%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL018+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:36:38 PM UTC 2026
% Result : Theorem 42.92s 9.95s
% Output : CNFRefutation 64.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( composition(X0,top) = X0
& complement(X0) != composition(complement(X0),top) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( sK0 = composition(sK0,top)
& complement(sK0) != composition(complement(sK0),top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
complement(sK0) != composition(complement(sK0),top),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f18]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f20]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_53,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f23]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f24]) ).
tcf(c_55,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f25]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f28]) ).
tcf(c_59,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f29]) ).
tcf(c_60,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f33]) ).
tcf(c_61,negated_conjecture,
composition(complement(sK0),top) != complement(sK0),
inference(cnf_transformation,[],[f32]) ).
tcf(c_62,negated_conjecture,
composition(sK0,top) = sK0,
inference(cnf_transformation,[],[f31]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
tcf(c_107,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
tcf(c_114,definition,
iPr_def_10 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_115,definition,
iPr_def_11 = complement(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_116,definition,
iPr_def_12 = composition(iPr_def_11,top),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_117,negated_conjecture,
iPr_def_10 = sK0,
inference(demodulation,[status(thm)],[c_62,c_114]) ).
tcf(c_118,negated_conjecture,
iPr_def_12 != iPr_def_11,
inference(demodulation,[status(thm)],[c_61,c_115,c_116]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_192,plain,
complement(iPr_def_10) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_115,c_117]) ).
tcf(c_193,plain,
composition(iPr_def_10,top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_114,c_117]) ).
tcf(c_198,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_107,c_75]) ).
tcf(c_199,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_192,c_75]) ).
tcf(c_200,plain,
! [X0: $i] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_107,c_75]) ).
tcf(c_201,plain,
! [X0: $i] : join(complement(join(complement(X0),iPr_def_10)),complement(join(complement(X0),iPr_def_11))) = X0,
inference(superposition,[status(thm)],[c_192,c_75]) ).
tcf(c_202,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_75,c_75]) ).
tcf(c_203,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_75,c_75]) ).
tcf(c_204,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_201,c_50,c_49]) ).
tcf(c_205,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_200,c_50,c_49]) ).
tcf(c_206,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_202,c_50,c_49]) ).
tcf(c_208,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_107,c_59]) ).
tcf(c_209,plain,
join(iPr_def_10,iPr_def_11) = top,
inference(superposition,[status(thm)],[c_192,c_59]) ).
tcf(c_210,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_75]) ).
tcf(c_211,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_59,c_75]) ).
tcf(c_212,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_210,c_50,c_49]) ).
tcf(c_213,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_212,c_107]) ).
tcf(c_214,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_211,c_107]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_75]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[status(thm)],[c_49,c_75]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_230,plain,
join(zero,complement(join(zero,zero))) = top,
inference(superposition,[status(thm)],[c_107,c_213]) ).
tcf(c_231,plain,
join(zero,complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_213]) ).
tcf(c_233,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_49,c_199]) ).
tcf(c_235,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_199]) ).
tcf(c_236,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_199]) ).
tcf(c_237,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_107,c_199]) ).
tcf(c_238,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_192,c_199]) ).
tcf(c_239,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_199,c_75]) ).
tcf(c_240,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_199,c_75]) ).
tcf(c_241,plain,
join(complement(top),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_236,c_50,c_49]) ).
tcf(c_243,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_238,c_50,c_49]) ).
tcf(c_245,plain,
join(zero,complement(join(iPr_def_11,complement(complement(iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_235,c_107]) ).
tcf(c_246,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_239,c_50,c_49]) ).
tcf(c_247,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_246,c_192]) ).
tcf(c_248,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_240,c_192]) ).
tcf(c_250,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_107,c_247]) ).
tcf(c_251,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_192,c_247]) ).
tcf(c_252,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_247]) ).
tcf(c_254,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top))))) = top,
inference(superposition,[status(thm)],[c_59,c_247]) ).
tcf(c_255,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_247,c_247]) ).
tcf(c_257,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_247,c_199]) ).
tcf(c_258,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_247,c_199]) ).
tcf(c_259,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_254,c_50,c_49]) ).
tcf(c_260,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_259,c_107]) ).
tcf(c_261,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_251,c_50,c_49]) ).
tcf(c_262,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_261,c_107,c_209]) ).
tcf(c_263,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_258,c_50,c_49]) ).
tcf(c_264,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(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_255,c_50,c_49]) ).
tcf(c_266,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_248]) ).
tcf(c_268,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(iPr_def_11)))))))) = top,
inference(superposition,[status(thm)],[c_59,c_248]) ).
tcf(c_269,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_247,c_248]) ).
tcf(c_271,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_248]) ).
tcf(c_272,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_247,c_248]) ).
tcf(c_274,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_107,c_248]) ).
tcf(c_275,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_10)),complement(complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_192,c_248]) ).
tcf(c_276,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(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_248,c_248]) ).
tcf(c_277,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_248,c_247]) ).
tcf(c_278,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(superposition,[status(thm)],[c_248,c_199]) ).
tcf(c_279,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_248,c_248]) ).
tcf(c_280,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_248,c_199]) ).
tcf(c_281,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_271,c_50,c_49]) ).
tcf(c_282,plain,
join(iPr_def_11,complement(join(complement(zero),complement(join(iPr_def_11,iPr_def_11))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_281,c_107]) ).
tcf(c_283,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(iPr_def_11)))))))) = top,
inference(light_normalisation,[status(thm)],[c_268,c_107]) ).
tcf(c_284,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_275,c_50,c_49]) ).
tcf(c_285,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_284,c_107,c_209]) ).
tcf(c_286,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_280,c_50,c_49]) ).
tcf(c_287,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_277,c_50,c_49]) ).
tcf(c_288,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),
inference(theory_normalisation,[status(thm)],[c_272,c_50,c_49]) ).
tcf(c_289,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_279,c_50,c_49]) ).
tcf(c_291,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero)))))))))) = top,
inference(superposition,[status(thm)],[c_262,c_248]) ).
tcf(c_292,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(iPr_def_11,zero)))),complement(top))))) = top,
inference(superposition,[status(thm)],[c_262,c_247]) ).
tcf(c_293,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_262,c_199]) ).
tcf(c_294,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))),complement(complement(top))))) = join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))),
inference(superposition,[status(thm)],[c_262,c_248]) ).
tcf(c_295,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))),complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_262,c_199]) ).
tcf(c_296,plain,
join(complement(top),complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_295,c_50,c_49]) ).
tcf(c_297,plain,
join(zero,complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_296,c_107]) ).
tcf(c_298,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_293,c_107]) ).
tcf(c_299,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,join(iPr_def_11,zero)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_292,c_50,c_49]) ).
tcf(c_300,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,join(iPr_def_11,zero)))))))) = top,
inference(light_normalisation,[status(thm)],[c_299,c_107]) ).
tcf(c_301,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_291,c_107]) ).
tcf(c_302,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))))))) = join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))),
inference(theory_normalisation,[status(thm)],[c_294,c_50,c_49]) ).
tcf(c_303,plain,
join(iPr_def_11,complement(join(complement(zero),complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))))))) = join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))),
inference(light_normalisation,[status(thm)],[c_302,c_107]) ).
tcf(c_304,plain,
join(complement(join(complement(join(iPr_def_11,top)),join(iPr_def_11,zero))),complement(iPr_def_10)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_237,c_75]) ).
tcf(c_305,plain,
join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_237,c_75]) ).
tcf(c_306,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_304,c_50,c_49]) ).
tcf(c_312,plain,
join(complement(top),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_233]) ).
tcf(c_319,plain,
! [X0: $i] : join(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))),complement(iPr_def_10)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_233,c_75]) ).
tcf(c_320,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_233,c_75]) ).
tcf(c_327,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_319,c_50,c_49]) ).
tcf(c_332,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))))))) = top,
inference(superposition,[status(thm)],[c_285,c_248]) ).
tcf(c_333,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))),complement(top))))) = top,
inference(superposition,[status(thm)],[c_285,c_247]) ).
tcf(c_334,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_285,c_199]) ).
tcf(c_336,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))),complement(complement(top))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(superposition,[status(thm)],[c_285,c_248]) ).
tcf(c_337,plain,
join(complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))),complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_285,c_199]) ).
tcf(c_338,plain,
join(complement(top),complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_337,c_50,c_49]) ).
tcf(c_339,plain,
join(zero,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_338,c_107]) ).
tcf(c_342,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_334,c_107]) ).
tcf(c_343,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_333,c_50,c_49]) ).
tcf(c_344,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_343,c_107]) ).
tcf(c_345,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_332,c_107]) ).
tcf(c_346,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_336,c_50,c_49]) ).
tcf(c_347,plain,
join(iPr_def_11,complement(join(complement(zero),complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(light_normalisation,[status(thm)],[c_346,c_107]) ).
tcf(c_348,plain,
! [X0: $i] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_107,c_76]) ).
tcf(c_349,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_192,c_76]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_55,c_76]) ).
tcf(c_351,plain,
! [X0: $i] : join(complement(one),composition(converse(X0),complement(X0))) = complement(one),
inference(superposition,[status(thm)],[c_53,c_76]) ).
tcf(c_352,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_57,c_76]) ).
tcf(c_353,plain,
join(complement(top),composition(converse(iPr_def_11),complement(iPr_def_12))) = complement(top),
inference(superposition,[status(thm)],[c_116,c_76]) ).
tcf(c_354,plain,
join(complement(top),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_193,c_76]) ).
tcf(c_355,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_76,c_75]) ).
tcf(c_356,plain,
join(zero,composition(converse(iPr_def_10),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_354,c_107,c_192]) ).
tcf(c_357,plain,
join(zero,composition(converse(iPr_def_11),complement(iPr_def_12))) = zero,
inference(light_normalisation,[status(thm)],[c_353,c_107]) ).
tcf(c_359,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_56,c_50]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
tcf(c_361,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_75,c_50]) ).
tcf(c_362,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_76,c_50]) ).
tcf(c_363,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_199,c_50]) ).
tcf(c_364,plain,
! [X0: $i] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_208,c_50]) ).
tcf(c_365,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_209,c_50]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(complement(X0),complement(X0))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_213,c_50]) ).
tcf(c_367,plain,
! [X0: $i] : join(zero,join(complement(join(zero,zero)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_230,c_50]) ).
tcf(c_368,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_231,c_50]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_233,c_50]) ).
tcf(c_370,plain,
! [X0: $i] : join(complement(join(iPr_def_11,top)),join(complement(join(iPr_def_11,zero)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_237,c_50]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_247,c_50]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_248,c_50]) ).
tcf(c_373,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,zero))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_262,c_50]) ).
tcf(c_374,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_285,c_50]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_50,c_59]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_233]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_371,c_50,c_49]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_372,c_50,c_49]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_381,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_57,c_52]) ).
tcf(c_382,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_116,c_52]) ).
tcf(c_383,plain,
! [X0: $i] : composition(iPr_def_10,composition(top,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_193,c_52]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] : composition(X0,composition(X1,one)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_385,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_52,c_76]) ).
tcf(c_388,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_52,c_54]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,one)) = composition(join(X0,X1),one),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_390,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_57,c_54]) ).
tcf(c_391,plain,
! [X0: $i] : join(iPr_def_12,composition(X0,top)) = composition(join(iPr_def_11,X0),top),
inference(superposition,[status(thm)],[c_116,c_54]) ).
tcf(c_392,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,top)) = composition(join(iPr_def_10,X0),top),
inference(superposition,[status(thm)],[c_193,c_54]) ).
tcf(c_393,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_52,c_54]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i] : join(composition(X0,one),X1) = composition(join(X0,X1),one),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_395,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_57,c_54]) ).
tcf(c_396,plain,
! [X0: $i] : join(composition(X0,top),iPr_def_12) = composition(join(X0,iPr_def_11),top),
inference(superposition,[status(thm)],[c_116,c_54]) ).
tcf(c_397,plain,
! [X0: $i] : join(composition(X0,top),iPr_def_10) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_193,c_54]) ).
tcf(c_398,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_54,c_50]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[status(thm)],[c_54,c_49]) ).
tcf(c_401,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,top)) = composition(join(X0,iPr_def_10),top),
inference(theory_normalisation,[status(thm)],[c_397,c_50,c_49]) ).
tcf(c_402,plain,
! [X0: $i] : join(iPr_def_12,composition(X0,top)) = composition(join(X0,iPr_def_11),top),
inference(theory_normalisation,[status(thm)],[c_396,c_50,c_49]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),one) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_394,c_53]) ).
tcf(c_404,plain,
! [X0: $i] : join(zero,join(composition(converse(iPr_def_10),iPr_def_11),X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_356,c_50]) ).
tcf(c_405,plain,
! [X0: $i] : join(zero,join(composition(converse(iPr_def_11),complement(iPr_def_12)),X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_357,c_50]) ).
tcf(c_407,plain,
! [X0: $i] : join(top,join(X0,zero)) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_364]) ).
tcf(c_409,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_59,c_364]) ).
tcf(c_410,plain,
! [X0: $i] : join(top,complement(join(complement(X0),complement(X0)))) = join(top,X0),
inference(superposition,[status(thm)],[c_213,c_364]) ).
tcf(c_411,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[status(thm)],[c_230,c_364]) ).
tcf(c_412,plain,
join(top,complement(join(iPr_def_11,iPr_def_11))) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_231,c_364]) ).
tcf(c_413,plain,
join(top,composition(converse(iPr_def_10),iPr_def_11)) = join(top,zero),
inference(superposition,[status(thm)],[c_356,c_364]) ).
tcf(c_414,plain,
join(top,composition(converse(iPr_def_11),complement(iPr_def_12))) = join(top,zero),
inference(superposition,[status(thm)],[c_357,c_364]) ).
tcf(c_416,plain,
join(top,composition(converse(iPr_def_10),iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_413,c_208]) ).
tcf(c_417,plain,
join(top,complement(join(iPr_def_11,iPr_def_11))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_412,c_50,c_49]) ).
tcf(c_418,plain,
join(top,composition(converse(iPr_def_11),complement(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_414,c_208]) ).
tcf(c_420,plain,
! [X0: $i] : join(top,join(complement(zero),X0)) = join(join(top,top),X0),
inference(superposition,[status(thm)],[c_409,c_50]) ).
tcf(c_421,plain,
! [X0: $i] : join(top,join(complement(zero),X0)) = join(top,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_420,c_50,c_49]) ).
tcf(c_422,plain,
! [X0: $i] : join(top,join(composition(converse(iPr_def_10),iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_416,c_50]) ).
tcf(c_424,plain,
composition(iPr_def_10,one) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_53,c_383]) ).
tcf(c_425,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_383,c_54]) ).
tcf(c_426,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_383,c_52]) ).
tcf(c_427,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_383,c_54]) ).
tcf(c_428,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_383,c_76]) ).
tcf(c_429,plain,
composition(iPr_def_10,one) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_424,c_193]) ).
tcf(c_430,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_427,c_50,c_49]) ).
tcf(c_432,plain,
! [X0: $i] : join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_55,c_349]) ).
tcf(c_433,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_52,c_349]) ).
tcf(c_434,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_349,c_50]) ).
tcf(c_435,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_349,c_248]) ).
tcf(c_436,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_349,c_247]) ).
tcf(c_437,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_349,c_199]) ).
tcf(c_438,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_436,c_50,c_49]) ).
tcf(c_442,plain,
join(iPr_def_10,composition(complement(iPr_def_10),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_59,c_392]) ).
tcf(c_443,plain,
join(iPr_def_10,composition(iPr_def_11,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_209,c_392]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(X0,top)),composition(X1,top)) = composition(join(join(iPr_def_10,X0),X1),top),
inference(superposition,[status(thm)],[c_392,c_54]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(X0,top)),X1) = composition(join(iPr_def_10,X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_392,c_52]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(iPr_def_10,composition(X1,top))) = composition(join(X0,join(iPr_def_10,X1)),top),
inference(superposition,[status(thm)],[c_392,c_54]) ).
tcf(c_447,plain,
! [X0: $i] : join(complement(top),composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(X0,top))))) = complement(top),
inference(superposition,[status(thm)],[c_392,c_76]) ).
tcf(c_448,plain,
join(iPr_def_10,iPr_def_12) = composition(top,top),
inference(light_normalisation,[status(thm)],[c_443,c_116]) ).
tcf(c_450,plain,
! [X0: $i] : join(zero,composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_447,c_107]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,top),composition(X1,top))) = composition(join(X0,join(iPr_def_10,X1)),top),
inference(theory_normalisation,[status(thm)],[c_446,c_50,c_49]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,top),composition(X1,top))) = composition(join(iPr_def_10,join(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_444,c_50,c_49]) ).
tcf(c_454,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_11)) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_365]) ).
tcf(c_456,plain,
join(top,complement(iPr_def_11)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_59,c_365]) ).
tcf(c_457,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))) = join(iPr_def_10,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_247,c_365]) ).
tcf(c_458,plain,
! [X0: $i] : join(top,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_10,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_248,c_365]) ).
tcf(c_459,plain,
join(top,complement(join(iPr_def_11,join(iPr_def_11,zero)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_262,c_365]) ).
tcf(c_460,plain,
join(top,complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_285,c_365]) ).
tcf(c_461,plain,
! [X0: $i] : join(top,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_349,c_365]) ).
tcf(c_463,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,X0),top)) = composition(join(top,X0),top),
inference(superposition,[status(thm)],[c_365,c_392]) ).
tcf(c_464,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(X0,top))) = composition(join(top,X0),top),
inference(light_normalisation,[status(thm)],[c_463,c_391]) ).
tcf(c_466,plain,
! [X0: $i] : join(top,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = top,
inference(light_normalisation,[status(thm)],[c_461,c_209]) ).
tcf(c_467,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_457,c_365]) ).
tcf(c_468,plain,
! [X0: $i] : join(top,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_458,c_365]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,X1),top)) = composition(join(X0,join(X1,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_50,c_401]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(X0,top)),X1) = composition(join(X0,iPr_def_10),composition(top,X1)),
inference(superposition,[status(thm)],[c_401,c_52]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(iPr_def_10,composition(X1,top))) = composition(join(X0,join(X1,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_401,c_54]) ).
tcf(c_476,plain,
! [X0: $i] : join(complement(top),composition(converse(join(X0,iPr_def_10)),complement(join(iPr_def_10,composition(X0,top))))) = complement(top),
inference(superposition,[status(thm)],[c_401,c_76]) ).
tcf(c_477,plain,
! [X0: $i] : join(zero,composition(converse(join(X0,iPr_def_10)),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_476,c_107]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,top),composition(X1,top))) = composition(join(X0,join(X1,iPr_def_10)),top),
inference(theory_normalisation,[status(thm)],[c_475,c_50,c_49]) ).
tcf(c_481,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_52,c_432]) ).
tcf(c_483,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_432,c_50]) ).
tcf(c_484,plain,
! [X0: $i] : join(top,composition(X0,complement(composition(converse(X0),iPr_def_10)))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_432,c_365]) ).
tcf(c_485,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_432,c_248]) ).
tcf(c_486,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_432,c_247]) ).
tcf(c_487,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_432,c_199]) ).
tcf(c_488,plain,
! [X0: $i] : join(top,composition(X0,complement(composition(converse(X0),iPr_def_10)))) = top,
inference(light_normalisation,[status(thm)],[c_484,c_209]) ).
tcf(c_489,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_486,c_50,c_49]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_52,c_466]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i] : join(top,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_466,c_50]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i] : join(top,composition(X0,composition(X1,complement(composition(converse(composition(X0,X1)),iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_52,c_488]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i] : join(top,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_488,c_50]) ).
tcf(c_499,plain,
! [X0: $i] : join(complement(join(X0,zero)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_49,c_198]) ).
tcf(c_501,plain,
join(complement(top),complement(join(zero,complement(complement(zero))))) = top,
inference(superposition,[status(thm)],[c_59,c_198]) ).
tcf(c_502,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(complement(join(complement(X0),complement(X0))))))) = top,
inference(superposition,[status(thm)],[c_213,c_198]) ).
tcf(c_503,plain,
join(complement(top),complement(join(zero,complement(complement(join(zero,zero)))))) = top,
inference(superposition,[status(thm)],[c_230,c_198]) ).
tcf(c_504,plain,
join(complement(iPr_def_10),complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_231,c_198]) ).
tcf(c_505,plain,
join(complement(zero),complement(join(zero,complement(composition(converse(iPr_def_10),iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_356,c_198]) ).
tcf(c_506,plain,
join(complement(zero),complement(join(zero,complement(composition(converse(iPr_def_11),complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_357,c_198]) ).
tcf(c_507,plain,
join(complement(join(zero,zero)),complement(top)) = top,
inference(superposition,[status(thm)],[c_59,c_198]) ).
tcf(c_508,plain,
! [X0: $i] : join(complement(join(zero,join(complement(X0),complement(X0)))),complement(X0)) = top,
inference(superposition,[status(thm)],[c_213,c_198]) ).
tcf(c_509,plain,
join(complement(join(zero,join(zero,zero))),complement(top)) = top,
inference(superposition,[status(thm)],[c_230,c_198]) ).
tcf(c_510,plain,
join(complement(join(zero,join(iPr_def_11,iPr_def_11))),complement(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_231,c_198]) ).
tcf(c_511,plain,
join(complement(join(zero,top)),complement(join(zero,zero))) = top,
inference(superposition,[status(thm)],[c_107,c_198]) ).
tcf(c_512,plain,
join(complement(join(zero,iPr_def_10)),complement(join(zero,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_192,c_198]) ).
tcf(c_513,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_198,c_50]) ).
tcf(c_514,plain,
! [X0: $i] : join(complement(join(complement(join(zero,X0)),join(zero,complement(X0)))),complement(top)) = join(zero,X0),
inference(superposition,[status(thm)],[c_198,c_75]) ).
tcf(c_515,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_198,c_75]) ).
tcf(c_516,plain,
join(complement(top),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_507,c_50,c_49]) ).
tcf(c_518,plain,
join(complement(join(iPr_def_10,zero)),complement(join(iPr_def_11,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_512,c_50,c_49]) ).
tcf(c_519,plain,
join(complement(join(top,zero)),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_511,c_50,c_49]) ).
tcf(c_521,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,join(iPr_def_11,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_510,c_50,c_49]) ).
tcf(c_523,plain,
join(complement(top),complement(join(zero,join(zero,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_509,c_50,c_49]) ).
tcf(c_524,plain,
join(zero,complement(join(zero,join(zero,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_523,c_107]) ).
tcf(c_525,plain,
join(zero,complement(join(zero,complement(complement(zero))))) = top,
inference(light_normalisation,[status(thm)],[c_501,c_107]) ).
tcf(c_526,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,join(complement(X0),complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_508,c_50,c_49]) ).
tcf(c_528,plain,
join(zero,complement(join(zero,complement(complement(join(zero,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_503,c_107]) ).
tcf(c_529,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_514,c_50,c_49]) ).
tcf(c_530,plain,
! [X0: $i] : join(zero,complement(join(zero,join(complement(X0),complement(join(zero,X0)))))) = join(zero,X0),
inference(light_normalisation,[status(thm)],[c_529,c_107]) ).
tcf(c_531,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_515,c_107]) ).
tcf(c_532,plain,
! [X0: $i] : join(top,join(complement(iPr_def_11),X0)) = join(join(iPr_def_10,top),X0),
inference(superposition,[status(thm)],[c_456,c_50]) ).
tcf(c_533,plain,
! [X0: $i] : join(top,join(complement(iPr_def_11),X0)) = join(iPr_def_10,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_532,c_50,c_49]) ).
tcf(c_536,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_380,c_54]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i] : composition(X0,composition(composition(one,X1),X2)) = composition(composition(X0,X1),X2),
inference(superposition,[status(thm)],[c_380,c_52]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i] : composition(X0,composition(X1,composition(one,X2))) = composition(composition(X0,X1),X2),
inference(superposition,[status(thm)],[c_380,c_52]) ).
tcf(c_539,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_380,c_54]) ).
tcf(c_540,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_380,c_76]) ).
tcf(c_541,plain,
! [X0: $i] : composition(iPr_def_10,composition(one,X0)) = composition(iPr_def_10,composition(top,X0)),
inference(superposition,[status(thm)],[c_380,c_383]) ).
tcf(c_542,plain,
! [X0: $i] : composition(iPr_def_10,composition(one,X0)) = composition(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_541,c_383]) ).
tcf(c_543,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_539,c_380,c_399]) ).
tcf(c_545,plain,
composition(iPr_def_11,top) = composition(iPr_def_12,one),
inference(superposition,[status(thm)],[c_53,c_382]) ).
tcf(c_546,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,X0)) = composition(iPr_def_12,composition(one,X0)),
inference(superposition,[status(thm)],[c_380,c_382]) ).
tcf(c_547,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_382,c_54]) ).
tcf(c_548,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_382,c_52]) ).
tcf(c_549,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_382,c_54]) ).
tcf(c_550,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_382,c_76]) ).
tcf(c_551,plain,
composition(iPr_def_12,one) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_545,c_116]) ).
tcf(c_552,plain,
! [X0: $i] : composition(iPr_def_12,composition(one,X0)) = composition(iPr_def_12,X0),
inference(light_normalisation,[status(thm)],[c_546,c_382]) ).
tcf(c_553,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_549,c_50,c_49]) ).
tcf(c_556,plain,
! [X0: $i] : composition(join(iPr_def_10,iPr_def_12),X0) = composition(top,composition(top,X0)),
inference(superposition,[status(thm)],[c_448,c_52]) ).
tcf(c_557,plain,
! [X0: $i] : join(composition(X0,top),join(iPr_def_10,iPr_def_12)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_448,c_54]) ).
tcf(c_558,plain,
join(complement(top),composition(converse(top),complement(join(iPr_def_10,iPr_def_12)))) = complement(top),
inference(superposition,[status(thm)],[c_448,c_76]) ).
tcf(c_559,plain,
composition(iPr_def_11,join(iPr_def_10,iPr_def_12)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_448,c_382]) ).
tcf(c_560,plain,
composition(iPr_def_10,join(iPr_def_10,iPr_def_12)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_448,c_383]) ).
tcf(c_561,plain,
composition(iPr_def_10,join(iPr_def_10,iPr_def_12)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_560,c_193]) ).
tcf(c_562,plain,
join(zero,composition(converse(top),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(light_normalisation,[status(thm)],[c_558,c_107]) ).
tcf(c_563,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(X0,top))) = composition(join(X0,top),top),
inference(theory_normalisation,[status(thm)],[c_557,c_50,c_49]) ).
tcf(c_567,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,join(iPr_def_10,iPr_def_12))) = composition(join(iPr_def_10,X0),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_561,c_54]) ).
tcf(c_568,plain,
! [X0: $i] : composition(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_561,c_52]) ).
tcf(c_569,plain,
! [X0: $i] : join(composition(X0,join(iPr_def_10,iPr_def_12)),iPr_def_10) = composition(join(X0,iPr_def_10),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_561,c_54]) ).
tcf(c_570,plain,
join(complement(join(iPr_def_10,iPr_def_12)),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_561,c_76]) ).
tcf(c_571,plain,
! [X0: $i] : composition(iPr_def_10,composition(top,composition(top,X0))) = composition(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_568,c_556]) ).
tcf(c_572,plain,
join(complement(join(iPr_def_10,iPr_def_12)),composition(converse(iPr_def_10),iPr_def_11)) = complement(join(iPr_def_10,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_570,c_192]) ).
tcf(c_573,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,join(iPr_def_10,iPr_def_12))) = composition(join(X0,iPr_def_10),join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_569,c_50,c_49]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,zero))) = join(top,join(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_407]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i] : join(top,join(join(X0,zero),X1)) = join(join(top,X0),X1),
inference(superposition,[status(thm)],[c_407,c_50]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(zero,X1))) = join(top,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_578,c_50,c_49]) ).
tcf(c_583,plain,
! [X0: $i] : join(top,join(composition(converse(iPr_def_11),complement(iPr_def_12)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_418,c_50]) ).
tcf(c_584,plain,
! [X0: $i] : join(complement(join(iPr_def_10,iPr_def_12)),join(composition(converse(iPr_def_10),iPr_def_11),X0)) = join(complement(join(iPr_def_10,iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_572,c_50]) ).
tcf(c_585,plain,
join(complement(complement(join(iPr_def_10,iPr_def_12))),complement(join(complement(join(iPr_def_10,iPr_def_12)),complement(composition(converse(iPr_def_10),iPr_def_11))))) = join(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_572,c_75]) ).
tcf(c_586,plain,
! [X0: $i] : join(complement(join(iPr_def_10,zero)),join(complement(join(iPr_def_11,zero)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_518,c_50]) ).
tcf(c_587,plain,
join(complement(join(complement(join(iPr_def_10,zero)),join(iPr_def_11,zero))),complement(top)) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_518,c_75]) ).
tcf(c_588,plain,
join(complement(top),complement(join(complement(join(iPr_def_10,zero)),complement(complement(join(iPr_def_11,zero)))))) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_518,c_75]) ).
tcf(c_589,plain,
join(complement(top),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_10,zero)))))) = join(iPr_def_10,zero),
inference(theory_normalisation,[status(thm)],[c_587,c_50,c_49]) ).
tcf(c_590,plain,
join(zero,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_10,zero)))))) = join(iPr_def_10,zero),
inference(light_normalisation,[status(thm)],[c_589,c_107]) ).
tcf(c_591,plain,
join(zero,complement(join(complement(join(iPr_def_10,zero)),complement(complement(join(iPr_def_11,zero)))))) = join(iPr_def_10,zero),
inference(light_normalisation,[status(thm)],[c_588,c_107]) ).
tcf(c_593,plain,
! [X0: $i] : join(zero,join(X0,complement(join(iPr_def_11,iPr_def_11)))) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_49,c_368]) ).
tcf(c_595,plain,
join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_11)))) = join(zero,top),
inference(superposition,[status(thm)],[c_59,c_368]) ).
tcf(c_596,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,join(iPr_def_11,iPr_def_11))))) = join(zero,complement(join(iPr_def_11,iPr_def_11))),
inference(superposition,[status(thm)],[c_76,c_368]) ).
tcf(c_597,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(iPr_def_11)))) = join(zero,iPr_def_10),
inference(superposition,[status(thm)],[c_199,c_368]) ).
tcf(c_600,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(zero,complement(join(complement(join(iPr_def_11,iPr_def_11)),X0))))) = top,
inference(superposition,[status(thm)],[c_368,c_198]) ).
tcf(c_601,plain,
! [X0: $i] : join(top,join(complement(join(iPr_def_11,iPr_def_11)),X0)) = join(top,join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_368,c_364]) ).
tcf(c_602,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(iPr_def_11)))) = join(iPr_def_10,zero),
inference(theory_normalisation,[status(thm)],[c_597,c_50,c_49]) ).
tcf(c_603,plain,
join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_11)))) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_595,c_50,c_49]) ).
tcf(c_604,plain,
join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_603,c_208]) ).
tcf(c_605,plain,
! [X0: $i] : join(top,join(complement(join(iPr_def_11,iPr_def_11)),X0)) = join(iPr_def_10,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_601,c_50,c_49]) ).
tcf(c_607,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_596,c_231]) ).
tcf(c_609,plain,
! [X0: $i] : join(zero,join(X0,composition(converse(iPr_def_10),iPr_def_11))) = join(zero,X0),
inference(superposition,[status(thm)],[c_49,c_404]) ).
tcf(c_611,plain,
! [X0: $i] : join(zero,composition(join(converse(iPr_def_10),X0),iPr_def_11)) = join(zero,composition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_54,c_404]) ).
tcf(c_612,plain,
join(zero,complement(composition(converse(iPr_def_10),iPr_def_11))) = join(zero,top),
inference(superposition,[status(thm)],[c_59,c_404]) ).
tcf(c_614,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(join(composition(converse(iPr_def_10),iPr_def_11),X0))))) = top,
inference(superposition,[status(thm)],[c_404,c_198]) ).
tcf(c_615,plain,
! [X0: $i] : join(top,join(composition(converse(iPr_def_10),iPr_def_11),X0)) = join(top,join(zero,X0)),
inference(superposition,[status(thm)],[c_404,c_364]) ).
tcf(c_616,plain,
join(zero,complement(composition(converse(iPr_def_10),iPr_def_11))) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_612,c_50,c_49]) ).
tcf(c_617,plain,
join(zero,complement(composition(converse(iPr_def_10),iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_616,c_208]) ).
tcf(c_626,plain,
join(complement(join(iPr_def_10,complement(iPr_def_11))),complement(top)) = iPr_def_11,
inference(superposition,[status(thm)],[c_59,c_204]) ).
tcf(c_627,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0))) = join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_247,c_204]) ).
tcf(c_628,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,X0))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_248,c_204]) ).
tcf(c_629,plain,
join(complement(join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_11,zero))))),complement(top)) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(superposition,[status(thm)],[c_262,c_204]) ).
tcf(c_630,plain,
join(complement(join(iPr_def_10,complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))),complement(top)) = join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),
inference(superposition,[status(thm)],[c_285,c_204]) ).
tcf(c_633,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_204,c_50]) ).
tcf(c_634,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_204,c_75]) ).
tcf(c_635,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(superposition,[status(thm)],[c_204,c_75]) ).
tcf(c_636,plain,
join(complement(top),complement(join(iPr_def_10,complement(iPr_def_11)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_626,c_50,c_49]) ).
tcf(c_637,plain,
join(zero,complement(join(iPr_def_10,complement(iPr_def_11)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_636,c_107]) ).
tcf(c_638,plain,
join(complement(top),complement(join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_11,zero)))))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(theory_normalisation,[status(thm)],[c_629,c_50,c_49]) ).
tcf(c_639,plain,
join(zero,complement(join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_11,zero)))))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(light_normalisation,[status(thm)],[c_638,c_107]) ).
tcf(c_640,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_634,c_50,c_49]) ).
tcf(c_641,plain,
join(complement(top),complement(join(iPr_def_10,complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))) = join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_630,c_50,c_49]) ).
tcf(c_642,plain,
join(zero,complement(join(iPr_def_10,complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))) = join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_641,c_107]) ).
tcf(c_643,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(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_627,c_50,c_49]) ).
tcf(c_644,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_10,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_628,c_50,c_49]) ).
tcf(c_652,plain,
join(complement(zero),zero) = top,
inference(light_normalisation,[status(thm)],[c_505,c_107,c_617]) ).
tcf(c_654,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_607]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_607]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,join(iPr_def_11,iPr_def_11)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_607,c_50]) ).
tcf(c_657,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,join(iPr_def_11,iPr_def_11)))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_607,c_392]) ).
tcf(c_658,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,join(iPr_def_11,iPr_def_11)))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_657,c_193]) ).
tcf(c_662,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_49,c_203]) ).
tcf(c_664,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_59,c_203]) ).
tcf(c_666,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_76,c_203]) ).
tcf(c_668,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_198,c_203]) ).
tcf(c_669,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_199,c_203]) ).
tcf(c_670,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_204,c_203]) ).
tcf(c_671,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_10),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_233,c_203]) ).
tcf(c_672,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(iPr_def_10),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_237,c_203]) ).
tcf(c_673,plain,
join(complement(join(iPr_def_10,zero)),complement(join(complement(top),complement(complement(join(complement(join(iPr_def_10,zero)),complement(complement(join(iPr_def_11,zero))))))))) = top,
inference(superposition,[status(thm)],[c_518,c_203]) ).
tcf(c_674,plain,
join(complement(join(iPr_def_10,iPr_def_12)),complement(join(complement(complement(join(iPr_def_10,iPr_def_12))),complement(complement(join(complement(join(iPr_def_10,iPr_def_12)),complement(composition(converse(iPr_def_10),iPr_def_11)))))))) = complement(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_572,c_203]) ).
tcf(c_677,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_49,c_203]) ).
tcf(c_679,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_59,c_203]) ).
tcf(c_680,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_75,c_203]) ).
tcf(c_682,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_198,c_203]) ).
tcf(c_683,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_199,c_203]) ).
tcf(c_684,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_204,c_203]) ).
tcf(c_685,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))),complement(complement(iPr_def_10))))) = join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_233,c_203]) ).
tcf(c_686,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(complement(join(iPr_def_11,top)),join(iPr_def_11,zero))),complement(complement(iPr_def_10))))) = join(complement(join(iPr_def_11,top)),join(iPr_def_11,zero)),
inference(superposition,[status(thm)],[c_237,c_203]) ).
tcf(c_687,plain,
join(complement(join(iPr_def_10,zero)),complement(join(complement(join(complement(join(iPr_def_10,zero)),join(iPr_def_11,zero))),complement(complement(top))))) = join(complement(join(iPr_def_10,zero)),join(iPr_def_11,zero)),
inference(superposition,[status(thm)],[c_518,c_203]) ).
tcf(c_690,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_107,c_203]) ).
tcf(c_692,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_203,c_50]) ).
tcf(c_693,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_203,c_203]) ).
tcf(c_694,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_203,c_75]) ).
tcf(c_695,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_203,c_203]) ).
tcf(c_696,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_203,c_75]) ).
tcf(c_697,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(join(complement(join(iPr_def_11,iPr_def_11)),X0)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(X0))))))) = join(zero,join(complement(join(iPr_def_11,iPr_def_11)),X0)),
inference(superposition,[status(thm)],[c_203,c_368]) ).
tcf(c_698,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_664,c_107]) ).
tcf(c_699,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_679,c_50,c_49]) ).
tcf(c_700,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_699,c_107]) ).
tcf(c_702,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_690,c_50,c_49]) ).
tcf(c_703,plain,
join(complement(join(iPr_def_10,zero)),complement(join(zero,complement(complement(join(complement(join(iPr_def_10,zero)),complement(complement(join(iPr_def_11,zero))))))))) = top,
inference(light_normalisation,[status(thm)],[c_673,c_107]) ).
tcf(c_704,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_672,c_192]) ).
tcf(c_705,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_671,c_192]) ).
tcf(c_707,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_668,c_107]) ).
tcf(c_708,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_694,c_50,c_49]) ).
tcf(c_709,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_692,c_50,c_49]) ).
tcf(c_710,plain,
join(complement(join(iPr_def_10,zero)),complement(join(complement(complement(top)),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_10,zero)))))))) = join(iPr_def_11,join(zero,complement(join(iPr_def_10,zero)))),
inference(theory_normalisation,[status(thm)],[c_687,c_50,c_49]) ).
tcf(c_711,plain,
join(complement(join(iPr_def_10,zero)),complement(join(complement(zero),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_10,zero)))))))) = join(iPr_def_11,join(zero,complement(join(iPr_def_10,zero)))),
inference(light_normalisation,[status(thm)],[c_710,c_107]) ).
tcf(c_712,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(complement(iPr_def_10)),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))) = join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))),
inference(theory_normalisation,[status(thm)],[c_686,c_50,c_49]) ).
tcf(c_713,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))) = join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))),
inference(light_normalisation,[status(thm)],[c_712,c_192]) ).
tcf(c_714,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(join(complement(join(iPr_def_11,iPr_def_11)),X0)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(X0))))))) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_697,c_368]) ).
tcf(c_715,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(complement(iPr_def_10)),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_685,c_50,c_49]) ).
tcf(c_716,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_715,c_192]) ).
tcf(c_717,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_683,c_50,c_49]) ).
tcf(c_718,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_717,c_192]) ).
tcf(c_719,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_682,c_50,c_49]) ).
tcf(c_720,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_719,c_107]) ).
tcf(c_721,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_684,c_50,c_49]) ).
tcf(c_722,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_680,c_50,c_49]) ).
tcf(c_723,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_693,c_50,c_49]) ).
tcf(c_734,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_50,c_454]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),X1)) = join(join(top,X0),X1),
inference(superposition,[status(thm)],[c_454,c_50]) ).
tcf(c_737,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_11),top)) = composition(join(top,X0),top),
inference(superposition,[status(thm)],[c_454,c_392]) ).
tcf(c_738,plain,
! [X0: $i] : composition(join(X0,top),top) = composition(join(top,X0),top),
inference(light_normalisation,[status(thm)],[c_737,c_402,c_563]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = join(top,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_736,c_50,c_49]) ).
tcf(c_740,plain,
! [X0: $i] : join(iPr_def_10,join(complement(complement(join(iPr_def_11,iPr_def_11))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_604,c_50]) ).
tcf(c_741,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_11)))))) = complement(join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_604,c_204]) ).
tcf(c_742,plain,
join(iPr_def_10,composition(complement(complement(join(iPr_def_11,iPr_def_11))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_604,c_392]) ).
tcf(c_743,plain,
join(iPr_def_10,composition(complement(complement(join(iPr_def_11,iPr_def_11))),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_742,c_448]) ).
tcf(c_744,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_11)))))) = complement(join(iPr_def_11,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_741,c_107]) ).
tcf(c_745,plain,
! [X0: $i] : join(zero,join(complement(composition(converse(iPr_def_10),iPr_def_11)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_617,c_50]) ).
tcf(c_746,plain,
join(complement(top),complement(join(zero,complement(complement(composition(converse(iPr_def_10),iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_617,c_198]) ).
tcf(c_747,plain,
join(top,complement(composition(converse(iPr_def_10),iPr_def_11))) = join(top,top),
inference(superposition,[status(thm)],[c_617,c_364]) ).
tcf(c_748,plain,
join(complement(join(zero,composition(converse(iPr_def_10),iPr_def_11))),complement(top)) = top,
inference(superposition,[status(thm)],[c_617,c_198]) ).
tcf(c_749,plain,
join(complement(top),complement(join(zero,composition(converse(iPr_def_10),iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_748,c_50,c_49]) ).
tcf(c_750,plain,
join(zero,complement(zero)) = top,
inference(light_normalisation,[status(thm)],[c_749,c_107,c_356]) ).
tcf(c_751,plain,
join(zero,complement(join(zero,complement(complement(composition(converse(iPr_def_10),iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_746,c_107]) ).
tcf(c_752,plain,
! [X0: $i] : join(zero,join(complement(join(iPr_def_10,complement(iPr_def_11))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_637,c_50]) ).
tcf(c_753,plain,
join(complement(iPr_def_11),complement(join(zero,complement(complement(join(iPr_def_10,complement(iPr_def_11))))))) = top,
inference(superposition,[status(thm)],[c_637,c_198]) ).
tcf(c_754,plain,
join(top,complement(join(iPr_def_10,complement(iPr_def_11)))) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_637,c_364]) ).
tcf(c_755,plain,
join(complement(join(zero,join(iPr_def_10,complement(iPr_def_11)))),complement(iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_637,c_198]) ).
tcf(c_756,plain,
join(top,complement(join(iPr_def_10,complement(iPr_def_11)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_754,c_50,c_49]) ).
tcf(c_757,plain,
join(complement(iPr_def_11),complement(join(iPr_def_10,join(zero,complement(iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_755,c_50,c_49]) ).
tcf(c_758,plain,
! [X0: $i] : join(composition(iPr_def_12,top),composition(X0,join(iPr_def_10,iPr_def_12))) = composition(join(iPr_def_11,X0),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_559,c_54]) ).
tcf(c_759,plain,
! [X0: $i] : composition(iPr_def_11,composition(join(iPr_def_10,iPr_def_12),X0)) = composition(composition(iPr_def_12,top),X0),
inference(superposition,[status(thm)],[c_559,c_52]) ).
tcf(c_760,plain,
! [X0: $i] : join(composition(X0,join(iPr_def_10,iPr_def_12)),composition(iPr_def_12,top)) = composition(join(X0,iPr_def_11),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_559,c_54]) ).
tcf(c_761,plain,
join(complement(join(iPr_def_10,iPr_def_12)),composition(converse(iPr_def_11),complement(composition(iPr_def_12,top)))) = complement(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_559,c_76]) ).
tcf(c_762,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,composition(top,X0))) = composition(composition(iPr_def_12,top),X0),
inference(light_normalisation,[status(thm)],[c_759,c_556]) ).
tcf(c_763,plain,
! [X0: $i] : join(composition(iPr_def_12,top),composition(X0,join(iPr_def_10,iPr_def_12))) = composition(join(X0,iPr_def_11),join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_760,c_50,c_49]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(X1,converse(X0)),
inference(superposition,[status(thm)],[c_49,c_221]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = converse(converse(join(X0,X1))),
inference(superposition,[status(thm)],[c_56,c_221]) ).
tcf(c_768,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_221]) ).
tcf(c_772,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_607]) ).
tcf(c_773,plain,
! [X0: $i,X1: $i] : join(top,composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_221,c_488]) ).
tcf(c_774,plain,
! [X0: $i,X1: $i] : join(top,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_221,c_466]) ).
tcf(c_775,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_221,c_432]) ).
tcf(c_776,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_221,c_349]) ).
tcf(c_777,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_221,c_57]) ).
tcf(c_778,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_221,c_56]) ).
tcf(c_780,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_221,c_76]) ).
tcf(c_781,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_221,c_57]) ).
tcf(c_782,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_221,c_56]) ).
tcf(c_783,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_778,c_50,c_49]) ).
tcf(c_800,plain,
! [X0: $i] : join(converse(X0),converse(complement(X0))) = converse(top),
inference(superposition,[status(thm)],[c_55,c_768]) ).
tcf(c_801,plain,
! [X0: $i,X1: $i] : join(join(converse(X0),X1),converse(complement(join(X0,converse(X1))))) = converse(top),
inference(superposition,[status(thm)],[c_221,c_768]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),X1)) = join(converse(top),X1),
inference(superposition,[status(thm)],[c_768,c_50]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(join(X0,X1)))))) = converse(top),
inference(superposition,[status(thm)],[c_768,c_50]) ).
tcf(c_804,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_768,c_203]) ).
tcf(c_805,plain,
! [X0: $i] : join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_768,c_75]) ).
tcf(c_806,plain,
! [X0: $i] : converse(join(X0,complement(converse(converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_768,c_56]) ).
tcf(c_807,plain,
join(complement(converse(top)),complement(join(zero,complement(converse(complement(converse(zero))))))) = top,
inference(superposition,[status(thm)],[c_768,c_198]) ).
tcf(c_808,plain,
join(top,converse(complement(converse(zero)))) = join(top,converse(top)),
inference(superposition,[status(thm)],[c_768,c_364]) ).
tcf(c_809,plain,
join(top,converse(complement(converse(iPr_def_11)))) = join(iPr_def_10,converse(top)),
inference(superposition,[status(thm)],[c_768,c_365]) ).
tcf(c_810,plain,
join(iPr_def_11,complement(join(complement(converse(top)),complement(complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))))))) = converse(top),
inference(superposition,[status(thm)],[c_768,c_248]) ).
tcf(c_811,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),complement(converse(top)))))) = converse(top),
inference(superposition,[status(thm)],[c_768,c_247]) ).
tcf(c_812,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_768,c_199]) ).
tcf(c_813,plain,
! [X0: $i] : join(X0,converse(converse(complement(converse(converse(X0)))))) = converse(converse(top)),
inference(superposition,[status(thm)],[c_768,c_221]) ).
tcf(c_814,plain,
join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),top)) = composition(converse(top),top),
inference(superposition,[status(thm)],[c_768,c_392]) ).
tcf(c_815,plain,
join(iPr_def_10,converse(complement(converse(complement(join(iPr_def_11,iPr_def_11)))))) = join(zero,converse(top)),
inference(superposition,[status(thm)],[c_768,c_368]) ).
tcf(c_816,plain,
join(zero,converse(complement(converse(composition(converse(iPr_def_10),iPr_def_11))))) = join(zero,converse(top)),
inference(superposition,[status(thm)],[c_768,c_404]) ).
tcf(c_818,plain,
! [X0: $i] : join(X0,converse(converse(complement(X0)))) = converse(converse(top)),
inference(light_normalisation,[status(thm)],[c_813,c_55]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(join(X0,converse(X1)))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_801,c_50,c_49]) ).
tcf(c_820,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(converse(top)),complement(converse(complement(converse(iPr_def_11)))))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_811,c_50,c_49]) ).
tcf(c_823,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),top))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_658,c_52]) ).
tcf(c_824,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_823]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_823]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_823]) ).
tcf(c_827,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),top)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_823,c_50]) ).
tcf(c_828,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),top)),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_823,c_392]) ).
tcf(c_829,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),top)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_828,c_193]) ).
tcf(c_831,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_829,c_52,c_448]) ).
tcf(c_832,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_831]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_831]) ).
tcf(c_834,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_831]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_831,c_50]) ).
tcf(c_836,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_831,c_392]) ).
tcf(c_837,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_836,c_193]) ).
tcf(c_839,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_837,c_52,c_448,c_556]) ).
tcf(c_840,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_839]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_839]) ).
tcf(c_842,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_839]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_839,c_50]) ).
tcf(c_844,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12)))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_839,c_392]) ).
tcf(c_845,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12)))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_844,c_193]) ).
tcf(c_847,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_845,c_52,c_448,c_556]) ).
tcf(c_848,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_847]) ).
tcf(c_849,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_847]) ).
tcf(c_850,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_847]) ).
tcf(c_851,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_847,c_50]) ).
tcf(c_852,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_847,c_392]) ).
tcf(c_853,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_852,c_193]) ).
tcf(c_854,plain,
! [X0: $i] : join(complement(join(iPr_def_11,top)),join(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_704,c_50]) ).
tcf(c_855,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(complement(join(iPr_def_11,top)),join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),complement(complement(iPr_def_10))))) = join(complement(join(iPr_def_11,top)),join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),
inference(superposition,[status(thm)],[c_704,c_203]) ).
tcf(c_856,plain,
join(complement(join(complement(join(iPr_def_11,top)),join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),complement(iPr_def_10)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_704,c_75]) ).
tcf(c_857,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(iPr_def_10),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_704,c_203]) ).
tcf(c_858,plain,
join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_704,c_75]) ).
tcf(c_859,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_856,c_50,c_49]) ).
tcf(c_860,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,top),
inference(light_normalisation,[status(thm)],[c_859,c_192]) ).
tcf(c_861,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,top),
inference(light_normalisation,[status(thm)],[c_858,c_192]) ).
tcf(c_862,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_857,c_192]) ).
tcf(c_863,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(complement(iPr_def_10)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),
inference(theory_normalisation,[status(thm)],[c_855,c_50,c_49]) ).
tcf(c_864,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),
inference(light_normalisation,[status(thm)],[c_863,c_192]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_705]) ).
tcf(c_873,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_705]) ).
tcf(c_874,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_705]) ).
tcf(c_875,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_247,c_705]) ).
tcf(c_876,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_248,c_705]) ).
tcf(c_877,plain,
join(complement(join(join(iPr_def_11,join(iPr_def_11,zero)),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(iPr_def_11,zero)),iPr_def_11)),complement(complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_262,c_705]) ).
tcf(c_878,plain,
join(complement(join(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),iPr_def_11)),complement(complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_285,c_705]) ).
tcf(c_880,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_705]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_705,c_50]) ).
tcf(c_882,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(iPr_def_10))))) = join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_705,c_203]) ).
tcf(c_883,plain,
! [X0: $i] : join(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(iPr_def_10)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_705,c_75]) ).
tcf(c_884,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_10),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_705,c_203]) ).
tcf(c_885,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_705,c_75]) ).
tcf(c_886,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))) = join(zero,iPr_def_10),
inference(superposition,[status(thm)],[c_705,c_368]) ).
tcf(c_888,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_874,c_50,c_49]) ).
tcf(c_889,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(zero),complement(join(iPr_def_11,iPr_def_11)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_888,c_107]) ).
tcf(c_890,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))) = join(iPr_def_10,zero),
inference(theory_normalisation,[status(thm)],[c_886,c_50,c_49]) ).
tcf(c_893,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_883,c_50,c_49]) ).
tcf(c_894,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_893,c_192]) ).
tcf(c_895,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))),complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_877,c_50,c_49]) ).
tcf(c_896,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))),complement(join(iPr_def_11,complement(complement(join(complement(zero),complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_895,c_107]) ).
tcf(c_897,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_885,c_192]) ).
tcf(c_898,plain,
join(complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_878,c_50,c_49]) ).
tcf(c_899,plain,
join(complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))),complement(join(iPr_def_11,complement(complement(join(complement(zero),complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_898,c_107]) ).
tcf(c_900,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_884,c_192]) ).
tcf(c_901,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_875,c_50,c_49]) ).
tcf(c_902,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_876,c_50,c_49]) ).
tcf(c_903,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(complement(iPr_def_10)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_882,c_50,c_49]) ).
tcf(c_904,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(light_normalisation,[status(thm)],[c_903,c_192]) ).
tcf(c_906,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_853,c_52,c_448,c_556]) ).
tcf(c_907,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_906]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_906]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_906]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_906,c_50]) ).
tcf(c_911,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_906,c_392]) ).
tcf(c_912,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_911,c_193]) ).
tcf(c_931,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_912,c_52,c_448,c_556]) ).
tcf(c_932,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_931]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_931]) ).
tcf(c_934,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_931]) ).
tcf(c_935,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_931,c_50]) ).
tcf(c_936,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_931,c_392]) ).
tcf(c_937,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_936,c_193]) ).
tcf(c_939,plain,
join(complement(top),complement(join(zero,complement(top)))) = top,
inference(superposition,[status(thm)],[c_59,c_205]) ).
tcf(c_940,plain,
join(complement(join(top,top)),complement(join(zero,complement(zero)))) = zero,
inference(superposition,[status(thm)],[c_409,c_205]) ).
tcf(c_941,plain,
join(complement(join(iPr_def_10,top)),complement(join(zero,complement(iPr_def_11)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_456,c_205]) ).
tcf(c_944,plain,
join(complement(join(top,complement(zero))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_205]) ).
tcf(c_945,plain,
! [X0: $i] : join(complement(join(top,complement(join(complement(X0),complement(X0))))),complement(X0)) = join(complement(X0),complement(X0)),
inference(superposition,[status(thm)],[c_213,c_205]) ).
tcf(c_946,plain,
join(complement(join(top,complement(join(zero,zero)))),complement(top)) = join(zero,zero),
inference(superposition,[status(thm)],[c_230,c_205]) ).
tcf(c_947,plain,
join(complement(join(top,complement(join(iPr_def_11,iPr_def_11)))),complement(iPr_def_10)) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_231,c_205]) ).
tcf(c_948,plain,
join(complement(join(top,complement(composition(converse(iPr_def_10),iPr_def_11)))),complement(top)) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_617,c_205]) ).
tcf(c_949,plain,
join(complement(join(top,complement(join(iPr_def_10,complement(iPr_def_11))))),complement(iPr_def_11)) = join(iPr_def_10,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_637,c_205]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i] : join(complement(join(top,complement(X0))),join(complement(join(zero,complement(X0))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_205,c_50]) ).
tcf(c_953,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(complement(join(complement(join(top,complement(X0))),join(zero,complement(X0)))),complement(complement(X0))))) = join(complement(join(top,complement(X0))),join(zero,complement(X0))),
inference(superposition,[status(thm)],[c_205,c_203]) ).
tcf(c_954,plain,
! [X0: $i] : join(complement(join(complement(join(top,complement(X0))),join(zero,complement(X0)))),complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_205,c_75]) ).
tcf(c_955,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(complement(X0),complement(complement(join(complement(join(top,complement(X0))),complement(complement(join(zero,complement(X0)))))))))) = X0,
inference(superposition,[status(thm)],[c_205,c_203]) ).
tcf(c_957,plain,
join(complement(top),complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_944,c_50,c_49]) ).
tcf(c_958,plain,
join(zero,complement(join(top,top))) = zero,
inference(light_normalisation,[status(thm)],[c_957,c_107,c_409]) ).
tcf(c_962,plain,
join(complement(iPr_def_10),complement(join(top,complement(join(iPr_def_11,iPr_def_11))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_947,c_50,c_49]) ).
tcf(c_963,plain,
join(iPr_def_11,complement(join(iPr_def_10,top))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_962,c_192,c_417]) ).
tcf(c_964,plain,
join(complement(top),complement(join(top,complement(join(zero,zero))))) = join(zero,zero),
inference(theory_normalisation,[status(thm)],[c_946,c_50,c_49]) ).
tcf(c_965,plain,
join(zero,complement(join(top,top))) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_964,c_107,c_411]) ).
tcf(c_966,plain,
join(complement(iPr_def_11),complement(join(top,complement(join(iPr_def_10,complement(iPr_def_11)))))) = join(iPr_def_10,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_949,c_50,c_49]) ).
tcf(c_967,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,top))) = join(iPr_def_10,complement(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_966,c_756]) ).
tcf(c_968,plain,
join(complement(top),complement(join(top,complement(composition(converse(iPr_def_10),iPr_def_11))))) = composition(converse(iPr_def_10),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_948,c_50,c_49]) ).
tcf(c_969,plain,
join(zero,complement(join(top,top))) = composition(converse(iPr_def_10),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_968,c_107,c_747]) ).
tcf(c_970,plain,
! [X0: $i] : join(complement(X0),complement(join(top,complement(join(complement(X0),complement(X0)))))) = join(complement(X0),complement(X0)),
inference(theory_normalisation,[status(thm)],[c_945,c_50,c_49]) ).
tcf(c_971,plain,
! [X0: $i] : join(complement(X0),complement(join(top,X0))) = join(complement(X0),complement(X0)),
inference(light_normalisation,[status(thm)],[c_970,c_410]) ).
tcf(c_972,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,join(complement(X0),complement(join(top,complement(X0))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_954,c_50,c_49]) ).
tcf(c_973,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(complement(complement(X0)),complement(join(zero,join(complement(X0),complement(join(top,complement(X0))))))))) = join(zero,join(complement(X0),complement(join(top,complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_953,c_50,c_49]) ).
tcf(c_974,plain,
! [X0: $i] : join(zero,join(complement(join(top,top)),X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_958,c_50]) ).
tcf(c_975,plain,
join(complement(zero),complement(join(zero,complement(complement(join(top,top)))))) = top,
inference(superposition,[status(thm)],[c_958,c_198]) ).
tcf(c_976,plain,
join(top,complement(join(top,top))) = join(top,zero),
inference(superposition,[status(thm)],[c_958,c_364]) ).
tcf(c_977,plain,
join(complement(join(top,complement(join(top,top)))),complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_958,c_205]) ).
tcf(c_978,plain,
join(complement(join(zero,join(top,top))),complement(zero)) = top,
inference(superposition,[status(thm)],[c_958,c_198]) ).
tcf(c_979,plain,
join(top,complement(join(top,top))) = top,
inference(light_normalisation,[status(thm)],[c_976,c_208]) ).
tcf(c_980,plain,
join(complement(zero),complement(join(top,join(top,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_978,c_50,c_49]) ).
tcf(c_981,plain,
join(complement(zero),complement(join(top,top))) = top,
inference(light_normalisation,[status(thm)],[c_980,c_208]) ).
tcf(c_982,plain,
join(complement(zero),complement(join(top,complement(join(top,top))))) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_977,c_50,c_49]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c_49,c_222]) ).
tcf(c_987,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_50,c_222]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = converse(converse(join(X0,X1))),
inference(superposition,[status(thm)],[c_56,c_222]) ).
tcf(c_989,plain,
! [X0: $i] : join(converse(X0),complement(converse(X0))) = converse(converse(top)),
inference(superposition,[status(thm)],[c_768,c_222]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_931]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_906]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_847]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_839]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_831]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_823]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i] : join(join(X0,converse(X1)),converse(complement(join(converse(X0),X1)))) = converse(top),
inference(superposition,[status(thm)],[c_222,c_768]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_607]) ).
tcf(c_1006,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_222,c_57]) ).
tcf(c_1010,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_222,c_76]) ).
tcf(c_1011,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_222,c_57]) ).
tcf(c_1012,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_222,c_56]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = join(X0,converse(converse(X1))),
inference(superposition,[status(thm)],[c_222,c_221]) ).
tcf(c_1014,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_1013,c_55]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),converse(complement(join(converse(X0),X1))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_999,c_50,c_49]) ).
tcf(c_1021,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_52,c_225]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i] : composition(X0,converse(converse(X1))) = converse(converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_57,c_225]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_931]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_906]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_847]) ).
tcf(c_1030,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_839]) ).
tcf(c_1031,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_831]) ).
tcf(c_1032,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_823]) ).
tcf(c_1033,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(complement(composition(X1,converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_225,c_768]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_607]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i] : join(top,composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_225,c_488]) ).
tcf(c_1038,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_225,c_432]) ).
tcf(c_1041,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_225,c_56]) ).
tcf(c_1043,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_225,c_225]) ).
tcf(c_1045,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_225,c_76]) ).
tcf(c_1046,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_225,c_57]) ).
tcf(c_1047,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_225,c_56]) ).
tcf(c_1048,plain,
! [X0: $i] : join(top,join(complement(join(top,top)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_979,c_50]) ).
tcf(c_1049,plain,
join(complement(top),complement(join(zero,complement(join(top,top))))) = join(top,top),
inference(superposition,[status(thm)],[c_979,c_205]) ).
tcf(c_1050,plain,
join(top,top) = top,
inference(light_normalisation,[status(thm)],[c_1049,c_107,c_617,c_969]) ).
tcf(c_1051,plain,
join(top,complement(top)) = top,
inference(demodulation,[status(thm)],[c_979,c_1050]) ).
tcf(c_1052,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_958,c_1050]) ).
tcf(c_1053,plain,
join(top,complement(zero)) = top,
inference(demodulation,[status(thm)],[c_409,c_1050]) ).
tcf(c_1054,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_1052,c_107]) ).
tcf(c_1057,plain,
! [X0: $i] : join(top,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1050,c_50]) ).
tcf(c_1058,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1054,c_50]) ).
tcf(c_1059,plain,
join(complement(zero),complement(join(zero,complement(zero)))) = top,
inference(superposition,[status(thm)],[c_1054,c_198]) ).
tcf(c_1060,plain,
! [X0: $i] : join(top,join(complement(zero),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1053,c_50]) ).
tcf(c_1061,plain,
join(complement(top),complement(join(zero,complement(zero)))) = zero,
inference(superposition,[status(thm)],[c_1053,c_205]) ).
tcf(c_1062,plain,
join(zero,complement(join(zero,complement(zero)))) = zero,
inference(light_normalisation,[status(thm)],[c_1061,c_107]) ).
tcf(c_1063,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_10,top)),X0)) = join(join(iPr_def_11,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_963,c_50]) ).
tcf(c_1064,plain,
join(top,complement(join(iPr_def_10,top))) = join(iPr_def_10,join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_963,c_365]) ).
tcf(c_1065,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_963,c_248]) ).
tcf(c_1066,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_10,top))),complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_963,c_247]) ).
tcf(c_1067,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_963,c_199]) ).
tcf(c_1068,plain,
join(complement(join(join(iPr_def_10,top),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_10,top),iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_963,c_705]) ).
tcf(c_1069,plain,
join(complement(join(iPr_def_10,complement(join(iPr_def_10,top)))),complement(join(iPr_def_11,iPr_def_11))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_963,c_204]) ).
tcf(c_1071,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_10,top))),complement(complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,join(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_963,c_248]) ).
tcf(c_1072,plain,
join(complement(join(iPr_def_11,join(iPr_def_10,top))),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_963,c_199]) ).
tcf(c_1073,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,top)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1072,c_50,c_49]) ).
tcf(c_1075,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_10,top)),X0)) = join(iPr_def_11,join(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_1063,c_50,c_49]) ).
tcf(c_1076,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,complement(join(iPr_def_10,top))))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_1069,c_50,c_49]) ).
tcf(c_1077,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,top))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1066,c_50,c_49]) ).
tcf(c_1078,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_10,join(iPr_def_11,top)))))) = join(iPr_def_10,join(iPr_def_11,top)),
inference(theory_normalisation,[status(thm)],[c_1071,c_50,c_49]) ).
tcf(c_1079,plain,
join(complement(join(iPr_def_10,join(iPr_def_11,top))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_10,join(iPr_def_11,top))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1068,c_50,c_49]) ).
tcf(c_1080,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),X0)) = join(join(iPr_def_11,top),X0),
inference(superposition,[status(thm)],[c_860,c_50]) ).
tcf(c_1081,plain,
join(top,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_10,join(iPr_def_11,top)),
inference(superposition,[status(thm)],[c_860,c_365]) ).
tcf(c_1082,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_860,c_248]) ).
tcf(c_1083,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),complement(join(iPr_def_11,top)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_860,c_247]) ).
tcf(c_1084,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_860,c_199]) ).
tcf(c_1085,plain,
join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,top))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_860,c_705]) ).
tcf(c_1086,plain,
join(complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))),complement(join(iPr_def_11,top))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),
inference(superposition,[status(thm)],[c_860,c_204]) ).
tcf(c_1088,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),complement(complement(join(iPr_def_11,top)))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),
inference(superposition,[status(thm)],[c_860,c_248]) ).
tcf(c_1089,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),complement(join(iPr_def_11,top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_860,c_199]) ).
tcf(c_1090,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1089,c_50,c_49]) ).
tcf(c_1092,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),X0)) = join(iPr_def_11,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_1080,c_50,c_49]) ).
tcf(c_1093,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1083,c_50,c_49]) ).
tcf(c_1094,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),
inference(theory_normalisation,[status(thm)],[c_1086,c_50,c_49]) ).
tcf(c_1095,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),
inference(theory_normalisation,[status(thm)],[c_1088,c_50,c_49]) ).
tcf(c_1096,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1085,c_50,c_49]) ).
tcf(c_1097,plain,
! [X0: $i] : join(complement(join(iPr_def_11,top)),join(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))),X0)) = join(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))),X0),
inference(superposition,[status(thm)],[c_713,c_50]) ).
tcf(c_1098,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(complement(join(iPr_def_11,top)),join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))),complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))) = join(complement(join(iPr_def_11,top)),join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))),
inference(superposition,[status(thm)],[c_713,c_203]) ).
tcf(c_1099,plain,
join(complement(join(complement(join(iPr_def_11,top)),join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_713,c_75]) ).
tcf(c_1100,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))))))))) = join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))),
inference(superposition,[status(thm)],[c_713,c_203]) ).
tcf(c_1101,plain,
join(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))),complement(join(complement(join(iPr_def_11,top)),complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_713,c_75]) ).
tcf(c_1102,plain,
! [X0: $i] : join(complement(join(iPr_def_11,top)),join(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))),X0)) = join(iPr_def_11,join(zero,join(complement(join(iPr_def_11,top)),X0))),
inference(theory_normalisation,[status(thm)],[c_1097,c_50,c_49]) ).
tcf(c_1103,plain,
join(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))),complement(join(complement(iPr_def_11),join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1099,c_50,c_49]) ).
tcf(c_1104,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))),complement(join(complement(iPr_def_11),join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))))) = join(complement(iPr_def_11),join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))),
inference(theory_normalisation,[status(thm)],[c_1098,c_50,c_49]) ).
tcf(c_1112,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_894]) ).
tcf(c_1113,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))))) = top,
inference(superposition,[status(thm)],[c_209,c_894]) ).
tcf(c_1114,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_894]) ).
tcf(c_1115,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),iPr_def_11),
inference(superposition,[status(thm)],[c_247,c_894]) ).
tcf(c_1116,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_248,c_894]) ).
tcf(c_1117,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(iPr_def_11,zero)),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(iPr_def_11,zero)),iPr_def_11)),complement(complement(top))))))))) = join(join(iPr_def_11,join(iPr_def_11,zero)),iPr_def_11),
inference(superposition,[status(thm)],[c_262,c_894]) ).
tcf(c_1118,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),iPr_def_11)),complement(complement(join(complement(join(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),iPr_def_11)),complement(complement(top))))))))) = join(join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_285,c_894]) ).
tcf(c_1119,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))) = join(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_860,c_894]) ).
tcf(c_1121,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_10,top),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_10,top),iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))) = join(join(iPr_def_10,top),iPr_def_11),
inference(superposition,[status(thm)],[c_963,c_894]) ).
tcf(c_1123,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_894]) ).
tcf(c_1124,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_894,c_50]) ).
tcf(c_1125,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_894,c_365]) ).
tcf(c_1126,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_248]) ).
tcf(c_1127,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_247]) ).
tcf(c_1128,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_199]) ).
tcf(c_1129,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_894]) ).
tcf(c_1130,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_705]) ).
tcf(c_1131,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(X0,iPr_def_11))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_894,c_204]) ).
tcf(c_1133,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(superposition,[status(thm)],[c_894,c_248]) ).
tcf(c_1134,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_199]) ).
tcf(c_1136,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1114,c_50,c_49]) ).
tcf(c_1137,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(zero),complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_1136,c_107]) ).
tcf(c_1140,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_1125,c_454]) ).
tcf(c_1141,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1134,c_50,c_49]) ).
tcf(c_1143,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_1124,c_50,c_49]) ).
tcf(c_1144,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,join(iPr_def_11,top))),complement(complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_10,join(iPr_def_11,top)))))))))) = join(iPr_def_10,join(iPr_def_11,top)),
inference(theory_normalisation,[status(thm)],[c_1121,c_50,c_49]) ).
tcf(c_1145,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1127,c_50,c_49]) ).
tcf(c_1146,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))),complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))))))))))) = join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))),
inference(theory_normalisation,[status(thm)],[c_1117,c_50,c_49]) ).
tcf(c_1147,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero)))),complement(complement(join(complement(zero),complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))))))))))) = join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))),
inference(light_normalisation,[status(thm)],[c_1146,c_107]) ).
tcf(c_1148,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))),complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))))))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_1118,c_50,c_49]) ).
tcf(c_1149,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11)))))),complement(complement(join(complement(zero),complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))))))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(light_normalisation,[status(thm)],[c_1148,c_107]) ).
tcf(c_1150,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_1131,c_50,c_49]) ).
tcf(c_1151,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),
inference(theory_normalisation,[status(thm)],[c_1115,c_50,c_49]) ).
tcf(c_1152,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_1133,c_50,c_49]) ).
tcf(c_1153,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_1116,c_50,c_49]) ).
tcf(c_1154,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1130,c_50,c_49]) ).
tcf(c_1155,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),complement(complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),
inference(theory_normalisation,[status(thm)],[c_1119,c_50,c_49]) ).
tcf(c_1156,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_1129,c_50,c_49]) ).
tcf(c_1164,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_937,c_52,c_448,c_556]) ).
tcf(c_1165,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_1164]) ).
tcf(c_1166,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_1164]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_1164]) ).
tcf(c_1168,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_1164]) ).
tcf(c_1169,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,join(iPr_def_11,iPr_def_11)))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_1164]) ).
tcf(c_1170,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1164,c_50]) ).
tcf(c_1171,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1164,c_392]) ).
tcf(c_1172,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1171,c_193]) ).
tcf(c_1176,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))),X0)) = join(join(iPr_def_11,top),X0),
inference(superposition,[status(thm)],[c_861,c_50]) ).
tcf(c_1177,plain,
join(top,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_10,join(iPr_def_11,top)),
inference(superposition,[status(thm)],[c_861,c_365]) ).
tcf(c_1178,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_861,c_248]) ).
tcf(c_1179,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))),complement(join(iPr_def_11,top)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_861,c_247]) ).
tcf(c_1181,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))) = join(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_861,c_894]) ).
tcf(c_1182,plain,
join(complement(join(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,top))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_861,c_705]) ).
tcf(c_1183,plain,
join(complement(join(iPr_def_10,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))),complement(join(iPr_def_11,top))) = join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),
inference(superposition,[status(thm)],[c_861,c_204]) ).
tcf(c_1185,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))),complement(complement(join(iPr_def_11,top)))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))),
inference(superposition,[status(thm)],[c_861,c_248]) ).
tcf(c_1186,plain,
join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))),complement(join(iPr_def_11,top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_861,c_199]) ).
tcf(c_1187,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1186,c_50,c_49]) ).
tcf(c_1189,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))),X0)) = join(iPr_def_11,join(top,X0)),
inference(theory_normalisation,[status(thm)],[c_1176,c_50,c_49]) ).
tcf(c_1190,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1179,c_50,c_49]) ).
tcf(c_1191,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_10,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))) = join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))),
inference(theory_normalisation,[status(thm)],[c_1183,c_50,c_49]) ).
tcf(c_1192,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))),
inference(theory_normalisation,[status(thm)],[c_1185,c_50,c_49]) ).
tcf(c_1193,plain,
join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1182,c_50,c_49]) ).
tcf(c_1194,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))),complement(complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))),
inference(theory_normalisation,[status(thm)],[c_1181,c_50,c_49]) ).
tcf(c_1201,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))))))) = join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))),
inference(superposition,[status(thm)],[c_192,c_716]) ).
tcf(c_1204,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(join(X0,X1)),complement(join(X0,join(X1,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(X0,X1)),complement(join(X0,join(X1,iPr_def_11))))),
inference(superposition,[status(thm)],[c_50,c_716]) ).
tcf(c_1205,plain,
join(complement(top),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_10),complement(top))))))) = join(iPr_def_11,join(complement(iPr_def_10),complement(top))),
inference(superposition,[status(thm)],[c_209,c_716]) ).
tcf(c_1206,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),X1)) = join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),X1),
inference(superposition,[status(thm)],[c_716,c_50]) ).
tcf(c_1207,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(complement(join(X0,iPr_def_11)),join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))) = join(complement(join(X0,iPr_def_11)),join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_716,c_203]) ).
tcf(c_1208,plain,
! [X0: $i] : join(complement(join(complement(join(X0,iPr_def_11)),join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_716,c_75]) ).
tcf(c_1209,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))))) = join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_716,c_203]) ).
tcf(c_1210,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_716,c_75]) ).
tcf(c_1211,plain,
join(iPr_def_10,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_11,iPr_def_11)))))))) = join(zero,join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_11,iPr_def_11))))),
inference(superposition,[status(thm)],[c_716,c_368]) ).
tcf(c_1212,plain,
join(zero,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(light_normalisation,[status(thm)],[c_1205,c_107,c_192]) ).
tcf(c_1215,plain,
join(iPr_def_10,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_11,iPr_def_11)))))))) = join(iPr_def_11,join(zero,join(complement(iPr_def_11),complement(join(iPr_def_11,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_1211,c_50,c_49]) ).
tcf(c_1216,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),X1)) = join(iPr_def_11,join(complement(X0),join(complement(join(X0,iPr_def_11)),X1))),
inference(theory_normalisation,[status(thm)],[c_1206,c_50,c_49]) ).
tcf(c_1217,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),complement(join(complement(iPr_def_11),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1208,c_50,c_49]) ).
tcf(c_1218,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(complement(iPr_def_11),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))) = join(complement(iPr_def_11),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_1207,c_50,c_49]) ).
tcf(c_1223,plain,
! [X0: $i] : join(zero,join(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero))))),X0)) = join(join(iPr_def_11,join(iPr_def_11,zero)),X0),
inference(superposition,[status(thm)],[c_1212,c_50]) ).
tcf(c_1224,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,zero))),complement(join(zero,complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero))))))))) = top,
inference(superposition,[status(thm)],[c_1212,c_198]) ).
tcf(c_1225,plain,
join(top,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))))) = join(top,join(iPr_def_11,join(iPr_def_11,zero))),
inference(superposition,[status(thm)],[c_1212,c_364]) ).
tcf(c_1226,plain,
join(complement(join(top,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero))))))),complement(join(iPr_def_11,join(iPr_def_11,zero)))) = join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))),
inference(superposition,[status(thm)],[c_1212,c_205]) ).
tcf(c_1227,plain,
join(complement(join(zero,join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))))),complement(join(iPr_def_11,join(iPr_def_11,zero)))) = top,
inference(superposition,[status(thm)],[c_1212,c_198]) ).
tcf(c_1228,plain,
join(top,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))))) = join(iPr_def_11,join(iPr_def_11,join(top,zero))),
inference(theory_normalisation,[status(thm)],[c_1225,c_50,c_49]) ).
tcf(c_1229,plain,
join(top,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))))) = join(iPr_def_11,join(iPr_def_11,top)),
inference(light_normalisation,[status(thm)],[c_1228,c_208]) ).
tcf(c_1230,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,zero))),complement(join(zero,join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero))))))) = top,
inference(theory_normalisation,[status(thm)],[c_1227,c_50,c_49]) ).
tcf(c_1231,plain,
! [X0: $i] : join(zero,join(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero))))),X0)) = join(iPr_def_11,join(iPr_def_11,join(zero,X0))),
inference(theory_normalisation,[status(thm)],[c_1223,c_50,c_49]) ).
tcf(c_1232,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,zero))),complement(join(top,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))))))) = join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero)))),
inference(theory_normalisation,[status(thm)],[c_1226,c_50,c_49]) ).
tcf(c_1240,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(superposition,[status(thm)],[c_49,c_206]) ).
tcf(c_1242,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(complement(complement(complement(X0))),complement(top))))) = top,
inference(superposition,[status(thm)],[c_59,c_206]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_76,c_206]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_203,c_206]) ).
tcf(c_1246,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(complement(join(zero,X0)),join(complement(complement(join(zero,complement(X0)))),complement(top))))) = top,
inference(superposition,[status(thm)],[c_198,c_206]) ).
tcf(c_1247,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(join(iPr_def_11,X0)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_199,c_206]) ).
tcf(c_1248,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(complement(join(iPr_def_10,complement(X0))),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_204,c_206]) ).
tcf(c_1249,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(complement(join(top,complement(X0))),join(complement(complement(join(zero,complement(X0)))),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_205,c_206]) ).
tcf(c_1251,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_233,c_206]) ).
tcf(c_1252,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(iPr_def_11,top)),join(complement(complement(join(iPr_def_11,zero))),complement(iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_237,c_206]) ).
tcf(c_1253,plain,
join(complement(join(iPr_def_10,zero)),complement(join(complement(join(iPr_def_10,zero)),join(complement(complement(join(iPr_def_11,zero))),complement(top))))) = top,
inference(superposition,[status(thm)],[c_518,c_206]) ).
tcf(c_1254,plain,
join(complement(join(iPr_def_10,iPr_def_12)),complement(join(complement(join(iPr_def_10,iPr_def_12)),join(complement(composition(converse(iPr_def_10),iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_12))))))) = complement(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_572,c_206]) ).
tcf(c_1255,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(iPr_def_11,top)),join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))),complement(iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_704,c_206]) ).
tcf(c_1256,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_705,c_206]) ).
tcf(c_1257,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(iPr_def_11,top)),join(complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))) = join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))),
inference(superposition,[status(thm)],[c_713,c_206]) ).
tcf(c_1258,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),join(complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_716,c_206]) ).
tcf(c_1259,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(complement(converse(complement(converse(complement(X0))))),complement(converse(top)))))) = converse(top),
inference(superposition,[status(thm)],[c_768,c_206]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),X2)) = join(join(complement(X0),X1),X2),
inference(superposition,[status(thm)],[c_206,c_50]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),complement(complement(join(complement(X0),X1)))))) = join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),
inference(superposition,[status(thm)],[c_206,c_203]) ).
tcf(c_1264,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_206,c_75]) ).
tcf(c_1265,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_206,c_206]) ).
tcf(c_1266,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))))))))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_206,c_203]) ).
tcf(c_1267,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))))))) = X0,
inference(superposition,[status(thm)],[c_206,c_75]) ).
tcf(c_1268,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(join(iPr_def_11,iPr_def_11)),join(complement(X0),complement(join(complement(join(iPr_def_11,iPr_def_11)),X0)))))) = join(zero,join(complement(join(iPr_def_11,iPr_def_11)),X0)),
inference(superposition,[status(thm)],[c_206,c_368]) ).
tcf(c_1269,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(complement(top),complement(complement(complement(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_1242,c_50,c_49]) ).
tcf(c_1270,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(zero,complement(complement(complement(X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_1269,c_107]) ).
tcf(c_1271,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,join(complement(X0),complement(complement(complement(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_1270,c_50,c_49]) ).
tcf(c_1274,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(complement(converse(top)),complement(converse(complement(converse(complement(X0))))))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_1259,c_50,c_49]) ).
tcf(c_1275,plain,
join(complement(join(iPr_def_10,zero)),complement(join(complement(top),join(complement(join(iPr_def_10,zero)),complement(complement(join(iPr_def_11,zero))))))) = top,
inference(theory_normalisation,[status(thm)],[c_1253,c_50,c_49]) ).
tcf(c_1276,plain,
join(complement(join(iPr_def_10,zero)),complement(join(zero,join(complement(join(iPr_def_10,zero)),complement(complement(join(iPr_def_11,zero))))))) = top,
inference(light_normalisation,[status(thm)],[c_1275,c_107]) ).
tcf(c_1277,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(iPr_def_10),join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1252,c_50,c_49]) ).
tcf(c_1278,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1277,c_192]) ).
tcf(c_1279,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_10),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1251,c_50,c_49]) ).
tcf(c_1280,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1279,c_192]) ).
tcf(c_1281,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(iPr_def_10),join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1247,c_50,c_49]) ).
tcf(c_1283,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(complement(top),join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_1246,c_50,c_49]) ).
tcf(c_1284,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0)))))))) = top,
inference(light_normalisation,[status(thm)],[c_1283,c_107]) ).
tcf(c_1285,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X1),complement(composition(X1,X0)))))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_1244,c_50,c_49]) ).
tcf(c_1286,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_1264,c_50,c_49]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),X2)) = join(complement(X0),join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_1262,c_50,c_49]) ).
tcf(c_1288,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(complement(X0),join(complement(join(top,complement(X0))),complement(complement(join(zero,complement(X0)))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_1249,c_50,c_49]) ).
tcf(c_1289,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(complement(X0),join(complement(join(iPr_def_10,complement(X0))),complement(complement(join(iPr_def_11,complement(X0)))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_1248,c_50,c_49]) ).
tcf(c_1291,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(join(iPr_def_11,iPr_def_11)),join(complement(X0),complement(join(complement(join(iPr_def_11,iPr_def_11)),X0)))))) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_1268,c_368]) ).
tcf(c_1292,plain,
join(complement(join(iPr_def_10,iPr_def_12)),complement(join(complement(join(iPr_def_10,iPr_def_12)),join(complement(complement(join(iPr_def_10,iPr_def_12))),complement(composition(converse(iPr_def_10),iPr_def_11)))))) = complement(join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_1254,c_50,c_49]) ).
tcf(c_1293,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_1265,c_50,c_49]) ).
tcf(c_1295,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(iPr_def_10),join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1255,c_50,c_49]) ).
tcf(c_1297,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_10),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1256,c_50,c_49]) ).
tcf(c_1298,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1297,c_192]) ).
tcf(c_1299,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(join(complement(X0),X1)),complement(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_1245,c_50,c_49]) ).
tcf(c_1300,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))))))) = join(complement(X0),join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),
inference(theory_normalisation,[status(thm)],[c_1263,c_50,c_49]) ).
tcf(c_1301,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(join(iPr_def_11,top)),join(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))),complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))))))) = join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))),
inference(theory_normalisation,[status(thm)],[c_1257,c_50,c_49]) ).
tcf(c_1302,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),complement(complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_1258,c_50,c_49]) ).
tcf(c_1313,plain,
! [X0: $i] : join(top,join(X0,top)) = join(X0,top),
inference(superposition,[status(thm)],[c_49,c_1057]) ).
tcf(c_1322,plain,
join(top,join(iPr_def_10,top)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_456,c_1057]) ).
tcf(c_1325,plain,
join(top,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_768,c_1057]) ).
tcf(c_1327,plain,
join(top,top) = join(top,zero),
inference(superposition,[status(thm)],[c_1057,c_407]) ).
tcf(c_1329,plain,
join(iPr_def_10,join(top,top)) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_1322,c_50,c_49]) ).
tcf(c_1336,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_213,c_1058]) ).
tcf(c_1351,plain,
! [X0: $i] : join(zero,join(composition(converse(iPr_def_10),iPr_def_11),X0)) = X0,
inference(demodulation,[status(thm)],[c_404,c_1336]) ).
tcf(c_1352,plain,
! [X0: $i] : join(complement(X0),complement(join(zero,complement(X0)))) = top,
inference(demodulation,[status(thm)],[c_198,c_1336]) ).
tcf(c_1354,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_205,c_1336]) ).
tcf(c_1355,plain,
! [X0: $i] : complement(join(complement(X0),complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_213,c_1336]) ).
tcf(c_1356,plain,
complement(join(iPr_def_11,iPr_def_11)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_231,c_1336]) ).
tcf(c_1357,plain,
join(complement(join(iPr_def_11,top)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,complement(join(iPr_def_11,top))))))) = join(iPr_def_11,complement(join(iPr_def_11,top))),
inference(demodulation,[status(thm)],[c_713,c_1336]) ).
tcf(c_1358,plain,
join(iPr_def_11,complement(complement(complement(join(iPr_def_11,iPr_def_11))))) = top,
inference(demodulation,[status(thm)],[c_285,c_1336]) ).
tcf(c_1359,plain,
composition(converse(iPr_def_11),complement(iPr_def_12)) = zero,
inference(demodulation,[status(thm)],[c_357,c_1336]) ).
tcf(c_1360,plain,
composition(converse(iPr_def_10),iPr_def_11) = zero,
inference(demodulation,[status(thm)],[c_356,c_1336]) ).
tcf(c_1361,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),X0) = join(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_368,c_1336]) ).
tcf(c_1362,plain,
complement(composition(converse(iPr_def_10),iPr_def_11)) = top,
inference(demodulation,[status(thm)],[c_617,c_1336]) ).
tcf(c_1363,plain,
complement(join(iPr_def_10,complement(iPr_def_11))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_637,c_1336]) ).
tcf(c_1364,plain,
complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_11,zero))))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(demodulation,[status(thm)],[c_1212,c_1336]) ).
tcf(c_1365,plain,
join(complement(join(iPr_def_10,iPr_def_12)),zero) = complement(join(iPr_def_10,iPr_def_12)),
inference(demodulation,[status(thm)],[c_572,c_1360]) ).
tcf(c_1367,plain,
join(zero,complement(join(iPr_def_10,iPr_def_12))) = complement(join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_1365,c_50,c_49]) ).
tcf(c_1369,plain,
join(iPr_def_10,complement(iPr_def_10)) = top,
inference(demodulation,[status(thm)],[c_604,c_1356]) ).
tcf(c_1371,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_1354,c_50,c_49]) ).
tcf(c_1375,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,top))) = join(X0,join(X1,top)),
inference(superposition,[status(thm)],[c_50,c_1313]) ).
tcf(c_1376,plain,
! [X0: $i,X1: $i] : join(top,join(join(X0,top),X1)) = join(join(X0,top),X1),
inference(superposition,[status(thm)],[c_1313,c_50]) ).
tcf(c_1377,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(top,X1))) = join(X0,join(top,X1)),
inference(theory_normalisation,[status(thm)],[c_1376,c_50,c_49]) ).
tcf(c_1380,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_226]) ).
tcf(c_1381,plain,
! [X0: $i,X1: $i] : composition(converse(converse(X0)),X1) = converse(converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_57,c_226]) ).
tcf(c_1382,plain,
! [X0: $i,X1: $i] : composition(converse(composition(one,X0)),X1) = converse(composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_380,c_226]) ).
tcf(c_1389,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_1164]) ).
tcf(c_1390,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_931]) ).
tcf(c_1391,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_906]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_847]) ).
tcf(c_1393,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_839]) ).
tcf(c_1394,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_831]) ).
tcf(c_1395,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_823]) ).
tcf(c_1396,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),X1),converse(complement(composition(converse(X1),X0)))) = converse(top),
inference(superposition,[status(thm)],[c_226,c_768]) ).
tcf(c_1398,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_607]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] : join(top,composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_226,c_488]) ).
tcf(c_1401,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_226,c_432]) ).
tcf(c_1404,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_226,c_56]) ).
tcf(c_1406,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_226,c_225]) ).
tcf(c_1408,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_226,c_76]) ).
tcf(c_1409,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_226,c_57]) ).
tcf(c_1410,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_226,c_56]) ).
tcf(c_1411,plain,
! [X0: $i,X1: $i] : composition(converse(converse(X0)),X1) = composition(X0,converse(converse(X1))),
inference(superposition,[status(thm)],[c_226,c_225]) ).
tcf(c_1412,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1380,c_55]) ).
tcf(c_1413,plain,
! [X0: $i,X1: $i] : composition(X0,converse(converse(X1))) = composition(X0,X1),
inference(light_normalisation,[status(thm)],[c_1411,c_55]) ).
tcf(c_1415,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_1409,c_381]) ).
tcf(c_1429,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_1336,c_49]) ).
tcf(c_1431,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_1336,c_59]) ).
tcf(c_1432,plain,
! [X0: $i] : join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1336,c_222]) ).
tcf(c_1433,plain,
join(complement(iPr_def_11),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11))))))) = join(iPr_def_11,join(complement(zero),complement(iPr_def_11))),
inference(superposition,[status(thm)],[c_1336,c_716]) ).
tcf(c_1434,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_894]) ).
tcf(c_1435,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_705]) ).
tcf(c_1436,plain,
join(top,zero) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1336,c_454]) ).
tcf(c_1437,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(zero)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_233]) ).
tcf(c_1438,plain,
join(iPr_def_10,composition(zero,top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1336,c_401]) ).
tcf(c_1440,plain,
converse(complement(converse(zero))) = converse(top),
inference(superposition,[status(thm)],[c_1336,c_768]) ).
tcf(c_1442,plain,
! [X0: $i] : join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1432,c_55]) ).
tcf(c_1443,plain,
join(iPr_def_10,composition(zero,top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1438,c_193]) ).
tcf(c_1444,plain,
join(complement(iPr_def_11),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero))))))) = join(iPr_def_11,join(complement(iPr_def_11),complement(zero))),
inference(theory_normalisation,[status(thm)],[c_1433,c_50,c_49]) ).
tcf(c_1446,plain,
join(complement(iPr_def_10),complement(join(iPr_def_11,zero))) = top,
inference(demodulation,[status(thm)],[c_518,c_1429]) ).
tcf(c_1447,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(iPr_def_11))))))))))) = join(iPr_def_11,top),
inference(demodulation,[status(thm)],[c_861,c_1429]) ).
tcf(c_1448,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(iPr_def_11))))))))) = join(iPr_def_11,top),
inference(demodulation,[status(thm)],[c_860,c_1429]) ).
tcf(c_1449,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(iPr_def_11)))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_704,c_1429]) ).
tcf(c_1450,plain,
join(complement(join(iPr_def_11,top)),complement(iPr_def_11)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_237,c_1429]) ).
tcf(c_1451,plain,
join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))) = top,
inference(demodulation,[status(thm)],[c_262,c_1429]) ).
tcf(c_1452,plain,
join(iPr_def_11,iPr_def_10) = top,
inference(light_normalisation,[status(thm)],[c_1451,c_1356]) ).
tcf(c_1454,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,top))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1450,c_50,c_49]) ).
tcf(c_1455,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,complement(complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,top)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1449,c_50,c_49]) ).
tcf(c_1456,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,top))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1448,c_50,c_49]) ).
tcf(c_1457,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,top))))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1447,c_50,c_49]) ).
tcf(c_1458,plain,
join(iPr_def_11,complement(join(iPr_def_11,zero))) = top,
inference(light_normalisation,[status(thm)],[c_1446,c_192]) ).
tcf(c_1460,plain,
! [X0: $i] : join(top,complement(join(top,join(complement(X0),complement(join(top,X0)))))) = join(top,X0),
inference(superposition,[status(thm)],[c_1431,c_206]) ).
tcf(c_1461,plain,
join(complement(join(zero,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(top,complement(join(zero,iPr_def_11)))))))) = join(iPr_def_11,join(top,complement(join(zero,iPr_def_11)))),
inference(superposition,[status(thm)],[c_1431,c_716]) ).
tcf(c_1462,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1431,c_894]) ).
tcf(c_1463,plain,
join(complement(join(zero,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1431,c_705]) ).
tcf(c_1464,plain,
! [X0: $i] : join(top,complement(join(complement(join(top,X0)),complement(complement(join(top,complement(X0))))))) = join(top,X0),
inference(superposition,[status(thm)],[c_1431,c_203]) ).
tcf(c_1465,plain,
join(complement(join(iPr_def_10,top)),complement(join(iPr_def_11,top))) = zero,
inference(superposition,[status(thm)],[c_1431,c_204]) ).
tcf(c_1466,plain,
! [X0: $i] : join(top,composition(converse(X0),complement(composition(X0,zero)))) = top,
inference(superposition,[status(thm)],[c_1431,c_76]) ).
tcf(c_1468,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_1431,c_248]) ).
tcf(c_1469,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_1431,c_247]) ).
tcf(c_1472,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(top,complement(X0)))) = zero,
inference(superposition,[status(thm)],[c_1431,c_75]) ).
tcf(c_1473,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(top,complement(join(complement(X0),zero)))))) = join(complement(X0),zero),
inference(superposition,[status(thm)],[c_1431,c_206]) ).
tcf(c_1474,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(complement(X0),zero)),complement(complement(join(complement(X0),top)))))) = join(complement(X0),zero),
inference(superposition,[status(thm)],[c_1431,c_203]) ).
tcf(c_1480,plain,
! [X0: $i] : join(top,complement(join(top,join(complement(X0),complement(X0))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_1460,c_971]) ).
tcf(c_1481,plain,
! [X0: $i] : join(complement(X0),complement(join(top,join(complement(X0),complement(join(zero,complement(X0))))))) = join(zero,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_1473,c_50,c_49]) ).
tcf(c_1482,plain,
! [X0: $i] : join(complement(X0),zero) = join(zero,complement(X0)),
inference(light_normalisation,[status(thm)],[c_1481,c_107,c_1050,c_1352]) ).
tcf(c_1483,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(zero,complement(X0))),complement(complement(join(top,complement(X0))))))) = join(zero,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_1474,c_50,c_49]) ).
tcf(c_1484,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1463,c_50,c_49]) ).
tcf(c_1485,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_1462,c_50,c_49]) ).
tcf(c_1486,plain,
join(complement(join(iPr_def_11,zero)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))))) = join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))),
inference(theory_normalisation,[status(thm)],[c_1461,c_50,c_49]) ).
tcf(c_1499,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1429,c_50]) ).
tcf(c_1502,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,zero)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1429,c_50]) ).
tcf(c_1503,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(complement(zero),complement(complement(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1429,c_206]) ).
tcf(c_1504,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(X0)),complement(complement(join(complement(X0),complement(zero))))))) = complement(X0),
inference(superposition,[status(thm)],[c_1429,c_203]) ).
tcf(c_1505,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(zero)))) = X0,
inference(superposition,[status(thm)],[c_1429,c_75]) ).
tcf(c_1507,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_248]) ).
tcf(c_1508,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_247]) ).
tcf(c_1510,plain,
! [X0: $i] : join(X0,converse(zero)) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1429,c_221]) ).
tcf(c_1513,plain,
! [X0: $i] : join(X0,converse(zero)) = X0,
inference(light_normalisation,[status(thm)],[c_1510,c_55]) ).
tcf(c_1514,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1508,c_50,c_49]) ).
tcf(c_1515,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),top)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1514,c_1431]) ).
tcf(c_1516,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(iPr_def_11))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1515,c_50,c_49]) ).
tcf(c_1517,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,top)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1516,c_456]) ).
tcf(c_1518,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,top)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1517,c_50,c_49]) ).
tcf(c_1519,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(X0),top))) = X0,
inference(light_normalisation,[status(thm)],[c_1505,c_1431]) ).
tcf(c_1521,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,top)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1507,c_1431]) ).
tcf(c_1522,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(top,complement(complement(X0)))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1503,c_1431]) ).
tcf(c_1523,plain,
! [X0: $i] : join(complement(X0),complement(join(top,join(complement(X0),complement(complement(X0)))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_1522,c_50,c_49]) ).
tcf(c_1524,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(X0)),complement(complement(join(complement(X0),top)))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1504,c_1431]) ).
tcf(c_1525,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(X0)),complement(complement(join(top,complement(X0))))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_1524,c_50,c_49]) ).
tcf(c_1526,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_10,join(complement(X0),complement(join(iPr_def_10,X0)))))) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1356,c_206]) ).
tcf(c_1527,plain,
join(complement(join(join(iPr_def_11,iPr_def_11),iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(iPr_def_10,complement(join(join(iPr_def_11,iPr_def_11),iPr_def_11)))))))) = join(iPr_def_11,join(iPr_def_10,complement(join(join(iPr_def_11,iPr_def_11),iPr_def_11)))),
inference(superposition,[status(thm)],[c_1356,c_716]) ).
tcf(c_1528,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,iPr_def_11),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,iPr_def_11),iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))) = join(join(iPr_def_11,iPr_def_11),iPr_def_11),
inference(superposition,[status(thm)],[c_1356,c_894]) ).
tcf(c_1529,plain,
join(complement(join(join(iPr_def_11,iPr_def_11),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,iPr_def_11),iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1356,c_705]) ).
tcf(c_1530,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(join(iPr_def_10,X0)),complement(complement(join(iPr_def_10,complement(X0))))))) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1356,c_203]) ).
tcf(c_1531,plain,
join(complement(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_11,iPr_def_10))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1356,c_204]) ).
tcf(c_1534,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(complement(join(iPr_def_11,iPr_def_10)))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_1356,c_248]) ).
tcf(c_1535,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_1356,c_247]) ).
tcf(c_1536,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1356,c_199]) ).
tcf(c_1537,plain,
join(join(iPr_def_11,iPr_def_11),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_1356,c_59]) ).
tcf(c_1538,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(iPr_def_10,complement(X0)))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1356,c_75]) ).
tcf(c_1539,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(iPr_def_10,complement(join(complement(X0),join(iPr_def_11,iPr_def_11))))))) = join(complement(X0),join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_1356,c_206]) ).
tcf(c_1540,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(complement(X0),join(iPr_def_11,iPr_def_11))),complement(complement(join(complement(X0),iPr_def_10)))))) = join(complement(X0),join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_1356,c_203]) ).
tcf(c_1541,plain,
! [X0: $i] : join(complement(join(complement(X0),join(iPr_def_11,iPr_def_11))),complement(join(complement(X0),iPr_def_10))) = X0,
inference(superposition,[status(thm)],[c_1356,c_75]) ).
tcf(c_1542,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(iPr_def_11))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1356,c_248]) ).
tcf(c_1543,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),iPr_def_10)))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1356,c_247]) ).
tcf(c_1545,plain,
join(iPr_def_10,complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),iPr_def_10)))))) = join(iPr_def_11,join(complement(iPr_def_11),iPr_def_10)),
inference(superposition,[status(thm)],[c_1356,c_716]) ).
tcf(c_1546,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1356,c_894]) ).
tcf(c_1547,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1356,c_705]) ).
tcf(c_1548,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1356,c_233]) ).
tcf(c_1549,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_11)) = top,
inference(theory_normalisation,[status(thm)],[c_1537,c_50,c_49]) ).
tcf(c_1550,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_11))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1543,c_50,c_49]) ).
tcf(c_1551,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1536,c_50,c_49]) ).
tcf(c_1552,plain,
join(zero,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1551,c_107,c_209]) ).
tcf(c_1555,plain,
join(complement(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,iPr_def_11))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1531,c_50,c_49]) ).
tcf(c_1556,plain,
join(complement(join(iPr_def_10,iPr_def_10)),zero) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_1555,c_107,c_209]) ).
tcf(c_1557,plain,
join(zero,complement(join(iPr_def_10,iPr_def_10))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1556,c_50,c_49]) ).
tcf(c_1558,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(iPr_def_11,join(iPr_def_11,complement(X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_1541,c_50,c_49]) ).
tcf(c_1559,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_1535,c_50,c_49]) ).
tcf(c_1560,plain,
join(iPr_def_10,complement(join(complement(iPr_def_11),complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_11))))))) = join(iPr_def_10,join(iPr_def_11,complement(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_1545,c_50,c_49]) ).
tcf(c_1561,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1546,c_50,c_49]) ).
tcf(c_1562,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_1534,c_50,c_49]) ).
tcf(c_1563,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_1562,c_107,c_209,c_1431]) ).
tcf(c_1564,plain,
! [X0: $i] : join(complement(X0),complement(join(iPr_def_10,join(complement(X0),complement(join(iPr_def_11,join(iPr_def_11,complement(X0)))))))) = join(iPr_def_11,join(iPr_def_11,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_1539,c_50,c_49]) ).
tcf(c_1565,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(complement(join(iPr_def_10,complement(X0)))),complement(join(iPr_def_11,join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,join(iPr_def_11,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_1540,c_50,c_49]) ).
tcf(c_1566,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1529,c_50,c_49]) ).
tcf(c_1567,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1566,c_107,c_209,c_1431]) ).
tcf(c_1568,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))))))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_1528,c_50,c_49]) ).
tcf(c_1569,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(complement(join(top,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))))))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_1568,c_107,c_209,c_1431]) ).
tcf(c_1570,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(join(complement(iPr_def_11),complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_1527,c_50,c_49]) ).
tcf(c_1575,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,top),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1443,c_50]) ).
tcf(c_1576,plain,
join(iPr_def_10,composition(composition(zero,top),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1443,c_392]) ).
tcf(c_1577,plain,
join(iPr_def_10,composition(composition(zero,top),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1576,c_193]) ).
tcf(c_1578,plain,
join(iPr_def_10,composition(zero,join(iPr_def_10,iPr_def_12))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1577,c_52,c_448]) ).
tcf(c_1579,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,join(iPr_def_10,iPr_def_12)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1578,c_50]) ).
tcf(c_1580,plain,
join(iPr_def_10,composition(composition(zero,join(iPr_def_10,iPr_def_12)),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1578,c_392]) ).
tcf(c_1581,plain,
join(iPr_def_10,composition(composition(zero,join(iPr_def_10,iPr_def_12)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1580,c_193]) ).
tcf(c_1598,plain,
join(iPr_def_10,composition(zero,composition(top,join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1581,c_52,c_448,c_556]) ).
tcf(c_1599,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1598,c_50]) ).
tcf(c_1600,plain,
join(iPr_def_10,composition(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1598,c_392]) ).
tcf(c_1601,plain,
join(iPr_def_10,composition(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1600,c_193]) ).
tcf(c_1602,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1601,c_52,c_448,c_556]) ).
tcf(c_1603,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1602,c_50]) ).
tcf(c_1604,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1602,c_392]) ).
tcf(c_1605,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1604,c_193]) ).
tcf(c_1606,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1605,c_52,c_448,c_556]) ).
tcf(c_1607,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1606,c_50]) ).
tcf(c_1608,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1606,c_392]) ).
tcf(c_1609,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1608,c_193]) ).
tcf(c_1610,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1609,c_52,c_448,c_556]) ).
tcf(c_1611,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1610,c_50]) ).
tcf(c_1612,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1610,c_392]) ).
tcf(c_1613,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1612,c_193]) ).
tcf(c_1614,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1613,c_52,c_448,c_556]) ).
tcf(c_1615,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1614,c_50]) ).
tcf(c_1616,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1614,c_392]) ).
tcf(c_1617,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1616,c_193]) ).
tcf(c_1619,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(demodulation,[status(thm)],[c_214,c_1336]) ).
tcf(c_1625,plain,
complement(join(zero,complement(complement(zero)))) = top,
inference(superposition,[status(thm)],[c_107,c_1619]) ).
tcf(c_1626,plain,
complement(join(iPr_def_11,complement(complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_1619]) ).
tcf(c_1628,plain,
complement(join(iPr_def_10,complement(complement(iPr_def_10)))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1356,c_1619]) ).
tcf(c_1629,plain,
complement(join(top,complement(complement(top)))) = zero,
inference(superposition,[status(thm)],[c_1431,c_1619]) ).
tcf(c_1630,plain,
! [X0: $i] : join(complement(X0),complement(complement(complement(X0)))) = complement(join(X0,complement(complement(X0)))),
inference(superposition,[status(thm)],[c_1619,c_1619]) ).
tcf(c_1631,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_1619,c_206]) ).
tcf(c_1632,plain,
! [X0: $i] : join(complement(join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(X0,complement(join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11)))))))) = join(iPr_def_11,join(X0,complement(join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11)))),
inference(superposition,[status(thm)],[c_1619,c_716]) ).
tcf(c_1633,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11)),complement(complement(join(complement(join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11),
inference(superposition,[status(thm)],[c_1619,c_894]) ).
tcf(c_1634,plain,
! [X0: $i] : join(complement(join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(X0),complement(complement(complement(X0)))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1619,c_705]) ).
tcf(c_1635,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(join(X0,X1)),complement(complement(join(X0,complement(X1))))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_1619,c_203]) ).
tcf(c_1636,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(iPr_def_11,X0))) = join(complement(X0),complement(complement(complement(X0)))),
inference(superposition,[status(thm)],[c_1619,c_204]) ).
tcf(c_1637,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_1619,c_76]) ).
tcf(c_1639,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))),complement(complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,join(complement(X0),complement(complement(complement(X0))))),
inference(superposition,[status(thm)],[c_1619,c_248]) ).
tcf(c_1640,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))))))) = join(iPr_def_11,join(complement(X0),complement(complement(complement(X0))))),
inference(superposition,[status(thm)],[c_1619,c_247]) ).
tcf(c_1641,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1619,c_199]) ).
tcf(c_1642,plain,
! [X0: $i] : join(join(complement(X0),complement(complement(complement(X0)))),X0) = top,
inference(superposition,[status(thm)],[c_1619,c_59]) ).
tcf(c_1643,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = join(complement(X0),complement(complement(complement(X0)))),
inference(superposition,[status(thm)],[c_1619,c_75]) ).
tcf(c_1644,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),join(complement(X1),complement(complement(complement(X1)))))))))) = join(complement(X0),join(complement(X1),complement(complement(complement(X1))))),
inference(superposition,[status(thm)],[c_1619,c_206]) ).
tcf(c_1645,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X0),join(complement(X1),complement(complement(complement(X1)))))),complement(complement(join(complement(X0),X1)))))) = join(complement(X0),join(complement(X1),complement(complement(complement(X1))))),
inference(superposition,[status(thm)],[c_1619,c_203]) ).
tcf(c_1646,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),join(complement(X1),complement(complement(complement(X1)))))),complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_1619,c_75]) ).
tcf(c_1647,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(join(complement(X0),complement(complement(X0)))),complement(X0)))) = join(complement(X0),complement(complement(X0))),
inference(superposition,[status(thm)],[c_1619,c_203]) ).
tcf(c_1648,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(complement(X0)))),X0) = X0,
inference(superposition,[status(thm)],[c_1619,c_75]) ).
tcf(c_1649,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),join(complement(complement(complement(complement(X0)))),X0)))) = join(complement(X0),complement(complement(complement(X0)))),
inference(superposition,[status(thm)],[c_1619,c_206]) ).
tcf(c_1650,plain,
! [X0: $i] : join(complement(X0),complement(join(X0,complement(complement(join(complement(X0),complement(complement(complement(complement(X0)))))))))) = join(complement(X0),complement(complement(complement(X0)))),
inference(superposition,[status(thm)],[c_1619,c_203]) ).
tcf(c_1651,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(complement(complement(complement(X0))))))) = X0,
inference(superposition,[status(thm)],[c_1619,c_75]) ).
tcf(c_1653,plain,
complement(join(zero,zero)) = top,
inference(light_normalisation,[status(thm)],[c_1625,c_107,c_1431]) ).
tcf(c_1654,plain,
join(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1628,c_192,c_1363]) ).
tcf(c_1655,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_1648,c_50,c_49]) ).
tcf(c_1656,plain,
! [X0: $i] : join(X0,join(complement(X0),complement(complement(complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_1642,c_50,c_49]) ).
tcf(c_1657,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1641,c_50,c_49]) ).
tcf(c_1659,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),join(complement(X1),complement(complement(complement(X1))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_1646,c_50,c_49]) ).
tcf(c_1660,plain,
! [X0: $i] : join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),complement(complement(X0))))))) = join(complement(X0),complement(complement(X0))),
inference(theory_normalisation,[status(thm)],[c_1647,c_50,c_49]) ).
tcf(c_1661,plain,
! [X0: $i] : join(complement(X0),complement(join(X0,join(complement(X0),complement(complement(complement(complement(X0)))))))) = join(complement(X0),complement(complement(complement(X0)))),
inference(theory_normalisation,[status(thm)],[c_1649,c_50,c_49]) ).
tcf(c_1662,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0))))))))) = join(iPr_def_11,join(complement(X0),complement(complement(complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_1639,c_50,c_49]) ).
tcf(c_1663,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),join(complement(X1),complement(complement(complement(X1))))))))) = join(complement(X0),join(complement(X1),complement(complement(complement(X1))))),
inference(theory_normalisation,[status(thm)],[c_1645,c_50,c_49]) ).
tcf(c_1664,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1634,c_50,c_49]) ).
tcf(c_1665,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0))))))))))))) = join(iPr_def_11,join(complement(X0),complement(complement(complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_1633,c_50,c_49]) ).
tcf(c_1666,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))))))))) = join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(complement(X0),complement(complement(complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_1632,c_50,c_49]) ).
tcf(c_1667,plain,
! [X0: $i] : complement(complement(join(X0,complement(complement(X0))))) = X0,
inference(demodulation,[status(thm)],[c_1619,c_1630]) ).
tcf(c_1668,plain,
! [X0: $i] : join(complement(complement(X0)),complement(complement(complement(complement(X0))))) = X0,
inference(demodulation,[status(thm)],[c_204,c_1636]) ).
tcf(c_1670,plain,
join(complement(iPr_def_11),complement(complement(complement(iPr_def_11)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_199,c_1643]) ).
tcf(c_1671,plain,
complement(iPr_def_11) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1356,c_1654]) ).
tcf(c_1672,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1164,c_1654]) ).
tcf(c_1673,plain,
join(iPr_def_11,complement(join(iPr_def_10,top))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_963,c_1654]) ).
tcf(c_1674,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_931,c_1654]) ).
tcf(c_1675,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_906,c_1654]) ).
tcf(c_1676,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_847,c_1654]) ).
tcf(c_1677,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_839,c_1654]) ).
tcf(c_1678,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),join(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_831,c_1654]) ).
tcf(c_1679,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_823,c_1654]) ).
tcf(c_1680,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,iPr_def_11)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_607,c_1654]) ).
tcf(c_1681,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),
inference(demodulation,[status(thm)],[c_716,c_1671]) ).
tcf(c_1687,plain,
! [X0: $i,X1: $i] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(superposition,[status(thm)],[c_1412,c_54]) ).
tcf(c_1689,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_1412,c_53]) ).
tcf(c_1690,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(one)),X1) = join(composition(X0,X1),X1),
inference(superposition,[status(thm)],[c_1412,c_54]) ).
tcf(c_1691,plain,
! [X0: $i] : converse(composition(X0,one)) = converse(X0),
inference(superposition,[status(thm)],[c_1412,c_57]) ).
tcf(c_1692,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1412,c_76]) ).
tcf(c_1693,plain,
! [X0: $i] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1412,c_76]) ).
tcf(c_1694,plain,
! [X0: $i] : composition(X0,converse(converse(one))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1412,c_225]) ).
tcf(c_1695,plain,
! [X0: $i] : composition(converse(X0),one) = converse(X0),
inference(superposition,[status(thm)],[c_1412,c_226]) ).
tcf(c_1696,plain,
join(top,composition(converse(converse(one)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1412,c_466]) ).
tcf(c_1697,plain,
join(iPr_def_11,composition(converse(converse(one)),complement(iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1412,c_349]) ).
tcf(c_1698,plain,
join(top,complement(composition(one,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1412,c_466]) ).
tcf(c_1699,plain,
join(iPr_def_11,complement(composition(one,iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1412,c_349]) ).
tcf(c_1700,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1412,c_380]) ).
tcf(c_1701,plain,
join(top,composition(one,complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1412,c_488]) ).
tcf(c_1702,plain,
join(iPr_def_11,composition(one,complement(iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1412,c_432]) ).
tcf(c_1703,plain,
join(top,complement(composition(converse(converse(one)),iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1412,c_488]) ).
tcf(c_1704,plain,
join(iPr_def_11,complement(composition(converse(converse(one)),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1412,c_432]) ).
tcf(c_1706,plain,
join(iPr_def_11,composition(one,iPr_def_11)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1702,c_192]) ).
tcf(c_1707,plain,
join(top,composition(one,iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_1701,c_192]) ).
tcf(c_1708,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1700,c_1412]) ).
tcf(c_1709,plain,
! [X0: $i] : composition(X0,converse(converse(one))) = X0,
inference(light_normalisation,[status(thm)],[c_1694,c_55]) ).
tcf(c_1710,plain,
join(iPr_def_11,composition(converse(converse(one)),iPr_def_11)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1697,c_192]) ).
tcf(c_1711,plain,
join(top,composition(converse(converse(one)),iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_1696,c_192]) ).
tcf(c_1712,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(one)),X1) = join(X1,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_1690,c_50,c_49]) ).
tcf(c_1716,plain,
join(one,converse(complement(one))) = converse(top),
inference(superposition,[status(thm)],[c_1689,c_768]) ).
tcf(c_1718,plain,
join(top,composition(one,complement(composition(one,iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1689,c_488]) ).
tcf(c_1720,plain,
join(iPr_def_11,composition(one,complement(composition(one,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1689,c_432]) ).
tcf(c_1723,plain,
! [X0: $i] : join(one,converse(X0)) = converse(join(one,X0)),
inference(superposition,[status(thm)],[c_1689,c_56]) ).
tcf(c_1724,plain,
! [X0: $i] : composition(one,converse(X0)) = converse(composition(X0,one)),
inference(superposition,[status(thm)],[c_1689,c_225]) ).
tcf(c_1726,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1689,c_76]) ).
tcf(c_1727,plain,
! [X0: $i] : composition(converse(X0),one) = converse(composition(one,X0)),
inference(superposition,[status(thm)],[c_1689,c_57]) ).
tcf(c_1728,plain,
! [X0: $i] : join(converse(X0),one) = converse(join(X0,one)),
inference(superposition,[status(thm)],[c_1689,c_56]) ).
tcf(c_1729,plain,
! [X0: $i] : join(one,converse(X0)) = converse(join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_1728,c_50,c_49]) ).
tcf(c_1732,plain,
! [X0: $i] : composition(one,converse(X0)) = converse(X0),
inference(light_normalisation,[status(thm)],[c_1724,c_53]) ).
tcf(c_1733,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1726,c_1708]) ).
tcf(c_1735,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_894]) ).
tcf(c_1736,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1671,c_705]) ).
tcf(c_1738,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_1671,c_233]) ).
tcf(c_1740,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_1738,c_50,c_49]) ).
tcf(c_1741,plain,
join(zero,iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1740,c_107,c_209,c_1654,c_1671]) ).
tcf(c_1742,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1736,c_50,c_49]) ).
tcf(c_1743,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1742,c_107,c_209,c_1431,c_1654,c_1671]) ).
tcf(c_1744,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1735,c_50,c_49]) ).
tcf(c_1745,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_10,top))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1744,c_107,c_209,c_1431,c_1654,c_1671]) ).
tcf(c_1746,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,top))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1745,c_50,c_49]) ).
tcf(c_1747,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1654,c_50]) ).
tcf(c_1749,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_894]) ).
tcf(c_1750,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1654,c_705]) ).
tcf(c_1751,plain,
join(top,iPr_def_11) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1654,c_454]) ).
tcf(c_1752,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1654,c_233]) ).
tcf(c_1753,plain,
join(iPr_def_10,iPr_def_11) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_1751,c_50,c_49]) ).
tcf(c_1754,plain,
join(iPr_def_11,top) = top,
inference(light_normalisation,[status(thm)],[c_1753,c_209]) ).
tcf(c_1757,plain,
join(iPr_def_10,complement(join(iPr_def_11,iPr_def_10))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1752,c_1671]) ).
tcf(c_1758,plain,
join(iPr_def_10,complement(join(iPr_def_10,iPr_def_11))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1757,c_50,c_49]) ).
tcf(c_1759,plain,
join(iPr_def_10,zero) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1758,c_107,c_209]) ).
tcf(c_1760,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1750,c_1671]) ).
tcf(c_1761,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1760,c_50,c_49]) ).
tcf(c_1763,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1749,c_1671]) ).
tcf(c_1764,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11)))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1763,c_50,c_49]) ).
tcf(c_1767,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_1708,c_54]) ).
tcf(c_1769,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),X1) = composition(join(X0,one),X1),
inference(superposition,[status(thm)],[c_1708,c_54]) ).
tcf(c_1770,plain,
! [X0: $i] : join(complement(X0),composition(converse(one),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1708,c_76]) ).
tcf(c_1771,plain,
! [X0: $i] : composition(X0,converse(one)) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1708,c_225]) ).
tcf(c_1772,plain,
join(top,composition(converse(one),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1708,c_466]) ).
tcf(c_1773,plain,
join(iPr_def_11,composition(converse(one),complement(iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_349]) ).
tcf(c_1774,plain,
join(top,complement(composition(converse(one),iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1708,c_488]) ).
tcf(c_1775,plain,
join(iPr_def_11,complement(composition(converse(one),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_432]) ).
tcf(c_1782,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(X1,one),X0),
inference(theory_normalisation,[status(thm)],[c_1769,c_50,c_49]) ).
tcf(c_1783,plain,
! [X0: $i] : join(iPr_def_11,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1754,c_50]) ).
tcf(c_1784,plain,
join(top,top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1754,c_365]) ).
tcf(c_1786,plain,
join(iPr_def_10,top) = top,
inference(light_normalisation,[status(thm)],[c_1784,c_1050]) ).
tcf(c_1790,plain,
join(zero,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,zero))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1278,c_107,c_1754]) ).
tcf(c_1800,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_1280]) ).
tcf(c_1801,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_1280]) ).
tcf(c_1802,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_1280]) ).
tcf(c_1803,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1654,c_1280]) ).
tcf(c_1804,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_1280]) ).
tcf(c_1805,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_1280]) ).
tcf(c_1807,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_1280]) ).
tcf(c_1808,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1671,c_1280]) ).
tcf(c_1809,plain,
join(complement(join(zero,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1431,c_1280]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1280,c_50]) ).
tcf(c_1811,plain,
join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1803,c_1671]) ).
tcf(c_1812,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1811,c_50,c_49]) ).
tcf(c_1814,plain,
join(zero,complement(join(iPr_def_11,join(zero,iPr_def_11)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1802,c_107,c_192,c_1654,c_1671]) ).
tcf(c_1815,plain,
join(zero,complement(join(iPr_def_11,join(iPr_def_11,zero)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1814,c_50,c_49]) ).
tcf(c_1817,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1804,c_50,c_49]) ).
tcf(c_1818,plain,
join(iPr_def_10,complement(join(iPr_def_11,join(top,iPr_def_10)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1817,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_1819,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,top)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1818,c_50,c_49]) ).
tcf(c_1821,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1809,c_50,c_49]) ).
tcf(c_1822,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1821,c_107,c_1431,c_1754]) ).
tcf(c_1823,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1822,c_50,c_49]) ).
tcf(c_1824,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1808,c_50,c_49]) ).
tcf(c_1830,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1805,c_50,c_49]) ).
tcf(c_1831,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1617,c_52,c_448,c_556]) ).
tcf(c_1832,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1831,c_50]) ).
tcf(c_1833,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1831,c_392]) ).
tcf(c_1834,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1833,c_193]) ).
tcf(c_1835,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_49,c_217]) ).
tcf(c_1841,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(zero),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_1429,c_217]) ).
tcf(c_1844,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,iPr_def_11))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1280,c_217]) ).
tcf(c_1851,plain,
! [X0: $i] : join(complement(join(complement(complement(X0)),X0)),complement(top)) = complement(X0),
inference(superposition,[status(thm)],[c_59,c_217]) ).
tcf(c_1853,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,complement(X0))),join(X0,iPr_def_11))),complement(iPr_def_10)) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_233,c_217]) ).
tcf(c_1854,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(X0,iPr_def_11))),complement(iPr_def_10)) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_705,c_217]) ).
tcf(c_1855,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),join(X0,iPr_def_11))),complement(iPr_def_10)) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1280,c_217]) ).
tcf(c_1862,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(complement(X0),iPr_def_10))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1671,c_217]) ).
tcf(c_1864,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_217,c_50]) ).
tcf(c_1866,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_217,c_217]) ).
tcf(c_1868,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(iPr_def_10,complement(X0)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1862,c_50,c_49]) ).
tcf(c_1872,plain,
! [X0: $i] : join(complement(top),complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_1851,c_50,c_49]) ).
tcf(c_1873,plain,
! [X0: $i] : join(zero,complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1872,c_107]) ).
tcf(c_1887,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_1853,c_50,c_49]) ).
tcf(c_1888,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_1887,c_192]) ).
tcf(c_1892,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_1866,c_50,c_49]) ).
tcf(c_1896,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1844,c_50,c_49]) ).
tcf(c_1897,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_1896,c_192]) ).
tcf(c_1900,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_1855,c_50,c_49]) ).
tcf(c_1901,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(light_normalisation,[status(thm)],[c_1900,c_192]) ).
tcf(c_1902,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_1854,c_50,c_49]) ).
tcf(c_1903,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(light_normalisation,[status(thm)],[c_1902,c_192]) ).
tcf(c_1913,plain,
join(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1670,c_192,c_1671]) ).
tcf(c_1914,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1913,c_50]) ).
tcf(c_1915,plain,
join(iPr_def_10,composition(iPr_def_10,top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1913,c_392]) ).
tcf(c_1918,plain,
! [X0: $i] : join(iPr_def_10,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1786,c_50]) ).
tcf(c_1919,plain,
join(iPr_def_10,composition(top,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_1786,c_392]) ).
tcf(c_1921,plain,
join(iPr_def_10,join(iPr_def_10,iPr_def_12)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_1919,c_448]) ).
tcf(c_1922,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_1360,c_54]) ).
tcf(c_1923,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_1360,c_52]) ).
tcf(c_1924,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_1360,c_54]) ).
tcf(c_1925,plain,
join(complement(iPr_def_11),composition(converse(converse(iPr_def_10)),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_1360,c_76]) ).
tcf(c_1926,plain,
composition(converse(iPr_def_11),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_1360,c_226]) ).
tcf(c_1927,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1925,c_1431,c_1671]) ).
tcf(c_1928,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_1924,c_50,c_49]) ).
tcf(c_1939,plain,
! [X0: $i] : converse(join(zero,X0)) = converse(X0),
inference(superposition,[status(thm)],[c_1442,c_56]) ).
tcf(c_1940,plain,
complement(converse(zero)) = top,
inference(superposition,[status(thm)],[c_1442,c_59]) ).
tcf(c_1941,plain,
! [X0: $i] : join(converse(converse(zero)),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1442,c_222]) ).
tcf(c_1942,plain,
! [X0: $i] : join(zero,converse(X0)) = converse(X0),
inference(superposition,[status(thm)],[c_1442,c_221]) ).
tcf(c_1943,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(converse(zero))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1442,c_1280]) ).
tcf(c_1944,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(converse(zero)))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1442,c_894]) ).
tcf(c_1945,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(converse(zero))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1442,c_705]) ).
tcf(c_1946,plain,
join(top,converse(zero)) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1442,c_454]) ).
tcf(c_1947,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(converse(zero))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1442,c_233]) ).
tcf(c_1948,plain,
join(iPr_def_10,composition(converse(zero),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1442,c_401]) ).
tcf(c_1950,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_1442,c_1429]) ).
tcf(c_1951,plain,
converse(complement(converse(converse(zero)))) = converse(top),
inference(superposition,[status(thm)],[c_1442,c_768]) ).
tcf(c_1953,plain,
join(top,converse(zero)) = top,
inference(light_normalisation,[status(thm)],[c_1946,c_209]) ).
tcf(c_1954,plain,
! [X0: $i] : join(converse(converse(zero)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1941,c_55]) ).
tcf(c_1955,plain,
join(iPr_def_10,composition(converse(zero),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1948,c_193]) ).
tcf(c_1956,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(converse(zero))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1947,c_1671]) ).
tcf(c_1957,plain,
join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,complement(converse(zero))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1943,c_1671]) ).
tcf(c_1958,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_11,complement(converse(zero))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1957,c_50,c_49]) ).
tcf(c_1959,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(converse(zero))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1945,c_1671]) ).
tcf(c_1960,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(converse(zero)))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1944,c_1671]) ).
tcf(c_1961,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(converse(zero)))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1960,c_50,c_49]) ).
tcf(c_1964,plain,
join(zero,converse(complement(zero))) = converse(top),
inference(superposition,[status(thm)],[c_1950,c_768]) ).
tcf(c_1966,plain,
join(top,composition(zero,complement(composition(zero,iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1950,c_488]) ).
tcf(c_1968,plain,
join(iPr_def_11,composition(zero,complement(composition(zero,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1950,c_432]) ).
tcf(c_1971,plain,
! [X0: $i] : join(zero,converse(X0)) = converse(join(zero,X0)),
inference(superposition,[status(thm)],[c_1950,c_56]) ).
tcf(c_1972,plain,
! [X0: $i] : composition(zero,converse(X0)) = converse(composition(X0,zero)),
inference(superposition,[status(thm)],[c_1950,c_225]) ).
tcf(c_1974,plain,
! [X0: $i] : join(complement(X0),composition(zero,complement(composition(zero,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1950,c_76]) ).
tcf(c_1975,plain,
! [X0: $i] : composition(converse(X0),zero) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_1950,c_57]) ).
tcf(c_1976,plain,
! [X0: $i] : join(converse(X0),zero) = converse(join(X0,zero)),
inference(superposition,[status(thm)],[c_1950,c_56]) ).
tcf(c_1977,plain,
join(zero,converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_1964,c_1431]) ).
tcf(c_1978,plain,
! [X0: $i] : join(zero,converse(X0)) = converse(join(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_1976,c_50,c_49]) ).
tcf(c_1991,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,X1))))))))) = join(iPr_def_11,complement(join(X0,X1))),
inference(superposition,[status(thm)],[c_50,c_1888]) ).
tcf(c_1992,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(zero)))))) = join(iPr_def_11,complement(zero)),
inference(superposition,[status(thm)],[c_1336,c_1888]) ).
tcf(c_1993,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(iPr_def_10)))))) = join(iPr_def_11,complement(iPr_def_10)),
inference(superposition,[status(thm)],[c_365,c_1888]) ).
tcf(c_1994,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(top))))) = top,
inference(superposition,[status(thm)],[c_59,c_1888]) ).
tcf(c_1995,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_1888]) ).
tcf(c_1998,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_1888]) ).
tcf(c_2000,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,top)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_1431,c_1888]) ).
tcf(c_2001,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),X1)) = join(join(iPr_def_11,complement(X0)),X1),
inference(superposition,[status(thm)],[c_1888,c_50]) ).
tcf(c_2002,plain,
! [X0: $i] : join(top,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_10,join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_1888,c_365]) ).
tcf(c_2003,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_1888,c_1888]) ).
tcf(c_2004,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_1280]) ).
tcf(c_2005,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1888,c_894]) ).
tcf(c_2006,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_705]) ).
tcf(c_2007,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_233]) ).
tcf(c_2009,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_2000,c_50,c_49]) ).
tcf(c_2010,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_2009,c_107,c_1754]) ).
tcf(c_2013,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1998,c_1654,c_1671]) ).
tcf(c_2014,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_2013,c_50,c_49]) ).
tcf(c_2015,plain,
join(iPr_def_11,zero) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2014,c_107,c_209,c_1786]) ).
tcf(c_2017,plain,
join(iPr_def_11,complement(join(top,iPr_def_10))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1993,c_192,c_1654,c_1671]) ).
tcf(c_2021,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2007,c_50,c_49]) ).
tcf(c_2022,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),X1)) = join(iPr_def_11,join(complement(X0),X1)),
inference(theory_normalisation,[status(thm)],[c_2001,c_50,c_49]) ).
tcf(c_2023,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2003,c_50,c_49]) ).
tcf(c_2025,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1995,c_50,c_49]) ).
tcf(c_2026,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2004,c_50,c_49]) ).
tcf(c_2027,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2006,c_50,c_49]) ).
tcf(c_2028,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_2005,c_50,c_49]) ).
tcf(c_2029,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1834,c_52,c_448,c_556]) ).
tcf(c_2030,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2029,c_50]) ).
tcf(c_2031,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2029,c_392]) ).
tcf(c_2032,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2031,c_193]) ).
tcf(c_2033,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2032,c_52,c_448,c_556]) ).
tcf(c_2034,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2033,c_50]) ).
tcf(c_2035,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2033,c_392]) ).
tcf(c_2036,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2035,c_193]) ).
tcf(c_2044,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,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_49,c_1897]) ).
tcf(c_2046,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_1897]) ).
tcf(c_2047,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_1897]) ).
tcf(c_2048,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))))) = top,
inference(superposition,[status(thm)],[c_209,c_1897]) ).
tcf(c_2049,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_1897]) ).
tcf(c_2050,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_1897]) ).
tcf(c_2051,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_1897]) ).
tcf(c_2052,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1888,c_1897]) ).
tcf(c_2054,plain,
join(iPr_def_11,complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero)))))))))) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_107,c_1897]) ).
tcf(c_2055,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_1897]) ).
tcf(c_2056,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_1897]) ).
tcf(c_2057,plain,
join(iPr_def_11,complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1431,c_1897]) ).
tcf(c_2058,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_1897,c_50]) ).
tcf(c_2059,plain,
! [X0: $i] : join(top,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_1897,c_365]) ).
tcf(c_2060,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_1897]) ).
tcf(c_2061,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_1888]) ).
tcf(c_2062,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1897,c_1280]) ).
tcf(c_2063,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_894]) ).
tcf(c_2064,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1897,c_705]) ).
tcf(c_2065,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1897,c_233]) ).
tcf(c_2066,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2049,c_1671]) ).
tcf(c_2067,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11)))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_2066,c_50,c_49]) ).
tcf(c_2069,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,join(zero,iPr_def_11))))))) = top,
inference(light_normalisation,[status(thm)],[c_2048,c_107,c_192,c_1654,c_1671]) ).
tcf(c_2070,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,join(iPr_def_11,zero))))))) = top,
inference(theory_normalisation,[status(thm)],[c_2069,c_50,c_49]) ).
tcf(c_2072,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2050,c_50,c_49]) ).
tcf(c_2073,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,join(top,iPr_def_10))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2072,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_2074,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,join(iPr_def_11,top))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_2073,c_50,c_49]) ).
tcf(c_2076,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2057,c_50,c_49]) ).
tcf(c_2077,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_2076,c_107,c_1431,c_1754]) ).
tcf(c_2078,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2077,c_50,c_49]) ).
tcf(c_2079,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2056,c_50,c_49]) ).
tcf(c_2083,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_2054,c_50,c_49]) ).
tcf(c_2084,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,zero)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_2083,c_107,c_1754]) ).
tcf(c_2085,plain,
! [X0: $i] : join(top,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_2059,c_454]) ).
tcf(c_2086,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2065,c_50,c_49]) ).
tcf(c_2087,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_2058,c_50,c_49]) ).
tcf(c_2088,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2061,c_50,c_49]) ).
tcf(c_2089,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_2052,c_50,c_49]) ).
tcf(c_2090,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2062,c_50,c_49]) ).
tcf(c_2091,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2064,c_50,c_49]) ).
tcf(c_2092,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2063,c_50,c_49]) ).
tcf(c_2093,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2060,c_50,c_49]) ).
tcf(c_2095,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2051,c_50,c_49]) ).
tcf(c_2101,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2036,c_52,c_448,c_556]) ).
tcf(c_2102,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2101,c_50]) ).
tcf(c_2103,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2101,c_392]) ).
tcf(c_2104,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2103,c_193]) ).
tcf(c_2116,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_897]) ).
tcf(c_2117,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_897]) ).
tcf(c_2118,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))))))) = top,
inference(superposition,[status(thm)],[c_209,c_897]) ).
tcf(c_2119,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_897]) ).
tcf(c_2120,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_897]) ).
tcf(c_2121,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_897]) ).
tcf(c_2123,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1888,c_897]) ).
tcf(c_2124,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_897]) ).
tcf(c_2125,plain,
join(iPr_def_11,complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_107,c_897]) ).
tcf(c_2126,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_897]) ).
tcf(c_2127,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_897]) ).
tcf(c_2128,plain,
join(iPr_def_11,complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1431,c_897]) ).
tcf(c_2129,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_897,c_50]) ).
tcf(c_2130,plain,
! [X0: $i] : join(top,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_897,c_365]) ).
tcf(c_2131,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_897]) ).
tcf(c_2132,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_1897]) ).
tcf(c_2133,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_1888]) ).
tcf(c_2134,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_897,c_1280]) ).
tcf(c_2135,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_894]) ).
tcf(c_2136,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_897,c_705]) ).
tcf(c_2138,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2119,c_1671]) ).
tcf(c_2139,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11)))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_2138,c_50,c_49]) ).
tcf(c_2141,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,iPr_def_11))))))))) = top,
inference(light_normalisation,[status(thm)],[c_2118,c_107,c_192,c_1654,c_1671]) ).
tcf(c_2142,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,zero))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_2141,c_50,c_49]) ).
tcf(c_2144,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2120,c_50,c_49]) ).
tcf(c_2145,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2144,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_2146,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_2145,c_50,c_49]) ).
tcf(c_2148,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2128,c_50,c_49]) ).
tcf(c_2149,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top))))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_2148,c_107,c_1431,c_1754]) ).
tcf(c_2150,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2149,c_50,c_49]) ).
tcf(c_2151,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2127,c_50,c_49]) ).
tcf(c_2155,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_2125,c_50,c_49]) ).
tcf(c_2156,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_2155,c_107,c_1754]) ).
tcf(c_2157,plain,
! [X0: $i] : join(top,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_2130,c_454]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_2129,c_50,c_49]) ).
tcf(c_2160,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2133,c_50,c_49]) ).
tcf(c_2161,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_2123,c_50,c_49]) ).
tcf(c_2162,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2134,c_50,c_49]) ).
tcf(c_2163,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2136,c_50,c_49]) ).
tcf(c_2164,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2124,c_50,c_49]) ).
tcf(c_2165,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2121,c_50,c_49]) ).
tcf(c_2166,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_2135,c_50,c_49]) ).
tcf(c_2167,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_2132,c_50,c_49]) ).
tcf(c_2168,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_2131,c_50,c_49]) ).
tcf(c_2173,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_50,c_218]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(join(complement(X1),complement(X0))),complement(complement(join(complement(X0),X1)))))) = join(complement(X1),complement(X0)),
inference(superposition,[status(thm)],[c_217,c_218]) ).
tcf(c_2178,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_233,c_218]) ).
tcf(c_2179,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_705,c_218]) ).
tcf(c_2181,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(iPr_def_11)))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(superposition,[status(thm)],[c_897,c_218]) ).
tcf(c_2182,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1280,c_218]) ).
tcf(c_2183,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),complement(iPr_def_11)))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_1888,c_218]) ).
tcf(c_2184,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(iPr_def_11)))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_1897,c_218]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] : join(complement(join(join(complement(X0),complement(X1)),complement(join(complement(X1),X0)))),complement(X1)) = join(complement(X1),X0),
inference(superposition,[status(thm)],[c_217,c_218]) ).
tcf(c_2196,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),complement(join(X0,iPr_def_11)))),complement(iPr_def_10)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1280,c_218]) ).
tcf(c_2199,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_1671,c_218]) ).
tcf(c_2200,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(top,complement(X0)))) = zero,
inference(superposition,[status(thm)],[c_1431,c_218]) ).
tcf(c_2205,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_218,c_50]) ).
tcf(c_2208,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(complement(X0),complement(X1))),join(X1,complement(X0)))),complement(X0)) = join(complement(X0),complement(X1)),
inference(superposition,[status(thm)],[c_218,c_217]) ).
tcf(c_2209,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_218,c_218]) ).
tcf(c_2220,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_2192,c_50,c_49]) ).
tcf(c_2221,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_2178,c_192]) ).
tcf(c_2222,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X1,join(complement(X0),complement(join(complement(X0),complement(X1))))))) = join(complement(X0),complement(X1)),
inference(theory_normalisation,[status(thm)],[c_2208,c_50,c_49]) ).
tcf(c_2224,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2196,c_50,c_49]) ).
tcf(c_2225,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_2224,c_192]) ).
tcf(c_2228,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(complement(iPr_def_11),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_2183,c_50,c_49]) ).
tcf(c_2229,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_10,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),
inference(light_normalisation,[status(thm)],[c_2228,c_1671]) ).
tcf(c_2230,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_2182,c_50,c_49]) ).
tcf(c_2231,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(light_normalisation,[status(thm)],[c_2230,c_192]) ).
tcf(c_2232,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_2179,c_50,c_49]) ).
tcf(c_2233,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(light_normalisation,[status(thm)],[c_2232,c_192]) ).
tcf(c_2234,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_2184,c_50,c_49]) ).
tcf(c_2235,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(light_normalisation,[status(thm)],[c_2234,c_1671]) ).
tcf(c_2238,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_2181,c_50,c_49]) ).
tcf(c_2239,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(light_normalisation,[status(thm)],[c_2238,c_1671]) ).
tcf(c_2261,plain,
join(one,converse(zero)) = converse(one),
inference(superposition,[status(thm)],[c_1429,c_1723]) ).
tcf(c_2262,plain,
join(one,converse(converse(complement(converse(one))))) = converse(converse(top)),
inference(superposition,[status(thm)],[c_768,c_1723]) ).
tcf(c_2263,plain,
! [X0: $i,X1: $i] : converse(composition(join(one,converse(X0)),X1)) = composition(converse(X1),join(one,X0)),
inference(superposition,[status(thm)],[c_1723,c_226]) ).
tcf(c_2264,plain,
! [X0: $i] : join(join(one,X0),converse(complement(join(one,converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_1723,c_768]) ).
tcf(c_2265,plain,
! [X0: $i,X1: $i] : converse(join(join(one,converse(X0)),X1)) = join(join(one,X0),converse(X1)),
inference(superposition,[status(thm)],[c_1723,c_221]) ).
tcf(c_2266,plain,
! [X0: $i] : join(top,composition(join(one,X0),complement(composition(join(one,converse(X0)),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1723,c_488]) ).
tcf(c_2267,plain,
! [X0: $i] : join(top,composition(join(one,converse(X0)),complement(composition(join(one,X0),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1723,c_466]) ).
tcf(c_2268,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_1723,c_432]) ).
tcf(c_2269,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_1723,c_349]) ).
tcf(c_2270,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(X0)),converse(X1)) = converse(composition(X1,join(one,X0))),
inference(superposition,[status(thm)],[c_1723,c_57]) ).
tcf(c_2271,plain,
! [X0: $i,X1: $i] : join(join(one,converse(X0)),converse(X1)) = converse(join(join(one,X0),X1)),
inference(superposition,[status(thm)],[c_1723,c_56]) ).
tcf(c_2272,plain,
! [X0: $i] : converse(join(one,converse(X0))) = join(one,X0),
inference(superposition,[status(thm)],[c_1723,c_55]) ).
tcf(c_2273,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(one,converse(X1)))) = composition(join(one,X1),converse(X0)),
inference(superposition,[status(thm)],[c_1723,c_225]) ).
tcf(c_2274,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(converse(X0),join(one,X1)),
inference(superposition,[status(thm)],[c_1723,c_222]) ).
tcf(c_2275,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_1723,c_76]) ).
tcf(c_2276,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(one,converse(X1))) = converse(composition(join(one,X1),X0)),
inference(superposition,[status(thm)],[c_1723,c_57]) ).
tcf(c_2277,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(one,converse(X1))) = converse(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_1723,c_56]) ).
tcf(c_2278,plain,
! [X0: $i] : join(one,converse(converse(X0))) = join(converse(one),X0),
inference(superposition,[status(thm)],[c_1723,c_222]) ).
tcf(c_2279,plain,
join(one,zero) = one,
inference(light_normalisation,[status(thm)],[c_2261,c_1689,c_1950]) ).
tcf(c_2281,plain,
join(one,converse(converse(complement(one)))) = converse(converse(top)),
inference(light_normalisation,[status(thm)],[c_2262,c_1689]) ).
tcf(c_2282,plain,
! [X0: $i] : join(one,join(X0,converse(complement(join(one,converse(X0)))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_2264,c_50,c_49]) ).
tcf(c_2283,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = converse(join(X0,join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_2277,c_50,c_49]) ).
tcf(c_2284,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(one,join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_2274,c_50,c_49]) ).
tcf(c_2285,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = converse(join(one,join(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_2271,c_50,c_49]) ).
tcf(c_2286,plain,
! [X0: $i,X1: $i] : converse(join(one,join(converse(X0),X1))) = join(one,join(X0,converse(X1))),
inference(theory_normalisation,[status(thm)],[c_2265,c_50,c_49]) ).
tcf(c_2291,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,X1))) = converse(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_50,c_1729]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i] : converse(composition(join(one,converse(X0)),X1)) = composition(converse(X1),join(X0,one)),
inference(superposition,[status(thm)],[c_1729,c_226]) ).
tcf(c_2294,plain,
! [X0: $i] : join(join(X0,one),converse(complement(join(one,converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_1729,c_768]) ).
tcf(c_2295,plain,
! [X0: $i,X1: $i] : converse(join(join(one,converse(X0)),X1)) = join(join(X0,one),converse(X1)),
inference(superposition,[status(thm)],[c_1729,c_221]) ).
tcf(c_2296,plain,
! [X0: $i] : join(top,composition(join(X0,one),complement(composition(join(one,converse(X0)),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1729,c_488]) ).
tcf(c_2297,plain,
! [X0: $i] : join(top,composition(join(one,converse(X0)),complement(composition(join(X0,one),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1729,c_466]) ).
tcf(c_2298,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_1729,c_432]) ).
tcf(c_2299,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_1729,c_349]) ).
tcf(c_2300,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(X0)),converse(X1)) = converse(composition(X1,join(X0,one))),
inference(superposition,[status(thm)],[c_1729,c_57]) ).
tcf(c_2302,plain,
! [X0: $i] : converse(join(one,converse(X0))) = join(X0,one),
inference(superposition,[status(thm)],[c_1729,c_55]) ).
tcf(c_2303,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(one,converse(X1)))) = composition(join(X1,one),converse(X0)),
inference(superposition,[status(thm)],[c_1729,c_225]) ).
tcf(c_2305,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_1729,c_76]) ).
tcf(c_2306,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(one,converse(X1))) = converse(composition(join(X1,one),X0)),
inference(superposition,[status(thm)],[c_1729,c_57]) ).
tcf(c_2307,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(one,converse(X1))) = converse(join(X0,join(X1,one))),
inference(superposition,[status(thm)],[c_1729,c_56]) ).
tcf(c_2308,plain,
! [X0: $i] : join(one,converse(converse(X0))) = join(X0,converse(one)),
inference(superposition,[status(thm)],[c_1729,c_221]) ).
tcf(c_2309,plain,
! [X0: $i] : join(X0,one) = join(one,X0),
inference(light_normalisation,[status(thm)],[c_2308,c_55,c_1689]) ).
tcf(c_2310,plain,
! [X0: $i] : join(X0,join(one,converse(complement(join(one,converse(X0)))))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_2294,c_50,c_49]) ).
tcf(c_2311,plain,
! [X0: $i,X1: $i] : join(one,join(converse(X0),converse(X1))) = converse(join(X0,join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_2307,c_50,c_49]) ).
tcf(c_2314,plain,
! [X0: $i,X1: $i] : converse(join(one,join(converse(X0),X1))) = join(X0,join(one,converse(X1))),
inference(theory_normalisation,[status(thm)],[c_2295,c_50,c_49]) ).
tcf(c_2322,plain,
join(iPr_def_11,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_768,c_1747]) ).
tcf(c_2326,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_11)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_1747]) ).
tcf(c_2328,plain,
! [X0: $i] : join(top,join(iPr_def_11,X0)) = join(iPr_def_10,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_1747,c_365]) ).
tcf(c_2329,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11)))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_1747,c_1888]) ).
tcf(c_2330,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(iPr_def_11,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_2328,c_50,c_49]) ).
tcf(c_2331,plain,
! [X0: $i] : join(iPr_def_11,join(X0,top)) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_2330,c_365]) ).
tcf(c_2333,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_2329,c_1671]) ).
tcf(c_2334,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2333,c_50,c_49]) ).
tcf(c_2339,plain,
! [X0: $i] : join(top,join(converse(top),X0)) = join(converse(top),X0),
inference(superposition,[status(thm)],[c_1325,c_50]) ).
tcf(c_2340,plain,
join(converse(top),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_1325,c_222]) ).
tcf(c_2341,plain,
join(top,converse(top)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_2340,c_50,c_49]) ).
tcf(c_2342,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_2341,c_1325]) ).
tcf(c_2343,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_2342,c_55]) ).
tcf(c_2345,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_768,c_2343]) ).
tcf(c_2348,plain,
join(top,composition(top,complement(composition(top,iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_2343,c_488]) ).
tcf(c_2350,plain,
join(iPr_def_11,composition(top,complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2343,c_432]) ).
tcf(c_2353,plain,
! [X0: $i] : join(top,converse(X0)) = converse(join(top,X0)),
inference(superposition,[status(thm)],[c_2343,c_56]) ).
tcf(c_2354,plain,
! [X0: $i] : composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_2343,c_225]) ).
tcf(c_2356,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2343,c_76]) ).
tcf(c_2357,plain,
! [X0: $i] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2343,c_57]) ).
tcf(c_2358,plain,
! [X0: $i] : join(converse(X0),top) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_2343,c_56]) ).
tcf(c_2359,plain,
! [X0: $i] : join(top,converse(X0)) = converse(join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_2358,c_50,c_49]) ).
tcf(c_2362,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_59,c_2221]) ).
tcf(c_2363,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_2221]) ).
tcf(c_2364,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_2221]) ).
tcf(c_2365,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_1888,c_2221]) ).
tcf(c_2366,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_2221]) ).
tcf(c_2368,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(top,iPr_def_11)))))) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_107,c_2221]) ).
tcf(c_2369,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_2221]) ).
tcf(c_2371,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(zero,iPr_def_11)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_1431,c_2221]) ).
tcf(c_2372,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_49,c_2221]) ).
tcf(c_2374,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,X1)))),complement(complement(join(X0,join(X1,iPr_def_11))))))) = join(iPr_def_11,complement(join(X0,X1))),
inference(superposition,[status(thm)],[c_50,c_2221]) ).
tcf(c_2375,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(zero))),complement(complement(iPr_def_11))))) = join(iPr_def_11,complement(zero)),
inference(superposition,[status(thm)],[c_1336,c_2221]) ).
tcf(c_2376,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(complement(top))))) = join(iPr_def_11,complement(iPr_def_10)),
inference(superposition,[status(thm)],[c_209,c_2221]) ).
tcf(c_2377,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(complement(iPr_def_11))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_1654,c_2221]) ).
tcf(c_2378,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),X1)) = join(join(iPr_def_11,complement(X0)),X1),
inference(superposition,[status(thm)],[c_2221,c_50]) ).
tcf(c_2379,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,complement(X0))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_2221,c_1747]) ).
tcf(c_2380,plain,
! [X0: $i] : join(top,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_10,join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_2221,c_365]) ).
tcf(c_2381,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_2221,c_2221]) ).
tcf(c_2382,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_2221,c_897]) ).
tcf(c_2383,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_2221,c_1897]) ).
tcf(c_2384,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_2221,c_1888]) ).
tcf(c_2385,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2221,c_1280]) ).
tcf(c_2386,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_2221,c_894]) ).
tcf(c_2387,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2221,c_705]) ).
tcf(c_2388,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2221,c_233]) ).
tcf(c_2389,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),complement(iPr_def_11)))) = join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_2221,c_218]) ).
tcf(c_2390,plain,
join(iPr_def_11,complement(join(zero,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_2362,c_107,c_192,c_1654,c_1671]) ).
tcf(c_2392,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(iPr_def_11)))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_2377,c_50,c_49]) ).
tcf(c_2396,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(iPr_def_10)))))) = join(iPr_def_11,complement(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_2376,c_50,c_49]) ).
tcf(c_2400,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(zero)))))) = join(iPr_def_11,complement(zero)),
inference(theory_normalisation,[status(thm)],[c_2375,c_50,c_49]) ).
tcf(c_2402,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_2371,c_50,c_49]) ).
tcf(c_2403,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_2402,c_107,c_1754]) ).
tcf(c_2408,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2368,c_50,c_49]) ).
tcf(c_2409,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),top))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_2408,c_107,c_1431,c_1754]) ).
tcf(c_2410,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,zero))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2409,c_50,c_49]) ).
tcf(c_2411,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2388,c_50,c_49]) ).
tcf(c_2412,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),X1)) = join(iPr_def_11,join(complement(X0),X1)),
inference(theory_normalisation,[status(thm)],[c_2378,c_50,c_49]) ).
tcf(c_2413,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2384,c_50,c_49]) ).
tcf(c_2414,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2365,c_50,c_49]) ).
tcf(c_2415,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_2381,c_50,c_49]) ).
tcf(c_2417,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(complement(iPr_def_11),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))) = join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_2389,c_50,c_49]) ).
tcf(c_2418,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_10,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))) = join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_2417,c_1671]) ).
tcf(c_2419,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2366,c_50,c_49]) ).
tcf(c_2420,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2363,c_50,c_49]) ).
tcf(c_2421,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2364,c_50,c_49]) ).
tcf(c_2422,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2385,c_50,c_49]) ).
tcf(c_2423,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2387,c_50,c_49]) ).
tcf(c_2424,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_2386,c_50,c_49]) ).
tcf(c_2425,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_2383,c_50,c_49]) ).
tcf(c_2426,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_2382,c_50,c_49]) ).
tcf(c_2458,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),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_49,c_2225]) ).
tcf(c_2460,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_2225]) ).
tcf(c_2461,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_2225]) ).
tcf(c_2462,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))) = top,
inference(superposition,[status(thm)],[c_209,c_2225]) ).
tcf(c_2463,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_2225]) ).
tcf(c_2464,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_2225]) ).
tcf(c_2465,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_2225]) ).
tcf(c_2466,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_2225]) ).
tcf(c_2467,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1888,c_2225]) ).
tcf(c_2468,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_2225]) ).
tcf(c_2469,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_2221,c_2225]) ).
tcf(c_2471,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,iPr_def_11)),join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero)))))))) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_107,c_2225]) ).
tcf(c_2472,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_2225]) ).
tcf(c_2473,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_2225]) ).
tcf(c_2474,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1431,c_2225]) ).
tcf(c_2475,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_2225,c_50]) ).
tcf(c_2477,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_2225,c_365]) ).
tcf(c_2478,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_2225]) ).
tcf(c_2479,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_2221]) ).
tcf(c_2480,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_897]) ).
tcf(c_2481,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_1897]) ).
tcf(c_2482,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_1888]) ).
tcf(c_2483,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2225,c_1280]) ).
tcf(c_2484,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_894]) ).
tcf(c_2485,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2225,c_705]) ).
tcf(c_2486,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2225,c_233]) ).
tcf(c_2487,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(iPr_def_11)))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),
inference(superposition,[status(thm)],[c_2225,c_218]) ).
tcf(c_2488,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2463,c_1671]) ).
tcf(c_2489,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11)))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_2488,c_50,c_49]) ).
tcf(c_2491,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,join(zero,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_2462,c_107,c_192,c_1654,c_1671]) ).
tcf(c_2492,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(zero,zero))))) = top,
inference(theory_normalisation,[status(thm)],[c_2491,c_50,c_49]) ).
tcf(c_2494,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(top)),join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,iPr_def_11))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2464,c_50,c_49]) ).
tcf(c_2495,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2494,c_107,c_1431,c_1654,c_1671,c_1913]) ).
tcf(c_2498,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2474,c_50,c_49]) ).
tcf(c_2499,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),join(complement(join(iPr_def_11,zero)),top))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_2498,c_107,c_1431,c_1754]) ).
tcf(c_2500,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,zero))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_2499,c_50,c_49]) ).
tcf(c_2501,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2473,c_50,c_49]) ).
tcf(c_2505,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_2471,c_50,c_49]) ).
tcf(c_2506,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,join(zero,complement(complement(join(iPr_def_11,zero)))))))) = top,
inference(light_normalisation,[status(thm)],[c_2505,c_107,c_1754]) ).
tcf(c_2507,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_2477,c_454]) ).
tcf(c_2508,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2486,c_50,c_49]) ).
tcf(c_2509,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_2475,c_50,c_49]) ).
tcf(c_2510,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2482,c_50,c_49]) ).
tcf(c_2511,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2479,c_50,c_49]) ).
tcf(c_2512,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),
inference(theory_normalisation,[status(thm)],[c_2487,c_50,c_49]) ).
tcf(c_2513,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),
inference(light_normalisation,[status(thm)],[c_2512,c_1671]) ).
tcf(c_2514,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_2467,c_50,c_49]) ).
tcf(c_2515,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2483,c_50,c_49]) ).
tcf(c_2516,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_2469,c_50,c_49]) ).
tcf(c_2517,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2485,c_50,c_49]) ).
tcf(c_2518,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_2478,c_50,c_49]) ).
tcf(c_2520,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_2484,c_50,c_49]) ).
tcf(c_2521,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_2481,c_50,c_49]) ).
tcf(c_2522,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_2480,c_50,c_49]) ).
tcf(c_2523,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2468,c_50,c_49]) ).
tcf(c_2524,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2465,c_50,c_49]) ).
tcf(c_2525,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_2466,c_50,c_49]) ).
tcf(c_2527,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1172,c_1654]) ).
tcf(c_2528,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2527,c_52,c_448,c_556]) ).
tcf(c_2529,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_2528]) ).
tcf(c_2530,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_2528]) ).
tcf(c_2531,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_2528]) ).
tcf(c_2532,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_2528]) ).
tcf(c_2533,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_2528]) ).
tcf(c_2534,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_2528]) ).
tcf(c_2535,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_2528]) ).
tcf(c_2536,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_2528]) ).
tcf(c_2537,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_2528]) ).
tcf(c_2538,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_2528]) ).
tcf(c_2539,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_2528]) ).
tcf(c_2540,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_2528]) ).
tcf(c_2541,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_2528]) ).
tcf(c_2542,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_2528,c_50]) ).
tcf(c_2543,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2528,c_392]) ).
tcf(c_2544,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2541,c_1671,c_1689]) ).
tcf(c_2545,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2540,c_1431]) ).
tcf(c_2546,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2543,c_193]) ).
tcf(c_2547,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2104,c_52,c_448,c_556]) ).
tcf(c_2548,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2547,c_50]) ).
tcf(c_2549,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2547,c_392]) ).
tcf(c_2550,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2549,c_193]) ).
tcf(c_2552,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2546,c_52,c_448,c_556]) ).
tcf(c_2553,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_2552]) ).
tcf(c_2554,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_2552]) ).
tcf(c_2555,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_2552]) ).
tcf(c_2556,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_2552]) ).
tcf(c_2557,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_2552]) ).
tcf(c_2558,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_2552]) ).
tcf(c_2559,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_2552]) ).
tcf(c_2560,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_2552]) ).
tcf(c_2561,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_2552]) ).
tcf(c_2562,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_2552]) ).
tcf(c_2563,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_2552]) ).
tcf(c_2564,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_2552]) ).
tcf(c_2565,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_2552]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_2552,c_50]) ).
tcf(c_2567,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2552,c_392]) ).
tcf(c_2568,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2565,c_1671,c_1689]) ).
tcf(c_2569,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2564,c_1431]) ).
tcf(c_2570,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2567,c_193]) ).
tcf(c_2571,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2550,c_52,c_448,c_556]) ).
tcf(c_2572,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2571,c_50]) ).
tcf(c_2573,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2571,c_392]) ).
tcf(c_2574,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2573,c_193]) ).
tcf(c_2576,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2570,c_52,c_448,c_556]) ).
tcf(c_2577,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_2576]) ).
tcf(c_2578,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_2576]) ).
tcf(c_2579,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_2576]) ).
tcf(c_2580,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_2576]) ).
tcf(c_2581,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_2576]) ).
tcf(c_2582,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_2576]) ).
tcf(c_2583,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_2576]) ).
tcf(c_2584,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_2576]) ).
tcf(c_2585,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_2576]) ).
tcf(c_2586,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_2576]) ).
tcf(c_2587,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_2576]) ).
tcf(c_2588,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_2576]) ).
tcf(c_2589,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_2576]) ).
tcf(c_2590,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_2576,c_50]) ).
tcf(c_2591,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2576,c_392]) ).
tcf(c_2592,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2589,c_1671,c_1689]) ).
tcf(c_2593,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2588,c_1431]) ).
tcf(c_2594,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2591,c_193]) ).
tcf(c_2624,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(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(superposition,[status(thm)],[c_49,c_1298]) ).
tcf(c_2626,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_1298]) ).
tcf(c_2627,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_1298]) ).
tcf(c_2628,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_1298]) ).
tcf(c_2629,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1654,c_1298]) ).
tcf(c_2630,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_1298]) ).
tcf(c_2631,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_1298]) ).
tcf(c_2632,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_897,c_1298]) ).
tcf(c_2633,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_1298]) ).
tcf(c_2634,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1897,c_1298]) ).
tcf(c_2635,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2221,c_1298]) ).
tcf(c_2636,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2225,c_1298]) ).
tcf(c_2637,plain,
join(complement(join(top,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_107,c_1298]) ).
tcf(c_2638,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_1298]) ).
tcf(c_2639,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1671,c_1298]) ).
tcf(c_2640,plain,
join(complement(join(zero,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1431,c_1298]) ).
tcf(c_2641,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1298,c_50]) ).
tcf(c_2642,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),complement(join(X0,iPr_def_11))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1298,c_217]) ).
tcf(c_2643,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(X0,iPr_def_11)))),complement(iPr_def_10)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1298,c_218]) ).
tcf(c_2644,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),join(X0,iPr_def_11))),complement(iPr_def_10)) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1298,c_217]) ).
tcf(c_2645,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1298,c_218]) ).
tcf(c_2646,plain,
join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2629,c_1671]) ).
tcf(c_2647,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2646,c_50,c_49]) ).
tcf(c_2649,plain,
join(zero,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,iPr_def_11)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2628,c_107,c_192,c_1654,c_1671]) ).
tcf(c_2650,plain,
join(zero,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,zero)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2649,c_50,c_49]) ).
tcf(c_2652,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2630,c_50,c_49]) ).
tcf(c_2653,plain,
join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2652,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_2654,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2653,c_50,c_49]) ).
tcf(c_2656,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2640,c_50,c_49]) ).
tcf(c_2657,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2656,c_107,c_1431,c_1754]) ).
tcf(c_2658,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2657,c_50,c_49]) ).
tcf(c_2659,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2639,c_50,c_49]) ).
tcf(c_2663,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2637,c_50,c_49]) ).
tcf(c_2664,plain,
join(zero,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2663,c_107,c_1754]) ).
tcf(c_2665,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2643,c_50,c_49]) ).
tcf(c_2667,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2642,c_50,c_49]) ).
tcf(c_2669,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2633,c_50,c_49]) ).
tcf(c_2670,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_2644,c_50,c_49]) ).
tcf(c_2671,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(light_normalisation,[status(thm)],[c_2670,c_192]) ).
tcf(c_2672,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_2645,c_50,c_49]) ).
tcf(c_2673,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(light_normalisation,[status(thm)],[c_2672,c_192]) ).
tcf(c_2674,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2635,c_50,c_49]) ).
tcf(c_2675,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2636,c_50,c_49]) ).
tcf(c_2676,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2634,c_50,c_49]) ).
tcf(c_2677,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2631,c_50,c_49]) ).
tcf(c_2678,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2632,c_50,c_49]) ).
tcf(c_2689,plain,
! [X0: $i] : join(iPr_def_11,join(X0,top)) = join(X0,top),
inference(superposition,[status(thm)],[c_1313,c_1783]) ).
tcf(c_2691,plain,
! [X0: $i] : join(top,join(top,X0)) = join(iPr_def_10,join(top,X0)),
inference(superposition,[status(thm)],[c_1783,c_365]) ).
tcf(c_2696,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_10)) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_1914]) ).
tcf(c_2720,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_1914,c_392]) ).
tcf(c_2721,plain,
join(top,iPr_def_10) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1914,c_454]) ).
tcf(c_2722,plain,
join(iPr_def_10,top) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2721,c_50,c_49]) ).
tcf(c_2726,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,composition(X0,top))) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_2720,c_392]) ).
tcf(c_2738,plain,
! [X0: $i] : join(iPr_def_10,join(X0,top)) = join(X0,top),
inference(superposition,[status(thm)],[c_1313,c_1918]) ).
tcf(c_2740,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,X0),top)) = composition(join(top,X0),top),
inference(superposition,[status(thm)],[c_1918,c_392]) ).
tcf(c_2741,plain,
join(top,top) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_1918,c_454]) ).
tcf(c_2742,plain,
join(top,top) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_2741,c_50,c_49]) ).
tcf(c_2749,plain,
composition(converse(one),zero) = converse(zero),
inference(superposition,[status(thm)],[c_53,c_1975]) ).
tcf(c_2750,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_2576]) ).
tcf(c_2751,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_2552]) ).
tcf(c_2752,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_2528]) ).
tcf(c_2753,plain,
! [X0: $i,X1: $i] : converse(composition(composition(converse(X0),zero),X1)) = composition(converse(X1),composition(zero,X0)),
inference(superposition,[status(thm)],[c_1975,c_226]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),zero),X1)) = join(composition(zero,X0),converse(X1)),
inference(superposition,[status(thm)],[c_1975,c_221]) ).
tcf(c_2755,plain,
! [X0: $i] : join(top,composition(composition(zero,X0),complement(composition(composition(converse(X0),zero),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1975,c_488]) ).
tcf(c_2756,plain,
! [X0: $i] : join(top,composition(composition(converse(X0),zero),complement(composition(composition(zero,X0),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_1975,c_466]) ).
tcf(c_2757,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(zero,X0),complement(composition(composition(converse(X0),zero),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1975,c_432]) ).
tcf(c_2758,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_1975,c_349]) ).
tcf(c_2759,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),zero),converse(X1)) = converse(composition(X1,composition(zero,X0))),
inference(superposition,[status(thm)],[c_1975,c_57]) ).
tcf(c_2760,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),zero),converse(X1)) = converse(join(composition(zero,X0),X1)),
inference(superposition,[status(thm)],[c_1975,c_56]) ).
tcf(c_2761,plain,
! [X0: $i] : converse(composition(converse(X0),zero)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_1975,c_55]) ).
tcf(c_2762,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(converse(X1),zero))) = composition(composition(zero,X1),converse(X0)),
inference(superposition,[status(thm)],[c_1975,c_225]) ).
tcf(c_2763,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),zero))) = join(converse(X0),composition(zero,X1)),
inference(superposition,[status(thm)],[c_1975,c_222]) ).
tcf(c_2764,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_1975,c_76]) ).
tcf(c_2765,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(converse(X1),zero)) = converse(composition(composition(zero,X1),X0)),
inference(superposition,[status(thm)],[c_1975,c_57]) ).
tcf(c_2766,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(converse(X1),zero)) = converse(join(X0,composition(zero,X1))),
inference(superposition,[status(thm)],[c_1975,c_56]) ).
tcf(c_2767,plain,
! [X0: $i] : composition(converse(converse(X0)),zero) = composition(X0,converse(zero)),
inference(superposition,[status(thm)],[c_1975,c_225]) ).
tcf(c_2768,plain,
composition(one,zero) = zero,
inference(light_normalisation,[status(thm)],[c_2749,c_1689,c_1950]) ).
tcf(c_2770,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_1359,c_54]) ).
tcf(c_2771,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(complement(iPr_def_12),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_1359,c_52]) ).
tcf(c_2772,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_1359,c_54]) ).
tcf(c_2773,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_1359,c_76]) ).
tcf(c_2774,plain,
composition(converse(complement(iPr_def_12)),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_1359,c_226]) ).
tcf(c_2775,plain,
composition(converse(complement(iPr_def_12)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_2774,c_1950]) ).
tcf(c_2776,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_2773,c_1431]) ).
tcf(c_2777,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_2772,c_50,c_49]) ).
tcf(c_2781,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_862,c_107,c_1754]) ).
tcf(c_2782,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2574,c_52,c_448,c_556]) ).
tcf(c_2783,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2782,c_50]) ).
tcf(c_2785,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2782,c_392]) ).
tcf(c_2786,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2785,c_193]) ).
tcf(c_2788,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2594,c_52,c_448,c_556]) ).
tcf(c_2789,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_2788]) ).
tcf(c_2790,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_2788]) ).
tcf(c_2791,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_2788]) ).
tcf(c_2792,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_2788]) ).
tcf(c_2793,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_2788]) ).
tcf(c_2794,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_2788]) ).
tcf(c_2795,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_2788]) ).
tcf(c_2796,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_2788]) ).
tcf(c_2797,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_2788]) ).
tcf(c_2798,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_2788]) ).
tcf(c_2799,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_2788]) ).
tcf(c_2800,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_2788]) ).
tcf(c_2801,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_2788]) ).
tcf(c_2802,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_2788]) ).
tcf(c_2803,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_2788,c_50]) ).
tcf(c_2805,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2788,c_392]) ).
tcf(c_2806,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2802,c_1671,c_1689]) ).
tcf(c_2807,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2801,c_1431]) ).
tcf(c_2808,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2805,c_193]) ).
tcf(c_2822,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(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_49,c_900]) ).
tcf(c_2824,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_900]) ).
tcf(c_2825,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_900]) ).
tcf(c_2826,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_900]) ).
tcf(c_2827,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1654,c_900]) ).
tcf(c_2828,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_900]) ).
tcf(c_2829,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_900]) ).
tcf(c_2830,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_897,c_900]) ).
tcf(c_2831,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_900]) ).
tcf(c_2832,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1897,c_900]) ).
tcf(c_2833,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2221,c_900]) ).
tcf(c_2834,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2225,c_900]) ).
tcf(c_2836,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_900]) ).
tcf(c_2837,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1671,c_900]) ).
tcf(c_2838,plain,
join(complement(join(zero,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1431,c_900]) ).
tcf(c_2839,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_900,c_50]) ).
tcf(c_2840,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),complement(join(X0,iPr_def_11))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_900,c_217]) ).
tcf(c_2841,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),complement(join(X0,iPr_def_11)))),complement(iPr_def_10)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_900,c_218]) ).
tcf(c_2842,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),join(X0,iPr_def_11))),complement(iPr_def_10)) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_900,c_217]) ).
tcf(c_2843,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),complement(complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_900,c_218]) ).
tcf(c_2844,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2827,c_1671]) ).
tcf(c_2845,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2844,c_50,c_49]) ).
tcf(c_2847,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,iPr_def_11)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2826,c_107,c_192,c_1654,c_1671]) ).
tcf(c_2848,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,zero)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2847,c_50,c_49]) ).
tcf(c_2850,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2828,c_50,c_49]) ).
tcf(c_2851,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2850,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_2852,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2851,c_50,c_49]) ).
tcf(c_2854,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2838,c_50,c_49]) ).
tcf(c_2855,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2854,c_107,c_1431,c_1754]) ).
tcf(c_2856,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2855,c_50,c_49]) ).
tcf(c_2857,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2837,c_50,c_49]) ).
tcf(c_2863,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2841,c_50,c_49]) ).
tcf(c_2864,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_2863,c_192]) ).
tcf(c_2865,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_2840,c_50,c_49]) ).
tcf(c_2866,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_2865,c_192]) ).
tcf(c_2867,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2831,c_50,c_49]) ).
tcf(c_2868,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_2842,c_50,c_49]) ).
tcf(c_2869,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(light_normalisation,[status(thm)],[c_2868,c_192]) ).
tcf(c_2870,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_2843,c_50,c_49]) ).
tcf(c_2871,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(light_normalisation,[status(thm)],[c_2870,c_192]) ).
tcf(c_2872,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2833,c_50,c_49]) ).
tcf(c_2873,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2834,c_50,c_49]) ).
tcf(c_2874,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2832,c_50,c_49]) ).
tcf(c_2875,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2829,c_50,c_49]) ).
tcf(c_2876,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2830,c_50,c_49]) ).
tcf(c_2895,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(zero)))))))))) = join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(zero)))))),
inference(superposition,[status(thm)],[c_1336,c_1901]) ).
tcf(c_2896,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))),
inference(superposition,[status(thm)],[c_365,c_1901]) ).
tcf(c_2897,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1747,c_1901]) ).
tcf(c_2898,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_49,c_1901]) ).
tcf(c_2900,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,X1),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))))) = join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))),
inference(superposition,[status(thm)],[c_50,c_1901]) ).
tcf(c_2901,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))) = join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))),
inference(superposition,[status(thm)],[c_1336,c_1901]) ).
tcf(c_2902,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))))) = join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))),
inference(superposition,[status(thm)],[c_209,c_1901]) ).
tcf(c_2903,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))) = join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1654,c_1901]) ).
tcf(c_2904,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))),
inference(superposition,[status(thm)],[c_59,c_1901]) ).
tcf(c_2905,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_894,c_1901]) ).
tcf(c_2906,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_897,c_1901]) ).
tcf(c_2907,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1888,c_1901]) ).
tcf(c_2908,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_1897,c_1901]) ).
tcf(c_2910,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_2221,c_1901]) ).
tcf(c_2911,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_2225,c_1901]) ).
tcf(c_2912,plain,
join(iPr_def_11,complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero))))),
inference(superposition,[status(thm)],[c_107,c_1901]) ).
tcf(c_2913,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(superposition,[status(thm)],[c_192,c_1901]) ).
tcf(c_2914,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))),
inference(superposition,[status(thm)],[c_1671,c_1901]) ).
tcf(c_2915,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))) = join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))),
inference(superposition,[status(thm)],[c_1431,c_1901]) ).
tcf(c_2916,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),X1)) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),X1),
inference(superposition,[status(thm)],[c_1901,c_50]) ).
tcf(c_2917,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1901,c_1747]) ).
tcf(c_2918,plain,
! [X0: $i] : join(top,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_10,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),
inference(superposition,[status(thm)],[c_1901,c_365]) ).
tcf(c_2919,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(superposition,[status(thm)],[c_1901,c_1901]) ).
tcf(c_2920,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1901,c_900]) ).
tcf(c_2921,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1901,c_1298]) ).
tcf(c_2922,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1901,c_2225]) ).
tcf(c_2923,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1901,c_2221]) ).
tcf(c_2924,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1901,c_897]) ).
tcf(c_2925,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1901,c_1897]) ).
tcf(c_2926,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1901,c_1888]) ).
tcf(c_2927,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1901,c_1280]) ).
tcf(c_2928,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1901,c_894]) ).
tcf(c_2929,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1901,c_705]) ).
tcf(c_2930,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1901,c_233]) ).
tcf(c_2931,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(iPr_def_11)))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_1901,c_218]) ).
tcf(c_2932,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_2904,c_50,c_49]) ).
tcf(c_2933,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(top,iPr_def_10))))))) = join(iPr_def_11,join(top,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_2932,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_2934,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,top))))))) = join(iPr_def_10,join(iPr_def_11,top)),
inference(theory_normalisation,[status(thm)],[c_2933,c_50,c_49]) ).
tcf(c_2936,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))))) = join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_2903,c_1671]) ).
tcf(c_2937,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11)))))))))) = join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_2936,c_50,c_49]) ).
tcf(c_2939,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,join(zero,iPr_def_11))))))) = join(iPr_def_11,join(zero,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_2902,c_107,c_192,c_1654,c_1671]) ).
tcf(c_2940,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,zero))))))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(theory_normalisation,[status(thm)],[c_2939,c_50,c_49]) ).
tcf(c_2941,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))) = join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))),
inference(theory_normalisation,[status(thm)],[c_2901,c_50,c_49]) ).
tcf(c_2943,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))),
inference(theory_normalisation,[status(thm)],[c_2915,c_50,c_49]) ).
tcf(c_2944,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top)),
inference(light_normalisation,[status(thm)],[c_2943,c_107,c_1431,c_1754]) ).
tcf(c_2945,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))))) = join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))),
inference(theory_normalisation,[status(thm)],[c_2944,c_50,c_49]) ).
tcf(c_2946,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_2914,c_50,c_49]) ).
tcf(c_2950,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))),
inference(theory_normalisation,[status(thm)],[c_2912,c_50,c_49]) ).
tcf(c_2951,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,zero))))),
inference(light_normalisation,[status(thm)],[c_2950,c_107,c_1754]) ).
tcf(c_2952,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))))) = join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_2897,c_1654,c_1671]) ).
tcf(c_2953,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11))))))))) = join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_2952,c_50,c_49]) ).
tcf(c_2955,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(zero,iPr_def_11)))))) = join(iPr_def_11,join(zero,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_2896,c_107,c_192,c_209,c_1654,c_1671]) ).
tcf(c_2956,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(iPr_def_11,zero)))))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(theory_normalisation,[status(thm)],[c_2955,c_50,c_49]) ).
tcf(c_2957,plain,
join(iPr_def_11,join(iPr_def_11,zero)) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_2956,c_107,c_459,c_1786]) ).
tcf(c_2958,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(zero)))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(zero)))))),
inference(theory_normalisation,[status(thm)],[c_2895,c_50,c_49]) ).
tcf(c_2959,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top)))))) = join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top)),
inference(light_normalisation,[status(thm)],[c_2958,c_107,c_1431,c_1754]) ).
tcf(c_2960,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))))) = join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))),
inference(theory_normalisation,[status(thm)],[c_2959,c_50,c_49]) ).
tcf(c_2961,plain,
join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))) = join(iPr_def_11,complement(join(iPr_def_11,zero))),
inference(light_normalisation,[status(thm)],[c_2960,c_1469]) ).
tcf(c_2962,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2930,c_50,c_49]) ).
tcf(c_2963,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),X1)) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),X1))),
inference(theory_normalisation,[status(thm)],[c_2916,c_50,c_49]) ).
tcf(c_2964,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))))))) = join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))),
inference(theory_normalisation,[status(thm)],[c_2900,c_50,c_49]) ).
tcf(c_2966,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_2926,c_50,c_49]) ).
tcf(c_2967,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_2923,c_50,c_49]) ).
tcf(c_2968,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(iPr_def_11),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_2931,c_50,c_49]) ).
tcf(c_2969,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_10,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(light_normalisation,[status(thm)],[c_2968,c_1671]) ).
tcf(c_2970,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_2907,c_50,c_49]) ).
tcf(c_2971,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2927,c_50,c_49]) ).
tcf(c_2972,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))),
inference(theory_normalisation,[status(thm)],[c_2910,c_50,c_49]) ).
tcf(c_2973,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2929,c_50,c_49]) ).
tcf(c_2974,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_2911,c_50,c_49]) ).
tcf(c_2975,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2922,c_50,c_49]) ).
tcf(c_2976,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2928,c_50,c_49]) ).
tcf(c_2977,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2925,c_50,c_49]) ).
tcf(c_2978,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_2924,c_50,c_49]) ).
tcf(c_2979,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_2908,c_50,c_49]) ).
tcf(c_2980,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_2905,c_50,c_49]) ).
tcf(c_2981,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2921,c_50,c_49]) ).
tcf(c_2982,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_2920,c_50,c_49]) ).
tcf(c_2983,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_2906,c_50,c_49]) ).
tcf(c_2984,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_2919,c_50,c_49]) ).
tcf(c_2986,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2786,c_52,c_448,c_556]) ).
tcf(c_2987,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2986,c_50]) ).
tcf(c_2989,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2986,c_392]) ).
tcf(c_2990,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2989,c_193]) ).
tcf(c_2992,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2808,c_52,c_448,c_556]) ).
tcf(c_2993,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_2992]) ).
tcf(c_2994,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_2992]) ).
tcf(c_2995,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_2992]) ).
tcf(c_2996,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_2992]) ).
tcf(c_2997,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_2992]) ).
tcf(c_2998,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_2992]) ).
tcf(c_2999,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_2992]) ).
tcf(c_3000,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_2992]) ).
tcf(c_3001,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_2992]) ).
tcf(c_3002,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_2992]) ).
tcf(c_3003,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_2992]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_2992]) ).
tcf(c_3005,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_2992]) ).
tcf(c_3006,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_2992]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_2992,c_50]) ).
tcf(c_3009,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2992,c_392]) ).
tcf(c_3010,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3006,c_1671,c_1689]) ).
tcf(c_3011,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3005,c_1431]) ).
tcf(c_3012,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3009,c_193]) ).
tcf(c_3022,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(X1,iPr_def_11)))),complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))))) = join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))),
inference(superposition,[status(thm)],[c_50,c_2231]) ).
tcf(c_3023,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))))) = join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))),
inference(superposition,[status(thm)],[c_1336,c_2231]) ).
tcf(c_3024,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))))) = join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))),
inference(superposition,[status(thm)],[c_209,c_2231]) ).
tcf(c_3025,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))) = join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1654,c_2231]) ).
tcf(c_3026,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))),
inference(superposition,[status(thm)],[c_59,c_2231]) ).
tcf(c_3027,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_894,c_2231]) ).
tcf(c_3028,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_897,c_2231]) ).
tcf(c_3029,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1888,c_2231]) ).
tcf(c_3030,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_1897,c_2231]) ).
tcf(c_3031,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(superposition,[status(thm)],[c_1901,c_2231]) ).
tcf(c_3032,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_2221,c_2231]) ).
tcf(c_3033,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_2225,c_2231]) ).
tcf(c_3035,plain,
join(iPr_def_11,complement(join(complement(complement(join(top,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero))))))))) = join(iPr_def_11,join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero))))),
inference(superposition,[status(thm)],[c_107,c_2231]) ).
tcf(c_3036,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(superposition,[status(thm)],[c_192,c_2231]) ).
tcf(c_3037,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))),
inference(superposition,[status(thm)],[c_1671,c_2231]) ).
tcf(c_3038,plain,
join(iPr_def_11,complement(join(complement(complement(join(zero,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))))) = join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))),
inference(superposition,[status(thm)],[c_1431,c_2231]) ).
tcf(c_3039,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),X1)) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),X1),
inference(superposition,[status(thm)],[c_2231,c_50]) ).
tcf(c_3041,plain,
! [X0: $i] : join(top,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_10,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),
inference(superposition,[status(thm)],[c_2231,c_365]) ).
tcf(c_3042,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(superposition,[status(thm)],[c_2231,c_2231]) ).
tcf(c_3043,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(superposition,[status(thm)],[c_2231,c_1901]) ).
tcf(c_3044,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2231,c_900]) ).
tcf(c_3045,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2231,c_1298]) ).
tcf(c_3046,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2231,c_2225]) ).
tcf(c_3047,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_2231,c_2221]) ).
tcf(c_3048,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2231,c_897]) ).
tcf(c_3049,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2231,c_1897]) ).
tcf(c_3050,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_2231,c_1888]) ).
tcf(c_3051,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2231,c_1280]) ).
tcf(c_3052,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2231,c_894]) ).
tcf(c_3053,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2231,c_705]) ).
tcf(c_3054,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2231,c_233]) ).
tcf(c_3055,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(iPr_def_11)))) = join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2231,c_218]) ).
tcf(c_3056,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))))) = join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_3026,c_50,c_49]) ).
tcf(c_3057,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(top,iPr_def_10)))))) = join(iPr_def_11,join(top,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_3056,c_107,c_192,c_1431,c_1654,c_1671]) ).
tcf(c_3058,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,top)))))) = join(iPr_def_10,join(iPr_def_11,top)),
inference(theory_normalisation,[status(thm)],[c_3057,c_50,c_49]) ).
tcf(c_3067,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))),
inference(theory_normalisation,[status(thm)],[c_3038,c_50,c_49]) ).
tcf(c_3068,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top)))))) = join(iPr_def_11,join(complement(join(iPr_def_11,zero)),top)),
inference(light_normalisation,[status(thm)],[c_3067,c_107,c_1431,c_1754]) ).
tcf(c_3069,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))))) = join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))),
inference(theory_normalisation,[status(thm)],[c_3068,c_50,c_49]) ).
tcf(c_3070,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))) = join(iPr_def_11,complement(join(iPr_def_11,zero))),
inference(light_normalisation,[status(thm)],[c_3069,c_2961]) ).
tcf(c_3071,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3037,c_50,c_49]) ).
tcf(c_3076,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))),
inference(theory_normalisation,[status(thm)],[c_3035,c_50,c_49]) ).
tcf(c_3077,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,zero))))))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,zero))))),
inference(light_normalisation,[status(thm)],[c_3076,c_107,c_1431,c_1754]) ).
tcf(c_3078,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3054,c_50,c_49]) ).
tcf(c_3079,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),X1)) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),X1))),
inference(theory_normalisation,[status(thm)],[c_3039,c_50,c_49]) ).
tcf(c_3080,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_3050,c_50,c_49]) ).
tcf(c_3081,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_3047,c_50,c_49]) ).
tcf(c_3082,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(iPr_def_11),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_3055,c_50,c_49]) ).
tcf(c_3083,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_10,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(light_normalisation,[status(thm)],[c_3082,c_1671]) ).
tcf(c_3084,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_3029,c_50,c_49]) ).
tcf(c_3085,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))),
inference(theory_normalisation,[status(thm)],[c_3032,c_50,c_49]) ).
tcf(c_3086,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3051,c_50,c_49]) ).
tcf(c_3087,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3053,c_50,c_49]) ).
tcf(c_3088,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3033,c_50,c_49]) ).
tcf(c_3089,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_3046,c_50,c_49]) ).
tcf(c_3090,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3030,c_50,c_49]) ).
tcf(c_3091,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3027,c_50,c_49]) ).
tcf(c_3092,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_3052,c_50,c_49]) ).
tcf(c_3093,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_3049,c_50,c_49]) ).
tcf(c_3094,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_3048,c_50,c_49]) ).
tcf(c_3095,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3045,c_50,c_49]) ).
tcf(c_3096,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3028,c_50,c_49]) ).
tcf(c_3097,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3044,c_50,c_49]) ).
tcf(c_3098,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3031,c_50,c_49]) ).
tcf(c_3099,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3043,c_50,c_49]) ).
tcf(c_3100,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3042,c_50,c_49]) ).
tcf(c_3126,plain,
join(top,converse(complement(top))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_2353]) ).
tcf(c_3127,plain,
join(top,converse(zero)) = converse(top),
inference(superposition,[status(thm)],[c_1429,c_2353]) ).
tcf(c_3129,plain,
! [X0: $i] : join(top,converse(join(top,X0))) = converse(join(top,X0)),
inference(superposition,[status(thm)],[c_1057,c_2353]) ).
tcf(c_3130,plain,
! [X0: $i] : join(top,converse(composition(converse(X0),complement(composition(X0,iPr_def_10))))) = converse(top),
inference(superposition,[status(thm)],[c_466,c_2353]) ).
tcf(c_3131,plain,
! [X0: $i] : join(top,converse(composition(X0,complement(composition(converse(X0),iPr_def_10))))) = converse(top),
inference(superposition,[status(thm)],[c_488,c_2353]) ).
tcf(c_3132,plain,
! [X0: $i] : join(top,converse(join(X0,top))) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_1313,c_2353]) ).
tcf(c_3133,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_2992]) ).
tcf(c_3134,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_2788]) ).
tcf(c_3135,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_2576]) ).
tcf(c_3136,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_2552]) ).
tcf(c_3137,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_2528]) ).
tcf(c_3138,plain,
! [X0: $i,X1: $i] : converse(composition(join(top,converse(X0)),X1)) = composition(converse(X1),join(top,X0)),
inference(superposition,[status(thm)],[c_2353,c_226]) ).
tcf(c_3139,plain,
! [X0: $i,X1: $i] : converse(join(join(top,converse(X0)),X1)) = join(join(top,X0),converse(X1)),
inference(superposition,[status(thm)],[c_2353,c_221]) ).
tcf(c_3140,plain,
! [X0: $i] : join(top,composition(join(top,X0),complement(composition(join(top,converse(X0)),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_2353,c_488]) ).
tcf(c_3141,plain,
! [X0: $i] : join(top,composition(join(top,converse(X0)),complement(composition(join(top,X0),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_2353,c_466]) ).
tcf(c_3142,plain,
! [X0: $i] : join(iPr_def_11,composition(join(top,X0),complement(composition(join(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2353,c_432]) ).
tcf(c_3143,plain,
! [X0: $i] : join(iPr_def_11,composition(join(top,converse(X0)),complement(composition(join(top,X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2353,c_349]) ).
tcf(c_3144,plain,
! [X0: $i,X1: $i] : composition(join(top,converse(X0)),converse(X1)) = converse(composition(X1,join(top,X0))),
inference(superposition,[status(thm)],[c_2353,c_57]) ).
tcf(c_3145,plain,
! [X0: $i,X1: $i] : join(join(top,converse(X0)),converse(X1)) = converse(join(join(top,X0),X1)),
inference(superposition,[status(thm)],[c_2353,c_56]) ).
tcf(c_3146,plain,
! [X0: $i] : converse(join(top,converse(X0))) = join(top,X0),
inference(superposition,[status(thm)],[c_2353,c_55]) ).
tcf(c_3147,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(top,converse(X1)))) = composition(join(top,X1),converse(X0)),
inference(superposition,[status(thm)],[c_2353,c_225]) ).
tcf(c_3148,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(top,converse(X1)))) = join(converse(X0),join(top,X1)),
inference(superposition,[status(thm)],[c_2353,c_222]) ).
tcf(c_3149,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_2353,c_76]) ).
tcf(c_3150,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(top,converse(X1))) = converse(composition(join(top,X1),X0)),
inference(superposition,[status(thm)],[c_2353,c_57]) ).
tcf(c_3151,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(top,converse(X1))) = converse(join(X0,join(top,X1))),
inference(superposition,[status(thm)],[c_2353,c_56]) ).
tcf(c_3152,plain,
! [X0: $i] : join(top,converse(converse(X0))) = join(converse(top),X0),
inference(superposition,[status(thm)],[c_2353,c_222]) ).
tcf(c_3153,plain,
join(one,converse(top)) = join(top,converse(one)),
inference(superposition,[status(thm)],[c_2353,c_1729]) ).
tcf(c_3156,plain,
join(one,top) = join(top,one),
inference(light_normalisation,[status(thm)],[c_3153,c_1689,c_2343]) ).
tcf(c_3158,plain,
! [X0: $i] : join(top,join(top,converse(X0))) = join(top,converse(X0)),
inference(light_normalisation,[status(thm)],[c_3132,c_2359]) ).
tcf(c_3160,plain,
! [X0: $i] : join(top,converse(composition(X0,complement(composition(converse(X0),iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_3131,c_2343]) ).
tcf(c_3161,plain,
! [X0: $i] : join(top,converse(composition(converse(X0),complement(composition(X0,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_3130,c_2343]) ).
tcf(c_3162,plain,
! [X0: $i,X1: $i] : join(top,join(converse(X0),converse(X1))) = converse(join(X0,join(top,X1))),
inference(theory_normalisation,[status(thm)],[c_3151,c_50,c_49]) ).
tcf(c_3163,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(top,converse(X1)))) = join(top,join(X1,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_3148,c_50,c_49]) ).
tcf(c_3164,plain,
! [X0: $i,X1: $i] : join(top,join(converse(X0),converse(X1))) = converse(join(top,join(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_3145,c_50,c_49]) ).
tcf(c_3165,plain,
! [X0: $i,X1: $i] : converse(join(top,join(converse(X0),X1))) = join(top,join(X0,converse(X1))),
inference(theory_normalisation,[status(thm)],[c_3139,c_50,c_49]) ).
tcf(c_3168,plain,
composition(converse(one),top) = converse(top),
inference(superposition,[status(thm)],[c_53,c_2357]) ).
tcf(c_3169,plain,
composition(converse(top),top) = converse(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_448,c_2357]) ).
tcf(c_3170,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_2992]) ).
tcf(c_3171,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_2788]) ).
tcf(c_3172,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_2576]) ).
tcf(c_3173,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_2552]) ).
tcf(c_3174,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_2528]) ).
tcf(c_3175,plain,
! [X0: $i,X1: $i] : converse(composition(composition(converse(X0),top),X1)) = composition(converse(X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_2357,c_226]) ).
tcf(c_3176,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),top),X1)) = join(composition(top,X0),converse(X1)),
inference(superposition,[status(thm)],[c_2357,c_221]) ).
tcf(c_3177,plain,
! [X0: $i] : join(top,composition(composition(top,X0),complement(composition(composition(converse(X0),top),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_2357,c_488]) ).
tcf(c_3178,plain,
! [X0: $i] : join(top,composition(composition(converse(X0),top),complement(composition(composition(top,X0),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_2357,c_466]) ).
tcf(c_3179,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_2357,c_432]) ).
tcf(c_3180,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_2357,c_349]) ).
tcf(c_3181,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),top),converse(X1)) = converse(composition(X1,composition(top,X0))),
inference(superposition,[status(thm)],[c_2357,c_57]) ).
tcf(c_3182,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),top),converse(X1)) = converse(join(composition(top,X0),X1)),
inference(superposition,[status(thm)],[c_2357,c_56]) ).
tcf(c_3183,plain,
! [X0: $i] : converse(composition(converse(X0),top)) = composition(top,X0),
inference(superposition,[status(thm)],[c_2357,c_55]) ).
tcf(c_3184,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(converse(X1),top))) = composition(composition(top,X1),converse(X0)),
inference(superposition,[status(thm)],[c_2357,c_225]) ).
tcf(c_3185,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),top))) = join(converse(X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_2357,c_222]) ).
tcf(c_3186,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_2357,c_76]) ).
tcf(c_3187,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(converse(X1),top)) = converse(composition(composition(top,X1),X0)),
inference(superposition,[status(thm)],[c_2357,c_57]) ).
tcf(c_3188,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(converse(X1),top)) = converse(join(X0,composition(top,X1))),
inference(superposition,[status(thm)],[c_2357,c_56]) ).
tcf(c_3189,plain,
! [X0: $i] : composition(converse(converse(X0)),top) = composition(X0,converse(top)),
inference(superposition,[status(thm)],[c_2357,c_225]) ).
tcf(c_3190,plain,
composition(one,top) = top,
inference(light_normalisation,[status(thm)],[c_3168,c_1689,c_2343]) ).
tcf(c_3191,plain,
converse(join(iPr_def_10,iPr_def_12)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_3169,c_448,c_2343]) ).
tcf(c_3196,plain,
composition(converse(iPr_def_11),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_1926,c_1950]) ).
tcf(c_3197,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_3196,c_54]) ).
tcf(c_3198,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_3196,c_52]) ).
tcf(c_3199,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_3196,c_54]) ).
tcf(c_3200,plain,
join(complement(iPr_def_10),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_3196,c_76]) ).
tcf(c_3201,plain,
composition(converse(iPr_def_10),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_3196,c_226]) ).
tcf(c_3202,plain,
join(top,composition(converse(converse(iPr_def_11)),complement(zero))) = top,
inference(superposition,[status(thm)],[c_3196,c_466]) ).
tcf(c_3203,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_11)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3196,c_349]) ).
tcf(c_3204,plain,
join(top,composition(iPr_def_11,complement(zero))) = top,
inference(superposition,[status(thm)],[c_3196,c_488]) ).
tcf(c_3205,plain,
join(iPr_def_11,composition(iPr_def_11,complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3196,c_432]) ).
tcf(c_3207,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3205,c_116,c_1431]) ).
tcf(c_3208,plain,
join(top,iPr_def_12) = top,
inference(light_normalisation,[status(thm)],[c_3204,c_116,c_1431]) ).
tcf(c_3209,plain,
join(iPr_def_12,top) = top,
inference(theory_normalisation,[status(thm)],[c_3208,c_50,c_49]) ).
tcf(c_3210,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_11)),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3203,c_1431]) ).
tcf(c_3211,plain,
join(top,composition(converse(converse(iPr_def_11)),top)) = top,
inference(light_normalisation,[status(thm)],[c_3202,c_1431]) ).
tcf(c_3213,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_3199,c_50,c_49]) ).
tcf(c_3214,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_3207,c_50]) ).
tcf(c_3216,plain,
join(top,iPr_def_12) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_3207,c_365]) ).
tcf(c_3217,plain,
join(iPr_def_10,iPr_def_11) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_3216,c_50,c_49]) ).
tcf(c_3219,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2990,c_52,c_448,c_556]) ).
tcf(c_3220,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3219,c_50]) ).
tcf(c_3222,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3219,c_392]) ).
tcf(c_3223,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3222,c_193]) ).
tcf(c_3225,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3012,c_52,c_448,c_556]) ).
tcf(c_3226,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_3225]) ).
tcf(c_3227,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_3225]) ).
tcf(c_3228,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_3225]) ).
tcf(c_3229,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_3225]) ).
tcf(c_3230,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_3225]) ).
tcf(c_3231,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_3225]) ).
tcf(c_3232,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_3225]) ).
tcf(c_3233,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_3225]) ).
tcf(c_3234,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_3225]) ).
tcf(c_3235,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_3225]) ).
tcf(c_3236,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_3225]) ).
tcf(c_3237,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_3225]) ).
tcf(c_3238,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_3225]) ).
tcf(c_3239,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_3225]) ).
tcf(c_3240,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_3225]) ).
tcf(c_3241,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_3225]) ).
tcf(c_3242,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3225,c_50]) ).
tcf(c_3244,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3225,c_392]) ).
tcf(c_3245,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3241,c_1671,c_1689]) ).
tcf(c_3246,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3240,c_1431]) ).
tcf(c_3247,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3244,c_193]) ).
tcf(c_3261,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(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_49,c_2864]) ).
tcf(c_3263,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))))))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_2864]) ).
tcf(c_3264,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_2864]) ).
tcf(c_3265,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))))))))))) = top,
inference(superposition,[status(thm)],[c_209,c_2864]) ).
tcf(c_3266,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_2864]) ).
tcf(c_3267,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_2864]) ).
tcf(c_3268,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_2864]) ).
tcf(c_3269,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_2864]) ).
tcf(c_3270,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1888,c_2864]) ).
tcf(c_3271,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_2864]) ).
tcf(c_3272,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1901,c_2864]) ).
tcf(c_3273,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_2221,c_2864]) ).
tcf(c_3274,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_2864]) ).
tcf(c_3275,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2231,c_2864]) ).
tcf(c_3277,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,iPr_def_11)),complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero)))))))))))))))) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_107,c_2864]) ).
tcf(c_3278,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))))))))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_2864]) ).
tcf(c_3279,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_2864]) ).
tcf(c_3280,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(zero,iPr_def_11)),complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))))))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1431,c_2864]) ).
tcf(c_3281,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_2864,c_50]) ).
tcf(c_3283,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_2864,c_365]) ).
tcf(c_3284,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_2864]) ).
tcf(c_3285,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_2864,c_2231]) ).
tcf(c_3286,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_2864,c_1901]) ).
tcf(c_3287,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2864,c_900]) ).
tcf(c_3288,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2864,c_1298]) ).
tcf(c_3289,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_2225]) ).
tcf(c_3290,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_2221]) ).
tcf(c_3291,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_897]) ).
tcf(c_3292,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_1897]) ).
tcf(c_3293,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_1888]) ).
tcf(c_3294,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2864,c_1280]) ).
tcf(c_3295,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_894]) ).
tcf(c_3296,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2864,c_705]) ).
tcf(c_3297,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2864,c_233]) ).
tcf(c_3298,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),complement(iPr_def_11)))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(superposition,[status(thm)],[c_2864,c_218]) ).
tcf(c_3299,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3266,c_1671]) ).
tcf(c_3300,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11)))))))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3299,c_50,c_49]) ).
tcf(c_3302,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,iPr_def_11))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_3265,c_107,c_192,c_1654,c_1671]) ).
tcf(c_3303,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,zero))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_3302,c_50,c_49]) ).
tcf(c_3305,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3267,c_50,c_49]) ).
tcf(c_3306,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10))))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3305,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_3307,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top))))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3306,c_50,c_49]) ).
tcf(c_3309,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_3280,c_50,c_49]) ).
tcf(c_3310,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top))))))))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_3309,c_107,c_1431,c_1754]) ).
tcf(c_3311,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero))))))))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_3310,c_50,c_49]) ).
tcf(c_3312,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3279,c_50,c_49]) ).
tcf(c_3316,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_3277,c_50,c_49]) ).
tcf(c_3317,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero)))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_3316,c_107,c_1754]) ).
tcf(c_3318,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_3283,c_454]) ).
tcf(c_3319,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3297,c_50,c_49]) ).
tcf(c_3320,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_3281,c_50,c_49]) ).
tcf(c_3321,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3293,c_50,c_49]) ).
tcf(c_3322,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3290,c_50,c_49]) ).
tcf(c_3323,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_3270,c_50,c_49]) ).
tcf(c_3324,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3298,c_50,c_49]) ).
tcf(c_3325,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(light_normalisation,[status(thm)],[c_3324,c_1671]) ).
tcf(c_3326,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3273,c_50,c_49]) ).
tcf(c_3327,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3294,c_50,c_49]) ).
tcf(c_3328,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3296,c_50,c_49]) ).
tcf(c_3329,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_3274,c_50,c_49]) ).
tcf(c_3330,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_3271,c_50,c_49]) ).
tcf(c_3331,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_3268,c_50,c_49]) ).
tcf(c_3332,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3289,c_50,c_49]) ).
tcf(c_3333,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_3272,c_50,c_49]) ).
tcf(c_3334,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3295,c_50,c_49]) ).
tcf(c_3335,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3292,c_50,c_49]) ).
tcf(c_3336,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3291,c_50,c_49]) ).
tcf(c_3337,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3288,c_50,c_49]) ).
tcf(c_3338,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3269,c_50,c_49]) ).
tcf(c_3339,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3287,c_50,c_49]) ).
tcf(c_3340,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3286,c_50,c_49]) ).
tcf(c_3341,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_3275,c_50,c_49]) ).
tcf(c_3342,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3285,c_50,c_49]) ).
tcf(c_3343,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3284,c_50,c_49]) ).
tcf(c_3365,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(zero)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(zero)))))))),
inference(superposition,[status(thm)],[c_1336,c_1903]) ).
tcf(c_3366,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))),
inference(superposition,[status(thm)],[c_365,c_1903]) ).
tcf(c_3367,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))),
inference(superposition,[status(thm)],[c_1747,c_1903]) ).
tcf(c_3368,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_49,c_1903]) ).
tcf(c_3370,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,X1),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))),
inference(superposition,[status(thm)],[c_50,c_1903]) ).
tcf(c_3371,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))))) = join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))),
inference(superposition,[status(thm)],[c_1336,c_1903]) ).
tcf(c_3372,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))))))) = join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))),
inference(superposition,[status(thm)],[c_209,c_1903]) ).
tcf(c_3373,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))))) = join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))),
inference(superposition,[status(thm)],[c_1654,c_1903]) ).
tcf(c_3374,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))),
inference(superposition,[status(thm)],[c_59,c_1903]) ).
tcf(c_3375,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_894,c_1903]) ).
tcf(c_3376,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_897,c_1903]) ).
tcf(c_3377,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1888,c_1903]) ).
tcf(c_3378,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_1897,c_1903]) ).
tcf(c_3379,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1901,c_1903]) ).
tcf(c_3381,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2221,c_1903]) ).
tcf(c_3382,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2225,c_1903]) ).
tcf(c_3383,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_2231,c_1903]) ).
tcf(c_3384,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2864,c_1903]) ).
tcf(c_3385,plain,
join(iPr_def_11,complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero))))))),
inference(superposition,[status(thm)],[c_107,c_1903]) ).
tcf(c_3386,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_192,c_1903]) ).
tcf(c_3387,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))),
inference(superposition,[status(thm)],[c_1671,c_1903]) ).
tcf(c_3388,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))),
inference(superposition,[status(thm)],[c_1431,c_1903]) ).
tcf(c_3389,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),X1)) = join(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),X1),
inference(superposition,[status(thm)],[c_1903,c_50]) ).
tcf(c_3390,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1903,c_1747]) ).
tcf(c_3391,plain,
! [X0: $i] : join(top,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_10,join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_1903,c_365]) ).
tcf(c_3392,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_1903,c_1903]) ).
tcf(c_3393,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1903,c_2864]) ).
tcf(c_3394,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1903,c_2231]) ).
tcf(c_3395,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1903,c_1901]) ).
tcf(c_3396,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1903,c_900]) ).
tcf(c_3397,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1903,c_1298]) ).
tcf(c_3398,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1903,c_2225]) ).
tcf(c_3399,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1903,c_2221]) ).
tcf(c_3400,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1903,c_897]) ).
tcf(c_3401,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1903,c_1897]) ).
tcf(c_3402,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1903,c_1888]) ).
tcf(c_3403,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1903,c_1280]) ).
tcf(c_3404,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1903,c_894]) ).
tcf(c_3405,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1903,c_705]) ).
tcf(c_3406,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1903,c_233]) ).
tcf(c_3407,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(iPr_def_11)))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(superposition,[status(thm)],[c_1903,c_218]) ).
tcf(c_3408,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))),
inference(theory_normalisation,[status(thm)],[c_3374,c_50,c_49]) ).
tcf(c_3409,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10))))))))) = join(iPr_def_11,complement(complement(join(top,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_3408,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_3410,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,top)))),
inference(theory_normalisation,[status(thm)],[c_3409,c_50,c_49]) ).
tcf(c_3412,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))),
inference(light_normalisation,[status(thm)],[c_3373,c_1671]) ).
tcf(c_3413,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_3412,c_50,c_49]) ).
tcf(c_3415,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(zero,iPr_def_11))))))))) = join(iPr_def_11,complement(complement(join(zero,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_3372,c_107,c_192,c_1654,c_1671]) ).
tcf(c_3416,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,zero))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,zero)))),
inference(theory_normalisation,[status(thm)],[c_3415,c_50,c_49]) ).
tcf(c_3417,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))))) = join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))),
inference(theory_normalisation,[status(thm)],[c_3371,c_50,c_49]) ).
tcf(c_3419,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))),
inference(theory_normalisation,[status(thm)],[c_3388,c_50,c_49]) ).
tcf(c_3420,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top)))),
inference(light_normalisation,[status(thm)],[c_3419,c_107,c_1431,c_1754]) ).
tcf(c_3421,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero)))))),
inference(theory_normalisation,[status(thm)],[c_3420,c_50,c_49]) ).
tcf(c_3422,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_3387,c_50,c_49]) ).
tcf(c_3426,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))),
inference(theory_normalisation,[status(thm)],[c_3385,c_50,c_49]) ).
tcf(c_3427,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero))))))),
inference(light_normalisation,[status(thm)],[c_3426,c_107,c_1754]) ).
tcf(c_3428,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))),
inference(light_normalisation,[status(thm)],[c_3367,c_1654,c_1671]) ).
tcf(c_3429,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_3428,c_50,c_49]) ).
tcf(c_3431,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(zero,iPr_def_11)))))))) = join(iPr_def_11,complement(complement(join(zero,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_3366,c_107,c_192,c_209,c_1654,c_1671]) ).
tcf(c_3432,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,zero)))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,zero)))),
inference(theory_normalisation,[status(thm)],[c_3431,c_50,c_49]) ).
tcf(c_3433,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(zero)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(zero)))))))),
inference(theory_normalisation,[status(thm)],[c_3365,c_50,c_49]) ).
tcf(c_3434,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top)))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top)))),
inference(light_normalisation,[status(thm)],[c_3433,c_107,c_1431,c_1754]) ).
tcf(c_3435,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero)))))),
inference(theory_normalisation,[status(thm)],[c_3434,c_50,c_49]) ).
tcf(c_3436,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3406,c_50,c_49]) ).
tcf(c_3437,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),X1)) = join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),X1)),
inference(theory_normalisation,[status(thm)],[c_3389,c_50,c_49]) ).
tcf(c_3438,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))),
inference(theory_normalisation,[status(thm)],[c_3370,c_50,c_49]) ).
tcf(c_3440,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_3402,c_50,c_49]) ).
tcf(c_3441,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_3399,c_50,c_49]) ).
tcf(c_3442,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(complement(iPr_def_11),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3407,c_50,c_49]) ).
tcf(c_3443,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_10,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(light_normalisation,[status(thm)],[c_3442,c_1671]) ).
tcf(c_3444,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3377,c_50,c_49]) ).
tcf(c_3445,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))),
inference(theory_normalisation,[status(thm)],[c_3381,c_50,c_49]) ).
tcf(c_3446,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3403,c_50,c_49]) ).
tcf(c_3447,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3405,c_50,c_49]) ).
tcf(c_3448,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3382,c_50,c_49]) ).
tcf(c_3449,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3398,c_50,c_49]) ).
tcf(c_3450,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3378,c_50,c_49]) ).
tcf(c_3451,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3375,c_50,c_49]) ).
tcf(c_3452,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3404,c_50,c_49]) ).
tcf(c_3453,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3401,c_50,c_49]) ).
tcf(c_3454,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3400,c_50,c_49]) ).
tcf(c_3455,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3397,c_50,c_49]) ).
tcf(c_3456,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3376,c_50,c_49]) ).
tcf(c_3457,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3396,c_50,c_49]) ).
tcf(c_3458,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3379,c_50,c_49]) ).
tcf(c_3459,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3395,c_50,c_49]) ).
tcf(c_3460,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3383,c_50,c_49]) ).
tcf(c_3461,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3394,c_50,c_49]) ).
tcf(c_3462,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3392,c_50,c_49]) ).
tcf(c_3464,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3393,c_50,c_49]) ).
tcf(c_3465,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3384,c_50,c_49]) ).
tcf(c_3466,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3223,c_52,c_448,c_556]) ).
tcf(c_3467,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3466,c_50]) ).
tcf(c_3469,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3466,c_392]) ).
tcf(c_3470,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3469,c_193]) ).
tcf(c_3472,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3247,c_52,c_448,c_556]) ).
tcf(c_3473,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_3472]) ).
tcf(c_3474,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_3472]) ).
tcf(c_3475,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_3472]) ).
tcf(c_3476,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_3472]) ).
tcf(c_3477,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_3472]) ).
tcf(c_3478,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_3472]) ).
tcf(c_3479,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_3472]) ).
tcf(c_3480,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_3472]) ).
tcf(c_3481,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_3472]) ).
tcf(c_3482,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_3472]) ).
tcf(c_3483,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_3472]) ).
tcf(c_3484,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_3472]) ).
tcf(c_3485,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_3472]) ).
tcf(c_3486,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_3472]) ).
tcf(c_3487,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_3472]) ).
tcf(c_3488,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_3472]) ).
tcf(c_3489,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3472,c_50]) ).
tcf(c_3491,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3472,c_392]) ).
tcf(c_3492,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3488,c_1671,c_1689]) ).
tcf(c_3493,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3487,c_1431]) ).
tcf(c_3494,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3491,c_193]) ).
tcf(c_3532,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(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_49,c_2866]) ).
tcf(c_3534,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))))))))))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_2866]) ).
tcf(c_3535,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero))))))))))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_2866]) ).
tcf(c_3536,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))))))))))))))) = top,
inference(superposition,[status(thm)],[c_209,c_2866]) ).
tcf(c_3537,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))))))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_2866]) ).
tcf(c_3538,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top))))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_2866]) ).
tcf(c_3539,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_2866]) ).
tcf(c_3540,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_2866]) ).
tcf(c_3541,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1888,c_2866]) ).
tcf(c_3542,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_2866]) ).
tcf(c_3543,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1901,c_2866]) ).
tcf(c_3544,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1903,c_2866]) ).
tcf(c_3545,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_2221,c_2866]) ).
tcf(c_3546,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_2866]) ).
tcf(c_3547,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2231,c_2866]) ).
tcf(c_3548,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_2866]) ).
tcf(c_3550,plain,
join(iPr_def_11,complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero)))))))))))))))))) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_107,c_2866]) ).
tcf(c_3551,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11)))))))))))))))))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_192,c_2866]) ).
tcf(c_3552,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10)))))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_2866]) ).
tcf(c_3553,plain,
join(iPr_def_11,complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top)))))))))))))))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1431,c_2866]) ).
tcf(c_3554,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_2866,c_50]) ).
tcf(c_3556,plain,
! [X0: $i] : join(top,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_2866,c_365]) ).
tcf(c_3557,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_2866]) ).
tcf(c_3558,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2866,c_1903]) ).
tcf(c_3559,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_2864]) ).
tcf(c_3560,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_2866,c_2231]) ).
tcf(c_3561,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_2866,c_1901]) ).
tcf(c_3562,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2866,c_900]) ).
tcf(c_3563,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2866,c_1298]) ).
tcf(c_3564,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_2225]) ).
tcf(c_3565,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_2221]) ).
tcf(c_3566,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_897]) ).
tcf(c_3567,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_1897]) ).
tcf(c_3568,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_1888]) ).
tcf(c_3569,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2866,c_1280]) ).
tcf(c_3570,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_894]) ).
tcf(c_3571,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2866,c_705]) ).
tcf(c_3572,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2866,c_233]) ).
tcf(c_3573,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),complement(iPr_def_11)))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(superposition,[status(thm)],[c_2866,c_218]) ).
tcf(c_3574,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))))))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3537,c_1671]) ).
tcf(c_3575,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11)))))))))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3574,c_50,c_49]) ).
tcf(c_3577,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,iPr_def_11))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_3536,c_107,c_192,c_1654,c_1671]) ).
tcf(c_3578,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,zero))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_3577,c_50,c_49]) ).
tcf(c_3580,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11))))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3538,c_50,c_49]) ).
tcf(c_3581,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10))))))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3580,c_107,c_1431,c_1654,c_1671]) ).
tcf(c_3582,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top))))))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3581,c_50,c_49]) ).
tcf(c_3584,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top)))))))))))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_3553,c_50,c_49]) ).
tcf(c_3585,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top))))))))))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_3584,c_107,c_1431,c_1754]) ).
tcf(c_3586,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero))))))))))))))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_3585,c_50,c_49]) ).
tcf(c_3587,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11)))))))))))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3552,c_50,c_49]) ).
tcf(c_3591,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero)))))))))))))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_3550,c_50,c_49]) ).
tcf(c_3592,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero)))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_3591,c_107,c_1754]) ).
tcf(c_3593,plain,
! [X0: $i] : join(top,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_3556,c_454]) ).
tcf(c_3594,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3572,c_50,c_49]) ).
tcf(c_3595,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_3554,c_50,c_49]) ).
tcf(c_3596,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3568,c_50,c_49]) ).
tcf(c_3597,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3565,c_50,c_49]) ).
tcf(c_3598,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_3541,c_50,c_49]) ).
tcf(c_3599,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3573,c_50,c_49]) ).
tcf(c_3600,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(light_normalisation,[status(thm)],[c_3599,c_1671]) ).
tcf(c_3601,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3545,c_50,c_49]) ).
tcf(c_3602,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3569,c_50,c_49]) ).
tcf(c_3603,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3571,c_50,c_49]) ).
tcf(c_3604,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_3546,c_50,c_49]) ).
tcf(c_3605,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_3542,c_50,c_49]) ).
tcf(c_3606,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_3539,c_50,c_49]) ).
tcf(c_3607,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_3543,c_50,c_49]) ).
tcf(c_3608,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3564,c_50,c_49]) ).
tcf(c_3609,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3570,c_50,c_49]) ).
tcf(c_3610,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3567,c_50,c_49]) ).
tcf(c_3611,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3540,c_50,c_49]) ).
tcf(c_3612,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3566,c_50,c_49]) ).
tcf(c_3613,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(theory_normalisation,[status(thm)],[c_3547,c_50,c_49]) ).
tcf(c_3614,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3563,c_50,c_49]) ).
tcf(c_3615,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_3544,c_50,c_49]) ).
tcf(c_3616,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3562,c_50,c_49]) ).
tcf(c_3617,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3561,c_50,c_49]) ).
tcf(c_3618,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3560,c_50,c_49]) ).
tcf(c_3619,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3558,c_50,c_49]) ).
tcf(c_3620,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3548,c_50,c_49]) ).
tcf(c_3621,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3559,c_50,c_49]) ).
tcf(c_3622,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3557,c_50,c_49]) ).
tcf(c_3631,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(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)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_49,c_2233]) ).
tcf(c_3633,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(X1,iPr_def_11)))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1))))))))),
inference(superposition,[status(thm)],[c_50,c_2233]) ).
tcf(c_3634,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))))))) = join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(zero)))))))),
inference(superposition,[status(thm)],[c_1336,c_2233]) ).
tcf(c_3635,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))))))) = join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))),
inference(superposition,[status(thm)],[c_209,c_2233]) ).
tcf(c_3636,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))),
inference(superposition,[status(thm)],[c_1654,c_2233]) ).
tcf(c_3637,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(top)))))),
inference(superposition,[status(thm)],[c_59,c_2233]) ).
tcf(c_3638,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_894,c_2233]) ).
tcf(c_3639,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_897,c_2233]) ).
tcf(c_3640,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1888,c_2233]) ).
tcf(c_3641,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_1897,c_2233]) ).
tcf(c_3642,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1901,c_2233]) ).
tcf(c_3643,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_1903,c_2233]) ).
tcf(c_3644,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2221,c_2233]) ).
tcf(c_3645,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2225,c_2233]) ).
tcf(c_3646,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_2231,c_2233]) ).
tcf(c_3648,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2864,c_2233]) ).
tcf(c_3649,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2866,c_2233]) ).
tcf(c_3650,plain,
join(iPr_def_11,complement(join(complement(complement(join(top,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,zero))))))),
inference(superposition,[status(thm)],[c_107,c_2233]) ).
tcf(c_3651,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_192,c_2233]) ).
tcf(c_3652,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,iPr_def_10))))))),
inference(superposition,[status(thm)],[c_1671,c_2233]) ).
tcf(c_3653,plain,
join(iPr_def_11,complement(join(complement(complement(join(zero,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(zero,iPr_def_11)),complement(complement(join(iPr_def_11,top))))))),
inference(superposition,[status(thm)],[c_1431,c_2233]) ).
tcf(c_3654,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),X1)) = join(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),X1),
inference(superposition,[status(thm)],[c_2233,c_50]) ).
tcf(c_3656,plain,
! [X0: $i] : join(top,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_10,join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_2233,c_365]) ).
tcf(c_3657,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_2233,c_2233]) ).
tcf(c_3658,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2233,c_2866]) ).
tcf(c_3659,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_2233,c_1903]) ).
tcf(c_3660,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2233,c_2864]) ).
tcf(c_3661,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_2233,c_2231]) ).
tcf(c_3662,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_2233,c_1901]) ).
tcf(c_3663,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2233,c_900]) ).
tcf(c_3664,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2233,c_1298]) ).
tcf(c_3665,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2233,c_2225]) ).
tcf(c_3666,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2233,c_2221]) ).
tcf(c_3667,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2233,c_897]) ).
tcf(c_3668,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2233,c_1897]) ).
tcf(c_3669,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2233,c_1888]) ).
tcf(c_3670,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2233,c_1280]) ).
tcf(c_3671,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2233,c_894]) ).
tcf(c_3672,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2233,c_705]) ).
tcf(c_3673,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2233,c_233]) ).
tcf(c_3674,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(iPr_def_11)))) = join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(superposition,[status(thm)],[c_2233,c_218]) ).
tcf(c_3675,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_11)))))),
inference(theory_normalisation,[status(thm)],[c_3637,c_50,c_49]) ).
tcf(c_3676,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10)))))))) = join(iPr_def_11,complement(complement(join(top,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_3675,c_107,c_192,c_1431,c_1654,c_1671]) ).
tcf(c_3677,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top)))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,top)))),
inference(theory_normalisation,[status(thm)],[c_3676,c_50,c_49]) ).
tcf(c_3685,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,top))))))),
inference(theory_normalisation,[status(thm)],[c_3653,c_50,c_49]) ).
tcf(c_3686,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top)))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,zero)),top)))),
inference(light_normalisation,[status(thm)],[c_3685,c_107,c_1431,c_1754]) ).
tcf(c_3687,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,zero)))))),
inference(theory_normalisation,[status(thm)],[c_3686,c_50,c_49]) ).
tcf(c_3688,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_3652,c_50,c_49]) ).
tcf(c_3692,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))),
inference(theory_normalisation,[status(thm)],[c_3650,c_50,c_49]) ).
tcf(c_3693,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero))))))),
inference(light_normalisation,[status(thm)],[c_3692,c_107,c_1431,c_1754]) ).
tcf(c_3694,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3673,c_50,c_49]) ).
tcf(c_3695,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),X1)) = join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),X1)),
inference(theory_normalisation,[status(thm)],[c_3654,c_50,c_49]) ).
tcf(c_3696,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_3669,c_50,c_49]) ).
tcf(c_3697,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_3666,c_50,c_49]) ).
tcf(c_3698,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3640,c_50,c_49]) ).
tcf(c_3699,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(complement(iPr_def_11),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_3674,c_50,c_49]) ).
tcf(c_3700,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_10,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(light_normalisation,[status(thm)],[c_3699,c_1671]) ).
tcf(c_3701,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))),
inference(theory_normalisation,[status(thm)],[c_3644,c_50,c_49]) ).
tcf(c_3702,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3670,c_50,c_49]) ).
tcf(c_3703,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3672,c_50,c_49]) ).
tcf(c_3704,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3645,c_50,c_49]) ).
tcf(c_3705,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3641,c_50,c_49]) ).
tcf(c_3706,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3638,c_50,c_49]) ).
tcf(c_3707,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3665,c_50,c_49]) ).
tcf(c_3708,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3671,c_50,c_49]) ).
tcf(c_3709,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3668,c_50,c_49]) ).
tcf(c_3710,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3639,c_50,c_49]) ).
tcf(c_3711,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3667,c_50,c_49]) ).
tcf(c_3712,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3664,c_50,c_49]) ).
tcf(c_3713,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3663,c_50,c_49]) ).
tcf(c_3714,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3642,c_50,c_49]) ).
tcf(c_3715,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3646,c_50,c_49]) ).
tcf(c_3716,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3662,c_50,c_49]) ).
tcf(c_3717,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3643,c_50,c_49]) ).
tcf(c_3718,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3661,c_50,c_49]) ).
tcf(c_3719,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3659,c_50,c_49]) ).
tcf(c_3720,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3657,c_50,c_49]) ).
tcf(c_3722,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3648,c_50,c_49]) ).
tcf(c_3723,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3660,c_50,c_49]) ).
tcf(c_3724,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_3658,c_50,c_49]) ).
tcf(c_3725,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_3649,c_50,c_49]) ).
tcf(c_3730,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(zero,iPr_def_11)))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1431,c_252]) ).
tcf(c_3733,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,X1)),complement(join(X0,join(X1,iPr_def_11))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_252]) ).
tcf(c_3735,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_10),complement(top))))) = top,
inference(superposition,[status(thm)],[c_209,c_252]) ).
tcf(c_3736,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_252]) ).
tcf(c_3737,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_252,c_50]) ).
tcf(c_3739,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_252,c_365]) ).
tcf(c_3740,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_252,c_2233]) ).
tcf(c_3741,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_2866]) ).
tcf(c_3742,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_252,c_1903]) ).
tcf(c_3743,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_2864]) ).
tcf(c_3744,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_252,c_2231]) ).
tcf(c_3745,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))),
inference(superposition,[status(thm)],[c_252,c_1901]) ).
tcf(c_3746,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_252,c_900]) ).
tcf(c_3747,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_252,c_1298]) ).
tcf(c_3748,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))) = join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_2225]) ).
tcf(c_3749,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_2221]) ).
tcf(c_3750,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_897]) ).
tcf(c_3751,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_1897]) ).
tcf(c_3752,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_1888]) ).
tcf(c_3753,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_252,c_1280]) ).
tcf(c_3754,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_894]) ).
tcf(c_3755,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_252,c_705]) ).
tcf(c_3756,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_252,c_233]) ).
tcf(c_3758,plain,
join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3736,c_1671,c_1913]) ).
tcf(c_3759,plain,
join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3758,c_50,c_49]) ).
tcf(c_3764,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_3730,c_50,c_49]) ).
tcf(c_3765,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_3764,c_2961]) ).
tcf(c_3772,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_3739,c_454]) ).
tcf(c_3773,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3756,c_50,c_49]) ).
tcf(c_3774,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_3737,c_50,c_49]) ).
tcf(c_3775,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11)))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3752,c_50,c_49]) ).
tcf(c_3776,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3749,c_50,c_49]) ).
tcf(c_3779,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3753,c_50,c_49]) ).
tcf(c_3780,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3755,c_50,c_49]) ).
tcf(c_3781,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3748,c_50,c_49]) ).
tcf(c_3782,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3754,c_50,c_49]) ).
tcf(c_3783,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3751,c_50,c_49]) ).
tcf(c_3784,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3750,c_50,c_49]) ).
tcf(c_3785,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3747,c_50,c_49]) ).
tcf(c_3786,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_3746,c_50,c_49]) ).
tcf(c_3787,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))),
inference(theory_normalisation,[status(thm)],[c_3745,c_50,c_49]) ).
tcf(c_3788,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))),
inference(theory_normalisation,[status(thm)],[c_3744,c_50,c_49]) ).
tcf(c_3789,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))),
inference(theory_normalisation,[status(thm)],[c_3742,c_50,c_49]) ).
tcf(c_3790,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))),
inference(theory_normalisation,[status(thm)],[c_3740,c_50,c_49]) ).
tcf(c_3791,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3743,c_50,c_49]) ).
tcf(c_3792,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_3741,c_50,c_49]) ).
tcf(c_3822,plain,
! [X0: $i,X1: $i] : join(top,converse(join(X0,X1))) = converse(join(X0,join(X1,top))),
inference(superposition,[status(thm)],[c_50,c_2359]) ).
tcf(c_3824,plain,
join(top,converse(iPr_def_11)) = converse(top),
inference(superposition,[status(thm)],[c_1754,c_2359]) ).
tcf(c_3826,plain,
join(top,converse(iPr_def_10)) = converse(top),
inference(superposition,[status(thm)],[c_1786,c_2359]) ).
tcf(c_3827,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_3472]) ).
tcf(c_3828,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_3225]) ).
tcf(c_3829,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_2992]) ).
tcf(c_3830,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_2788]) ).
tcf(c_3831,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_2576]) ).
tcf(c_3832,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_2552]) ).
tcf(c_3833,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_2528]) ).
tcf(c_3834,plain,
! [X0: $i,X1: $i] : converse(composition(join(top,converse(X0)),X1)) = composition(converse(X1),join(X0,top)),
inference(superposition,[status(thm)],[c_2359,c_226]) ).
tcf(c_3835,plain,
! [X0: $i,X1: $i] : converse(join(join(top,converse(X0)),X1)) = join(join(X0,top),converse(X1)),
inference(superposition,[status(thm)],[c_2359,c_221]) ).
tcf(c_3836,plain,
! [X0: $i] : join(top,composition(join(X0,top),complement(composition(join(top,converse(X0)),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_2359,c_488]) ).
tcf(c_3837,plain,
! [X0: $i] : join(top,composition(join(top,converse(X0)),complement(composition(join(X0,top),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_2359,c_466]) ).
tcf(c_3838,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,top),complement(composition(join(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2359,c_432]) ).
tcf(c_3839,plain,
! [X0: $i] : join(iPr_def_11,composition(join(top,converse(X0)),complement(composition(join(X0,top),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2359,c_349]) ).
tcf(c_3840,plain,
! [X0: $i,X1: $i] : composition(join(top,converse(X0)),converse(X1)) = converse(composition(X1,join(X0,top))),
inference(superposition,[status(thm)],[c_2359,c_57]) ).
tcf(c_3842,plain,
! [X0: $i] : converse(join(top,converse(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_2359,c_55]) ).
tcf(c_3843,plain,
! [X0: $i,X1: $i] : converse(composition(X0,join(top,converse(X1)))) = composition(join(X1,top),converse(X0)),
inference(superposition,[status(thm)],[c_2359,c_225]) ).
tcf(c_3845,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(top,converse(X1)),complement(composition(join(X1,top),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_2359,c_76]) ).
tcf(c_3846,plain,
! [X0: $i,X1: $i] : composition(converse(X0),join(top,converse(X1))) = converse(composition(join(X1,top),X0)),
inference(superposition,[status(thm)],[c_2359,c_57]) ).
tcf(c_3847,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(top,converse(X1))) = converse(join(X0,join(X1,top))),
inference(superposition,[status(thm)],[c_2359,c_56]) ).
tcf(c_3848,plain,
! [X0: $i] : join(top,converse(converse(X0))) = join(X0,converse(top)),
inference(superposition,[status(thm)],[c_2359,c_221]) ).
tcf(c_3850,plain,
join(top,converse(iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_3826,c_2343]) ).
tcf(c_3851,plain,
join(top,converse(iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_3824,c_2343]) ).
tcf(c_3852,plain,
! [X0: $i] : join(X0,top) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_3848,c_55,c_2343]) ).
tcf(c_3853,plain,
! [X0: $i,X1: $i] : join(top,join(converse(X0),converse(X1))) = converse(join(X0,join(X1,top))),
inference(theory_normalisation,[status(thm)],[c_3847,c_50,c_49]) ).
tcf(c_3856,plain,
! [X0: $i,X1: $i] : converse(join(top,join(converse(X0),X1))) = join(X0,join(top,converse(X1))),
inference(theory_normalisation,[status(thm)],[c_3835,c_50,c_49]) ).
tcf(c_3861,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_50,c_2696]) ).
tcf(c_3863,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_2696,c_50]) ).
tcf(c_3865,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_2696,c_392]) ).
tcf(c_3871,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_3863,c_50,c_49]) ).
tcf(c_3874,plain,
! [X0: $i] : join(iPr_def_12,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_3209,c_50]) ).
tcf(c_3875,plain,
join(top,converse(iPr_def_12)) = converse(top),
inference(superposition,[status(thm)],[c_3209,c_2359]) ).
tcf(c_3877,plain,
join(top,converse(iPr_def_12)) = top,
inference(light_normalisation,[status(thm)],[c_3875,c_2343]) ).
tcf(c_3878,plain,
! [X0: $i] : join(top,join(converse(iPr_def_10),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_3850,c_50]) ).
tcf(c_3879,plain,
join(converse(top),iPr_def_10) = converse(top),
inference(superposition,[status(thm)],[c_3850,c_222]) ).
tcf(c_3880,plain,
join(top,converse(converse(iPr_def_10))) = converse(top),
inference(superposition,[status(thm)],[c_3850,c_2353]) ).
tcf(c_3884,plain,
join(iPr_def_10,converse(top)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_3879,c_50,c_49]) ).
tcf(c_3886,plain,
join(top,converse(converse(iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_3880,c_2343]) ).
tcf(c_3887,plain,
! [X0: $i] : join(top,join(converse(iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_3851,c_50]) ).
tcf(c_3889,plain,
join(top,converse(converse(iPr_def_11))) = converse(top),
inference(superposition,[status(thm)],[c_3851,c_2353]) ).
tcf(c_3895,plain,
join(top,converse(converse(iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_3889,c_2343]) ).
tcf(c_3896,plain,
! [X0: $i] : join(top,join(converse(iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_3877,c_50]) ).
tcf(c_3897,plain,
join(converse(top),iPr_def_12) = converse(top),
inference(superposition,[status(thm)],[c_3877,c_222]) ).
tcf(c_3898,plain,
join(top,converse(converse(iPr_def_12))) = converse(top),
inference(superposition,[status(thm)],[c_3877,c_2353]) ).
tcf(c_3902,plain,
join(iPr_def_12,converse(top)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_3897,c_50,c_49]) ).
tcf(c_3904,plain,
join(top,converse(converse(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_3898,c_2343]) ).
tcf(c_3905,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3470,c_52,c_448,c_556]) ).
tcf(c_3906,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3905,c_50]) ).
tcf(c_3908,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3905,c_392]) ).
tcf(c_3909,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3908,c_193]) ).
tcf(c_3911,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3494,c_52,c_448,c_556]) ).
tcf(c_3912,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_3911]) ).
tcf(c_3913,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_3911]) ).
tcf(c_3914,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_3911]) ).
tcf(c_3915,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_3911]) ).
tcf(c_3916,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_3911]) ).
tcf(c_3917,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_3911]) ).
tcf(c_3918,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_3911]) ).
tcf(c_3919,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_3911]) ).
tcf(c_3920,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_3911]) ).
tcf(c_3921,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_3911]) ).
tcf(c_3922,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_3911]) ).
tcf(c_3923,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_3911]) ).
tcf(c_3924,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_3911]) ).
tcf(c_3925,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_3911]) ).
tcf(c_3926,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_3911]) ).
tcf(c_3927,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_3911]) ).
tcf(c_3928,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_3911]) ).
tcf(c_3929,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3911,c_50]) ).
tcf(c_3931,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3911,c_392]) ).
tcf(c_3932,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3928,c_1671,c_1689]) ).
tcf(c_3933,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3927,c_1431]) ).
tcf(c_3934,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3931,c_193]) ).
tcf(c_3935,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3909,c_52,c_448,c_556]) ).
tcf(c_3936,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3935,c_50]) ).
tcf(c_3938,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3935,c_392]) ).
tcf(c_3939,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3938,c_193]) ).
tcf(c_3941,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3934,c_52,c_448,c_556]) ).
tcf(c_3942,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_3941]) ).
tcf(c_3943,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_3941]) ).
tcf(c_3944,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_3941]) ).
tcf(c_3945,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_3941]) ).
tcf(c_3946,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_3941]) ).
tcf(c_3947,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_3941]) ).
tcf(c_3948,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_3941]) ).
tcf(c_3949,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_3941]) ).
tcf(c_3950,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_3941]) ).
tcf(c_3951,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_3941]) ).
tcf(c_3952,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_3941]) ).
tcf(c_3953,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_3941]) ).
tcf(c_3954,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_3941]) ).
tcf(c_3955,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_3941]) ).
tcf(c_3956,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_3941]) ).
tcf(c_3957,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_3941]) ).
tcf(c_3958,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_3941]) ).
tcf(c_3959,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3941,c_50]) ).
tcf(c_3961,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3941,c_392]) ).
tcf(c_3962,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3958,c_1671,c_1689]) ).
tcf(c_3963,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3957,c_1431]) ).
tcf(c_3964,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3961,c_193]) ).
tcf(c_3965,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3939,c_52,c_448,c_556]) ).
tcf(c_3966,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3965,c_50]) ).
tcf(c_3968,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3965,c_392]) ).
tcf(c_3969,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3968,c_193]) ).
tcf(c_3971,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3964,c_52,c_448,c_556]) ).
tcf(c_3972,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_3971]) ).
tcf(c_3973,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_3971]) ).
tcf(c_3974,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_3971]) ).
tcf(c_3975,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_3971]) ).
tcf(c_3976,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_3971]) ).
tcf(c_3977,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_3971]) ).
tcf(c_3978,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_3971]) ).
tcf(c_3979,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_3971]) ).
tcf(c_3980,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_3971]) ).
tcf(c_3981,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_3971]) ).
tcf(c_3982,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_3971]) ).
tcf(c_3983,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_3971]) ).
tcf(c_3984,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_3971]) ).
tcf(c_3985,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_3971]) ).
tcf(c_3986,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_3971]) ).
tcf(c_3987,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_3971]) ).
tcf(c_3988,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_3971]) ).
tcf(c_3989,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3971,c_50]) ).
tcf(c_3991,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_3971,c_392]) ).
tcf(c_3992,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3988,c_1671,c_1689]) ).
tcf(c_3993,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3987,c_1431]) ).
tcf(c_3994,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3991,c_193]) ).
tcf(c_4019,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3969,c_52,c_448,c_556]) ).
tcf(c_4020,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_4019,c_50]) ).
tcf(c_4022,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_4019,c_392]) ).
tcf(c_4023,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4022,c_193]) ).
tcf(c_4025,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3994,c_52,c_448,c_556]) ).
tcf(c_4026,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_4025]) ).
tcf(c_4027,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_4025]) ).
tcf(c_4028,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_4025]) ).
tcf(c_4029,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_4025]) ).
tcf(c_4030,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_4025]) ).
tcf(c_4031,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_4025]) ).
tcf(c_4032,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_4025]) ).
tcf(c_4033,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_4025]) ).
tcf(c_4034,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_4025]) ).
tcf(c_4035,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_4025]) ).
tcf(c_4036,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_4025]) ).
tcf(c_4037,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_4025]) ).
tcf(c_4038,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_4025]) ).
tcf(c_4039,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_4025]) ).
tcf(c_4040,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_4025]) ).
tcf(c_4041,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_4025]) ).
tcf(c_4042,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_4025]) ).
tcf(c_4043,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_4025,c_50]) ).
tcf(c_4045,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_4025,c_392]) ).
tcf(c_4046,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4042,c_1671,c_1689]) ).
tcf(c_4047,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4041,c_1431]) ).
tcf(c_4048,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4045,c_193]) ).
tcf(c_4074,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_107,c_257]) ).
tcf(c_4075,plain,
join(complement(join(iPr_def_11,iPr_def_10)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_257]) ).
tcf(c_4076,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1671,c_257]) ).
tcf(c_4077,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1431,c_257]) ).
tcf(c_4078,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_49,c_257]) ).
tcf(c_4080,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_257]) ).
tcf(c_4081,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1654,c_257]) ).
tcf(c_4082,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1754,c_257]) ).
tcf(c_4083,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_252,c_257]) ).
tcf(c_4084,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_349,c_257]) ).
tcf(c_4085,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1429,c_257]) ).
tcf(c_4086,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_432,c_257]) ).
tcf(c_4087,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_257]) ).
tcf(c_4088,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_897,c_257]) ).
tcf(c_4089,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1747,c_257]) ).
tcf(c_4090,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1783,c_257]) ).
tcf(c_4091,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_257]) ).
tcf(c_4092,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1897,c_257]) ).
tcf(c_4093,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1901,c_257]) ).
tcf(c_4094,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1903,c_257]) ).
tcf(c_4095,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2221,c_257]) ).
tcf(c_4096,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2225,c_257]) ).
tcf(c_4097,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2231,c_257]) ).
tcf(c_4098,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2233,c_257]) ).
tcf(c_4099,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2864,c_257]) ).
tcf(c_4100,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2866,c_257]) ).
tcf(c_4101,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3207,c_257]) ).
tcf(c_4102,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_257,c_50]) ).
tcf(c_4103,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_257,c_217]) ).
tcf(c_4104,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0)))),complement(iPr_def_10)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_257,c_218]) ).
tcf(c_4105,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),join(iPr_def_11,X0))),complement(iPr_def_10)) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_257,c_217]) ).
tcf(c_4106,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_257,c_218]) ).
tcf(c_4107,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4101,c_50,c_49]) ).
tcf(c_4108,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4107,c_1671]) ).
tcf(c_4109,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4108,c_50,c_49]) ).
tcf(c_4110,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4085,c_50,c_49]) ).
tcf(c_4112,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,zero))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4082,c_107]) ).
tcf(c_4113,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_10)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4081,c_1671,c_1913]) ).
tcf(c_4114,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4113,c_50,c_49]) ).
tcf(c_4121,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4080,c_50,c_49]) ).
tcf(c_4122,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4121,c_107,c_192,c_1671]) ).
tcf(c_4127,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4077,c_2961]) ).
tcf(c_4128,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4076,c_50,c_49]) ).
tcf(c_4129,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4128,c_1654,c_1671]) ).
tcf(c_4130,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4129,c_50,c_49]) ).
tcf(c_4132,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4075,c_50,c_49]) ).
tcf(c_4135,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4086,c_50,c_49]) ).
tcf(c_4136,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4135,c_1671]) ).
tcf(c_4137,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4136,c_50,c_49]) ).
tcf(c_4138,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4084,c_50,c_49]) ).
tcf(c_4139,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4138,c_1671]) ).
tcf(c_4140,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4139,c_50,c_49]) ).
tcf(c_4147,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(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_4104,c_50,c_49]) ).
tcf(c_4149,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(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_4103,c_50,c_49]) ).
tcf(c_4151,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4083,c_50,c_49]) ).
tcf(c_4153,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4091,c_50,c_49]) ).
tcf(c_4155,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4095,c_50,c_49]) ).
tcf(c_4157,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4105,c_50,c_49]) ).
tcf(c_4158,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(light_normalisation,[status(thm)],[c_4157,c_192]) ).
tcf(c_4159,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4106,c_50,c_49]) ).
tcf(c_4160,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(light_normalisation,[status(thm)],[c_4159,c_192]) ).
tcf(c_4161,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4096,c_50,c_49]) ).
tcf(c_4163,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4092,c_50,c_49]) ).
tcf(c_4164,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4087,c_50,c_49]) ).
tcf(c_4167,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4088,c_50,c_49]) ).
tcf(c_4169,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4099,c_50,c_49]) ).
tcf(c_4171,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4100,c_50,c_49]) ).
tcf(c_4173,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4093,c_50,c_49]) ).
tcf(c_4175,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4097,c_50,c_49]) ).
tcf(c_4177,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4094,c_50,c_49]) ).
tcf(c_4179,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4098,c_50,c_49]) ).
tcf(c_4183,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_12)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_49,c_3214]) ).
tcf(c_4185,plain,
join(iPr_def_11,complement(iPr_def_12)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_59,c_3214]) ).
tcf(c_4186,plain,
join(iPr_def_11,zero) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_1429,c_3214]) ).
tcf(c_4188,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3214,c_257]) ).
tcf(c_4190,plain,
! [X0: $i] : join(top,join(iPr_def_12,X0)) = join(iPr_def_10,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_3214,c_365]) ).
tcf(c_4192,plain,
join(iPr_def_11,complement(iPr_def_12)) = top,
inference(light_normalisation,[status(thm)],[c_4185,c_1754]) ).
tcf(c_4193,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(iPr_def_12,join(X0,top)),
inference(theory_normalisation,[status(thm)],[c_4190,c_50,c_49]) ).
tcf(c_4194,plain,
! [X0: $i] : join(iPr_def_12,join(X0,top)) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_4193,c_365]) ).
tcf(c_4196,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4188,c_50,c_49]) ).
tcf(c_4208,plain,
! [X0: $i] : join(iPr_def_12,join(X0,top)) = join(X0,top),
inference(superposition,[status(thm)],[c_1313,c_3874]) ).
tcf(c_4214,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_4192,c_50]) ).
tcf(c_4215,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_257]) ).
tcf(c_4217,plain,
join(top,complement(iPr_def_12)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_4192,c_365]) ).
tcf(c_4218,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_12,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))),
inference(superposition,[status(thm)],[c_4192,c_2233]) ).
tcf(c_4219,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))))))))))))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_4192,c_2866]) ).
tcf(c_4220,plain,
join(iPr_def_11,complement(join(iPr_def_12,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))),
inference(superposition,[status(thm)],[c_4192,c_1903]) ).
tcf(c_4221,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))))))))))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_4192,c_2864]) ).
tcf(c_4222,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_12,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))))) = join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))),
inference(superposition,[status(thm)],[c_4192,c_2231]) ).
tcf(c_4223,plain,
join(iPr_def_11,complement(join(iPr_def_12,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))))) = join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))),
inference(superposition,[status(thm)],[c_4192,c_1901]) ).
tcf(c_4224,plain,
join(complement(join(iPr_def_12,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_900]) ).
tcf(c_4225,plain,
join(complement(join(iPr_def_12,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_1298]) ).
tcf(c_4226,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_4192,c_2225]) ).
tcf(c_4227,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_12,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_4192,c_2221]) ).
tcf(c_4228,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))))))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_4192,c_897]) ).
tcf(c_4229,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_4192,c_1897]) ).
tcf(c_4230,plain,
join(iPr_def_11,complement(join(iPr_def_12,join(iPr_def_11,complement(top))))) = top,
inference(superposition,[status(thm)],[c_4192,c_1888]) ).
tcf(c_4231,plain,
join(complement(join(iPr_def_12,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_1280]) ).
tcf(c_4232,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))))))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_4192,c_894]) ).
tcf(c_4233,plain,
join(complement(join(iPr_def_12,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_705]) ).
tcf(c_4234,plain,
join(complement(join(iPr_def_12,iPr_def_11)),complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_233]) ).
tcf(c_4235,plain,
join(complement(top),complement(join(complement(iPr_def_12),complement(iPr_def_11)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_4192,c_218]) ).
tcf(c_4236,plain,
join(top,complement(iPr_def_12)) = top,
inference(light_normalisation,[status(thm)],[c_4217,c_1786]) ).
tcf(c_4237,plain,
join(complement(top),complement(join(iPr_def_11,iPr_def_12))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4234,c_50,c_49]) ).
tcf(c_4239,plain,
join(complement(top),complement(join(complement(iPr_def_11),complement(iPr_def_12)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_4235,c_50,c_49]) ).
tcf(c_4240,plain,
join(zero,complement(join(iPr_def_10,complement(iPr_def_12)))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_4239,c_107,c_1671]) ).
tcf(c_4241,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_4230,c_50,c_49]) ).
tcf(c_4242,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_4241,c_107]) ).
tcf(c_4243,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_4227,c_50,c_49]) ).
tcf(c_4246,plain,
join(complement(join(iPr_def_11,iPr_def_12)),complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4231,c_50,c_49]) ).
tcf(c_4250,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4215,c_50,c_49]) ).
tcf(c_4251,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_12))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4250,c_107]) ).
tcf(c_4252,plain,
join(complement(join(iPr_def_11,iPr_def_12)),complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4233,c_50,c_49]) ).
tcf(c_4253,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4252,c_107,c_1431,c_1671,c_3207]) ).
tcf(c_4256,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(top)),join(complement(join(iPr_def_11,iPr_def_12)),complement(join(iPr_def_11,iPr_def_12))))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_4226,c_50,c_49]) ).
tcf(c_4260,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_4232,c_50,c_49]) ).
tcf(c_4261,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(top,iPr_def_10))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_4260,c_107,c_1431,c_1671,c_3207]) ).
tcf(c_4264,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_4229,c_50,c_49]) ).
tcf(c_4268,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))))))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_4228,c_50,c_49]) ).
tcf(c_4272,plain,
join(complement(join(iPr_def_11,iPr_def_12)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4225,c_50,c_49]) ).
tcf(c_4276,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))))))) = join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_4223,c_50,c_49]) ).
tcf(c_4277,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,join(top,iPr_def_10))))))) = join(iPr_def_11,join(top,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_4276,c_107,c_1431,c_1671,c_3207]) ).
tcf(c_4278,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_10,join(iPr_def_11,top))))))) = join(iPr_def_10,join(iPr_def_11,top)),
inference(theory_normalisation,[status(thm)],[c_4277,c_50,c_49]) ).
tcf(c_4280,plain,
join(complement(join(iPr_def_11,iPr_def_12)),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4224,c_50,c_49]) ).
tcf(c_4284,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_12))),complement(join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))))) = join(iPr_def_11,join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_4222,c_50,c_49]) ).
tcf(c_4288,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))),
inference(theory_normalisation,[status(thm)],[c_4220,c_50,c_49]) ).
tcf(c_4289,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(top,iPr_def_10))))))))) = join(iPr_def_11,complement(complement(join(top,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_4288,c_107,c_1431,c_1671,c_3207]) ).
tcf(c_4290,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,top))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,top)))),
inference(theory_normalisation,[status(thm)],[c_4289,c_50,c_49]) ).
tcf(c_4292,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))))))))))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_4221,c_50,c_49]) ).
tcf(c_4296,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_12))),complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12)))))),
inference(theory_normalisation,[status(thm)],[c_4218,c_50,c_49]) ).
tcf(c_4300,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,iPr_def_12)),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))))))))))))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_4219,c_50,c_49]) ).
tcf(c_4304,plain,
! [X0: $i] : join(top,join(complement(iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_4236,c_50]) ).
tcf(c_4305,plain,
join(complement(top),complement(join(complement(iPr_def_12),complement(top)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_4236,c_218]) ).
tcf(c_4307,plain,
join(top,converse(complement(iPr_def_12))) = converse(top),
inference(superposition,[status(thm)],[c_4236,c_2353]) ).
tcf(c_4311,plain,
join(top,converse(complement(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_4307,c_2343]) ).
tcf(c_4312,plain,
join(zero,complement(join(complement(iPr_def_12),zero))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_4305,c_107]) ).
tcf(c_4313,plain,
join(zero,complement(join(zero,complement(iPr_def_12)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_4312,c_50,c_49]) ).
tcf(c_4317,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,X1)),complement(join(iPr_def_11,join(X0,X1)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,X1)),complement(join(iPr_def_11,join(X0,X1)))))))),
inference(superposition,[status(thm)],[c_50,c_4158]) ).
tcf(c_4318,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(zero),complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(zero),complement(join(iPr_def_11,zero))))))),
inference(superposition,[status(thm)],[c_1336,c_4158]) ).
tcf(c_4319,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_10),complement(join(iPr_def_11,iPr_def_10))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_10),complement(join(iPr_def_11,iPr_def_10))))))),
inference(superposition,[status(thm)],[c_365,c_4158]) ).
tcf(c_4320,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_11,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_1747,c_4158]) ).
tcf(c_4321,plain,
join(iPr_def_11,complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))),
inference(superposition,[status(thm)],[c_107,c_4158]) ).
tcf(c_4322,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))),
inference(superposition,[status(thm)],[c_192,c_4158]) ).
tcf(c_4323,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_1671,c_4158]) ).
tcf(c_4324,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))),
inference(superposition,[status(thm)],[c_1431,c_4158]) ).
tcf(c_4325,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_49,c_4158]) ).
tcf(c_4327,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top)))))),
inference(superposition,[status(thm)],[c_59,c_4158]) ).
tcf(c_4328,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1654,c_4158]) ).
tcf(c_4329,plain,
join(iPr_def_11,complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(top))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(top)))))),
inference(superposition,[status(thm)],[c_1754,c_4158]) ).
tcf(c_4330,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_252,c_4158]) ).
tcf(c_4331,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_349,c_4158]) ).
tcf(c_4332,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1429,c_4158]) ).
tcf(c_4333,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(X0,complement(composition(converse(X0),iPr_def_10))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_432,c_4158]) ).
tcf(c_4334,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_894,c_4158]) ).
tcf(c_4335,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_897,c_4158]) ).
tcf(c_4336,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,X0),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_1747,c_4158]) ).
tcf(c_4337,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(top,X0),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0))))))),
inference(superposition,[status(thm)],[c_1783,c_4158]) ).
tcf(c_4338,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1888,c_4158]) ).
tcf(c_4339,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_1897,c_4158]) ).
tcf(c_4340,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1901,c_4158]) ).
tcf(c_4341,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_1903,c_4158]) ).
tcf(c_4342,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2221,c_4158]) ).
tcf(c_4343,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2225,c_4158]) ).
tcf(c_4344,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_2231,c_4158]) ).
tcf(c_4345,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_2233,c_4158]) ).
tcf(c_4346,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2864,c_4158]) ).
tcf(c_4347,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2866,c_4158]) ).
tcf(c_4348,plain,
join(iPr_def_11,complement(join(iPr_def_12,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_3207,c_4158]) ).
tcf(c_4349,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_3214,c_4158]) ).
tcf(c_4350,plain,
join(iPr_def_11,complement(join(complement(iPr_def_12),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top)))))),
inference(superposition,[status(thm)],[c_4192,c_4158]) ).
tcf(c_4352,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),X1)) = join(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),X1),
inference(superposition,[status(thm)],[c_4158,c_50]) ).
tcf(c_4353,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4158,c_4158]) ).
tcf(c_4354,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4158,c_257]) ).
tcf(c_4355,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4158,c_1747]) ).
tcf(c_4356,plain,
! [X0: $i] : join(top,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(superposition,[status(thm)],[c_4158,c_365]) ).
tcf(c_4357,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4158,c_2233]) ).
tcf(c_4358,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4158,c_2866]) ).
tcf(c_4359,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4158,c_1903]) ).
tcf(c_4360,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4158,c_2864]) ).
tcf(c_4361,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(superposition,[status(thm)],[c_4158,c_2231]) ).
tcf(c_4362,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(superposition,[status(thm)],[c_4158,c_1901]) ).
tcf(c_4363,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4158,c_900]) ).
tcf(c_4364,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4158,c_1298]) ).
tcf(c_4365,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4158,c_2225]) ).
tcf(c_4366,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4158,c_2221]) ).
tcf(c_4367,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4158,c_897]) ).
tcf(c_4368,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4158,c_1897]) ).
tcf(c_4369,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4158,c_1888]) ).
tcf(c_4370,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4158,c_1280]) ).
tcf(c_4371,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4158,c_894]) ).
tcf(c_4372,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4158,c_705]) ).
tcf(c_4373,plain,
! [X0: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4158,c_233]) ).
tcf(c_4374,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(iPr_def_11)))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(superposition,[status(thm)],[c_4158,c_218]) ).
tcf(c_4375,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12)))))),
inference(theory_normalisation,[status(thm)],[c_4348,c_50,c_49]) ).
tcf(c_4376,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12)))))),
inference(light_normalisation,[status(thm)],[c_4375,c_1671]) ).
tcf(c_4377,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12)))))),
inference(theory_normalisation,[status(thm)],[c_4376,c_50,c_49]) ).
tcf(c_4379,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero)))))),
inference(theory_normalisation,[status(thm)],[c_4332,c_50,c_49]) ).
tcf(c_4381,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(top))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(top)))))),
inference(theory_normalisation,[status(thm)],[c_4329,c_50,c_49]) ).
tcf(c_4382,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,zero)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,zero))))),
inference(light_normalisation,[status(thm)],[c_4381,c_107]) ).
tcf(c_4383,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_10))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_4328,c_1671,c_1913]) ).
tcf(c_4384,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_4383,c_50,c_49]) ).
tcf(c_4386,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))),
inference(theory_normalisation,[status(thm)],[c_4324,c_50,c_49]) ).
tcf(c_4387,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))))),
inference(light_normalisation,[status(thm)],[c_4386,c_2961]) ).
tcf(c_4388,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_4323,c_50,c_49]) ).
tcf(c_4389,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_4388,c_1654,c_1671]) ).
tcf(c_4390,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_4389,c_50,c_49]) ).
tcf(c_4392,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_4322,c_50,c_49]) ).
tcf(c_4393,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero))))),
inference(light_normalisation,[status(thm)],[c_4392,c_107,c_209]) ).
tcf(c_4394,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))),
inference(theory_normalisation,[status(thm)],[c_4321,c_50,c_49]) ).
tcf(c_4396,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_10)))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_4320,c_1654,c_1671,c_1913]) ).
tcf(c_4397,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11)))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_4396,c_50,c_49]) ).
tcf(c_4399,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_10),complement(join(iPr_def_10,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_10),complement(join(iPr_def_10,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_4319,c_50,c_49]) ).
tcf(c_4400,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,zero))))),
inference(light_normalisation,[status(thm)],[c_4399,c_107,c_192,c_209]) ).
tcf(c_4401,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))))),
inference(light_normalisation,[status(thm)],[c_4318,c_1431,c_2961]) ).
tcf(c_4402,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_12),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12))))))),
inference(theory_normalisation,[status(thm)],[c_4350,c_50,c_49]) ).
tcf(c_4403,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_12),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_12)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_12))))))),
inference(light_normalisation,[status(thm)],[c_4402,c_107]) ).
tcf(c_4404,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_4327,c_50,c_49]) ).
tcf(c_4405,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,iPr_def_11))))),
inference(light_normalisation,[status(thm)],[c_4404,c_107,c_192,c_1671]) ).
tcf(c_4407,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4373,c_50,c_49]) ).
tcf(c_4408,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),X1)) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),X1)),
inference(theory_normalisation,[status(thm)],[c_4352,c_50,c_49]) ).
tcf(c_4409,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4349,c_50,c_49]) ).
tcf(c_4410,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4337,c_50,c_49]) ).
tcf(c_4411,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4336,c_50,c_49]) ).
tcf(c_4412,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4333,c_50,c_49]) ).
tcf(c_4413,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))),
inference(light_normalisation,[status(thm)],[c_4412,c_1671]) ).
tcf(c_4414,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4413,c_50,c_49]) ).
tcf(c_4415,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4331,c_50,c_49]) ).
tcf(c_4416,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))),
inference(light_normalisation,[status(thm)],[c_4415,c_1671]) ).
tcf(c_4417,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4416,c_50,c_49]) ).
tcf(c_4418,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4369,c_50,c_49]) ).
tcf(c_4419,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4366,c_50,c_49]) ).
tcf(c_4420,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(complement(iPr_def_11),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_4374,c_50,c_49]) ).
tcf(c_4421,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_10,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(light_normalisation,[status(thm)],[c_4420,c_1671]) ).
tcf(c_4422,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4354,c_50,c_49]) ).
tcf(c_4423,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))),
inference(theory_normalisation,[status(thm)],[c_4330,c_50,c_49]) ).
tcf(c_4424,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4370,c_50,c_49]) ).
tcf(c_4425,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_4338,c_50,c_49]) ).
tcf(c_4426,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4372,c_50,c_49]) ).
tcf(c_4427,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))),
inference(theory_normalisation,[status(thm)],[c_4342,c_50,c_49]) ).
tcf(c_4428,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_4365,c_50,c_49]) ).
tcf(c_4429,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_4371,c_50,c_49]) ).
tcf(c_4430,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_4368,c_50,c_49]) ).
tcf(c_4431,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_4367,c_50,c_49]) ).
tcf(c_4432,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4343,c_50,c_49]) ).
tcf(c_4433,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4364,c_50,c_49]) ).
tcf(c_4434,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4363,c_50,c_49]) ).
tcf(c_4435,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4339,c_50,c_49]) ).
tcf(c_4436,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4334,c_50,c_49]) ).
tcf(c_4437,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4335,c_50,c_49]) ).
tcf(c_4438,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4362,c_50,c_49]) ).
tcf(c_4439,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4361,c_50,c_49]) ).
tcf(c_4440,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4359,c_50,c_49]) ).
tcf(c_4441,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4353,c_50,c_49]) ).
tcf(c_4443,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4340,c_50,c_49]) ).
tcf(c_4444,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4357,c_50,c_49]) ).
tcf(c_4445,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_4360,c_50,c_49]) ).
tcf(c_4446,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4344,c_50,c_49]) ).
tcf(c_4447,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_4358,c_50,c_49]) ).
tcf(c_4448,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4341,c_50,c_49]) ).
tcf(c_4449,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4345,c_50,c_49]) ).
tcf(c_4450,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4346,c_50,c_49]) ).
tcf(c_4451,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4347,c_50,c_49]) ).
tcf(c_4491,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))),
inference(superposition,[status(thm)],[c_107,c_4160]) ).
tcf(c_4492,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_10))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))),
inference(superposition,[status(thm)],[c_192,c_4160]) ).
tcf(c_4493,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_1671,c_4160]) ).
tcf(c_4494,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))),
inference(superposition,[status(thm)],[c_1431,c_4160]) ).
tcf(c_4495,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_49,c_4160]) ).
tcf(c_4497,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top)))))),
inference(superposition,[status(thm)],[c_59,c_4160]) ).
tcf(c_4498,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1654,c_4160]) ).
tcf(c_4499,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(top)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(top)))))),
inference(superposition,[status(thm)],[c_1754,c_4160]) ).
tcf(c_4500,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_252,c_4160]) ).
tcf(c_4501,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_349,c_4160]) ).
tcf(c_4502,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1429,c_4160]) ).
tcf(c_4503,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_432,c_4160]) ).
tcf(c_4504,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_894,c_4160]) ).
tcf(c_4505,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_897,c_4160]) ).
tcf(c_4506,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_1747,c_4160]) ).
tcf(c_4507,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0))))))),
inference(superposition,[status(thm)],[c_1783,c_4160]) ).
tcf(c_4508,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1888,c_4160]) ).
tcf(c_4509,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_1897,c_4160]) ).
tcf(c_4510,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_1901,c_4160]) ).
tcf(c_4511,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_1903,c_4160]) ).
tcf(c_4512,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2221,c_4160]) ).
tcf(c_4513,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2225,c_4160]) ).
tcf(c_4514,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(superposition,[status(thm)],[c_2231,c_4160]) ).
tcf(c_4515,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(superposition,[status(thm)],[c_2233,c_4160]) ).
tcf(c_4516,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2864,c_4160]) ).
tcf(c_4517,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_2866,c_4160]) ).
tcf(c_4518,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_3207,c_4160]) ).
tcf(c_4519,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_3214,c_4160]) ).
tcf(c_4520,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top)))))),
inference(superposition,[status(thm)],[c_4192,c_4160]) ).
tcf(c_4521,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4158,c_4160]) ).
tcf(c_4523,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),X1)) = join(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),X1),
inference(superposition,[status(thm)],[c_4160,c_50]) ).
tcf(c_4524,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4160,c_4160]) ).
tcf(c_4525,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4160,c_4158]) ).
tcf(c_4526,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4160,c_257]) ).
tcf(c_4528,plain,
! [X0: $i] : join(top,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(superposition,[status(thm)],[c_4160,c_365]) ).
tcf(c_4529,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4160,c_2233]) ).
tcf(c_4530,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4160,c_2866]) ).
tcf(c_4531,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(superposition,[status(thm)],[c_4160,c_1903]) ).
tcf(c_4532,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4160,c_2864]) ).
tcf(c_4533,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(superposition,[status(thm)],[c_4160,c_2231]) ).
tcf(c_4534,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(superposition,[status(thm)],[c_4160,c_1901]) ).
tcf(c_4535,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4160,c_900]) ).
tcf(c_4536,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4160,c_1298]) ).
tcf(c_4537,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4160,c_2225]) ).
tcf(c_4538,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4160,c_2221]) ).
tcf(c_4539,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4160,c_897]) ).
tcf(c_4540,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4160,c_1897]) ).
tcf(c_4541,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4160,c_1888]) ).
tcf(c_4542,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4160,c_1280]) ).
tcf(c_4543,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_4160,c_894]) ).
tcf(c_4544,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4160,c_705]) ).
tcf(c_4545,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4160,c_233]) ).
tcf(c_4546,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),complement(iPr_def_11)))) = join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),
inference(superposition,[status(thm)],[c_4160,c_218]) ).
tcf(c_4547,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12)))))),
inference(theory_normalisation,[status(thm)],[c_4518,c_50,c_49]) ).
tcf(c_4548,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12)))))),
inference(light_normalisation,[status(thm)],[c_4547,c_192,c_1671]) ).
tcf(c_4549,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12)))))),
inference(theory_normalisation,[status(thm)],[c_4548,c_50,c_49]) ).
tcf(c_4551,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero)))))),
inference(theory_normalisation,[status(thm)],[c_4502,c_50,c_49]) ).
tcf(c_4553,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,zero))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,zero))))),
inference(light_normalisation,[status(thm)],[c_4499,c_107,c_1431]) ).
tcf(c_4563,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12))))))),
inference(theory_normalisation,[status(thm)],[c_4520,c_50,c_49]) ).
tcf(c_4564,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_12))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_12))))))),
inference(light_normalisation,[status(thm)],[c_4563,c_107,c_1431]) ).
tcf(c_4565,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_4497,c_50,c_49]) ).
tcf(c_4566,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,iPr_def_11))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,iPr_def_11))))),
inference(light_normalisation,[status(thm)],[c_4565,c_107,c_192,c_1431,c_1671]) ).
tcf(c_4573,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,zero))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))))),
inference(light_normalisation,[status(thm)],[c_4494,c_2961]) ).
tcf(c_4574,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_4493,c_50,c_49]) ).
tcf(c_4575,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_4574,c_192,c_1654,c_1671]) ).
tcf(c_4576,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_4575,c_50,c_49]) ).
tcf(c_4578,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_4492,c_50,c_49]) ).
tcf(c_4581,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4545,c_50,c_49]) ).
tcf(c_4582,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),X1)) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),X1)),
inference(theory_normalisation,[status(thm)],[c_4523,c_50,c_49]) ).
tcf(c_4583,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4519,c_50,c_49]) ).
tcf(c_4585,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4503,c_50,c_49]) ).
tcf(c_4586,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))),
inference(light_normalisation,[status(thm)],[c_4585,c_192,c_1671]) ).
tcf(c_4587,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4586,c_50,c_49]) ).
tcf(c_4588,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4501,c_50,c_49]) ).
tcf(c_4589,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))),
inference(light_normalisation,[status(thm)],[c_4588,c_192,c_1671]) ).
tcf(c_4590,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))),
inference(theory_normalisation,[status(thm)],[c_4589,c_50,c_49]) ).
tcf(c_4597,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4541,c_50,c_49]) ).
tcf(c_4598,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))),
inference(theory_normalisation,[status(thm)],[c_4500,c_50,c_49]) ).
tcf(c_4600,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4538,c_50,c_49]) ).
tcf(c_4601,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_4508,c_50,c_49]) ).
tcf(c_4603,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(complement(iPr_def_11),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_4546,c_50,c_49]) ).
tcf(c_4604,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_10,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),
inference(light_normalisation,[status(thm)],[c_4603,c_1671]) ).
tcf(c_4605,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4526,c_50,c_49]) ).
tcf(c_4606,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))),
inference(theory_normalisation,[status(thm)],[c_4512,c_50,c_49]) ).
tcf(c_4608,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4542,c_50,c_49]) ).
tcf(c_4609,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4544,c_50,c_49]) ).
tcf(c_4610,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4513,c_50,c_49]) ).
tcf(c_4612,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4509,c_50,c_49]) ).
tcf(c_4613,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4504,c_50,c_49]) ).
tcf(c_4616,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4505,c_50,c_49]) ).
tcf(c_4618,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_4537,c_50,c_49]) ).
tcf(c_4619,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_4543,c_50,c_49]) ).
tcf(c_4620,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_4540,c_50,c_49]) ).
tcf(c_4621,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_4539,c_50,c_49]) ).
tcf(c_4622,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4536,c_50,c_49]) ).
tcf(c_4623,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4516,c_50,c_49]) ).
tcf(c_4625,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4535,c_50,c_49]) ).
tcf(c_4626,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4521,c_50,c_49]) ).
tcf(c_4627,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4517,c_50,c_49]) ).
tcf(c_4628,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4510,c_50,c_49]) ).
tcf(c_4632,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4524,c_50,c_49]) ).
tcf(c_4634,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4514,c_50,c_49]) ).
tcf(c_4637,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4534,c_50,c_49]) ).
tcf(c_4638,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4533,c_50,c_49]) ).
tcf(c_4639,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4511,c_50,c_49]) ).
tcf(c_4641,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4531,c_50,c_49]) ).
tcf(c_4642,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4525,c_50,c_49]) ).
tcf(c_4643,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4529,c_50,c_49]) ).
tcf(c_4644,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_4515,c_50,c_49]) ).
tcf(c_4646,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_4532,c_50,c_49]) ).
tcf(c_4647,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_4530,c_50,c_49]) ).
tcf(c_4664,plain,
join(zero,complement(join(iPr_def_10,complement(join(iPr_def_11,join(zero,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero)))))))))))) = join(iPr_def_11,join(zero,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero)))))))),
inference(light_normalisation,[status(thm)],[c_864,c_107,c_1671,c_1754]) ).
tcf(c_4665,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4023,c_52,c_448,c_556]) ).
tcf(c_4666,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_4665,c_50]) ).
tcf(c_4668,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_4665,c_392]) ).
tcf(c_4669,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4668,c_193]) ).
tcf(c_4671,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4048,c_52,c_448,c_556]) ).
tcf(c_4672,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_4671]) ).
tcf(c_4673,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_4671]) ).
tcf(c_4674,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_4671]) ).
tcf(c_4675,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_4671]) ).
tcf(c_4676,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_4671]) ).
tcf(c_4677,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_4671]) ).
tcf(c_4678,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_4671]) ).
tcf(c_4679,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_4671]) ).
tcf(c_4680,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_4671]) ).
tcf(c_4681,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_4671]) ).
tcf(c_4682,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_4671]) ).
tcf(c_4683,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_4671]) ).
tcf(c_4684,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2353,c_4671]) ).
tcf(c_4685,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2359,c_4671]) ).
tcf(c_4686,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_4671]) ).
tcf(c_4687,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_4671]) ).
tcf(c_4688,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_4671]) ).
tcf(c_4689,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_4671,c_50]) ).
tcf(c_4691,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_4671,c_392]) ).
tcf(c_4692,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4688,c_1671,c_1689]) ).
tcf(c_4693,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4687,c_1431]) ).
tcf(c_4694,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4691,c_193]) ).
tcf(c_4695,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4669,c_52,c_448,c_556]) ).
tcf(c_4696,plain,
! [X0: $i] : join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_4695,c_50]) ).
tcf(c_4698,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_4695,c_392]) ).
tcf(c_4699,plain,
join(iPr_def_10,composition(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4698,c_193]) ).
tcf(c_4700,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_260,c_192,c_1671]) ).
tcf(c_4706,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_50,c_4183]) ).
tcf(c_4708,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_4183,c_50]) ).
tcf(c_4709,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4183,c_4160]) ).
tcf(c_4710,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4183,c_4158]) ).
tcf(c_4711,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4183,c_257]) ).
tcf(c_4714,plain,
join(iPr_def_11,iPr_def_11) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_4183,c_1747]) ).
tcf(c_4715,plain,
join(top,iPr_def_12) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_4183,c_1783]) ).
tcf(c_4716,plain,
join(iPr_def_11,top) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_4715,c_50,c_49]) ).
tcf(c_4723,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_4708,c_50,c_49]) ).
tcf(c_4724,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_12,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4710,c_50,c_49]) ).
tcf(c_4732,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(superposition,[status(thm)],[c_49,c_360]) ).
tcf(c_4734,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_360]) ).
tcf(c_4735,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(X0),complement(composition(X0,X1)))) = join(X1,complement(X1)),
inference(superposition,[status(thm)],[c_76,c_360]) ).
tcf(c_4736,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(complement(X1),X0),X1),
inference(superposition,[status(thm)],[c_217,c_360]) ).
tcf(c_4737,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(X1,complement(X0)),X0),
inference(superposition,[status(thm)],[c_218,c_360]) ).
tcf(c_4738,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(X0)))) = join(join(X0,iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_233,c_360]) ).
tcf(c_4739,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = join(join(iPr_def_11,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_257,c_360]) ).
tcf(c_4741,plain,
! [X0: $i] : join(X0,complement(X0)) = join(top,zero),
inference(superposition,[status(thm)],[c_1429,c_360]) ).
tcf(c_4742,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(join(X0,iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_705,c_360]) ).
tcf(c_4743,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(join(X0,iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_900,c_360]) ).
tcf(c_4744,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = join(join(X0,iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_1280,c_360]) ).
tcf(c_4745,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(join(X0,iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_1298,c_360]) ).
tcf(c_4751,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_360,c_50]) ).
tcf(c_4752,plain,
! [X0: $i,X1: $i] : join(top,join(complement(complement(X0)),X1)) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_360,c_360]) ).
tcf(c_4753,plain,
! [X0: $i,X1: $i] : join(complement(join(top,X0)),complement(join(complement(join(complement(complement(X1)),X0)),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_360,c_217]) ).
tcf(c_4754,plain,
! [X0: $i] : join(complement(zero),X0) = join(top,X0),
inference(superposition,[status(thm)],[c_360,c_1336]) ).
tcf(c_4755,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0))))))),
inference(superposition,[status(thm)],[c_360,c_4160]) ).
tcf(c_4756,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0))))))),
inference(superposition,[status(thm)],[c_360,c_4158]) ).
tcf(c_4757,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_360,c_257]) ).
tcf(c_4760,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(complement(converse(X0)),X1))) = converse(join(top,X1)),
inference(superposition,[status(thm)],[c_360,c_221]) ).
tcf(c_4761,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,iPr_def_11)))))))))) = join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,iPr_def_11)))))),
inference(superposition,[status(thm)],[c_360,c_4160]) ).
tcf(c_4762,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,iPr_def_11)))))),
inference(superposition,[status(thm)],[c_360,c_4158]) ).
tcf(c_4763,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(top,complement(join(iPr_def_11,iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_360,c_257]) ).
tcf(c_4764,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,iPr_def_11))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_360,c_252]) ).
tcf(c_4766,plain,
! [X0: $i] : join(top,converse(join(complement(top),X0))) = converse(join(top,X0)),
inference(superposition,[status(thm)],[c_360,c_2353]) ).
tcf(c_4771,plain,
! [X0: $i] : join(iPr_def_10,composition(join(complement(iPr_def_10),X0),top)) = composition(join(top,X0),top),
inference(superposition,[status(thm)],[c_360,c_392]) ).
tcf(c_4772,plain,
join(top,complement(iPr_def_10)) = join(top,iPr_def_11),
inference(superposition,[status(thm)],[c_360,c_454]) ).
tcf(c_4773,plain,
join(complement(top),top) = join(top,top),
inference(superposition,[status(thm)],[c_360,c_1313]) ).
tcf(c_4774,plain,
! [X0: $i] : join(one,converse(join(complement(one),X0))) = converse(join(top,X0)),
inference(superposition,[status(thm)],[c_360,c_1723]) ).
tcf(c_4775,plain,
join(complement(iPr_def_10),iPr_def_10) = join(top,iPr_def_10),
inference(superposition,[status(thm)],[c_360,c_2696]) ).
tcf(c_4776,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),X0)) = join(iPr_def_11,join(top,X0)),
inference(superposition,[status(thm)],[c_360,c_3214]) ).
tcf(c_4777,plain,
join(iPr_def_11,complement(iPr_def_11)) = join(top,iPr_def_12),
inference(superposition,[status(thm)],[c_360,c_4183]) ).
tcf(c_4778,plain,
join(iPr_def_11,complement(iPr_def_11)) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_4777,c_50,c_49]) ).
tcf(c_4781,plain,
join(iPr_def_10,complement(iPr_def_10)) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_4775,c_50,c_49]) ).
tcf(c_4783,plain,
join(top,complement(top)) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_4773,c_50,c_49]) ).
tcf(c_4785,plain,
join(top,complement(iPr_def_10)) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_4772,c_50,c_49]) ).
tcf(c_4786,plain,
join(top,iPr_def_11) = top,
inference(light_normalisation,[status(thm)],[c_4785,c_192,c_1754]) ).
tcf(c_4804,plain,
! [X0: $i] : join(one,converse(join(complement(one),X0))) = join(top,converse(X0)),
inference(light_normalisation,[status(thm)],[c_4774,c_2353]) ).
tcf(c_4807,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(X0)))) = join(X0,join(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_4738,c_50,c_49]) ).
tcf(c_4808,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(X0)))) = join(X0,top),
inference(light_normalisation,[status(thm)],[c_4807,c_209]) ).
tcf(c_4811,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(X1,join(X0,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_4737,c_50,c_49]) ).
tcf(c_4812,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(X1,top),
inference(light_normalisation,[status(thm)],[c_4811,c_59]) ).
tcf(c_4813,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),complement(X1)))) = join(X1,join(X0,complement(X1))),
inference(theory_normalisation,[status(thm)],[c_4736,c_50,c_49]) ).
tcf(c_4814,plain,
! [X0: $i,X1: $i] : join(complement(join(top,X0)),complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))) = X1,
inference(theory_normalisation,[status(thm)],[c_4753,c_50,c_49]) ).
tcf(c_4816,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = join(X0,join(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_4744,c_50,c_49]) ).
tcf(c_4817,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = join(X0,top),
inference(light_normalisation,[status(thm)],[c_4816,c_209]) ).
tcf(c_4818,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_4739,c_50,c_49]) ).
tcf(c_4819,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_4818,c_454]) ).
tcf(c_4820,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4757,c_50,c_49]) ).
tcf(c_4821,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_4820,c_1671]) ).
tcf(c_4822,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4821,c_50,c_49]) ).
tcf(c_4823,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(X0,join(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_4742,c_50,c_49]) ).
tcf(c_4824,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = join(X0,top),
inference(light_normalisation,[status(thm)],[c_4823,c_209]) ).
tcf(c_4827,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(X0,join(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_4745,c_50,c_49]) ).
tcf(c_4828,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(X0,top),
inference(light_normalisation,[status(thm)],[c_4827,c_209]) ).
tcf(c_4829,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,join(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_4743,c_50,c_49]) ).
tcf(c_4830,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,top),
inference(light_normalisation,[status(thm)],[c_4829,c_209]) ).
tcf(c_4831,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0))))))),
inference(theory_normalisation,[status(thm)],[c_4755,c_50,c_49]) ).
tcf(c_4832,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0))))))),
inference(light_normalisation,[status(thm)],[c_4831,c_1671]) ).
tcf(c_4833,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4832,c_50,c_49]) ).
tcf(c_4834,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(complement(iPr_def_11),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0))))))),
inference(theory_normalisation,[status(thm)],[c_4756,c_50,c_49]) ).
tcf(c_4835,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0))))))),
inference(light_normalisation,[status(thm)],[c_4834,c_1671]) ).
tcf(c_4836,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0))))))),
inference(theory_normalisation,[status(thm)],[c_4835,c_50,c_49]) ).
tcf(c_4865,plain,
join(top,complement(top)) = join(zero,top),
inference(superposition,[status(thm)],[c_1431,c_4734]) ).
tcf(c_4867,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(complement(complement(X0)),complement(top)))) = complement(X0),
inference(superposition,[status(thm)],[c_4734,c_218]) ).
tcf(c_4869,plain,
! [X0: $i] : join(top,converse(complement(complement(X0)))) = converse(join(X0,top)),
inference(superposition,[status(thm)],[c_4734,c_2353]) ).
tcf(c_4873,plain,
join(top,complement(top)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_4865,c_50,c_49]) ).
tcf(c_4875,plain,
! [X0: $i] : join(top,converse(complement(complement(X0)))) = join(top,converse(X0)),
inference(light_normalisation,[status(thm)],[c_4869,c_2359]) ).
tcf(c_4877,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(complement(top),complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_4867,c_50,c_49]) ).
tcf(c_4878,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(zero,complement(complement(X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_4877,c_107]) ).
tcf(c_4892,plain,
! [X0: $i] : join(X0,complement(join(X0,zero))) = top,
inference(superposition,[status(thm)],[c_1336,c_375]) ).
tcf(c_4893,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X1,X0)))) = top,
inference(superposition,[status(thm)],[c_49,c_375]) ).
tcf(c_4896,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_54,c_375]) ).
tcf(c_4897,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(converse(X1),complement(converse(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_56,c_375]) ).
tcf(c_4898,plain,
! [X0: $i] : join(X0,join(complement(X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_59,c_375]) ).
tcf(c_4899,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_76,c_375]) ).
tcf(c_4900,plain,
! [X0: $i] : join(zero,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_1336,c_375]) ).
tcf(c_4901,plain,
join(iPr_def_10,join(iPr_def_11,complement(top))) = top,
inference(superposition,[status(thm)],[c_209,c_375]) ).
tcf(c_4902,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_217,c_375]) ).
tcf(c_4903,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_218,c_375]) ).
tcf(c_4904,plain,
join(iPr_def_11,join(iPr_def_11,complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1654,c_375]) ).
tcf(c_4905,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_233,c_375]) ).
tcf(c_4906,plain,
join(iPr_def_11,join(top,complement(top))) = top,
inference(superposition,[status(thm)],[c_1754,c_375]) ).
tcf(c_4907,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_252,c_375]) ).
tcf(c_4908,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_257,c_375]) ).
tcf(c_4909,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_349,c_375]) ).
tcf(c_4911,plain,
! [X0: $i,X1: $i] : join(X0,join(join(complement(X0),X1),complement(join(top,X1)))) = top,
inference(superposition,[status(thm)],[c_360,c_375]) ).
tcf(c_4912,plain,
! [X0: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_365,c_375]) ).
tcf(c_4913,plain,
! [X0: $i] : join(X0,join(zero,complement(X0))) = top,
inference(superposition,[status(thm)],[c_1429,c_375]) ).
tcf(c_4914,plain,
join(top,join(top,complement(top))) = top,
inference(superposition,[status(thm)],[c_1050,c_375]) ).
tcf(c_4915,plain,
join(iPr_def_10,join(top,complement(top))) = top,
inference(superposition,[status(thm)],[c_1786,c_375]) ).
tcf(c_4916,plain,
! [X0: $i] : join(top,join(join(top,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_1057,c_375]) ).
tcf(c_4917,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_432,c_375]) ).
tcf(c_4918,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_454,c_375]) ).
tcf(c_4919,plain,
join(iPr_def_10,join(iPr_def_10,complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1913,c_375]) ).
tcf(c_4920,plain,
! [X0: $i] : join(top,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),complement(top))) = top,
inference(superposition,[status(thm)],[c_488,c_375]) ).
tcf(c_4921,plain,
! [X0: $i] : join(iPr_def_10,join(join(top,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_1918,c_375]) ).
tcf(c_4922,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_705,c_375]) ).
tcf(c_4923,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_894,c_375]) ).
tcf(c_4924,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_897,c_375]) ).
tcf(c_4925,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_900,c_375]) ).
tcf(c_4926,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_1747,c_375]) ).
tcf(c_4927,plain,
! [X0: $i] : join(iPr_def_11,join(join(top,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_1783,c_375]) ).
tcf(c_4928,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1280,c_375]) ).
tcf(c_4929,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1298,c_375]) ).
tcf(c_4930,plain,
! [X0: $i] : join(top,join(join(X0,top),complement(join(X0,top)))) = top,
inference(superposition,[status(thm)],[c_1313,c_375]) ).
tcf(c_4931,plain,
join(iPr_def_10,join(composition(zero,top),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1443,c_375]) ).
tcf(c_4932,plain,
! [X0: $i] : join(top,join(complement(complement(X0)),complement(join(X0,top)))) = top,
inference(superposition,[status(thm)],[c_4734,c_375]) ).
tcf(c_4933,plain,
join(iPr_def_10,join(composition(zero,join(iPr_def_10,iPr_def_12)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1578,c_375]) ).
tcf(c_4934,plain,
join(iPr_def_10,join(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1598,c_375]) ).
tcf(c_4935,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1602,c_375]) ).
tcf(c_4936,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1606,c_375]) ).
tcf(c_4937,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1610,c_375]) ).
tcf(c_4938,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1614,c_375]) ).
tcf(c_4939,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1831,c_375]) ).
tcf(c_4940,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),complement(join(iPr_def_11,complement(X0))))) = top,
inference(superposition,[status(thm)],[c_1888,c_375]) ).
tcf(c_4941,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_1897,c_375]) ).
tcf(c_4942,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = top,
inference(superposition,[status(thm)],[c_1901,c_375]) ).
tcf(c_4943,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = top,
inference(superposition,[status(thm)],[c_1903,c_375]) ).
tcf(c_4944,plain,
! [X0: $i] : join(iPr_def_10,join(join(iPr_def_10,X0),complement(join(iPr_def_10,X0)))) = top,
inference(superposition,[status(thm)],[c_1914,c_375]) ).
tcf(c_4945,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2029,c_375]) ).
tcf(c_4946,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2033,c_375]) ).
tcf(c_4947,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2101,c_375]) ).
tcf(c_4948,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),complement(join(iPr_def_11,complement(X0))))) = top,
inference(superposition,[status(thm)],[c_2221,c_375]) ).
tcf(c_4949,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_2225,c_375]) ).
tcf(c_4950,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = top,
inference(superposition,[status(thm)],[c_2231,c_375]) ).
tcf(c_4951,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = top,
inference(superposition,[status(thm)],[c_2233,c_375]) ).
tcf(c_4952,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2528,c_375]) ).
tcf(c_4953,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2547,c_375]) ).
tcf(c_4954,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2552,c_375]) ).
tcf(c_4955,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2571,c_375]) ).
tcf(c_4956,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2576,c_375]) ).
tcf(c_4957,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_2696,c_375]) ).
tcf(c_4958,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2782,c_375]) ).
tcf(c_4959,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2788,c_375]) ).
tcf(c_4960,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_2864,c_375]) ).
tcf(c_4961,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_2866,c_375]) ).
tcf(c_4962,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2986,c_375]) ).
tcf(c_4963,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_2992,c_375]) ).
tcf(c_4964,plain,
join(iPr_def_11,join(iPr_def_12,complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_3207,c_375]) ).
tcf(c_4965,plain,
join(iPr_def_12,join(top,complement(top))) = top,
inference(superposition,[status(thm)],[c_3209,c_375]) ).
tcf(c_4966,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_3214,c_375]) ).
tcf(c_4967,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3219,c_375]) ).
tcf(c_4968,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3225,c_375]) ).
tcf(c_4969,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3466,c_375]) ).
tcf(c_4970,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3472,c_375]) ).
tcf(c_4971,plain,
join(top,join(converse(iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_3851,c_375]) ).
tcf(c_4972,plain,
join(top,join(converse(iPr_def_10),complement(top))) = top,
inference(superposition,[status(thm)],[c_3850,c_375]) ).
tcf(c_4973,plain,
! [X0: $i] : join(iPr_def_12,join(join(top,X0),complement(join(top,X0)))) = top,
inference(superposition,[status(thm)],[c_3874,c_375]) ).
tcf(c_4974,plain,
join(top,join(converse(iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_3877,c_375]) ).
tcf(c_4975,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3905,c_375]) ).
tcf(c_4976,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3911,c_375]) ).
tcf(c_4977,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3935,c_375]) ).
tcf(c_4978,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3941,c_375]) ).
tcf(c_4979,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3965,c_375]) ).
tcf(c_4980,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_3971,c_375]) ).
tcf(c_4981,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_4019,c_375]) ).
tcf(c_4982,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_4025,c_375]) ).
tcf(c_4983,plain,
join(iPr_def_11,join(complement(iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_4192,c_375]) ).
tcf(c_4984,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))) = top,
inference(superposition,[status(thm)],[c_4158,c_375]) ).
tcf(c_4985,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))) = top,
inference(superposition,[status(thm)],[c_4160,c_375]) ).
tcf(c_4986,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_4183,c_375]) ).
tcf(c_4987,plain,
join(top,join(complement(iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_4236,c_375]) ).
tcf(c_4988,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_4665,c_375]) ).
tcf(c_4989,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_4671,c_375]) ).
tcf(c_4990,plain,
join(iPr_def_10,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_4695,c_375]) ).
tcf(c_4991,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(join(X0,X1))),complement(top))) = top,
inference(superposition,[status(thm)],[c_375,c_375]) ).
tcf(c_4993,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_375,c_50]) ).
tcf(c_4994,plain,
! [X0: $i,X1: $i] : join(top,join(X0,complement(join(complement(X1),X0)))) = join(X1,top),
inference(superposition,[status(thm)],[c_375,c_360]) ).
tcf(c_4995,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(join(X0,complement(join(complement(X1),X0)))),complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_375,c_217]) ).
tcf(c_4996,plain,
! [X0: $i] : join(X0,complement(join(zero,X0))) = top,
inference(superposition,[status(thm)],[c_375,c_1336]) ).
tcf(c_4997,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top)))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top)))))),
inference(superposition,[status(thm)],[c_375,c_4160]) ).
tcf(c_4998,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top)))))),
inference(superposition,[status(thm)],[c_375,c_4158]) ).
tcf(c_4999,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_375,c_257]) ).
tcf(c_5001,plain,
! [X0: $i] : join(top,join(X0,complement(join(iPr_def_11,X0)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_375,c_365]) ).
tcf(c_5002,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(join(converse(X0),X1))))) = converse(top),
inference(superposition,[status(thm)],[c_375,c_221]) ).
tcf(c_5003,plain,
! [X0: $i] : join(top,complement(join(X0,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_375,c_360]) ).
tcf(c_5005,plain,
! [X0: $i] : join(top,converse(join(X0,complement(join(top,X0))))) = converse(top),
inference(superposition,[status(thm)],[c_375,c_2353]) ).
tcf(c_5009,plain,
join(top,complement(join(iPr_def_10,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_375,c_365]) ).
tcf(c_5011,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(join(iPr_def_10,X0))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_375,c_392]) ).
tcf(c_5013,plain,
join(top,complement(join(iPr_def_10,top))) = top,
inference(superposition,[status(thm)],[c_375,c_1918]) ).
tcf(c_5015,plain,
join(top,complement(join(iPr_def_11,top))) = top,
inference(superposition,[status(thm)],[c_375,c_1783]) ).
tcf(c_5016,plain,
! [X0: $i] : join(one,converse(join(X0,complement(join(one,X0))))) = converse(top),
inference(superposition,[status(thm)],[c_375,c_1723]) ).
tcf(c_5017,plain,
join(iPr_def_10,complement(join(iPr_def_10,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_375,c_1914]) ).
tcf(c_5018,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_375,c_3214]) ).
tcf(c_5019,plain,
join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_375,c_3214]) ).
tcf(c_5020,plain,
join(top,complement(join(iPr_def_12,top))) = top,
inference(superposition,[status(thm)],[c_375,c_3874]) ).
tcf(c_5029,plain,
join(iPr_def_12,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_4965,c_107]) ).
tcf(c_5030,plain,
join(iPr_def_11,join(iPr_def_12,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_4964,c_1671]) ).
tcf(c_5031,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_12)) = top,
inference(theory_normalisation,[status(thm)],[c_5030,c_50,c_49]) ).
tcf(c_5034,plain,
join(iPr_def_10,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_4915,c_107]) ).
tcf(c_5035,plain,
join(top,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_4914,c_107]) ).
tcf(c_5036,plain,
join(iPr_def_11,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_4906,c_107]) ).
tcf(c_5037,plain,
join(iPr_def_11,join(iPr_def_11,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_4904,c_1671]) ).
tcf(c_5040,plain,
join(iPr_def_10,join(iPr_def_11,zero)) = top,
inference(light_normalisation,[status(thm)],[c_4901,c_107]) ).
tcf(c_5041,plain,
join(zero,top) = top,
inference(light_normalisation,[status(thm)],[c_4900,c_59]) ).
tcf(c_5044,plain,
join(top,join(complement(iPr_def_12),zero)) = top,
inference(light_normalisation,[status(thm)],[c_4987,c_107]) ).
tcf(c_5045,plain,
join(top,join(zero,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_5044,c_50,c_49]) ).
tcf(c_5046,plain,
join(iPr_def_11,join(complement(iPr_def_12),zero)) = top,
inference(light_normalisation,[status(thm)],[c_4983,c_107]) ).
tcf(c_5047,plain,
join(iPr_def_11,join(zero,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_5046,c_50,c_49]) ).
tcf(c_5048,plain,
join(top,join(complement(top),converse(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_4974,c_50,c_49]) ).
tcf(c_5049,plain,
join(top,join(zero,converse(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_5048,c_107]) ).
tcf(c_5050,plain,
join(top,join(complement(top),converse(iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_4972,c_50,c_49]) ).
tcf(c_5051,plain,
join(top,join(zero,converse(iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_5050,c_107]) ).
tcf(c_5052,plain,
join(top,join(complement(top),converse(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_4971,c_50,c_49]) ).
tcf(c_5053,plain,
join(top,join(zero,converse(iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_5052,c_107]) ).
tcf(c_5054,plain,
! [X0: $i] : join(X0,join(complement(X0),zero)) = top,
inference(light_normalisation,[status(thm)],[c_4898,c_107]) ).
tcf(c_5056,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,top))) = top,
inference(theory_normalisation,[status(thm)],[c_4931,c_50,c_49]) ).
tcf(c_5057,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,top))) = top,
inference(light_normalisation,[status(thm)],[c_5056,c_192]) ).
tcf(c_5058,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_12,X0)))) = top,
inference(light_normalisation,[status(thm)],[c_5018,c_1754]) ).
tcf(c_5059,plain,
! [X0: $i] : join(one,converse(join(X0,complement(join(one,X0))))) = top,
inference(light_normalisation,[status(thm)],[c_5016,c_2343]) ).
tcf(c_5060,plain,
! [X0: $i] : join(top,converse(join(X0,complement(join(top,X0))))) = top,
inference(light_normalisation,[status(thm)],[c_5005,c_2343]) ).
tcf(c_5061,plain,
! [X0: $i] : join(top,join(X0,complement(join(iPr_def_11,X0)))) = top,
inference(light_normalisation,[status(thm)],[c_5001,c_1786]) ).
tcf(c_5062,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_4986,c_50,c_49]) ).
tcf(c_5063,plain,
! [X0: $i] : join(iPr_def_12,join(top,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4973,c_50,c_49]) ).
tcf(c_5064,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_4966,c_50,c_49]) ).
tcf(c_5065,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_4957,c_50,c_49]) ).
tcf(c_5066,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,join(X0,complement(join(iPr_def_10,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4944,c_50,c_49]) ).
tcf(c_5067,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,join(iPr_def_10,iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_4933,c_50,c_49]) ).
tcf(c_5068,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,join(iPr_def_10,iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_5067,c_192]) ).
tcf(c_5069,plain,
! [X0: $i] : join(top,join(X0,join(top,complement(join(X0,top))))) = top,
inference(theory_normalisation,[status(thm)],[c_4930,c_50,c_49]) ).
tcf(c_5070,plain,
! [X0: $i] : join(iPr_def_11,join(top,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4927,c_50,c_49]) ).
tcf(c_5071,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_4926,c_50,c_49]) ).
tcf(c_5072,plain,
! [X0: $i] : join(iPr_def_10,join(top,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4921,c_50,c_49]) ).
tcf(c_5073,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4918,c_50,c_49]) ).
tcf(c_5074,plain,
! [X0: $i] : join(top,join(top,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4916,c_50,c_49]) ).
tcf(c_5075,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(join(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4912,c_50,c_49]) ).
tcf(c_5076,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(join(converse(X0),X1))))) = top,
inference(light_normalisation,[status(thm)],[c_5002,c_2343]) ).
tcf(c_5077,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(top),complement(join(X0,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_4991,c_50,c_49]) ).
tcf(c_5078,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,complement(join(X0,X1))))) = top,
inference(light_normalisation,[status(thm)],[c_5077,c_107]) ).
tcf(c_5079,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),join(X1,complement(join(top,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_4911,c_50,c_49]) ).
tcf(c_5082,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(join(iPr_def_10,X0))),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_5011,c_448]) ).
tcf(c_5083,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_4993,c_50,c_49]) ).
tcf(c_5085,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,join(iPr_def_10,iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_4934,c_50,c_49]) ).
tcf(c_5086,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,join(iPr_def_10,iPr_def_12))))) = top,
inference(light_normalisation,[status(thm)],[c_5085,c_192]) ).
tcf(c_5087,plain,
! [X0: $i] : join(top,join(complement(top),composition(X0,complement(composition(converse(X0),iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_4920,c_50,c_49]) ).
tcf(c_5088,plain,
! [X0: $i] : join(top,join(zero,composition(X0,complement(composition(converse(X0),iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_5087,c_107]) ).
tcf(c_5089,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_4917,c_50,c_49]) ).
tcf(c_5090,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_5089,c_1671]) ).
tcf(c_5091,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_5090,c_50,c_49]) ).
tcf(c_5093,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_4909,c_50,c_49]) ).
tcf(c_5094,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_5093,c_1671]) ).
tcf(c_5095,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_5094,c_50,c_49]) ).
tcf(c_5099,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_4905,c_50,c_49]) ).
tcf(c_5102,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_4935,c_50,c_49]) ).
tcf(c_5103,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = top,
inference(light_normalisation,[status(thm)],[c_5102,c_192]) ).
tcf(c_5104,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_4899,c_50,c_49]) ).
tcf(c_5105,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_4995,c_50,c_49]) ).
tcf(c_5106,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_5105,c_107]) ).
tcf(c_5107,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_4903,c_50,c_49]) ).
tcf(c_5108,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_4902,c_50,c_49]) ).
tcf(c_5109,plain,
! [X0: $i] : join(complement(X0),X0) = top,
inference(light_normalisation,[status(thm)],[c_5108,c_217]) ).
tcf(c_5111,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4936,c_50,c_49]) ).
tcf(c_5112,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = top,
inference(light_normalisation,[status(thm)],[c_5111,c_192]) ).
tcf(c_5113,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4907,c_50,c_49]) ).
tcf(c_5114,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4940,c_50,c_49]) ).
tcf(c_5115,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4937,c_50,c_49]) ).
tcf(c_5116,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = top,
inference(light_normalisation,[status(thm)],[c_5115,c_192]) ).
tcf(c_5117,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_4999,c_50,c_49]) ).
tcf(c_5118,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5117,c_107]) ).
tcf(c_5119,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4948,c_50,c_49]) ).
tcf(c_5120,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4938,c_50,c_49]) ).
tcf(c_5121,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5120,c_192]) ).
tcf(c_5122,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4939,c_50,c_49]) ).
tcf(c_5123,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5122,c_192]) ).
tcf(c_5124,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4928,c_50,c_49]) ).
tcf(c_5127,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4908,c_50,c_49]) ).
tcf(c_5130,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4945,c_50,c_49]) ).
tcf(c_5131,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5130,c_192]) ).
tcf(c_5132,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4922,c_50,c_49]) ).
tcf(c_5135,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4949,c_50,c_49]) ).
tcf(c_5136,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4946,c_50,c_49]) ).
tcf(c_5137,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5136,c_192]) ).
tcf(c_5138,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4952,c_50,c_49]) ).
tcf(c_5139,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5138,c_192]) ).
tcf(c_5140,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4947,c_50,c_49]) ).
tcf(c_5141,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5140,c_192]) ).
tcf(c_5142,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4941,c_50,c_49]) ).
tcf(c_5143,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4923,c_50,c_49]) ).
tcf(c_5144,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4954,c_50,c_49]) ).
tcf(c_5145,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5144,c_192]) ).
tcf(c_5146,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4953,c_50,c_49]) ).
tcf(c_5147,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5146,c_192]) ).
tcf(c_5148,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4924,c_50,c_49]) ).
tcf(c_5149,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4956,c_50,c_49]) ).
tcf(c_5150,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5149,c_192]) ).
tcf(c_5151,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4955,c_50,c_49]) ).
tcf(c_5152,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5151,c_192]) ).
tcf(c_5153,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4929,c_50,c_49]) ).
tcf(c_5156,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4959,c_50,c_49]) ).
tcf(c_5157,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5156,c_192]) ).
tcf(c_5158,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4958,c_50,c_49]) ).
tcf(c_5159,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5158,c_192]) ).
tcf(c_5160,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4925,c_50,c_49]) ).
tcf(c_5163,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4984,c_50,c_49]) ).
tcf(c_5164,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4963,c_50,c_49]) ).
tcf(c_5165,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5164,c_192]) ).
tcf(c_5166,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4962,c_50,c_49]) ).
tcf(c_5167,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5166,c_192]) ).
tcf(c_5168,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4942,c_50,c_49]) ).
tcf(c_5169,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4985,c_50,c_49]) ).
tcf(c_5170,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4968,c_50,c_49]) ).
tcf(c_5171,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5170,c_192]) ).
tcf(c_5172,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4967,c_50,c_49]) ).
tcf(c_5173,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5172,c_192]) ).
tcf(c_5174,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4950,c_50,c_49]) ).
tcf(c_5175,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_4997,c_50,c_49]) ).
tcf(c_5176,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0))))))))),
inference(light_normalisation,[status(thm)],[c_5175,c_107,c_1431]) ).
tcf(c_5177,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4960,c_50,c_49]) ).
tcf(c_5178,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4970,c_50,c_49]) ).
tcf(c_5179,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5178,c_192]) ).
tcf(c_5180,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4969,c_50,c_49]) ).
tcf(c_5181,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5180,c_192]) ).
tcf(c_5182,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4943,c_50,c_49]) ).
tcf(c_5183,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4961,c_50,c_49]) ).
tcf(c_5184,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4976,c_50,c_49]) ).
tcf(c_5185,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5184,c_192]) ).
tcf(c_5186,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4975,c_50,c_49]) ).
tcf(c_5187,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5186,c_192]) ).
tcf(c_5188,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4951,c_50,c_49]) ).
tcf(c_5189,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_4998,c_50,c_49]) ).
tcf(c_5190,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0))))))))),
inference(light_normalisation,[status(thm)],[c_5189,c_107]) ).
tcf(c_5191,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4978,c_50,c_49]) ).
tcf(c_5192,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5191,c_192]) ).
tcf(c_5193,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4977,c_50,c_49]) ).
tcf(c_5194,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5193,c_192]) ).
tcf(c_5195,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4980,c_50,c_49]) ).
tcf(c_5196,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5195,c_192]) ).
tcf(c_5197,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4979,c_50,c_49]) ).
tcf(c_5198,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5197,c_192]) ).
tcf(c_5199,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4982,c_50,c_49]) ).
tcf(c_5200,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5199,c_192]) ).
tcf(c_5201,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4981,c_50,c_49]) ).
tcf(c_5202,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5201,c_192]) ).
tcf(c_5203,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4989,c_50,c_49]) ).
tcf(c_5204,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5203,c_192]) ).
tcf(c_5205,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4988,c_50,c_49]) ).
tcf(c_5206,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5205,c_192]) ).
tcf(c_5207,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_4990,c_50,c_49]) ).
tcf(c_5208,plain,
join(iPr_def_10,join(iPr_def_11,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5207,c_192]) ).
tcf(c_5274,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_2775,c_54]) ).
tcf(c_5275,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_2775,c_52]) ).
tcf(c_5276,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_2775,c_54]) ).
tcf(c_5277,plain,
join(complement(iPr_def_11),composition(converse(converse(complement(iPr_def_12))),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_2775,c_76]) ).
tcf(c_5278,plain,
composition(converse(iPr_def_11),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_2775,c_226]) ).
tcf(c_5279,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_4671]) ).
tcf(c_5280,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_4025]) ).
tcf(c_5281,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_3971]) ).
tcf(c_5282,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_3941]) ).
tcf(c_5283,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_3911]) ).
tcf(c_5284,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_3472]) ).
tcf(c_5285,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_3225]) ).
tcf(c_5286,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_2992]) ).
tcf(c_5287,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_2788]) ).
tcf(c_5288,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_2576]) ).
tcf(c_5289,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_2552]) ).
tcf(c_5290,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_2528]) ).
tcf(c_5292,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5277,c_1431,c_1671]) ).
tcf(c_5293,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_5276,c_50,c_49]) ).
tcf(c_5294,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5290,c_1431]) ).
tcf(c_5295,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5289,c_1431]) ).
tcf(c_5296,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5288,c_1431]) ).
tcf(c_5297,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5287,c_1431]) ).
tcf(c_5298,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5286,c_1431]) ).
tcf(c_5299,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5285,c_1431]) ).
tcf(c_5300,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5284,c_1431]) ).
tcf(c_5301,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5283,c_1431]) ).
tcf(c_5302,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5282,c_1431]) ).
tcf(c_5303,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5281,c_1431]) ).
tcf(c_5304,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5280,c_1431]) ).
tcf(c_5305,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5279,c_1431]) ).
tcf(c_5315,plain,
join(top,composition(zero,top)) = top,
inference(demodulation,[status(thm)],[c_5057,c_365]) ).
tcf(c_5316,plain,
join(top,join(composition(zero,top),complement(top))) = top,
inference(superposition,[status(thm)],[c_5315,c_375]) ).
tcf(c_5317,plain,
! [X0: $i] : join(top,join(composition(zero,top),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5315,c_50]) ).
tcf(c_5319,plain,
join(top,converse(composition(zero,top))) = converse(top),
inference(superposition,[status(thm)],[c_5315,c_2353]) ).
tcf(c_5323,plain,
join(top,converse(composition(zero,top))) = top,
inference(light_normalisation,[status(thm)],[c_5319,c_2343]) ).
tcf(c_5324,plain,
join(top,join(complement(top),composition(zero,top))) = top,
inference(theory_normalisation,[status(thm)],[c_5316,c_50,c_49]) ).
tcf(c_5325,plain,
join(top,join(zero,composition(zero,top))) = top,
inference(light_normalisation,[status(thm)],[c_5324,c_107]) ).
tcf(c_5326,plain,
join(top,composition(zero,join(iPr_def_10,iPr_def_12))) = top,
inference(demodulation,[status(thm)],[c_5068,c_365]) ).
tcf(c_5327,plain,
join(top,join(composition(zero,join(iPr_def_10,iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_5326,c_375]) ).
tcf(c_5328,plain,
! [X0: $i] : join(top,join(composition(zero,join(iPr_def_10,iPr_def_12)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5326,c_50]) ).
tcf(c_5330,plain,
join(top,converse(composition(zero,join(iPr_def_10,iPr_def_12)))) = converse(top),
inference(superposition,[status(thm)],[c_5326,c_2353]) ).
tcf(c_5334,plain,
join(top,converse(composition(zero,join(iPr_def_10,iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_5330,c_2343]) ).
tcf(c_5335,plain,
join(top,join(complement(top),composition(zero,join(iPr_def_10,iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_5327,c_50,c_49]) ).
tcf(c_5336,plain,
join(top,join(zero,composition(zero,join(iPr_def_10,iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_5335,c_107]) ).
tcf(c_5337,plain,
join(top,composition(zero,composition(top,join(iPr_def_10,iPr_def_12)))) = top,
inference(demodulation,[status(thm)],[c_5086,c_365]) ).
tcf(c_5338,plain,
join(top,join(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))),complement(top))) = top,
inference(superposition,[status(thm)],[c_5337,c_375]) ).
tcf(c_5339,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5337,c_50]) ).
tcf(c_5341,plain,
join(top,converse(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))))) = converse(top),
inference(superposition,[status(thm)],[c_5337,c_2353]) ).
tcf(c_5345,plain,
join(top,converse(composition(zero,composition(top,join(iPr_def_10,iPr_def_12))))) = top,
inference(light_normalisation,[status(thm)],[c_5341,c_2343]) ).
tcf(c_5346,plain,
join(top,join(complement(top),composition(zero,composition(top,join(iPr_def_10,iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_5338,c_50,c_49]) ).
tcf(c_5347,plain,
join(top,join(zero,composition(zero,composition(top,join(iPr_def_10,iPr_def_12))))) = top,
inference(light_normalisation,[status(thm)],[c_5346,c_107]) ).
tcf(c_5348,plain,
join(top,composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))) = top,
inference(demodulation,[status(thm)],[c_5103,c_365]) ).
tcf(c_5349,plain,
join(top,join(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))),complement(top))) = top,
inference(superposition,[status(thm)],[c_5348,c_375]) ).
tcf(c_5350,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5348,c_50]) ).
tcf(c_5352,plain,
join(top,converse(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = converse(top),
inference(superposition,[status(thm)],[c_5348,c_2353]) ).
tcf(c_5356,plain,
join(top,converse(composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = top,
inference(light_normalisation,[status(thm)],[c_5352,c_2343]) ).
tcf(c_5357,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_5349,c_50,c_49]) ).
tcf(c_5358,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = top,
inference(light_normalisation,[status(thm)],[c_5357,c_107]) ).
tcf(c_5378,plain,
join(top,composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))) = top,
inference(demodulation,[status(thm)],[c_5112,c_365]) ).
tcf(c_5379,plain,
join(top,join(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_5378,c_375]) ).
tcf(c_5380,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5378,c_50]) ).
tcf(c_5382,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = converse(top),
inference(superposition,[status(thm)],[c_5378,c_2353]) ).
tcf(c_5386,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = top,
inference(light_normalisation,[status(thm)],[c_5382,c_2343]) ).
tcf(c_5387,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5379,c_50,c_49]) ).
tcf(c_5388,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = top,
inference(light_normalisation,[status(thm)],[c_5387,c_107]) ).
tcf(c_5389,plain,
join(top,composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))) = top,
inference(demodulation,[status(thm)],[c_5116,c_365]) ).
tcf(c_5390,plain,
join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_5389,c_375]) ).
tcf(c_5391,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5389,c_50]) ).
tcf(c_5393,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = converse(top),
inference(superposition,[status(thm)],[c_5389,c_2353]) ).
tcf(c_5397,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = top,
inference(light_normalisation,[status(thm)],[c_5393,c_2343]) ).
tcf(c_5398,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5390,c_50,c_49]) ).
tcf(c_5399,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = top,
inference(light_normalisation,[status(thm)],[c_5398,c_107]) ).
tcf(c_5400,plain,
join(top,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))) = top,
inference(demodulation,[status(thm)],[c_5121,c_365]) ).
tcf(c_5401,plain,
join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_5400,c_375]) ).
tcf(c_5402,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5400,c_50]) ).
tcf(c_5404,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = converse(top),
inference(superposition,[status(thm)],[c_5400,c_2353]) ).
tcf(c_5408,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5404,c_2343]) ).
tcf(c_5409,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5401,c_50,c_49]) ).
tcf(c_5410,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5409,c_107]) ).
tcf(c_5411,plain,
join(top,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))) = top,
inference(demodulation,[status(thm)],[c_5123,c_365]) ).
tcf(c_5412,plain,
join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_5411,c_375]) ).
tcf(c_5413,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5411,c_50]) ).
tcf(c_5415,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = converse(top),
inference(superposition,[status(thm)],[c_5411,c_2353]) ).
tcf(c_5419,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5415,c_2343]) ).
tcf(c_5420,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5412,c_50,c_49]) ).
tcf(c_5421,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5420,c_107]) ).
tcf(c_5423,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_263,c_1747]) ).
tcf(c_5455,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(top,complement(join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_360,c_5423]) ).
tcf(c_5456,plain,
join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_107,c_5423]) ).
tcf(c_5457,plain,
join(complement(join(iPr_def_11,iPr_def_10)),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_5423]) ).
tcf(c_5458,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1671,c_5423]) ).
tcf(c_5460,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_49,c_5423]) ).
tcf(c_5462,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_5423]) ).
tcf(c_5463,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1654,c_5423]) ).
tcf(c_5464,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(top),complement(top))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1754,c_5423]) ).
tcf(c_5465,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_252,c_5423]) ).
tcf(c_5466,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_349,c_5423]) ).
tcf(c_5467,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_375,c_5423]) ).
tcf(c_5468,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_360,c_5423]) ).
tcf(c_5469,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1429,c_5423]) ).
tcf(c_5470,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_432,c_5423]) ).
tcf(c_5471,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_894,c_5423]) ).
tcf(c_5472,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_897,c_5423]) ).
tcf(c_5473,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1747,c_5423]) ).
tcf(c_5474,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1783,c_5423]) ).
tcf(c_5475,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_5423]) ).
tcf(c_5476,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1897,c_5423]) ).
tcf(c_5477,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1901,c_5423]) ).
tcf(c_5478,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1903,c_5423]) ).
tcf(c_5479,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2221,c_5423]) ).
tcf(c_5480,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2225,c_5423]) ).
tcf(c_5481,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2231,c_5423]) ).
tcf(c_5482,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2233,c_5423]) ).
tcf(c_5483,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2864,c_5423]) ).
tcf(c_5484,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2866,c_5423]) ).
tcf(c_5485,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3207,c_5423]) ).
tcf(c_5486,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3214,c_5423]) ).
tcf(c_5487,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_5423]) ).
tcf(c_5488,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4158,c_5423]) ).
tcf(c_5489,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4160,c_5423]) ).
tcf(c_5490,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4183,c_5423]) ).
tcf(c_5491,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_5423,c_375]) ).
tcf(c_5492,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_5423,c_50]) ).
tcf(c_5493,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))) = join(join(iPr_def_11,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_5423,c_360]) ).
tcf(c_5494,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,X0))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5423,c_217]) ).
tcf(c_5495,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,X0)))),complement(iPr_def_10)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5423,c_218]) ).
tcf(c_5496,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),join(iPr_def_11,X0))),complement(iPr_def_10)) = join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_5423,c_217]) ).
tcf(c_5497,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_5423,c_218]) ).
tcf(c_5498,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5485,c_50,c_49]) ).
tcf(c_5499,plain,
join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5498,c_1671]) ).
tcf(c_5500,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5499,c_50,c_49]) ).
tcf(c_5502,plain,
join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5469,c_50,c_49]) ).
tcf(c_5504,plain,
join(zero,complement(join(iPr_def_11,join(zero,zero)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5464,c_107]) ).
tcf(c_5514,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5487,c_50,c_49]) ).
tcf(c_5515,plain,
join(zero,complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_12)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5514,c_107]) ).
tcf(c_5516,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5462,c_50,c_49]) ).
tcf(c_5525,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5458,c_50,c_49]) ).
tcf(c_5526,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5525,c_1654,c_1671]) ).
tcf(c_5527,plain,
join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5526,c_50,c_49]) ).
tcf(c_5529,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5457,c_50,c_49]) ).
tcf(c_5532,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))) = join(iPr_def_10,join(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_5493,c_50,c_49]) ).
tcf(c_5534,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5467,c_50,c_49]) ).
tcf(c_5535,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5534,c_107]) ).
tcf(c_5538,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5486,c_50,c_49]) ).
tcf(c_5539,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5470,c_50,c_49]) ).
tcf(c_5540,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5539,c_1671]) ).
tcf(c_5541,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5540,c_50,c_49]) ).
tcf(c_5542,plain,
! [X0: $i] : join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5466,c_50,c_49]) ).
tcf(c_5543,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5542,c_1671]) ).
tcf(c_5544,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5543,c_50,c_49]) ).
tcf(c_5552,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5491,c_50,c_49]) ).
tcf(c_5555,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5468,c_50,c_49]) ).
tcf(c_5556,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_5555,c_1671]) ).
tcf(c_5557,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5556,c_50,c_49]) ).
tcf(c_5561,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_5495,c_50,c_49]) ).
tcf(c_5562,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_5561,c_192]) ).
tcf(c_5563,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(join(iPr_def_11,X0)),complement(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_5494,c_50,c_49]) ).
tcf(c_5564,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(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_5563,c_192]) ).
tcf(c_5565,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5465,c_50,c_49]) ).
tcf(c_5567,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(X0,join(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(theory_normalisation,[status(thm)],[c_5496,c_50,c_49]) ).
tcf(c_5568,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(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_5567,c_192]) ).
tcf(c_5569,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5475,c_50,c_49]) ).
tcf(c_5571,plain,
! [X0: $i] : join(complement(iPr_def_10),complement(join(complement(complement(join(iPr_def_11,X0))),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_5497,c_50,c_49]) ).
tcf(c_5572,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),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_5571,c_192]) ).
tcf(c_5573,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5479,c_50,c_49]) ).
tcf(c_5575,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5480,c_50,c_49]) ).
tcf(c_5577,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5476,c_50,c_49]) ).
tcf(c_5578,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5471,c_50,c_49]) ).
tcf(c_5581,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5472,c_50,c_49]) ).
tcf(c_5583,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5483,c_50,c_49]) ).
tcf(c_5585,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5484,c_50,c_49]) ).
tcf(c_5587,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5488,c_50,c_49]) ).
tcf(c_5588,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5477,c_50,c_49]) ).
tcf(c_5591,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5489,c_50,c_49]) ).
tcf(c_5592,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5481,c_50,c_49]) ).
tcf(c_5595,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5478,c_50,c_49]) ).
tcf(c_5597,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5482,c_50,c_49]) ).
tcf(c_5652,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_50,c_765]) ).
tcf(c_5653,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = converse(converse(join(X1,X0))),
inference(superposition,[status(thm)],[c_56,c_765]) ).
tcf(c_5659,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_221,c_765]) ).
tcf(c_5661,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_222,c_765]) ).
tcf(c_5662,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_225,c_765]) ).
tcf(c_5663,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_226,c_765]) ).
tcf(c_5668,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(join(X1,one),converse(X0)),
inference(superposition,[status(thm)],[c_1729,c_765]) ).
tcf(c_5669,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),zero))) = join(composition(zero,X1),converse(X0)),
inference(superposition,[status(thm)],[c_1975,c_765]) ).
tcf(c_5670,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(converse(X1),top))) = join(composition(top,X1),converse(X0)),
inference(superposition,[status(thm)],[c_2357,c_765]) ).
tcf(c_5672,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(top,converse(X1)))) = join(join(X1,top),converse(X0)),
inference(superposition,[status(thm)],[c_2359,c_765]) ).
tcf(c_5673,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_4671]) ).
tcf(c_5674,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_4025]) ).
tcf(c_5675,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_3971]) ).
tcf(c_5676,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_3941]) ).
tcf(c_5677,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_3911]) ).
tcf(c_5678,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_3472]) ).
tcf(c_5679,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_3225]) ).
tcf(c_5680,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_2992]) ).
tcf(c_5681,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_2788]) ).
tcf(c_5682,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_2576]) ).
tcf(c_5683,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_2552]) ).
tcf(c_5684,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_2528]) ).
tcf(c_5687,plain,
! [X0: $i,X1: $i] : join(top,composition(join(X0,converse(X1)),complement(composition(join(X1,converse(X0)),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_765,c_488]) ).
tcf(c_5688,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_765,c_432]) ).
tcf(c_5691,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_765,c_56]) ).
tcf(c_5693,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_765,c_765]) ).
tcf(c_5694,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_765,c_225]) ).
tcf(c_5696,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_765,c_76]) ).
tcf(c_5697,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_765,c_57]) ).
tcf(c_5698,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_765,c_56]) ).
tcf(c_5699,plain,
! [X0: $i,X1: $i] : join(X0,converse(converse(X1))) = join(X1,converse(converse(X0))),
inference(superposition,[status(thm)],[c_765,c_221]) ).
tcf(c_5704,plain,
! [X0: $i,X1: $i] : converse(converse(join(X0,X1))) = join(X1,X0),
inference(light_normalisation,[status(thm)],[c_5653,c_1014]) ).
tcf(c_5705,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(top,converse(X1)))) = join(X1,join(top,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_5672,c_50,c_49]) ).
tcf(c_5707,plain,
! [X0: $i,X1: $i] : converse(join(X0,join(one,converse(X1)))) = join(X1,join(one,converse(X0))),
inference(theory_normalisation,[status(thm)],[c_5668,c_50,c_49]) ).
tcf(c_5709,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_5693,c_50,c_49]) ).
tcf(c_5710,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_5691,c_50,c_49]) ).
tcf(c_5712,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_5661,c_50,c_49]) ).
tcf(c_5714,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_5659,c_50,c_49]) ).
tcf(c_5730,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = converse(converse(join(X1,X0))),
inference(superposition,[status(thm)],[c_56,c_985]) ).
tcf(c_5737,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_221,c_985]) ).
tcf(c_5739,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_222,c_985]) ).
tcf(c_5740,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_225,c_985]) ).
tcf(c_5741,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_226,c_985]) ).
tcf(c_5747,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),zero),X1)) = join(converse(X1),composition(zero,X0)),
inference(superposition,[status(thm)],[c_1975,c_985]) ).
tcf(c_5748,plain,
! [X0: $i,X1: $i] : converse(join(composition(converse(X0),top),X1)) = join(converse(X1),composition(top,X0)),
inference(superposition,[status(thm)],[c_2357,c_985]) ).
tcf(c_5751,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_985,c_985]) ).
tcf(c_5752,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_4671]) ).
tcf(c_5753,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_4025]) ).
tcf(c_5754,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_3971]) ).
tcf(c_5755,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_3941]) ).
tcf(c_5756,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_3911]) ).
tcf(c_5757,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_3472]) ).
tcf(c_5758,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_3225]) ).
tcf(c_5759,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_2992]) ).
tcf(c_5760,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_2788]) ).
tcf(c_5761,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_2576]) ).
tcf(c_5762,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_2552]) ).
tcf(c_5763,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_2528]) ).
tcf(c_5766,plain,
! [X0: $i,X1: $i] : join(top,composition(join(converse(X0),X1),complement(composition(join(converse(X1),X0),iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_985,c_488]) ).
tcf(c_5767,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_985,c_432]) ).
tcf(c_5770,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_985,c_56]) ).
tcf(c_5772,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_985,c_765]) ).
tcf(c_5773,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_985,c_225]) ).
tcf(c_5775,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_985,c_76]) ).
tcf(c_5776,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_985,c_57]) ).
tcf(c_5777,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_985,c_56]) ).
tcf(c_5780,plain,
! [X0: $i,X1: $i] : join(converse(converse(X0)),X1) = join(converse(converse(X1)),X0),
inference(superposition,[status(thm)],[c_985,c_222]) ).
tcf(c_5799,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,join(converse(X1),X2))) = join(converse(join(X0,X2)),X1),
inference(light_normalisation,[status(thm)],[c_5777,c_359]) ).
tcf(c_5800,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_5772,c_50,c_49]) ).
tcf(c_5801,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_5770,c_50,c_49]) ).
tcf(c_5803,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_5751,c_50,c_49]) ).
tcf(c_5804,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_5803,c_359]) ).
tcf(c_5805,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_5739,c_50,c_49]) ).
tcf(c_5807,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_5737,c_50,c_49]) ).
tcf(c_5808,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_5807,c_359]) ).
tcf(c_5818,plain,
join(top,join(converse(complement(iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_4311,c_375]) ).
tcf(c_5819,plain,
! [X0: $i] : join(top,join(converse(complement(iPr_def_12)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_4311,c_50]) ).
tcf(c_5821,plain,
join(converse(top),complement(iPr_def_12)) = converse(top),
inference(superposition,[status(thm)],[c_4311,c_222]) ).
tcf(c_5823,plain,
join(top,converse(converse(complement(iPr_def_12)))) = converse(top),
inference(superposition,[status(thm)],[c_4311,c_2353]) ).
tcf(c_5827,plain,
join(complement(iPr_def_12),converse(top)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_5821,c_50,c_49]) ).
tcf(c_5828,plain,
join(complement(iPr_def_12),top) = top,
inference(light_normalisation,[status(thm)],[c_5827,c_2343]) ).
tcf(c_5830,plain,
join(top,converse(converse(complement(iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_5823,c_2343]) ).
tcf(c_5831,plain,
join(top,join(complement(top),converse(complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_5818,c_50,c_49]) ).
tcf(c_5832,plain,
join(top,join(zero,converse(complement(iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_5831,c_107]) ).
tcf(c_5834,plain,
join(iPr_def_11,complement(join(top,join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_360,c_5562]) ).
tcf(c_5835,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,join(complement(join(iPr_def_11,top)),complement(join(iPr_def_11,top))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_107,c_5562]) ).
tcf(c_5836,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_10)),complement(join(iPr_def_11,iPr_def_10))))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_192,c_5562]) ).
tcf(c_5837,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,iPr_def_11))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_5562]) ).
tcf(c_5871,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_5562]) ).
tcf(c_5873,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),join(complement(top),complement(top)))))) = top,
inference(superposition,[status(thm)],[c_59,c_5562]) ).
tcf(c_5874,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(iPr_def_11)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_5562]) ).
tcf(c_5875,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),join(complement(top),complement(top)))))) = top,
inference(superposition,[status(thm)],[c_1754,c_5562]) ).
tcf(c_5876,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_5562]) ).
tcf(c_5877,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),join(complement(iPr_def_11),complement(iPr_def_11)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_349,c_5562]) ).
tcf(c_5878,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),join(complement(top),complement(top)))))) = top,
inference(superposition,[status(thm)],[c_375,c_5562]) ).
tcf(c_5879,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),join(complement(join(top,X0)),complement(join(top,X0))))))) = join(top,X0),
inference(superposition,[status(thm)],[c_360,c_5562]) ).
tcf(c_5880,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(zero),join(complement(iPr_def_11),complement(iPr_def_11)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_5562]) ).
tcf(c_5881,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),join(complement(iPr_def_11),complement(iPr_def_11)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_432,c_5562]) ).
tcf(c_5882,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_5562]) ).
tcf(c_5883,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_5562]) ).
tcf(c_5884,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1747,c_5562]) ).
tcf(c_5885,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),join(complement(join(top,X0)),complement(join(top,X0))))))) = join(top,X0),
inference(superposition,[status(thm)],[c_1783,c_5562]) ).
tcf(c_5886,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(X0)))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_1888,c_5562]) ).
tcf(c_5887,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_5562]) ).
tcf(c_5888,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1901,c_5562]) ).
tcf(c_5889,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1903,c_5562]) ).
tcf(c_5890,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(X0)))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_2221,c_5562]) ).
tcf(c_5891,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_5562]) ).
tcf(c_5892,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_2231,c_5562]) ).
tcf(c_5893,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2233,c_5562]) ).
tcf(c_5894,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_5562]) ).
tcf(c_5895,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),join(complement(join(X0,iPr_def_11)),complement(join(X0,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_5562]) ).
tcf(c_5896,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_12),join(complement(iPr_def_11),complement(iPr_def_11)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3207,c_5562]) ).
tcf(c_5897,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_3214,c_5562]) ).
tcf(c_5898,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),join(complement(top),complement(top)))))) = top,
inference(superposition,[status(thm)],[c_4192,c_5562]) ).
tcf(c_5899,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4158,c_5562]) ).
tcf(c_5900,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4160,c_5562]) ).
tcf(c_5901,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_4183,c_5562]) ).
tcf(c_5903,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_5562,c_375]) ).
tcf(c_5904,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_5562,c_50]) ).
tcf(c_5905,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5562,c_5562]) ).
tcf(c_5906,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5562,c_5423]) ).
tcf(c_5907,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5562,c_4160]) ).
tcf(c_5908,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5562,c_4158]) ).
tcf(c_5909,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5562,c_257]) ).
tcf(c_5911,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_10,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_5562,c_365]) ).
tcf(c_5912,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5562,c_2233]) ).
tcf(c_5913,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))))))))) = join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5562,c_2866]) ).
tcf(c_5914,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5562,c_1903]) ).
tcf(c_5915,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))))))) = join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5562,c_2864]) ).
tcf(c_5916,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_5562,c_2231]) ).
tcf(c_5917,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_5562,c_1901]) ).
tcf(c_5918,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5562,c_900]) ).
tcf(c_5919,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5562,c_1298]) ).
tcf(c_5920,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))) = join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5562,c_2225]) ).
tcf(c_5921,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5562,c_2221]) ).
tcf(c_5922,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5562,c_897]) ).
tcf(c_5923,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5562,c_1897]) ).
tcf(c_5924,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5562,c_1888]) ).
tcf(c_5925,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5562,c_1280]) ).
tcf(c_5926,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5562,c_894]) ).
tcf(c_5927,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5562,c_705]) ).
tcf(c_5928,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),iPr_def_11)),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5562,c_233]) ).
tcf(c_5929,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),complement(iPr_def_11)))) = join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_5562,c_218]) ).
tcf(c_5930,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(iPr_def_12)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5896,c_50,c_49]) ).
tcf(c_5931,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,join(iPr_def_10,complement(iPr_def_12)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_5930,c_1671]) ).
tcf(c_5932,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5931,c_50,c_49]) ).
tcf(c_5934,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(zero)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5880,c_50,c_49]) ).
tcf(c_5936,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,join(zero,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_5875,c_107]) ).
tcf(c_5946,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),join(complement(top),complement(complement(iPr_def_12))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5898,c_50,c_49]) ).
tcf(c_5947,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,join(zero,complement(complement(iPr_def_12))))))) = top,
inference(light_normalisation,[status(thm)],[c_5946,c_107]) ).
tcf(c_5948,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),join(complement(top),complement(complement(iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5873,c_50,c_49]) ).
tcf(c_5959,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5878,c_50,c_49]) ).
tcf(c_5960,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(zero,join(zero,complement(join(X0,complement(join(iPr_def_11,X0))))))))) = top,
inference(light_normalisation,[status(thm)],[c_5959,c_107]) ).
tcf(c_5963,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,iPr_def_11))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5837,c_50,c_49]) ).
tcf(c_5967,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_10,iPr_def_11))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5836,c_50,c_49]) ).
tcf(c_5970,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5881,c_50,c_49]) ).
tcf(c_5971,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_5970,c_1671]) ).
tcf(c_5972,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5971,c_50,c_49]) ).
tcf(c_5973,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5877,c_50,c_49]) ).
tcf(c_5974,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_5973,c_1671]) ).
tcf(c_5975,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_5974,c_50,c_49]) ).
tcf(c_5982,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_5911,c_365]) ).
tcf(c_5983,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_5897,c_50,c_49]) ).
tcf(c_5985,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5928,c_50,c_49]) ).
tcf(c_5986,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_5903,c_50,c_49]) ).
tcf(c_5987,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0))))))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_5879,c_50,c_49]) ).
tcf(c_5988,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),join(complement(join(top,X0)),complement(join(iPr_def_10,X0))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_5987,c_1671]) ).
tcf(c_5989,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),join(complement(join(top,X0)),complement(join(top,X0))))))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_5988,c_50,c_49]) ).
tcf(c_5993,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_5904,c_50,c_49]) ).
tcf(c_5994,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_5924,c_50,c_49]) ).
tcf(c_5995,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_5921,c_50,c_49]) ).
tcf(c_5996,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5876,c_50,c_49]) ).
tcf(c_5998,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5906,c_50,c_49]) ).
tcf(c_5999,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_5886,c_50,c_49]) ).
tcf(c_6001,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5909,c_50,c_49]) ).
tcf(c_6002,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_5905,c_50,c_49]) ).
tcf(c_6004,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_5890,c_50,c_49]) ).
tcf(c_6007,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),
inference(theory_normalisation,[status(thm)],[c_5929,c_50,c_49]) ).
tcf(c_6008,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))),
inference(light_normalisation,[status(thm)],[c_6007,c_1671]) ).
tcf(c_6009,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5891,c_50,c_49]) ).
tcf(c_6011,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5887,c_50,c_49]) ).
tcf(c_6012,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5882,c_50,c_49]) ).
tcf(c_6015,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5883,c_50,c_49]) ).
tcf(c_6017,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5925,c_50,c_49]) ).
tcf(c_6018,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5927,c_50,c_49]) ).
tcf(c_6019,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5894,c_50,c_49]) ).
tcf(c_6021,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_5895,c_50,c_49]) ).
tcf(c_6023,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_5920,c_50,c_49]) ).
tcf(c_6024,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_5926,c_50,c_49]) ).
tcf(c_6025,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_5923,c_50,c_49]) ).
tcf(c_6026,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_5907,c_50,c_49]) ).
tcf(c_6027,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_5922,c_50,c_49]) ).
tcf(c_6028,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_5899,c_50,c_49]) ).
tcf(c_6029,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_5888,c_50,c_49]) ).
tcf(c_6032,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5919,c_50,c_49]) ).
tcf(c_6033,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_5900,c_50,c_49]) ).
tcf(c_6034,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_5892,c_50,c_49]) ).
tcf(c_6037,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_5918,c_50,c_49]) ).
tcf(c_6038,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_5917,c_50,c_49]) ).
tcf(c_6039,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_5916,c_50,c_49]) ).
tcf(c_6040,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_5914,c_50,c_49]) ).
tcf(c_6041,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_5908,c_50,c_49]) ).
tcf(c_6042,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_5889,c_50,c_49]) ).
tcf(c_6044,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_5912,c_50,c_49]) ).
tcf(c_6045,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_5893,c_50,c_49]) ).
tcf(c_6047,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_5915,c_50,c_49]) ).
tcf(c_6048,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_5913,c_50,c_49]) ).
tcf(c_6097,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(top,complement(join(iPr_def_11,iPr_def_11)))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_360,c_5564]) ).
tcf(c_6098,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_107,c_5564]) ).
tcf(c_6099,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_10)),complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_192,c_5564]) ).
tcf(c_6100,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1671,c_5564]) ).
tcf(c_6102,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_5564]) ).
tcf(c_6104,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top)))))))) = top,
inference(superposition,[status(thm)],[c_59,c_5564]) ).
tcf(c_6105,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11)))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_5564]) ).
tcf(c_6106,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(top),complement(top)))))))) = top,
inference(superposition,[status(thm)],[c_1754,c_5564]) ).
tcf(c_6107,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_252,c_5564]) ).
tcf(c_6108,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11)))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_349,c_5564]) ).
tcf(c_6109,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top)))))))) = top,
inference(superposition,[status(thm)],[c_375,c_5564]) ).
tcf(c_6110,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(top,X0)),complement(complement(join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0))))))))) = join(top,X0),
inference(superposition,[status(thm)],[c_360,c_5564]) ).
tcf(c_6111,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(zero),complement(iPr_def_11)))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_5564]) ).
tcf(c_6112,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11)))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_432,c_5564]) ).
tcf(c_6113,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_5564]) ).
tcf(c_6114,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_5564]) ).
tcf(c_6115,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1747,c_5564]) ).
tcf(c_6116,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(top,X0)),complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0))))))))) = join(top,X0),
inference(superposition,[status(thm)],[c_1783,c_5564]) ).
tcf(c_6117,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_1888,c_5564]) ).
tcf(c_6118,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_5564]) ).
tcf(c_6119,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1901,c_5564]) ).
tcf(c_6120,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1903,c_5564]) ).
tcf(c_6121,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_2221,c_5564]) ).
tcf(c_6122,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_5564]) ).
tcf(c_6123,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_2231,c_5564]) ).
tcf(c_6124,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2233,c_5564]) ).
tcf(c_6125,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2864,c_5564]) ).
tcf(c_6126,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_5564]) ).
tcf(c_6127,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11)))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3207,c_5564]) ).
tcf(c_6128,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_3214,c_5564]) ).
tcf(c_6129,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top)))))))) = top,
inference(superposition,[status(thm)],[c_4192,c_5564]) ).
tcf(c_6130,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4158,c_5564]) ).
tcf(c_6131,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_4160,c_5564]) ).
tcf(c_6132,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_4183,c_5564]) ).
tcf(c_6133,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5562,c_5564]) ).
tcf(c_6135,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_5564,c_375]) ).
tcf(c_6136,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_5564,c_50]) ).
tcf(c_6137,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5564,c_5564]) ).
tcf(c_6138,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5564,c_5562]) ).
tcf(c_6139,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5564,c_5423]) ).
tcf(c_6140,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5564,c_4160]) ).
tcf(c_6141,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5564,c_4158]) ).
tcf(c_6142,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5564,c_257]) ).
tcf(c_6144,plain,
! [X0: $i] : join(top,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_10,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_5564,c_365]) ).
tcf(c_6145,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5564,c_2233]) ).
tcf(c_6146,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5564,c_2866]) ).
tcf(c_6147,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5564,c_1903]) ).
tcf(c_6148,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5564,c_2864]) ).
tcf(c_6149,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_5564,c_2231]) ).
tcf(c_6150,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_5564,c_1901]) ).
tcf(c_6151,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5564,c_900]) ).
tcf(c_6152,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5564,c_1298]) ).
tcf(c_6153,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5564,c_2225]) ).
tcf(c_6154,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5564,c_2221]) ).
tcf(c_6155,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5564,c_897]) ).
tcf(c_6156,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5564,c_1897]) ).
tcf(c_6157,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5564,c_1888]) ).
tcf(c_6158,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5564,c_1280]) ).
tcf(c_6159,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_5564,c_894]) ).
tcf(c_6160,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5564,c_705]) ).
tcf(c_6161,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),iPr_def_11)),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_5564,c_233]) ).
tcf(c_6162,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(iPr_def_11)))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_5564,c_218]) ).
tcf(c_6163,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12)))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6127,c_50,c_49]) ).
tcf(c_6164,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12)))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6163,c_1671]) ).
tcf(c_6165,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12)))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6164,c_50,c_49]) ).
tcf(c_6167,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(zero)))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6111,c_50,c_49]) ).
tcf(c_6169,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,join(zero,zero))))))) = top,
inference(light_normalisation,[status(thm)],[c_6106,c_107]) ).
tcf(c_6170,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6105,c_1671,c_1913]) ).
tcf(c_6171,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,iPr_def_11)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6170,c_50,c_49]) ).
tcf(c_6179,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6129,c_50,c_49]) ).
tcf(c_6180,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,join(zero,complement(complement(iPr_def_12))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6179,c_107]) ).
tcf(c_6181,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6104,c_50,c_49]) ).
tcf(c_6190,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6109,c_50,c_49]) ).
tcf(c_6191,plain,
! [X0: $i] : join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6190,c_107]) ).
tcf(c_6192,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6100,c_50,c_49]) ).
tcf(c_6193,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6192,c_1654,c_1671]) ).
tcf(c_6194,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6193,c_50,c_49]) ).
tcf(c_6196,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6099,c_50,c_49]) ).
tcf(c_6201,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6112,c_50,c_49]) ).
tcf(c_6202,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6201,c_1671]) ).
tcf(c_6203,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6202,c_50,c_49]) ).
tcf(c_6204,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6108,c_50,c_49]) ).
tcf(c_6205,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6204,c_1671]) ).
tcf(c_6206,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6205,c_50,c_49]) ).
tcf(c_6213,plain,
! [X0: $i] : join(top,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_6144,c_365]) ).
tcf(c_6214,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6128,c_50,c_49]) ).
tcf(c_6216,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6161,c_50,c_49]) ).
tcf(c_6217,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6135,c_50,c_49]) ).
tcf(c_6218,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(top,X0)),complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0))))))))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_6110,c_50,c_49]) ).
tcf(c_6219,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(top,X0)),complement(complement(join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_6218,c_1671]) ).
tcf(c_6220,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(top,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0))))))))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_6219,c_50,c_49]) ).
tcf(c_6224,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_6136,c_50,c_49]) ).
tcf(c_6225,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(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_6157,c_50,c_49]) ).
tcf(c_6226,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(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_6154,c_50,c_49]) ).
tcf(c_6227,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6107,c_50,c_49]) ).
tcf(c_6229,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6139,c_50,c_49]) ).
tcf(c_6230,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_6117,c_50,c_49]) ).
tcf(c_6232,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6142,c_50,c_49]) ).
tcf(c_6233,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(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_6138,c_50,c_49]) ).
tcf(c_6234,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6133,c_50,c_49]) ).
tcf(c_6235,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_6121,c_50,c_49]) ).
tcf(c_6238,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(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_6137,c_50,c_49]) ).
tcf(c_6241,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6122,c_50,c_49]) ).
tcf(c_6243,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(iPr_def_11),complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6162,c_50,c_49]) ).
tcf(c_6244,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_10,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(light_normalisation,[status(thm)],[c_6243,c_1671]) ).
tcf(c_6245,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6118,c_50,c_49]) ).
tcf(c_6246,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6113,c_50,c_49]) ).
tcf(c_6249,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6114,c_50,c_49]) ).
tcf(c_6251,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6158,c_50,c_49]) ).
tcf(c_6252,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6160,c_50,c_49]) ).
tcf(c_6253,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6125,c_50,c_49]) ).
tcf(c_6255,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6126,c_50,c_49]) ).
tcf(c_6257,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6153,c_50,c_49]) ).
tcf(c_6258,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6140,c_50,c_49]) ).
tcf(c_6259,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6159,c_50,c_49]) ).
tcf(c_6260,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6156,c_50,c_49]) ).
tcf(c_6261,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6130,c_50,c_49]) ).
tcf(c_6262,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_6119,c_50,c_49]) ).
tcf(c_6265,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6155,c_50,c_49]) ).
tcf(c_6266,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6131,c_50,c_49]) ).
tcf(c_6267,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_6123,c_50,c_49]) ).
tcf(c_6270,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6152,c_50,c_49]) ).
tcf(c_6271,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6151,c_50,c_49]) ).
tcf(c_6272,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_6150,c_50,c_49]) ).
tcf(c_6273,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6120,c_50,c_49]) ).
tcf(c_6275,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_6149,c_50,c_49]) ).
tcf(c_6276,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6124,c_50,c_49]) ).
tcf(c_6278,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6147,c_50,c_49]) ).
tcf(c_6279,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6141,c_50,c_49]) ).
tcf(c_6280,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6145,c_50,c_49]) ).
tcf(c_6281,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6148,c_50,c_49]) ).
tcf(c_6282,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6146,c_50,c_49]) ).
tcf(c_6292,plain,
join(top,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(demodulation,[status(thm)],[c_5131,c_365]) ).
tcf(c_6293,plain,
join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_6292,c_375]) ).
tcf(c_6294,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_6292,c_50]) ).
tcf(c_6296,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = converse(top),
inference(superposition,[status(thm)],[c_6292,c_2353]) ).
tcf(c_6300,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6296,c_2343]) ).
tcf(c_6301,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6293,c_50,c_49]) ).
tcf(c_6302,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6301,c_107]) ).
tcf(c_6308,plain,
join(top,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(demodulation,[status(thm)],[c_5137,c_365]) ).
tcf(c_6309,plain,
join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_6308,c_375]) ).
tcf(c_6310,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_6308,c_50]) ).
tcf(c_6312,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = converse(top),
inference(superposition,[status(thm)],[c_6308,c_2353]) ).
tcf(c_6316,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6312,c_2343]) ).
tcf(c_6317,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6309,c_50,c_49]) ).
tcf(c_6318,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6317,c_107]) ).
tcf(c_6320,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(demodulation,[status(thm)],[c_5568,c_1631]) ).
tcf(c_6321,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_5564,c_6320]) ).
tcf(c_6322,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5423,c_6320]) ).
tcf(c_6323,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(demodulation,[status(thm)],[c_4160,c_6320]) ).
tcf(c_6324,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(demodulation,[status(thm)],[c_4158,c_6320]) ).
tcf(c_6325,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_257,c_6320]) ).
tcf(c_6327,plain,
join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))) = join(iPr_def_11,complement(join(top,join(iPr_def_11,top)))),
inference(superposition,[status(thm)],[c_107,c_6320]) ).
tcf(c_6328,plain,
join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))) = join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,iPr_def_10)))),
inference(superposition,[status(thm)],[c_192,c_6320]) ).
tcf(c_6329,plain,
join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11)))) = join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))),
inference(superposition,[status(thm)],[c_1671,c_6320]) ).
tcf(c_6330,plain,
join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))) = join(iPr_def_11,complement(join(zero,join(iPr_def_11,zero)))),
inference(superposition,[status(thm)],[c_1431,c_6320]) ).
tcf(c_6331,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_49,c_6320]) ).
tcf(c_6333,plain,
join(iPr_def_11,join(complement(complement(iPr_def_11)),complement(top))) = join(iPr_def_11,complement(join(complement(iPr_def_11),top))),
inference(superposition,[status(thm)],[c_59,c_6320]) ).
tcf(c_6334,plain,
join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_1654,c_6320]) ).
tcf(c_6335,plain,
join(iPr_def_11,join(complement(top),complement(top))) = join(iPr_def_11,complement(join(top,top))),
inference(superposition,[status(thm)],[c_1754,c_6320]) ).
tcf(c_6337,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_252,c_6320]) ).
tcf(c_6338,plain,
! [X0: $i] : join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(iPr_def_11))) = join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11))),
inference(superposition,[status(thm)],[c_349,c_6320]) ).
tcf(c_6339,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,complement(join(iPr_def_11,X0)))),complement(top))) = join(iPr_def_11,complement(join(join(X0,complement(join(iPr_def_11,X0))),top))),
inference(superposition,[status(thm)],[c_375,c_6320]) ).
tcf(c_6340,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(join(top,X0)))) = join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),join(top,X0)))),
inference(superposition,[status(thm)],[c_360,c_6320]) ).
tcf(c_6341,plain,
join(iPr_def_11,join(complement(zero),complement(iPr_def_11))) = join(iPr_def_11,complement(join(zero,iPr_def_11))),
inference(superposition,[status(thm)],[c_1429,c_6320]) ).
tcf(c_6342,plain,
! [X0: $i] : join(iPr_def_11,join(complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))),complement(iPr_def_11))) = join(iPr_def_11,complement(join(composition(X0,complement(composition(converse(X0),iPr_def_10))),iPr_def_11))),
inference(superposition,[status(thm)],[c_432,c_6320]) ).
tcf(c_6343,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_894,c_6320]) ).
tcf(c_6344,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_897,c_6320]) ).
tcf(c_6345,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(join(iPr_def_11,X0),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_1747,c_6320]) ).
tcf(c_6346,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0)))) = join(iPr_def_11,complement(join(join(top,X0),join(top,X0)))),
inference(superposition,[status(thm)],[c_1783,c_6320]) ).
tcf(c_6347,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_1888,c_6320]) ).
tcf(c_6348,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_1897,c_6320]) ).
tcf(c_6349,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_1901,c_6320]) ).
tcf(c_6350,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(superposition,[status(thm)],[c_1903,c_6320]) ).
tcf(c_6351,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_2221,c_6320]) ).
tcf(c_6352,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_2225,c_6320]) ).
tcf(c_6353,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_2231,c_6320]) ).
tcf(c_6354,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(superposition,[status(thm)],[c_2233,c_6320]) ).
tcf(c_6355,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_2864,c_6320]) ).
tcf(c_6356,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_2866,c_6320]) ).
tcf(c_6357,plain,
join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_11))) = join(iPr_def_11,complement(join(iPr_def_12,iPr_def_11))),
inference(superposition,[status(thm)],[c_3207,c_6320]) ).
tcf(c_6358,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_3214,c_6320]) ).
tcf(c_6359,plain,
join(iPr_def_11,join(complement(complement(iPr_def_12)),complement(top))) = join(iPr_def_11,complement(join(complement(iPr_def_12),top))),
inference(superposition,[status(thm)],[c_4192,c_6320]) ).
tcf(c_6360,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_4183,c_6320]) ).
tcf(c_6361,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_5562,c_6320]) ).
tcf(c_6362,plain,
! [X0: $i] : join(iPr_def_11,join(join(complement(X0),complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))) = top,
inference(superposition,[status(thm)],[c_6320,c_375]) ).
tcf(c_6363,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(complement(X0),complement(join(iPr_def_11,X0))),X1)) = join(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),X1),
inference(superposition,[status(thm)],[c_6320,c_50]) ).
tcf(c_6364,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(X0),complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))) = join(iPr_def_11,complement(join(join(complement(X0),complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_6320,c_6320]) ).
tcf(c_6365,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(complement(X0),complement(join(iPr_def_11,X0)))),join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6320,c_5562]) ).
tcf(c_6366,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6320,c_1747]) ).
tcf(c_6367,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))) = join(top,join(complement(X0),complement(join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6320,c_365]) ).
tcf(c_6368,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_6320,c_252]) ).
tcf(c_6369,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))) = join(top,complement(join(iPr_def_11,iPr_def_11))),
inference(superposition,[status(thm)],[c_6320,c_360]) ).
tcf(c_6371,plain,
join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12))) = join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_6357,c_50,c_49]) ).
tcf(c_6372,plain,
join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_6371,c_1671,c_3207]) ).
tcf(c_6373,plain,
join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6372,c_50,c_49]) ).
tcf(c_6375,plain,
join(iPr_def_11,join(complement(iPr_def_11),complement(zero))) = join(iPr_def_11,complement(join(iPr_def_11,zero))),
inference(theory_normalisation,[status(thm)],[c_6341,c_50,c_49]) ).
tcf(c_6377,plain,
join(iPr_def_11,join(zero,zero)) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_6335,c_107,c_1050]) ).
tcf(c_6383,plain,
join(iPr_def_11,join(complement(top),complement(complement(iPr_def_12)))) = join(iPr_def_11,complement(join(top,complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_6359,c_50,c_49]) ).
tcf(c_6384,plain,
join(iPr_def_11,join(zero,complement(complement(iPr_def_12)))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_6383,c_107,c_4236]) ).
tcf(c_6385,plain,
join(iPr_def_11,join(complement(top),complement(complement(iPr_def_11)))) = join(iPr_def_11,complement(join(top,complement(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_6333,c_50,c_49]) ).
tcf(c_6386,plain,
join(iPr_def_11,complement(join(top,iPr_def_10))) = join(iPr_def_11,join(zero,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_6385,c_107,c_192,c_1671]) ).
tcf(c_6387,plain,
join(iPr_def_11,complement(join(iPr_def_10,top))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(theory_normalisation,[status(thm)],[c_6386,c_50,c_49]) ).
tcf(c_6389,plain,
join(iPr_def_11,join(top,complement(join(iPr_def_11,zero)))) = join(iPr_def_11,complement(join(iPr_def_11,join(zero,zero)))),
inference(theory_normalisation,[status(thm)],[c_6330,c_50,c_49]) ).
tcf(c_6391,plain,
join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))) = join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_6329,c_50,c_49]) ).
tcf(c_6392,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_10)) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_6391,c_1654,c_1671]) ).
tcf(c_6393,plain,
join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))) = join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_10,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_6328,c_50,c_49]) ).
tcf(c_6395,plain,
join(iPr_def_11,join(zero,complement(join(iPr_def_11,top)))) = join(iPr_def_11,complement(join(iPr_def_11,join(top,top)))),
inference(theory_normalisation,[status(thm)],[c_6327,c_50,c_49]) ).
tcf(c_6397,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6362,c_50,c_49]) ).
tcf(c_6398,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_6397,c_6322]) ).
tcf(c_6399,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_6398,c_50,c_49]) ).
tcf(c_6400,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),X1))) = join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),X1)),
inference(theory_normalisation,[status(thm)],[c_6363,c_50,c_49]) ).
tcf(c_6401,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_12))))),
inference(theory_normalisation,[status(thm)],[c_6360,c_50,c_49]) ).
tcf(c_6402,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_12)),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_6401,c_4183]) ).
tcf(c_6403,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_12,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,iPr_def_12))))),
inference(theory_normalisation,[status(thm)],[c_6358,c_50,c_49]) ).
tcf(c_6404,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(top,X0)),complement(join(top,X0)))) = join(iPr_def_11,complement(join(top,join(X0,join(top,X0))))),
inference(theory_normalisation,[status(thm)],[c_6346,c_50,c_49]) ).
tcf(c_6405,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0))))),
inference(theory_normalisation,[status(thm)],[c_6345,c_50,c_49]) ).
tcf(c_6406,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(top,X0)),complement(join(complement(iPr_def_11),X0)))) = join(iPr_def_11,complement(join(top,join(X0,join(X0,complement(iPr_def_11)))))),
inference(theory_normalisation,[status(thm)],[c_6340,c_50,c_49]) ).
tcf(c_6407,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(top,X0)),complement(join(iPr_def_10,X0)))) = join(iPr_def_11,complement(join(top,join(X0,join(X0,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_6406,c_1671]) ).
tcf(c_6408,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_10,X0)),complement(join(top,X0)))) = join(iPr_def_11,complement(join(iPr_def_10,join(X0,join(X0,top))))),
inference(theory_normalisation,[status(thm)],[c_6407,c_50,c_49]) ).
tcf(c_6409,plain,
! [X0: $i] : join(iPr_def_11,join(complement(top),complement(join(X0,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_6339,c_50,c_49]) ).
tcf(c_6410,plain,
! [X0: $i] : join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))),
inference(light_normalisation,[status(thm)],[c_6409,c_107]) ).
tcf(c_6411,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))) = join(iPr_def_11,complement(join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))))),
inference(theory_normalisation,[status(thm)],[c_6342,c_50,c_49]) ).
tcf(c_6412,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_6411,c_432,c_1671]) ).
tcf(c_6413,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6412,c_50,c_49]) ).
tcf(c_6414,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_6413,c_209]) ).
tcf(c_6415,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))) = join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))),
inference(theory_normalisation,[status(thm)],[c_6338,c_50,c_49]) ).
tcf(c_6416,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_6415,c_349,c_1671]) ).
tcf(c_6417,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6416,c_50,c_49]) ).
tcf(c_6418,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_6417,c_209]) ).
tcf(c_6419,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))),
inference(theory_normalisation,[status(thm)],[c_6337,c_50,c_49]) ).
tcf(c_6420,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_6419,c_252]) ).
tcf(c_6421,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_6347,c_50,c_49]) ).
tcf(c_6422,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(X0),complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6364,c_50,c_49]) ).
tcf(c_6424,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))),
inference(theory_normalisation,[status(thm)],[c_6351,c_50,c_49]) ).
tcf(c_6425,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_6361,c_50,c_49]) ).
tcf(c_6426,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_6425,c_5562]) ).
tcf(c_6427,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_6352,c_50,c_49]) ).
tcf(c_6428,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_6427,c_2225]) ).
tcf(c_6429,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6348,c_50,c_49]) ).
tcf(c_6430,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_6429,c_1897]) ).
tcf(c_6431,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6343,c_50,c_49]) ).
tcf(c_6432,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_6431,c_894]) ).
tcf(c_6433,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6344,c_50,c_49]) ).
tcf(c_6434,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_6433,c_897]) ).
tcf(c_6435,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6349,c_50,c_49]) ).
tcf(c_6436,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6353,c_50,c_49]) ).
tcf(c_6437,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6355,c_50,c_49]) ).
tcf(c_6438,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_6437,c_2864]) ).
tcf(c_6439,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6350,c_50,c_49]) ).
tcf(c_6440,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6356,c_50,c_49]) ).
tcf(c_6441,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_6440,c_2866]) ).
tcf(c_6442,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6354,c_50,c_49]) ).
tcf(c_6443,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))) = join(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_252,c_6331]) ).
tcf(c_6444,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_5562,c_6400]) ).
tcf(c_6445,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6444,c_50,c_49]) ).
tcf(c_6455,plain,
! [X0: $i] : join(top,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(demodulation,[status(thm)],[c_5139,c_365]) ).
tcf(c_6456,plain,
! [X0: $i] : join(top,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_55,c_6455]) ).
tcf(c_6457,plain,
! [X0: $i,X1: $i] : join(top,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_985,c_6455]) ).
tcf(c_6458,plain,
! [X0: $i,X1: $i] : join(top,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_221,c_6455]) ).
tcf(c_6459,plain,
! [X0: $i,X1: $i] : join(top,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_765,c_6455]) ).
tcf(c_6460,plain,
! [X0: $i,X1: $i] : join(top,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_222,c_6455]) ).
tcf(c_6461,plain,
! [X0: $i,X1: $i] : join(top,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_225,c_6455]) ).
tcf(c_6462,plain,
! [X0: $i,X1: $i] : join(top,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_226,c_6455]) ).
tcf(c_6463,plain,
join(top,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_2343,c_6455]) ).
tcf(c_6464,plain,
join(top,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_1950,c_6455]) ).
tcf(c_6465,plain,
join(top,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_1689,c_6455]) ).
tcf(c_6466,plain,
! [X0: $i] : join(top,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_1723,c_6455]) ).
tcf(c_6467,plain,
! [X0: $i] : join(top,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_1729,c_6455]) ).
tcf(c_6468,plain,
! [X0: $i] : join(top,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_1975,c_6455]) ).
tcf(c_6469,plain,
! [X0: $i] : join(top,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_2357,c_6455]) ).
tcf(c_6470,plain,
! [X0: $i] : join(top,composition(join(top,converse(X0)),composition(complement(composition(join(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_2353,c_6455]) ).
tcf(c_6471,plain,
! [X0: $i] : join(top,composition(join(top,converse(X0)),composition(complement(composition(join(X0,top),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_2359,c_6455]) ).
tcf(c_6472,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_52,c_6455]) ).
tcf(c_6473,plain,
join(top,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_1360,c_6455]) ).
tcf(c_6474,plain,
join(top,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_1708,c_6455]) ).
tcf(c_6475,plain,
join(top,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(superposition,[status(thm)],[c_2775,c_6455]) ).
tcf(c_6476,plain,
! [X0: $i] : join(top,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_6455,c_375]) ).
tcf(c_6477,plain,
! [X0: $i,X1: $i] : join(top,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_6455,c_50]) ).
tcf(c_6479,plain,
! [X0: $i] : join(top,converse(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = converse(top),
inference(superposition,[status(thm)],[c_6455,c_2353]) ).
tcf(c_6483,plain,
join(top,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6474,c_1671,c_1689]) ).
tcf(c_6484,plain,
join(top,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6473,c_1431]) ).
tcf(c_6485,plain,
join(top,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6475,c_1431]) ).
tcf(c_6486,plain,
! [X0: $i] : join(top,converse(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6479,c_2343]) ).
tcf(c_6487,plain,
! [X0: $i] : join(top,join(complement(top),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6476,c_50,c_49]) ).
tcf(c_6488,plain,
! [X0: $i] : join(top,join(zero,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6487,c_107]) ).
tcf(c_6489,plain,
join(top,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = top,
inference(demodulation,[status(thm)],[c_5141,c_365]) ).
tcf(c_6490,plain,
join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_6489,c_375]) ).
tcf(c_6491,plain,
! [X0: $i] : join(top,join(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_6489,c_50]) ).
tcf(c_6493,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = converse(top),
inference(superposition,[status(thm)],[c_6489,c_2353]) ).
tcf(c_6497,plain,
join(top,converse(composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6493,c_2343]) ).
tcf(c_6498,plain,
join(top,join(complement(top),composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6490,c_50,c_49]) ).
tcf(c_6499,plain,
join(top,join(zero,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6498,c_107]) ).
tcf(c_6503,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_5572,c_6320]) ).
tcf(c_6533,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(X0,X1)))),complement(join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,join(X0,X1)))))))))) = join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,join(X0,X1)))))),
inference(superposition,[status(thm)],[c_50,c_6503]) ).
tcf(c_6535,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_10))),complement(join(iPr_def_11,complement(join(top,iPr_def_10))))))) = join(iPr_def_11,complement(join(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_365,c_6503]) ).
tcf(c_6536,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))) = join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))),
inference(superposition,[status(thm)],[c_1747,c_6503]) ).
tcf(c_6537,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,complement(join(iPr_def_11,top))))))) = join(iPr_def_11,complement(join(iPr_def_11,top))),
inference(superposition,[status(thm)],[c_1313,c_6503]) ).
tcf(c_6538,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_10))),complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))) = join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))),
inference(superposition,[status(thm)],[c_2696,c_6503]) ).
tcf(c_6539,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_49,c_6503]) ).
tcf(c_6541,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(complement(iPr_def_11),top))))))) = join(iPr_def_11,complement(join(complement(iPr_def_11),top))),
inference(superposition,[status(thm)],[c_59,c_6503]) ).
tcf(c_6543,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(top,top))))))) = join(iPr_def_11,complement(join(top,top))),
inference(superposition,[status(thm)],[c_1754,c_6503]) ).
tcf(c_6544,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(join(join(complement(X0),complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(join(join(complement(X0),complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_6320,c_6503]) ).
tcf(c_6545,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11))))))) = join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11))),
inference(superposition,[status(thm)],[c_349,c_6503]) ).
tcf(c_6546,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(join(X0,complement(join(iPr_def_11,X0))),top))))))) = join(iPr_def_11,complement(join(join(X0,complement(join(iPr_def_11,X0))),top))),
inference(superposition,[status(thm)],[c_375,c_6503]) ).
tcf(c_6547,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),join(top,X0)))))))) = join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),join(top,X0)))),
inference(superposition,[status(thm)],[c_360,c_6503]) ).
tcf(c_6548,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(zero,iPr_def_11))))))) = join(iPr_def_11,complement(join(zero,iPr_def_11))),
inference(superposition,[status(thm)],[c_1429,c_6503]) ).
tcf(c_6549,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(composition(X0,complement(composition(converse(X0),iPr_def_10))),iPr_def_11))))))) = join(iPr_def_11,complement(join(composition(X0,complement(composition(converse(X0),iPr_def_10))),iPr_def_11))),
inference(superposition,[status(thm)],[c_432,c_6503]) ).
tcf(c_6550,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_894,c_6503]) ).
tcf(c_6551,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_897,c_6503]) ).
tcf(c_6552,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(join(iPr_def_11,X0),join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(join(iPr_def_11,X0),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_1747,c_6503]) ).
tcf(c_6553,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(join(join(top,X0),join(top,X0)))))))) = join(iPr_def_11,complement(join(join(top,X0),join(top,X0)))),
inference(superposition,[status(thm)],[c_1783,c_6503]) ).
tcf(c_6554,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_1888,c_6503]) ).
tcf(c_6555,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_1897,c_6503]) ).
tcf(c_6556,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_1901,c_6503]) ).
tcf(c_6557,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(superposition,[status(thm)],[c_1903,c_6503]) ).
tcf(c_6558,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_2221,c_6503]) ).
tcf(c_6559,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_2225,c_6503]) ).
tcf(c_6560,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),
inference(superposition,[status(thm)],[c_2231,c_6503]) ).
tcf(c_6561,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(superposition,[status(thm)],[c_2233,c_6503]) ).
tcf(c_6562,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_2866,c_6503]) ).
tcf(c_6563,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_12,iPr_def_11))))))) = join(iPr_def_11,complement(join(iPr_def_12,iPr_def_11))),
inference(superposition,[status(thm)],[c_3207,c_6503]) ).
tcf(c_6564,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_3214,c_6503]) ).
tcf(c_6565,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(complement(iPr_def_12),top))))))) = join(iPr_def_11,complement(join(complement(iPr_def_12),top))),
inference(superposition,[status(thm)],[c_4192,c_6503]) ).
tcf(c_6566,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_4183,c_6503]) ).
tcf(c_6568,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))) = top,
inference(superposition,[status(thm)],[c_6503,c_375]) ).
tcf(c_6569,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),X1)) = join(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),X1),
inference(superposition,[status(thm)],[c_6503,c_50]) ).
tcf(c_6570,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_6503,c_6503]) ).
tcf(c_6571,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))) = join(iPr_def_11,complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_6503,c_6320]) ).
tcf(c_6573,plain,
! [X0: $i] : join(top,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))) = join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_6503,c_365]) ).
tcf(c_6574,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),
inference(superposition,[status(thm)],[c_6503,c_2233]) ).
tcf(c_6575,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6503,c_2866]) ).
tcf(c_6576,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),
inference(superposition,[status(thm)],[c_6503,c_1903]) ).
tcf(c_6577,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),
inference(superposition,[status(thm)],[c_6503,c_2231]) ).
tcf(c_6578,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),
inference(superposition,[status(thm)],[c_6503,c_1901]) ).
tcf(c_6579,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6503,c_900]) ).
tcf(c_6580,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6503,c_1298]) ).
tcf(c_6581,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6503,c_2225]) ).
tcf(c_6582,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6503,c_2221]) ).
tcf(c_6583,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6503,c_897]) ).
tcf(c_6584,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6503,c_1897]) ).
tcf(c_6585,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6503,c_1888]) ).
tcf(c_6586,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6503,c_1280]) ).
tcf(c_6587,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6503,c_894]) ).
tcf(c_6588,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6503,c_705]) ).
tcf(c_6589,plain,
! [X0: $i] : join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6503,c_233]) ).
tcf(c_6590,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),complement(iPr_def_11)))) = join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),
inference(superposition,[status(thm)],[c_6503,c_218]) ).
tcf(c_6591,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))))))) = join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_6563,c_50,c_49]) ).
tcf(c_6595,plain,
join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))) = join(iPr_def_11,complement(join(iPr_def_11,zero))),
inference(theory_normalisation,[status(thm)],[c_6548,c_50,c_49]) ).
tcf(c_6604,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(top,complement(iPr_def_12)))))))) = join(iPr_def_11,complement(join(top,complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_6565,c_50,c_49]) ).
tcf(c_6606,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(top,complement(iPr_def_11)))))))) = join(iPr_def_11,complement(join(top,complement(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_6541,c_50,c_49]) ).
tcf(c_6607,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(join(top,iPr_def_10))))))) = join(iPr_def_11,complement(join(top,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_6606,c_107,c_1431,c_1671]) ).
tcf(c_6608,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(join(iPr_def_10,top))))))) = join(iPr_def_11,complement(join(iPr_def_10,top))),
inference(theory_normalisation,[status(thm)],[c_6607,c_50,c_49]) ).
tcf(c_6610,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))) = join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_6538,c_50,c_49]) ).
tcf(c_6616,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_10,top))))))) = join(iPr_def_11,complement(join(iPr_def_10,top))),
inference(theory_normalisation,[status(thm)],[c_6535,c_50,c_49]) ).
tcf(c_6624,plain,
! [X0: $i] : join(top,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))) = join(top,join(complement(X0),complement(join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_6573,c_6367]) ).
tcf(c_6625,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6589,c_50,c_49]) ).
tcf(c_6626,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6568,c_50,c_49]) ).
tcf(c_6627,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),X1)) = join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),X1)),
inference(theory_normalisation,[status(thm)],[c_6569,c_50,c_49]) ).
tcf(c_6628,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_12))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_12))))),
inference(theory_normalisation,[status(thm)],[c_6566,c_50,c_49]) ).
tcf(c_6630,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,iPr_def_12))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,iPr_def_12))))),
inference(theory_normalisation,[status(thm)],[c_6564,c_50,c_49]) ).
tcf(c_6631,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(join(top,join(X0,join(top,X0))))))))) = join(iPr_def_11,complement(join(top,join(X0,join(top,X0))))),
inference(theory_normalisation,[status(thm)],[c_6553,c_50,c_49]) ).
tcf(c_6632,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0))))),
inference(theory_normalisation,[status(thm)],[c_6552,c_50,c_49]) ).
tcf(c_6633,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))))))) = join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_6546,c_50,c_49]) ).
tcf(c_6634,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0)))))))))) = join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0)))))),
inference(light_normalisation,[status(thm)],[c_6633,c_107,c_1431,c_6410]) ).
tcf(c_6642,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))) = join(iPr_def_11,complement(join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))))),
inference(theory_normalisation,[status(thm)],[c_6549,c_50,c_49]) ).
tcf(c_6646,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(join(top,join(X0,join(X0,complement(iPr_def_11)))))))))) = join(iPr_def_11,complement(join(top,join(X0,join(X0,complement(iPr_def_11)))))),
inference(theory_normalisation,[status(thm)],[c_6547,c_50,c_49]) ).
tcf(c_6647,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(join(top,join(X0,join(X0,iPr_def_10))))))))) = join(iPr_def_11,complement(join(top,join(X0,join(X0,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_6646,c_1671]) ).
tcf(c_6648,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(top,X0))),complement(join(iPr_def_11,complement(join(iPr_def_10,join(X0,join(X0,top))))))))) = join(iPr_def_11,complement(join(iPr_def_10,join(X0,join(X0,top))))),
inference(theory_normalisation,[status(thm)],[c_6647,c_50,c_49]) ).
tcf(c_6649,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))) = join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))),
inference(theory_normalisation,[status(thm)],[c_6545,c_50,c_49]) ).
tcf(c_6664,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_6585,c_50,c_49]) ).
tcf(c_6665,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_6582,c_50,c_49]) ).
tcf(c_6666,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(complement(iPr_def_11),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),
inference(theory_normalisation,[status(thm)],[c_6590,c_50,c_49]) ).
tcf(c_6667,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(iPr_def_10,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),
inference(light_normalisation,[status(thm)],[c_6666,c_1671]) ).
tcf(c_6668,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_6554,c_50,c_49]) ).
tcf(c_6670,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))),
inference(theory_normalisation,[status(thm)],[c_6558,c_50,c_49]) ).
tcf(c_6672,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6586,c_50,c_49]) ).
tcf(c_6673,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6544,c_50,c_49]) ).
tcf(c_6675,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6588,c_50,c_49]) ).
tcf(c_6676,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_6571,c_50,c_49]) ).
tcf(c_6677,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_6559,c_50,c_49]) ).
tcf(c_6681,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6555,c_50,c_49]) ).
tcf(c_6683,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6550,c_50,c_49]) ).
tcf(c_6689,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6581,c_50,c_49]) ).
tcf(c_6690,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6551,c_50,c_49]) ).
tcf(c_6694,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_6570,c_50,c_49]) ).
tcf(c_6697,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6587,c_50,c_49]) ).
tcf(c_6698,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6584,c_50,c_49]) ).
tcf(c_6699,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6583,c_50,c_49]) ).
tcf(c_6700,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6580,c_50,c_49]) ).
tcf(c_6701,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6579,c_50,c_49]) ).
tcf(c_6702,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_6578,c_50,c_49]) ).
tcf(c_6703,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_6577,c_50,c_49]) ).
tcf(c_6704,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_6576,c_50,c_49]) ).
tcf(c_6705,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_6574,c_50,c_49]) ).
tcf(c_6706,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6562,c_50,c_49]) ).
tcf(c_6708,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6556,c_50,c_49]) ).
tcf(c_6712,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6560,c_50,c_49]) ).
tcf(c_6714,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_6575,c_50,c_49]) ).
tcf(c_6715,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6557,c_50,c_49]) ).
tcf(c_6717,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6561,c_50,c_49]) ).
tcf(c_6727,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_264,c_6320]) ).
tcf(c_6758,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(X0,X1))),complement(complement(join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,join(X0,X1)))))))))))) = join(iPr_def_11,join(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_6727]) ).
tcf(c_6759,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_1336,c_6727]) ).
tcf(c_6760,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_10)),complement(complement(join(iPr_def_11,complement(join(top,iPr_def_10))))))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_365,c_6727]) ).
tcf(c_6761,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1747,c_6727]) ).
tcf(c_6762,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,top))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_1313,c_6727]) ).
tcf(c_6763,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_10)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_2696,c_6727]) ).
tcf(c_6764,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_6727]) ).
tcf(c_6766,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(complement(iPr_def_11),top))))))))) = top,
inference(superposition,[status(thm)],[c_59,c_6727]) ).
tcf(c_6767,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_6727]) ).
tcf(c_6768,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(top,top))))))))) = top,
inference(superposition,[status(thm)],[c_1754,c_6727]) ).
tcf(c_6769,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(join(join(complement(X0),complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6320,c_6727]) ).
tcf(c_6770,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_349,c_6727]) ).
tcf(c_6771,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(join(X0,complement(join(iPr_def_11,X0))),top))))))))) = top,
inference(superposition,[status(thm)],[c_375,c_6727]) ).
tcf(c_6772,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),complement(complement(join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),join(top,X0)))))))))) = join(top,X0),
inference(superposition,[status(thm)],[c_360,c_6727]) ).
tcf(c_6773,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(zero,iPr_def_11))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_6727]) ).
tcf(c_6774,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(composition(X0,complement(composition(converse(X0),iPr_def_10))),iPr_def_11))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_432,c_6727]) ).
tcf(c_6775,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_894,c_6727]) ).
tcf(c_6776,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_6727]) ).
tcf(c_6777,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(join(iPr_def_11,X0),join(iPr_def_11,X0)))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1747,c_6727]) ).
tcf(c_6778,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),complement(complement(join(iPr_def_11,complement(join(join(top,X0),join(top,X0)))))))))) = join(top,X0),
inference(superposition,[status(thm)],[c_1783,c_6727]) ).
tcf(c_6779,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_1888,c_6727]) ).
tcf(c_6780,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1897,c_6727]) ).
tcf(c_6781,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_1901,c_6727]) ).
tcf(c_6782,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1903,c_6727]) ).
tcf(c_6783,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_2221,c_6727]) ).
tcf(c_6784,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2225,c_6727]) ).
tcf(c_6785,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(superposition,[status(thm)],[c_2231,c_6727]) ).
tcf(c_6786,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2233,c_6727]) ).
tcf(c_6787,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_6727]) ).
tcf(c_6788,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(iPr_def_12,iPr_def_11))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3207,c_6727]) ).
tcf(c_6789,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(iPr_def_11,X0)))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_3214,c_6727]) ).
tcf(c_6790,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(complement(iPr_def_12),top))))))))) = top,
inference(superposition,[status(thm)],[c_4192,c_6727]) ).
tcf(c_6791,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(iPr_def_11,X0)))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_4183,c_6727]) ).
tcf(c_6792,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6503,c_6727]) ).
tcf(c_6794,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_6727,c_375]) ).
tcf(c_6795,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_6727,c_50]) ).
tcf(c_6796,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),join(iPr_def_11,X0)))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_6727,c_6727]) ).
tcf(c_6797,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6727,c_6503]) ).
tcf(c_6798,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6727,c_6320]) ).
tcf(c_6800,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(iPr_def_10,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_6727,c_365]) ).
tcf(c_6801,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_6727,c_2233]) ).
tcf(c_6802,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))))))))) = join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6727,c_2866]) ).
tcf(c_6803,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_6727,c_1903]) ).
tcf(c_6804,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11))),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_6727,c_2231]) ).
tcf(c_6805,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_6727,c_1901]) ).
tcf(c_6806,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6727,c_900]) ).
tcf(c_6807,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6727,c_1298]) ).
tcf(c_6808,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))) = join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6727,c_2225]) ).
tcf(c_6809,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_6727,c_2221]) ).
tcf(c_6810,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6727,c_897]) ).
tcf(c_6811,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6727,c_1897]) ).
tcf(c_6812,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_6727,c_1888]) ).
tcf(c_6813,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6727,c_1280]) ).
tcf(c_6814,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))) = join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6727,c_894]) ).
tcf(c_6815,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6727,c_705]) ).
tcf(c_6816,plain,
! [X0: $i] : join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6727,c_233]) ).
tcf(c_6817,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),complement(iPr_def_11)))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),
inference(superposition,[status(thm)],[c_6727,c_218]) ).
tcf(c_6818,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6767,c_1671]) ).
tcf(c_6819,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6818,c_50,c_49]) ).
tcf(c_6821,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6788,c_50,c_49]) ).
tcf(c_6825,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6773,c_50,c_49]) ).
tcf(c_6826,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6825,c_1671]) ).
tcf(c_6827,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6826,c_50,c_49]) ).
tcf(c_6828,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,zero))))))) = top,
inference(light_normalisation,[status(thm)],[c_6768,c_107,c_1050]) ).
tcf(c_6836,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(top,complement(iPr_def_12)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6790,c_50,c_49]) ).
tcf(c_6838,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(top,complement(iPr_def_11)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6766,c_50,c_49]) ).
tcf(c_6839,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,complement(join(top,iPr_def_10))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6838,c_107,c_1671]) ).
tcf(c_6840,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,complement(join(iPr_def_10,top))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6839,c_50,c_49]) ).
tcf(c_6848,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6763,c_50,c_49]) ).
tcf(c_6854,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(iPr_def_10,top))))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6760,c_50,c_49]) ).
tcf(c_6856,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6771,c_50,c_49]) ).
tcf(c_6857,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_6856,c_107,c_6410]) ).
tcf(c_6860,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6774,c_50,c_49]) ).
tcf(c_6864,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_6770,c_50,c_49]) ).
tcf(c_6876,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_6800,c_365]) ).
tcf(c_6877,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_12))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6791,c_50,c_49]) ).
tcf(c_6879,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,iPr_def_12))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6789,c_50,c_49]) ).
tcf(c_6880,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),complement(complement(join(iPr_def_11,complement(join(top,join(X0,join(top,X0))))))))))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_6778,c_50,c_49]) ).
tcf(c_6881,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6777,c_50,c_49]) ).
tcf(c_6887,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6816,c_50,c_49]) ).
tcf(c_6888,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_6794,c_50,c_49]) ).
tcf(c_6889,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),complement(complement(join(iPr_def_11,complement(join(top,join(X0,join(X0,complement(iPr_def_11)))))))))))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_6772,c_50,c_49]) ).
tcf(c_6890,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),complement(complement(join(iPr_def_11,complement(join(top,join(X0,join(X0,iPr_def_10))))))))))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_6889,c_1671]) ).
tcf(c_6891,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(top,X0)),complement(complement(join(iPr_def_11,complement(join(iPr_def_10,join(X0,join(X0,top))))))))))) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_6890,c_50,c_49]) ).
tcf(c_6895,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_6795,c_50,c_49]) ).
tcf(c_6896,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6812,c_50,c_49]) ).
tcf(c_6897,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6809,c_50,c_49]) ).
tcf(c_6898,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_6779,c_50,c_49]) ).
tcf(c_6900,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_6783,c_50,c_49]) ).
tcf(c_6902,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_6796,c_50,c_49]) ).
tcf(c_6908,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6784,c_50,c_49]) ).
tcf(c_6912,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6780,c_50,c_49]) ).
tcf(c_6914,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6775,c_50,c_49]) ).
tcf(c_6920,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(iPr_def_11),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6817,c_50,c_49]) ).
tcf(c_6921,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_10,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),
inference(light_normalisation,[status(thm)],[c_6920,c_1671]) ).
tcf(c_6922,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_6769,c_50,c_49]) ).
tcf(c_6924,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6776,c_50,c_49]) ).
tcf(c_6928,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6813,c_50,c_49]) ).
tcf(c_6929,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6798,c_50,c_49]) ).
tcf(c_6930,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_6929,c_6727]) ).
tcf(c_6931,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6815,c_50,c_49]) ).
tcf(c_6932,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_6792,c_50,c_49]) ).
tcf(c_6934,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_6787,c_50,c_49]) ).
tcf(c_6938,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6797,c_50,c_49]) ).
tcf(c_6940,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_6808,c_50,c_49]) ).
tcf(c_6941,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_6781,c_50,c_49]) ).
tcf(c_6943,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_6814,c_50,c_49]) ).
tcf(c_6944,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_6811,c_50,c_49]) ).
tcf(c_6945,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_6785,c_50,c_49]) ).
tcf(c_6947,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_6810,c_50,c_49]) ).
tcf(c_6948,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6807,c_50,c_49]) ).
tcf(c_6949,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6782,c_50,c_49]) ).
tcf(c_6951,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6806,c_50,c_49]) ).
tcf(c_6952,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_6805,c_50,c_49]) ).
tcf(c_6953,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_6786,c_50,c_49]) ).
tcf(c_6955,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_6804,c_50,c_49]) ).
tcf(c_6956,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6803,c_50,c_49]) ).
tcf(c_6957,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_6801,c_50,c_49]) ).
tcf(c_6958,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_6802,c_50,c_49]) ).
tcf(c_6986,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1693,c_1708]) ).
tcf(c_6995,plain,
! [X0: $i] : join(complement(X0),join(complement(X0),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_6986,c_375]) ).
tcf(c_6996,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(X0),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_6986,c_50]) ).
tcf(c_6997,plain,
! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_6986,c_360]) ).
tcf(c_7000,plain,
! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_6986,c_217]) ).
tcf(c_7001,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_6986,c_218]) ).
tcf(c_7002,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_6997,c_59]) ).
tcf(c_7003,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_7000,c_50,c_49]) ).
tcf(c_7004,plain,
! [X0: $i] : join(complement(complement(X0)),zero) = X0,
inference(light_normalisation,[status(thm)],[c_7003,c_59,c_107]) ).
tcf(c_7005,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_7004,c_50,c_49]) ).
tcf(c_7010,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = join(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_2225,c_6996]) ).
tcf(c_7011,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(demodulation,[status(thm)],[c_1901,c_7010]) ).
tcf(c_7013,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))) = join(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_1897,c_7011]) ).
tcf(c_7014,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1280,c_7011]) ).
tcf(c_7015,plain,
! [X0: $i] : join(X0,top) = top,
inference(demodulation,[status(thm)],[c_4734,c_7002]) ).
tcf(c_7016,plain,
! [X0: $i] : join(top,converse(X0)) = converse(top),
inference(demodulation,[status(thm)],[c_2359,c_7015]) ).
tcf(c_7018,plain,
! [X0: $i] : join(top,converse(X0)) = top,
inference(light_normalisation,[status(thm)],[c_7016,c_2343]) ).
tcf(c_7019,plain,
! [X0: $i] : converse(join(top,X0)) = top,
inference(demodulation,[status(thm)],[c_2353,c_7018]) ).
tcf(c_7021,plain,
composition(converse(iPr_def_10),iPr_def_11) = composition(zero,one),
inference(superposition,[status(thm)],[c_53,c_1923]) ).
tcf(c_7022,plain,
composition(converse(iPr_def_10),iPr_def_12) = composition(zero,top),
inference(superposition,[status(thm)],[c_116,c_1923]) ).
tcf(c_7023,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = composition(zero,composition(top,X0)),
inference(superposition,[status(thm)],[c_382,c_1923]) ).
tcf(c_7024,plain,
composition(converse(iPr_def_10),composition(iPr_def_12,top)) = composition(zero,join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_559,c_1923]) ).
tcf(c_7025,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_11,X0))) = composition(join(converse(iPr_def_10),X1),composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_1923,c_54]) ).
tcf(c_7026,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_10),composition(composition(iPr_def_11,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_1923,c_52]) ).
tcf(c_7027,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_11,X1)),composition(zero,X1)) = composition(join(X0,converse(iPr_def_10)),composition(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_1923,c_54]) ).
tcf(c_7028,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(iPr_def_10)),complement(composition(zero,X0)))) = complement(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_1923,c_76]) ).
tcf(c_7029,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_10) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_1923,c_226]) ).
tcf(c_7030,plain,
composition(zero,one) = zero,
inference(light_normalisation,[status(thm)],[c_7021,c_1360]) ).
tcf(c_7031,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_10) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_7029,c_1975]) ).
tcf(c_7032,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_11,X0))) = composition(join(X1,converse(iPr_def_10)),composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_7027,c_50,c_49]) ).
tcf(c_7033,plain,
! [X0: $i] : join(composition(zero,top),composition(X0,iPr_def_12)) = composition(join(converse(iPr_def_10),X0),iPr_def_12),
inference(superposition,[status(thm)],[c_7022,c_54]) ).
tcf(c_7034,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = composition(composition(zero,top),X0),
inference(superposition,[status(thm)],[c_7022,c_52]) ).
tcf(c_7035,plain,
! [X0: $i] : join(composition(X0,iPr_def_12),composition(zero,top)) = composition(join(X0,converse(iPr_def_10)),iPr_def_12),
inference(superposition,[status(thm)],[c_7022,c_54]) ).
tcf(c_7036,plain,
join(complement(iPr_def_12),composition(converse(converse(iPr_def_10)),complement(composition(zero,top)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_7022,c_76]) ).
tcf(c_7037,plain,
composition(converse(iPr_def_12),iPr_def_10) = converse(composition(zero,top)),
inference(superposition,[status(thm)],[c_7022,c_226]) ).
tcf(c_7038,plain,
! [X0: $i] : composition(composition(zero,top),X0) = composition(zero,composition(top,X0)),
inference(light_normalisation,[status(thm)],[c_7034,c_7023]) ).
tcf(c_7040,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(zero,one),
inference(superposition,[status(thm)],[c_53,c_3198]) ).
tcf(c_7041,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(zero,top),
inference(superposition,[status(thm)],[c_193,c_3198]) ).
tcf(c_7042,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = composition(zero,composition(top,X0)),
inference(superposition,[status(thm)],[c_383,c_3198]) ).
tcf(c_7043,plain,
composition(zero,join(iPr_def_10,iPr_def_12)) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_561,c_3198]) ).
tcf(c_7044,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_10,X0))) = composition(join(converse(iPr_def_11),X1),composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_3198,c_54]) ).
tcf(c_7045,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_11),composition(composition(iPr_def_10,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_3198,c_52]) ).
tcf(c_7046,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_10,X1)),composition(zero,X1)) = composition(join(X0,converse(iPr_def_11)),composition(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_3198,c_54]) ).
tcf(c_7047,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(converse(iPr_def_11)),complement(composition(zero,X0)))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_3198,c_76]) ).
tcf(c_7048,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_11) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_3198,c_226]) ).
tcf(c_7049,plain,
composition(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_7041,c_3196]) ).
tcf(c_7051,plain,
composition(zero,join(iPr_def_10,iPr_def_12)) = zero,
inference(light_normalisation,[status(thm)],[c_7043,c_3196]) ).
tcf(c_7052,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_11) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_7048,c_1975]) ).
tcf(c_7053,plain,
! [X0: $i] : composition(zero,composition(top,X0)) = composition(zero,X0),
inference(light_normalisation,[status(thm)],[c_7042,c_3198]) ).
tcf(c_7054,plain,
! [X0: $i,X1: $i] : join(composition(zero,X0),composition(X1,composition(iPr_def_10,X0))) = composition(join(X1,converse(iPr_def_11)),composition(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_7046,c_50,c_49]) ).
tcf(c_7055,plain,
composition(converse(iPr_def_10),iPr_def_12) = zero,
inference(demodulation,[status(thm)],[c_7022,c_7049]) ).
tcf(c_7094,plain,
! [X0: $i] : join(X0,join(top,complement(top))) = top,
inference(superposition,[status(thm)],[c_7015,c_375]) ).
tcf(c_7095,plain,
! [X0: $i,X1: $i] : join(X0,join(top,X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_7015,c_50]) ).
tcf(c_7096,plain,
! [X0: $i] : join(top,X0) = top,
inference(superposition,[status(thm)],[c_7015,c_49]) ).
tcf(c_7098,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,top)) = top,
inference(superposition,[status(thm)],[c_7015,c_50]) ).
tcf(c_7099,plain,
! [X0: $i] : join(X0,top) = join(top,top),
inference(superposition,[status(thm)],[c_7015,c_360]) ).
tcf(c_7100,plain,
! [X0: $i] : join(complement(top),complement(join(complement(top),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_7015,c_217]) ).
tcf(c_7105,plain,
! [X0: $i] : join(converse(top),X0) = converse(top),
inference(superposition,[status(thm)],[c_7015,c_985]) ).
tcf(c_7106,plain,
! [X0: $i] : join(X0,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_7015,c_221]) ).
tcf(c_7111,plain,
join(one,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_7015,c_1723]) ).
tcf(c_7112,plain,
join(one,top) = top,
inference(light_normalisation,[status(thm)],[c_7111,c_2343]) ).
tcf(c_7116,plain,
! [X0: $i] : join(X0,join(top,zero)) = top,
inference(light_normalisation,[status(thm)],[c_7094,c_107]) ).
tcf(c_7117,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_7100,c_107]) ).
tcf(c_7122,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_11)) = top,
inference(demodulation,[status(thm)],[c_454,c_7096]) ).
tcf(c_7123,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = top,
inference(demodulation,[status(thm)],[c_365,c_7096]) ).
tcf(c_7124,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_360,c_7096]) ).
tcf(c_7125,plain,
! [X0: $i] : join(zero,composition(X0,top)) = composition(join(zero,X0),top),
inference(superposition,[status(thm)],[c_7049,c_54]) ).
tcf(c_7127,plain,
! [X0: $i] : join(composition(X0,top),zero) = composition(join(X0,zero),top),
inference(superposition,[status(thm)],[c_7049,c_54]) ).
tcf(c_7128,plain,
join(complement(top),composition(converse(zero),complement(zero))) = complement(top),
inference(superposition,[status(thm)],[c_7049,c_76]) ).
tcf(c_7129,plain,
composition(converse(top),zero) = converse(zero),
inference(superposition,[status(thm)],[c_7049,c_1975]) ).
tcf(c_7130,plain,
composition(top,zero) = zero,
inference(light_normalisation,[status(thm)],[c_7129,c_1950,c_2343]) ).
tcf(c_7132,plain,
! [X0: $i] : join(zero,composition(X0,top)) = composition(join(X0,zero),top),
inference(theory_normalisation,[status(thm)],[c_7127,c_50,c_49]) ).
tcf(c_7133,plain,
! [X0: $i] : join(zero,composition(X0,top)) = composition(X0,top),
inference(light_normalisation,[status(thm)],[c_7132,c_1429]) ).
tcf(c_7139,plain,
! [X0: $i,X1: $i] : join(top,join(X0,X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_7096,c_50]) ).
tcf(c_7142,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_7096,c_218]) ).
tcf(c_7145,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top)))))))))))) = join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top)))))))),
inference(superposition,[status(thm)],[c_7096,c_2233]) ).
tcf(c_7146,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top))))))))))))))))))) = top,
inference(superposition,[status(thm)],[c_7096,c_2866]) ).
tcf(c_7147,plain,
join(iPr_def_11,complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top))))))))))))) = join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top)))))))),
inference(superposition,[status(thm)],[c_7096,c_1903]) ).
tcf(c_7148,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7096,c_900]) ).
tcf(c_7149,plain,
join(complement(top),complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7096,c_1298]) ).
tcf(c_7150,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(top))),complement(complement(top))))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7096,c_2221]) ).
tcf(c_7151,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top))))))))))))) = top,
inference(superposition,[status(thm)],[c_7096,c_897]) ).
tcf(c_7152,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top))))))))))) = top,
inference(superposition,[status(thm)],[c_7096,c_894]) ).
tcf(c_7153,plain,
join(complement(top),complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7096,c_705]) ).
tcf(c_7154,plain,
join(complement(top),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7096,c_233]) ).
tcf(c_7159,plain,
join(iPr_def_11,complement(complement(join(complement(join(top,iPr_def_11)),complement(complement(join(iPr_def_11,complement(top)))))))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7096,c_1903]) ).
tcf(c_7160,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(top)))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7096,c_6727]) ).
tcf(c_7161,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,top))),complement(join(iPr_def_11,complement(top)))))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7096,c_6503]) ).
tcf(c_7162,plain,
join(zero,complement(join(iPr_def_11,zero))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7154,c_107]) ).
tcf(c_7163,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_7142,c_107]) ).
tcf(c_7165,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(top)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_7150,c_50,c_49]) ).
tcf(c_7167,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(top))),complement(complement(join(iPr_def_11,top)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_7161,c_50,c_49]) ).
tcf(c_7169,plain,
join(zero,complement(join(iPr_def_11,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7153,c_107]) ).
tcf(c_7170,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))) = join(iPr_def_11,top),
inference(light_normalisation,[status(thm)],[c_7160,c_107]) ).
tcf(c_7171,plain,
join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(top)))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_7159,c_50,c_49]) ).
tcf(c_7172,plain,
join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,zero))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_7171,c_107]) ).
tcf(c_7173,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(zero,complement(complement(join(iPr_def_11,zero)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7152,c_107]) ).
tcf(c_7178,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top))))))))))))) = join(iPr_def_11,complement(complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top)))))))),
inference(theory_normalisation,[status(thm)],[c_7147,c_50,c_49]) ).
tcf(c_7181,plain,
! [X0: $i] : join(zero,composition(X0,zero)) = composition(join(top,X0),zero),
inference(superposition,[status(thm)],[c_7130,c_54]) ).
tcf(c_7182,plain,
! [X0: $i] : composition(top,composition(zero,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_7130,c_52]) ).
tcf(c_7183,plain,
! [X0: $i] : join(composition(X0,zero),zero) = composition(join(X0,top),zero),
inference(superposition,[status(thm)],[c_7130,c_54]) ).
tcf(c_7184,plain,
join(complement(zero),composition(converse(top),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_7130,c_76]) ).
tcf(c_7185,plain,
composition(converse(zero),top) = converse(zero),
inference(superposition,[status(thm)],[c_7130,c_2357]) ).
tcf(c_7186,plain,
composition(iPr_def_11,zero) = composition(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_7130,c_382]) ).
tcf(c_7188,plain,
join(top,join(iPr_def_10,iPr_def_12)) = top,
inference(light_normalisation,[status(thm)],[c_7184,c_448,c_1431,c_2343]) ).
tcf(c_7189,plain,
! [X0: $i] : join(zero,composition(X0,zero)) = composition(join(X0,top),zero),
inference(theory_normalisation,[status(thm)],[c_7183,c_50,c_49]) ).
tcf(c_7190,plain,
! [X0: $i] : join(zero,composition(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_7189,c_7015,c_7130]) ).
tcf(c_7199,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(X1,iPr_def_11))),complement(complement(join(iPr_def_11,complement(join(X0,X1)))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_50,c_266]) ).
tcf(c_7201,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(iPr_def_10))))))) = top,
inference(superposition,[status(thm)],[c_209,c_266]) ).
tcf(c_7202,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(iPr_def_11))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_266]) ).
tcf(c_7203,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(top))))))) = top,
inference(superposition,[status(thm)],[c_7096,c_266]) ).
tcf(c_7208,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1888,c_266]) ).
tcf(c_7209,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_1903,c_266]) ).
tcf(c_7210,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))) = join(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11)))),iPr_def_11),
inference(superposition,[status(thm)],[c_2221,c_266]) ).
tcf(c_7211,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = join(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2233,c_266]) ).
tcf(c_7212,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_266]) ).
tcf(c_7213,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_12,iPr_def_11)),complement(complement(top))))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_4192,c_266]) ).
tcf(c_7214,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))) = join(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6503,c_266]) ).
tcf(c_7215,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))) = join(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_6727,c_266]) ).
tcf(c_7220,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_266,c_375]) ).
tcf(c_7221,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_266,c_50]) ).
tcf(c_7222,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),join(X0,iPr_def_11)))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_266,c_6727]) ).
tcf(c_7223,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_266,c_6503]) ).
tcf(c_7224,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_266,c_6320]) ).
tcf(c_7227,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_266,c_2233]) ).
tcf(c_7228,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_266,c_2866]) ).
tcf(c_7229,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))),
inference(superposition,[status(thm)],[c_266,c_1903]) ).
tcf(c_7230,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_266,c_900]) ).
tcf(c_7231,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_266,c_1298]) ).
tcf(c_7233,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_266,c_897]) ).
tcf(c_7235,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11)))))))))) = join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11),
inference(superposition,[status(thm)],[c_266,c_894]) ).
tcf(c_7236,plain,
! [X0: $i] : join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),complement(complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_266,c_705]) ).
tcf(c_7238,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),complement(iPr_def_11)))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_266,c_218]) ).
tcf(c_7245,plain,
join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,iPr_def_12))))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_7213,c_50,c_49]) ).
tcf(c_7257,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7220,c_50,c_49]) ).
tcf(c_7258,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),X1)) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_7221,c_50,c_49]) ).
tcf(c_7262,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(complement(iPr_def_11),complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_7238,c_50,c_49]) ).
tcf(c_7263,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_10,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))),
inference(light_normalisation,[status(thm)],[c_7262,c_1671]) ).
tcf(c_7264,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_7208,c_50,c_49]) ).
tcf(c_7265,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7222,c_50,c_49]) ).
tcf(c_7271,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_7210,c_50,c_49]) ).
tcf(c_7272,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_7224,c_50,c_49]) ).
tcf(c_7273,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_7272,c_266]) ).
tcf(c_7274,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7236,c_50,c_49]) ).
tcf(c_7275,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7274,c_7011]) ).
tcf(c_7276,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_7223,c_50,c_49]) ).
tcf(c_7278,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),
inference(theory_normalisation,[status(thm)],[c_7215,c_50,c_49]) ).
tcf(c_7279,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))) = join(iPr_def_11,join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),
inference(theory_normalisation,[status(thm)],[c_7214,c_50,c_49]) ).
tcf(c_7281,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_7235,c_50,c_49]) ).
tcf(c_7282,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_7281,c_6436,c_7011]) ).
tcf(c_7283,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_7233,c_50,c_49]) ).
tcf(c_7284,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_7283,c_7011]) ).
tcf(c_7286,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7231,c_50,c_49]) ).
tcf(c_7287,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7286,c_7011]) ).
tcf(c_7288,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7230,c_50,c_49]) ).
tcf(c_7289,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7288,c_7011]) ).
tcf(c_7290,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_7229,c_50,c_49]) ).
tcf(c_7291,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),join(complement(complement(join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))),
inference(light_normalisation,[status(thm)],[c_7290,c_7011]) ).
tcf(c_7292,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))) = join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),
inference(theory_normalisation,[status(thm)],[c_7209,c_50,c_49]) ).
tcf(c_7293,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_7227,c_50,c_49]) ).
tcf(c_7294,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))),
inference(light_normalisation,[status(thm)],[c_7293,c_7011]) ).
tcf(c_7295,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))),complement(join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))) = join(iPr_def_11,join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_7211,c_50,c_49]) ).
tcf(c_7296,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_7228,c_50,c_49]) ).
tcf(c_7297,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_7296,c_7011]) ).
tcf(c_7298,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_7212,c_50,c_49]) ).
tcf(c_7305,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_50,c_7122]) ).
tcf(c_7310,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_7122,c_375]) ).
tcf(c_7311,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_7122,c_50]) ).
tcf(c_7313,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_11),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7122,c_392]) ).
tcf(c_7315,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_7310,c_50,c_49]) ).
tcf(c_7316,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,zero))) = top,
inference(light_normalisation,[status(thm)],[c_7315,c_107]) ).
tcf(c_7318,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_7311,c_50,c_49]) ).
tcf(c_7346,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_7123,c_50]) ).
tcf(c_7348,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7123,c_392]) ).
tcf(c_7349,plain,
join(iPr_def_11,complement(top)) = join(iPr_def_11,complement(iPr_def_10)),
inference(superposition,[status(thm)],[c_7123,c_1888]) ).
tcf(c_7350,plain,
join(iPr_def_11,complement(complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(iPr_def_10)))))))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7123,c_1903]) ).
tcf(c_7352,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_10)),complement(complement(join(iPr_def_11,complement(top)))))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_7123,c_6727]) ).
tcf(c_7353,plain,
join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,iPr_def_10))),complement(join(iPr_def_11,complement(top)))))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7123,c_6503]) ).
tcf(c_7357,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_7346,c_50,c_49]) ).
tcf(c_7358,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(top))),complement(complement(join(iPr_def_10,iPr_def_11)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_7353,c_50,c_49]) ).
tcf(c_7361,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(top)))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7352,c_50,c_49]) ).
tcf(c_7363,plain,
join(iPr_def_11,complement(complement(join(zero,iPr_def_11)))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_7350,c_107,c_192,c_209,c_1654,c_1671]) ).
tcf(c_7364,plain,
join(iPr_def_11,complement(complement(join(iPr_def_11,zero)))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_7363,c_50,c_49]) ).
tcf(c_7376,plain,
! [X0: $i,X1: $i] : join(join(complement(X0),X1),X0) = top,
inference(superposition,[status(thm)],[c_217,c_7124]) ).
tcf(c_7377,plain,
! [X0: $i,X1: $i] : join(join(X0,complement(X1)),X1) = top,
inference(superposition,[status(thm)],[c_218,c_7124]) ).
tcf(c_7383,plain,
! [X0: $i] : join(join(X0,iPr_def_11),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_705,c_7124]) ).
tcf(c_7386,plain,
! [X0: $i] : join(top,join(zero,X0)) = top,
inference(superposition,[status(thm)],[c_107,c_7124]) ).
tcf(c_7389,plain,
! [X0: $i] : join(zero,join(top,X0)) = top,
inference(superposition,[status(thm)],[c_1431,c_7124]) ).
tcf(c_7391,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(complement(X0),X1),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_7124,c_50]) ).
tcf(c_7392,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(join(X0,X1)),X2))) = top,
inference(superposition,[status(thm)],[c_7124,c_50]) ).
tcf(c_7394,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(join(complement(complement(X0)),X1)),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_7124,c_217]) ).
tcf(c_7395,plain,
! [X0: $i] : join(complement(zero),X0) = top,
inference(superposition,[status(thm)],[c_7124,c_1336]) ).
tcf(c_7397,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),top))))))))) = top,
inference(superposition,[status(thm)],[c_7124,c_6727]) ).
tcf(c_7398,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),top))))))) = join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),top))),
inference(superposition,[status(thm)],[c_7124,c_6503]) ).
tcf(c_7399,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(iPr_def_11),X0)),complement(top))) = join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),top))),
inference(superposition,[status(thm)],[c_7124,c_6320]) ).
tcf(c_7402,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(complement(converse(X0)),X1))) = converse(top),
inference(superposition,[status(thm)],[c_7124,c_221]) ).
tcf(c_7403,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_7124,c_6320]) ).
tcf(c_7405,plain,
! [X0: $i] : join(iPr_def_10,composition(join(complement(iPr_def_10),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7124,c_392]) ).
tcf(c_7406,plain,
! [X0: $i] : join(one,converse(join(complement(one),X0))) = converse(top),
inference(superposition,[status(thm)],[c_7124,c_1723]) ).
tcf(c_7408,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7124,c_3214]) ).
tcf(c_7409,plain,
join(iPr_def_11,complement(iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_7124,c_4183]) ).
tcf(c_7417,plain,
! [X0: $i] : join(top,join(X0,zero)) = top,
inference(theory_normalisation,[status(thm)],[c_7389,c_50,c_49]) ).
tcf(c_7421,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_11)) = top,
inference(theory_normalisation,[status(thm)],[c_7383,c_50,c_49]) ).
tcf(c_7425,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X1))) = top,
inference(theory_normalisation,[status(thm)],[c_7377,c_50,c_49]) ).
tcf(c_7426,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_7376,c_50,c_49]) ).
tcf(c_7427,plain,
! [X0: $i] : join(one,converse(join(complement(one),X0))) = top,
inference(light_normalisation,[status(thm)],[c_7406,c_2343,c_4804]) ).
tcf(c_7430,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(complement(converse(X0)),X1))) = top,
inference(light_normalisation,[status(thm)],[c_7402,c_2343,c_4760]) ).
tcf(c_7435,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_7391,c_50,c_49]) ).
tcf(c_7436,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_7394,c_50,c_49]) ).
tcf(c_7437,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(light_normalisation,[status(thm)],[c_7436,c_107]) ).
tcf(c_7438,plain,
! [X0: $i] : join(iPr_def_11,join(complement(top),complement(join(complement(iPr_def_11),X0)))) = join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_7399,c_50,c_49]) ).
tcf(c_7439,plain,
! [X0: $i] : join(iPr_def_11,join(zero,complement(join(iPr_def_10,X0)))) = join(iPr_def_11,complement(join(top,join(X0,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_7438,c_107,c_1671]) ).
tcf(c_7440,plain,
! [X0: $i] : join(iPr_def_11,join(zero,complement(join(iPr_def_10,X0)))) = join(iPr_def_11,complement(join(iPr_def_10,join(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_7439,c_50,c_49]) ).
tcf(c_7441,plain,
! [X0: $i] : join(iPr_def_11,join(zero,complement(join(iPr_def_10,X0)))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_7440,c_107,c_2738,c_7015]) ).
tcf(c_7442,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(top),complement(complement(join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_11))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7397,c_50,c_49]) ).
tcf(c_7443,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,complement(join(top,join(X0,iPr_def_10)))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7442,c_107,c_1671]) ).
tcf(c_7444,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,complement(join(iPr_def_10,join(X0,top)))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7443,c_50,c_49]) ).
tcf(c_7446,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(top)),complement(join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_11))))))))) = join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_7398,c_50,c_49]) ).
tcf(c_7447,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(join(top,join(X0,iPr_def_10)))))))) = join(iPr_def_11,complement(join(top,join(X0,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_7446,c_107,c_1431,c_1671]) ).
tcf(c_7448,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,complement(join(iPr_def_10,join(X0,top)))))))) = join(iPr_def_11,complement(join(iPr_def_10,join(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_7447,c_50,c_49]) ).
tcf(c_7454,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_7055,c_54]) ).
tcf(c_7455,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_7055,c_52]) ).
tcf(c_7456,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_7055,c_54]) ).
tcf(c_7457,plain,
join(complement(iPr_def_12),composition(converse(converse(iPr_def_10)),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_7055,c_76]) ).
tcf(c_7458,plain,
composition(converse(iPr_def_12),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_7055,c_226]) ).
tcf(c_7459,plain,
composition(converse(iPr_def_12),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_7458,c_1950]) ).
tcf(c_7460,plain,
join(complement(iPr_def_12),composition(converse(converse(iPr_def_10)),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_7457,c_1431]) ).
tcf(c_7461,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_7456,c_50,c_49]) ).
tcf(c_7467,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_269,c_6320]) ).
tcf(c_7494,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(X0,X1))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,join(X0,X1)))))))))))))) = join(iPr_def_11,join(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_7467]) ).
tcf(c_7495,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,zero)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))))) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_1336,c_7467]) ).
tcf(c_7496,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,top)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(top)))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7096,c_7467]) ).
tcf(c_7497,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_10)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(top)))))))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_7123,c_7467]) ).
tcf(c_7498,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))))))) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_1747,c_7467]) ).
tcf(c_7499,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_11,iPr_def_10)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_2696,c_7467]) ).
tcf(c_7500,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_7467]) ).
tcf(c_7502,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(iPr_def_11),top))))))))))) = top,
inference(superposition,[status(thm)],[c_59,c_7467]) ).
tcf(c_7503,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(iPr_def_11)))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1654,c_7467]) ).
tcf(c_7504,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(join(complement(X0),complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6320,c_7467]) ).
tcf(c_7505,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))),join(X0,iPr_def_11)))))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_266,c_7467]) ).
tcf(c_7506,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_349,c_7467]) ).
tcf(c_7507,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(join(X0,complement(join(iPr_def_11,X0))),top))))))))))) = top,
inference(superposition,[status(thm)],[c_375,c_7467]) ).
tcf(c_7508,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),top))))))))))) = top,
inference(superposition,[status(thm)],[c_7124,c_7467]) ).
tcf(c_7509,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,top))))))))))) = top,
inference(superposition,[status(thm)],[c_7015,c_7467]) ).
tcf(c_7510,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(zero,iPr_def_11))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_7467]) ).
tcf(c_7511,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(composition(X0,complement(composition(converse(X0),iPr_def_10))),iPr_def_11))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_432,c_7467]) ).
tcf(c_7512,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(X0,iPr_def_11)))))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_897,c_7467]) ).
tcf(c_7513,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(join(iPr_def_11,X0),join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1747,c_7467]) ).
tcf(c_7514,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_1888,c_7467]) ).
tcf(c_7515,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_1903,c_7467]) ).
tcf(c_7516,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))),join(iPr_def_11,complement(X0))))))))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_2221,c_7467]) ).
tcf(c_7517,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))),join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(superposition,[status(thm)],[c_2233,c_7467]) ).
tcf(c_7518,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))),join(X0,iPr_def_11)))))))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2866,c_7467]) ).
tcf(c_7519,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_12,iPr_def_11))))))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3207,c_7467]) ).
tcf(c_7520,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_3214,c_7467]) ).
tcf(c_7521,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(iPr_def_12),top))))))))))) = top,
inference(superposition,[status(thm)],[c_4192,c_7467]) ).
tcf(c_7522,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_4183,c_7467]) ).
tcf(c_7523,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_6503,c_7467]) ).
tcf(c_7524,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_6727,c_7467]) ).
tcf(c_7526,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_7467,c_375]) ).
tcf(c_7527,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_7467,c_50]) ).
tcf(c_7528,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7467,c_7467]) ).
tcf(c_7530,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),join(iPr_def_11,X0)))))))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7467,c_6727]) ).
tcf(c_7531,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_7467,c_6503]) ).
tcf(c_7532,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_7467,c_6320]) ).
tcf(c_7534,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_7467,c_266]) ).
tcf(c_7535,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_7467,c_2233]) ).
tcf(c_7536,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_7467,c_2866]) ).
tcf(c_7537,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))),
inference(superposition,[status(thm)],[c_7467,c_1903]) ).
tcf(c_7538,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7467,c_900]) ).
tcf(c_7539,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7467,c_1298]) ).
tcf(c_7540,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7467,c_2221]) ).
tcf(c_7541,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0)))))))))))) = join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11),
inference(superposition,[status(thm)],[c_7467,c_897]) ).
tcf(c_7542,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7467,c_1888]) ).
tcf(c_7543,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(complement(join(iPr_def_11,X0))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7467,c_705]) ).
tcf(c_7544,plain,
! [X0: $i] : join(complement(join(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),iPr_def_11)),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7467,c_233]) ).
tcf(c_7545,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),complement(iPr_def_11)))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),
inference(superposition,[status(thm)],[c_7467,c_218]) ).
tcf(c_7546,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,iPr_def_10))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_7503,c_1671]) ).
tcf(c_7547,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,iPr_def_11))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_7546,c_50,c_49]) ).
tcf(c_7548,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,top)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_7547,c_107,c_209,c_1431]) ).
tcf(c_7549,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_7519,c_50,c_49]) ).
tcf(c_7553,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_7510,c_50,c_49]) ).
tcf(c_7554,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_7553,c_1671]) ).
tcf(c_7555,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,top))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7509,c_107]) ).
tcf(c_7562,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,complement(iPr_def_12)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7521,c_50,c_49]) ).
tcf(c_7563,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,complement(iPr_def_12)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7562,c_107]) ).
tcf(c_7564,plain,
join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,complement(iPr_def_11)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7502,c_50,c_49]) ).
tcf(c_7565,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,iPr_def_10))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7564,c_107,c_1671]) ).
tcf(c_7566,plain,
join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_10,top))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7565,c_50,c_49]) ).
tcf(c_7572,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(top)))))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7497,c_50,c_49]) ).
tcf(c_7575,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_11))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7508,c_50,c_49]) ).
tcf(c_7576,plain,
! [X0: $i] : join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(top,join(X0,iPr_def_10)))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7575,c_107,c_1671]) ).
tcf(c_7577,plain,
! [X0: $i] : join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_10,join(X0,top)))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7576,c_50,c_49]) ).
tcf(c_7583,plain,
join(iPr_def_11,complement(join(complement(join(iPr_def_10,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7499,c_50,c_49]) ).
tcf(c_7588,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(top),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7507,c_50,c_49]) ).
tcf(c_7589,plain,
! [X0: $i] : join(iPr_def_11,complement(join(zero,complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(zero,complement(join(X0,complement(join(iPr_def_11,X0)))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7588,c_107,c_6410]) ).
tcf(c_7592,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_7511,c_50,c_49]) ).
tcf(c_7596,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_7506,c_50,c_49]) ).
tcf(c_7608,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_12))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7522,c_50,c_49]) ).
tcf(c_7610,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,iPr_def_12))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7520,c_50,c_49]) ).
tcf(c_7611,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7513,c_50,c_49]) ).
tcf(c_7616,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7544,c_50,c_49]) ).
tcf(c_7617,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7526,c_50,c_49]) ).
tcf(c_7618,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_7527,c_50,c_49]) ).
tcf(c_7619,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7542,c_50,c_49]) ).
tcf(c_7620,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7540,c_50,c_49]) ).
tcf(c_7621,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7505,c_50,c_49]) ).
tcf(c_7625,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_7514,c_50,c_49]) ).
tcf(c_7627,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(complement(join(iPr_def_11,complement(X0))),complement(complement(join(X0,iPr_def_11))))))))))))))))) = join(iPr_def_11,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_7516,c_50,c_49]) ).
tcf(c_7629,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7530,c_50,c_49]) ).
tcf(c_7631,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7524,c_50,c_49]) ).
tcf(c_7635,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7528,c_50,c_49]) ).
tcf(c_7641,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0)))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_7504,c_50,c_49]) ).
tcf(c_7643,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7512,c_50,c_49]) ).
tcf(c_7647,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(complement(iPr_def_11),complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),
inference(theory_normalisation,[status(thm)],[c_7545,c_50,c_49]) ).
tcf(c_7648,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_10,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))),
inference(light_normalisation,[status(thm)],[c_7647,c_1671]) ).
tcf(c_7649,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_7534,c_50,c_49]) ).
tcf(c_7650,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_7532,c_50,c_49]) ).
tcf(c_7651,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_7650,c_7467]) ).
tcf(c_7652,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_7523,c_50,c_49]) ).
tcf(c_7654,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7543,c_50,c_49]) ).
tcf(c_7655,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7518,c_50,c_49]) ).
tcf(c_7659,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_7531,c_50,c_49]) ).
tcf(c_7661,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_7541,c_50,c_49]) ).
tcf(c_7662,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_7515,c_50,c_49]) ).
tcf(c_7664,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,join(complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))),complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0))))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_7517,c_50,c_49]) ).
tcf(c_7666,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7539,c_50,c_49]) ).
tcf(c_7667,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7538,c_50,c_49]) ).
tcf(c_7668,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_7537,c_50,c_49]) ).
tcf(c_7669,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))),complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))))))) = join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))))))),
inference(theory_normalisation,[status(thm)],[c_7535,c_50,c_49]) ).
tcf(c_7670,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))))),complement(complement(join(iPr_def_11,complement(complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))))))))))))))))))) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))))),
inference(theory_normalisation,[status(thm)],[c_7536,c_50,c_49]) ).
tcf(c_7676,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_7182,c_54]) ).
tcf(c_7677,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(zero,X0),X1)) = composition(composition(zero,X0),X1),
inference(superposition,[status(thm)],[c_7182,c_52]) ).
tcf(c_7678,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_7182,c_54]) ).
tcf(c_7679,plain,
! [X0: $i] : join(complement(composition(zero,X0)),composition(converse(top),complement(composition(zero,X0)))) = complement(composition(zero,X0)),
inference(superposition,[status(thm)],[c_7182,c_76]) ).
tcf(c_7680,plain,
! [X0: $i] : composition(converse(composition(zero,X0)),top) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_7182,c_2357]) ).
tcf(c_7681,plain,
! [X0: $i] : composition(iPr_def_11,composition(zero,X0)) = composition(iPr_def_12,composition(zero,X0)),
inference(superposition,[status(thm)],[c_7182,c_382]) ).
tcf(c_7682,plain,
! [X0: $i] : composition(composition(converse(X0),zero),top) = composition(converse(X0),zero),
inference(light_normalisation,[status(thm)],[c_7680,c_1975]) ).
tcf(c_7683,plain,
! [X0: $i] : join(complement(composition(zero,X0)),composition(top,complement(composition(zero,X0)))) = complement(composition(zero,X0)),
inference(light_normalisation,[status(thm)],[c_7679,c_2343]) ).
tcf(c_7684,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_7678,c_50,c_49]) ).
tcf(c_7698,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = top,
inference(superposition,[status(thm)],[c_49,c_7305]) ).
tcf(c_7700,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_50,c_7305]) ).
tcf(c_7704,plain,
! [X0: $i] : join(iPr_def_10,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_7096,c_7305]) ).
tcf(c_7705,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_7305,c_375]) ).
tcf(c_7706,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_7305,c_50]) ).
tcf(c_7708,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,iPr_def_11)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7305,c_392]) ).
tcf(c_7712,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_7705,c_50,c_49]) ).
tcf(c_7713,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_7712,c_107]) ).
tcf(c_7714,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,iPr_def_11)),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_7708,c_448]) ).
tcf(c_7715,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_7706,c_50,c_49]) ).
tcf(c_7716,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_7459,c_54]) ).
tcf(c_7717,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_7459,c_52]) ).
tcf(c_7718,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_7459,c_54]) ).
tcf(c_7719,plain,
join(complement(iPr_def_10),composition(converse(converse(iPr_def_12)),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_7459,c_76]) ).
tcf(c_7720,plain,
composition(converse(iPr_def_10),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_7459,c_226]) ).
tcf(c_7721,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7459,c_349]) ).
tcf(c_7722,plain,
join(iPr_def_11,composition(iPr_def_12,complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7459,c_432]) ).
tcf(c_7724,plain,
join(iPr_def_11,composition(iPr_def_12,top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_7722,c_1431]) ).
tcf(c_7725,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_7721,c_1431]) ).
tcf(c_7727,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_7718,c_50,c_49]) ).
tcf(c_7732,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_7005,c_1336]) ).
tcf(c_7733,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,X0),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(demodulation,[status(thm)],[c_6503,c_7732]) ).
tcf(c_7735,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))))),
inference(demodulation,[status(thm)],[c_2233,c_7732]) ).
tcf(c_7736,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0))))))))))))))))) = join(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_2866,c_7732]) ).
tcf(c_7737,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0))))))))))) = join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))))),
inference(demodulation,[status(thm)],[c_1903,c_7732]) ).
tcf(c_7738,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_900,c_7732]) ).
tcf(c_7739,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1298,c_7732]) ).
tcf(c_7740,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0))))))))))) = join(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_897,c_7732]) ).
tcf(c_7741,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_705,c_7732]) ).
tcf(c_7743,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))))) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_7467,c_7732]) ).
tcf(c_7744,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))))) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_6727,c_7732]) ).
tcf(c_7748,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7741,c_50,c_49]) ).
tcf(c_7749,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7748,c_6331]) ).
tcf(c_7750,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0)))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_7744,c_50,c_49]) ).
tcf(c_7751,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_7733,c_50,c_49]) ).
tcf(c_7752,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7740,c_50,c_49]) ).
tcf(c_7754,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7739,c_50,c_49]) ).
tcf(c_7755,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7754,c_6331]) ).
tcf(c_7756,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7738,c_50,c_49]) ).
tcf(c_7757,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7756,c_6331]) ).
tcf(c_7758,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_7737,c_50,c_49]) ).
tcf(c_7759,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))),
inference(light_normalisation,[status(thm)],[c_7758,c_6331]) ).
tcf(c_7760,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11))))))),
inference(theory_normalisation,[status(thm)],[c_7735,c_50,c_49]) ).
tcf(c_7761,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))))))) = join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11))))))),
inference(light_normalisation,[status(thm)],[c_7760,c_6331]) ).
tcf(c_7762,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,join(complement(X0),complement(join(X0,iPr_def_11)))))))))))))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_7736,c_50,c_49]) ).
tcf(c_7763,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(complement(join(X0,iPr_def_11)),complement(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))))))))))))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_7762,c_6331]) ).
tcf(c_7769,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_7732,c_6986]) ).
tcf(c_7770,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(X0),join(iPr_def_11,complement(X0))))) = join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_7732,c_6320]) ).
tcf(c_7772,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(X0),join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7732,c_1888]) ).
tcf(c_7773,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(complement(X1),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_7732,c_217]) ).
tcf(c_7774,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_7732,c_76]) ).
tcf(c_7777,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X1,complement(X0)))) = complement(X1),
inference(superposition,[status(thm)],[c_7732,c_218]) ).
tcf(c_7783,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(theory_normalisation,[status(thm)],[c_7772,c_50,c_49]) ).
tcf(c_7784,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_7783,c_6320]) ).
tcf(c_7785,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(X0))))) = join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(X0))))),
inference(theory_normalisation,[status(thm)],[c_7770,c_50,c_49]) ).
tcf(c_7786,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))),
inference(light_normalisation,[status(thm)],[c_7785,c_6986]) ).
tcf(c_7793,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4694,c_52,c_448,c_556]) ).
tcf(c_7794,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_7793]) ).
tcf(c_7795,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_7793]) ).
tcf(c_7796,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_7793]) ).
tcf(c_7797,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_7793]) ).
tcf(c_7798,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_7793]) ).
tcf(c_7799,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_7793]) ).
tcf(c_7800,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_7793]) ).
tcf(c_7801,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_7793]) ).
tcf(c_7802,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_7793]) ).
tcf(c_7803,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_7793]) ).
tcf(c_7804,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_7793]) ).
tcf(c_7805,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_7793]) ).
tcf(c_7806,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_7793]) ).
tcf(c_7807,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_7793]) ).
tcf(c_7808,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_7793]) ).
tcf(c_7809,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_7793]) ).
tcf(c_7810,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_7793]) ).
tcf(c_7811,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_7793]) ).
tcf(c_7812,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_7793,c_375]) ).
tcf(c_7813,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_7793,c_50]) ).
tcf(c_7815,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7793,c_392]) ).
tcf(c_7816,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7810,c_1671,c_1689]) ).
tcf(c_7817,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7809,c_1431]) ).
tcf(c_7818,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7811,c_1431]) ).
tcf(c_7819,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7812,c_50,c_49]) ).
tcf(c_7820,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7819,c_192]) ).
tcf(c_7821,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7815,c_193]) ).
tcf(c_7828,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),X1)) = top,
inference(superposition,[status(thm)],[c_49,c_7698]) ).
tcf(c_7830,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_50,c_7698]) ).
tcf(c_7858,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_7698,c_50]) ).
tcf(c_7860,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(iPr_def_11,X1)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7698,c_392]) ).
tcf(c_7863,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,X1))) = top,
inference(theory_normalisation,[status(thm)],[c_7828,c_50,c_49]) ).
tcf(c_7865,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(iPr_def_11,X1)),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_7860,c_448]) ).
tcf(c_7866,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_7858,c_50,c_49]) ).
tcf(c_7868,plain,
! [X0: $i] : join(top,join(converse(iPr_def_10),X0)) = top,
inference(light_normalisation,[status(thm)],[c_3878,c_7096]) ).
tcf(c_7870,plain,
! [X0: $i] : join(top,join(converse(iPr_def_11),X0)) = top,
inference(light_normalisation,[status(thm)],[c_3887,c_7096]) ).
tcf(c_7872,plain,
! [X0: $i] : join(top,join(converse(iPr_def_12),X0)) = top,
inference(light_normalisation,[status(thm)],[c_3896,c_7096]) ).
tcf(c_7877,plain,
! [X0: $i] : join(X0,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_7769,c_375]) ).
tcf(c_7878,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_7769,c_50]) ).
tcf(c_7879,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(X0,X1))) = join(X0,X1),
inference(superposition,[status(thm)],[c_7769,c_50]) ).
tcf(c_7881,plain,
! [X0: $i,X1: $i] : composition(join(X0,X0),X1) = composition(X0,X1),
inference(superposition,[status(thm)],[c_7769,c_54]) ).
tcf(c_7882,plain,
! [X0: $i] : converse(join(X0,X0)) = converse(X0),
inference(superposition,[status(thm)],[c_7769,c_56]) ).
tcf(c_7888,plain,
! [X0: $i] : join(X0,converse(converse(X0))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_7769,c_221]) ).
tcf(c_7896,plain,
join(one,converse(one)) = converse(one),
inference(superposition,[status(thm)],[c_7769,c_1723]) ).
tcf(c_7898,plain,
join(one,one) = one,
inference(light_normalisation,[status(thm)],[c_7896,c_1689]) ).
tcf(c_7905,plain,
! [X0: $i] : join(zero,composition(X0,join(iPr_def_10,iPr_def_12))) = composition(join(zero,X0),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_7051,c_54]) ).
tcf(c_7906,plain,
! [X0: $i] : composition(zero,composition(join(iPr_def_10,iPr_def_12),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_7051,c_52]) ).
tcf(c_7907,plain,
! [X0: $i] : join(composition(X0,join(iPr_def_10,iPr_def_12)),zero) = composition(join(X0,zero),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_7051,c_54]) ).
tcf(c_7908,plain,
join(complement(join(iPr_def_10,iPr_def_12)),composition(converse(zero),complement(zero))) = complement(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_7051,c_76]) ).
tcf(c_7910,plain,
composition(converse(join(iPr_def_10,iPr_def_12)),zero) = converse(zero),
inference(superposition,[status(thm)],[c_7051,c_1975]) ).
tcf(c_7911,plain,
composition(join(iPr_def_10,iPr_def_12),zero) = zero,
inference(light_normalisation,[status(thm)],[c_7910,c_1950,c_3191]) ).
tcf(c_7912,plain,
! [X0: $i] : composition(zero,composition(top,composition(top,X0))) = composition(zero,X0),
inference(light_normalisation,[status(thm)],[c_7906,c_556]) ).
tcf(c_7913,plain,
join(complement(join(iPr_def_10,iPr_def_12)),zero) = complement(join(iPr_def_10,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_7908,c_1431,c_1950,c_7049]) ).
tcf(c_7914,plain,
! [X0: $i] : join(zero,composition(X0,join(iPr_def_10,iPr_def_12))) = composition(join(X0,zero),join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_7907,c_50,c_49]) ).
tcf(c_7915,plain,
! [X0: $i] : join(zero,composition(X0,join(iPr_def_10,iPr_def_12))) = composition(X0,join(iPr_def_10,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_7914,c_1429]) ).
tcf(c_7918,plain,
! [X0: $i] : join(composition(iPr_def_11,zero),composition(X0,zero)) = composition(join(iPr_def_12,X0),zero),
inference(superposition,[status(thm)],[c_7186,c_54]) ).
tcf(c_7919,plain,
! [X0: $i] : composition(composition(iPr_def_11,zero),X0) = composition(iPr_def_12,composition(zero,X0)),
inference(superposition,[status(thm)],[c_7186,c_52]) ).
tcf(c_7920,plain,
! [X0: $i] : join(composition(X0,zero),composition(iPr_def_11,zero)) = composition(join(X0,iPr_def_12),zero),
inference(superposition,[status(thm)],[c_7186,c_54]) ).
tcf(c_7921,plain,
join(complement(zero),composition(converse(iPr_def_12),complement(composition(iPr_def_11,zero)))) = complement(zero),
inference(superposition,[status(thm)],[c_7186,c_76]) ).
tcf(c_7922,plain,
! [X0: $i] : composition(composition(iPr_def_11,zero),X0) = composition(iPr_def_11,composition(zero,X0)),
inference(light_normalisation,[status(thm)],[c_7919,c_7681]) ).
tcf(c_7923,plain,
join(top,composition(converse(iPr_def_12),complement(composition(iPr_def_11,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_7921,c_1431]) ).
tcf(c_7925,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7821,c_52,c_448,c_556]) ).
tcf(c_7926,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_7925]) ).
tcf(c_7927,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_7925]) ).
tcf(c_7928,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_7925]) ).
tcf(c_7929,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_7925]) ).
tcf(c_7930,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_7925]) ).
tcf(c_7931,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_7925]) ).
tcf(c_7932,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_7925]) ).
tcf(c_7933,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_7925]) ).
tcf(c_7934,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_7925]) ).
tcf(c_7935,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_7925]) ).
tcf(c_7936,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_7925]) ).
tcf(c_7937,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_7925]) ).
tcf(c_7938,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_7925]) ).
tcf(c_7939,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_7925]) ).
tcf(c_7940,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_7925]) ).
tcf(c_7941,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_7925]) ).
tcf(c_7942,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_7925]) ).
tcf(c_7943,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_7925]) ).
tcf(c_7944,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_7925,c_375]) ).
tcf(c_7945,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_7925,c_50]) ).
tcf(c_7946,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7925,c_392]) ).
tcf(c_7947,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7942,c_1671,c_1689]) ).
tcf(c_7948,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7941,c_1431]) ).
tcf(c_7949,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7943,c_1431]) ).
tcf(c_7950,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7944,c_50,c_49]) ).
tcf(c_7951,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_7950,c_192]) ).
tcf(c_7952,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7946,c_193]) ).
tcf(c_7975,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7952,c_52,c_448,c_556]) ).
tcf(c_7976,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_7975]) ).
tcf(c_7977,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_7975]) ).
tcf(c_7978,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_7975]) ).
tcf(c_7979,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_7975]) ).
tcf(c_7980,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_7975]) ).
tcf(c_7981,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_7975]) ).
tcf(c_7982,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_7975]) ).
tcf(c_7983,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_7975]) ).
tcf(c_7984,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_7975]) ).
tcf(c_7985,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_7975]) ).
tcf(c_7986,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_7975]) ).
tcf(c_7987,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_7975]) ).
tcf(c_7988,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_7975]) ).
tcf(c_7989,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_7975]) ).
tcf(c_7990,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_7975]) ).
tcf(c_7991,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_7975]) ).
tcf(c_7992,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_7975]) ).
tcf(c_7993,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_7975]) ).
tcf(c_7994,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_7975,c_375]) ).
tcf(c_7995,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_7975,c_50]) ).
tcf(c_7996,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7975,c_392]) ).
tcf(c_7997,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7992,c_1671,c_1689]) ).
tcf(c_7998,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7991,c_1431]) ).
tcf(c_7999,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7993,c_1431]) ).
tcf(c_8000,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_7994,c_50,c_49]) ).
tcf(c_8001,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8000,c_192]) ).
tcf(c_8002,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_7996,c_193]) ).
tcf(c_8004,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(demodulation,[status(thm)],[c_2671,c_49,c_191,c_6331,c_7732,c_7769,c_7878]) ).
tcf(c_8006,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(join(zero,iPr_def_11))))))) = join(iPr_def_11,complement(join(zero,iPr_def_11))),
inference(superposition,[status(thm)],[c_1336,c_8004]) ).
tcf(c_8007,plain,
join(iPr_def_11,complement(join(top,iPr_def_11))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7096,c_8004]) ).
tcf(c_8008,plain,
join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7123,c_8004]) ).
tcf(c_8009,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_49,c_8004]) ).
tcf(c_8011,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,X1),join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11))))))))) = join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11)))),
inference(superposition,[status(thm)],[c_50,c_8004]) ).
tcf(c_8012,plain,
join(iPr_def_11,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_1336,c_8004]) ).
tcf(c_8013,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,complement(top))))))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_209,c_8004]) ).
tcf(c_8014,plain,
join(iPr_def_11,complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,complement(top))))))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7096,c_8004]) ).
tcf(c_8015,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_7769,c_8004]) ).
tcf(c_8016,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_8004,c_375]) ).
tcf(c_8017,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))))),X1)) = join(join(iPr_def_11,complement(join(X0,iPr_def_11))),X1),
inference(superposition,[status(thm)],[c_8004,c_50]) ).
tcf(c_8018,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_8004,c_7123]) ).
tcf(c_8019,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))))),join(iPr_def_11,complement(join(X0,iPr_def_11)))))),
inference(superposition,[status(thm)],[c_8004,c_6320]) ).
tcf(c_8020,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))),join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_8004,c_1888]) ).
tcf(c_8021,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(join(X1,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_8004,c_7698]) ).
tcf(c_8023,plain,
join(iPr_def_11,complement(join(iPr_def_11,top))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_8007,c_50,c_49]) ).
tcf(c_8024,plain,
join(iPr_def_11,complement(join(iPr_def_11,top))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_8023,c_107]) ).
tcf(c_8025,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_8015,c_1671]) ).
tcf(c_8028,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,complement(top))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_8014,c_50,c_49]) ).
tcf(c_8030,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,zero)))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_8013,c_107]) ).
tcf(c_8031,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,complement(iPr_def_11))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_8012,c_50,c_49]) ).
tcf(c_8032,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,iPr_def_10)))))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_8031,c_1671]) ).
tcf(c_8033,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_10,iPr_def_11)))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_8032,c_50,c_49]) ).
tcf(c_8035,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,zero))))))) = join(iPr_def_11,complement(join(iPr_def_11,zero))),
inference(theory_normalisation,[status(thm)],[c_8006,c_50,c_49]) ).
tcf(c_8037,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8016,c_50,c_49]) ).
tcf(c_8038,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))))),X1)) = join(iPr_def_11,join(complement(join(X0,iPr_def_11)),X1)),
inference(theory_normalisation,[status(thm)],[c_8017,c_50,c_49]) ).
tcf(c_8039,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11)))))))))) = join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_8011,c_50,c_49]) ).
tcf(c_8041,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_8020,c_50,c_49]) ).
tcf(c_8042,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))))))) = join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(X0,iPr_def_11)),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))))))))),
inference(theory_normalisation,[status(thm)],[c_8019,c_50,c_49]) ).
tcf(c_8044,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8002,c_52,c_448,c_556]) ).
tcf(c_8045,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8044]) ).
tcf(c_8046,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8044]) ).
tcf(c_8047,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8044]) ).
tcf(c_8048,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8044]) ).
tcf(c_8049,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8044]) ).
tcf(c_8050,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8044]) ).
tcf(c_8051,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8044]) ).
tcf(c_8052,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8044]) ).
tcf(c_8053,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8044]) ).
tcf(c_8054,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8044]) ).
tcf(c_8055,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8044]) ).
tcf(c_8056,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8044]) ).
tcf(c_8057,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_8044]) ).
tcf(c_8058,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8044]) ).
tcf(c_8059,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8044]) ).
tcf(c_8060,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8044]) ).
tcf(c_8061,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8044]) ).
tcf(c_8062,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8044]) ).
tcf(c_8063,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8044,c_375]) ).
tcf(c_8064,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8044,c_50]) ).
tcf(c_8065,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8044,c_392]) ).
tcf(c_8066,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8061,c_1671,c_1689]) ).
tcf(c_8067,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8060,c_1431]) ).
tcf(c_8068,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8062,c_1431]) ).
tcf(c_8069,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8063,c_50,c_49]) ).
tcf(c_8070,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8069,c_192]) ).
tcf(c_8071,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8065,c_193]) ).
tcf(c_8078,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8071,c_52,c_448,c_556]) ).
tcf(c_8079,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8078]) ).
tcf(c_8080,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8078]) ).
tcf(c_8081,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8078]) ).
tcf(c_8082,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8078]) ).
tcf(c_8083,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8078]) ).
tcf(c_8084,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8078]) ).
tcf(c_8085,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8078]) ).
tcf(c_8086,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8078]) ).
tcf(c_8087,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8078]) ).
tcf(c_8088,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8078]) ).
tcf(c_8089,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8078]) ).
tcf(c_8090,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8078]) ).
tcf(c_8091,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),zero),composition(complement(composition(composition(zero,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1975,c_8078]) ).
tcf(c_8092,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8078]) ).
tcf(c_8093,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8078]) ).
tcf(c_8094,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8078]) ).
tcf(c_8095,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8078]) ).
tcf(c_8096,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8078]) ).
tcf(c_8097,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8078,c_375]) ).
tcf(c_8098,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8078,c_50]) ).
tcf(c_8099,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8078,c_392]) ).
tcf(c_8100,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8095,c_1671,c_1689]) ).
tcf(c_8101,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8094,c_1431]) ).
tcf(c_8102,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8096,c_1431]) ).
tcf(c_8103,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8097,c_50,c_49]) ).
tcf(c_8104,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8103,c_192]) ).
tcf(c_8105,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8099,c_193]) ).
tcf(c_8120,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_49,c_7878]) ).
tcf(c_8123,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_54,c_7878]) ).
tcf(c_8124,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(join(X0,X1))) = converse(join(X0,X1)),
inference(superposition,[status(thm)],[c_56,c_7878]) ).
tcf(c_8162,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X0,X1),complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_7878,c_375]) ).
tcf(c_8164,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_7878,c_50]) ).
tcf(c_8169,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(converse(X0),X1))) = converse(join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_7878,c_221]) ).
tcf(c_8170,plain,
! [X0: $i] : join(X0,complement(join(X0,X0))) = top,
inference(superposition,[status(thm)],[c_7878,c_375]) ).
tcf(c_8179,plain,
! [X0: $i] : join(one,converse(join(one,X0))) = converse(join(one,X0)),
inference(superposition,[status(thm)],[c_7878,c_1723]) ).
tcf(c_8182,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))) = join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))),
inference(superposition,[status(thm)],[c_7878,c_8004]) ).
tcf(c_8184,plain,
! [X0: $i] : join(one,join(one,converse(X0))) = join(one,converse(X0)),
inference(light_normalisation,[status(thm)],[c_8179,c_1723]) ).
tcf(c_8185,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,join(X1,complement(join(X0,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_8162,c_50,c_49]) ).
tcf(c_8187,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),X0)) = join(converse(X1),X0),
inference(light_normalisation,[status(thm)],[c_8169,c_985]) ).
tcf(c_8191,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_8164,c_50,c_49]) ).
tcf(c_8195,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(demodulation,[status(thm)],[c_6320,c_8120]) ).
tcf(c_8199,plain,
! [X0: $i] : join(top,join(complement(iPr_def_12),X0)) = top,
inference(light_normalisation,[status(thm)],[c_4304,c_7096]) ).
tcf(c_8201,plain,
! [X0: $i] : composition(X0,zero) = zero,
inference(demodulation,[status(thm)],[c_7190,c_1336]) ).
tcf(c_8202,plain,
! [X0: $i] : converse(composition(zero,X0)) = zero,
inference(demodulation,[status(thm)],[c_1975,c_8201]) ).
tcf(c_8204,plain,
composition(iPr_def_12,zero) = zero,
inference(demodulation,[status(thm)],[c_7186,c_8201]) ).
tcf(c_8206,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = join(zero,composition(X1,zero)),
inference(superposition,[status(thm)],[c_8201,c_54]) ).
tcf(c_8207,plain,
! [X0: $i,X1: $i] : composition(X0,composition(zero,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_8201,c_52]) ).
tcf(c_8208,plain,
! [X0: $i,X1: $i] : composition(X0,composition(X1,zero)) = zero,
inference(superposition,[status(thm)],[c_8201,c_52]) ).
tcf(c_8209,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_8201,c_54]) ).
tcf(c_8210,plain,
! [X0: $i] : join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_8201,c_76]) ).
tcf(c_8211,plain,
! [X0: $i] : composition(converse(zero),X0) = converse(zero),
inference(superposition,[status(thm)],[c_8201,c_226]) ).
tcf(c_8214,plain,
composition(converse(iPr_def_11),zero) = composition(zero,zero),
inference(superposition,[status(thm)],[c_8201,c_3198]) ).
tcf(c_8216,plain,
composition(converse(iPr_def_10),zero) = composition(zero,zero),
inference(superposition,[status(thm)],[c_8201,c_1923]) ).
tcf(c_8217,plain,
! [X0: $i] : composition(zero,X0) = zero,
inference(light_normalisation,[status(thm)],[c_8211,c_1950]) ).
tcf(c_8218,plain,
! [X0: $i] : join(top,composition(converse(X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_8210,c_1431]) ).
tcf(c_8219,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_8209,c_50,c_49]) ).
tcf(c_8220,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),zero) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_8219,c_8201]) ).
tcf(c_8221,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = zero,
inference(demodulation,[status(thm)],[c_3198,c_8217]) ).
tcf(c_8222,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = zero,
inference(demodulation,[status(thm)],[c_1923,c_8217]) ).
tcf(c_8224,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,X1)) = composition(join(zero,X0),X1),
inference(superposition,[status(thm)],[c_8217,c_54]) ).
tcf(c_8225,plain,
! [X0: $i,X1: $i] : composition(zero,composition(X0,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_8217,c_52]) ).
tcf(c_8226,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),zero) = composition(join(X0,zero),X1),
inference(superposition,[status(thm)],[c_8217,c_54]) ).
tcf(c_8227,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_8217,c_76]) ).
tcf(c_8228,plain,
! [X0: $i] : composition(X0,converse(zero)) = converse(zero),
inference(superposition,[status(thm)],[c_8217,c_225]) ).
tcf(c_8229,plain,
join(iPr_def_11,composition(converse(zero),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8217,c_349]) ).
tcf(c_8231,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8078]) ).
tcf(c_8232,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8044]) ).
tcf(c_8233,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_7975]) ).
tcf(c_8234,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_7925]) ).
tcf(c_8235,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_7793]) ).
tcf(c_8236,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_4671]) ).
tcf(c_8237,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_4025]) ).
tcf(c_8238,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_3971]) ).
tcf(c_8239,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_3941]) ).
tcf(c_8240,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_3911]) ).
tcf(c_8241,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_3472]) ).
tcf(c_8242,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_3225]) ).
tcf(c_8243,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_2992]) ).
tcf(c_8244,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_2788]) ).
tcf(c_8245,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_2576]) ).
tcf(c_8246,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_2552]) ).
tcf(c_8247,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_2528]) ).
tcf(c_8249,plain,
join(iPr_def_11,composition(zero,top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_8229,c_1431,c_1950]) ).
tcf(c_8250,plain,
! [X0: $i] : join(complement(X0),composition(zero,top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_8227,c_1431,c_1950]) ).
tcf(c_8251,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,X1)) = composition(join(X0,zero),X1),
inference(theory_normalisation,[status(thm)],[c_8226,c_50,c_49]) ).
tcf(c_8252,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,X1)) = composition(X0,X1),
inference(light_normalisation,[status(thm)],[c_8251,c_1429]) ).
tcf(c_8269,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8232,c_1431,c_1950]) ).
tcf(c_8270,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8231,c_1431,c_1950]) ).
tcf(c_8274,plain,
join(iPr_def_11,join(composition(iPr_def_12,top),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_7724,c_375]) ).
tcf(c_8275,plain,
! [X0: $i] : join(iPr_def_11,join(composition(iPr_def_12,top),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7724,c_50]) ).
tcf(c_8278,plain,
join(iPr_def_11,join(complement(iPr_def_11),composition(iPr_def_12,top))) = top,
inference(theory_normalisation,[status(thm)],[c_8274,c_50,c_49]) ).
tcf(c_8279,plain,
join(iPr_def_11,join(iPr_def_10,composition(iPr_def_12,top))) = top,
inference(light_normalisation,[status(thm)],[c_8278,c_1671]) ).
tcf(c_8280,plain,
join(iPr_def_10,join(iPr_def_11,composition(iPr_def_12,top))) = top,
inference(theory_normalisation,[status(thm)],[c_8279,c_50,c_49]) ).
tcf(c_8289,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8105,c_52,c_448,c_556]) ).
tcf(c_8290,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8289]) ).
tcf(c_8291,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8289]) ).
tcf(c_8292,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8289]) ).
tcf(c_8293,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8289]) ).
tcf(c_8294,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8289]) ).
tcf(c_8295,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8289]) ).
tcf(c_8296,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8289]) ).
tcf(c_8297,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8289]) ).
tcf(c_8298,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8289]) ).
tcf(c_8299,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8289]) ).
tcf(c_8300,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8289]) ).
tcf(c_8301,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8289]) ).
tcf(c_8302,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8289]) ).
tcf(c_8303,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8289]) ).
tcf(c_8304,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8289]) ).
tcf(c_8305,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8289]) ).
tcf(c_8306,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8289]) ).
tcf(c_8307,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8289]) ).
tcf(c_8309,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8289,c_375]) ).
tcf(c_8310,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8289,c_50]) ).
tcf(c_8311,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8289,c_392]) ).
tcf(c_8312,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8306,c_1431,c_1950]) ).
tcf(c_8313,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8305,c_1671,c_1689]) ).
tcf(c_8314,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8304,c_1431]) ).
tcf(c_8315,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8307,c_1431]) ).
tcf(c_8316,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8309,c_50,c_49]) ).
tcf(c_8317,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8316,c_192]) ).
tcf(c_8318,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8311,c_193]) ).
tcf(c_8321,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8318,c_52,c_448,c_556]) ).
tcf(c_8322,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8321]) ).
tcf(c_8323,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8321]) ).
tcf(c_8324,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8321]) ).
tcf(c_8325,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8321]) ).
tcf(c_8326,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8321]) ).
tcf(c_8327,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8321]) ).
tcf(c_8328,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8321]) ).
tcf(c_8329,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8321]) ).
tcf(c_8330,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8321]) ).
tcf(c_8331,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8321]) ).
tcf(c_8332,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8321]) ).
tcf(c_8333,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8321]) ).
tcf(c_8334,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8321]) ).
tcf(c_8335,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8321]) ).
tcf(c_8336,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8321]) ).
tcf(c_8337,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8321]) ).
tcf(c_8338,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8321]) ).
tcf(c_8339,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8321]) ).
tcf(c_8341,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8321,c_375]) ).
tcf(c_8342,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8321,c_50]) ).
tcf(c_8343,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8321,c_392]) ).
tcf(c_8344,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8338,c_1431,c_1950]) ).
tcf(c_8345,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8337,c_1671,c_1689]) ).
tcf(c_8346,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8336,c_1431]) ).
tcf(c_8347,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8339,c_1431]) ).
tcf(c_8348,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8341,c_50,c_49]) ).
tcf(c_8349,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8348,c_192]) ).
tcf(c_8350,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8343,c_193]) ).
tcf(c_8362,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8350,c_52,c_448,c_556]) ).
tcf(c_8363,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8362]) ).
tcf(c_8364,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8362]) ).
tcf(c_8365,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8362]) ).
tcf(c_8366,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8362]) ).
tcf(c_8367,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8362]) ).
tcf(c_8368,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8362]) ).
tcf(c_8369,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8362]) ).
tcf(c_8370,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8362]) ).
tcf(c_8371,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8362]) ).
tcf(c_8372,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8362]) ).
tcf(c_8373,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8362]) ).
tcf(c_8374,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8362]) ).
tcf(c_8375,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8362]) ).
tcf(c_8376,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8362]) ).
tcf(c_8377,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8362]) ).
tcf(c_8378,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8362]) ).
tcf(c_8379,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8362]) ).
tcf(c_8380,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8362]) ).
tcf(c_8382,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8362,c_375]) ).
tcf(c_8383,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8362,c_50]) ).
tcf(c_8384,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8362,c_392]) ).
tcf(c_8385,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8379,c_1431,c_1950]) ).
tcf(c_8386,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8378,c_1671,c_1689]) ).
tcf(c_8387,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8377,c_1431]) ).
tcf(c_8388,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8380,c_1431]) ).
tcf(c_8389,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8382,c_50,c_49]) ).
tcf(c_8390,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8389,c_192]) ).
tcf(c_8391,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8384,c_193]) ).
tcf(c_8413,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8391,c_52,c_448,c_556]) ).
tcf(c_8414,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8413]) ).
tcf(c_8415,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8413]) ).
tcf(c_8416,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8413]) ).
tcf(c_8417,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8413]) ).
tcf(c_8418,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8413]) ).
tcf(c_8419,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8413]) ).
tcf(c_8420,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8413]) ).
tcf(c_8421,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8413]) ).
tcf(c_8422,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8413]) ).
tcf(c_8423,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8413]) ).
tcf(c_8424,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8413]) ).
tcf(c_8425,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8413]) ).
tcf(c_8426,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8413]) ).
tcf(c_8427,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8413]) ).
tcf(c_8428,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8413]) ).
tcf(c_8429,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8413]) ).
tcf(c_8430,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8413]) ).
tcf(c_8431,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8413]) ).
tcf(c_8433,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8413,c_375]) ).
tcf(c_8434,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8413,c_50]) ).
tcf(c_8435,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8413,c_392]) ).
tcf(c_8436,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8430,c_1431,c_1950]) ).
tcf(c_8437,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8429,c_1671,c_1689]) ).
tcf(c_8438,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8428,c_1431]) ).
tcf(c_8439,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8431,c_1431]) ).
tcf(c_8440,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8433,c_50,c_49]) ).
tcf(c_8441,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8440,c_192]) ).
tcf(c_8442,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8435,c_193]) ).
tcf(c_8444,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8442,c_52,c_448,c_556]) ).
tcf(c_8445,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8444]) ).
tcf(c_8446,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8444]) ).
tcf(c_8447,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8444]) ).
tcf(c_8448,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8444]) ).
tcf(c_8449,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8444]) ).
tcf(c_8450,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8444]) ).
tcf(c_8451,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8444]) ).
tcf(c_8452,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8444]) ).
tcf(c_8453,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8444]) ).
tcf(c_8454,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8444]) ).
tcf(c_8455,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8444]) ).
tcf(c_8456,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8444]) ).
tcf(c_8457,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8444]) ).
tcf(c_8458,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8444]) ).
tcf(c_8459,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8444]) ).
tcf(c_8460,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8444]) ).
tcf(c_8461,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8444]) ).
tcf(c_8462,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8444]) ).
tcf(c_8464,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8444,c_375]) ).
tcf(c_8465,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8444,c_50]) ).
tcf(c_8466,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8444,c_392]) ).
tcf(c_8467,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8461,c_1431,c_1950]) ).
tcf(c_8468,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8460,c_1671,c_1689]) ).
tcf(c_8469,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8459,c_1431]) ).
tcf(c_8470,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8462,c_1431]) ).
tcf(c_8471,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8464,c_50,c_49]) ).
tcf(c_8472,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8471,c_192]) ).
tcf(c_8473,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8466,c_193]) ).
tcf(c_8475,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8473,c_52,c_448,c_556]) ).
tcf(c_8476,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8475]) ).
tcf(c_8477,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8475]) ).
tcf(c_8478,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8475]) ).
tcf(c_8479,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8475]) ).
tcf(c_8480,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8475]) ).
tcf(c_8481,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8475]) ).
tcf(c_8482,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8475]) ).
tcf(c_8483,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8475]) ).
tcf(c_8484,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8475]) ).
tcf(c_8485,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8475]) ).
tcf(c_8486,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8475]) ).
tcf(c_8487,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8475]) ).
tcf(c_8488,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8475]) ).
tcf(c_8489,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8475]) ).
tcf(c_8490,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8475]) ).
tcf(c_8491,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8475]) ).
tcf(c_8492,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8475]) ).
tcf(c_8493,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8475]) ).
tcf(c_8495,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8475,c_375]) ).
tcf(c_8496,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8475,c_50]) ).
tcf(c_8497,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8475,c_392]) ).
tcf(c_8498,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8492,c_1431,c_1950]) ).
tcf(c_8499,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8491,c_1671,c_1689]) ).
tcf(c_8500,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8490,c_1431]) ).
tcf(c_8501,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8493,c_1431]) ).
tcf(c_8502,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8495,c_50,c_49]) ).
tcf(c_8503,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8502,c_192]) ).
tcf(c_8504,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8497,c_193]) ).
tcf(c_8506,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8504,c_52,c_448,c_556]) ).
tcf(c_8507,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8506]) ).
tcf(c_8508,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8506]) ).
tcf(c_8509,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8506]) ).
tcf(c_8510,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8506]) ).
tcf(c_8511,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8506]) ).
tcf(c_8512,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8506]) ).
tcf(c_8513,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8506]) ).
tcf(c_8514,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8506]) ).
tcf(c_8515,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8506]) ).
tcf(c_8516,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8506]) ).
tcf(c_8517,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8506]) ).
tcf(c_8518,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8506]) ).
tcf(c_8519,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8506]) ).
tcf(c_8520,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8506]) ).
tcf(c_8521,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8506]) ).
tcf(c_8522,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8506]) ).
tcf(c_8523,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8506]) ).
tcf(c_8524,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8506]) ).
tcf(c_8526,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8506,c_375]) ).
tcf(c_8527,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8506,c_50]) ).
tcf(c_8528,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8506,c_392]) ).
tcf(c_8529,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8523,c_1431,c_1950]) ).
tcf(c_8530,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8522,c_1671,c_1689]) ).
tcf(c_8531,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8521,c_1431]) ).
tcf(c_8532,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8524,c_1431]) ).
tcf(c_8533,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8526,c_50,c_49]) ).
tcf(c_8534,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8533,c_192]) ).
tcf(c_8535,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8528,c_193]) ).
tcf(c_8543,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(demodulation,[status(thm)],[c_278,c_49,c_191,c_7732,c_7878,c_8195]) ).
tcf(c_8562,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11)))))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_8543]) ).
tcf(c_8563,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))),complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8004,c_8543]) ).
tcf(c_8564,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_49,c_8543]) ).
tcf(c_8582,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_8543,c_7878]) ).
tcf(c_8583,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8543,c_375]) ).
tcf(c_8584,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8543,c_50]) ).
tcf(c_8588,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_8582,c_50,c_49]) ).
tcf(c_8589,plain,
! [X0: $i] : join(complement(iPr_def_10),join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_8583,c_50,c_49]) ).
tcf(c_8592,plain,
join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_8562,c_50,c_49]) ).
tcf(c_8593,plain,
join(complement(join(iPr_def_11,iPr_def_10)),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8592,c_1671]) ).
tcf(c_8596,plain,
join(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_8563,c_50,c_49]) ).
tcf(c_8604,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8535,c_52,c_448,c_556]) ).
tcf(c_8605,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8604]) ).
tcf(c_8606,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8604]) ).
tcf(c_8607,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8604]) ).
tcf(c_8608,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8604]) ).
tcf(c_8609,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8604]) ).
tcf(c_8610,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8604]) ).
tcf(c_8611,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8604]) ).
tcf(c_8612,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8604]) ).
tcf(c_8613,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8604]) ).
tcf(c_8614,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8604]) ).
tcf(c_8615,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8604]) ).
tcf(c_8616,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8604]) ).
tcf(c_8617,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8604]) ).
tcf(c_8618,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8604]) ).
tcf(c_8619,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8604]) ).
tcf(c_8620,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8604]) ).
tcf(c_8621,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8604]) ).
tcf(c_8622,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8604]) ).
tcf(c_8624,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8604,c_375]) ).
tcf(c_8625,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8604,c_50]) ).
tcf(c_8626,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8604,c_392]) ).
tcf(c_8627,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8621,c_1431,c_1950]) ).
tcf(c_8628,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8620,c_1671,c_1689]) ).
tcf(c_8629,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8619,c_1431]) ).
tcf(c_8630,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8622,c_1431]) ).
tcf(c_8631,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8624,c_50,c_49]) ).
tcf(c_8632,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8631,c_192]) ).
tcf(c_8633,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8626,c_193]) ).
tcf(c_8645,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8633,c_52,c_448,c_556]) ).
tcf(c_8646,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8645]) ).
tcf(c_8647,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8645]) ).
tcf(c_8648,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8645]) ).
tcf(c_8649,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8645]) ).
tcf(c_8650,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8645]) ).
tcf(c_8651,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8645]) ).
tcf(c_8652,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8645]) ).
tcf(c_8653,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8645]) ).
tcf(c_8654,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8645]) ).
tcf(c_8655,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8645]) ).
tcf(c_8656,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8645]) ).
tcf(c_8657,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8645]) ).
tcf(c_8658,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8645]) ).
tcf(c_8659,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8645]) ).
tcf(c_8660,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8645]) ).
tcf(c_8661,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8645]) ).
tcf(c_8662,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8645]) ).
tcf(c_8663,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8645]) ).
tcf(c_8665,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8645,c_375]) ).
tcf(c_8666,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8645,c_50]) ).
tcf(c_8667,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8645,c_392]) ).
tcf(c_8668,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8662,c_1431,c_1950]) ).
tcf(c_8669,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8661,c_1671,c_1689]) ).
tcf(c_8670,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8660,c_1431]) ).
tcf(c_8671,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8663,c_1431]) ).
tcf(c_8672,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8665,c_50,c_49]) ).
tcf(c_8673,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8672,c_192]) ).
tcf(c_8674,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8667,c_193]) ).
tcf(c_8676,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8674,c_52,c_448,c_556]) ).
tcf(c_8677,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8676]) ).
tcf(c_8678,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8676]) ).
tcf(c_8679,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8676]) ).
tcf(c_8680,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8676]) ).
tcf(c_8681,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8676]) ).
tcf(c_8682,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8676]) ).
tcf(c_8683,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8676]) ).
tcf(c_8684,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8676]) ).
tcf(c_8685,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8676]) ).
tcf(c_8686,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8676]) ).
tcf(c_8687,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8676]) ).
tcf(c_8688,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8676]) ).
tcf(c_8689,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8676]) ).
tcf(c_8690,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8676]) ).
tcf(c_8691,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8676]) ).
tcf(c_8692,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8676]) ).
tcf(c_8693,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8676]) ).
tcf(c_8694,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8676]) ).
tcf(c_8696,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8676,c_375]) ).
tcf(c_8697,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8676,c_50]) ).
tcf(c_8698,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8676,c_392]) ).
tcf(c_8699,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8693,c_1431,c_1950]) ).
tcf(c_8700,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8692,c_1671,c_1689]) ).
tcf(c_8701,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8691,c_1431]) ).
tcf(c_8702,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8694,c_1431]) ).
tcf(c_8703,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8696,c_50,c_49]) ).
tcf(c_8704,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8703,c_192]) ).
tcf(c_8705,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8698,c_193]) ).
tcf(c_8713,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8705,c_52,c_448,c_556]) ).
tcf(c_8714,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8713]) ).
tcf(c_8715,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8713]) ).
tcf(c_8716,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8713]) ).
tcf(c_8717,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8713]) ).
tcf(c_8718,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8713]) ).
tcf(c_8719,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8713]) ).
tcf(c_8720,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8713]) ).
tcf(c_8721,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8713]) ).
tcf(c_8722,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8713]) ).
tcf(c_8723,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8713]) ).
tcf(c_8724,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8713]) ).
tcf(c_8725,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8713]) ).
tcf(c_8726,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8713]) ).
tcf(c_8727,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8713]) ).
tcf(c_8728,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8713]) ).
tcf(c_8729,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8713]) ).
tcf(c_8730,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8713]) ).
tcf(c_8731,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8713]) ).
tcf(c_8733,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8713,c_375]) ).
tcf(c_8734,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8713,c_50]) ).
tcf(c_8735,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8713,c_392]) ).
tcf(c_8736,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8730,c_1431,c_1950]) ).
tcf(c_8737,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8729,c_1671,c_1689]) ).
tcf(c_8738,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8728,c_1431]) ).
tcf(c_8739,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8731,c_1431]) ).
tcf(c_8740,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8733,c_50,c_49]) ).
tcf(c_8741,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8740,c_192]) ).
tcf(c_8742,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8735,c_193]) ).
tcf(c_8755,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8742,c_52,c_448,c_556]) ).
tcf(c_8756,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8755]) ).
tcf(c_8757,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8755]) ).
tcf(c_8758,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8755]) ).
tcf(c_8759,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8755]) ).
tcf(c_8760,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8755]) ).
tcf(c_8761,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8755]) ).
tcf(c_8762,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8755]) ).
tcf(c_8763,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8755]) ).
tcf(c_8764,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8755]) ).
tcf(c_8765,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8755]) ).
tcf(c_8766,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8755]) ).
tcf(c_8767,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8755]) ).
tcf(c_8768,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8755]) ).
tcf(c_8769,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8755]) ).
tcf(c_8770,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8755]) ).
tcf(c_8771,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8755]) ).
tcf(c_8772,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8755]) ).
tcf(c_8773,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8755]) ).
tcf(c_8775,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8755,c_375]) ).
tcf(c_8776,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8755,c_50]) ).
tcf(c_8777,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8755,c_392]) ).
tcf(c_8778,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8772,c_1431,c_1950]) ).
tcf(c_8779,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8771,c_1671,c_1689]) ).
tcf(c_8780,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8770,c_1431]) ).
tcf(c_8781,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8773,c_1431]) ).
tcf(c_8782,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8775,c_50,c_49]) ).
tcf(c_8783,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8782,c_192]) ).
tcf(c_8784,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8777,c_193]) ).
tcf(c_8786,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8784,c_52,c_448,c_556]) ).
tcf(c_8787,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8786]) ).
tcf(c_8788,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8786]) ).
tcf(c_8789,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8786]) ).
tcf(c_8790,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8786]) ).
tcf(c_8791,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8786]) ).
tcf(c_8792,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8786]) ).
tcf(c_8793,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8786]) ).
tcf(c_8794,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8786]) ).
tcf(c_8795,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8786]) ).
tcf(c_8796,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8786]) ).
tcf(c_8797,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8786]) ).
tcf(c_8798,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8786]) ).
tcf(c_8799,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8786]) ).
tcf(c_8800,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8786]) ).
tcf(c_8801,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8786]) ).
tcf(c_8802,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8786]) ).
tcf(c_8803,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8786]) ).
tcf(c_8804,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8786]) ).
tcf(c_8806,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8786,c_375]) ).
tcf(c_8807,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8786,c_50]) ).
tcf(c_8808,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8786,c_392]) ).
tcf(c_8809,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8803,c_1431,c_1950]) ).
tcf(c_8810,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8802,c_1671,c_1689]) ).
tcf(c_8811,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8801,c_1431]) ).
tcf(c_8812,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8804,c_1431]) ).
tcf(c_8813,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8806,c_50,c_49]) ).
tcf(c_8814,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8813,c_192]) ).
tcf(c_8815,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8808,c_193]) ).
tcf(c_8837,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8815,c_52,c_448,c_556]) ).
tcf(c_8838,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8837]) ).
tcf(c_8839,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8837]) ).
tcf(c_8840,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8837]) ).
tcf(c_8841,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8837]) ).
tcf(c_8842,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8837]) ).
tcf(c_8843,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8837]) ).
tcf(c_8844,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8837]) ).
tcf(c_8845,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8837]) ).
tcf(c_8846,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8837]) ).
tcf(c_8847,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8837]) ).
tcf(c_8848,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8837]) ).
tcf(c_8849,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8837]) ).
tcf(c_8850,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8837]) ).
tcf(c_8851,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8837]) ).
tcf(c_8852,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8837]) ).
tcf(c_8853,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8837]) ).
tcf(c_8854,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8837]) ).
tcf(c_8855,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8837]) ).
tcf(c_8857,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8837,c_375]) ).
tcf(c_8858,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8837,c_50]) ).
tcf(c_8859,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8837,c_392]) ).
tcf(c_8860,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8854,c_1431,c_1950]) ).
tcf(c_8861,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8853,c_1671,c_1689]) ).
tcf(c_8862,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8852,c_1431]) ).
tcf(c_8863,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8855,c_1431]) ).
tcf(c_8864,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8857,c_50,c_49]) ).
tcf(c_8865,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8864,c_192]) ).
tcf(c_8866,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8859,c_193]) ).
tcf(c_8879,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8866,c_52,c_448,c_556]) ).
tcf(c_8880,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_8879]) ).
tcf(c_8881,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_8879]) ).
tcf(c_8882,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_8879]) ).
tcf(c_8883,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_8879]) ).
tcf(c_8884,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_8879]) ).
tcf(c_8885,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_8879]) ).
tcf(c_8886,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_8879]) ).
tcf(c_8887,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_8879]) ).
tcf(c_8888,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_8879]) ).
tcf(c_8889,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_8879]) ).
tcf(c_8890,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_8879]) ).
tcf(c_8891,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_8879]) ).
tcf(c_8892,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_8879]) ).
tcf(c_8893,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_8879]) ).
tcf(c_8894,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_8879]) ).
tcf(c_8895,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_8879]) ).
tcf(c_8896,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_8879]) ).
tcf(c_8897,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_8879]) ).
tcf(c_8899,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8879,c_375]) ).
tcf(c_8900,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_8879,c_50]) ).
tcf(c_8901,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8879,c_392]) ).
tcf(c_8902,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8896,c_1431,c_1950]) ).
tcf(c_8903,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8895,c_1671,c_1689]) ).
tcf(c_8904,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8894,c_1431]) ).
tcf(c_8905,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8897,c_1431]) ).
tcf(c_8906,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_8899,c_50,c_49]) ).
tcf(c_8907,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_8906,c_192]) ).
tcf(c_8908,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8901,c_193]) ).
tcf(c_8911,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_7455,c_8217]) ).
tcf(c_8913,plain,
composition(converse(iPr_def_10),zero) = zero,
inference(superposition,[status(thm)],[c_8201,c_8911]) ).
tcf(c_8914,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_8911,c_54]) ).
tcf(c_8915,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_8911,c_52]) ).
tcf(c_8916,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_8911,c_54]) ).
tcf(c_8917,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_8911,c_76]) ).
tcf(c_8918,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_8911,c_226]) ).
tcf(c_8919,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_8918,c_1950]) ).
tcf(c_8920,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(converse(iPr_def_10)),top)) = complement(composition(iPr_def_12,X0)),
inference(light_normalisation,[status(thm)],[c_8917,c_1431]) ).
tcf(c_8921,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_8916,c_50,c_49]) ).
tcf(c_8927,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_7717,c_8217]) ).
tcf(c_8932,plain,
composition(converse(iPr_def_12),zero) = zero,
inference(superposition,[status(thm)],[c_8201,c_8927]) ).
tcf(c_8933,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_8927,c_54]) ).
tcf(c_8934,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_8927,c_52]) ).
tcf(c_8935,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_8927,c_54]) ).
tcf(c_8936,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_8927,c_76]) ).
tcf(c_8937,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_8927,c_226]) ).
tcf(c_8938,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_8937,c_1950]) ).
tcf(c_8939,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(converse(iPr_def_12)),top)) = complement(composition(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_8936,c_1431]) ).
tcf(c_8940,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_8935,c_50,c_49]) ).
tcf(c_9017,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_54,c_191]) ).
tcf(c_9018,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_56,c_191]) ).
tcf(c_9019,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_59,c_191]) ).
tcf(c_9020,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_76,c_191]) ).
tcf(c_9021,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1336,c_191]) ).
tcf(c_9022,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_11)) = join(X0,top),
inference(superposition,[status(thm)],[c_209,c_191]) ).
tcf(c_9023,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_349,c_191]) ).
tcf(c_9024,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_375,c_191]) ).
tcf(c_9025,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = join(X1,top),
inference(superposition,[status(thm)],[c_7124,c_191]) ).
tcf(c_9026,plain,
! [X0: $i,X1: $i] : join(top,join(X0,X1)) = join(X0,top),
inference(superposition,[status(thm)],[c_7096,c_191]) ).
tcf(c_9027,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_7123,c_191]) ).
tcf(c_9028,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,top)) = join(X1,top),
inference(superposition,[status(thm)],[c_7015,c_191]) ).
tcf(c_9029,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,zero)) = join(X1,X0),
inference(superposition,[status(thm)],[c_1429,c_191]) ).
tcf(c_9030,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_432,c_191]) ).
tcf(c_9031,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_7122,c_191]) ).
tcf(c_9032,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_7305,c_191]) ).
tcf(c_9033,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_7698,c_191]) ).
tcf(c_9035,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))))) = join(X0,join(iPr_def_11,complement(X1))),
inference(superposition,[status(thm)],[c_1888,c_191]) ).
tcf(c_9036,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2528,c_191]) ).
tcf(c_9037,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2552,c_191]) ).
tcf(c_9038,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2576,c_191]) ).
tcf(c_9039,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2788,c_191]) ).
tcf(c_9040,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2992,c_191]) ).
tcf(c_9041,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_12)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_3207,c_191]) ).
tcf(c_9042,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,X1))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_3214,c_191]) ).
tcf(c_9043,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3225,c_191]) ).
tcf(c_9044,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3472,c_191]) ).
tcf(c_9045,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3911,c_191]) ).
tcf(c_9046,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3941,c_191]) ).
tcf(c_9047,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3971,c_191]) ).
tcf(c_9048,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_4025,c_191]) ).
tcf(c_9049,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_4192,c_191]) ).
tcf(c_9050,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_4183,c_191]) ).
tcf(c_9051,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_4671,c_191]) ).
tcf(c_9052,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(iPr_def_12,top))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_7724,c_191]) ).
tcf(c_9053,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_7793,c_191]) ).
tcf(c_9055,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_7925,c_191]) ).
tcf(c_9056,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_7975,c_191]) ).
tcf(c_9057,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X1,iPr_def_11))))))))) = join(X0,join(iPr_def_11,complement(join(X1,iPr_def_11)))),
inference(superposition,[status(thm)],[c_8004,c_191]) ).
tcf(c_9058,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8044,c_191]) ).
tcf(c_9059,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8078,c_191]) ).
tcf(c_9060,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8289,c_191]) ).
tcf(c_9061,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8321,c_191]) ).
tcf(c_9062,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8362,c_191]) ).
tcf(c_9063,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8413,c_191]) ).
tcf(c_9064,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8444,c_191]) ).
tcf(c_9065,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8475,c_191]) ).
tcf(c_9066,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8506,c_191]) ).
tcf(c_9067,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(X1,complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(X1,iPr_def_10),
inference(superposition,[status(thm)],[c_8543,c_191]) ).
tcf(c_9068,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8604,c_191]) ).
tcf(c_9069,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8645,c_191]) ).
tcf(c_9070,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8676,c_191]) ).
tcf(c_9071,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8713,c_191]) ).
tcf(c_9072,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8755,c_191]) ).
tcf(c_9073,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8786,c_191]) ).
tcf(c_9074,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8837,c_191]) ).
tcf(c_9075,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_8879,c_191]) ).
tcf(c_9099,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X0,X2))) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_191,c_7878]) ).
tcf(c_9100,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_191,c_375]) ).
tcf(c_9101,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = top,
inference(superposition,[status(thm)],[c_191,c_7124]) ).
tcf(c_9103,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(iPr_def_11,X1))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X1)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_191,c_8543]) ).
tcf(c_9106,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_191,c_221]) ).
tcf(c_9108,plain,
! [X0: $i,X1: $i] : join(X0,join(top,X1)) = top,
inference(superposition,[status(thm)],[c_191,c_7096]) ).
tcf(c_9109,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,X1),top)) = composition(join(X0,join(iPr_def_10,X1)),top),
inference(superposition,[status(thm)],[c_191,c_392]) ).
tcf(c_9113,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_191,c_7305]) ).
tcf(c_9115,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(iPr_def_11,X1))) = top,
inference(superposition,[status(thm)],[c_191,c_7698]) ).
tcf(c_9116,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X0,X1),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_191,c_7769]) ).
tcf(c_9117,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,X1))) = converse(join(X0,join(one,X1))),
inference(superposition,[status(thm)],[c_191,c_1723]) ).
tcf(c_9118,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,complement(X0)),
inference(superposition,[status(thm)],[c_191,c_1888]) ).
tcf(c_9120,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_12)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_191,c_4183]) ).
tcf(c_9121,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_191,c_8004]) ).
tcf(c_9122,plain,
! [X0: $i] : join(X0,iPr_def_11) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_9120,c_3207]) ).
tcf(c_9123,plain,
! [X0: $i,X1: $i] : join(top,join(X0,X1)) = top,
inference(light_normalisation,[status(thm)],[c_9026,c_7015]) ).
tcf(c_9125,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_9049,c_7015]) ).
tcf(c_9127,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,join(X1,X1))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_9116,c_50,c_49]) ).
tcf(c_9135,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_9100,c_50,c_49]) ).
tcf(c_9137,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_9118,c_7786]) ).
tcf(c_9159,plain,
join(one,converse(complement(one))) = top,
inference(light_normalisation,[status(thm)],[c_1716,c_2343]) ).
tcf(c_9161,plain,
join(one,join(converse(complement(one)),complement(top))) = top,
inference(superposition,[status(thm)],[c_9159,c_375]) ).
tcf(c_9162,plain,
! [X0: $i] : join(one,join(converse(complement(one)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_9159,c_50]) ).
tcf(c_9163,plain,
! [X0: $i] : join(one,join(X0,converse(complement(one)))) = join(X0,top),
inference(superposition,[status(thm)],[c_9159,c_191]) ).
tcf(c_9166,plain,
join(converse(one),complement(one)) = converse(top),
inference(superposition,[status(thm)],[c_9159,c_222]) ).
tcf(c_9167,plain,
join(one,converse(converse(complement(one)))) = converse(top),
inference(superposition,[status(thm)],[c_9159,c_1723]) ).
tcf(c_9168,plain,
join(complement(one),converse(one)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_9166,c_50,c_49]) ).
tcf(c_9169,plain,
join(complement(one),one) = top,
inference(light_normalisation,[status(thm)],[c_9168,c_1689,c_2343]) ).
tcf(c_9170,plain,
join(one,complement(one)) = top,
inference(theory_normalisation,[status(thm)],[c_9169,c_50,c_49]) ).
tcf(c_9171,plain,
join(one,converse(converse(complement(one)))) = top,
inference(light_normalisation,[status(thm)],[c_9167,c_2281,c_2343]) ).
tcf(c_9172,plain,
join(one,join(complement(top),converse(complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_9161,c_50,c_49]) ).
tcf(c_9174,plain,
! [X0: $i] : join(one,join(X0,converse(complement(one)))) = top,
inference(light_normalisation,[status(thm)],[c_9163,c_7015]) ).
tcf(c_9175,plain,
! [X0: $i] : join(one,join(converse(complement(one)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_9162,c_7096]) ).
tcf(c_9177,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8908,c_52,c_448,c_556]) ).
tcf(c_9178,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9177]) ).
tcf(c_9179,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9177]) ).
tcf(c_9180,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9177]) ).
tcf(c_9181,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9177]) ).
tcf(c_9182,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9177]) ).
tcf(c_9183,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9177]) ).
tcf(c_9184,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9177]) ).
tcf(c_9185,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9177]) ).
tcf(c_9186,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9177]) ).
tcf(c_9187,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9177]) ).
tcf(c_9188,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9177]) ).
tcf(c_9189,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9177]) ).
tcf(c_9190,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9177]) ).
tcf(c_9191,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9177]) ).
tcf(c_9192,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9177]) ).
tcf(c_9193,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9177]) ).
tcf(c_9194,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9177]) ).
tcf(c_9195,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9177]) ).
tcf(c_9197,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9177,c_375]) ).
tcf(c_9198,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9177,c_50]) ).
tcf(c_9199,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9177,c_191]) ).
tcf(c_9201,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9177,c_392]) ).
tcf(c_9202,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9194,c_1431,c_1950]) ).
tcf(c_9203,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9193,c_1671,c_1689]) ).
tcf(c_9204,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9192,c_1431]) ).
tcf(c_9205,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9195,c_1431]) ).
tcf(c_9206,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9197,c_50,c_49]) ).
tcf(c_9207,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9206,c_192]) ).
tcf(c_9208,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9201,c_193]) ).
tcf(c_9219,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9208,c_52,c_448,c_556]) ).
tcf(c_9220,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9219]) ).
tcf(c_9221,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9219]) ).
tcf(c_9222,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9219]) ).
tcf(c_9223,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9219]) ).
tcf(c_9224,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9219]) ).
tcf(c_9225,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9219]) ).
tcf(c_9226,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9219]) ).
tcf(c_9227,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9219]) ).
tcf(c_9228,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9219]) ).
tcf(c_9229,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9219]) ).
tcf(c_9230,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9219]) ).
tcf(c_9231,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9219]) ).
tcf(c_9232,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9219]) ).
tcf(c_9233,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9219]) ).
tcf(c_9234,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9219]) ).
tcf(c_9235,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9219]) ).
tcf(c_9236,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9219]) ).
tcf(c_9237,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9219]) ).
tcf(c_9239,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9219,c_375]) ).
tcf(c_9240,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9219,c_50]) ).
tcf(c_9241,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9219,c_191]) ).
tcf(c_9243,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9219,c_392]) ).
tcf(c_9244,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9236,c_1431,c_1950]) ).
tcf(c_9245,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9235,c_1671,c_1689]) ).
tcf(c_9246,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9234,c_1431]) ).
tcf(c_9247,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9237,c_1431]) ).
tcf(c_9248,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9239,c_50,c_49]) ).
tcf(c_9249,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9248,c_192]) ).
tcf(c_9250,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9243,c_193]) ).
tcf(c_9270,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9250,c_52,c_448,c_556]) ).
tcf(c_9271,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9270]) ).
tcf(c_9272,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9270]) ).
tcf(c_9273,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9270]) ).
tcf(c_9274,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9270]) ).
tcf(c_9275,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9270]) ).
tcf(c_9276,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9270]) ).
tcf(c_9277,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9270]) ).
tcf(c_9278,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9270]) ).
tcf(c_9279,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9270]) ).
tcf(c_9280,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9270]) ).
tcf(c_9281,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9270]) ).
tcf(c_9282,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9270]) ).
tcf(c_9283,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9270]) ).
tcf(c_9284,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9270]) ).
tcf(c_9285,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9270]) ).
tcf(c_9286,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9270]) ).
tcf(c_9287,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9270]) ).
tcf(c_9288,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9270]) ).
tcf(c_9290,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9270,c_375]) ).
tcf(c_9291,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9270,c_50]) ).
tcf(c_9292,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9270,c_191]) ).
tcf(c_9294,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9270,c_392]) ).
tcf(c_9295,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9287,c_1431,c_1950]) ).
tcf(c_9296,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9286,c_1671,c_1689]) ).
tcf(c_9297,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9285,c_1431]) ).
tcf(c_9298,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9288,c_1431]) ).
tcf(c_9299,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9290,c_50,c_49]) ).
tcf(c_9300,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9299,c_192]) ).
tcf(c_9301,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9294,c_193]) ).
tcf(c_9310,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9301,c_52,c_448,c_556]) ).
tcf(c_9311,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9310]) ).
tcf(c_9312,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9310]) ).
tcf(c_9313,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9310]) ).
tcf(c_9314,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9310]) ).
tcf(c_9315,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9310]) ).
tcf(c_9316,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9310]) ).
tcf(c_9317,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9310]) ).
tcf(c_9318,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9310]) ).
tcf(c_9319,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9310]) ).
tcf(c_9320,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9310]) ).
tcf(c_9321,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9310]) ).
tcf(c_9322,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9310]) ).
tcf(c_9323,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9310]) ).
tcf(c_9324,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9310]) ).
tcf(c_9325,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9310]) ).
tcf(c_9326,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9310]) ).
tcf(c_9327,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9310]) ).
tcf(c_9328,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9310]) ).
tcf(c_9330,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9310,c_375]) ).
tcf(c_9331,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9310,c_50]) ).
tcf(c_9332,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9310,c_191]) ).
tcf(c_9334,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9310,c_392]) ).
tcf(c_9335,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9327,c_1431,c_1950]) ).
tcf(c_9336,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9326,c_1671,c_1689]) ).
tcf(c_9337,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9325,c_1431]) ).
tcf(c_9338,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9328,c_1431]) ).
tcf(c_9339,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9330,c_50,c_49]) ).
tcf(c_9340,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9339,c_192]) ).
tcf(c_9341,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9334,c_193]) ).
tcf(c_9352,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9341,c_52,c_448,c_556]) ).
tcf(c_9353,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9352]) ).
tcf(c_9354,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9352]) ).
tcf(c_9355,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9352]) ).
tcf(c_9356,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9352]) ).
tcf(c_9357,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9352]) ).
tcf(c_9358,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9352]) ).
tcf(c_9359,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9352]) ).
tcf(c_9360,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9352]) ).
tcf(c_9361,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9352]) ).
tcf(c_9362,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9352]) ).
tcf(c_9363,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9352]) ).
tcf(c_9364,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9352]) ).
tcf(c_9365,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9352]) ).
tcf(c_9366,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9352]) ).
tcf(c_9367,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9352]) ).
tcf(c_9368,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9352]) ).
tcf(c_9369,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9352]) ).
tcf(c_9370,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9352]) ).
tcf(c_9372,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9352,c_375]) ).
tcf(c_9373,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9352,c_50]) ).
tcf(c_9374,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9352,c_191]) ).
tcf(c_9376,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9352,c_392]) ).
tcf(c_9377,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9369,c_1431,c_1950]) ).
tcf(c_9378,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9368,c_1671,c_1689]) ).
tcf(c_9379,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9367,c_1431]) ).
tcf(c_9380,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9370,c_1431]) ).
tcf(c_9381,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9372,c_50,c_49]) ).
tcf(c_9382,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9381,c_192]) ).
tcf(c_9383,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9376,c_193]) ).
tcf(c_9391,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9383,c_52,c_448,c_556]) ).
tcf(c_9392,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9391]) ).
tcf(c_9393,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9391]) ).
tcf(c_9394,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9391]) ).
tcf(c_9395,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9391]) ).
tcf(c_9396,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9391]) ).
tcf(c_9397,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9391]) ).
tcf(c_9398,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9391]) ).
tcf(c_9399,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9391]) ).
tcf(c_9400,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9391]) ).
tcf(c_9401,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9391]) ).
tcf(c_9402,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9391]) ).
tcf(c_9403,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9391]) ).
tcf(c_9404,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9391]) ).
tcf(c_9405,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9391]) ).
tcf(c_9406,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9391]) ).
tcf(c_9407,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9391]) ).
tcf(c_9408,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9391]) ).
tcf(c_9409,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9391]) ).
tcf(c_9411,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9391,c_375]) ).
tcf(c_9412,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9391,c_50]) ).
tcf(c_9413,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9391,c_191]) ).
tcf(c_9415,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9391,c_392]) ).
tcf(c_9416,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9408,c_1431,c_1950]) ).
tcf(c_9417,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9407,c_1671,c_1689]) ).
tcf(c_9418,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9406,c_1431]) ).
tcf(c_9419,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9409,c_1431]) ).
tcf(c_9420,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9411,c_50,c_49]) ).
tcf(c_9421,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9420,c_192]) ).
tcf(c_9422,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9415,c_193]) ).
tcf(c_9430,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9422,c_52,c_448,c_556]) ).
tcf(c_9431,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9430]) ).
tcf(c_9432,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9430]) ).
tcf(c_9433,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9430]) ).
tcf(c_9434,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9430]) ).
tcf(c_9435,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9430]) ).
tcf(c_9436,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9430]) ).
tcf(c_9437,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9430]) ).
tcf(c_9438,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9430]) ).
tcf(c_9439,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9430]) ).
tcf(c_9440,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9430]) ).
tcf(c_9441,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9430]) ).
tcf(c_9442,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9430]) ).
tcf(c_9443,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9430]) ).
tcf(c_9444,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9430]) ).
tcf(c_9445,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9430]) ).
tcf(c_9446,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9430]) ).
tcf(c_9447,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9430]) ).
tcf(c_9448,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9430]) ).
tcf(c_9450,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9430,c_375]) ).
tcf(c_9451,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9430,c_50]) ).
tcf(c_9452,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9430,c_191]) ).
tcf(c_9454,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9430,c_392]) ).
tcf(c_9455,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9447,c_1431,c_1950]) ).
tcf(c_9456,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9446,c_1671,c_1689]) ).
tcf(c_9457,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9445,c_1431]) ).
tcf(c_9458,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9448,c_1431]) ).
tcf(c_9459,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9450,c_50,c_49]) ).
tcf(c_9460,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9459,c_192]) ).
tcf(c_9461,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9454,c_193]) ).
tcf(c_9469,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9461,c_52,c_448,c_556]) ).
tcf(c_9470,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9469]) ).
tcf(c_9471,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9469]) ).
tcf(c_9472,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9469]) ).
tcf(c_9473,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9469]) ).
tcf(c_9474,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9469]) ).
tcf(c_9475,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9469]) ).
tcf(c_9476,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9469]) ).
tcf(c_9477,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9469]) ).
tcf(c_9478,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9469]) ).
tcf(c_9479,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9469]) ).
tcf(c_9480,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9469]) ).
tcf(c_9481,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9469]) ).
tcf(c_9482,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9469]) ).
tcf(c_9483,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9469]) ).
tcf(c_9484,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9469]) ).
tcf(c_9485,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9469]) ).
tcf(c_9486,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9469]) ).
tcf(c_9487,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9469]) ).
tcf(c_9489,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9469,c_375]) ).
tcf(c_9490,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9469,c_50]) ).
tcf(c_9491,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9469,c_191]) ).
tcf(c_9493,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9469,c_392]) ).
tcf(c_9494,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9486,c_1431,c_1950]) ).
tcf(c_9495,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9485,c_1671,c_1689]) ).
tcf(c_9496,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9484,c_1431]) ).
tcf(c_9497,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9487,c_1431]) ).
tcf(c_9498,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9489,c_50,c_49]) ).
tcf(c_9499,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9498,c_192]) ).
tcf(c_9500,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9493,c_193]) ).
tcf(c_9511,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(converse(complement(one)),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_9175]) ).
tcf(c_9519,plain,
! [X0: $i] : join(one,join(join(converse(complement(one)),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_9175,c_375]) ).
tcf(c_9520,plain,
! [X0: $i,X1: $i] : join(one,join(join(converse(complement(one)),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_9175,c_50]) ).
tcf(c_9521,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(converse(complement(one)),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_9175,c_191]) ).
tcf(c_9524,plain,
! [X0: $i] : join(one,converse(join(converse(complement(one)),X0))) = converse(top),
inference(superposition,[status(thm)],[c_9175,c_1723]) ).
tcf(c_9525,plain,
! [X0: $i] : join(one,converse(join(converse(complement(one)),X0))) = top,
inference(light_normalisation,[status(thm)],[c_9524,c_2343]) ).
tcf(c_9526,plain,
! [X0: $i] : join(one,join(complement(top),join(X0,converse(complement(one))))) = top,
inference(theory_normalisation,[status(thm)],[c_9519,c_50,c_49]) ).
tcf(c_9527,plain,
! [X0: $i] : join(one,join(zero,join(X0,converse(complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_9526,c_107]) ).
tcf(c_9529,plain,
! [X0: $i,X1: $i] : join(one,join(converse(complement(one)),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_9520,c_50,c_49]) ).
tcf(c_9545,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_348,c_1336]) ).
tcf(c_9546,plain,
! [X0: $i] : composition(X0,complement(composition(converse(X0),top))) = zero,
inference(superposition,[status(thm)],[c_55,c_9545]) ).
tcf(c_9547,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),complement(composition(join(converse(X1),X0),top))) = zero,
inference(superposition,[status(thm)],[c_985,c_9545]) ).
tcf(c_9548,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),top))) = zero,
inference(superposition,[status(thm)],[c_221,c_9545]) ).
tcf(c_9549,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),complement(composition(join(X1,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_765,c_9545]) ).
tcf(c_9550,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),top))) = zero,
inference(superposition,[status(thm)],[c_222,c_9545]) ).
tcf(c_9551,plain,
! [X0: $i,X1: $i] : composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_225,c_9545]) ).
tcf(c_9552,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),top))) = zero,
inference(superposition,[status(thm)],[c_226,c_9545]) ).
tcf(c_9553,plain,
composition(top,complement(composition(top,top))) = zero,
inference(superposition,[status(thm)],[c_2343,c_9545]) ).
tcf(c_9554,plain,
composition(zero,complement(composition(zero,top))) = zero,
inference(superposition,[status(thm)],[c_1950,c_9545]) ).
tcf(c_9555,plain,
composition(one,complement(composition(one,top))) = zero,
inference(superposition,[status(thm)],[c_1689,c_9545]) ).
tcf(c_9556,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(join(one,X0),top))) = zero,
inference(superposition,[status(thm)],[c_1723,c_9545]) ).
tcf(c_9557,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(join(X0,one),top))) = zero,
inference(superposition,[status(thm)],[c_1729,c_9545]) ).
tcf(c_9558,plain,
! [X0: $i] : composition(composition(converse(X0),top),complement(composition(composition(top,X0),top))) = zero,
inference(superposition,[status(thm)],[c_2357,c_9545]) ).
tcf(c_9559,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero,
inference(superposition,[status(thm)],[c_52,c_9545]) ).
tcf(c_9561,plain,
composition(converse(iPr_def_10),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_193,c_9545]) ).
tcf(c_9562,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_392,c_9545]) ).
tcf(c_9563,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_10)),complement(join(iPr_def_10,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_401,c_9545]) ).
tcf(c_9564,plain,
composition(converse(top),complement(join(iPr_def_10,iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_448,c_9545]) ).
tcf(c_9565,plain,
composition(converse(one),complement(top)) = zero,
inference(superposition,[status(thm)],[c_1708,c_9545]) ).
tcf(c_9566,plain,
composition(converse(zero),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_8217,c_9545]) ).
tcf(c_9567,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_9545,c_54]) ).
tcf(c_9568,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(complement(composition(X0,top)),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_9545,c_52]) ).
tcf(c_9569,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_9545,c_54]) ).
tcf(c_9570,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_9545,c_76]) ).
tcf(c_9571,plain,
join(complement(top),zero) = complement(top),
inference(superposition,[status(thm)],[c_9545,c_76]) ).
tcf(c_9572,plain,
! [X0: $i] : composition(converse(complement(composition(X0,top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_9545,c_226]) ).
tcf(c_9573,plain,
join(zero,complement(top)) = complement(top),
inference(theory_normalisation,[status(thm)],[c_9571,c_50,c_49]) ).
tcf(c_9578,plain,
composition(top,complement(join(iPr_def_10,iPr_def_12))) = zero,
inference(light_normalisation,[status(thm)],[c_9553,c_448]) ).
tcf(c_9580,plain,
! [X0: $i] : composition(converse(complement(composition(X0,top))),X0) = zero,
inference(light_normalisation,[status(thm)],[c_9572,c_1950]) ).
tcf(c_9581,plain,
! [X0: $i] : join(complement(complement(composition(X0,top))),composition(X0,top)) = complement(complement(composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_9570,c_55,c_1431]) ).
tcf(c_9582,plain,
! [X0: $i] : join(composition(X0,top),complement(complement(composition(X0,top)))) = complement(complement(composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_9581,c_50,c_49]) ).
tcf(c_9583,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_9569,c_50,c_49]) ).
tcf(c_9597,plain,
! [X0: $i] : composition(join(one,X0),complement(composition(join(one,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_1723,c_9546]) ).
tcf(c_9598,plain,
! [X0: $i] : composition(join(X0,one),complement(composition(join(one,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_1729,c_9546]) ).
tcf(c_9599,plain,
! [X0: $i] : composition(composition(top,X0),complement(composition(composition(converse(X0),top),top))) = zero,
inference(superposition,[status(thm)],[c_2357,c_9546]) ).
tcf(c_9600,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_9546,c_54]) ).
tcf(c_9601,plain,
! [X0: $i,X1: $i] : composition(X0,composition(complement(composition(converse(X0),top)),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_9546,c_52]) ).
tcf(c_9602,plain,
! [X0: $i,X1: $i] : composition(X0,composition(X1,complement(composition(converse(composition(X0,X1)),top)))) = zero,
inference(superposition,[status(thm)],[c_9546,c_52]) ).
tcf(c_9603,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_9546,c_54]) ).
tcf(c_9604,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_9546,c_76]) ).
tcf(c_9605,plain,
! [X0: $i] : composition(converse(complement(composition(converse(converse(X0)),top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_9546,c_226]) ).
tcf(c_9607,plain,
composition(converse(complement(composition(converse(top),top))),top) = converse(zero),
inference(superposition,[status(thm)],[c_9546,c_2357]) ).
tcf(c_9608,plain,
composition(iPr_def_12,complement(composition(converse(top),top))) = composition(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_9546,c_382]) ).
tcf(c_9609,plain,
composition(iPr_def_10,complement(composition(converse(top),top))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_9546,c_383]) ).
tcf(c_9611,plain,
complement(composition(converse(one),top)) = zero,
inference(superposition,[status(thm)],[c_9546,c_1708]) ).
tcf(c_9612,plain,
complement(composition(one,top)) = zero,
inference(light_normalisation,[status(thm)],[c_9611,c_1689]) ).
tcf(c_9613,plain,
composition(iPr_def_10,complement(join(iPr_def_10,iPr_def_12))) = composition(iPr_def_10,zero),
inference(light_normalisation,[status(thm)],[c_9609,c_448,c_2343]) ).
tcf(c_9614,plain,
composition(iPr_def_12,complement(join(iPr_def_10,iPr_def_12))) = composition(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_9608,c_448,c_2343]) ).
tcf(c_9615,plain,
composition(converse(complement(join(iPr_def_10,iPr_def_12))),top) = zero,
inference(light_normalisation,[status(thm)],[c_9607,c_448,c_1950,c_2343]) ).
tcf(c_9617,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_9604,c_50,c_49]) ).
tcf(c_9618,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_9617,c_1431]) ).
tcf(c_9619,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_9603,c_50,c_49]) ).
tcf(c_9621,plain,
! [X0: $i] : join(complement(one),composition(X0,complement(converse(X0)))) = complement(one),
inference(superposition,[status(thm)],[c_55,c_351]) ).
tcf(c_9622,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_985,c_351]) ).
tcf(c_9623,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_221,c_351]) ).
tcf(c_9624,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_765,c_351]) ).
tcf(c_9625,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_222,c_351]) ).
tcf(c_9626,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_225,c_351]) ).
tcf(c_9627,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_226,c_351]) ).
tcf(c_9628,plain,
join(complement(one),composition(top,complement(top))) = complement(one),
inference(superposition,[status(thm)],[c_2343,c_351]) ).
tcf(c_9629,plain,
join(complement(one),composition(zero,complement(zero))) = complement(one),
inference(superposition,[status(thm)],[c_1950,c_351]) ).
tcf(c_9630,plain,
join(complement(one),composition(one,complement(one))) = complement(one),
inference(superposition,[status(thm)],[c_1689,c_351]) ).
tcf(c_9631,plain,
! [X0: $i] : join(complement(one),composition(join(one,converse(X0)),complement(join(one,X0)))) = complement(one),
inference(superposition,[status(thm)],[c_1723,c_351]) ).
tcf(c_9632,plain,
! [X0: $i] : join(complement(one),composition(join(one,converse(X0)),complement(join(X0,one)))) = complement(one),
inference(superposition,[status(thm)],[c_1729,c_351]) ).
tcf(c_9633,plain,
! [X0: $i] : join(complement(one),composition(composition(converse(X0),top),complement(composition(top,X0)))) = complement(one),
inference(superposition,[status(thm)],[c_2357,c_351]) ).
tcf(c_9634,plain,
! [X0: $i] : join(complement(one),composition(converse(complement(X0)),X0)) = complement(one),
inference(superposition,[status(thm)],[c_7732,c_351]) ).
tcf(c_9635,plain,
join(complement(one),composition(converse(top),zero)) = complement(one),
inference(superposition,[status(thm)],[c_107,c_351]) ).
tcf(c_9636,plain,
join(complement(one),composition(converse(iPr_def_10),iPr_def_11)) = complement(one),
inference(superposition,[status(thm)],[c_192,c_351]) ).
tcf(c_9637,plain,
join(complement(one),composition(converse(iPr_def_11),iPr_def_10)) = complement(one),
inference(superposition,[status(thm)],[c_1671,c_351]) ).
tcf(c_9638,plain,
join(complement(one),composition(converse(zero),top)) = complement(one),
inference(superposition,[status(thm)],[c_1431,c_351]) ).
tcf(c_9639,plain,
join(complement(one),complement(one)) = complement(one),
inference(superposition,[status(thm)],[c_351,c_7878]) ).
tcf(c_9640,plain,
! [X0: $i] : join(complement(one),join(composition(converse(X0),complement(X0)),complement(complement(one)))) = top,
inference(superposition,[status(thm)],[c_351,c_375]) ).
tcf(c_9641,plain,
! [X0: $i,X1: $i] : join(complement(one),join(composition(converse(X0),complement(X0)),X1)) = join(complement(one),X1),
inference(superposition,[status(thm)],[c_351,c_50]) ).
tcf(c_9644,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,composition(converse(X1),complement(X1)))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_351,c_191]) ).
tcf(c_9645,plain,
join(complement(one),composition(zero,top)) = complement(one),
inference(light_normalisation,[status(thm)],[c_9638,c_1950]) ).
tcf(c_9646,plain,
join(complement(one),zero) = complement(one),
inference(light_normalisation,[status(thm)],[c_9637,c_3196]) ).
tcf(c_9648,plain,
join(complement(one),composition(top,zero)) = complement(one),
inference(light_normalisation,[status(thm)],[c_9635,c_2343]) ).
tcf(c_9651,plain,
! [X0: $i] : join(complement(one),join(complement(complement(one)),composition(converse(X0),complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_9640,c_50,c_49]) ).
tcf(c_9700,plain,
! [X0: $i] : join(converse(X0),converse(complement(X0))) = top,
inference(superposition,[status(thm)],[c_55,c_2345]) ).
tcf(c_9701,plain,
! [X0: $i,X1: $i] : join(join(converse(X0),X1),converse(complement(join(converse(X1),X0)))) = top,
inference(superposition,[status(thm)],[c_985,c_2345]) ).
tcf(c_9702,plain,
! [X0: $i,X1: $i] : join(join(converse(X0),X1),converse(complement(join(X0,converse(X1))))) = top,
inference(superposition,[status(thm)],[c_221,c_2345]) ).
tcf(c_9703,plain,
! [X0: $i,X1: $i] : join(join(X0,converse(X1)),converse(complement(join(X1,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_765,c_2345]) ).
tcf(c_9704,plain,
! [X0: $i,X1: $i] : join(join(X0,converse(X1)),converse(complement(join(converse(X0),X1)))) = top,
inference(superposition,[status(thm)],[c_222,c_2345]) ).
tcf(c_9705,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(complement(composition(X1,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_225,c_2345]) ).
tcf(c_9706,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),X1),converse(complement(composition(converse(X1),X0)))) = top,
inference(superposition,[status(thm)],[c_226,c_2345]) ).
tcf(c_9707,plain,
join(top,converse(complement(top))) = top,
inference(superposition,[status(thm)],[c_2343,c_2345]) ).
tcf(c_9708,plain,
join(zero,converse(complement(zero))) = top,
inference(superposition,[status(thm)],[c_1950,c_2345]) ).
tcf(c_9710,plain,
! [X0: $i] : join(join(one,X0),converse(complement(join(one,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1723,c_2345]) ).
tcf(c_9711,plain,
! [X0: $i] : join(join(X0,one),converse(complement(join(one,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1729,c_2345]) ).
tcf(c_9712,plain,
! [X0: $i] : join(composition(top,X0),converse(complement(composition(converse(X0),top)))) = top,
inference(superposition,[status(thm)],[c_2357,c_2345]) ).
tcf(c_9714,plain,
! [X0: $i] : join(X0,join(converse(complement(converse(X0))),complement(top))) = top,
inference(superposition,[status(thm)],[c_2345,c_375]) ).
tcf(c_9715,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_2345,c_50]) ).
tcf(c_9717,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(join(X0,X1)))))) = top,
inference(superposition,[status(thm)],[c_2345,c_50]) ).
tcf(c_9719,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(X0))))) = join(X1,top),
inference(superposition,[status(thm)],[c_2345,c_191]) ).
tcf(c_9720,plain,
! [X0: $i] : converse(join(X0,complement(converse(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_2345,c_56]) ).
tcf(c_9721,plain,
converse(complement(converse(zero))) = top,
inference(superposition,[status(thm)],[c_2345,c_1336]) ).
tcf(c_9725,plain,
! [X0: $i] : join(converse(X0),complement(converse(X0))) = converse(top),
inference(superposition,[status(thm)],[c_2345,c_222]) ).
tcf(c_9727,plain,
! [X0: $i] : join(X0,converse(converse(complement(converse(converse(X0)))))) = converse(top),
inference(superposition,[status(thm)],[c_2345,c_221]) ).
tcf(c_9728,plain,
join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_2345,c_392]) ).
tcf(c_9730,plain,
join(one,converse(converse(complement(converse(one))))) = converse(top),
inference(superposition,[status(thm)],[c_2345,c_1723]) ).
tcf(c_9731,plain,
join(iPr_def_11,converse(complement(converse(iPr_def_12)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2345,c_3214]) ).
tcf(c_9736,plain,
! [X0: $i] : join(converse(X0),complement(converse(X0))) = top,
inference(light_normalisation,[status(thm)],[c_9725,c_989,c_2343]) ).
tcf(c_9744,plain,
! [X0: $i] : join(X0,join(complement(top),converse(complement(converse(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_9714,c_50,c_49]) ).
tcf(c_9745,plain,
! [X0: $i] : join(X0,join(zero,converse(complement(converse(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_9744,c_107]) ).
tcf(c_9746,plain,
join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_9728,c_448,c_814]) ).
tcf(c_9747,plain,
! [X0: $i] : join(X0,join(one,converse(complement(join(one,converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_9711,c_50,c_49]) ).
tcf(c_9748,plain,
! [X0: $i] : join(one,join(X0,converse(complement(join(one,converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_9710,c_50,c_49]) ).
tcf(c_9749,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),converse(complement(join(converse(X0),X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_9704,c_50,c_49]) ).
tcf(c_9750,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(X1),converse(complement(join(X1,converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_9703,c_50,c_49]) ).
tcf(c_9751,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(join(X0,converse(X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_9702,c_50,c_49]) ).
tcf(c_9752,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(join(converse(X1),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_9701,c_50,c_49]) ).
tcf(c_9753,plain,
join(join(iPr_def_10,iPr_def_12),converse(complement(join(iPr_def_10,iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_3191,c_2345]) ).
tcf(c_9754,plain,
join(complement(one),composition(join(iPr_def_10,iPr_def_12),complement(join(iPr_def_10,iPr_def_12)))) = complement(one),
inference(superposition,[status(thm)],[c_3191,c_351]) ).
tcf(c_9755,plain,
composition(join(iPr_def_10,iPr_def_12),complement(composition(join(iPr_def_10,iPr_def_12),top))) = zero,
inference(superposition,[status(thm)],[c_3191,c_9546]) ).
tcf(c_9757,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9469]) ).
tcf(c_9758,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9430]) ).
tcf(c_9759,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9391]) ).
tcf(c_9760,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9352]) ).
tcf(c_9761,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9310]) ).
tcf(c_9762,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9270]) ).
tcf(c_9763,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9219]) ).
tcf(c_9764,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9177]) ).
tcf(c_9765,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8879]) ).
tcf(c_9766,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8837]) ).
tcf(c_9767,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8786]) ).
tcf(c_9768,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8755]) ).
tcf(c_9769,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8713]) ).
tcf(c_9770,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8676]) ).
tcf(c_9771,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8645]) ).
tcf(c_9772,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8604]) ).
tcf(c_9773,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8506]) ).
tcf(c_9774,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8475]) ).
tcf(c_9775,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8444]) ).
tcf(c_9776,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8413]) ).
tcf(c_9777,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8362]) ).
tcf(c_9778,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8321]) ).
tcf(c_9779,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8289]) ).
tcf(c_9780,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8078]) ).
tcf(c_9781,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_8044]) ).
tcf(c_9782,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_7975]) ).
tcf(c_9783,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_7925]) ).
tcf(c_9784,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_7793]) ).
tcf(c_9786,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_4671]) ).
tcf(c_9787,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_4025]) ).
tcf(c_9788,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_3971]) ).
tcf(c_9789,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_3941]) ).
tcf(c_9790,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_3911]) ).
tcf(c_9791,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_3472]) ).
tcf(c_9792,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_3225]) ).
tcf(c_9793,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_2992]) ).
tcf(c_9794,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_2788]) ).
tcf(c_9795,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_2576]) ).
tcf(c_9796,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_2552]) ).
tcf(c_9797,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_2528]) ).
tcf(c_9800,plain,
join(iPr_def_11,composition(join(iPr_def_10,iPr_def_12),complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3191,c_432]) ).
tcf(c_9803,plain,
! [X0: $i] : join(join(iPr_def_10,iPr_def_12),converse(X0)) = converse(join(join(iPr_def_10,iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_3191,c_56]) ).
tcf(c_9805,plain,
! [X0: $i] : composition(join(iPr_def_10,iPr_def_12),converse(X0)) = converse(composition(X0,join(iPr_def_10,iPr_def_12))),
inference(superposition,[status(thm)],[c_3191,c_225]) ).
tcf(c_9807,plain,
! [X0: $i] : join(complement(X0),composition(join(iPr_def_10,iPr_def_12),complement(composition(join(iPr_def_10,iPr_def_12),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_3191,c_76]) ).
tcf(c_9808,plain,
! [X0: $i] : composition(converse(X0),join(iPr_def_10,iPr_def_12)) = converse(composition(join(iPr_def_10,iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_3191,c_57]) ).
tcf(c_9809,plain,
! [X0: $i] : join(converse(X0),join(iPr_def_10,iPr_def_12)) = converse(join(X0,join(iPr_def_10,iPr_def_12))),
inference(superposition,[status(thm)],[c_3191,c_56]) ).
tcf(c_9810,plain,
join(iPr_def_10,join(iPr_def_12,converse(complement(join(iPr_def_10,iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_9753,c_50,c_49]) ).
tcf(c_9811,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,converse(X0))) = converse(join(X0,join(iPr_def_10,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_9809,c_50,c_49]) ).
tcf(c_9812,plain,
! [X0: $i] : composition(converse(X0),join(iPr_def_10,iPr_def_12)) = converse(composition(top,composition(top,X0))),
inference(light_normalisation,[status(thm)],[c_9808,c_556]) ).
tcf(c_9815,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,converse(X0))) = converse(join(iPr_def_10,join(iPr_def_12,X0))),
inference(theory_normalisation,[status(thm)],[c_9803,c_50,c_49]) ).
tcf(c_9818,plain,
! [X0: $i] : join(complement(X0),composition(join(iPr_def_10,iPr_def_12),complement(composition(top,composition(top,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_9807,c_556]) ).
tcf(c_9820,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9500,c_52,c_448,c_556]) ).
tcf(c_9821,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9820]) ).
tcf(c_9822,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9820]) ).
tcf(c_9823,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9820]) ).
tcf(c_9824,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9820]) ).
tcf(c_9825,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9820]) ).
tcf(c_9826,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9820]) ).
tcf(c_9827,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9820]) ).
tcf(c_9828,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9820]) ).
tcf(c_9829,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9820]) ).
tcf(c_9830,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9820]) ).
tcf(c_9831,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9820]) ).
tcf(c_9832,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9820]) ).
tcf(c_9833,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9820]) ).
tcf(c_9834,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9820]) ).
tcf(c_9835,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9820]) ).
tcf(c_9836,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9820]) ).
tcf(c_9837,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9820]) ).
tcf(c_9838,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9820]) ).
tcf(c_9839,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9820]) ).
tcf(c_9841,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9820,c_375]) ).
tcf(c_9842,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9820,c_50]) ).
tcf(c_9843,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9820,c_191]) ).
tcf(c_9845,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9820,c_392]) ).
tcf(c_9846,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9838,c_1431,c_1950]) ).
tcf(c_9847,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9837,c_1671,c_1689]) ).
tcf(c_9848,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9836,c_1431]) ).
tcf(c_9849,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9839,c_1431]) ).
tcf(c_9850,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9841,c_50,c_49]) ).
tcf(c_9851,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9850,c_192]) ).
tcf(c_9852,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9845,c_193]) ).
tcf(c_9854,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9852,c_52,c_448,c_556]) ).
tcf(c_9855,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9854]) ).
tcf(c_9856,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9854]) ).
tcf(c_9857,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9854]) ).
tcf(c_9858,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9854]) ).
tcf(c_9859,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9854]) ).
tcf(c_9860,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9854]) ).
tcf(c_9861,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9854]) ).
tcf(c_9862,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9854]) ).
tcf(c_9863,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9854]) ).
tcf(c_9864,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9854]) ).
tcf(c_9865,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9854]) ).
tcf(c_9866,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9854]) ).
tcf(c_9867,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9854]) ).
tcf(c_9868,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9854]) ).
tcf(c_9869,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9854]) ).
tcf(c_9870,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9854]) ).
tcf(c_9871,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9854]) ).
tcf(c_9872,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9854]) ).
tcf(c_9873,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9854]) ).
tcf(c_9875,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9854,c_375]) ).
tcf(c_9876,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9854,c_50]) ).
tcf(c_9877,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9854,c_191]) ).
tcf(c_9879,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9854,c_392]) ).
tcf(c_9880,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9872,c_1431,c_1950]) ).
tcf(c_9881,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9871,c_1671,c_1689]) ).
tcf(c_9882,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9870,c_1431]) ).
tcf(c_9883,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9873,c_1431]) ).
tcf(c_9884,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9875,c_50,c_49]) ).
tcf(c_9885,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9884,c_192]) ).
tcf(c_9886,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9879,c_193]) ).
tcf(c_9894,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9886,c_52,c_448,c_556]) ).
tcf(c_9895,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9894]) ).
tcf(c_9896,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9894]) ).
tcf(c_9897,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9894]) ).
tcf(c_9898,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9894]) ).
tcf(c_9899,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9894]) ).
tcf(c_9900,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9894]) ).
tcf(c_9901,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9894]) ).
tcf(c_9902,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9894]) ).
tcf(c_9903,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9894]) ).
tcf(c_9904,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9894]) ).
tcf(c_9905,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9894]) ).
tcf(c_9906,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9894]) ).
tcf(c_9907,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9894]) ).
tcf(c_9908,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9894]) ).
tcf(c_9909,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9894]) ).
tcf(c_9910,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9894]) ).
tcf(c_9911,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9894]) ).
tcf(c_9912,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9894]) ).
tcf(c_9913,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9894]) ).
tcf(c_9915,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9894,c_375]) ).
tcf(c_9916,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9894,c_50]) ).
tcf(c_9917,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9894,c_191]) ).
tcf(c_9919,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9894,c_392]) ).
tcf(c_9920,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9912,c_1431,c_1950]) ).
tcf(c_9921,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9911,c_1671,c_1689]) ).
tcf(c_9922,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9910,c_1431]) ).
tcf(c_9923,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9913,c_1431]) ).
tcf(c_9924,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9915,c_50,c_49]) ).
tcf(c_9925,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9924,c_192]) ).
tcf(c_9926,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9919,c_193]) ).
tcf(c_9934,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9926,c_52,c_448,c_556]) ).
tcf(c_9935,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9934]) ).
tcf(c_9936,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9934]) ).
tcf(c_9937,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9934]) ).
tcf(c_9938,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9934]) ).
tcf(c_9939,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9934]) ).
tcf(c_9940,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9934]) ).
tcf(c_9941,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9934]) ).
tcf(c_9942,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9934]) ).
tcf(c_9943,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9934]) ).
tcf(c_9944,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9934]) ).
tcf(c_9945,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9934]) ).
tcf(c_9946,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9934]) ).
tcf(c_9947,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9934]) ).
tcf(c_9948,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9934]) ).
tcf(c_9949,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9934]) ).
tcf(c_9950,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9934]) ).
tcf(c_9951,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9934]) ).
tcf(c_9952,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9934]) ).
tcf(c_9953,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9934]) ).
tcf(c_9955,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9934,c_375]) ).
tcf(c_9956,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9934,c_50]) ).
tcf(c_9957,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9934,c_191]) ).
tcf(c_9959,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9934,c_392]) ).
tcf(c_9960,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9952,c_1431,c_1950]) ).
tcf(c_9961,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9951,c_1671,c_1689]) ).
tcf(c_9962,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9950,c_1431]) ).
tcf(c_9963,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9953,c_1431]) ).
tcf(c_9964,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9955,c_50,c_49]) ).
tcf(c_9965,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9964,c_192]) ).
tcf(c_9966,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9959,c_193]) ).
tcf(c_9968,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9966,c_52,c_448,c_556]) ).
tcf(c_9969,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_9968]) ).
tcf(c_9970,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_9968]) ).
tcf(c_9971,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_9968]) ).
tcf(c_9972,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_9968]) ).
tcf(c_9973,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_9968]) ).
tcf(c_9974,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_9968]) ).
tcf(c_9975,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_9968]) ).
tcf(c_9976,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_9968]) ).
tcf(c_9977,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_9968]) ).
tcf(c_9978,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_9968]) ).
tcf(c_9979,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_9968]) ).
tcf(c_9980,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_9968]) ).
tcf(c_9981,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_9968]) ).
tcf(c_9982,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_9968]) ).
tcf(c_9983,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_9968]) ).
tcf(c_9984,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_9968]) ).
tcf(c_9985,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_9968]) ).
tcf(c_9986,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_9968]) ).
tcf(c_9987,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_9968]) ).
tcf(c_9989,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_9968,c_375]) ).
tcf(c_9990,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9968,c_50]) ).
tcf(c_9991,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9968,c_191]) ).
tcf(c_9993,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9968,c_392]) ).
tcf(c_9994,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9986,c_1431,c_1950]) ).
tcf(c_9995,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9985,c_1671,c_1689]) ).
tcf(c_9996,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9984,c_1431]) ).
tcf(c_9997,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9987,c_1431]) ).
tcf(c_9998,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_9989,c_50,c_49]) ).
tcf(c_9999,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_9998,c_192]) ).
tcf(c_10000,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9993,c_193]) ).
tcf(c_10008,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10000,c_52,c_448,c_556]) ).
tcf(c_10009,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10008]) ).
tcf(c_10010,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10008]) ).
tcf(c_10011,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10008]) ).
tcf(c_10012,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10008]) ).
tcf(c_10013,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10008]) ).
tcf(c_10014,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10008]) ).
tcf(c_10015,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10008]) ).
tcf(c_10016,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10008]) ).
tcf(c_10017,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10008]) ).
tcf(c_10018,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10008]) ).
tcf(c_10019,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10008]) ).
tcf(c_10020,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10008]) ).
tcf(c_10021,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10008]) ).
tcf(c_10022,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10008]) ).
tcf(c_10023,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10008]) ).
tcf(c_10024,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10008]) ).
tcf(c_10025,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10008]) ).
tcf(c_10026,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10008]) ).
tcf(c_10027,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10008]) ).
tcf(c_10029,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10008,c_375]) ).
tcf(c_10030,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10008,c_50]) ).
tcf(c_10031,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10008,c_191]) ).
tcf(c_10033,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10008,c_392]) ).
tcf(c_10034,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10026,c_1431,c_1950]) ).
tcf(c_10035,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10025,c_1671,c_1689]) ).
tcf(c_10036,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10024,c_1431]) ).
tcf(c_10037,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10027,c_1431]) ).
tcf(c_10038,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10029,c_50,c_49]) ).
tcf(c_10039,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10038,c_192]) ).
tcf(c_10040,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10033,c_193]) ).
tcf(c_10060,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10040,c_52,c_448,c_556]) ).
tcf(c_10061,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10060]) ).
tcf(c_10062,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10060]) ).
tcf(c_10063,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10060]) ).
tcf(c_10064,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10060]) ).
tcf(c_10065,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10060]) ).
tcf(c_10066,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10060]) ).
tcf(c_10067,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10060]) ).
tcf(c_10068,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10060]) ).
tcf(c_10069,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10060]) ).
tcf(c_10070,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10060]) ).
tcf(c_10071,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10060]) ).
tcf(c_10072,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10060]) ).
tcf(c_10073,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10060]) ).
tcf(c_10074,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10060]) ).
tcf(c_10075,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10060]) ).
tcf(c_10076,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10060]) ).
tcf(c_10077,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10060]) ).
tcf(c_10078,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10060]) ).
tcf(c_10079,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10060]) ).
tcf(c_10081,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10060,c_375]) ).
tcf(c_10082,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10060,c_50]) ).
tcf(c_10083,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10060,c_191]) ).
tcf(c_10085,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10060,c_392]) ).
tcf(c_10086,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10078,c_1431,c_1950]) ).
tcf(c_10087,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10077,c_1671,c_1689]) ).
tcf(c_10088,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10076,c_1431]) ).
tcf(c_10089,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10079,c_1431]) ).
tcf(c_10090,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10081,c_50,c_49]) ).
tcf(c_10091,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10090,c_192]) ).
tcf(c_10092,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10085,c_193]) ).
tcf(c_10094,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10092,c_52,c_448,c_556]) ).
tcf(c_10095,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10094]) ).
tcf(c_10096,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10094]) ).
tcf(c_10097,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10094]) ).
tcf(c_10098,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10094]) ).
tcf(c_10099,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10094]) ).
tcf(c_10100,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10094]) ).
tcf(c_10101,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10094]) ).
tcf(c_10102,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10094]) ).
tcf(c_10103,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10094]) ).
tcf(c_10104,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10094]) ).
tcf(c_10105,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10094]) ).
tcf(c_10106,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10094]) ).
tcf(c_10107,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10094]) ).
tcf(c_10108,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10094]) ).
tcf(c_10109,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10094]) ).
tcf(c_10110,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10094]) ).
tcf(c_10111,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10094]) ).
tcf(c_10112,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10094]) ).
tcf(c_10113,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10094]) ).
tcf(c_10115,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10094,c_375]) ).
tcf(c_10116,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10094,c_50]) ).
tcf(c_10117,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10094,c_191]) ).
tcf(c_10119,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10094,c_392]) ).
tcf(c_10120,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10112,c_1431,c_1950]) ).
tcf(c_10121,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10111,c_1671,c_1689]) ).
tcf(c_10122,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10110,c_1431]) ).
tcf(c_10123,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10113,c_1431]) ).
tcf(c_10124,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10115,c_50,c_49]) ).
tcf(c_10125,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10124,c_192]) ).
tcf(c_10126,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10119,c_193]) ).
tcf(c_10178,plain,
join(iPr_def_12,composition(complement(iPr_def_11),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_59,c_391]) ).
tcf(c_10179,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,X1),top)) = composition(join(X0,join(iPr_def_11,X1)),top),
inference(superposition,[status(thm)],[c_191,c_391]) ).
tcf(c_10180,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(X0),complement(composition(X0,iPr_def_10))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_349,c_391]) ).
tcf(c_10181,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(join(iPr_def_11,X0))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_375,c_391]) ).
tcf(c_10182,plain,
! [X0: $i] : join(iPr_def_12,composition(join(complement(iPr_def_11),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7124,c_391]) ).
tcf(c_10183,plain,
join(iPr_def_12,composition(top,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7015,c_391]) ).
tcf(c_10184,plain,
join(iPr_def_12,composition(zero,top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_1429,c_391]) ).
tcf(c_10185,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(X0,complement(composition(converse(X0),iPr_def_10))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_432,c_391]) ).
tcf(c_10186,plain,
join(iPr_def_12,composition(converse(complement(converse(iPr_def_11))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_2345,c_391]) ).
tcf(c_10187,plain,
join(iPr_def_12,composition(iPr_def_11,top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7769,c_391]) ).
tcf(c_10188,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top)) = composition(join(iPr_def_11,complement(X0)),top),
inference(superposition,[status(thm)],[c_1888,c_391]) ).
tcf(c_10189,plain,
join(iPr_def_12,composition(iPr_def_12,top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_3207,c_391]) ).
tcf(c_10190,plain,
! [X0: $i] : join(iPr_def_12,composition(join(iPr_def_12,X0),top)) = composition(join(iPr_def_11,X0),top),
inference(superposition,[status(thm)],[c_3214,c_391]) ).
tcf(c_10191,plain,
join(iPr_def_12,composition(complement(iPr_def_12),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_4192,c_391]) ).
tcf(c_10192,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,iPr_def_12),top)) = composition(join(iPr_def_11,X0),top),
inference(superposition,[status(thm)],[c_4183,c_391]) ).
tcf(c_10193,plain,
join(iPr_def_12,composition(composition(iPr_def_12,top),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7724,c_391]) ).
tcf(c_10194,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_7878,c_391]) ).
tcf(c_10195,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))))),top)) = composition(join(iPr_def_11,complement(join(X0,iPr_def_11))),top),
inference(superposition,[status(thm)],[c_8004,c_391]) ).
tcf(c_10196,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_12,composition(X0,top)),composition(X1,top)) = composition(join(join(iPr_def_11,X0),X1),top),
inference(superposition,[status(thm)],[c_391,c_54]) ).
tcf(c_10197,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,composition(X0,top)),X1) = composition(join(iPr_def_11,X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_391,c_52]) ).
tcf(c_10198,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(iPr_def_12,composition(X1,top))) = composition(join(X0,join(iPr_def_11,X1)),top),
inference(superposition,[status(thm)],[c_391,c_54]) ).
tcf(c_10199,plain,
! [X0: $i] : join(complement(top),composition(converse(join(iPr_def_11,X0)),complement(join(iPr_def_12,composition(X0,top))))) = complement(top),
inference(superposition,[status(thm)],[c_391,c_76]) ).
tcf(c_10200,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,X0)),complement(join(iPr_def_12,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_391,c_9545]) ).
tcf(c_10201,plain,
join(iPr_def_10,composition(iPr_def_11,top)) = join(iPr_def_12,composition(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_391,c_401]) ).
tcf(c_10202,plain,
join(iPr_def_12,composition(iPr_def_12,top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10189,c_116]) ).
tcf(c_10203,plain,
join(iPr_def_12,iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10187,c_116]) ).
tcf(c_10204,plain,
join(iPr_def_12,composition(zero,top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10184,c_116]) ).
tcf(c_10205,plain,
join(iPr_def_12,join(iPr_def_10,iPr_def_12)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10183,c_448]) ).
tcf(c_10206,plain,
join(iPr_def_10,join(iPr_def_12,iPr_def_12)) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_10205,c_50,c_49]) ).
tcf(c_10207,plain,
join(iPr_def_12,composition(complement(iPr_def_12),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10191,c_448]) ).
tcf(c_10208,plain,
join(iPr_def_10,iPr_def_12) = join(iPr_def_12,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_10178,c_193,c_448,c_1671]) ).
tcf(c_10210,plain,
join(iPr_def_12,composition(composition(iPr_def_12,top),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10193,c_116]) ).
tcf(c_10211,plain,
join(iPr_def_12,composition(converse(complement(converse(iPr_def_11))),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10186,c_448]) ).
tcf(c_10212,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_10,composition(X0,top))) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10182,c_392,c_448,c_1671]) ).
tcf(c_10213,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(X0,top))) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_10212,c_50,c_49]) ).
tcf(c_10214,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_12,composition(X0,top))) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_10194,c_391]) ).
tcf(c_10215,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,iPr_def_12),top)) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_10192,c_391]) ).
tcf(c_10216,plain,
! [X0: $i] : join(iPr_def_12,composition(join(iPr_def_12,X0),top)) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_10190,c_391]) ).
tcf(c_10217,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(join(iPr_def_11,X0))),top)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10181,c_448]) ).
tcf(c_10218,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(X0,complement(composition(converse(X0),iPr_def_10))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10185,c_116]) ).
tcf(c_10219,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(X0),complement(composition(X0,iPr_def_10))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10180,c_116]) ).
tcf(c_10220,plain,
! [X0: $i] : join(zero,composition(converse(join(iPr_def_11,X0)),complement(join(iPr_def_12,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_10199,c_107]) ).
tcf(c_10221,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = composition(join(X0,join(iPr_def_11,X1)),top),
inference(theory_normalisation,[status(thm)],[c_10198,c_50,c_49]) ).
tcf(c_10222,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = composition(join(iPr_def_11,join(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_10196,c_50,c_49]) ).
tcf(c_10227,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,X1),top)) = composition(join(X0,join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_50,c_402]) ).
tcf(c_10229,plain,
join(iPr_def_12,composition(iPr_def_10,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_209,c_402]) ).
tcf(c_10232,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_12,composition(X0,top)),composition(X1,top)) = composition(join(join(X0,iPr_def_11),X1),top),
inference(superposition,[status(thm)],[c_402,c_54]) ).
tcf(c_10233,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,composition(X0,top)),X1) = composition(join(X0,iPr_def_11),composition(top,X1)),
inference(superposition,[status(thm)],[c_402,c_52]) ).
tcf(c_10234,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(iPr_def_12,composition(X1,top))) = composition(join(X0,join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_402,c_54]) ).
tcf(c_10235,plain,
! [X0: $i] : join(complement(top),composition(converse(join(X0,iPr_def_11)),complement(join(iPr_def_12,composition(X0,top))))) = complement(top),
inference(superposition,[status(thm)],[c_402,c_76]) ).
tcf(c_10236,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),complement(join(iPr_def_12,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_402,c_9545]) ).
tcf(c_10239,plain,
! [X0: $i] : join(zero,composition(converse(join(X0,iPr_def_11)),complement(join(iPr_def_12,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_10235,c_107]) ).
tcf(c_10240,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = composition(join(X0,join(X1,iPr_def_11)),top),
inference(theory_normalisation,[status(thm)],[c_10234,c_50,c_49]) ).
tcf(c_10241,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = composition(join(X0,join(iPr_def_11,X1)),top),
inference(theory_normalisation,[status(thm)],[c_10232,c_50,c_49]) ).
tcf(c_10242,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = join(iPr_def_12,composition(join(X0,X1),top)),
inference(light_normalisation,[status(thm)],[c_10241,c_10179]) ).
tcf(c_10244,plain,
join(iPr_def_12,join(composition(iPr_def_12,top),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_10202,c_375]) ).
tcf(c_10245,plain,
! [X0: $i] : join(iPr_def_12,join(composition(iPr_def_12,top),X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_10202,c_50]) ).
tcf(c_10246,plain,
! [X0: $i] : join(iPr_def_12,join(X0,composition(iPr_def_12,top))) = join(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_10202,c_191]) ).
tcf(c_10248,plain,
join(iPr_def_11,composition(iPr_def_12,top)) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_10202,c_3214]) ).
tcf(c_10250,plain,
join(iPr_def_12,join(complement(iPr_def_12),composition(iPr_def_12,top))) = top,
inference(theory_normalisation,[status(thm)],[c_10244,c_50,c_49]) ).
tcf(c_10253,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10126,c_52,c_448,c_556]) ).
tcf(c_10254,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10253]) ).
tcf(c_10255,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10253]) ).
tcf(c_10256,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10253]) ).
tcf(c_10257,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10253]) ).
tcf(c_10258,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10253]) ).
tcf(c_10259,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10253]) ).
tcf(c_10260,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10253]) ).
tcf(c_10261,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10253]) ).
tcf(c_10262,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10253]) ).
tcf(c_10263,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10253]) ).
tcf(c_10264,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10253]) ).
tcf(c_10265,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10253]) ).
tcf(c_10266,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10253]) ).
tcf(c_10267,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10253]) ).
tcf(c_10268,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10253]) ).
tcf(c_10269,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10253]) ).
tcf(c_10270,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10253]) ).
tcf(c_10271,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10253]) ).
tcf(c_10272,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10253]) ).
tcf(c_10274,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10253,c_375]) ).
tcf(c_10275,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10253,c_50]) ).
tcf(c_10276,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10253,c_191]) ).
tcf(c_10278,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10253,c_392]) ).
tcf(c_10279,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10271,c_1431,c_1950]) ).
tcf(c_10280,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10270,c_1671,c_1689]) ).
tcf(c_10281,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10269,c_1431]) ).
tcf(c_10282,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10272,c_1431]) ).
tcf(c_10283,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10274,c_50,c_49]) ).
tcf(c_10284,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10283,c_192]) ).
tcf(c_10285,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10278,c_193]) ).
tcf(c_10287,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10285,c_52,c_448,c_556]) ).
tcf(c_10288,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10287]) ).
tcf(c_10289,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10287]) ).
tcf(c_10290,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10287]) ).
tcf(c_10291,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10287]) ).
tcf(c_10292,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10287]) ).
tcf(c_10293,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10287]) ).
tcf(c_10294,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10287]) ).
tcf(c_10295,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10287]) ).
tcf(c_10296,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10287]) ).
tcf(c_10297,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10287]) ).
tcf(c_10298,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10287]) ).
tcf(c_10299,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10287]) ).
tcf(c_10300,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10287]) ).
tcf(c_10301,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10287]) ).
tcf(c_10302,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10287]) ).
tcf(c_10303,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10287]) ).
tcf(c_10304,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10287]) ).
tcf(c_10305,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10287]) ).
tcf(c_10306,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10287]) ).
tcf(c_10308,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10287,c_375]) ).
tcf(c_10309,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10287,c_50]) ).
tcf(c_10310,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10287,c_191]) ).
tcf(c_10312,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10287,c_392]) ).
tcf(c_10313,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10305,c_1431,c_1950]) ).
tcf(c_10314,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10304,c_1671,c_1689]) ).
tcf(c_10315,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10303,c_1431]) ).
tcf(c_10316,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10306,c_1431]) ).
tcf(c_10317,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10308,c_50,c_49]) ).
tcf(c_10318,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10317,c_192]) ).
tcf(c_10319,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10312,c_193]) ).
tcf(c_10321,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10319,c_52,c_448,c_556]) ).
tcf(c_10322,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10321]) ).
tcf(c_10323,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10321]) ).
tcf(c_10324,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10321]) ).
tcf(c_10325,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10321]) ).
tcf(c_10326,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10321]) ).
tcf(c_10327,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10321]) ).
tcf(c_10328,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10321]) ).
tcf(c_10329,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10321]) ).
tcf(c_10330,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10321]) ).
tcf(c_10331,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10321]) ).
tcf(c_10332,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10321]) ).
tcf(c_10333,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10321]) ).
tcf(c_10334,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10321]) ).
tcf(c_10335,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10321]) ).
tcf(c_10336,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10321]) ).
tcf(c_10337,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10321]) ).
tcf(c_10338,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10321]) ).
tcf(c_10339,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10321]) ).
tcf(c_10340,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10321]) ).
tcf(c_10342,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10321,c_375]) ).
tcf(c_10343,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10321,c_50]) ).
tcf(c_10344,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10321,c_191]) ).
tcf(c_10346,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10321,c_392]) ).
tcf(c_10347,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10339,c_1431,c_1950]) ).
tcf(c_10348,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10338,c_1671,c_1689]) ).
tcf(c_10349,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10337,c_1431]) ).
tcf(c_10350,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10340,c_1431]) ).
tcf(c_10351,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10342,c_50,c_49]) ).
tcf(c_10352,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10351,c_192]) ).
tcf(c_10353,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10346,c_193]) ).
tcf(c_10355,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10353,c_52,c_448,c_556]) ).
tcf(c_10356,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10355]) ).
tcf(c_10357,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10355]) ).
tcf(c_10358,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10355]) ).
tcf(c_10359,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10355]) ).
tcf(c_10360,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10355]) ).
tcf(c_10361,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10355]) ).
tcf(c_10362,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10355]) ).
tcf(c_10363,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10355]) ).
tcf(c_10364,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10355]) ).
tcf(c_10365,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10355]) ).
tcf(c_10366,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10355]) ).
tcf(c_10367,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10355]) ).
tcf(c_10368,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10355]) ).
tcf(c_10369,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10355]) ).
tcf(c_10370,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10355]) ).
tcf(c_10371,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10355]) ).
tcf(c_10372,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10355]) ).
tcf(c_10373,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10355]) ).
tcf(c_10374,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10355]) ).
tcf(c_10376,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10355,c_375]) ).
tcf(c_10377,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10355,c_50]) ).
tcf(c_10378,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10355,c_191]) ).
tcf(c_10380,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10355,c_392]) ).
tcf(c_10381,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10373,c_1431,c_1950]) ).
tcf(c_10382,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10372,c_1671,c_1689]) ).
tcf(c_10383,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10371,c_1431]) ).
tcf(c_10384,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10374,c_1431]) ).
tcf(c_10385,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10376,c_50,c_49]) ).
tcf(c_10386,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10385,c_192]) ).
tcf(c_10387,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10380,c_193]) ).
tcf(c_10395,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10387,c_52,c_448,c_556]) ).
tcf(c_10396,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10395]) ).
tcf(c_10397,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10395]) ).
tcf(c_10398,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10395]) ).
tcf(c_10399,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10395]) ).
tcf(c_10400,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10395]) ).
tcf(c_10401,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10395]) ).
tcf(c_10402,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10395]) ).
tcf(c_10403,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10395]) ).
tcf(c_10404,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10395]) ).
tcf(c_10405,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10395]) ).
tcf(c_10406,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10395]) ).
tcf(c_10407,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10395]) ).
tcf(c_10408,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10395]) ).
tcf(c_10409,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10395]) ).
tcf(c_10410,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10395]) ).
tcf(c_10411,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10395]) ).
tcf(c_10412,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10395]) ).
tcf(c_10413,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10395]) ).
tcf(c_10414,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10395]) ).
tcf(c_10416,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10395,c_375]) ).
tcf(c_10417,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10395,c_50]) ).
tcf(c_10418,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10395,c_191]) ).
tcf(c_10420,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10395,c_392]) ).
tcf(c_10421,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10413,c_1431,c_1950]) ).
tcf(c_10422,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10412,c_1671,c_1689]) ).
tcf(c_10423,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10411,c_1431]) ).
tcf(c_10424,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10414,c_1431]) ).
tcf(c_10425,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10416,c_50,c_49]) ).
tcf(c_10426,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10425,c_192]) ).
tcf(c_10427,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10420,c_193]) ).
tcf(c_10435,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10427,c_52,c_448,c_556]) ).
tcf(c_10436,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10435]) ).
tcf(c_10437,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10435]) ).
tcf(c_10438,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10435]) ).
tcf(c_10439,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10435]) ).
tcf(c_10440,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10435]) ).
tcf(c_10441,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10435]) ).
tcf(c_10442,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10435]) ).
tcf(c_10443,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10435]) ).
tcf(c_10444,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10435]) ).
tcf(c_10445,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10435]) ).
tcf(c_10446,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10435]) ).
tcf(c_10447,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10435]) ).
tcf(c_10448,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10435]) ).
tcf(c_10449,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10435]) ).
tcf(c_10450,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10435]) ).
tcf(c_10451,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10435]) ).
tcf(c_10452,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10435]) ).
tcf(c_10453,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10435]) ).
tcf(c_10454,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10435]) ).
tcf(c_10456,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10435,c_375]) ).
tcf(c_10457,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10435,c_50]) ).
tcf(c_10458,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10435,c_191]) ).
tcf(c_10460,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10435,c_392]) ).
tcf(c_10461,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10453,c_1431,c_1950]) ).
tcf(c_10462,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10452,c_1671,c_1689]) ).
tcf(c_10463,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10451,c_1431]) ).
tcf(c_10464,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10454,c_1431]) ).
tcf(c_10465,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10456,c_50,c_49]) ).
tcf(c_10466,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10465,c_192]) ).
tcf(c_10467,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10460,c_193]) ).
tcf(c_10475,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10467,c_52,c_448,c_556]) ).
tcf(c_10476,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10475]) ).
tcf(c_10477,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10475]) ).
tcf(c_10478,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10475]) ).
tcf(c_10479,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10475]) ).
tcf(c_10480,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10475]) ).
tcf(c_10481,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10475]) ).
tcf(c_10482,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10475]) ).
tcf(c_10483,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10475]) ).
tcf(c_10484,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10475]) ).
tcf(c_10485,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10475]) ).
tcf(c_10486,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10475]) ).
tcf(c_10487,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10475]) ).
tcf(c_10488,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10475]) ).
tcf(c_10489,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10475]) ).
tcf(c_10490,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10475]) ).
tcf(c_10491,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10475]) ).
tcf(c_10492,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10475]) ).
tcf(c_10493,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10475]) ).
tcf(c_10494,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10475]) ).
tcf(c_10496,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10475,c_375]) ).
tcf(c_10497,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10475,c_50]) ).
tcf(c_10498,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10475,c_191]) ).
tcf(c_10500,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10475,c_392]) ).
tcf(c_10501,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10493,c_1431,c_1950]) ).
tcf(c_10502,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10492,c_1671,c_1689]) ).
tcf(c_10503,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10491,c_1431]) ).
tcf(c_10504,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10494,c_1431]) ).
tcf(c_10505,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10496,c_50,c_49]) ).
tcf(c_10506,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10505,c_192]) ).
tcf(c_10507,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10500,c_193]) ).
tcf(c_10512,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10507,c_52,c_448,c_556]) ).
tcf(c_10513,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10512]) ).
tcf(c_10514,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10512]) ).
tcf(c_10515,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10512]) ).
tcf(c_10516,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10512]) ).
tcf(c_10517,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10512]) ).
tcf(c_10518,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10512]) ).
tcf(c_10519,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10512]) ).
tcf(c_10520,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10512]) ).
tcf(c_10521,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10512]) ).
tcf(c_10522,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10512]) ).
tcf(c_10523,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10512]) ).
tcf(c_10524,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10512]) ).
tcf(c_10525,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10512]) ).
tcf(c_10526,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10512]) ).
tcf(c_10527,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10512]) ).
tcf(c_10528,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10512]) ).
tcf(c_10529,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10512]) ).
tcf(c_10530,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10512]) ).
tcf(c_10531,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10512]) ).
tcf(c_10533,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10512,c_375]) ).
tcf(c_10534,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10512,c_50]) ).
tcf(c_10535,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10512,c_191]) ).
tcf(c_10537,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10512,c_392]) ).
tcf(c_10538,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10530,c_1431,c_1950]) ).
tcf(c_10539,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10529,c_1671,c_1689]) ).
tcf(c_10540,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10528,c_1431]) ).
tcf(c_10541,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10531,c_1431]) ).
tcf(c_10542,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10533,c_50,c_49]) ).
tcf(c_10543,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10542,c_192]) ).
tcf(c_10544,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10537,c_193]) ).
tcf(c_10560,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = join(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_287,c_49,c_191,c_6405,c_7732,c_7879,c_7878,c_8195]) ).
tcf(c_10561,plain,
join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11))))) = join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11)))),
inference(superposition,[status(thm)],[c_1888,c_10560]) ).
tcf(c_10562,plain,
join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11)))))) = join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))),
inference(superposition,[status(thm)],[c_8004,c_10560]) ).
tcf(c_10563,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_10560]) ).
tcf(c_10567,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X1)))))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_191,c_10560]) ).
tcf(c_10579,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(top)))) = top,
inference(superposition,[status(thm)],[c_4192,c_10560]) ).
tcf(c_10581,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7724,c_10560]) ).
tcf(c_10585,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_10560,c_375]) ).
tcf(c_10586,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_10560,c_50]) ).
tcf(c_10587,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(iPr_def_11,X1)))))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_10560,c_191]) ).
tcf(c_10589,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),top)) = composition(join(iPr_def_11,X0),top),
inference(superposition,[status(thm)],[c_10560,c_391]) ).
tcf(c_10592,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_10560,c_1888]) ).
tcf(c_10595,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_11,X0),join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_10560,c_1888]) ).
tcf(c_10602,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_10585,c_50,c_49]) ).
tcf(c_10605,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_10595,c_50,c_49]) ).
tcf(c_10606,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),top)) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_10589,c_391]) ).
tcf(c_10607,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_10586,c_50,c_49]) ).
tcf(c_10608,plain,
join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))) = join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_10561,c_1671]) ).
tcf(c_10609,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_10592,c_50,c_49]) ).
tcf(c_10610,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0)))))))) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_10609,c_6405]) ).
tcf(c_10611,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(demodulation,[status(thm)],[c_8004,c_10563]) ).
tcf(c_10617,plain,
! [X0: $i,X1: $i] : join(composition(top,composition(top,X0)),composition(X1,X0)) = composition(join(join(iPr_def_10,iPr_def_12),X1),X0),
inference(superposition,[status(thm)],[c_556,c_54]) ).
tcf(c_10618,plain,
! [X0: $i,X1: $i] : composition(composition(top,composition(top,X0)),X1) = composition(join(iPr_def_10,iPr_def_12),composition(X0,X1)),
inference(superposition,[status(thm)],[c_556,c_52]) ).
tcf(c_10619,plain,
composition(top,composition(top,one)) = join(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_556,c_53]) ).
tcf(c_10620,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(top,composition(top,X1))) = composition(join(X0,join(iPr_def_10,iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_556,c_54]) ).
tcf(c_10621,plain,
! [X0: $i] : join(complement(X0),composition(converse(join(iPr_def_10,iPr_def_12)),complement(composition(top,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_556,c_76]) ).
tcf(c_10622,plain,
! [X0: $i] : converse(composition(top,composition(top,converse(X0)))) = composition(X0,converse(join(iPr_def_10,iPr_def_12))),
inference(superposition,[status(thm)],[c_556,c_225]) ).
tcf(c_10623,plain,
composition(converse(join(iPr_def_10,iPr_def_12)),complement(composition(top,composition(top,top)))) = zero,
inference(superposition,[status(thm)],[c_556,c_9545]) ).
tcf(c_10624,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,iPr_def_12)),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_556,c_349]) ).
tcf(c_10625,plain,
join(iPr_def_10,composition(iPr_def_12,top)) = composition(top,composition(top,top)),
inference(superposition,[status(thm)],[c_556,c_392]) ).
tcf(c_10626,plain,
join(iPr_def_11,composition(top,composition(top,complement(composition(converse(join(iPr_def_10,iPr_def_12)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_556,c_432]) ).
tcf(c_10627,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10512]) ).
tcf(c_10628,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10475]) ).
tcf(c_10629,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10435]) ).
tcf(c_10630,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10395]) ).
tcf(c_10631,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10355]) ).
tcf(c_10632,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10321]) ).
tcf(c_10633,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10287]) ).
tcf(c_10634,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10253]) ).
tcf(c_10635,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10094]) ).
tcf(c_10636,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10060]) ).
tcf(c_10637,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10008]) ).
tcf(c_10638,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9968]) ).
tcf(c_10639,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9934]) ).
tcf(c_10640,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9894]) ).
tcf(c_10641,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9854]) ).
tcf(c_10642,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9820]) ).
tcf(c_10643,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9469]) ).
tcf(c_10644,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9430]) ).
tcf(c_10645,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9391]) ).
tcf(c_10646,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9352]) ).
tcf(c_10647,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9310]) ).
tcf(c_10648,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9270]) ).
tcf(c_10649,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9219]) ).
tcf(c_10650,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_9177]) ).
tcf(c_10651,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8879]) ).
tcf(c_10652,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8837]) ).
tcf(c_10653,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8786]) ).
tcf(c_10654,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8755]) ).
tcf(c_10655,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8713]) ).
tcf(c_10656,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8676]) ).
tcf(c_10657,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8645]) ).
tcf(c_10658,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8604]) ).
tcf(c_10659,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8506]) ).
tcf(c_10660,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8475]) ).
tcf(c_10661,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8444]) ).
tcf(c_10662,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8413]) ).
tcf(c_10663,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8362]) ).
tcf(c_10664,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8321]) ).
tcf(c_10665,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8289]) ).
tcf(c_10666,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8078]) ).
tcf(c_10667,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_8044]) ).
tcf(c_10668,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_7975]) ).
tcf(c_10669,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_7925]) ).
tcf(c_10670,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_7793]) ).
tcf(c_10671,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_4671]) ).
tcf(c_10672,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_4025]) ).
tcf(c_10673,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_3971]) ).
tcf(c_10674,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_3941]) ).
tcf(c_10675,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_3911]) ).
tcf(c_10676,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_3472]) ).
tcf(c_10677,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_3225]) ).
tcf(c_10678,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_2992]) ).
tcf(c_10679,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_2788]) ).
tcf(c_10680,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_2576]) ).
tcf(c_10681,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_2552]) ).
tcf(c_10682,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_2528]) ).
tcf(c_10683,plain,
composition(top,composition(top,zero)) = zero,
inference(superposition,[status(thm)],[c_556,c_8201]) ).
tcf(c_10684,plain,
composition(top,composition(top,complement(composition(converse(join(iPr_def_10,iPr_def_12)),top)))) = zero,
inference(superposition,[status(thm)],[c_556,c_9546]) ).
tcf(c_10685,plain,
join(iPr_def_10,composition(iPr_def_12,top)) = composition(top,join(iPr_def_10,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_10625,c_448]) ).
tcf(c_10686,plain,
composition(top,composition(top,complement(composition(join(iPr_def_10,iPr_def_12),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_10684,c_3191]) ).
tcf(c_10687,plain,
composition(join(iPr_def_10,iPr_def_12),complement(composition(top,join(iPr_def_10,iPr_def_12)))) = zero,
inference(light_normalisation,[status(thm)],[c_10623,c_448,c_3191]) ).
tcf(c_10688,plain,
! [X0: $i] : converse(composition(top,composition(top,converse(X0)))) = composition(X0,join(iPr_def_10,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_10622,c_3191]) ).
tcf(c_10689,plain,
join(iPr_def_11,composition(top,composition(top,complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_10626,c_3191]) ).
tcf(c_10690,plain,
join(iPr_def_11,composition(join(iPr_def_10,iPr_def_12),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_10624,c_3191]) ).
tcf(c_10692,plain,
! [X0: $i,X1: $i] : join(composition(top,composition(top,X0)),composition(X1,X0)) = composition(join(iPr_def_10,join(iPr_def_12,X1)),X0),
inference(theory_normalisation,[status(thm)],[c_10617,c_50,c_49]) ).
tcf(c_10693,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10682,c_3191]) ).
tcf(c_10694,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10681,c_3191]) ).
tcf(c_10695,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10680,c_3191]) ).
tcf(c_10696,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10679,c_3191]) ).
tcf(c_10697,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10678,c_3191]) ).
tcf(c_10698,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10677,c_3191]) ).
tcf(c_10699,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10676,c_3191]) ).
tcf(c_10700,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10675,c_3191]) ).
tcf(c_10701,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10674,c_3191]) ).
tcf(c_10702,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10673,c_3191]) ).
tcf(c_10703,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10672,c_3191]) ).
tcf(c_10704,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10671,c_3191]) ).
tcf(c_10705,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10670,c_3191]) ).
tcf(c_10706,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10669,c_3191]) ).
tcf(c_10707,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10668,c_3191]) ).
tcf(c_10708,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10667,c_3191]) ).
tcf(c_10709,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10666,c_3191]) ).
tcf(c_10710,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10665,c_3191]) ).
tcf(c_10711,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10664,c_3191]) ).
tcf(c_10712,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10663,c_3191]) ).
tcf(c_10713,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10662,c_3191]) ).
tcf(c_10714,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10661,c_3191]) ).
tcf(c_10715,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10660,c_3191]) ).
tcf(c_10716,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10659,c_3191]) ).
tcf(c_10717,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10658,c_3191]) ).
tcf(c_10718,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10657,c_3191]) ).
tcf(c_10719,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10656,c_3191]) ).
tcf(c_10720,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10655,c_3191]) ).
tcf(c_10721,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10654,c_3191]) ).
tcf(c_10722,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10653,c_3191]) ).
tcf(c_10723,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10652,c_3191]) ).
tcf(c_10724,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10651,c_3191]) ).
tcf(c_10725,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10650,c_3191]) ).
tcf(c_10726,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10649,c_3191]) ).
tcf(c_10727,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10648,c_3191]) ).
tcf(c_10728,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10647,c_3191]) ).
tcf(c_10729,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10646,c_3191]) ).
tcf(c_10730,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10645,c_3191]) ).
tcf(c_10731,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10644,c_3191]) ).
tcf(c_10732,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10643,c_3191]) ).
tcf(c_10733,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10642,c_3191]) ).
tcf(c_10734,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10641,c_3191]) ).
tcf(c_10735,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10640,c_3191]) ).
tcf(c_10736,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10639,c_3191]) ).
tcf(c_10737,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10638,c_3191]) ).
tcf(c_10738,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10637,c_3191]) ).
tcf(c_10739,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10636,c_3191]) ).
tcf(c_10740,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10635,c_3191]) ).
tcf(c_10741,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10634,c_3191]) ).
tcf(c_10742,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10633,c_3191]) ).
tcf(c_10743,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10632,c_3191]) ).
tcf(c_10744,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10631,c_3191]) ).
tcf(c_10745,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10630,c_3191]) ).
tcf(c_10746,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10629,c_3191]) ).
tcf(c_10747,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10628,c_3191]) ).
tcf(c_10748,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10627,c_3191]) ).
tcf(c_10749,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10512,c_10685]) ).
tcf(c_10750,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10475,c_10685]) ).
tcf(c_10751,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10435,c_10685]) ).
tcf(c_10752,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10395,c_10685]) ).
tcf(c_10753,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10355,c_10685]) ).
tcf(c_10754,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10321,c_10685]) ).
tcf(c_10755,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10287,c_10685]) ).
tcf(c_10756,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10253,c_10685]) ).
tcf(c_10757,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10094,c_10685]) ).
tcf(c_10758,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10060,c_10685]) ).
tcf(c_10759,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10008,c_10685]) ).
tcf(c_10760,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9968,c_10685]) ).
tcf(c_10761,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9934,c_10685]) ).
tcf(c_10762,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9894,c_10685]) ).
tcf(c_10763,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9854,c_10685]) ).
tcf(c_10764,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9820,c_10685]) ).
tcf(c_10765,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9469,c_10685]) ).
tcf(c_10766,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9430,c_10685]) ).
tcf(c_10767,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9391,c_10685]) ).
tcf(c_10768,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9352,c_10685]) ).
tcf(c_10769,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9310,c_10685]) ).
tcf(c_10770,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9270,c_10685]) ).
tcf(c_10771,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9219,c_10685]) ).
tcf(c_10772,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_9177,c_10685]) ).
tcf(c_10773,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8879,c_10685]) ).
tcf(c_10774,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8837,c_10685]) ).
tcf(c_10775,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8786,c_10685]) ).
tcf(c_10776,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8755,c_10685]) ).
tcf(c_10777,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8713,c_10685]) ).
tcf(c_10778,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8676,c_10685]) ).
tcf(c_10779,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8645,c_10685]) ).
tcf(c_10780,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8604,c_10685]) ).
tcf(c_10781,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8506,c_10685]) ).
tcf(c_10782,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8475,c_10685]) ).
tcf(c_10783,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8444,c_10685]) ).
tcf(c_10784,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8413,c_10685]) ).
tcf(c_10785,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8362,c_10685]) ).
tcf(c_10786,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8321,c_10685]) ).
tcf(c_10787,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8289,c_10685]) ).
tcf(c_10788,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8078,c_10685]) ).
tcf(c_10789,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8044,c_10685]) ).
tcf(c_10790,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7975,c_10685]) ).
tcf(c_10791,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7925,c_10685]) ).
tcf(c_10792,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7793,c_10685]) ).
tcf(c_10793,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4671,c_10685]) ).
tcf(c_10794,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4025,c_10685]) ).
tcf(c_10795,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3971,c_10685]) ).
tcf(c_10796,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3941,c_10685]) ).
tcf(c_10797,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3911,c_10685]) ).
tcf(c_10798,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3472,c_10685]) ).
tcf(c_10799,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3225,c_10685]) ).
tcf(c_10800,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2992,c_10685]) ).
tcf(c_10801,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2788,c_10685]) ).
tcf(c_10802,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2576,c_10685]) ).
tcf(c_10803,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2552,c_10685]) ).
tcf(c_10804,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2528,c_10685]) ).
tcf(c_10839,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10544,c_10685]) ).
tcf(c_10840,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10839,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_10841,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10840]) ).
tcf(c_10842,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10840]) ).
tcf(c_10843,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10840]) ).
tcf(c_10844,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10840]) ).
tcf(c_10845,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10840]) ).
tcf(c_10846,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10840]) ).
tcf(c_10847,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10840]) ).
tcf(c_10848,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10840]) ).
tcf(c_10849,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10840]) ).
tcf(c_10850,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10840]) ).
tcf(c_10851,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10840]) ).
tcf(c_10852,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10840]) ).
tcf(c_10853,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10840]) ).
tcf(c_10854,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10840]) ).
tcf(c_10855,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10840]) ).
tcf(c_10856,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10840]) ).
tcf(c_10857,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10840]) ).
tcf(c_10858,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10840]) ).
tcf(c_10859,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10840]) ).
tcf(c_10860,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10840]) ).
tcf(c_10862,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10840,c_375]) ).
tcf(c_10863,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10840,c_50]) ).
tcf(c_10864,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10840,c_191]) ).
tcf(c_10866,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10840,c_392]) ).
tcf(c_10867,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10859,c_1431,c_1950]) ).
tcf(c_10868,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10857,c_1671,c_1689]) ).
tcf(c_10869,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10856,c_1431]) ).
tcf(c_10870,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10860,c_1431]) ).
tcf(c_10871,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10862,c_50,c_49]) ).
tcf(c_10872,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10871,c_192]) ).
tcf(c_10873,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10866,c_193]) ).
tcf(c_10874,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10858,c_3191]) ).
tcf(c_10876,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10873,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_10877,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10876]) ).
tcf(c_10878,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10876]) ).
tcf(c_10879,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10876]) ).
tcf(c_10880,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10876]) ).
tcf(c_10881,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10876]) ).
tcf(c_10882,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10876]) ).
tcf(c_10883,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10876]) ).
tcf(c_10884,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10876]) ).
tcf(c_10885,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10876]) ).
tcf(c_10886,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10876]) ).
tcf(c_10887,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10876]) ).
tcf(c_10888,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10876]) ).
tcf(c_10889,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10876]) ).
tcf(c_10890,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10876]) ).
tcf(c_10891,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10876]) ).
tcf(c_10892,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10876]) ).
tcf(c_10893,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10876]) ).
tcf(c_10894,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10876]) ).
tcf(c_10895,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10876]) ).
tcf(c_10896,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10876]) ).
tcf(c_10898,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10876,c_375]) ).
tcf(c_10899,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10876,c_50]) ).
tcf(c_10900,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10876,c_191]) ).
tcf(c_10902,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10876,c_392]) ).
tcf(c_10903,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10895,c_1431,c_1950]) ).
tcf(c_10904,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10893,c_1671,c_1689]) ).
tcf(c_10905,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10892,c_1431]) ).
tcf(c_10906,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10896,c_1431]) ).
tcf(c_10907,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10898,c_50,c_49]) ).
tcf(c_10908,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10907,c_192]) ).
tcf(c_10909,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10902,c_193]) ).
tcf(c_10910,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10894,c_3191]) ).
tcf(c_10912,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10909,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_10913,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10912]) ).
tcf(c_10914,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10912]) ).
tcf(c_10915,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10912]) ).
tcf(c_10916,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10912]) ).
tcf(c_10917,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10912]) ).
tcf(c_10918,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10912]) ).
tcf(c_10919,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10912]) ).
tcf(c_10920,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10912]) ).
tcf(c_10921,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10912]) ).
tcf(c_10922,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10912]) ).
tcf(c_10923,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10912]) ).
tcf(c_10924,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10912]) ).
tcf(c_10925,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10912]) ).
tcf(c_10926,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10912]) ).
tcf(c_10927,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10912]) ).
tcf(c_10928,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10912]) ).
tcf(c_10929,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10912]) ).
tcf(c_10930,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10912]) ).
tcf(c_10931,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10912]) ).
tcf(c_10932,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10912]) ).
tcf(c_10934,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10912,c_375]) ).
tcf(c_10935,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10912,c_50]) ).
tcf(c_10936,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10912,c_191]) ).
tcf(c_10938,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10912,c_392]) ).
tcf(c_10939,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10931,c_1431,c_1950]) ).
tcf(c_10940,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10929,c_1671,c_1689]) ).
tcf(c_10941,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10928,c_1431]) ).
tcf(c_10942,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10932,c_1431]) ).
tcf(c_10943,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10934,c_50,c_49]) ).
tcf(c_10944,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10943,c_192]) ).
tcf(c_10945,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10938,c_193]) ).
tcf(c_10946,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10930,c_3191]) ).
tcf(c_10952,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10945,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_10953,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10952]) ).
tcf(c_10954,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10952]) ).
tcf(c_10955,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10952]) ).
tcf(c_10956,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10952]) ).
tcf(c_10957,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10952]) ).
tcf(c_10958,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10952]) ).
tcf(c_10959,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10952]) ).
tcf(c_10960,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10952]) ).
tcf(c_10961,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10952]) ).
tcf(c_10962,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10952]) ).
tcf(c_10963,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10952]) ).
tcf(c_10964,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10952]) ).
tcf(c_10965,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10952]) ).
tcf(c_10966,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10952]) ).
tcf(c_10967,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10952]) ).
tcf(c_10968,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10952]) ).
tcf(c_10969,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10952]) ).
tcf(c_10970,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10952]) ).
tcf(c_10971,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10952]) ).
tcf(c_10972,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10952]) ).
tcf(c_10974,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10952,c_375]) ).
tcf(c_10975,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10952,c_50]) ).
tcf(c_10976,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10952,c_191]) ).
tcf(c_10978,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10952,c_392]) ).
tcf(c_10979,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10971,c_1431,c_1950]) ).
tcf(c_10980,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10969,c_1671,c_1689]) ).
tcf(c_10981,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10968,c_1431]) ).
tcf(c_10982,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10972,c_1431]) ).
tcf(c_10983,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_10974,c_50,c_49]) ).
tcf(c_10984,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_10983,c_192]) ).
tcf(c_10985,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10978,c_193]) ).
tcf(c_10986,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_10970,c_3191]) ).
tcf(c_10992,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10985,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_10993,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_10992]) ).
tcf(c_10994,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_10992]) ).
tcf(c_10995,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_10992]) ).
tcf(c_10996,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_10992]) ).
tcf(c_10997,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_10992]) ).
tcf(c_10998,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_10992]) ).
tcf(c_10999,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_10992]) ).
tcf(c_11000,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_10992]) ).
tcf(c_11001,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_10992]) ).
tcf(c_11002,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_10992]) ).
tcf(c_11003,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_10992]) ).
tcf(c_11004,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_10992]) ).
tcf(c_11005,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_10992]) ).
tcf(c_11006,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_10992]) ).
tcf(c_11007,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_10992]) ).
tcf(c_11008,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_10992]) ).
tcf(c_11009,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_10992]) ).
tcf(c_11010,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_10992]) ).
tcf(c_11011,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_10992]) ).
tcf(c_11012,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_10992]) ).
tcf(c_11014,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_10992,c_375]) ).
tcf(c_11015,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10992,c_50]) ).
tcf(c_11016,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_10992,c_191]) ).
tcf(c_11018,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_10992,c_392]) ).
tcf(c_11019,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11011,c_1431,c_1950]) ).
tcf(c_11020,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11009,c_1671,c_1689]) ).
tcf(c_11021,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11008,c_1431]) ).
tcf(c_11022,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11012,c_1431]) ).
tcf(c_11023,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11014,c_50,c_49]) ).
tcf(c_11024,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11023,c_192]) ).
tcf(c_11025,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11018,c_193]) ).
tcf(c_11026,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11010,c_3191]) ).
tcf(c_11034,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11025,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11035,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11034]) ).
tcf(c_11036,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11034]) ).
tcf(c_11037,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11034]) ).
tcf(c_11038,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11034]) ).
tcf(c_11039,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11034]) ).
tcf(c_11040,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11034]) ).
tcf(c_11041,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11034]) ).
tcf(c_11042,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11034]) ).
tcf(c_11043,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11034]) ).
tcf(c_11044,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11034]) ).
tcf(c_11045,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11034]) ).
tcf(c_11046,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11034]) ).
tcf(c_11047,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11034]) ).
tcf(c_11048,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11034]) ).
tcf(c_11049,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11034]) ).
tcf(c_11050,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11034]) ).
tcf(c_11051,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11034]) ).
tcf(c_11052,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11034]) ).
tcf(c_11053,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11034]) ).
tcf(c_11054,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11034]) ).
tcf(c_11056,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11034,c_375]) ).
tcf(c_11057,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11034,c_50]) ).
tcf(c_11058,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11034,c_191]) ).
tcf(c_11060,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11034,c_392]) ).
tcf(c_11061,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11053,c_1431,c_1950]) ).
tcf(c_11062,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11051,c_1671,c_1689]) ).
tcf(c_11063,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11050,c_1431]) ).
tcf(c_11064,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11054,c_1431]) ).
tcf(c_11065,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11056,c_50,c_49]) ).
tcf(c_11066,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11065,c_192]) ).
tcf(c_11067,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11060,c_193]) ).
tcf(c_11068,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11052,c_3191]) ).
tcf(c_11076,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11067,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11077,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11076]) ).
tcf(c_11078,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11076]) ).
tcf(c_11079,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11076]) ).
tcf(c_11080,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11076]) ).
tcf(c_11081,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11076]) ).
tcf(c_11082,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11076]) ).
tcf(c_11083,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11076]) ).
tcf(c_11084,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11076]) ).
tcf(c_11085,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11076]) ).
tcf(c_11086,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11076]) ).
tcf(c_11087,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11076]) ).
tcf(c_11088,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11076]) ).
tcf(c_11089,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11076]) ).
tcf(c_11090,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11076]) ).
tcf(c_11091,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11076]) ).
tcf(c_11092,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11076]) ).
tcf(c_11093,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11076]) ).
tcf(c_11094,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11076]) ).
tcf(c_11095,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11076]) ).
tcf(c_11096,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11076]) ).
tcf(c_11098,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11076,c_375]) ).
tcf(c_11099,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11076,c_50]) ).
tcf(c_11100,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11076,c_191]) ).
tcf(c_11102,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11076,c_392]) ).
tcf(c_11103,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11095,c_1431,c_1950]) ).
tcf(c_11104,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11093,c_1671,c_1689]) ).
tcf(c_11105,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11092,c_1431]) ).
tcf(c_11106,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11096,c_1431]) ).
tcf(c_11107,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11098,c_50,c_49]) ).
tcf(c_11108,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11107,c_192]) ).
tcf(c_11109,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11102,c_193]) ).
tcf(c_11110,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11094,c_3191]) ).
tcf(c_11118,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11109,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11119,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11118]) ).
tcf(c_11120,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11118]) ).
tcf(c_11121,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11118]) ).
tcf(c_11122,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11118]) ).
tcf(c_11123,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11118]) ).
tcf(c_11124,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11118]) ).
tcf(c_11125,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11118]) ).
tcf(c_11126,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11118]) ).
tcf(c_11127,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11118]) ).
tcf(c_11128,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11118]) ).
tcf(c_11129,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11118]) ).
tcf(c_11130,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11118]) ).
tcf(c_11131,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11118]) ).
tcf(c_11132,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11118]) ).
tcf(c_11133,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11118]) ).
tcf(c_11134,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11118]) ).
tcf(c_11135,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11118]) ).
tcf(c_11136,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11118]) ).
tcf(c_11137,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11118]) ).
tcf(c_11138,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11118]) ).
tcf(c_11140,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11118,c_375]) ).
tcf(c_11141,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11118,c_50]) ).
tcf(c_11142,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11118,c_191]) ).
tcf(c_11144,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11118,c_392]) ).
tcf(c_11145,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11137,c_1431,c_1950]) ).
tcf(c_11146,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11135,c_1671,c_1689]) ).
tcf(c_11147,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11134,c_1431]) ).
tcf(c_11148,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11138,c_1431]) ).
tcf(c_11149,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11140,c_50,c_49]) ).
tcf(c_11150,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11149,c_192]) ).
tcf(c_11151,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11144,c_193]) ).
tcf(c_11152,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11136,c_3191]) ).
tcf(c_11157,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(join(iPr_def_11,X0))),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,X0)))))))) = join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_288,c_8195]) ).
tcf(c_11158,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(demodulation,[status(thm)],[c_11157,c_50,c_7732,c_7878,c_10587]) ).
tcf(c_11160,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_11,join(X0,X1)))))) = join(iPr_def_11,complement(join(iPr_def_11,join(X0,X1)))),
inference(superposition,[status(thm)],[c_50,c_11158]) ).
tcf(c_11161,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_191,c_11158]) ).
tcf(c_11167,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_59,c_11158]) ).
tcf(c_11168,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,X1),join(X0,join(iPr_def_11,X1))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_191,c_11158]) ).
tcf(c_11169,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_349,c_11158]) ).
tcf(c_11170,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,complement(join(iPr_def_11,X0))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_375,c_11158]) ).
tcf(c_11171,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(iPr_def_11),X0),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7124,c_11158]) ).
tcf(c_11172,plain,
join(iPr_def_11,complement(join(top,top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7015,c_11158]) ).
tcf(c_11173,plain,
join(iPr_def_11,complement(join(zero,iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_1429,c_11158]) ).
tcf(c_11174,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(X0,complement(composition(converse(X0),iPr_def_10))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_432,c_11158]) ).
tcf(c_11175,plain,
join(iPr_def_11,complement(join(converse(complement(converse(iPr_def_11))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_2345,c_11158]) ).
tcf(c_11176,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(X0))))) = join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))),
inference(superposition,[status(thm)],[c_1888,c_11158]) ).
tcf(c_11177,plain,
join(iPr_def_11,complement(join(iPr_def_12,iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_3207,c_11158]) ).
tcf(c_11178,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_3214,c_11158]) ).
tcf(c_11179,plain,
join(iPr_def_11,complement(join(complement(iPr_def_12),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_4192,c_11158]) ).
tcf(c_11180,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_4183,c_11158]) ).
tcf(c_11182,plain,
join(iPr_def_11,complement(join(composition(iPr_def_12,top),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_7724,c_11158]) ).
tcf(c_11185,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_11158,c_7878]) ).
tcf(c_11186,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = top,
inference(superposition,[status(thm)],[c_11158,c_375]) ).
tcf(c_11187,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),X1)) = join(join(iPr_def_11,complement(join(iPr_def_11,X0))),X1),
inference(superposition,[status(thm)],[c_11158,c_50]) ).
tcf(c_11188,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(iPr_def_11,X1))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_11158,c_191]) ).
tcf(c_11190,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(X0,join(iPr_def_11,X0))),join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))),
inference(superposition,[status(thm)],[c_11158,c_11158]) ).
tcf(c_11191,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_11158,c_10560]) ).
tcf(c_11192,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,X0))),top)) = composition(join(iPr_def_11,complement(join(iPr_def_11,X0))),top),
inference(superposition,[status(thm)],[c_11158,c_391]) ).
tcf(c_11193,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11158,c_8543]) ).
tcf(c_11194,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_11158,c_7123]) ).
tcf(c_11195,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,join(iPr_def_11,X0)),join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_11158,c_1888]) ).
tcf(c_11196,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))) = join(iPr_def_11,join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_11158,c_10560]) ).
tcf(c_11197,plain,
join(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11158,c_8543]) ).
tcf(c_11198,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(join(iPr_def_11,X1))))) = top,
inference(superposition,[status(thm)],[c_11158,c_7698]) ).
tcf(c_11199,plain,
join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_11177,c_50,c_49]) ).
tcf(c_11201,plain,
join(iPr_def_11,complement(join(iPr_def_11,zero))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_11173,c_50,c_49]) ).
tcf(c_11202,plain,
join(iPr_def_11,complement(join(iPr_def_11,zero))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_11201,c_1671]) ).
tcf(c_11203,plain,
join(iPr_def_11,complement(join(iPr_def_11,zero))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_11202,c_50,c_49]) ).
tcf(c_11205,plain,
join(iPr_def_11,complement(join(top,top))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_11172,c_107]) ).
tcf(c_11208,plain,
join(iPr_def_11,complement(join(top,complement(iPr_def_12)))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_11179,c_50,c_49]) ).
tcf(c_11209,plain,
join(iPr_def_11,complement(join(top,complement(iPr_def_12)))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_11208,c_107]) ).
tcf(c_11210,plain,
join(iPr_def_11,complement(join(top,complement(iPr_def_11)))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_11167,c_50,c_49]) ).
tcf(c_11211,plain,
join(iPr_def_11,complement(join(top,iPr_def_10))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_11210,c_107,c_1671]) ).
tcf(c_11212,plain,
join(iPr_def_11,complement(join(iPr_def_10,top))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_11211,c_50,c_49]) ).
tcf(c_11213,plain,
join(iPr_def_11,complement(join(iPr_def_11,composition(iPr_def_12,top)))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_11182,c_50,c_49]) ).
tcf(c_11215,plain,
join(iPr_def_11,complement(join(top,converse(complement(converse(iPr_def_11)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_11175,c_50,c_49]) ).
tcf(c_11217,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_11))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_11171,c_50,c_49]) ).
tcf(c_11218,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,iPr_def_10)))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_11217,c_107,c_1671]) ).
tcf(c_11219,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,join(X0,top)))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_11218,c_50,c_49]) ).
tcf(c_11222,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_11170,c_50,c_49]) ).
tcf(c_11223,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,complement(join(iPr_def_11,X0)))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_11222,c_107,c_6410]) ).
tcf(c_11225,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_12))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_11180,c_50,c_49]) ).
tcf(c_11226,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,iPr_def_11))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(light_normalisation,[status(thm)],[c_11225,c_9041,c_10611]) ).
tcf(c_11227,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,iPr_def_12))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_11178,c_50,c_49]) ).
tcf(c_11228,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10)))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_11174,c_50,c_49]) ).
tcf(c_11230,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_11169,c_50,c_49]) ).
tcf(c_11233,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),X1)) = join(iPr_def_11,join(complement(join(iPr_def_11,X0)),X1)),
inference(theory_normalisation,[status(thm)],[c_11187,c_50,c_49]) ).
tcf(c_11234,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11193,c_10560]) ).
tcf(c_11238,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X0,join(iPr_def_11,X1)))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,X1)))),
inference(theory_normalisation,[status(thm)],[c_11168,c_50,c_49]) ).
tcf(c_11240,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_11195,c_50,c_49]) ).
tcf(c_11241,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,join(iPr_def_11,X0)))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(light_normalisation,[status(thm)],[c_11240,c_10560]) ).
tcf(c_11242,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(X0,join(iPr_def_11,X0))))))) = join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))),
inference(theory_normalisation,[status(thm)],[c_11190,c_50,c_49]) ).
tcf(c_11246,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))),
inference(theory_normalisation,[status(thm)],[c_11176,c_50,c_49]) ).
tcf(c_11253,plain,
! [X0: $i,X1: $i] : converse(converse(composition(X0,X1))) = composition(X0,X1),
inference(light_normalisation,[status(thm)],[c_1022,c_1413]) ).
tcf(c_11260,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11151,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11261,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11260]) ).
tcf(c_11262,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11260]) ).
tcf(c_11263,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11260]) ).
tcf(c_11264,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11260]) ).
tcf(c_11265,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11260]) ).
tcf(c_11266,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11260]) ).
tcf(c_11267,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11260]) ).
tcf(c_11268,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11260]) ).
tcf(c_11269,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11260]) ).
tcf(c_11270,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11260]) ).
tcf(c_11271,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11260]) ).
tcf(c_11272,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11260]) ).
tcf(c_11273,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11260]) ).
tcf(c_11274,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11260]) ).
tcf(c_11275,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11260]) ).
tcf(c_11276,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11260]) ).
tcf(c_11277,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11260]) ).
tcf(c_11278,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11260]) ).
tcf(c_11279,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11260]) ).
tcf(c_11280,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11260]) ).
tcf(c_11282,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11260,c_375]) ).
tcf(c_11283,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11260,c_50]) ).
tcf(c_11284,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11260,c_191]) ).
tcf(c_11286,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11260,c_392]) ).
tcf(c_11287,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11279,c_1431,c_1950]) ).
tcf(c_11288,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11277,c_1671,c_1689]) ).
tcf(c_11289,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11276,c_1431]) ).
tcf(c_11290,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11280,c_1431]) ).
tcf(c_11291,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11282,c_50,c_49]) ).
tcf(c_11292,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11291,c_192]) ).
tcf(c_11293,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11286,c_193]) ).
tcf(c_11294,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11278,c_3191]) ).
tcf(c_11300,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11293,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11301,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11300]) ).
tcf(c_11302,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11300]) ).
tcf(c_11303,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11300]) ).
tcf(c_11304,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11300]) ).
tcf(c_11305,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11300]) ).
tcf(c_11306,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11300]) ).
tcf(c_11307,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11300]) ).
tcf(c_11308,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11300]) ).
tcf(c_11309,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11300]) ).
tcf(c_11310,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11300]) ).
tcf(c_11311,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11300]) ).
tcf(c_11312,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11300]) ).
tcf(c_11313,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11300]) ).
tcf(c_11314,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11300]) ).
tcf(c_11315,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11300]) ).
tcf(c_11316,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11300]) ).
tcf(c_11317,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11300]) ).
tcf(c_11318,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11300]) ).
tcf(c_11319,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11300]) ).
tcf(c_11320,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11300]) ).
tcf(c_11322,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11300,c_375]) ).
tcf(c_11323,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11300,c_50]) ).
tcf(c_11324,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11300,c_191]) ).
tcf(c_11326,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11300,c_392]) ).
tcf(c_11327,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11319,c_1431,c_1950]) ).
tcf(c_11328,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11317,c_1671,c_1689]) ).
tcf(c_11329,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11316,c_1431]) ).
tcf(c_11330,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11320,c_1431]) ).
tcf(c_11331,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11322,c_50,c_49]) ).
tcf(c_11332,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11331,c_192]) ).
tcf(c_11333,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11326,c_193]) ).
tcf(c_11334,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11318,c_3191]) ).
tcf(c_11344,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11333,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11345,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11344]) ).
tcf(c_11346,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11344]) ).
tcf(c_11347,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11344]) ).
tcf(c_11348,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11344]) ).
tcf(c_11349,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11344]) ).
tcf(c_11350,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11344]) ).
tcf(c_11351,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11344]) ).
tcf(c_11352,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11344]) ).
tcf(c_11353,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11344]) ).
tcf(c_11354,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11344]) ).
tcf(c_11355,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11344]) ).
tcf(c_11356,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11344]) ).
tcf(c_11357,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11344]) ).
tcf(c_11358,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11344]) ).
tcf(c_11359,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11344]) ).
tcf(c_11360,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11344]) ).
tcf(c_11361,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11344]) ).
tcf(c_11362,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11344]) ).
tcf(c_11363,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11344]) ).
tcf(c_11364,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11344]) ).
tcf(c_11366,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11344,c_375]) ).
tcf(c_11367,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11344,c_50]) ).
tcf(c_11368,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11344,c_191]) ).
tcf(c_11370,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11344,c_392]) ).
tcf(c_11371,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11363,c_1431,c_1950]) ).
tcf(c_11372,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11361,c_1671,c_1689]) ).
tcf(c_11373,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11360,c_1431]) ).
tcf(c_11374,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11364,c_1431]) ).
tcf(c_11375,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11366,c_50,c_49]) ).
tcf(c_11376,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11375,c_192]) ).
tcf(c_11377,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11370,c_193]) ).
tcf(c_11378,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11362,c_3191]) ).
tcf(c_11384,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11377,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11385,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11384]) ).
tcf(c_11386,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11384]) ).
tcf(c_11387,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11384]) ).
tcf(c_11388,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11384]) ).
tcf(c_11389,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11384]) ).
tcf(c_11390,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11384]) ).
tcf(c_11391,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11384]) ).
tcf(c_11392,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11384]) ).
tcf(c_11393,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11384]) ).
tcf(c_11394,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11384]) ).
tcf(c_11395,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11384]) ).
tcf(c_11396,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11384]) ).
tcf(c_11397,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11384]) ).
tcf(c_11398,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11384]) ).
tcf(c_11399,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11384]) ).
tcf(c_11400,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11384]) ).
tcf(c_11401,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11384]) ).
tcf(c_11402,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11384]) ).
tcf(c_11403,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11384]) ).
tcf(c_11404,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11384]) ).
tcf(c_11406,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11384,c_375]) ).
tcf(c_11407,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11384,c_50]) ).
tcf(c_11408,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11384,c_191]) ).
tcf(c_11410,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11384,c_392]) ).
tcf(c_11411,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11403,c_1431,c_1950]) ).
tcf(c_11412,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11401,c_1671,c_1689]) ).
tcf(c_11413,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11400,c_1431]) ).
tcf(c_11414,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11404,c_1431]) ).
tcf(c_11415,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11406,c_50,c_49]) ).
tcf(c_11416,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11415,c_192]) ).
tcf(c_11417,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11410,c_193]) ).
tcf(c_11418,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11402,c_3191]) ).
tcf(c_11424,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11417,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11425,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11424]) ).
tcf(c_11426,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11424]) ).
tcf(c_11427,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11424]) ).
tcf(c_11428,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11424]) ).
tcf(c_11429,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11424]) ).
tcf(c_11430,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11424]) ).
tcf(c_11431,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11424]) ).
tcf(c_11432,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11424]) ).
tcf(c_11433,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11424]) ).
tcf(c_11434,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11424]) ).
tcf(c_11435,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11424]) ).
tcf(c_11436,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11424]) ).
tcf(c_11437,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11424]) ).
tcf(c_11438,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11424]) ).
tcf(c_11439,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11424]) ).
tcf(c_11440,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11424]) ).
tcf(c_11441,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11424]) ).
tcf(c_11442,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11424]) ).
tcf(c_11443,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11424]) ).
tcf(c_11444,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11424]) ).
tcf(c_11446,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11424,c_375]) ).
tcf(c_11447,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11424,c_50]) ).
tcf(c_11448,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11424,c_191]) ).
tcf(c_11450,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11424,c_392]) ).
tcf(c_11451,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11443,c_1431,c_1950]) ).
tcf(c_11452,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11441,c_1671,c_1689]) ).
tcf(c_11453,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11440,c_1431]) ).
tcf(c_11454,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11444,c_1431]) ).
tcf(c_11455,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11446,c_50,c_49]) ).
tcf(c_11456,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11455,c_192]) ).
tcf(c_11457,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11450,c_193]) ).
tcf(c_11458,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11442,c_3191]) ).
tcf(c_11465,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11457,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11466,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11465]) ).
tcf(c_11467,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11465]) ).
tcf(c_11468,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11465]) ).
tcf(c_11469,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11465]) ).
tcf(c_11470,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11465]) ).
tcf(c_11471,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11465]) ).
tcf(c_11472,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11465]) ).
tcf(c_11473,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11465]) ).
tcf(c_11474,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11465]) ).
tcf(c_11475,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11465]) ).
tcf(c_11476,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11465]) ).
tcf(c_11477,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11465]) ).
tcf(c_11478,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11465]) ).
tcf(c_11479,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11465]) ).
tcf(c_11480,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11465]) ).
tcf(c_11481,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11465]) ).
tcf(c_11482,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11465]) ).
tcf(c_11483,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11465]) ).
tcf(c_11484,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11465]) ).
tcf(c_11485,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11465]) ).
tcf(c_11487,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11465,c_375]) ).
tcf(c_11488,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11465,c_50]) ).
tcf(c_11489,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11465,c_191]) ).
tcf(c_11491,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11465,c_392]) ).
tcf(c_11492,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11484,c_1431,c_1950]) ).
tcf(c_11493,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11482,c_1671,c_1689]) ).
tcf(c_11494,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11481,c_1431]) ).
tcf(c_11495,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11485,c_1431]) ).
tcf(c_11496,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11487,c_50,c_49]) ).
tcf(c_11497,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11496,c_192]) ).
tcf(c_11498,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11491,c_193]) ).
tcf(c_11499,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11483,c_3191]) ).
tcf(c_11505,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11498,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11506,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11505]) ).
tcf(c_11507,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11505]) ).
tcf(c_11508,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11505]) ).
tcf(c_11509,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11505]) ).
tcf(c_11510,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11505]) ).
tcf(c_11511,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11505]) ).
tcf(c_11512,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11505]) ).
tcf(c_11513,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11505]) ).
tcf(c_11514,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11505]) ).
tcf(c_11515,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11505]) ).
tcf(c_11516,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11505]) ).
tcf(c_11517,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11505]) ).
tcf(c_11518,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11505]) ).
tcf(c_11519,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11505]) ).
tcf(c_11520,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11505]) ).
tcf(c_11521,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11505]) ).
tcf(c_11522,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11505]) ).
tcf(c_11523,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11505]) ).
tcf(c_11524,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11505]) ).
tcf(c_11525,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11505]) ).
tcf(c_11527,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11505,c_375]) ).
tcf(c_11528,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11505,c_50]) ).
tcf(c_11529,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11505,c_191]) ).
tcf(c_11531,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11505,c_392]) ).
tcf(c_11532,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11524,c_1431,c_1950]) ).
tcf(c_11533,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11522,c_1671,c_1689]) ).
tcf(c_11534,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11521,c_1431]) ).
tcf(c_11535,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11525,c_1431]) ).
tcf(c_11536,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11527,c_50,c_49]) ).
tcf(c_11537,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11536,c_192]) ).
tcf(c_11538,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11531,c_193]) ).
tcf(c_11539,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11523,c_3191]) ).
tcf(c_11546,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11538,c_49,c_52,c_448,c_474,c_556,c_10618,c_10685]) ).
tcf(c_11547,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_11546]) ).
tcf(c_11548,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_11546]) ).
tcf(c_11549,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_11546]) ).
tcf(c_11550,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_11546]) ).
tcf(c_11551,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_11546]) ).
tcf(c_11552,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_11546]) ).
tcf(c_11553,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_11546]) ).
tcf(c_11554,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_11546]) ).
tcf(c_11555,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_11546]) ).
tcf(c_11556,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_11546]) ).
tcf(c_11557,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11546]) ).
tcf(c_11558,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11546]) ).
tcf(c_11559,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11546]) ).
tcf(c_11560,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(join(iPr_def_10,iPr_def_12),iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3191,c_11546]) ).
tcf(c_11561,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11546]) ).
tcf(c_11562,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11546]) ).
tcf(c_11563,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11546]) ).
tcf(c_11564,plain,
join(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_12)),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_556,c_11546]) ).
tcf(c_11565,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_11546]) ).
tcf(c_11566,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11546]) ).
tcf(c_11568,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11546,c_375]) ).
tcf(c_11569,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11546,c_50]) ).
tcf(c_11570,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11546,c_191]) ).
tcf(c_11572,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11546,c_392]) ).
tcf(c_11573,plain,
join(iPr_def_10,composition(zero,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11565,c_1431,c_1950]) ).
tcf(c_11574,plain,
join(iPr_def_10,composition(one,composition(iPr_def_10,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11563,c_1671,c_1689]) ).
tcf(c_11575,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11562,c_1431]) ).
tcf(c_11576,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11566,c_1431]) ).
tcf(c_11577,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_11568,c_50,c_49]) ).
tcf(c_11578,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = top,
inference(light_normalisation,[status(thm)],[c_11577,c_192]) ).
tcf(c_11579,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11572,c_193]) ).
tcf(c_11580,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),composition(complement(composition(top,composition(top,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11564,c_3191]) ).
tcf(c_11603,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),X0))) = X0,
inference(light_normalisation,[status(thm)],[c_1655,c_7732]) ).
tcf(c_11609,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_52,c_1767]) ).
tcf(c_11610,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(composition(X0,X1))) = composition(join(one,converse(X1)),converse(X0)),
inference(superposition,[status(thm)],[c_57,c_1767]) ).
tcf(c_11611,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(X0,top))) = join(complement(composition(X0,top)),zero),
inference(superposition,[status(thm)],[c_9545,c_1767]) ).
tcf(c_11612,plain,
composition(join(one,converse(iPr_def_11)),complement(iPr_def_12)) = join(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_1359,c_1767]) ).
tcf(c_11613,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_382,c_1767]) ).
tcf(c_11614,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_383,c_1767]) ).
tcf(c_11615,plain,
! [X0: $i] : composition(join(one,one),X0) = join(X0,X0),
inference(superposition,[status(thm)],[c_1708,c_1767]) ).
tcf(c_11616,plain,
! [X0: $i] : join(X0,composition(top,composition(top,X0))) = composition(join(one,join(iPr_def_10,iPr_def_12)),X0),
inference(superposition,[status(thm)],[c_556,c_1767]) ).
tcf(c_11617,plain,
join(join(iPr_def_10,iPr_def_12),composition(iPr_def_12,top)) = composition(join(one,iPr_def_11),join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_559,c_1767]) ).
tcf(c_11618,plain,
composition(join(one,iPr_def_10),join(iPr_def_10,iPr_def_12)) = join(join(iPr_def_10,iPr_def_12),iPr_def_10),
inference(superposition,[status(thm)],[c_561,c_1767]) ).
tcf(c_11620,plain,
! [X0: $i] : composition(join(one,zero),X0) = join(X0,zero),
inference(superposition,[status(thm)],[c_8217,c_1767]) ).
tcf(c_11621,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_8911,c_1767]) ).
tcf(c_11622,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_8927,c_1767]) ).
tcf(c_11623,plain,
! [X0: $i] : composition(join(one,X0),complement(composition(converse(X0),top))) = join(complement(composition(converse(X0),top)),zero),
inference(superposition,[status(thm)],[c_9546,c_1767]) ).
tcf(c_11631,plain,
! [X0: $i] : join(X0,composition(complement(one),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_59,c_1767]) ).
tcf(c_11632,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,X2),X0)) = composition(join(X1,join(one,X2)),X0),
inference(superposition,[status(thm)],[c_191,c_1767]) ).
tcf(c_11633,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,complement(join(one,X1))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_375,c_1767]) ).
tcf(c_11634,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(complement(one),X1),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_7124,c_1767]) ).
tcf(c_11635,plain,
! [X0: $i] : join(X0,composition(top,X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_7015,c_1767]) ).
tcf(c_11636,plain,
! [X0: $i] : join(X0,composition(zero,X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_1429,c_1767]) ).
tcf(c_11637,plain,
! [X0: $i] : join(X0,composition(converse(complement(converse(one))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_2345,c_1767]) ).
tcf(c_11638,plain,
! [X0: $i] : join(X0,composition(one,X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_7769,c_1767]) ).
tcf(c_11639,plain,
! [X0: $i] : join(X0,composition(converse(complement(one)),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_9159,c_1767]) ).
tcf(c_11641,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(converse(complement(one)),X1),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_9175,c_1767]) ).
tcf(c_11642,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,X1),X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_1767,c_7878]) ).
tcf(c_11643,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(X1,X0),complement(composition(join(one,X1),X0)))) = top,
inference(superposition,[status(thm)],[c_1767,c_375]) ).
tcf(c_11644,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_1767,c_50]) ).
tcf(c_11646,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_1767,c_50]) ).
tcf(c_11647,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,X1),complement(X0))) = top,
inference(superposition,[status(thm)],[c_1767,c_7124]) ).
tcf(c_11648,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_1767,c_191]) ).
tcf(c_11650,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(X1,converse(X0)))) = converse(composition(join(one,X1),converse(X0))),
inference(superposition,[status(thm)],[c_1767,c_221]) ).
tcf(c_11651,plain,
composition(join(one,converse(one)),complement(one)) = complement(one),
inference(superposition,[status(thm)],[c_1767,c_351]) ).
tcf(c_11652,plain,
! [X0: $i] : join(one,composition(join(one,X0),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_1767,c_9175]) ).
tcf(c_11653,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,composition(X1,X0)),composition(X2,X0)) = composition(join(join(one,X1),X2),X0),
inference(superposition,[status(thm)],[c_1767,c_54]) ).
tcf(c_11654,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X0)),X2) = composition(join(one,X1),composition(X0,X2)),
inference(superposition,[status(thm)],[c_1767,c_52]) ).
tcf(c_11655,plain,
! [X0: $i] : join(one,composition(X0,one)) = join(one,X0),
inference(superposition,[status(thm)],[c_1767,c_53]) ).
tcf(c_11656,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),join(X1,composition(X2,X1))) = composition(join(X0,join(one,X2)),X1),
inference(superposition,[status(thm)],[c_1767,c_54]) ).
tcf(c_11657,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,composition(X1,X0))) = composition(join(one,join(one,X1)),X0),
inference(superposition,[status(thm)],[c_1767,c_1767]) ).
tcf(c_11658,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(one,X1)),complement(join(X0,composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1767,c_76]) ).
tcf(c_11659,plain,
! [X0: $i] : composition(converse(join(one,X0)),complement(join(top,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_1767,c_9545]) ).
tcf(c_11660,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(one,X0)),complement(join(iPr_def_10,composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1767,c_349]) ).
tcf(c_11661,plain,
join(top,composition(iPr_def_11,top)) = join(iPr_def_12,composition(one,top)),
inference(superposition,[status(thm)],[c_1767,c_402]) ).
tcf(c_11662,plain,
join(top,composition(iPr_def_10,top)) = join(iPr_def_10,composition(one,top)),
inference(superposition,[status(thm)],[c_1767,c_401]) ).
tcf(c_11663,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11546]) ).
tcf(c_11664,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11505]) ).
tcf(c_11665,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11465]) ).
tcf(c_11666,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11424]) ).
tcf(c_11667,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11384]) ).
tcf(c_11668,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11344]) ).
tcf(c_11669,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11300]) ).
tcf(c_11670,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11260]) ).
tcf(c_11671,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11118]) ).
tcf(c_11672,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11076]) ).
tcf(c_11673,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_11034]) ).
tcf(c_11674,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_10992]) ).
tcf(c_11675,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_10952]) ).
tcf(c_11676,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_10912]) ).
tcf(c_11677,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_10876]) ).
tcf(c_11678,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_10840]) ).
tcf(c_11683,plain,
! [X0: $i] : composition(join(one,zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_11620,c_1429]) ).
tcf(c_11684,plain,
! [X0: $i] : composition(join(one,one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_11615,c_7769]) ).
tcf(c_11685,plain,
composition(join(one,one),complement(one)) = complement(one),
inference(light_normalisation,[status(thm)],[c_11651,c_1689]) ).
tcf(c_11686,plain,
join(iPr_def_10,composition(one,top)) = join(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_11662,c_193]) ).
tcf(c_11687,plain,
join(iPr_def_10,composition(one,top)) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_11686,c_50,c_49]) ).
tcf(c_11688,plain,
join(iPr_def_12,composition(one,top)) = join(top,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_11661,c_116]) ).
tcf(c_11689,plain,
join(iPr_def_12,composition(one,top)) = join(iPr_def_12,top),
inference(theory_normalisation,[status(thm)],[c_11688,c_50,c_49]) ).
tcf(c_11691,plain,
composition(join(one,converse(iPr_def_11)),complement(iPr_def_12)) = join(zero,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_11612,c_50,c_49]) ).
tcf(c_11692,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_11659,c_1723]) ).
tcf(c_11693,plain,
composition(join(iPr_def_10,one),join(iPr_def_10,iPr_def_12)) = join(iPr_def_10,join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_11618,c_50,c_49]) ).
tcf(c_11694,plain,
composition(join(iPr_def_10,one),join(iPr_def_10,iPr_def_12)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_11693,c_1921]) ).
tcf(c_11695,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_11622,c_50,c_49]) ).
tcf(c_11696,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_11621,c_50,c_49]) ).
tcf(c_11697,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),complement(join(iPr_def_10,composition(X0,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_11660,c_1723]) ).
tcf(c_11699,plain,
join(iPr_def_10,join(iPr_def_12,composition(iPr_def_12,top))) = composition(join(iPr_def_11,one),join(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_11617,c_50,c_49]) ).
tcf(c_11700,plain,
composition(join(iPr_def_11,one),join(iPr_def_10,iPr_def_12)) = join(iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_11699,c_10202]) ).
tcf(c_11701,plain,
! [X0: $i] : join(X0,composition(top,composition(top,X0))) = composition(join(iPr_def_10,join(iPr_def_12,one)),X0),
inference(theory_normalisation,[status(thm)],[c_11616,c_50,c_49]) ).
tcf(c_11702,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_11614,c_50,c_49]) ).
tcf(c_11703,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_11613,c_50,c_49]) ).
tcf(c_11704,plain,
! [X0: $i] : composition(join(one,converse(X0)),complement(composition(X0,top))) = join(zero,complement(composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_11611,c_50,c_49]) ).
tcf(c_11705,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),composition(X2,X0))) = composition(join(X1,join(one,X2)),X0),
inference(theory_normalisation,[status(thm)],[c_11656,c_50,c_49]) ).
tcf(c_11706,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),composition(X2,X0))) = composition(join(one,join(X1,X2)),X0),
inference(theory_normalisation,[status(thm)],[c_11653,c_50,c_49]) ).
tcf(c_11707,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_11623,c_50,c_49]) ).
tcf(c_11708,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11678,c_1723]) ).
tcf(c_11709,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11677,c_1723]) ).
tcf(c_11710,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11676,c_1723]) ).
tcf(c_11711,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11675,c_1723]) ).
tcf(c_11712,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11674,c_1723]) ).
tcf(c_11713,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11673,c_1723]) ).
tcf(c_11714,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11672,c_1723]) ).
tcf(c_11715,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11671,c_1723]) ).
tcf(c_11716,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11670,c_1723]) ).
tcf(c_11717,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11669,c_1723]) ).
tcf(c_11718,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11668,c_1723]) ).
tcf(c_11719,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11667,c_1723]) ).
tcf(c_11720,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11666,c_1723]) ).
tcf(c_11721,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11665,c_1723]) ).
tcf(c_11722,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11664,c_1723]) ).
tcf(c_11723,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,composition(iPr_def_12,top))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11663,c_1723]) ).
tcf(c_11744,plain,
join(one,complement(one)) = composition(top,one),
inference(superposition,[status(thm)],[c_53,c_11631]) ).
tcf(c_11745,plain,
join(zero,zero) = composition(top,zero),
inference(superposition,[status(thm)],[c_8201,c_11631]) ).
tcf(c_11746,plain,
join(complement(composition(converse(complement(one)),top)),zero) = composition(top,complement(composition(converse(complement(one)),top))),
inference(superposition,[status(thm)],[c_9546,c_11631]) ).
tcf(c_11748,plain,
! [X0: $i] : join(X0,join(composition(complement(one),X0),complement(composition(top,X0)))) = top,
inference(superposition,[status(thm)],[c_11631,c_375]) ).
tcf(c_11749,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(complement(one),X0),X1)) = join(composition(top,X0),X1),
inference(superposition,[status(thm)],[c_11631,c_50]) ).
tcf(c_11751,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(complement(one),join(X0,X1)))) = composition(top,join(X0,X1)),
inference(superposition,[status(thm)],[c_11631,c_50]) ).
tcf(c_11752,plain,
! [X0: $i] : join(X0,composition(top,complement(X0))) = top,
inference(superposition,[status(thm)],[c_11631,c_7124]) ).
tcf(c_11753,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(complement(one),X0))) = join(X1,composition(top,X0)),
inference(superposition,[status(thm)],[c_11631,c_191]) ).
tcf(c_11754,plain,
composition(complement(one),zero) = composition(top,zero),
inference(superposition,[status(thm)],[c_11631,c_1336]) ).
tcf(c_11755,plain,
join(iPr_def_11,complement(join(composition(complement(one),iPr_def_11),composition(top,iPr_def_11)))) = join(iPr_def_11,complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_11631,c_11158]) ).
tcf(c_11756,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(composition(top,iPr_def_11))))) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_11631,c_10560]) ).
tcf(c_11757,plain,
join(iPr_def_12,composition(composition(complement(one),iPr_def_11),top)) = composition(composition(top,iPr_def_11),top),
inference(superposition,[status(thm)],[c_11631,c_391]) ).
tcf(c_11758,plain,
join(complement(composition(top,iPr_def_11)),complement(join(iPr_def_11,complement(composition(top,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11631,c_8543]) ).
tcf(c_11759,plain,
join(iPr_def_10,composition(top,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_11631,c_7123]) ).
tcf(c_11761,plain,
! [X0: $i] : join(X0,converse(composition(complement(one),converse(X0)))) = converse(composition(top,converse(X0))),
inference(superposition,[status(thm)],[c_11631,c_221]) ).
tcf(c_11762,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_11631,c_7096]) ).
tcf(c_11763,plain,
join(iPr_def_10,composition(composition(complement(one),iPr_def_10),top)) = composition(composition(top,iPr_def_10),top),
inference(superposition,[status(thm)],[c_11631,c_392]) ).
tcf(c_11764,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_11631,c_7698]) ).
tcf(c_11765,plain,
! [X0: $i] : composition(join(one,complement(one)),X0) = composition(top,X0),
inference(superposition,[status(thm)],[c_11631,c_1767]) ).
tcf(c_11766,plain,
join(one,converse(composition(complement(one),one))) = converse(composition(top,one)),
inference(superposition,[status(thm)],[c_11631,c_1723]) ).
tcf(c_11767,plain,
! [X0: $i] : join(X0,composition(composition(complement(one),one),X0)) = composition(composition(top,one),X0),
inference(superposition,[status(thm)],[c_11631,c_1767]) ).
tcf(c_11768,plain,
join(iPr_def_11,composition(complement(one),iPr_def_12)) = join(iPr_def_11,composition(top,iPr_def_12)),
inference(superposition,[status(thm)],[c_11631,c_3214]) ).
tcf(c_11769,plain,
join(one,composition(top,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_11631,c_9175]) ).
tcf(c_11770,plain,
! [X0: $i] : join(X0,join(complement(composition(top,X0)),composition(complement(one),X0))) = top,
inference(theory_normalisation,[status(thm)],[c_11748,c_50,c_49]) ).
tcf(c_11772,plain,
join(zero,complement(composition(converse(complement(one)),top))) = composition(top,complement(composition(converse(complement(one)),top))),
inference(theory_normalisation,[status(thm)],[c_11746,c_50,c_49]) ).
tcf(c_11773,plain,
join(iPr_def_11,complement(join(composition(top,iPr_def_11),composition(complement(one),iPr_def_11)))) = join(iPr_def_11,complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_11755,c_50,c_49]) ).
tcf(c_11774,plain,
join(iPr_def_10,iPr_def_12) = top,
inference(demodulation,[status(thm)],[c_448,c_11762]) ).
tcf(c_11775,plain,
! [X0: $i] : composition(top,composition(top,X0)) = composition(top,X0),
inference(demodulation,[status(thm)],[c_556,c_11774]) ).
tcf(c_11777,plain,
composition(iPr_def_11,top) = composition(iPr_def_12,top),
inference(demodulation,[status(thm)],[c_559,c_11774]) ).
tcf(c_11779,plain,
composition(iPr_def_12,top) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_11777,c_116]) ).
tcf(c_11780,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11546,c_11779]) ).
tcf(c_11781,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11505,c_11779]) ).
tcf(c_11782,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11465,c_11779]) ).
tcf(c_11783,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11424,c_11779]) ).
tcf(c_11784,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11384,c_11779]) ).
tcf(c_11785,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11344,c_11779]) ).
tcf(c_11786,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11300,c_11779]) ).
tcf(c_11787,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11260,c_11779]) ).
tcf(c_11788,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11118,c_11779]) ).
tcf(c_11789,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11076,c_11779]) ).
tcf(c_11790,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11034,c_11779]) ).
tcf(c_11791,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10992,c_11779]) ).
tcf(c_11792,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10952,c_11779]) ).
tcf(c_11793,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10912,c_11779]) ).
tcf(c_11794,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,composition(top,join(iPr_def_10,iPr_def_12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10876,c_11779]) ).
tcf(c_11813,plain,
! [X0: $i] : join(top,composition(X0,top)) = composition(join(top,X0),top),
inference(superposition,[status(thm)],[c_11762,c_54]) ).
tcf(c_11815,plain,
! [X0: $i] : join(composition(X0,top),top) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11762,c_54]) ).
tcf(c_11816,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_11762,c_76]) ).
tcf(c_11817,plain,
composition(converse(top),complement(top)) = zero,
inference(superposition,[status(thm)],[c_11762,c_9545]) ).
tcf(c_11818,plain,
composition(converse(top),top) = converse(top),
inference(superposition,[status(thm)],[c_11762,c_2357]) ).
tcf(c_11822,plain,
join(zero,join(zero,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_11816,c_107,c_2343,c_11745]) ).
tcf(c_11823,plain,
! [X0: $i] : join(top,composition(X0,top)) = composition(join(X0,top),top),
inference(theory_normalisation,[status(thm)],[c_11815,c_50,c_49]) ).
tcf(c_11824,plain,
! [X0: $i] : join(top,composition(X0,top)) = top,
inference(light_normalisation,[status(thm)],[c_11823,c_7015,c_11762]) ).
tcf(c_11827,plain,
join(iPr_def_10,join(iPr_def_12,complement(top))) = top,
inference(superposition,[status(thm)],[c_11774,c_375]) ).
tcf(c_11828,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_11774,c_50]) ).
tcf(c_11829,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_12)) = join(X0,top),
inference(superposition,[status(thm)],[c_11774,c_191]) ).
tcf(c_11831,plain,
join(iPr_def_10,composition(iPr_def_12,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11774,c_392]) ).
tcf(c_11837,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_12)) = top,
inference(light_normalisation,[status(thm)],[c_11829,c_7015]) ).
tcf(c_11838,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,X0)) = top,
inference(light_normalisation,[status(thm)],[c_11828,c_7096]) ).
tcf(c_11839,plain,
! [X0: $i] : join(iPr_def_12,composition(X0,top)) = composition(join(iPr_def_12,X0),top),
inference(superposition,[status(thm)],[c_11779,c_54]) ).
tcf(c_11840,plain,
! [X0: $i] : composition(iPr_def_12,composition(top,X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_11779,c_52]) ).
tcf(c_11841,plain,
! [X0: $i] : join(composition(X0,top),iPr_def_12) = composition(join(X0,iPr_def_12),top),
inference(superposition,[status(thm)],[c_11779,c_54]) ).
tcf(c_11842,plain,
join(complement(top),composition(converse(iPr_def_12),complement(iPr_def_12))) = complement(top),
inference(superposition,[status(thm)],[c_11779,c_76]) ).
tcf(c_11843,plain,
composition(converse(iPr_def_12),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_11779,c_9545]) ).
tcf(c_11845,plain,
join(zero,composition(converse(iPr_def_12),complement(iPr_def_12))) = zero,
inference(light_normalisation,[status(thm)],[c_11842,c_107]) ).
tcf(c_11846,plain,
! [X0: $i] : join(iPr_def_12,composition(X0,top)) = composition(join(X0,iPr_def_12),top),
inference(theory_normalisation,[status(thm)],[c_11841,c_50,c_49]) ).
tcf(c_11855,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11579,c_11762,c_11774,c_11779]) ).
tcf(c_11867,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_11),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_2326,c_375]) ).
tcf(c_11868,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_11),X1)) = join(join(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_2326,c_50]) ).
tcf(c_11871,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_11))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_2326,c_191]) ).
tcf(c_11872,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_11)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2326,c_191]) ).
tcf(c_11873,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,iPr_def_11),join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_2326,c_11158]) ).
tcf(c_11875,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_2326,c_391]) ).
tcf(c_11893,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_11867,c_50,c_49]) ).
tcf(c_11895,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,X1))) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_11868,c_50,c_49]) ).
tcf(c_11896,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_11))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_11873,c_50,c_49]) ).
tcf(c_11899,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,complement(composition(converse(X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_1680]) ).
tcf(c_11900,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_985,c_1680]) ).
tcf(c_11901,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_221,c_1680]) ).
tcf(c_11902,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_765,c_1680]) ).
tcf(c_11903,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_222,c_1680]) ).
tcf(c_11904,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_225,c_1680]) ).
tcf(c_11905,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_226,c_1680]) ).
tcf(c_11906,plain,
join(iPr_def_10,composition(top,complement(composition(top,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_1680]) ).
tcf(c_11907,plain,
join(iPr_def_10,composition(zero,complement(composition(zero,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_1680]) ).
tcf(c_11908,plain,
join(iPr_def_10,composition(one,complement(composition(one,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_1680]) ).
tcf(c_11909,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_1723,c_1680]) ).
tcf(c_11910,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_1729,c_1680]) ).
tcf(c_11911,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_2357,c_1680]) ).
tcf(c_11912,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_52,c_1680]) ).
tcf(c_11913,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_1680]) ).
tcf(c_11914,plain,
join(iPr_def_10,composition(converse(one),complement(iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_1680]) ).
tcf(c_11915,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),complement(join(iPr_def_11,composition(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_1680]) ).
tcf(c_11916,plain,
join(iPr_def_10,composition(converse(zero),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_1680]) ).
tcf(c_11917,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_1680]) ).
tcf(c_11919,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_1680,c_375]) ).
tcf(c_11920,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_1680,c_50]) ).
tcf(c_11921,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_1680,c_191]) ).
tcf(c_11923,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,iPr_def_11))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1680,c_392]) ).
tcf(c_11925,plain,
join(iPr_def_10,composition(one,iPr_def_10)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11914,c_1671,c_1689]) ).
tcf(c_11928,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_11919,c_50,c_49]) ).
tcf(c_11929,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_11928,c_192]) ).
tcf(c_11930,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,iPr_def_11))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11923,c_193]) ).
tcf(c_11931,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),complement(join(iPr_def_11,composition(X0,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11915,c_1723]) ).
tcf(c_11938,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(X0)))) = top,
inference(light_normalisation,[status(thm)],[c_4808,c_7015]) ).
tcf(c_11944,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,X1))) = top,
inference(superposition,[status(thm)],[c_191,c_11838]) ).
tcf(c_11952,plain,
join(iPr_def_10,composition(top,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_11631,c_11838]) ).
tcf(c_11955,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_12,X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_11838,c_50]) ).
tcf(c_11956,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_11838,c_191]) ).
tcf(c_11958,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_12,X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11838,c_392]) ).
tcf(c_11963,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_11955,c_50,c_49]) ).
tcf(c_11965,plain,
composition(iPr_def_12,one) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_53,c_11840]) ).
tcf(c_11966,plain,
composition(iPr_def_12,complement(composition(converse(top),top))) = composition(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_9546,c_11840]) ).
tcf(c_11967,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_11840,c_54]) ).
tcf(c_11968,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_11840,c_52]) ).
tcf(c_11969,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_11840,c_54]) ).
tcf(c_11970,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_11840,c_1767]) ).
tcf(c_11971,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_11840,c_76]) ).
tcf(c_11975,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_11970,c_50,c_49]) ).
tcf(c_11976,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_11969,c_50,c_49]) ).
tcf(c_11977,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_11967,c_547]) ).
tcf(c_11981,plain,
join(iPr_def_10,join(composition(top,iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_11759,c_375]) ).
tcf(c_11982,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_11759,c_50]) ).
tcf(c_11983,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_11759,c_191]) ).
tcf(c_11985,plain,
join(iPr_def_10,composition(composition(top,iPr_def_11),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11759,c_392]) ).
tcf(c_11986,plain,
join(iPr_def_10,join(complement(top),composition(top,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_11981,c_50,c_49]) ).
tcf(c_11987,plain,
join(iPr_def_10,join(zero,composition(top,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_11986,c_107]) ).
tcf(c_11988,plain,
join(iPr_def_10,composition(composition(top,iPr_def_11),top)) = top,
inference(light_normalisation,[status(thm)],[c_11985,c_11762]) ).
tcf(c_11990,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_11),X0)) = top,
inference(light_normalisation,[status(thm)],[c_11982,c_7096]) ).
tcf(c_11994,plain,
! [X0: $i] : join(iPr_def_10,composition(X0,composition(complement(composition(converse(X0),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_55,c_1679]) ).
tcf(c_11995,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(converse(X1),X0),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_985,c_1679]) ).
tcf(c_11996,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(converse(X0),X1),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_221,c_1679]) ).
tcf(c_11997,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(X1)),composition(complement(composition(join(X1,converse(X0)),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_765,c_1679]) ).
tcf(c_11998,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(X0),X1),composition(complement(composition(join(X0,converse(X1)),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_1679]) ).
tcf(c_11999,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(X0,converse(X1)),composition(complement(composition(composition(X1,converse(X0)),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_1679]) ).
tcf(c_12000,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),X1),composition(complement(composition(composition(converse(X1),X0),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_226,c_1679]) ).
tcf(c_12001,plain,
join(iPr_def_10,composition(top,composition(complement(composition(top,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2343,c_1679]) ).
tcf(c_12002,plain,
join(iPr_def_10,composition(zero,composition(complement(composition(zero,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1950,c_1679]) ).
tcf(c_12003,plain,
join(iPr_def_10,composition(one,composition(complement(composition(one,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1689,c_1679]) ).
tcf(c_12004,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(one,X0),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_1679]) ).
tcf(c_12005,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(composition(join(X0,one),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_1679]) ).
tcf(c_12006,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),top),composition(complement(composition(composition(top,X0),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_1679]) ).
tcf(c_12007,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),composition(complement(composition(X0,composition(X1,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_1679]) ).
tcf(c_12008,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_10)),composition(complement(zero),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_1679]) ).
tcf(c_12009,plain,
join(iPr_def_10,composition(converse(one),composition(complement(iPr_def_11),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_1679]) ).
tcf(c_12010,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(one,X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_1679]) ).
tcf(c_12011,plain,
join(iPr_def_10,composition(converse(zero),composition(complement(zero),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8217,c_1679]) ).
tcf(c_12012,plain,
join(iPr_def_10,composition(converse(converse(complement(iPr_def_12))),composition(complement(zero),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_1679]) ).
tcf(c_12014,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1679,c_375]) ).
tcf(c_12015,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1679,c_50]) ).
tcf(c_12016,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),top)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_1679,c_191]) ).
tcf(c_12018,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1679,c_392]) ).
tcf(c_12023,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_12014,c_50,c_49]) ).
tcf(c_12024,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)))) = top,
inference(light_normalisation,[status(thm)],[c_12023,c_192]) ).
tcf(c_12026,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(X0)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_12010,c_1723]) ).
tcf(c_12033,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,X0),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_54,c_11990]) ).
tcf(c_12035,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_11990]) ).
tcf(c_12042,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1767,c_11990]) ).
tcf(c_12044,plain,
join(iPr_def_10,composition(top,composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_11631,c_11990]) ).
tcf(c_12046,plain,
! [X0: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_11),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_11990,c_375]) ).
tcf(c_12047,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_11990,c_50]) ).
tcf(c_12048,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_11990,c_191]) ).
tcf(c_12050,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(top,iPr_def_11),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11990,c_392]) ).
tcf(c_12053,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),join(X0,composition(top,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_12046,c_50,c_49]) ).
tcf(c_12054,plain,
! [X0: $i] : join(iPr_def_10,join(zero,join(X0,composition(top,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_12053,c_107]) ).
tcf(c_12055,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(top,iPr_def_11),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_12050,c_11762]) ).
tcf(c_12057,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_12047,c_50,c_49]) ).
tcf(c_12084,plain,
! [X0: $i] : composition(join(X0,one),complement(composition(converse(X0),top))) = join(complement(composition(converse(X0),top)),zero),
inference(superposition,[status(thm)],[c_9546,c_1782]) ).
tcf(c_12092,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,X2),X0)) = composition(join(X1,join(X2,one)),X0),
inference(superposition,[status(thm)],[c_50,c_1782]) ).
tcf(c_12096,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,one),X0)) = composition(join(X1,one),X0),
inference(superposition,[status(thm)],[c_1782,c_7878]) ).
tcf(c_12097,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(X1,X0),complement(composition(join(X1,one),X0)))) = top,
inference(superposition,[status(thm)],[c_1782,c_375]) ).
tcf(c_12098,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_1782,c_50]) ).
tcf(c_12100,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_1782,c_50]) ).
tcf(c_12101,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,one),complement(X0))) = top,
inference(superposition,[status(thm)],[c_1782,c_7124]) ).
tcf(c_12102,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_1782,c_191]) ).
tcf(c_12104,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(X1,converse(X0)))) = converse(composition(join(X1,one),converse(X0))),
inference(superposition,[status(thm)],[c_1782,c_221]) ).
tcf(c_12107,plain,
! [X0: $i] : join(one,composition(join(X0,one),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_1782,c_9175]) ).
tcf(c_12109,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1782,c_11990]) ).
tcf(c_12111,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X0)),X2) = composition(join(X1,one),composition(X0,X2)),
inference(superposition,[status(thm)],[c_1782,c_52]) ).
tcf(c_12112,plain,
! [X0: $i] : join(one,composition(X0,one)) = join(X0,one),
inference(superposition,[status(thm)],[c_1782,c_53]) ).
tcf(c_12113,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),join(X1,composition(X2,X1))) = composition(join(X0,join(X2,one)),X1),
inference(superposition,[status(thm)],[c_1782,c_54]) ).
tcf(c_12114,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,composition(X1,X0))) = composition(join(join(X1,one),one),X0),
inference(superposition,[status(thm)],[c_1782,c_1782]) ).
tcf(c_12115,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,composition(X1,X0))) = composition(join(one,join(X1,one)),X0),
inference(superposition,[status(thm)],[c_1782,c_1767]) ).
tcf(c_12116,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(X1,one)),complement(join(X0,composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1782,c_76]) ).
tcf(c_12117,plain,
! [X0: $i] : composition(converse(join(X0,one)),complement(join(top,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_1782,c_9545]) ).
tcf(c_12118,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(X0,one)),complement(join(iPr_def_10,composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1782,c_349]) ).
tcf(c_12121,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(X0,one)),composition(complement(join(iPr_def_11,composition(X0,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1782,c_1679]) ).
tcf(c_12122,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(X0,one)),complement(join(iPr_def_11,composition(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1782,c_1680]) ).
tcf(c_12139,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,composition(X1,X0))) = composition(join(X1,join(one,one)),X0),
inference(theory_normalisation,[status(thm)],[c_12114,c_50,c_49]) ).
tcf(c_12150,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),composition(X2,X0))) = composition(join(X1,join(X2,one)),X0),
inference(theory_normalisation,[status(thm)],[c_12113,c_50,c_49]) ).
tcf(c_12152,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_12084,c_50,c_49]) ).
tcf(c_12154,plain,
! [X0: $i] : join(zero,complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1873,c_7732,c_7769]) ).
tcf(c_12163,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_50,c_11837]) ).
tcf(c_12170,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_11837,c_375]) ).
tcf(c_12171,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_12),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_11837,c_50]) ).
tcf(c_12174,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_11837,c_191]) ).
tcf(c_12175,plain,
! [X0: $i] : join(X0,join(iPr_def_10,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_11837,c_191]) ).
tcf(c_12176,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_12),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11837,c_392]) ).
tcf(c_12180,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_12170,c_50,c_49]) ).
tcf(c_12181,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,zero))) = top,
inference(light_normalisation,[status(thm)],[c_12180,c_107]) ).
tcf(c_12184,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_12171,c_50,c_49]) ).
tcf(c_12186,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_11843,c_54]) ).
tcf(c_12187,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_11843,c_52]) ).
tcf(c_12188,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_11843,c_54]) ).
tcf(c_12190,plain,
composition(join(one,converse(iPr_def_12)),complement(iPr_def_12)) = join(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_11843,c_1767]) ).
tcf(c_12191,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_11843,c_76]) ).
tcf(c_12192,plain,
composition(converse(complement(iPr_def_12)),iPr_def_12) = converse(zero),
inference(superposition,[status(thm)],[c_11843,c_226]) ).
tcf(c_12194,plain,
composition(converse(complement(iPr_def_12)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_12192,c_1950]) ).
tcf(c_12195,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_12187,c_8217]) ).
tcf(c_12196,plain,
composition(join(one,converse(iPr_def_12)),complement(iPr_def_12)) = join(zero,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_12190,c_50,c_49]) ).
tcf(c_12198,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_12191,c_1431]) ).
tcf(c_12199,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_12188,c_50,c_49]) ).
tcf(c_12201,plain,
join(iPr_def_10,join(composition(top,iPr_def_12),complement(top))) = top,
inference(superposition,[status(thm)],[c_11952,c_375]) ).
tcf(c_12202,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_12),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_11952,c_50]) ).
tcf(c_12203,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_12))) = join(X0,top),
inference(superposition,[status(thm)],[c_11952,c_191]) ).
tcf(c_12205,plain,
join(iPr_def_10,composition(composition(top,iPr_def_12),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11952,c_392]) ).
tcf(c_12206,plain,
join(iPr_def_10,join(complement(top),composition(top,iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_12201,c_50,c_49]) ).
tcf(c_12208,plain,
join(iPr_def_10,composition(composition(top,iPr_def_12),top)) = top,
inference(light_normalisation,[status(thm)],[c_12205,c_11762]) ).
tcf(c_12209,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(top,iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_12203,c_7015]) ).
tcf(c_12210,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_12),X0)) = top,
inference(light_normalisation,[status(thm)],[c_12202,c_7096]) ).
tcf(c_12212,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),complement(join(iPr_def_10,composition(converse(X0),top)))) = zero,
inference(superposition,[status(thm)],[c_765,c_9562]) ).
tcf(c_12213,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),complement(join(iPr_def_10,composition(converse(X0),top)))) = zero,
inference(superposition,[status(thm)],[c_222,c_9562]) ).
tcf(c_12214,plain,
composition(join(one,converse(iPr_def_10)),complement(join(iPr_def_10,composition(one,top)))) = zero,
inference(superposition,[status(thm)],[c_1729,c_9562]) ).
tcf(c_12218,plain,
composition(converse(top),complement(join(iPr_def_10,composition(complement(iPr_def_10),top)))) = zero,
inference(superposition,[status(thm)],[c_59,c_9562]) ).
tcf(c_12219,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(join(X0,X1),top)))) = zero,
inference(superposition,[status(thm)],[c_191,c_9562]) ).
tcf(c_12220,plain,
composition(converse(top),complement(join(iPr_def_10,composition(iPr_def_11,top)))) = zero,
inference(superposition,[status(thm)],[c_209,c_9562]) ).
tcf(c_12221,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,complement(join(iPr_def_10,X0))),top)))) = zero,
inference(superposition,[status(thm)],[c_375,c_9562]) ).
tcf(c_12222,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(complement(iPr_def_10),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_7124,c_9562]) ).
tcf(c_12223,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(iPr_def_11,X0),top)))) = zero,
inference(superposition,[status(thm)],[c_7123,c_9562]) ).
tcf(c_12224,plain,
composition(converse(top),complement(join(iPr_def_10,composition(top,top)))) = zero,
inference(superposition,[status(thm)],[c_7015,c_9562]) ).
tcf(c_12225,plain,
composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(zero,top)))) = zero,
inference(superposition,[status(thm)],[c_1429,c_9562]) ).
tcf(c_12226,plain,
composition(converse(top),complement(join(iPr_def_10,composition(iPr_def_12,top)))) = zero,
inference(superposition,[status(thm)],[c_11774,c_9562]) ).
tcf(c_12227,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,iPr_def_11),top)))) = zero,
inference(superposition,[status(thm)],[c_7122,c_9562]) ).
tcf(c_12228,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,iPr_def_11)),top)))) = zero,
inference(superposition,[status(thm)],[c_7305,c_9562]) ).
tcf(c_12229,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(iPr_def_11,X1)),top)))) = zero,
inference(superposition,[status(thm)],[c_7698,c_9562]) ).
tcf(c_12230,plain,
composition(converse(top),complement(join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),top)))) = zero,
inference(superposition,[status(thm)],[c_2345,c_9562]) ).
tcf(c_12231,plain,
composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(iPr_def_10,top)))) = zero,
inference(superposition,[status(thm)],[c_7769,c_9562]) ).
tcf(c_12232,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),top)))) = zero,
inference(superposition,[status(thm)],[c_1679,c_9562]) ).
tcf(c_12233,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,iPr_def_11))),top)))) = zero,
inference(superposition,[status(thm)],[c_1680,c_9562]) ).
tcf(c_12234,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(join(iPr_def_10,X0),top)))) = zero,
inference(superposition,[status(thm)],[c_7878,c_9562]) ).
tcf(c_12235,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(iPr_def_12,X0),top)))) = zero,
inference(superposition,[status(thm)],[c_11838,c_9562]) ).
tcf(c_12236,plain,
composition(converse(composition(top,iPr_def_10)),complement(join(iPr_def_10,composition(composition(complement(one),iPr_def_10),top)))) = zero,
inference(superposition,[status(thm)],[c_11631,c_9562]) ).
tcf(c_12237,plain,
composition(converse(top),complement(join(iPr_def_10,composition(composition(top,iPr_def_11),top)))) = zero,
inference(superposition,[status(thm)],[c_11759,c_9562]) ).
tcf(c_12238,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,iPr_def_12),top)))) = zero,
inference(superposition,[status(thm)],[c_11837,c_9562]) ).
tcf(c_12239,plain,
composition(converse(top),complement(join(iPr_def_10,composition(composition(top,iPr_def_12),top)))) = zero,
inference(superposition,[status(thm)],[c_11952,c_9562]) ).
tcf(c_12240,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(composition(top,iPr_def_11),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_11990,c_9562]) ).
tcf(c_12241,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,composition(X0,X1))),complement(join(iPr_def_10,composition(X0,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_52,c_9562]) ).
tcf(c_12242,plain,
composition(converse(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_10,iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_116,c_9562]) ).
tcf(c_12243,plain,
composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_193,c_9562]) ).
tcf(c_12244,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(iPr_def_11,X0))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_391,c_9562]) ).
tcf(c_12245,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(iPr_def_10,X0))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_392,c_9562]) ).
tcf(c_12246,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(X0,iPr_def_11))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_402,c_9562]) ).
tcf(c_12247,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_401,c_9562]) ).
tcf(c_12248,plain,
composition(converse(join(iPr_def_10,top)),complement(join(iPr_def_10,top))) = zero,
inference(superposition,[status(thm)],[c_11762,c_9562]) ).
tcf(c_12249,plain,
composition(converse(join(iPr_def_10,one)),complement(join(iPr_def_10,top))) = zero,
inference(superposition,[status(thm)],[c_1708,c_9562]) ).
tcf(c_12250,plain,
composition(converse(join(iPr_def_10,iPr_def_12)),complement(join(iPr_def_10,iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_11779,c_9562]) ).
tcf(c_12251,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(one,X0))),complement(join(iPr_def_10,join(top,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_1767,c_9562]) ).
tcf(c_12252,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(X0,one))),complement(join(iPr_def_10,join(top,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_1782,c_9562]) ).
tcf(c_12253,plain,
composition(converse(join(iPr_def_10,zero)),complement(join(iPr_def_10,zero))) = zero,
inference(superposition,[status(thm)],[c_8217,c_9562]) ).
tcf(c_12254,plain,
! [X0: $i,X1: $i] : composition(join(converse(join(iPr_def_10,X0)),X1),complement(join(iPr_def_10,composition(X0,top)))) = join(zero,composition(X1,complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_9562,c_54]) ).
tcf(c_12255,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,X0)),composition(complement(join(iPr_def_10,composition(X0,top))),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_9562,c_52]) ).
tcf(c_12256,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(X1,top)))) = join(composition(X0,complement(join(iPr_def_10,composition(X1,top)))),zero),
inference(superposition,[status(thm)],[c_9562,c_54]) ).
tcf(c_12258,plain,
! [X0: $i] : composition(join(one,converse(join(iPr_def_10,X0))),complement(join(iPr_def_10,composition(X0,top)))) = join(complement(join(iPr_def_10,composition(X0,top))),zero),
inference(superposition,[status(thm)],[c_9562,c_1767]) ).
tcf(c_12259,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(converse(join(iPr_def_10,X0))),complement(zero))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_9562,c_76]) ).
tcf(c_12260,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_10,composition(X0,top)))),join(iPr_def_10,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_9562,c_226]) ).
tcf(c_12263,plain,
composition(converse(iPr_def_10),complement(join(iPr_def_10,iPr_def_10))) = zero,
inference(light_normalisation,[status(thm)],[c_12231,c_193]) ).
tcf(c_12265,plain,
composition(top,complement(join(iPr_def_10,top))) = zero,
inference(light_normalisation,[status(thm)],[c_12224,c_2343,c_11762]) ).
tcf(c_12274,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_10,composition(X0,top)))),join(iPr_def_10,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_12260,c_1950]) ).
tcf(c_12278,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_12234,c_392]) ).
tcf(c_12281,plain,
composition(converse(composition(top,iPr_def_10)),complement(composition(composition(top,iPr_def_10),top))) = zero,
inference(light_normalisation,[status(thm)],[c_12236,c_11763]) ).
tcf(c_12285,plain,
! [X0: $i] : composition(join(one,converse(join(iPr_def_10,X0))),complement(join(iPr_def_10,composition(X0,top)))) = join(zero,complement(join(iPr_def_10,composition(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_12258,c_50,c_49]) ).
tcf(c_12287,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(converse(join(iPr_def_10,X0))),top)) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(light_normalisation,[status(thm)],[c_12259,c_1431]) ).
tcf(c_12288,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(X1,top)))) = join(zero,composition(X0,complement(join(iPr_def_10,composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_12256,c_50,c_49]) ).
tcf(c_12314,plain,
join(zero,complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_812,c_107,c_2343]) ).
tcf(c_12315,plain,
complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_12314,c_1336]) ).
tcf(c_12316,plain,
join(complement(one),composition(converse(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))),iPr_def_10)) = complement(one),
inference(superposition,[status(thm)],[c_12315,c_351]) ).
tcf(c_12317,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_12315,c_7732]) ).
tcf(c_12318,plain,
! [X0: $i] : join(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),join(iPr_def_10,X0)) = top,
inference(superposition,[status(thm)],[c_12315,c_7124]) ).
tcf(c_12319,plain,
join(iPr_def_11,complement(join(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_12315,c_1888]) ).
tcf(c_12320,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12315,c_76]) ).
tcf(c_12322,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))),
inference(superposition,[status(thm)],[c_12315,c_10560]) ).
tcf(c_12324,plain,
join(iPr_def_11,complement(join(converse(complement(converse(iPr_def_11))),join(iPr_def_11,iPr_def_10)))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_12315,c_1888]) ).
tcf(c_12325,plain,
join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_12315,c_375]) ).
tcf(c_12326,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12317,c_192]) ).
tcf(c_12327,plain,
join(iPr_def_10,join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_12325,c_50,c_49]) ).
tcf(c_12329,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_12318,c_50,c_49]) ).
tcf(c_12330,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_12322,c_50,c_49]) ).
tcf(c_12331,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_12330,c_107,c_209]) ).
tcf(c_12332,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_12324,c_50,c_49]) ).
tcf(c_12333,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_10,iPr_def_11)),complement(converse(complement(converse(iPr_def_11))))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_12319,c_50,c_49]) ).
tcf(c_12334,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_11,join(zero,complement(converse(complement(converse(iPr_def_11))))))))) = top,
inference(light_normalisation,[status(thm)],[c_12333,c_107,c_209]) ).
tcf(c_12337,plain,
join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12326,c_375]) ).
tcf(c_12338,plain,
! [X0: $i] : join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_12326,c_50]) ).
tcf(c_12339,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(converse(complement(converse(iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_12326,c_191]) ).
tcf(c_12341,plain,
join(iPr_def_11,complement(join(complement(converse(complement(converse(iPr_def_11)))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_12326,c_11158]) ).
tcf(c_12343,plain,
join(iPr_def_12,composition(complement(converse(complement(converse(iPr_def_11)))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12326,c_391]) ).
tcf(c_12346,plain,
join(iPr_def_11,complement(join(converse(complement(converse(iPr_def_11))),join(iPr_def_11,complement(iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12326,c_1888]) ).
tcf(c_12348,plain,
join(iPr_def_11,join(complement(iPr_def_11),complement(converse(complement(converse(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_12337,c_50,c_49]) ).
tcf(c_12349,plain,
join(iPr_def_11,join(iPr_def_10,complement(converse(complement(converse(iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_12348,c_1671]) ).
tcf(c_12352,plain,
join(iPr_def_12,composition(complement(converse(complement(converse(iPr_def_11)))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_12343,c_116]) ).
tcf(c_12353,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),converse(complement(converse(iPr_def_11))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_12346,c_50,c_49]) ).
tcf(c_12354,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,converse(complement(converse(iPr_def_11))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12353,c_1671]) ).
tcf(c_12355,plain,
join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_11,converse(complement(converse(iPr_def_11))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_12354,c_50,c_49]) ).
tcf(c_12356,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_12341,c_50,c_49]) ).
tcf(c_12364,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(converse(complement(converse(iPr_def_11)))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_49,c_12338]) ).
tcf(c_12367,plain,
join(iPr_def_11,complement(complement(converse(complement(converse(iPr_def_11)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_59,c_12338]) ).
tcf(c_12368,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_76,c_12338]) ).
tcf(c_12369,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(converse(complement(converse(iPr_def_11)))),X1))) = join(iPr_def_11,join(X0,X1)),
inference(superposition,[status(thm)],[c_191,c_12338]) ).
tcf(c_12370,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(complement(converse(complement(converse(iPr_def_11)))),X0)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_375,c_12338]) ).
tcf(c_12371,plain,
! [X0: $i] : join(iPr_def_11,join(complement(complement(converse(complement(converse(iPr_def_11))))),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7124,c_12338]) ).
tcf(c_12373,plain,
join(iPr_def_11,converse(complement(converse(complement(converse(complement(converse(iPr_def_11)))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2345,c_12338]) ).
tcf(c_12374,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),complement(converse(complement(converse(iPr_def_11)))))) = join(iPr_def_11,composition(X0,complement(converse(complement(converse(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1782,c_12338]) ).
tcf(c_12375,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),complement(converse(complement(converse(iPr_def_11)))))) = join(iPr_def_11,composition(X0,complement(converse(complement(converse(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_1767,c_12338]) ).
tcf(c_12376,plain,
join(iPr_def_11,composition(complement(one),complement(converse(complement(converse(iPr_def_11)))))) = join(iPr_def_11,composition(top,complement(converse(complement(converse(iPr_def_11)))))),
inference(superposition,[status(thm)],[c_11631,c_12338]) ).
tcf(c_12378,plain,
! [X0: $i] : join(iPr_def_11,join(join(complement(converse(complement(converse(iPr_def_11)))),X0),complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_12338,c_375]) ).
tcf(c_12380,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(converse(complement(converse(iPr_def_11)))),X1))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_12338,c_191]) ).
tcf(c_12382,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(converse(complement(converse(iPr_def_11)))),X0),join(iPr_def_11,X0)))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_12338,c_11158]) ).
tcf(c_12384,plain,
! [X0: $i] : join(iPr_def_12,composition(join(complement(converse(complement(converse(iPr_def_11)))),X0),top)) = composition(join(iPr_def_11,X0),top),
inference(superposition,[status(thm)],[c_12338,c_391]) ).
tcf(c_12387,plain,
join(iPr_def_11,complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))) = top,
inference(superposition,[status(thm)],[c_12338,c_375]) ).
tcf(c_12390,plain,
join(complement(converse(complement(converse(iPr_def_11)))),iPr_def_11) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_12338,c_2326]) ).
tcf(c_12391,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_12338,c_4183]) ).
tcf(c_12393,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_12390,c_50,c_49]) ).
tcf(c_12395,plain,
! [X0: $i] : join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),join(X0,complement(join(iPr_def_11,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_12378,c_50,c_49]) ).
tcf(c_12396,plain,
! [X0: $i] : join(iPr_def_12,composition(join(complement(converse(complement(converse(iPr_def_11)))),X0),top)) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_12384,c_391]) ).
tcf(c_12398,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,complement(converse(complement(converse(iPr_def_11))))))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_12382,c_50,c_49]) ).
tcf(c_12406,plain,
! [X0: $i] : join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),X0)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_12339]) ).
tcf(c_12409,plain,
join(converse(complement(converse(iPr_def_11))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_59,c_12339]) ).
tcf(c_12410,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = join(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1336,c_12339]) ).
tcf(c_12414,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,complement(converse(complement(converse(iPr_def_11))))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_12339,c_375]) ).
tcf(c_12418,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(converse(complement(converse(iPr_def_11))))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_12339,c_191]) ).
tcf(c_12419,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_12339,c_191]) ).
tcf(c_12420,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,complement(converse(complement(converse(iPr_def_11))))),join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_12339,c_11158]) ).
tcf(c_12422,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(converse(complement(converse(iPr_def_11))))),top)) = composition(join(X0,iPr_def_11),top),
inference(superposition,[status(thm)],[c_12339,c_391]) ).
tcf(c_12437,plain,
join(iPr_def_11,converse(complement(converse(iPr_def_11)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_12409,c_50,c_49]) ).
tcf(c_12440,plain,
join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_12410,c_50,c_49]) ).
tcf(c_12441,plain,
join(iPr_def_11,zero) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_12440,c_12393]) ).
tcf(c_12445,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(converse(complement(converse(iPr_def_11)))),complement(join(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_12414,c_50,c_49]) ).
tcf(c_12446,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(converse(complement(converse(iPr_def_11))))),top)) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_12422,c_402]) ).
tcf(c_12449,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,complement(converse(complement(converse(iPr_def_11))))))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_12420,c_50,c_49]) ).
tcf(c_12451,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))))))) = top,
inference(light_normalisation,[status(thm)],[c_300,c_12441]) ).
tcf(c_12476,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_50,c_12163]) ).
tcf(c_12483,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_12163,c_375]) ).
tcf(c_12484,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_12163,c_50]) ).
tcf(c_12487,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_12163,c_191]) ).
tcf(c_12488,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_12163,c_191]) ).
tcf(c_12489,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,iPr_def_12)),top)))) = zero,
inference(superposition,[status(thm)],[c_12163,c_9562]) ).
tcf(c_12490,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,iPr_def_12)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12163,c_392]) ).
tcf(c_12494,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_12483,c_50,c_49]) ).
tcf(c_12495,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_12494,c_107]) ).
tcf(c_12496,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,iPr_def_12)),top)) = top,
inference(light_normalisation,[status(thm)],[c_12490,c_11762]) ).
tcf(c_12498,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_12484,c_50,c_49]) ).
tcf(c_12499,plain,
! [X0: $i,X1: $i] : composition(top,complement(join(iPr_def_10,composition(join(X0,join(X1,iPr_def_12)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_12489,c_2343]) ).
tcf(c_12504,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,X0),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_54,c_12210]) ).
tcf(c_12506,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(top,iPr_def_12),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_12210]) ).
tcf(c_12513,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),composition(top,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1782,c_12210]) ).
tcf(c_12514,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),composition(top,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1767,c_12210]) ).
tcf(c_12516,plain,
join(iPr_def_10,composition(top,composition(top,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_11631,c_12210]) ).
tcf(c_12518,plain,
! [X0: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_12),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_12210,c_375]) ).
tcf(c_12519,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_12210,c_50]) ).
tcf(c_12520,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_12210,c_191]) ).
tcf(c_12522,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(composition(top,iPr_def_12),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_12210,c_9562]) ).
tcf(c_12523,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(top,iPr_def_12),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12210,c_392]) ).
tcf(c_12527,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),join(X0,composition(top,iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_12518,c_50,c_49]) ).
tcf(c_12528,plain,
! [X0: $i] : join(iPr_def_10,join(zero,join(X0,composition(top,iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_12527,c_107]) ).
tcf(c_12529,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(top,iPr_def_12),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_12523,c_11762]) ).
tcf(c_12531,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_12519,c_50,c_49]) ).
tcf(c_12532,plain,
! [X0: $i] : composition(top,complement(join(iPr_def_10,composition(join(composition(top,iPr_def_12),X0),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_12522,c_2343]) ).
tcf(c_12534,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(complement(iPr_def_12),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_2771,c_8217]) ).
tcf(c_12536,plain,
composition(converse(iPr_def_11),zero) = zero,
inference(superposition,[status(thm)],[c_8201,c_12534]) ).
tcf(c_12538,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_12534,c_54]) ).
tcf(c_12539,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_12534,c_52]) ).
tcf(c_12540,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_12534,c_54]) ).
tcf(c_12542,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_12534,c_1767]) ).
tcf(c_12543,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_12534,c_76]) ).
tcf(c_12544,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_12534,c_226]) ).
tcf(c_12545,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_12544,c_1950]) ).
tcf(c_12546,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_12542,c_50,c_49]) ).
tcf(c_12548,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_12543,c_1431]) ).
tcf(c_12549,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_12540,c_50,c_49]) ).
tcf(c_12583,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_12194,c_54]) ).
tcf(c_12584,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_12,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_12194,c_52]) ).
tcf(c_12585,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_12194,c_54]) ).
tcf(c_12586,plain,
join(complement(iPr_def_12),composition(converse(converse(complement(iPr_def_12))),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12194,c_76]) ).
tcf(c_12587,plain,
composition(converse(iPr_def_12),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_12194,c_226]) ).
tcf(c_12589,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_12,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_12584,c_8217]) ).
tcf(c_12590,plain,
join(complement(iPr_def_12),composition(converse(converse(complement(iPr_def_12))),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_12586,c_1431]) ).
tcf(c_12591,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_12585,c_50,c_49]) ).
tcf(c_12596,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(X0,converse(X1)),complement(composition(X1,composition(converse(X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_225,c_433]) ).
tcf(c_12597,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(converse(X0),X1),complement(composition(converse(X1),composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_226,c_433]) ).
tcf(c_12598,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(converse(X0),top),complement(composition(top,composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2357,c_433]) ).
tcf(c_12599,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(composition(X0,composition(X1,X2))),complement(composition(composition(X0,X1),composition(X2,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_52,c_433]) ).
tcf(c_12600,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,composition(one,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_53,c_433]) ).
tcf(c_12601,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(composition(X0,X1))),complement(composition(converse(X1),composition(converse(X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_57,c_433]) ).
tcf(c_12602,plain,
join(iPr_def_11,composition(converse(iPr_def_12),complement(composition(iPr_def_11,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_116,c_433]) ).
tcf(c_12603,plain,
join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_193,c_433]) ).
tcf(c_12604,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(X0),composition(complement(composition(X0,top)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9545,c_433]) ).
tcf(c_12605,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_11),composition(complement(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1359,c_433]) ).
tcf(c_12606,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_10),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1360,c_433]) ).
tcf(c_12607,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(iPr_def_12,X0)),complement(composition(iPr_def_11,composition(composition(top,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_382,c_433]) ).
tcf(c_12608,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(iPr_def_10,X0)),complement(composition(iPr_def_10,composition(composition(top,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_383,c_433]) ).
tcf(c_12609,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_12,composition(X0,top))),complement(composition(join(iPr_def_11,X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_391,c_433]) ).
tcf(c_12610,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_392,c_433]) ).
tcf(c_12611,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_12,composition(X0,top))),complement(composition(join(X0,iPr_def_11),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_402,c_433]) ).
tcf(c_12612,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_401,c_433]) ).
tcf(c_12613,plain,
join(iPr_def_11,composition(converse(top),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11762,c_433]) ).
tcf(c_12614,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(join(iPr_def_10,X0)),composition(complement(join(iPr_def_10,composition(X0,top))),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9562,c_433]) ).
tcf(c_12615,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(one,composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_433]) ).
tcf(c_12616,plain,
join(iPr_def_11,composition(converse(iPr_def_12),complement(composition(iPr_def_12,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11779,c_433]) ).
tcf(c_12617,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(X0,composition(zero,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8201,c_433]) ).
tcf(c_12618,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(X0,composition(X1,X0))),complement(composition(join(one,X1),composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1767,c_433]) ).
tcf(c_12619,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(X0,composition(X1,X0))),complement(composition(join(X1,one),composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1782,c_433]) ).
tcf(c_12620,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(zero,composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8217,c_433]) ).
tcf(c_12621,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_11),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3196,c_433]) ).
tcf(c_12622,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_11),composition(composition(complement(iPr_def_12),X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12534,c_433]) ).
tcf(c_12623,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(complement(iPr_def_12)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2775,c_433]) ).
tcf(c_12624,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_10),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7055,c_433]) ).
tcf(c_12625,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_10),composition(composition(iPr_def_12,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8911,c_433]) ).
tcf(c_12626,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_12),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7459,c_433]) ).
tcf(c_12627,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_12),composition(composition(iPr_def_10,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8927,c_433]) ).
tcf(c_12628,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(X0,composition(complement(composition(converse(X0),top)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9546,c_433]) ).
tcf(c_12629,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(iPr_def_12,X0)),complement(composition(iPr_def_12,composition(composition(top,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11840,c_433]) ).
tcf(c_12630,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_12),composition(complement(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11843,c_433]) ).
tcf(c_12631,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(converse(complement(iPr_def_12)),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12194,c_433]) ).
tcf(c_12632,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(composition(composition(X0,X1),X2)),complement(composition(X0,composition(X1,composition(X2,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_52,c_433]) ).
tcf(c_12633,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_11,top)),complement(composition(iPr_def_12,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_382,c_433]) ).
tcf(c_12634,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,top)),complement(composition(iPr_def_10,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_383,c_433]) ).
tcf(c_12635,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(one,X0)),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_433]) ).
tcf(c_12636,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(zero,X0)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8217,c_433]) ).
tcf(c_12637,plain,
join(iPr_def_11,composition(converse(composition(converse(iPr_def_11),complement(iPr_def_12))),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12534,c_433]) ).
tcf(c_12638,plain,
join(iPr_def_11,composition(converse(composition(converse(iPr_def_10),iPr_def_12)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8911,c_433]) ).
tcf(c_12639,plain,
join(iPr_def_11,composition(converse(composition(converse(iPr_def_12),iPr_def_10)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8927,c_433]) ).
tcf(c_12640,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_12,top)),complement(composition(iPr_def_12,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11840,c_433]) ).
tcf(c_12641,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(composition(X0,composition(X1,X2))),complement(composition(X0,composition(X1,composition(X2,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_52,c_433]) ).
tcf(c_12642,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,one)),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_433]) ).
tcf(c_12643,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,join(one,X1))),complement(composition(X0,join(iPr_def_10,composition(X1,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1767,c_433]) ).
tcf(c_12644,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,join(X1,one))),complement(composition(X0,join(iPr_def_10,composition(X1,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1782,c_433]) ).
tcf(c_12645,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,zero)),complement(composition(X0,zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8217,c_433]) ).
tcf(c_12646,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3196,c_433]) ).
tcf(c_12647,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7459,c_433]) ).
tcf(c_12649,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_433,c_375]) ).
tcf(c_12650,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_433,c_50]) ).
tcf(c_12651,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,iPr_def_10)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_433,c_191]) ).
tcf(c_12653,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_433,c_11158]) ).
tcf(c_12655,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_433,c_391]) ).
tcf(c_12662,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(zero,converse(X0)),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12645,c_1431,c_1972,c_8201]) ).
tcf(c_12664,plain,
join(iPr_def_11,composition(converse(iPr_def_12),complement(composition(iPr_def_12,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12640,c_11779]) ).
tcf(c_12667,plain,
join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(iPr_def_10,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12634,c_193]) ).
tcf(c_12669,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(zero,composition(X0,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12620,c_1950]) ).
tcf(c_12670,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(X0,composition(zero,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12617,c_1950]) ).
tcf(c_12671,plain,
join(iPr_def_11,composition(top,complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12613,c_2343]) ).
tcf(c_12672,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_12647,c_1431,c_8201]) ).
tcf(c_12673,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_12646,c_1431,c_8201]) ).
tcf(c_12674,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_12),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12626,c_1950]) ).
tcf(c_12675,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_10),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12624,c_1950]) ).
tcf(c_12676,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_11),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12621,c_1950]) ).
tcf(c_12677,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_10),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12606,c_1950]) ).
tcf(c_12678,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(complement(iPr_def_12)),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12631,c_1950]) ).
tcf(c_12679,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_12),composition(complement(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12630,c_1950]) ).
tcf(c_12680,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(complement(iPr_def_12)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12623,c_1950]) ).
tcf(c_12681,plain,
join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_11),composition(complement(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12605,c_1950]) ).
tcf(c_12682,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_12),composition(composition(iPr_def_10,X0),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12627,c_1950]) ).
tcf(c_12683,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_10),composition(composition(iPr_def_12,X0),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12625,c_1950]) ).
tcf(c_12684,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(X0,composition(complement(composition(converse(X0),top)),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12628,c_1950]) ).
tcf(c_12685,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_11),composition(composition(complement(iPr_def_12),X0),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12622,c_1950]) ).
tcf(c_12686,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(X0),composition(complement(composition(X0,top)),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12604,c_1950]) ).
tcf(c_12687,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_12649,c_50,c_49]) ).
tcf(c_12688,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_12687,c_1671]) ).
tcf(c_12689,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_12688,c_50,c_49]) ).
tcf(c_12691,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_12655,c_116]) ).
tcf(c_12692,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_12653,c_50,c_49]) ).
tcf(c_12694,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(join(iPr_def_10,X0)),composition(complement(join(iPr_def_10,composition(X0,top))),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12614,c_1950]) ).
tcf(c_12700,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10))))) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_49,c_434]) ).
tcf(c_12703,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(converse(X0),X1),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,composition(X1,complement(composition(X0,iPr_def_10)))),
inference(superposition,[status(thm)],[c_54,c_434]) ).
tcf(c_12704,plain,
! [X0: $i] : join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_59,c_434]) ).
tcf(c_12705,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(composition(converse(X1),complement(composition(X1,iPr_def_10))),X2))) = join(iPr_def_11,join(X0,X2)),
inference(superposition,[status(thm)],[c_191,c_434]) ).
tcf(c_12706,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(composition(converse(X1),complement(composition(X1,iPr_def_10))),X0)))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_375,c_434]) ).
tcf(c_12707,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),X1)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7124,c_434]) ).
tcf(c_12708,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_1429,c_434]) ).
tcf(c_12709,plain,
! [X0: $i] : join(iPr_def_11,converse(complement(converse(composition(converse(X0),complement(composition(X0,iPr_def_10))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_2345,c_434]) ).
tcf(c_12710,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,one),composition(converse(X1),complement(composition(X1,iPr_def_10))))) = join(iPr_def_11,composition(X0,composition(converse(X1),complement(composition(X1,iPr_def_10))))),
inference(superposition,[status(thm)],[c_1782,c_434]) ).
tcf(c_12711,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(one,X0),composition(converse(X1),complement(composition(X1,iPr_def_10))))) = join(iPr_def_11,composition(X0,composition(converse(X1),complement(composition(X1,iPr_def_10))))),
inference(superposition,[status(thm)],[c_1767,c_434]) ).
tcf(c_12712,plain,
! [X0: $i] : join(iPr_def_11,composition(complement(one),composition(converse(X0),complement(composition(X0,iPr_def_10))))) = join(iPr_def_11,composition(top,composition(converse(X0),complement(composition(X0,iPr_def_10))))),
inference(superposition,[status(thm)],[c_11631,c_434]) ).
tcf(c_12714,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(join(converse(X0),X1),complement(composition(join(converse(X1),X0),iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_985,c_434]) ).
tcf(c_12715,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_221,c_434]) ).
tcf(c_12716,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(join(X0,converse(X1)),complement(composition(join(X1,converse(X0)),iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_765,c_434]) ).
tcf(c_12717,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_222,c_434]) ).
tcf(c_12718,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_225,c_434]) ).
tcf(c_12719,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_226,c_434]) ).
tcf(c_12720,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,complement(composition(top,iPr_def_10))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_2343,c_434]) ).
tcf(c_12721,plain,
! [X0: $i] : join(iPr_def_11,join(composition(zero,complement(composition(zero,iPr_def_10))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1950,c_434]) ).
tcf(c_12722,plain,
! [X0: $i] : join(iPr_def_11,join(composition(one,complement(composition(one,iPr_def_10))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1689,c_434]) ).
tcf(c_12723,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(join(one,converse(X0)),complement(composition(join(one,X0),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_1723,c_434]) ).
tcf(c_12724,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(join(one,converse(X0)),complement(composition(join(X0,one),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_1729,c_434]) ).
tcf(c_12725,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(composition(converse(X0),top),complement(composition(composition(top,X0),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_2357,c_434]) ).
tcf(c_12727,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(one),complement(iPr_def_10)),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1708,c_434]) ).
tcf(c_12728,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(join(one,X0)),complement(join(iPr_def_10,composition(X0,iPr_def_10)))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_1767,c_434]) ).
tcf(c_12729,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(join(X0,one)),complement(join(iPr_def_10,composition(X0,iPr_def_10)))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_1782,c_434]) ).
tcf(c_12730,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(zero),complement(zero)),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_8217,c_434]) ).
tcf(c_12731,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(converse(iPr_def_11)),complement(zero)),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_3196,c_434]) ).
tcf(c_12732,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(converse(iPr_def_12)),complement(zero)),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7459,c_434]) ).
tcf(c_12734,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1),complement(join(iPr_def_11,X1)))) = top,
inference(superposition,[status(thm)],[c_434,c_375]) ).
tcf(c_12736,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(composition(converse(X1),complement(composition(X1,iPr_def_10))),X2))) = join(X0,join(iPr_def_11,X2)),
inference(superposition,[status(thm)],[c_434,c_191]) ).
tcf(c_12738,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1),join(iPr_def_11,X1)))) = join(iPr_def_11,complement(join(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_434,c_11158]) ).
tcf(c_12740,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1),top)) = composition(join(iPr_def_11,X1),top),
inference(superposition,[status(thm)],[c_434,c_391]) ).
tcf(c_12743,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))) = top,
inference(superposition,[status(thm)],[c_434,c_375]) ).
tcf(c_12746,plain,
! [X0: $i] : join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_434,c_2326]) ).
tcf(c_12747,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_434,c_4183]) ).
tcf(c_12749,plain,
! [X0: $i] : join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_434,c_12339]) ).
tcf(c_12751,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_12746,c_50,c_49]) ).
tcf(c_12753,plain,
! [X0: $i] : join(iPr_def_11,join(composition(zero,top),X0)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_12730,c_1431,c_1950]) ).
tcf(c_12754,plain,
! [X0: $i] : join(iPr_def_11,join(composition(one,iPr_def_11),X0)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_12727,c_192,c_1689]) ).
tcf(c_12760,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_12732,c_1431]) ).
tcf(c_12761,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_12731,c_1431]) ).
tcf(c_12762,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_12749,c_50,c_49]) ).
tcf(c_12766,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),join(X1,complement(join(iPr_def_11,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_12734,c_50,c_49]) ).
tcf(c_12768,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(join(one,converse(X0)),complement(join(iPr_def_10,composition(X0,iPr_def_10)))),X1)) = join(iPr_def_11,X1),
inference(light_normalisation,[status(thm)],[c_12729,c_1729]) ).
tcf(c_12770,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))))))) = join(iPr_def_11,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_12738,c_50,c_49]) ).
tcf(c_12795,plain,
! [X0: $i] : composition(converse(complement(iPr_def_12)),composition(iPr_def_11,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_5275,c_8217]) ).
tcf(c_12799,plain,
composition(converse(complement(iPr_def_12)),zero) = zero,
inference(superposition,[status(thm)],[c_8201,c_12795]) ).
tcf(c_12801,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_11,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12795,c_433]) ).
tcf(c_12802,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_12795,c_54]) ).
tcf(c_12803,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_12795,c_52]) ).
tcf(c_12804,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_12795,c_54]) ).
tcf(c_12806,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_12795,c_1767]) ).
tcf(c_12807,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_12795,c_76]) ).
tcf(c_12808,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),complement(iPr_def_12)) = converse(zero),
inference(superposition,[status(thm)],[c_12795,c_226]) ).
tcf(c_12809,plain,
join(iPr_def_11,composition(converse(composition(converse(complement(iPr_def_12)),iPr_def_11)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12795,c_433]) ).
tcf(c_12810,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),complement(iPr_def_12)) = zero,
inference(light_normalisation,[status(thm)],[c_12808,c_1950]) ).
tcf(c_12812,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_12806,c_50,c_49]) ).
tcf(c_12814,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(complement(iPr_def_12))),top)) = complement(composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_12807,c_1431]) ).
tcf(c_12815,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_12804,c_50,c_49]) ).
tcf(c_12816,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(complement(iPr_def_12)),composition(composition(iPr_def_11,X0),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12801,c_1950]) ).
tcf(c_12818,plain,
! [X0: $i] : join(top,join(composition(zero,top),X0)) = top,
inference(light_normalisation,[status(thm)],[c_5317,c_7096]) ).
tcf(c_12820,plain,
! [X0: $i] : join(top,join(converse(complement(iPr_def_12)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_5819,c_7096]) ).
tcf(c_12833,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_50,c_7426]) ).
tcf(c_12837,plain,
join(converse(complement(converse(iPr_def_11))),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_12326,c_7426]) ).
tcf(c_12839,plain,
! [X0: $i] : join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(iPr_def_11,complement(X0))) = top,
inference(superposition,[status(thm)],[c_1888,c_7426]) ).
tcf(c_12841,plain,
! [X0: $i] : join(join(X0,join(iPr_def_11,X0)),join(iPr_def_11,complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_11158,c_7426]) ).
tcf(c_12850,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(X0)),complement(top))) = top,
inference(superposition,[status(thm)],[c_7426,c_375]) ).
tcf(c_12851,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,complement(X0)),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_7426,c_50]) ).
tcf(c_12854,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_7426,c_50]) ).
tcf(c_12856,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X0)))) = join(X1,top),
inference(superposition,[status(thm)],[c_7426,c_191]) ).
tcf(c_12858,plain,
! [X0: $i] : join(X0,complement(zero)) = top,
inference(superposition,[status(thm)],[c_7426,c_1336]) ).
tcf(c_12859,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,complement(iPr_def_11)),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7426,c_11158]) ).
tcf(c_12861,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(iPr_def_11)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7426,c_391]) ).
tcf(c_12865,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_7426,c_221]) ).
tcf(c_12866,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,complement(iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_7426,c_9562]) ).
tcf(c_12867,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(iPr_def_10)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7426,c_392]) ).
tcf(c_12869,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(composition(converse(X1),complement(composition(X1,iPr_def_10)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7426,c_434]) ).
tcf(c_12872,plain,
! [X0: $i] : join(one,converse(join(X0,complement(one)))) = converse(top),
inference(superposition,[status(thm)],[c_7426,c_1723]) ).
tcf(c_12873,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,complement(one)),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_7426,c_1767]) ).
tcf(c_12875,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_12))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7426,c_3214]) ).
tcf(c_12881,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(complement(converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7426,c_12338]) ).
tcf(c_12888,plain,
join(iPr_def_11,converse(complement(converse(iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_12837,c_50,c_49]) ).
tcf(c_12890,plain,
! [X0: $i] : join(one,converse(join(X0,complement(one)))) = top,
inference(light_normalisation,[status(thm)],[c_12872,c_2343]) ).
tcf(c_12892,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(converse(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_12865,c_2343]) ).
tcf(c_12895,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(X0),complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_12850,c_50,c_49]) ).
tcf(c_12896,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(X0),zero))) = top,
inference(light_normalisation,[status(thm)],[c_12895,c_107]) ).
tcf(c_12897,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_12896,c_50,c_49]) ).
tcf(c_12899,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_10,composition(X0,top))) = top,
inference(light_normalisation,[status(thm)],[c_12861,c_401,c_1671,c_11762]) ).
tcf(c_12900,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(X0,top))) = top,
inference(theory_normalisation,[status(thm)],[c_12899,c_50,c_49]) ).
tcf(c_12901,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_12851,c_50,c_49]) ).
tcf(c_12904,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,complement(iPr_def_11))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_12859,c_50,c_49]) ).
tcf(c_12905,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,iPr_def_10)))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_12904,c_107,c_1671]) ).
tcf(c_12906,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_10,top)))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_12905,c_50,c_49]) ).
tcf(c_12907,plain,
! [X0: $i] : join(X0,join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_12841,c_50,c_49]) ).
tcf(c_12908,plain,
! [X0: $i] : join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,complement(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_12839,c_50,c_49]) ).
tcf(c_12922,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_11),composition(composition(iPr_def_10,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8221,c_433]) ).
tcf(c_12923,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_8221,c_54]) ).
tcf(c_12924,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_8221,c_52]) ).
tcf(c_12925,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_8221,c_54]) ).
tcf(c_12927,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_8221,c_1767]) ).
tcf(c_12928,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_8221,c_76]) ).
tcf(c_12929,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_11) = converse(zero),
inference(superposition,[status(thm)],[c_8221,c_226]) ).
tcf(c_12930,plain,
join(iPr_def_11,composition(converse(composition(converse(iPr_def_11),iPr_def_10)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8221,c_433]) ).
tcf(c_12931,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_12929,c_1950,c_7052]) ).
tcf(c_12933,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_12927,c_50,c_49]) ).
tcf(c_12935,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_12928,c_1431]) ).
tcf(c_12936,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_12925,c_50,c_49]) ).
tcf(c_12937,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_11),composition(composition(iPr_def_10,X0),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12922,c_1950]) ).
tcf(c_12943,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,composition(X0,composition(X1,top))),X2) = composition(join(iPr_def_10,composition(X0,X1)),composition(top,X2)),
inference(superposition,[status(thm)],[c_52,c_445]) ).
tcf(c_12944,plain,
! [X0: $i] : composition(join(iPr_def_10,iPr_def_11),composition(top,X0)) = composition(join(iPr_def_10,iPr_def_12),X0),
inference(superposition,[status(thm)],[c_116,c_445]) ).
tcf(c_12945,plain,
! [X0: $i] : composition(join(iPr_def_10,iPr_def_10),composition(top,X0)) = composition(join(iPr_def_10,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_193,c_445]) ).
tcf(c_12946,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_12,composition(X0,top))),X1) = composition(join(iPr_def_10,join(iPr_def_11,X0)),composition(top,X1)),
inference(superposition,[status(thm)],[c_391,c_445]) ).
tcf(c_12947,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_10,composition(X0,top))),X1) = composition(join(iPr_def_10,join(iPr_def_10,X0)),composition(top,X1)),
inference(superposition,[status(thm)],[c_392,c_445]) ).
tcf(c_12948,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_12,composition(X0,top))),X1) = composition(join(iPr_def_10,join(X0,iPr_def_11)),composition(top,X1)),
inference(superposition,[status(thm)],[c_402,c_445]) ).
tcf(c_12949,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_10,composition(X0,top))),X1) = composition(join(iPr_def_10,join(X0,iPr_def_10)),composition(top,X1)),
inference(superposition,[status(thm)],[c_401,c_445]) ).
tcf(c_12950,plain,
! [X0: $i] : composition(join(iPr_def_10,top),composition(top,X0)) = composition(join(iPr_def_10,top),X0),
inference(superposition,[status(thm)],[c_11762,c_445]) ).
tcf(c_12952,plain,
! [X0: $i] : composition(join(iPr_def_10,one),composition(top,X0)) = composition(join(iPr_def_10,top),X0),
inference(superposition,[status(thm)],[c_1708,c_445]) ).
tcf(c_12953,plain,
! [X0: $i] : composition(join(iPr_def_10,iPr_def_12),composition(top,X0)) = composition(join(iPr_def_10,iPr_def_12),X0),
inference(superposition,[status(thm)],[c_11779,c_445]) ).
tcf(c_12954,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(top,composition(X0,top))),X1) = composition(join(iPr_def_10,join(one,X0)),composition(top,X1)),
inference(superposition,[status(thm)],[c_1767,c_445]) ).
tcf(c_12955,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(top,composition(X0,top))),X1) = composition(join(iPr_def_10,join(X0,one)),composition(top,X1)),
inference(superposition,[status(thm)],[c_1782,c_445]) ).
tcf(c_12956,plain,
! [X0: $i] : composition(join(iPr_def_10,zero),composition(top,X0)) = composition(join(iPr_def_10,zero),X0),
inference(superposition,[status(thm)],[c_8217,c_445]) ).
tcf(c_12957,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(join(iPr_def_10,X0),composition(top,X1))),complement(composition(join(iPr_def_10,composition(X0,top)),composition(X1,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_433]) ).
tcf(c_12958,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(iPr_def_10,X0),composition(top,X1)),composition(X2,X1)) = composition(join(join(iPr_def_10,composition(X0,top)),X2),X1),
inference(superposition,[status(thm)],[c_445,c_54]) ).
tcf(c_12959,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(join(iPr_def_10,X0),composition(top,X1)),X2) = composition(join(iPr_def_10,composition(X0,top)),composition(X1,X2)),
inference(superposition,[status(thm)],[c_445,c_52]) ).
tcf(c_12960,plain,
! [X0: $i] : composition(join(iPr_def_10,X0),composition(top,one)) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_445,c_53]) ).
tcf(c_12961,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(join(iPr_def_10,X2),composition(top,X1))) = composition(join(X0,join(iPr_def_10,composition(X2,top))),X1),
inference(superposition,[status(thm)],[c_445,c_54]) ).
tcf(c_12963,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(iPr_def_10,X1),composition(top,X0))) = composition(join(one,join(iPr_def_10,composition(X1,top))),X0),
inference(superposition,[status(thm)],[c_445,c_1767]) ).
tcf(c_12964,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(iPr_def_10,composition(X1,top))),complement(composition(join(iPr_def_10,X1),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_445,c_76]) ).
tcf(c_12965,plain,
! [X0: $i,X1: $i] : converse(composition(join(iPr_def_10,X0),composition(top,converse(X1)))) = composition(X1,converse(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_445,c_225]) ).
tcf(c_12966,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top))),X1) = composition(join(iPr_def_10,join(iPr_def_10,composition(X0,top))),composition(top,X1)),
inference(superposition,[status(thm)],[c_445,c_445]) ).
tcf(c_12967,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top))))) = zero,
inference(superposition,[status(thm)],[c_445,c_9562]) ).
tcf(c_12968,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,top)))) = zero,
inference(superposition,[status(thm)],[c_445,c_9545]) ).
tcf(c_12969,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_445,c_434]) ).
tcf(c_12971,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(X0,top),top)) = composition(join(iPr_def_10,X0),composition(top,top)),
inference(superposition,[status(thm)],[c_445,c_392]) ).
tcf(c_12972,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_10,X0),composition(top,complement(composition(converse(join(iPr_def_10,composition(X0,top))),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_432]) ).
tcf(c_12973,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,join(iPr_def_10,composition(X1,top)))),complement(composition(X0,composition(join(iPr_def_10,X1),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_433]) ).
tcf(c_12974,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(join(iPr_def_10,composition(X0,top)),X1)),complement(composition(join(iPr_def_10,X0),composition(top,composition(X1,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_433]) ).
tcf(c_12975,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(iPr_def_10,composition(X0,top))),composition(complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_11))),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_445,c_1679]) ).
tcf(c_12976,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_445,c_1680]) ).
tcf(c_12977,plain,
! [X0: $i] : composition(join(iPr_def_10,X0),composition(top,zero)) = zero,
inference(superposition,[status(thm)],[c_445,c_8201]) ).
tcf(c_12978,plain,
! [X0: $i] : composition(join(iPr_def_10,X0),composition(top,complement(composition(converse(join(iPr_def_10,composition(X0,top))),top)))) = zero,
inference(superposition,[status(thm)],[c_445,c_9546]) ).
tcf(c_12981,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(X0,top),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_12971,c_392,c_11762]) ).
tcf(c_12982,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,composition(X0,top))),complement(join(iPr_def_10,composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_12968,c_392,c_11762]) ).
tcf(c_12983,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(iPr_def_10,X1),composition(top,X0))) = composition(join(iPr_def_10,join(one,composition(X1,top))),X0),
inference(theory_normalisation,[status(thm)],[c_12963,c_50,c_49]) ).
tcf(c_12987,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_12967,c_392,c_11762]) ).
tcf(c_12988,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(iPr_def_10,X0),composition(top,X1)),composition(X2,X1)) = composition(join(iPr_def_10,join(composition(X0,top),X2)),X1),
inference(theory_normalisation,[status(thm)],[c_12958,c_50,c_49]) ).
tcf(c_12989,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(join(X0,iPr_def_10),composition(top,X1))),complement(composition(join(iPr_def_10,X0),composition(top,composition(X1,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_12974,c_474]) ).
tcf(c_12990,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_10,composition(X0,top))),composition(top,X1)) = composition(join(iPr_def_10,join(iPr_def_10,composition(X0,top))),X1),
inference(light_normalisation,[status(thm)],[c_12966,c_392,c_11762]) ).
tcf(c_13045,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,iPr_def_10)))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_1542,c_1671]) ).
tcf(c_13048,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))))))) = join(iPr_def_11,join(iPr_def_11,join(iPr_def_11,zero))),
inference(light_normalisation,[status(thm)],[c_303,c_1431]) ).
tcf(c_13077,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(X0))) = top,
inference(superposition,[status(thm)],[c_12338,c_12833]) ).
tcf(c_13081,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_50,c_12833]) ).
tcf(c_13085,plain,
! [X0: $i] : join(converse(complement(converse(iPr_def_11))),join(X0,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_12326,c_12833]) ).
tcf(c_13087,plain,
! [X0: $i,X1: $i] : join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(X1,join(iPr_def_11,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_1888,c_12833]) ).
tcf(c_13088,plain,
! [X0: $i] : join(iPr_def_12,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_4192,c_12833]) ).
tcf(c_13089,plain,
! [X0: $i,X1: $i] : join(join(X0,join(iPr_def_11,X0)),join(X1,join(iPr_def_11,complement(join(iPr_def_11,X0))))) = top,
inference(superposition,[status(thm)],[c_11158,c_12833]) ).
tcf(c_13096,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_1431,c_12833]) ).
tcf(c_13098,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,join(X2,complement(X0))),complement(top))) = top,
inference(superposition,[status(thm)],[c_12833,c_375]) ).
tcf(c_13099,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_12833,c_50]) ).
tcf(c_13102,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_12833,c_50]) ).
tcf(c_13104,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_12833,c_191]) ).
tcf(c_13105,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X1)))) = top,
inference(superposition,[status(thm)],[c_12833,c_191]) ).
tcf(c_13106,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(zero))) = top,
inference(superposition,[status(thm)],[c_12833,c_1336]) ).
tcf(c_13107,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,join(X1,complement(iPr_def_11))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_12833,c_11158]) ).
tcf(c_13109,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(X1,complement(iPr_def_11))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12833,c_391]) ).
tcf(c_13113,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(X2,complement(converse(X0)))))) = converse(top),
inference(superposition,[status(thm)],[c_12833,c_221]) ).
tcf(c_13114,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,complement(iPr_def_10))),top)))) = zero,
inference(superposition,[status(thm)],[c_12833,c_9562]) ).
tcf(c_13115,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(iPr_def_10))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12833,c_392]) ).
tcf(c_13117,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,complement(composition(converse(X2),complement(composition(X2,iPr_def_10))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12833,c_434]) ).
tcf(c_13120,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,complement(one))))) = converse(top),
inference(superposition,[status(thm)],[c_12833,c_1723]) ).
tcf(c_13121,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,join(X2,complement(one))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_12833,c_1767]) ).
tcf(c_13123,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_12833,c_3214]) ).
tcf(c_13129,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(complement(converse(complement(converse(iPr_def_11)))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12833,c_12338]) ).
tcf(c_13130,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12833,c_12338]) ).
tcf(c_13133,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_13130,c_1671]) ).
tcf(c_13136,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_13096,c_50,c_49]) ).
tcf(c_13140,plain,
! [X0: $i] : join(iPr_def_11,join(X0,converse(complement(converse(iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_13085,c_50,c_49]) ).
tcf(c_13143,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_13120,c_2343]) ).
tcf(c_13145,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(X2,complement(converse(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_13113,c_2343]) ).
tcf(c_13148,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_13098,c_50,c_49]) ).
tcf(c_13149,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(complement(X0),zero)))) = top,
inference(light_normalisation,[status(thm)],[c_13148,c_107]) ).
tcf(c_13150,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(zero,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_13149,c_50,c_49]) ).
tcf(c_13151,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,composition(join(X0,X1),top))) = top,
inference(light_normalisation,[status(thm)],[c_13115,c_192,c_10227,c_11762]) ).
tcf(c_13152,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(iPr_def_10,composition(join(X0,X1),top))) = top,
inference(light_normalisation,[status(thm)],[c_13109,c_472,c_1671,c_11762]) ).
tcf(c_13154,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_13099,c_50,c_49]) ).
tcf(c_13156,plain,
! [X0: $i,X1: $i] : composition(top,complement(join(iPr_def_10,join(iPr_def_12,composition(join(X0,X1),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_13114,c_192,c_2343,c_10227]) ).
tcf(c_13157,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(top,complement(iPr_def_11)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_13107,c_50,c_49]) ).
tcf(c_13158,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(top,iPr_def_10))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_13157,c_107,c_1671]) ).
tcf(c_13159,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(iPr_def_10,top))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_13158,c_50,c_49]) ).
tcf(c_13160,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_13089,c_50,c_49]) ).
tcf(c_13161,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(iPr_def_11,join(X1,join(complement(X0),complement(join(iPr_def_11,complement(X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_13087,c_50,c_49]) ).
tcf(c_13163,plain,
join(iPr_def_10,complement(iPr_def_12)) = complement(iPr_def_12),
inference(demodulation,[status(thm)],[c_7460,c_49,c_55,c_193]) ).
tcf(c_13164,plain,
join(iPr_def_10,join(complement(iPr_def_12),complement(complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13163,c_375]) ).
tcf(c_13165,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_12),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_13163,c_50]) ).
tcf(c_13166,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(iPr_def_12))) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_13163,c_191]) ).
tcf(c_13168,plain,
join(iPr_def_12,complement(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_13163,c_7426]) ).
tcf(c_13169,plain,
composition(converse(complement(iPr_def_12)),complement(join(iPr_def_10,composition(complement(iPr_def_12),top)))) = zero,
inference(superposition,[status(thm)],[c_13163,c_9562]) ).
tcf(c_13170,plain,
join(iPr_def_10,composition(complement(iPr_def_12),top)) = composition(complement(iPr_def_12),top),
inference(superposition,[status(thm)],[c_13163,c_392]) ).
tcf(c_13171,plain,
! [X0: $i] : join(iPr_def_12,join(X0,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13163,c_12833]) ).
tcf(c_13195,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12338,c_7700]) ).
tcf(c_13215,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12338,c_7700]) ).
tcf(c_13218,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_50,c_7700]) ).
tcf(c_13220,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_209,c_7700]) ).
tcf(c_13224,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_7700,c_375]) ).
tcf(c_13225,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_7700,c_50]) ).
tcf(c_13228,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_7700,c_191]) ).
tcf(c_13229,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_7700,c_191]) ).
tcf(c_13230,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_11))),top)))) = zero,
inference(superposition,[status(thm)],[c_7700,c_9562]) ).
tcf(c_13231,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_11))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7700,c_392]) ).
tcf(c_13240,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_13224,c_50,c_49]) ).
tcf(c_13241,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_13240,c_107]) ).
tcf(c_13242,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_11))),top)) = top,
inference(light_normalisation,[status(thm)],[c_13231,c_11762]) ).
tcf(c_13244,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_13225,c_50,c_49]) ).
tcf(c_13245,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,complement(join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_11))),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_13230,c_2343]) ).
tcf(c_13252,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(iPr_def_10),composition(composition(iPr_def_11,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8222,c_433]) ).
tcf(c_13253,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_8222,c_54]) ).
tcf(c_13254,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_8222,c_52]) ).
tcf(c_13255,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_8222,c_54]) ).
tcf(c_13257,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_8222,c_1767]) ).
tcf(c_13258,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_8222,c_76]) ).
tcf(c_13259,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_10) = converse(zero),
inference(superposition,[status(thm)],[c_8222,c_226]) ).
tcf(c_13260,plain,
join(iPr_def_11,composition(converse(composition(converse(iPr_def_10),iPr_def_11)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8222,c_433]) ).
tcf(c_13261,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_13259,c_1950,c_7031]) ).
tcf(c_13263,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_13257,c_50,c_49]) ).
tcf(c_13265,plain,
! [X0: $i] : join(complement(composition(iPr_def_11,X0)),composition(converse(converse(iPr_def_10)),top)) = complement(composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_13258,c_1431]) ).
tcf(c_13266,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_13255,c_50,c_49]) ).
tcf(c_13267,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(iPr_def_10),composition(composition(iPr_def_11,X0),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13252,c_1950]) ).
tcf(c_13273,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_191,c_8588]) ).
tcf(c_13287,plain,
join(iPr_def_10,complement(iPr_def_11)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3207,c_8588]) ).
tcf(c_13295,plain,
join(iPr_def_10,complement(composition(top,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11631,c_8588]) ).
tcf(c_13297,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12339,c_8588]) ).
tcf(c_13298,plain,
join(iPr_def_10,complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_12833,c_8588]) ).
tcf(c_13300,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8588,c_375]) ).
tcf(c_13301,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_8588,c_50]) ).
tcf(c_13302,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_8588,c_191]) ).
tcf(c_13306,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)))) = zero,
inference(superposition,[status(thm)],[c_8588,c_9562]) ).
tcf(c_13307,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_8588,c_392]) ).
tcf(c_13313,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_13300,c_50,c_49]) ).
tcf(c_13315,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13307,c_193]) ).
tcf(c_13317,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_12)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_225,c_8919]) ).
tcf(c_13320,plain,
composition(converse(zero),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_8201,c_8919]) ).
tcf(c_13323,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(composition(iPr_def_12,X0)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8919,c_433]) ).
tcf(c_13324,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_8919,c_54]) ).
tcf(c_13325,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_8919,c_52]) ).
tcf(c_13326,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_8919,c_54]) ).
tcf(c_13327,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_8919,c_76]) ).
tcf(c_13328,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_12,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_8919,c_226]) ).
tcf(c_13329,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(converse(composition(iPr_def_12,X0))),complement(zero)),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_8919,c_434]) ).
tcf(c_13330,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_8919,c_349]) ).
tcf(c_13331,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_12,X0),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8919,c_432]) ).
tcf(c_13332,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(composition(iPr_def_12,X1)))),complement(composition(X0,zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8919,c_433]) ).
tcf(c_13333,plain,
composition(zero,iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_13320,c_1950]) ).
tcf(c_13335,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_12,X0),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13331,c_1431]) ).
tcf(c_13336,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_13330,c_1431]) ).
tcf(c_13338,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_13326,c_50,c_49]) ).
tcf(c_13339,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_13332,c_1431,c_8201]) ).
tcf(c_13340,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_13329,c_1431]) ).
tcf(c_13341,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(composition(iPr_def_12,X0)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13323,c_1950]) ).
tcf(c_13343,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_10)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_225,c_8938]) ).
tcf(c_13347,plain,
composition(converse(zero),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_8201,c_8938]) ).
tcf(c_13349,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8938,c_433]) ).
tcf(c_13350,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_8938,c_54]) ).
tcf(c_13351,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_8938,c_52]) ).
tcf(c_13352,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_8938,c_54]) ).
tcf(c_13353,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_8938,c_76]) ).
tcf(c_13354,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_8938,c_226]) ).
tcf(c_13355,plain,
composition(zero,iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_13347,c_1950]) ).
tcf(c_13357,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_13353,c_1431]) ).
tcf(c_13358,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_13352,c_50,c_49]) ).
tcf(c_13359,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_13349,c_1950]) ).
tcf(c_13365,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(X0,join(iPr_def_11,X1))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_191,c_13315]) ).
tcf(c_13379,plain,
join(iPr_def_10,composition(complement(iPr_def_11),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3207,c_13315]) ).
tcf(c_13387,plain,
join(iPr_def_10,composition(complement(composition(top,iPr_def_11)),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_11631,c_13315]) ).
tcf(c_13389,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(X0,iPr_def_11)),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_12339,c_13315]) ).
tcf(c_13390,plain,
join(iPr_def_10,composition(complement(top),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_12833,c_13315]) ).
tcf(c_13392,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13315,c_375]) ).
tcf(c_13393,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_13315,c_50]) ).
tcf(c_13394,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(complement(join(iPr_def_11,X1)),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_13315,c_191]) ).
tcf(c_13396,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13315,c_9562]) ).
tcf(c_13397,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13315,c_392]) ).
tcf(c_13398,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,complement(join(iPr_def_11,X0))),composition(top,X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_13315,c_445]) ).
tcf(c_13399,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,complement(join(iPr_def_11,X0)))),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_13315,c_9562]) ).
tcf(c_13403,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(iPr_def_11,X0)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_13392,c_50,c_49]) ).
tcf(c_13404,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(complement(join(iPr_def_11,X0)),top))) = top,
inference(light_normalisation,[status(thm)],[c_13403,c_192]) ).
tcf(c_13406,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13397,c_193]) ).
tcf(c_13410,plain,
join(iPr_def_10,join(composition(complement(composition(top,iPr_def_11)),top),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13387,c_375]) ).
tcf(c_13411,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(composition(top,iPr_def_11)),top),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_13387,c_50]) ).
tcf(c_13412,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(complement(composition(top,iPr_def_11)),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_13387,c_191]) ).
tcf(c_13414,plain,
composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(complement(composition(top,iPr_def_11)),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13387,c_9562]) ).
tcf(c_13415,plain,
join(iPr_def_10,composition(composition(complement(composition(top,iPr_def_11)),top),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13387,c_392]) ).
tcf(c_13416,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(composition(top,iPr_def_11))),composition(top,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_13387,c_445]) ).
tcf(c_13417,plain,
composition(converse(join(iPr_def_10,complement(composition(top,iPr_def_11)))),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_13387,c_9562]) ).
tcf(c_13419,plain,
join(iPr_def_10,join(complement(iPr_def_10),composition(complement(composition(top,iPr_def_11)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_13410,c_50,c_49]) ).
tcf(c_13420,plain,
join(iPr_def_10,join(iPr_def_11,composition(complement(composition(top,iPr_def_11)),top))) = top,
inference(light_normalisation,[status(thm)],[c_13419,c_192]) ).
tcf(c_13422,plain,
join(iPr_def_10,composition(composition(complement(composition(top,iPr_def_11)),top),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13415,c_193]) ).
tcf(c_13426,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(X0,join(X1,iPr_def_11))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_13389]) ).
tcf(c_13432,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(join(X0,iPr_def_11)),top),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13389,c_375]) ).
tcf(c_13433,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(X0,iPr_def_11)),top),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_13389,c_50]) ).
tcf(c_13434,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(complement(join(X1,iPr_def_11)),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_13389,c_191]) ).
tcf(c_13436,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(complement(join(X0,iPr_def_11)),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13389,c_9562]) ).
tcf(c_13437,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(join(X0,iPr_def_11)),top),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13389,c_392]) ).
tcf(c_13438,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,complement(join(X0,iPr_def_11))),composition(top,X1)) = composition(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_13389,c_445]) ).
tcf(c_13439,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,complement(join(X0,iPr_def_11)))),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_13389,c_9562]) ).
tcf(c_13441,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(X0,iPr_def_11)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_13432,c_50,c_49]) ).
tcf(c_13442,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,iPr_def_11)),top))) = top,
inference(light_normalisation,[status(thm)],[c_13441,c_192]) ).
tcf(c_13444,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(join(X0,iPr_def_11)),top),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13437,c_193]) ).
tcf(c_13472,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(iPr_def_11,X0))) = top,
inference(superposition,[status(thm)],[c_12338,c_7830]) ).
tcf(c_13478,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,X2)))) = top,
inference(superposition,[status(thm)],[c_191,c_7830]) ).
tcf(c_13501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,X3))))) = top,
inference(superposition,[status(thm)],[c_191,c_7830]) ).
tcf(c_13523,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,composition(top,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_11631,c_7830]) ).
tcf(c_13529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_11,X2))),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_7830,c_50]) ).
tcf(c_13532,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(X0,top),
inference(superposition,[status(thm)],[c_7830,c_191]) ).
tcf(c_13533,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(iPr_def_10,join(X1,join(iPr_def_11,X2)))) = top,
inference(superposition,[status(thm)],[c_7830,c_191]) ).
tcf(c_13534,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_11,X2))),top)))) = zero,
inference(superposition,[status(thm)],[c_7830,c_9562]) ).
tcf(c_13535,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_11,X2))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7830,c_392]) ).
tcf(c_13543,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_11,X2))),top)) = top,
inference(light_normalisation,[status(thm)],[c_13535,c_11762]) ).
tcf(c_13545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,X3))))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_13529,c_50,c_49]) ).
tcf(c_13546,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,complement(join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_11,X2))),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_13534,c_2343]) ).
tcf(c_13559,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),X0)) = top,
inference(superposition,[status(thm)],[c_49,c_9125]) ).
tcf(c_13561,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_50,c_9125]) ).
tcf(c_13569,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,complement(iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_9125,c_375]) ).
tcf(c_13570,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_9125,c_50]) ).
tcf(c_13573,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_9125,c_191]) ).
tcf(c_13574,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_9125,c_191]) ).
tcf(c_13577,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,complement(iPr_def_12)),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_9125,c_11158]) ).
tcf(c_13579,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(iPr_def_12)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9125,c_391]) ).
tcf(c_13592,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_13569,c_50,c_49]) ).
tcf(c_13593,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),zero))) = top,
inference(light_normalisation,[status(thm)],[c_13592,c_107]) ).
tcf(c_13594,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(zero,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_13593,c_50,c_49]) ).
tcf(c_13595,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(iPr_def_12)),top)) = top,
inference(light_normalisation,[status(thm)],[c_13579,c_11762]) ).
tcf(c_13597,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_13570,c_50,c_49]) ).
tcf(c_13598,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,complement(iPr_def_12))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_13577,c_50,c_49]) ).
tcf(c_13599,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,complement(iPr_def_12))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_13598,c_107]) ).
tcf(c_13624,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_1782,c_13165]) ).
tcf(c_13625,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_1767,c_13165]) ).
tcf(c_13628,plain,
join(iPr_def_10,composition(top,complement(iPr_def_12))) = composition(top,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_11631,c_13165]) ).
tcf(c_13630,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_13165,c_375]) ).
tcf(c_13632,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_13165,c_191]) ).
tcf(c_13634,plain,
join(complement(iPr_def_12),complement(join(iPr_def_10,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13165,c_375]) ).
tcf(c_13635,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_12),X0)),complement(join(iPr_def_10,composition(join(complement(iPr_def_12),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_13165,c_9562]) ).
tcf(c_13636,plain,
! [X0: $i] : join(iPr_def_10,composition(join(complement(iPr_def_12),X0),top)) = composition(join(complement(iPr_def_12),X0),top),
inference(superposition,[status(thm)],[c_13165,c_392]) ).
tcf(c_13642,plain,
join(complement(iPr_def_12),complement(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_13165,c_7426]) ).
tcf(c_13643,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_13165,c_7700]) ).
tcf(c_13650,plain,
! [X0: $i] : join(X0,join(complement(iPr_def_12),complement(X0))) = top,
inference(superposition,[status(thm)],[c_13165,c_12833]) ).
tcf(c_13651,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13165,c_12833]) ).
tcf(c_13657,plain,
join(complement(iPr_def_10),complement(iPr_def_12)) = top,
inference(theory_normalisation,[status(thm)],[c_13642,c_50,c_49]) ).
tcf(c_13669,plain,
! [X0: $i] : join(complement(iPr_def_10),join(X0,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_13651,c_50,c_49]) ).
tcf(c_13675,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_13643,c_50,c_49]) ).
tcf(c_13677,plain,
join(complement(iPr_def_12),complement(complement(iPr_def_12))) = top,
inference(light_normalisation,[status(thm)],[c_13634,c_13163]) ).
tcf(c_13680,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_13630,c_50,c_49]) ).
tcf(c_13714,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,complement(iPr_def_12)),complement(join(X0,complement(iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_13166,c_375]) ).
tcf(c_13718,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(iPr_def_12)))) = join(X0,join(X1,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_13166,c_191]) ).
tcf(c_13719,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(iPr_def_12))) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_13166,c_191]) ).
tcf(c_13722,plain,
! [X0: $i] : composition(converse(join(X0,complement(iPr_def_12))),complement(join(iPr_def_10,composition(join(X0,complement(iPr_def_12)),top)))) = zero,
inference(superposition,[status(thm)],[c_13166,c_9562]) ).
tcf(c_13723,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(iPr_def_12)),top)) = composition(join(X0,complement(iPr_def_12)),top),
inference(superposition,[status(thm)],[c_13166,c_392]) ).
tcf(c_13727,plain,
join(composition(top,iPr_def_11),complement(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_13166,c_11990]) ).
tcf(c_13728,plain,
join(composition(top,iPr_def_12),complement(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_13166,c_12210]) ).
tcf(c_13730,plain,
join(complement(iPr_def_12),composition(top,iPr_def_12)) = top,
inference(theory_normalisation,[status(thm)],[c_13728,c_50,c_49]) ).
tcf(c_13731,plain,
join(complement(iPr_def_12),composition(top,iPr_def_11)) = top,
inference(theory_normalisation,[status(thm)],[c_13727,c_50,c_49]) ).
tcf(c_13735,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),complement(join(X0,complement(iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_13714,c_50,c_49]) ).
tcf(c_13737,plain,
join(iPr_def_10,join(composition(complement(iPr_def_12),top),complement(composition(complement(iPr_def_12),top)))) = top,
inference(superposition,[status(thm)],[c_13170,c_375]) ).
tcf(c_13738,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(iPr_def_12),top),X0)) = join(composition(complement(iPr_def_12),top),X0),
inference(superposition,[status(thm)],[c_13170,c_50]) ).
tcf(c_13739,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(complement(iPr_def_12),top))) = join(X0,composition(complement(iPr_def_12),top)),
inference(superposition,[status(thm)],[c_13170,c_191]) ).
tcf(c_13741,plain,
composition(converse(composition(complement(iPr_def_12),top)),complement(join(iPr_def_10,composition(composition(complement(iPr_def_12),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13170,c_9562]) ).
tcf(c_13742,plain,
join(iPr_def_10,composition(composition(complement(iPr_def_12),top),top)) = composition(composition(complement(iPr_def_12),top),top),
inference(superposition,[status(thm)],[c_13170,c_392]) ).
tcf(c_13743,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(iPr_def_12)),composition(top,X0)) = composition(composition(complement(iPr_def_12),top),X0),
inference(superposition,[status(thm)],[c_13170,c_445]) ).
tcf(c_13744,plain,
composition(converse(join(iPr_def_10,complement(iPr_def_12))),complement(composition(complement(iPr_def_12),top))) = zero,
inference(superposition,[status(thm)],[c_13170,c_9562]) ).
tcf(c_13745,plain,
composition(converse(complement(iPr_def_12)),complement(composition(complement(iPr_def_12),top))) = zero,
inference(light_normalisation,[status(thm)],[c_13744,c_13163]) ).
tcf(c_13746,plain,
! [X0: $i] : composition(composition(complement(iPr_def_12),top),X0) = composition(complement(iPr_def_12),composition(top,X0)),
inference(light_normalisation,[status(thm)],[c_13743,c_13163]) ).
tcf(c_13752,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,join(X0,X1))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_191,c_13365]) ).
tcf(c_13770,plain,
join(iPr_def_10,composition(complement(join(iPr_def_11,iPr_def_11)),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_12339,c_13365]) ).
tcf(c_13772,plain,
join(iPr_def_10,composition(complement(join(iPr_def_11,complement(iPr_def_12))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_13166,c_13365]) ).
tcf(c_13777,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(complement(join(X0,join(X1,join(iPr_def_11,X2)))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_191,c_13365]) ).
tcf(c_13800,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(X0,composition(top,iPr_def_11))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_11631,c_13365]) ).
tcf(c_13803,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(X0,top)),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_12833,c_13365]) ).
tcf(c_13805,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(iPr_def_11,X1))),top),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13365,c_375]) ).
tcf(c_13806,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(iPr_def_11,X1))),top),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_13365,c_50]) ).
tcf(c_13807,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,composition(complement(join(X1,join(iPr_def_11,X2))),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_13365,c_191]) ).
tcf(c_13809,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(complement(join(X0,join(iPr_def_11,X1))),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13365,c_9562]) ).
tcf(c_13810,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(complement(join(X0,join(iPr_def_11,X1))),top),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13365,c_392]) ).
tcf(c_13811,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,complement(join(X0,join(iPr_def_11,X1)))),composition(top,X2)) = composition(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_13365,c_445]) ).
tcf(c_13812,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,complement(join(X0,join(iPr_def_11,X1))))),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_13365,c_9562]) ).
tcf(c_13817,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(X0,join(iPr_def_11,X1))),top))) = top,
inference(theory_normalisation,[status(thm)],[c_13805,c_50,c_49]) ).
tcf(c_13818,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(iPr_def_11,X1))),top))) = top,
inference(light_normalisation,[status(thm)],[c_13817,c_192]) ).
tcf(c_13820,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(complement(join(X0,join(iPr_def_11,X1))),top),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13810,c_193]) ).
tcf(c_13835,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(complement(join(iPr_def_11,X1)),top))) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_49,c_13393]) ).
tcf(c_13838,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(complement(join(iPr_def_11,X0)),X1),top)) = join(iPr_def_10,composition(X1,top)),
inference(superposition,[status(thm)],[c_54,c_13393]) ).
tcf(c_13839,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(complement(join(iPr_def_11,X0)),top))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_59,c_13393]) ).
tcf(c_13840,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(composition(complement(join(iPr_def_11,X1)),top),X2))) = join(iPr_def_10,join(X0,X2)),
inference(superposition,[status(thm)],[c_191,c_13393]) ).
tcf(c_13841,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(composition(complement(join(iPr_def_11,X1)),top),X0)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_375,c_13393]) ).
tcf(c_13842,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(composition(complement(join(iPr_def_11,X0)),top)),X1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7124,c_13393]) ).
tcf(c_13843,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_1429,c_13393]) ).
tcf(c_13844,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(composition(complement(join(iPr_def_11,X0)),top))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2345,c_13393]) ).
tcf(c_13845,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,one),composition(complement(join(iPr_def_11,X1)),top))) = join(iPr_def_10,composition(X0,composition(complement(join(iPr_def_11,X1)),top))),
inference(superposition,[status(thm)],[c_1782,c_13393]) ).
tcf(c_13846,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(one,X0),composition(complement(join(iPr_def_11,X1)),top))) = join(iPr_def_10,composition(X0,composition(complement(join(iPr_def_11,X1)),top))),
inference(superposition,[status(thm)],[c_1767,c_13393]) ).
tcf(c_13847,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(composition(complement(join(iPr_def_11,X1)),top)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7426,c_13393]) ).
tcf(c_13848,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(one),composition(complement(join(iPr_def_11,X0)),top))) = join(iPr_def_10,composition(top,composition(complement(join(iPr_def_11,X0)),top))),
inference(superposition,[status(thm)],[c_11631,c_13393]) ).
tcf(c_13849,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(composition(complement(join(iPr_def_11,X2)),top))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_12833,c_13393]) ).
tcf(c_13868,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(iPr_def_11),top),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3207,c_13393]) ).
tcf(c_13880,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(top),top),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_12833,c_13393]) ).
tcf(c_13882,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(composition(complement(join(iPr_def_11,X0)),top),X1),complement(join(iPr_def_10,X1)))) = top,
inference(superposition,[status(thm)],[c_13393,c_375]) ).
tcf(c_13884,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(composition(complement(join(iPr_def_11,X1)),top),X2))) = join(X0,join(iPr_def_10,X2)),
inference(superposition,[status(thm)],[c_13393,c_191]) ).
tcf(c_13886,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)))) = top,
inference(superposition,[status(thm)],[c_13393,c_375]) ).
tcf(c_13887,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_13393,c_9562]) ).
tcf(c_13888,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top)) = composition(join(iPr_def_10,X1),top),
inference(superposition,[status(thm)],[c_13393,c_392]) ).
tcf(c_13889,plain,
join(iPr_def_10,join(iPr_def_10,iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_13393,c_7305]) ).
tcf(c_13893,plain,
join(iPr_def_10,join(iPr_def_10,iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_13393,c_12163]) ).
tcf(c_13895,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_13393,c_7700]) ).
tcf(c_13896,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_13393,c_7700]) ).
tcf(c_13898,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,join(iPr_def_11,X0))) = top,
inference(superposition,[status(thm)],[c_13393,c_7830]) ).
tcf(c_13902,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(X0))) = top,
inference(superposition,[status(thm)],[c_13393,c_12833]) ).
tcf(c_13903,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13393,c_12833]) ).
tcf(c_13904,plain,
! [X0: $i] : join(composition(complement(join(iPr_def_11,X0)),top),complement(iPr_def_12)) = join(iPr_def_10,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_13393,c_13166]) ).
tcf(c_13915,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(complement(join(iPr_def_11,X0)),top)) = join(iPr_def_10,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_13904,c_50,c_49]) ).
tcf(c_13916,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(complement(join(iPr_def_11,X0)),top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13915,c_13163]) ).
tcf(c_13919,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),join(X1,complement(join(iPr_def_10,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_13882,c_50,c_49]) ).
tcf(c_13926,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(complement(join(X0,join(iPr_def_11,X1))),top)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_191,c_13916]) ).
tcf(c_13940,plain,
join(complement(iPr_def_12),composition(complement(iPr_def_11),top)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_3207,c_13916]) ).
tcf(c_13949,plain,
join(complement(iPr_def_12),composition(complement(composition(top,iPr_def_11)),top)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_11631,c_13916]) ).
tcf(c_13951,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(complement(join(X0,iPr_def_11)),top)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12339,c_13916]) ).
tcf(c_13952,plain,
join(complement(iPr_def_12),composition(complement(top),top)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12833,c_13916]) ).
tcf(c_13953,plain,
join(complement(iPr_def_12),complement(iPr_def_12)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_13916,c_7878]) ).
tcf(c_13954,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(complement(join(iPr_def_11,X0)),top),complement(complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13916,c_375]) ).
tcf(c_13955,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(complement(join(iPr_def_11,X0)),top),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_13916,c_50]) ).
tcf(c_13958,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,composition(complement(join(iPr_def_11,X1)),top))) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_13916,c_191]) ).
tcf(c_13960,plain,
join(complement(iPr_def_12),composition(zero,top)) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13952,c_107]) ).
tcf(c_13961,plain,
join(complement(iPr_def_12),iPr_def_10) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_13940,c_193,c_1671]) ).
tcf(c_13963,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(complement(iPr_def_12)),composition(complement(join(iPr_def_11,X0)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_13954,c_50,c_49]) ).
tcf(c_13973,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_13559]) ).
tcf(c_13980,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1782,c_13559]) ).
tcf(c_13981,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_1767,c_13559]) ).
tcf(c_13984,plain,
join(iPr_def_11,composition(top,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_11631,c_13559]) ).
tcf(c_13989,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_13559,c_50]) ).
tcf(c_13990,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_13559,c_191]) ).
tcf(c_13996,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(iPr_def_12),X0),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_13559,c_11158]) ).
tcf(c_13998,plain,
! [X0: $i] : join(iPr_def_12,composition(join(complement(iPr_def_12),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13559,c_391]) ).
tcf(c_14018,plain,
! [X0: $i] : join(iPr_def_12,composition(join(complement(iPr_def_12),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_13998,c_11762]) ).
tcf(c_14020,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_13989,c_50,c_49]) ).
tcf(c_14021,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_12))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_13996,c_50,c_49]) ).
tcf(c_14022,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,complement(iPr_def_12))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_14021,c_107]) ).
tcf(c_14050,plain,
join(iPr_def_11,join(iPr_def_11,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_12338,c_13561]) ).
tcf(c_14051,plain,
join(iPr_def_11,join(complement(iPr_def_12),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13165,c_13561]) ).
tcf(c_14053,plain,
join(iPr_def_11,join(iPr_def_10,complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13393,c_13561]) ).
tcf(c_14056,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,complement(iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_50,c_13561]) ).
tcf(c_14062,plain,
! [X0: $i] : join(iPr_def_11,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_4192,c_13561]) ).
tcf(c_14064,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,join(X1,complement(iPr_def_12))),complement(top))) = top,
inference(superposition,[status(thm)],[c_13561,c_375]) ).
tcf(c_14065,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,join(X1,complement(iPr_def_12))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_13561,c_50]) ).
tcf(c_14068,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,complement(iPr_def_12))))) = join(X0,top),
inference(superposition,[status(thm)],[c_13561,c_191]) ).
tcf(c_14069,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(X1,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13561,c_191]) ).
tcf(c_14074,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,join(X1,complement(iPr_def_12))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_13561,c_11158]) ).
tcf(c_14076,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(X1,complement(iPr_def_12))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13561,c_391]) ).
tcf(c_14091,plain,
join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_14053,c_50,c_49]) ).
tcf(c_14095,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_14064,c_50,c_49]) ).
tcf(c_14096,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),zero)))) = top,
inference(light_normalisation,[status(thm)],[c_14095,c_107]) ).
tcf(c_14097,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,join(zero,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_14096,c_50,c_49]) ).
tcf(c_14098,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(X1,complement(iPr_def_12))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14076,c_11762]) ).
tcf(c_14100,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),X2)))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_14065,c_50,c_49]) ).
tcf(c_14101,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(top,complement(iPr_def_12)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_14074,c_50,c_49]) ).
tcf(c_14102,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(top,complement(iPr_def_12)))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_14101,c_107]) ).
tcf(c_14106,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(X0,composition(X1,complement(converse(composition(X0,X1)))))) = complement(one),
inference(superposition,[status(thm)],[c_52,c_9621]) ).
tcf(c_14107,plain,
! [X0: $i] : join(complement(one),composition(join(iPr_def_10,X0),composition(top,complement(converse(join(iPr_def_10,composition(X0,top))))))) = complement(one),
inference(superposition,[status(thm)],[c_445,c_9621]) ).
tcf(c_14108,plain,
join(complement(one),complement(converse(one))) = complement(one),
inference(superposition,[status(thm)],[c_1708,c_9621]) ).
tcf(c_14120,plain,
! [X0: $i] : join(complement(one),composition(join(one,X0),complement(join(one,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_1723,c_9621]) ).
tcf(c_14121,plain,
! [X0: $i] : join(complement(one),composition(join(X0,one),complement(join(one,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_1729,c_9621]) ).
tcf(c_14122,plain,
! [X0: $i] : join(complement(one),composition(composition(top,X0),complement(composition(converse(X0),top)))) = complement(one),
inference(superposition,[status(thm)],[c_2357,c_9621]) ).
tcf(c_14124,plain,
! [X0: $i] : join(complement(one),join(composition(X0,complement(converse(X0))),complement(complement(one)))) = top,
inference(superposition,[status(thm)],[c_9621,c_375]) ).
tcf(c_14125,plain,
! [X0: $i,X1: $i] : join(complement(one),join(composition(X0,complement(converse(X0))),X1)) = join(complement(one),X1),
inference(superposition,[status(thm)],[c_9621,c_50]) ).
tcf(c_14128,plain,
! [X0: $i,X1: $i] : join(complement(one),join(X0,composition(X1,complement(converse(X1))))) = join(X0,complement(one)),
inference(superposition,[status(thm)],[c_9621,c_191]) ).
tcf(c_14130,plain,
! [X0: $i] : join(complement(one),join(complement(complement(one)),composition(X0,complement(converse(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_14124,c_50,c_49]) ).
tcf(c_14134,plain,
join(composition(converse(top),top),zero) = top,
inference(superposition,[status(thm)],[c_9546,c_11752]) ).
tcf(c_14135,plain,
! [X0: $i] : join(complement(X0),composition(top,X0)) = top,
inference(superposition,[status(thm)],[c_7732,c_11752]) ).
tcf(c_14136,plain,
join(top,composition(top,zero)) = top,
inference(superposition,[status(thm)],[c_107,c_11752]) ).
tcf(c_14138,plain,
join(iPr_def_11,composition(top,iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_1671,c_11752]) ).
tcf(c_14139,plain,
join(zero,composition(top,top)) = top,
inference(superposition,[status(thm)],[c_1431,c_11752]) ).
tcf(c_14141,plain,
! [X0: $i] : join(X0,join(composition(top,complement(X0)),complement(top))) = top,
inference(superposition,[status(thm)],[c_11752,c_375]) ).
tcf(c_14142,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(top,complement(X0)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_11752,c_50]) ).
tcf(c_14144,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(top,complement(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_11752,c_50]) ).
tcf(c_14146,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(top,complement(X0)))) = join(X1,top),
inference(superposition,[status(thm)],[c_11752,c_191]) ).
tcf(c_14147,plain,
composition(top,complement(zero)) = top,
inference(superposition,[status(thm)],[c_11752,c_1336]) ).
tcf(c_14152,plain,
join(iPr_def_11,complement(join(composition(top,complement(iPr_def_11)),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_11752,c_11158]) ).
tcf(c_14154,plain,
join(iPr_def_12,composition(composition(top,complement(iPr_def_11)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11752,c_391]) ).
tcf(c_14158,plain,
! [X0: $i] : join(X0,converse(composition(top,complement(converse(X0))))) = converse(top),
inference(superposition,[status(thm)],[c_11752,c_221]) ).
tcf(c_14159,plain,
composition(converse(top),complement(join(iPr_def_10,composition(composition(top,complement(iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_11752,c_9562]) ).
tcf(c_14160,plain,
join(iPr_def_10,composition(composition(top,complement(iPr_def_10)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11752,c_392]) ).
tcf(c_14163,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_11752,c_434]) ).
tcf(c_14164,plain,
join(one,converse(composition(top,complement(one)))) = converse(top),
inference(superposition,[status(thm)],[c_11752,c_1723]) ).
tcf(c_14165,plain,
! [X0: $i] : join(X0,composition(composition(top,complement(one)),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_11752,c_1767]) ).
tcf(c_14169,plain,
join(iPr_def_11,composition(top,complement(iPr_def_12))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_11752,c_3214]) ).
tcf(c_14174,plain,
join(iPr_def_11,composition(top,complement(complement(converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_11752,c_12338]) ).
tcf(c_14175,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(composition(complement(join(iPr_def_11,X0)),top)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11752,c_13393]) ).
tcf(c_14178,plain,
join(zero,composition(converse(top),top)) = top,
inference(theory_normalisation,[status(thm)],[c_14134,c_50,c_49]) ).
tcf(c_14181,plain,
join(one,converse(composition(top,complement(one)))) = top,
inference(light_normalisation,[status(thm)],[c_14164,c_2343]) ).
tcf(c_14182,plain,
! [X0: $i] : join(X0,converse(composition(top,complement(converse(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_14158,c_2343]) ).
tcf(c_14185,plain,
! [X0: $i] : join(X0,join(complement(top),composition(top,complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_14141,c_50,c_49]) ).
tcf(c_14186,plain,
! [X0: $i] : join(X0,join(zero,composition(top,complement(X0)))) = top,
inference(light_normalisation,[status(thm)],[c_14185,c_107]) ).
tcf(c_14188,plain,
join(iPr_def_12,composition(composition(top,iPr_def_10),top)) = top,
inference(light_normalisation,[status(thm)],[c_14154,c_1671,c_11762]) ).
tcf(c_14190,plain,
join(iPr_def_11,complement(join(top,composition(top,complement(iPr_def_11))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_14152,c_50,c_49]) ).
tcf(c_14191,plain,
join(iPr_def_11,complement(join(top,composition(top,iPr_def_10)))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_14190,c_107,c_1671]) ).
tcf(c_14209,plain,
join(iPr_def_11,join(composition(top,iPr_def_10),complement(top))) = top,
inference(superposition,[status(thm)],[c_14138,c_375]) ).
tcf(c_14210,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,iPr_def_10),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_14138,c_50]) ).
tcf(c_14211,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,iPr_def_10))) = join(X0,top),
inference(superposition,[status(thm)],[c_14138,c_191]) ).
tcf(c_14217,plain,
join(iPr_def_11,complement(join(composition(top,iPr_def_10),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_14138,c_11158]) ).
tcf(c_14219,plain,
join(iPr_def_12,composition(composition(top,iPr_def_10),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_14138,c_391]) ).
tcf(c_14225,plain,
join(iPr_def_11,join(complement(top),composition(top,iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_14209,c_50,c_49]) ).
tcf(c_14228,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_14211,c_7015]) ).
tcf(c_14229,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,iPr_def_10),X0)) = top,
inference(light_normalisation,[status(thm)],[c_14210,c_7096]) ).
tcf(c_14230,plain,
join(iPr_def_11,complement(join(top,composition(top,iPr_def_10)))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_14217,c_50,c_49]) ).
tcf(c_14243,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),X1)) = join(X1,iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_13394]) ).
tcf(c_14246,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(iPr_def_11,X1))),top)) = join(composition(X0,top),iPr_def_10),
inference(superposition,[status(thm)],[c_54,c_13394]) ).
tcf(c_14269,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(complement(iPr_def_11),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3207,c_13394]) ).
tcf(c_14283,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(complement(top),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_12833,c_13394]) ).
tcf(c_14287,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,composition(complement(join(iPr_def_11,X1)),top)),complement(join(X0,iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_13394,c_375]) ).
tcf(c_14291,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,composition(complement(join(iPr_def_11,X2)),top)))) = join(X0,join(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_13394,c_191]) ).
tcf(c_14292,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,composition(complement(join(iPr_def_11,X1)),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_13394,c_191]) ).
tcf(c_14295,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,iPr_def_10)),complement(join(iPr_def_10,composition(join(X0,composition(complement(join(iPr_def_11,X1)),top)),top)))) = zero,
inference(superposition,[status(thm)],[c_13394,c_9562]) ).
tcf(c_14296,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(iPr_def_11,X1)),top)),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13394,c_392]) ).
tcf(c_14297,plain,
join(iPr_def_10,composition(complement(join(iPr_def_11,iPr_def_10)),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_13394,c_13365]) ).
tcf(c_14300,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_13394,c_7878]) ).
tcf(c_14305,plain,
! [X0: $i,X1: $i] : join(composition(complement(join(iPr_def_11,X0)),top),iPr_def_10) = join(iPr_def_10,composition(complement(join(iPr_def_11,X1)),top)),
inference(superposition,[status(thm)],[c_13394,c_13393]) ).
tcf(c_14320,plain,
join(iPr_def_10,composition(complement(join(iPr_def_10,iPr_def_11)),top)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_14297,c_50,c_49]) ).
tcf(c_14323,plain,
! [X0: $i] : join(iPr_def_10,join(X0,composition(zero,top))) = join(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_14283,c_107]) ).
tcf(c_14331,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(iPr_def_11,X1))),top)) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_14246,c_50,c_49]) ).
tcf(c_14332,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)) = join(iPr_def_10,composition(complement(join(iPr_def_11,X1)),top)),
inference(theory_normalisation,[status(thm)],[c_14305,c_50,c_49]) ).
tcf(c_14334,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(complement(join(iPr_def_11,X1)),top),complement(join(X0,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_14287,c_50,c_49]) ).
tcf(c_14337,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(iPr_def_11,X1)),top)),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14296,c_401]) ).
tcf(c_14343,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(converse(X0),zero),complement(composition(zero,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2758,c_8217]) ).
tcf(c_14345,plain,
! [X0: $i] : join(iPr_def_11,composition(join(top,converse(X0)),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3143,c_7096]) ).
tcf(c_14347,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_3180,c_52]) ).
tcf(c_14348,plain,
! [X0: $i] : join(iPr_def_11,composition(X0,composition(top,complement(composition(top,composition(converse(X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_55,c_14347]) ).
tcf(c_14349,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(converse(X0),X1),composition(top,complement(composition(top,composition(join(converse(X1),X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_985,c_14347]) ).
tcf(c_14350,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(X1)),composition(top,complement(composition(top,composition(join(converse(X0),X1),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_221,c_14347]) ).
tcf(c_14351,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(X1)),composition(top,complement(composition(top,composition(join(X1,converse(X0)),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_765,c_14347]) ).
tcf(c_14352,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(converse(X0),X1),composition(top,complement(composition(top,composition(join(X0,converse(X1)),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_222,c_14347]) ).
tcf(c_14353,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(X0,converse(X1)),composition(top,complement(composition(top,composition(composition(X1,converse(X0)),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_225,c_14347]) ).
tcf(c_14354,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(converse(X0),X1),composition(top,complement(composition(top,composition(composition(converse(X1),X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_226,c_14347]) ).
tcf(c_14355,plain,
join(iPr_def_11,composition(top,composition(top,complement(composition(top,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2343,c_14347]) ).
tcf(c_14356,plain,
join(iPr_def_11,composition(zero,composition(top,complement(composition(top,composition(zero,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1950,c_14347]) ).
tcf(c_14357,plain,
join(iPr_def_11,composition(one,composition(top,complement(composition(top,composition(one,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1689,c_14347]) ).
tcf(c_14358,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),composition(top,complement(composition(top,composition(join(one,X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1723,c_14347]) ).
tcf(c_14359,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),composition(top,complement(composition(top,composition(join(X0,one),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1729,c_14347]) ).
tcf(c_14360,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(converse(X0),top),composition(top,complement(composition(top,composition(composition(top,X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2357,c_14347]) ).
tcf(c_14361,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,X1)),composition(top,complement(composition(top,composition(X0,composition(X1,iPr_def_10))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_52,c_14347]) ).
tcf(c_14362,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(X0,top))),composition(top,complement(composition(top,composition(join(iPr_def_10,X0),composition(top,iPr_def_10))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_14347]) ).
tcf(c_14363,plain,
join(iPr_def_11,composition(converse(one),composition(top,complement(composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_14347]) ).
tcf(c_14364,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(one,X0)),composition(top,complement(composition(top,join(iPr_def_10,composition(X0,iPr_def_10))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1767,c_14347]) ).
tcf(c_14365,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(X0,one)),composition(top,complement(composition(top,join(iPr_def_10,composition(X0,iPr_def_10))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1782,c_14347]) ).
tcf(c_14366,plain,
join(iPr_def_11,composition(converse(zero),composition(top,complement(composition(top,zero))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8217,c_14347]) ).
tcf(c_14367,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_11)),composition(top,complement(composition(top,zero))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_3196,c_14347]) ).
tcf(c_14368,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),composition(top,complement(composition(top,zero))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7459,c_14347]) ).
tcf(c_14369,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(iPr_def_12,X0))),composition(top,complement(composition(top,zero))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8919,c_14347]) ).
tcf(c_14371,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_14347,c_375]) ).
tcf(c_14372,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_14347,c_50]) ).
tcf(c_14373,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(X1),composition(top,complement(composition(top,composition(X1,iPr_def_10))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_14347,c_191]) ).
tcf(c_14379,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_14347,c_11158]) ).
tcf(c_14381,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_14347,c_391]) ).
tcf(c_14388,plain,
join(iPr_def_11,composition(zero,composition(top,complement(composition(top,zero))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14366,c_1950]) ).
tcf(c_14389,plain,
join(iPr_def_11,composition(one,composition(top,complement(composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14363,c_1689]) ).
tcf(c_14390,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_14371,c_50,c_49]) ).
tcf(c_14391,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))))) = top,
inference(light_normalisation,[status(thm)],[c_14390,c_1671]) ).
tcf(c_14392,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_14391,c_50,c_49]) ).
tcf(c_14394,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_14381,c_116]) ).
tcf(c_14395,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),composition(top,complement(composition(top,join(iPr_def_10,composition(X0,iPr_def_10))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14365,c_1729]) ).
tcf(c_14397,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_14379,c_50,c_49]) ).
tcf(c_14410,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1)) = join(X1,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_9023]) ).
tcf(c_14413,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(X1)),complement(composition(X1,iPr_def_10)))) = join(composition(X0,complement(composition(X1,iPr_def_10))),iPr_def_11),
inference(superposition,[status(thm)],[c_54,c_9023]) ).
tcf(c_14419,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),complement(composition(X0,iPr_def_10)))) = join(complement(composition(X0,iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_1767,c_9023]) ).
tcf(c_14421,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(join(converse(X1),X2),complement(composition(join(converse(X2),X1),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_985,c_9023]) ).
tcf(c_14422,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_221,c_9023]) ).
tcf(c_14423,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(join(X1,converse(X2)),complement(composition(join(X2,converse(X1)),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_765,c_9023]) ).
tcf(c_14424,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_222,c_9023]) ).
tcf(c_14425,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(composition(X1,converse(X2)),complement(composition(composition(X2,converse(X1)),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_225,c_9023]) ).
tcf(c_14426,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(composition(converse(X1),X2),complement(composition(composition(converse(X2),X1),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_226,c_9023]) ).
tcf(c_14427,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,complement(composition(top,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2343,c_9023]) ).
tcf(c_14428,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(zero,complement(composition(zero,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1950,c_9023]) ).
tcf(c_14429,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(one,complement(composition(one,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1689,c_9023]) ).
tcf(c_14430,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(join(one,converse(X1)),complement(composition(join(one,X1),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1723,c_9023]) ).
tcf(c_14431,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(join(one,converse(X1)),complement(composition(join(X1,one),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1729,c_9023]) ).
tcf(c_14432,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(composition(converse(X1),top),complement(composition(composition(top,X1),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2357,c_9023]) ).
tcf(c_14434,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(join(iPr_def_10,composition(X1,top))),complement(composition(join(iPr_def_10,X1),composition(top,iPr_def_10)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_445,c_9023]) ).
tcf(c_14435,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(one),complement(iPr_def_10)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1708,c_9023]) ).
tcf(c_14436,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(join(one,X1)),complement(join(iPr_def_10,composition(X1,iPr_def_10)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1767,c_9023]) ).
tcf(c_14437,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(join(X1,one)),complement(join(iPr_def_10,composition(X1,iPr_def_10)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1782,c_9023]) ).
tcf(c_14438,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(zero),complement(zero)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_8217,c_9023]) ).
tcf(c_14439,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(converse(iPr_def_11)),complement(zero)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_3196,c_9023]) ).
tcf(c_14440,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(converse(iPr_def_12)),complement(zero)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_7459,c_9023]) ).
tcf(c_14441,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(converse(composition(iPr_def_12,X1))),complement(zero)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_8919,c_9023]) ).
tcf(c_14443,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_9023,c_375]) ).
tcf(c_14447,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,composition(converse(X2),complement(composition(X2,iPr_def_10)))))) = join(X0,join(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_9023,c_191]) ).
tcf(c_14448,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,composition(converse(X1),complement(composition(X1,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_9023,c_191]) ).
tcf(c_14453,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_9023,c_11158]) ).
tcf(c_14455,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),top)) = composition(join(X0,iPr_def_11),top),
inference(superposition,[status(thm)],[c_9023,c_391]) ).
tcf(c_14462,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11) = join(iPr_def_11,composition(converse(X1),complement(composition(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_9023,c_434]) ).
tcf(c_14481,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(zero,top))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14438,c_1431,c_1950]) ).
tcf(c_14482,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(one,iPr_def_11))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14435,c_192,c_1689]) ).
tcf(c_14487,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(converse(iPr_def_12)),top))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14440,c_1431]) ).
tcf(c_14488,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(converse(iPr_def_11)),top))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14439,c_1431]) ).
tcf(c_14489,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(converse(composition(iPr_def_12,X1))),top))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14441,c_1431]) ).
tcf(c_14494,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(composition(converse(X1),complement(composition(X1,iPr_def_10))),complement(join(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_14443,c_50,c_49]) ).
tcf(c_14495,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,converse(X0)),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,complement(composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_14419,c_50,c_49]) ).
tcf(c_14497,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,composition(converse(X1),complement(composition(X1,iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_14462,c_50,c_49]) ).
tcf(c_14499,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),top)) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14455,c_402]) ).
tcf(c_14504,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(X1)),complement(composition(X1,iPr_def_10)))) = join(iPr_def_11,composition(X0,complement(composition(X1,iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_14413,c_50,c_49]) ).
tcf(c_14505,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_14453,c_50,c_49]) ).
tcf(c_14515,plain,
! [X0: $i] : join(iPr_def_11,composition(join(top,X0),iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_54,c_14229]) ).
tcf(c_14517,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(composition(top,iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_14229]) ).
tcf(c_14524,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),composition(top,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1782,c_14229]) ).
tcf(c_14525,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),composition(top,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1767,c_14229]) ).
tcf(c_14528,plain,
join(iPr_def_11,composition(top,composition(top,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11631,c_14229]) ).
tcf(c_14532,plain,
! [X0: $i] : join(iPr_def_11,join(join(composition(top,iPr_def_10),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_14229,c_375]) ).
tcf(c_14533,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(composition(top,iPr_def_10),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_14229,c_50]) ).
tcf(c_14534,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(composition(top,iPr_def_10),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_14229,c_191]) ).
tcf(c_14540,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(composition(top,iPr_def_10),X0),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_14229,c_11158]) ).
tcf(c_14542,plain,
! [X0: $i] : join(iPr_def_12,composition(join(composition(top,iPr_def_10),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_14229,c_391]) ).
tcf(c_14565,plain,
! [X0: $i] : join(iPr_def_11,join(complement(top),join(X0,composition(top,iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_14532,c_50,c_49]) ).
tcf(c_14566,plain,
! [X0: $i] : join(iPr_def_11,join(zero,join(X0,composition(top,iPr_def_10)))) = top,
inference(light_normalisation,[status(thm)],[c_14565,c_107]) ).
tcf(c_14567,plain,
! [X0: $i] : join(iPr_def_12,composition(join(composition(top,iPr_def_10),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_14542,c_11762]) ).
tcf(c_14569,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(top,iPr_def_10),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_14533,c_50,c_49]) ).
tcf(c_14570,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,composition(top,iPr_def_10))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_14540,c_50,c_49]) ).
tcf(c_14571,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,composition(top,iPr_def_10))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_14570,c_107]) ).
tcf(c_14573,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_12,X0)) = join(iPr_def_12,X0),
inference(light_normalisation,[status(thm)],[c_10245,c_11779]) ).
tcf(c_14582,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,X1),top)) = composition(join(X0,join(iPr_def_12,X1)),top),
inference(superposition,[status(thm)],[c_191,c_11839]) ).
tcf(c_14583,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(join(iPr_def_12,X0))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_375,c_11839]) ).
tcf(c_14586,plain,
join(iPr_def_12,composition(zero,top)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_1429,c_11839]) ).
tcf(c_14587,plain,
join(iPr_def_12,composition(converse(complement(converse(iPr_def_12))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_2345,c_11839]) ).
tcf(c_14588,plain,
join(iPr_def_12,composition(iPr_def_12,top)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_7769,c_11839]) ).
tcf(c_14590,plain,
! [X0: $i] : join(iPr_def_12,composition(join(iPr_def_12,X0),top)) = composition(join(iPr_def_12,X0),top),
inference(superposition,[status(thm)],[c_7878,c_11839]) ).
tcf(c_14591,plain,
join(iPr_def_12,composition(composition(complement(one),iPr_def_12),top)) = composition(composition(top,iPr_def_12),top),
inference(superposition,[status(thm)],[c_11631,c_11839]) ).
tcf(c_14592,plain,
join(iPr_def_12,composition(composition(top,complement(iPr_def_12)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11752,c_11839]) ).
tcf(c_14594,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_12,composition(X0,top))),complement(composition(join(iPr_def_12,X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11839,c_433]) ).
tcf(c_14595,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_12,composition(X0,top)),composition(X1,top)) = composition(join(join(iPr_def_12,X0),X1),top),
inference(superposition,[status(thm)],[c_11839,c_54]) ).
tcf(c_14596,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,composition(X0,top)),X1) = composition(join(iPr_def_12,X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_11839,c_52]) ).
tcf(c_14597,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(iPr_def_12,composition(X1,top))) = composition(join(X0,join(iPr_def_12,X1)),top),
inference(superposition,[status(thm)],[c_11839,c_54]) ).
tcf(c_14598,plain,
! [X0: $i] : join(complement(top),composition(converse(join(iPr_def_12,X0)),complement(join(iPr_def_12,composition(X0,top))))) = complement(top),
inference(superposition,[status(thm)],[c_11839,c_76]) ).
tcf(c_14599,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_12,composition(X0,top))),X1) = composition(join(iPr_def_10,join(iPr_def_12,X0)),composition(top,X1)),
inference(superposition,[status(thm)],[c_11839,c_445]) ).
tcf(c_14600,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(iPr_def_12,X0))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_11839,c_9562]) ).
tcf(c_14601,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,X0)),complement(join(iPr_def_12,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_11839,c_9545]) ).
tcf(c_14602,plain,
join(iPr_def_12,composition(iPr_def_11,top)) = join(iPr_def_12,composition(iPr_def_12,top)),
inference(superposition,[status(thm)],[c_11839,c_402]) ).
tcf(c_14603,plain,
join(iPr_def_10,composition(iPr_def_12,top)) = join(iPr_def_12,composition(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_11839,c_401]) ).
tcf(c_14604,plain,
join(top,composition(iPr_def_12,top)) = join(iPr_def_12,composition(one,top)),
inference(superposition,[status(thm)],[c_11839,c_1782]) ).
tcf(c_14607,plain,
join(top,iPr_def_12) = join(iPr_def_12,top),
inference(light_normalisation,[status(thm)],[c_14604,c_11689,c_11779]) ).
tcf(c_14608,plain,
join(iPr_def_12,iPr_def_10) = top,
inference(light_normalisation,[status(thm)],[c_14603,c_193,c_11774,c_11779]) ).
tcf(c_14611,plain,
join(iPr_def_12,composition(composition(top,complement(iPr_def_12)),top)) = top,
inference(light_normalisation,[status(thm)],[c_14592,c_11762]) ).
tcf(c_14612,plain,
join(iPr_def_12,composition(converse(complement(converse(iPr_def_12))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14587,c_11762]) ).
tcf(c_14614,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,complement(join(iPr_def_12,X0))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14583,c_11762]) ).
tcf(c_14616,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_12,converse(X0))),zero) = zero,
inference(light_normalisation,[status(thm)],[c_14600,c_107,c_9815,c_10213,c_11774]) ).
tcf(c_14617,plain,
! [X0: $i] : join(zero,composition(converse(join(iPr_def_12,X0)),complement(join(iPr_def_12,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_14598,c_107]) ).
tcf(c_14618,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = composition(join(X0,join(iPr_def_12,X1)),top),
inference(theory_normalisation,[status(thm)],[c_14597,c_50,c_49]) ).
tcf(c_14619,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = composition(join(iPr_def_12,join(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_14595,c_50,c_49]) ).
tcf(c_14627,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,X1),top)) = composition(join(X0,join(X1,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_50,c_11846]) ).
tcf(c_14633,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_12,composition(X0,top))),complement(composition(join(X0,iPr_def_12),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11846,c_433]) ).
tcf(c_14635,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,composition(X0,top)),X1) = composition(join(X0,iPr_def_12),composition(top,X1)),
inference(superposition,[status(thm)],[c_11846,c_52]) ).
tcf(c_14636,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(iPr_def_12,composition(X1,top))) = composition(join(X0,join(X1,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_11846,c_54]) ).
tcf(c_14637,plain,
! [X0: $i] : join(complement(top),composition(converse(join(X0,iPr_def_12)),complement(join(iPr_def_12,composition(X0,top))))) = complement(top),
inference(superposition,[status(thm)],[c_11846,c_76]) ).
tcf(c_14638,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_12,composition(X0,top))),X1) = composition(join(iPr_def_10,join(X0,iPr_def_12)),composition(top,X1)),
inference(superposition,[status(thm)],[c_11846,c_445]) ).
tcf(c_14639,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(X0,iPr_def_12))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_11846,c_9562]) ).
tcf(c_14640,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),complement(join(iPr_def_12,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_11846,c_9545]) ).
tcf(c_14644,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_11),composition(top,X1)) = composition(join(X0,iPr_def_12),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_14635,c_10233]) ).
tcf(c_14646,plain,
! [X0: $i] : join(zero,composition(converse(join(X0,iPr_def_12)),complement(join(iPr_def_12,composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_14637,c_107]) ).
tcf(c_14647,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,top))) = composition(join(X0,join(X1,iPr_def_12)),top),
inference(theory_normalisation,[status(thm)],[c_14636,c_50,c_49]) ).
tcf(c_14668,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_10)),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_225,c_12931]) ).
tcf(c_14672,plain,
composition(converse(zero),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_8201,c_12931]) ).
tcf(c_14674,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12931,c_433]) ).
tcf(c_14675,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_12931,c_54]) ).
tcf(c_14676,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_12931,c_52]) ).
tcf(c_14677,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_12931,c_54]) ).
tcf(c_14678,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_12931,c_76]) ).
tcf(c_14679,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_12931,c_226]) ).
tcf(c_14680,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(composition(iPr_def_10,X0))),composition(complement(zero),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12931,c_1679]) ).
tcf(c_14681,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_12931,c_1680]) ).
tcf(c_14682,plain,
composition(zero,iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_14672,c_1950]) ).
tcf(c_14684,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_14681,c_1431]) ).
tcf(c_14687,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_14677,c_50,c_49]) ).
tcf(c_14688,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14674,c_1950]) ).
tcf(c_14690,plain,
! [X0: $i] : composition(composition(X0,converse(iPr_def_11)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_225,c_13261]) ).
tcf(c_14696,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(composition(iPr_def_11,X0)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13261,c_433]) ).
tcf(c_14697,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_13261,c_54]) ).
tcf(c_14698,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_13261,c_52]) ).
tcf(c_14699,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_13261,c_54]) ).
tcf(c_14700,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_13261,c_76]) ).
tcf(c_14701,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_11,X0)) = converse(zero),
inference(superposition,[status(thm)],[c_13261,c_226]) ).
tcf(c_14702,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(iPr_def_11,X0))),composition(top,complement(composition(top,zero))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13261,c_14347]) ).
tcf(c_14703,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(converse(composition(iPr_def_11,X0))),complement(zero)),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_13261,c_434]) ).
tcf(c_14704,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_13261,c_349]) ).
tcf(c_14705,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_11,X0),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13261,c_432]) ).
tcf(c_14706,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(converse(composition(iPr_def_11,X1))),complement(zero)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_13261,c_9023]) ).
tcf(c_14707,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(composition(iPr_def_11,X1)))),complement(composition(X0,zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13261,c_433]) ).
tcf(c_14709,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(iPr_def_11,X0),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14705,c_1431]) ).
tcf(c_14710,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_14704,c_1431]) ).
tcf(c_14712,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_14699,c_50,c_49]) ).
tcf(c_14713,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_14707,c_1431,c_8201]) ).
tcf(c_14714,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(converse(composition(iPr_def_11,X1))),top))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14706,c_1431]) ).
tcf(c_14715,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_14703,c_1431]) ).
tcf(c_14716,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(composition(iPr_def_11,X0)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14696,c_1950]) ).
tcf(c_14718,plain,
join(iPr_def_10,join(complement(composition(top,iPr_def_11)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13295,c_375]) ).
tcf(c_14719,plain,
! [X0: $i] : join(iPr_def_10,join(complement(composition(top,iPr_def_11)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_13295,c_50]) ).
tcf(c_14720,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(composition(top,iPr_def_11)))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_13295,c_191]) ).
tcf(c_14723,plain,
composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(complement(composition(top,iPr_def_11)),top)))) = zero,
inference(superposition,[status(thm)],[c_13295,c_9562]) ).
tcf(c_14724,plain,
join(iPr_def_10,composition(complement(composition(top,iPr_def_11)),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13295,c_392]) ).
tcf(c_14728,plain,
join(iPr_def_10,join(complement(iPr_def_10),complement(composition(top,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_14718,c_50,c_49]) ).
tcf(c_14729,plain,
join(iPr_def_10,join(iPr_def_11,complement(composition(top,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_14728,c_192]) ).
tcf(c_14735,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_50,c_13297]) ).
tcf(c_14741,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(X0,iPr_def_11)),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13297,c_375]) ).
tcf(c_14742,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_13297,c_50]) ).
tcf(c_14743,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_13297,c_191]) ).
tcf(c_14746,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(complement(join(X0,iPr_def_11)),top)))) = zero,
inference(superposition,[status(thm)],[c_13297,c_9562]) ).
tcf(c_14747,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(X0,iPr_def_11)),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13297,c_392]) ).
tcf(c_14752,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_14741,c_50,c_49]) ).
tcf(c_14761,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,X1),top)) = composition(join(join(iPr_def_10,X1),X0),top),
inference(superposition,[status(thm)],[c_49,c_9109]) ).
tcf(c_14765,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,X1),top)) = composition(join(iPr_def_10,join(X0,X1)),top),
inference(superposition,[status(thm)],[c_191,c_9109]) ).
tcf(c_14766,plain,
! [X0: $i] : join(iPr_def_10,composition(join(zero,X0),top)) = composition(join(iPr_def_10,X0),top),
inference(superposition,[status(thm)],[c_1336,c_9109]) ).
tcf(c_14767,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(join(X0,iPr_def_10))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_375,c_9109]) ).
tcf(c_14768,plain,
! [X0: $i] : join(iPr_def_10,composition(join(top,X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7096,c_9109]) ).
tcf(c_14769,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_11),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7122,c_9109]) ).
tcf(c_14770,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(X0,iPr_def_11)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7305,c_9109]) ).
tcf(c_14771,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(iPr_def_11,X0)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7698,c_9109]) ).
tcf(c_14772,plain,
! [X0: $i] : join(iPr_def_10,composition(join(join(iPr_def_10,X0),X0),top)) = composition(join(iPr_def_10,X0),top),
inference(superposition,[status(thm)],[c_7769,c_9109]) ).
tcf(c_14773,plain,
join(iPr_def_10,composition(join(iPr_def_11,iPr_def_11),top)) = composition(join(iPr_def_10,iPr_def_11),top),
inference(superposition,[status(thm)],[c_2326,c_9109]) ).
tcf(c_14774,plain,
join(iPr_def_10,composition(join(iPr_def_11,iPr_def_12),top)) = composition(join(iPr_def_11,iPr_def_10),top),
inference(superposition,[status(thm)],[c_4183,c_9109]) ).
tcf(c_14775,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(X0)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7426,c_9109]) ).
tcf(c_14776,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(X0,join(X1,iPr_def_11))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7700,c_9109]) ).
tcf(c_14777,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(X0,join(iPr_def_11,X1))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7830,c_9109]) ).
tcf(c_14779,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))),top)) = composition(join(iPr_def_10,iPr_def_11),top),
inference(superposition,[status(thm)],[c_9023,c_9109]) ).
tcf(c_14780,plain,
join(iPr_def_10,composition(join(iPr_def_11,complement(iPr_def_12)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9125,c_9109]) ).
tcf(c_14781,plain,
join(iPr_def_10,composition(join(iPr_def_10,iPr_def_12),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11837,c_9109]) ).
tcf(c_14782,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(X0,iPr_def_12)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12163,c_9109]) ).
tcf(c_14783,plain,
join(iPr_def_10,composition(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),top)) = composition(join(iPr_def_10,iPr_def_11),top),
inference(superposition,[status(thm)],[c_12339,c_9109]) ).
tcf(c_14784,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(X0))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12833,c_9109]) ).
tcf(c_14785,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,join(X0,complement(iPr_def_12))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13561,c_9109]) ).
tcf(c_14786,plain,
join(iPr_def_10,composition(join(iPr_def_10,complement(iPr_def_12)),top)) = composition(join(iPr_def_10,complement(iPr_def_12)),top),
inference(superposition,[status(thm)],[c_13166,c_9109]) ).
tcf(c_14787,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)),top)) = composition(join(iPr_def_10,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13394,c_9109]) ).
tcf(c_14791,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(iPr_def_10)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_59,c_9109]) ).
tcf(c_14792,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,X2)),top)) = composition(join(X0,join(X1,join(iPr_def_10,X2))),top),
inference(superposition,[status(thm)],[c_191,c_9109]) ).
tcf(c_14793,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_11),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_209,c_9109]) ).
tcf(c_14794,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(join(iPr_def_10,X1)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_375,c_9109]) ).
tcf(c_14795,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(complement(iPr_def_10),X1)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7124,c_9109]) ).
tcf(c_14796,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(iPr_def_11,X1)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7123,c_9109]) ).
tcf(c_14797,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,top),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7015,c_9109]) ).
tcf(c_14798,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,zero),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_1429,c_9109]) ).
tcf(c_14799,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_12),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11774,c_9109]) ).
tcf(c_14800,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,iPr_def_11)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7122,c_9109]) ).
tcf(c_14801,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_11))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7305,c_9109]) ).
tcf(c_14802,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_11,X2))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7698,c_9109]) ).
tcf(c_14803,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(iPr_def_10)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_2345,c_9109]) ).
tcf(c_14805,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),top))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_1679,c_9109]) ).
tcf(c_14806,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_11)))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_1680,c_9109]) ).
tcf(c_14808,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(iPr_def_10))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7426,c_9109]) ).
tcf(c_14809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(X3,iPr_def_11)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7700,c_9109]) ).
tcf(c_14810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(iPr_def_11,X3)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7830,c_9109]) ).
tcf(c_14811,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(iPr_def_10,X1)),top)) = composition(join(X0,join(iPr_def_10,X1)),top),
inference(superposition,[status(thm)],[c_7878,c_9109]) ).
tcf(c_14812,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(iPr_def_11,X1))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_8588,c_9109]) ).
tcf(c_14813,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(iPr_def_12,X1)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11838,c_9109]) ).
tcf(c_14814,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(complement(one),iPr_def_10)),top)) = composition(join(X0,composition(top,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_11631,c_9109]) ).
tcf(c_14815,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,complement(iPr_def_10))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11752,c_9109]) ).
tcf(c_14816,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,iPr_def_11)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11759,c_9109]) ).
tcf(c_14817,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,iPr_def_12)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11837,c_9109]) ).
tcf(c_14818,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,iPr_def_12)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11952,c_9109]) ).
tcf(c_14819,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(composition(top,iPr_def_11),X1)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_11990,c_9109]) ).
tcf(c_14820,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_12))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_12163,c_9109]) ).
tcf(c_14821,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(composition(top,iPr_def_12),X1)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_12210,c_9109]) ).
tcf(c_14822,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,complement(iPr_def_10)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_12833,c_9109]) ).
tcf(c_14823,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(complement(iPr_def_12),X1)),top)) = composition(join(X0,join(complement(iPr_def_12),X1)),top),
inference(superposition,[status(thm)],[c_13165,c_9109]) ).
tcf(c_14824,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(iPr_def_12))),top)) = composition(join(X0,join(X1,complement(iPr_def_12))),top),
inference(superposition,[status(thm)],[c_13166,c_9109]) ).
tcf(c_14825,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(complement(iPr_def_12),top)),top)) = composition(join(X0,composition(complement(iPr_def_12),top)),top),
inference(superposition,[status(thm)],[c_13170,c_9109]) ).
tcf(c_14826,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(X1,iPr_def_11))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13297,c_9109]) ).
tcf(c_14827,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(composition(top,iPr_def_11))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13295,c_9109]) ).
tcf(c_14829,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(X1,iPr_def_11)),top)),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13389,c_9109]) ).
tcf(c_14830,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(X1,join(iPr_def_11,X2))),top)),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13365,c_9109]) ).
tcf(c_14831,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(complement(composition(top,iPr_def_11)),top)),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13387,c_9109]) ).
tcf(c_14832,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(composition(complement(join(iPr_def_11,X1)),top),X2)),top)) = composition(join(X0,join(iPr_def_10,X2)),top),
inference(superposition,[status(thm)],[c_13393,c_9109]) ).
tcf(c_14833,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,composition(complement(join(iPr_def_11,X2)),top))),top)) = composition(join(X0,join(X1,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_13394,c_9109]) ).
tcf(c_14834,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,X1),top))),complement(composition(join(X0,join(iPr_def_10,X1)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9109,c_433]) ).
tcf(c_14835,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_10,composition(join(X0,X1),top)),composition(X2,top)) = composition(join(join(X0,join(iPr_def_10,X1)),X2),top),
inference(superposition,[status(thm)],[c_9109,c_54]) ).
tcf(c_14836,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,composition(join(X0,X1),top)),X2) = composition(join(X0,join(iPr_def_10,X1)),composition(top,X2)),
inference(superposition,[status(thm)],[c_9109,c_52]) ).
tcf(c_14837,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(iPr_def_10,composition(join(X1,X2),top))) = composition(join(X0,join(X1,join(iPr_def_10,X2))),top),
inference(superposition,[status(thm)],[c_9109,c_54]) ).
tcf(c_14838,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(join(X0,join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(join(X0,X1),top))))) = complement(top),
inference(superposition,[status(thm)],[c_9109,c_76]) ).
tcf(c_14839,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top))),X2) = composition(join(iPr_def_10,join(X0,join(iPr_def_10,X1))),composition(top,X2)),
inference(superposition,[status(thm)],[c_9109,c_445]) ).
tcf(c_14840,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,X1)))),complement(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top))))) = zero,
inference(superposition,[status(thm)],[c_9109,c_9562]) ).
tcf(c_14842,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,X0),top)) = join(iPr_def_12,composition(join(iPr_def_10,X0),top)),
inference(superposition,[status(thm)],[c_9109,c_391]) ).
tcf(c_14843,plain,
! [X0: $i] : join(top,composition(join(iPr_def_10,X0),top)) = join(iPr_def_10,composition(join(one,X0),top)),
inference(superposition,[status(thm)],[c_9109,c_1767]) ).
tcf(c_14844,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_12,X0),top)) = join(iPr_def_12,composition(join(iPr_def_10,X0),top)),
inference(superposition,[status(thm)],[c_9109,c_11839]) ).
tcf(c_14855,plain,
join(iPr_def_10,composition(join(iPr_def_11,iPr_def_12),top)) = composition(join(iPr_def_10,iPr_def_11),top),
inference(theory_normalisation,[status(thm)],[c_14774,c_50,c_49]) ).
tcf(c_14857,plain,
join(iPr_def_10,composition(join(iPr_def_11,iPr_def_11),top)) = top,
inference(light_normalisation,[status(thm)],[c_14773,c_209,c_11762]) ).
tcf(c_14864,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(join(X0,iPr_def_10))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14767,c_11762]) ).
tcf(c_14867,plain,
! [X0: $i] : join(top,join(iPr_def_10,composition(X0,top))) = join(iPr_def_10,composition(join(one,X0),top)),
inference(light_normalisation,[status(thm)],[c_14843,c_392]) ).
tcf(c_14868,plain,
! [X0: $i] : join(iPr_def_10,join(top,composition(X0,top))) = join(iPr_def_10,composition(join(one,X0),top)),
inference(theory_normalisation,[status(thm)],[c_14867,c_50,c_49]) ).
tcf(c_14871,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,iPr_def_12)),top)) = top,
inference(light_normalisation,[status(thm)],[c_14818,c_7015,c_11762]) ).
tcf(c_14873,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,iPr_def_11)),top)) = top,
inference(light_normalisation,[status(thm)],[c_14816,c_7015,c_11762]) ).
tcf(c_14880,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(X0,X0)),top)) = composition(join(iPr_def_10,X0),top),
inference(theory_normalisation,[status(thm)],[c_14772,c_50,c_49]) ).
tcf(c_14882,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,X1),top)) = composition(join(iPr_def_10,join(X1,X0)),top),
inference(theory_normalisation,[status(thm)],[c_14761,c_50,c_49]) ).
tcf(c_14883,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,complement(composition(top,iPr_def_11))),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14827,c_401]) ).
tcf(c_14884,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(X1,iPr_def_11))),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14826,c_401]) ).
tcf(c_14888,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(iPr_def_10)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14803,c_7015,c_11762]) ).
tcf(c_14890,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(composition(top,iPr_def_12),X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_14821,c_7015,c_11762]) ).
tcf(c_14891,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_12))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14820,c_7015,c_11762]) ).
tcf(c_14892,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(composition(top,iPr_def_11),X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_14819,c_7015,c_11762]) ).
tcf(c_14893,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top))) = join(iPr_def_10,composition(join(X0,X1),top)),
inference(light_normalisation,[status(thm)],[c_14811,c_9109]) ).
tcf(c_14897,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(complement(composition(top,iPr_def_11)),top)),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14831,c_401]) ).
tcf(c_14898,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(X1,iPr_def_11)),top)),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14829,c_401]) ).
tcf(c_14900,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(join(iPr_def_10,X1)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14794,c_7015,c_11762]) ).
tcf(c_14901,plain,
composition(join(iPr_def_10,iPr_def_10),top) = join(iPr_def_10,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_14787,c_193,c_13315]) ).
tcf(c_14902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(iPr_def_11,X3)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14810,c_7015,c_11762]) ).
tcf(c_14903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(X3,iPr_def_11)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_14809,c_7015,c_11762]) ).
tcf(c_14904,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_11)))),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14806,c_401]) ).
tcf(c_14907,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(X1,join(iPr_def_11,X2))),top)),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14830,c_401]) ).
tcf(c_14908,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_10,X1))),complement(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_14840,c_3871]) ).
tcf(c_14910,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,top),composition(join(X1,X2),top))) = composition(join(X0,join(X1,join(iPr_def_10,X2))),top),
inference(theory_normalisation,[status(thm)],[c_14837,c_50,c_49]) ).
tcf(c_14911,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(join(X0,X1),top),composition(X2,top))) = composition(join(X0,join(iPr_def_10,join(X1,X2))),top),
inference(theory_normalisation,[status(thm)],[c_14835,c_50,c_49]) ).
tcf(c_14912,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),top))),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_14805,c_401]) ).
tcf(c_14913,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,composition(complement(join(iPr_def_11,X2)),top))),top)) = join(iPr_def_10,composition(join(X0,X1),top)),
inference(light_normalisation,[status(thm)],[c_14833,c_472]) ).
tcf(c_14914,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top))),X2) = composition(join(X0,join(iPr_def_10,X1)),composition(top,X2)),
inference(light_normalisation,[status(thm)],[c_14839,c_3871]) ).
tcf(c_14939,plain,
composition(converse(composition(complement(iPr_def_12),top)),complement(composition(complement(iPr_def_12),top))) = zero,
inference(superposition,[status(thm)],[c_13170,c_12982]) ).
tcf(c_14944,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,composition(X0,composition(X1,top)))),complement(join(iPr_def_10,composition(X0,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_52,c_12982]) ).
tcf(c_14953,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))),complement(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top))))) = zero,
inference(superposition,[status(thm)],[c_9109,c_12982]) ).
tcf(c_14956,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(top,composition(X0,top)))),complement(join(iPr_def_10,join(top,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_1767,c_12982]) ).
tcf(c_14959,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_11839,c_12982]) ).
tcf(c_14961,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(join(iPr_def_10,composition(X0,top))),composition(complement(join(iPr_def_10,composition(X0,top))),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12982,c_433]) ).
tcf(c_14962,plain,
! [X0: $i,X1: $i] : composition(join(converse(join(iPr_def_10,composition(X0,top))),X1),complement(join(iPr_def_10,composition(X0,top)))) = join(zero,composition(X1,complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_12982,c_54]) ).
tcf(c_14963,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,composition(X0,top))),composition(complement(join(iPr_def_10,composition(X0,top))),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_12982,c_52]) ).
tcf(c_14964,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(iPr_def_10,composition(X1,top)))),complement(join(iPr_def_10,composition(X1,top)))) = join(composition(X0,complement(join(iPr_def_10,composition(X1,top)))),zero),
inference(superposition,[status(thm)],[c_12982,c_54]) ).
tcf(c_14966,plain,
! [X0: $i] : composition(join(one,converse(join(iPr_def_10,composition(X0,top)))),complement(join(iPr_def_10,composition(X0,top)))) = join(complement(join(iPr_def_10,composition(X0,top))),zero),
inference(superposition,[status(thm)],[c_12982,c_1767]) ).
tcf(c_14967,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(converse(join(iPr_def_10,composition(X0,top)))),complement(zero))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_12982,c_76]) ).
tcf(c_14968,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_10,composition(X0,top)))),join(iPr_def_10,composition(X0,top))) = converse(zero),
inference(superposition,[status(thm)],[c_12982,c_226]) ).
tcf(c_14970,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_10,composition(X0,top)))),join(iPr_def_10,composition(X0,top))) = zero,
inference(light_normalisation,[status(thm)],[c_14968,c_1950]) ).
tcf(c_14972,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(join(iPr_def_10,composition(X0,top))),composition(complement(join(iPr_def_10,composition(X0,top))),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14961,c_1950]) ).
tcf(c_14973,plain,
! [X0: $i] : composition(join(one,converse(join(iPr_def_10,composition(X0,top)))),complement(join(iPr_def_10,composition(X0,top)))) = join(zero,complement(join(iPr_def_10,composition(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_14966,c_50,c_49]) ).
tcf(c_14975,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(converse(join(iPr_def_10,composition(X0,top)))),top)) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(light_normalisation,[status(thm)],[c_14967,c_1431]) ).
tcf(c_14976,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(iPr_def_10,composition(X1,top)))),complement(join(iPr_def_10,composition(X1,top)))) = join(zero,composition(X0,complement(join(iPr_def_10,composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_14964,c_50,c_49]) ).
tcf(c_14979,plain,
join(iPr_def_10,join(iPr_def_10,composition(complement(iPr_def_12),top))) = join(iPr_def_10,composition(complement(iPr_def_12),top)),
inference(superposition,[status(thm)],[c_401,c_13636]) ).
tcf(c_14981,plain,
join(iPr_def_10,join(top,composition(complement(iPr_def_12),top))) = join(top,composition(complement(iPr_def_12),top)),
inference(superposition,[status(thm)],[c_1782,c_13636]) ).
tcf(c_14982,plain,
join(iPr_def_10,join(iPr_def_12,composition(complement(iPr_def_12),top))) = join(iPr_def_12,composition(complement(iPr_def_12),top)),
inference(superposition,[status(thm)],[c_11846,c_13636]) ).
tcf(c_14995,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(X0,one),complement(iPr_def_12)),top)) = composition(composition(join(X0,one),complement(iPr_def_12)),top),
inference(superposition,[status(thm)],[c_1782,c_13636]) ).
tcf(c_14996,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(one,X0),complement(iPr_def_12)),top)) = composition(composition(join(one,X0),complement(iPr_def_12)),top),
inference(superposition,[status(thm)],[c_1767,c_13636]) ).
tcf(c_14999,plain,
join(iPr_def_10,composition(composition(top,complement(iPr_def_12)),top)) = composition(composition(top,complement(iPr_def_12)),top),
inference(superposition,[status(thm)],[c_11631,c_13636]) ).
tcf(c_15003,plain,
! [X0: $i] : join(iPr_def_10,join(composition(join(complement(iPr_def_12),X0),top),complement(composition(join(complement(iPr_def_12),X0),top)))) = top,
inference(superposition,[status(thm)],[c_13636,c_375]) ).
tcf(c_15004,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(complement(iPr_def_12),X0),top),X1)) = join(composition(join(complement(iPr_def_12),X0),top),X1),
inference(superposition,[status(thm)],[c_13636,c_50]) ).
tcf(c_15005,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(complement(iPr_def_12),X1),top))) = join(X0,composition(join(complement(iPr_def_12),X1),top)),
inference(superposition,[status(thm)],[c_13636,c_191]) ).
tcf(c_15007,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(join(complement(iPr_def_12),X1),top)),top)) = composition(join(X0,composition(join(complement(iPr_def_12),X1),top)),top),
inference(superposition,[status(thm)],[c_13636,c_9109]) ).
tcf(c_15008,plain,
! [X0: $i] : composition(converse(composition(join(complement(iPr_def_12),X0),top)),complement(join(iPr_def_10,composition(composition(join(complement(iPr_def_12),X0),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13636,c_9562]) ).
tcf(c_15009,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(complement(iPr_def_12),X0),top),top)) = composition(composition(join(complement(iPr_def_12),X0),top),top),
inference(superposition,[status(thm)],[c_13636,c_392]) ).
tcf(c_15010,plain,
! [X0: $i] : composition(converse(composition(join(complement(iPr_def_12),X0),top)),complement(composition(join(complement(iPr_def_12),X0),top))) = zero,
inference(superposition,[status(thm)],[c_13636,c_12982]) ).
tcf(c_15011,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(complement(iPr_def_12),X0)),composition(top,X1)) = composition(composition(join(complement(iPr_def_12),X0),top),X1),
inference(superposition,[status(thm)],[c_13636,c_445]) ).
tcf(c_15012,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(complement(iPr_def_12),X0))),complement(composition(join(complement(iPr_def_12),X0),top))) = zero,
inference(superposition,[status(thm)],[c_13636,c_9562]) ).
tcf(c_15015,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_12),X0)),complement(composition(join(complement(iPr_def_12),X0),top))) = zero,
inference(light_normalisation,[status(thm)],[c_15012,c_13165]) ).
tcf(c_15016,plain,
! [X0: $i,X1: $i] : composition(composition(join(complement(iPr_def_12),X0),top),X1) = composition(join(complement(iPr_def_12),X0),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_15011,c_13165]) ).
tcf(c_15047,plain,
! [X0: $i] : join(iPr_def_10,join(composition(join(X0,complement(iPr_def_12)),top),complement(composition(join(X0,complement(iPr_def_12)),top)))) = top,
inference(superposition,[status(thm)],[c_13723,c_375]) ).
tcf(c_15048,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(X0,complement(iPr_def_12)),top),X1)) = join(composition(join(X0,complement(iPr_def_12)),top),X1),
inference(superposition,[status(thm)],[c_13723,c_50]) ).
tcf(c_15049,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(join(X1,complement(iPr_def_12)),top))) = join(X0,composition(join(X1,complement(iPr_def_12)),top)),
inference(superposition,[status(thm)],[c_13723,c_191]) ).
tcf(c_15051,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(join(X1,complement(iPr_def_12)),top)),top)) = composition(join(X0,composition(join(X1,complement(iPr_def_12)),top)),top),
inference(superposition,[status(thm)],[c_13723,c_9109]) ).
tcf(c_15052,plain,
! [X0: $i] : composition(converse(composition(join(X0,complement(iPr_def_12)),top)),complement(join(iPr_def_10,composition(composition(join(X0,complement(iPr_def_12)),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13723,c_9562]) ).
tcf(c_15053,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(join(X0,complement(iPr_def_12)),top),top)) = composition(composition(join(X0,complement(iPr_def_12)),top),top),
inference(superposition,[status(thm)],[c_13723,c_392]) ).
tcf(c_15054,plain,
! [X0: $i] : composition(converse(composition(join(X0,complement(iPr_def_12)),top)),complement(composition(join(X0,complement(iPr_def_12)),top))) = zero,
inference(superposition,[status(thm)],[c_13723,c_12982]) ).
tcf(c_15055,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,complement(iPr_def_12))),composition(top,X1)) = composition(composition(join(X0,complement(iPr_def_12)),top),X1),
inference(superposition,[status(thm)],[c_13723,c_445]) ).
tcf(c_15056,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,join(X0,complement(iPr_def_12)))),complement(composition(join(X0,complement(iPr_def_12)),top))) = zero,
inference(superposition,[status(thm)],[c_13723,c_9562]) ).
tcf(c_15057,plain,
! [X0: $i] : composition(converse(join(X0,complement(iPr_def_12))),complement(composition(join(X0,complement(iPr_def_12)),top))) = zero,
inference(light_normalisation,[status(thm)],[c_15056,c_13166]) ).
tcf(c_15058,plain,
! [X0: $i,X1: $i] : composition(composition(join(X0,complement(iPr_def_12)),top),X1) = composition(join(X0,complement(iPr_def_12)),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_15055,c_13166]) ).
tcf(c_15080,plain,
join(iPr_def_10,complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12338,c_14735]) ).
tcf(c_15081,plain,
join(iPr_def_10,complement(join(complement(iPr_def_12),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13165,c_14735]) ).
tcf(c_15086,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_50,c_14735]) ).
tcf(c_15088,plain,
! [X0: $i] : join(iPr_def_10,complement(join(X0,top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_14735]) ).
tcf(c_15092,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_14735,c_375]) ).
tcf(c_15093,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_14735,c_50]) ).
tcf(c_15094,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_14735,c_191]) ).
tcf(c_15096,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,iPr_def_11)),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_14735,c_7426]) ).
tcf(c_15097,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,complement(join(X1,join(X2,iPr_def_11)))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_14735,c_9109]) ).
tcf(c_15098,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(complement(join(X0,join(X1,iPr_def_11))),top)))) = zero,
inference(superposition,[status(thm)],[c_14735,c_9562]) ).
tcf(c_15099,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(X0,join(X1,iPr_def_11))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_14735,c_392]) ).
tcf(c_15100,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_14735,c_12833]) ).
tcf(c_15102,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_15096,c_50,c_49]) ).
tcf(c_15104,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(iPr_def_12)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_15081,c_50,c_49]) ).
tcf(c_15107,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_15100,c_50,c_49]) ).
tcf(c_15108,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_15092,c_50,c_49]) ).
tcf(c_15109,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_15108,c_192]) ).
tcf(c_15112,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,complement(join(X1,join(X2,iPr_def_11)))),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_15097,c_401]) ).
tcf(c_15114,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(X0,composition(X1,complement(composition(converse(composition(X0,X1)),iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_52,c_11899]) ).
tcf(c_15115,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,complement(composition(converse(join(iPr_def_10,composition(X0,top))),iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_445,c_11899]) ).
tcf(c_15116,plain,
join(iPr_def_10,complement(composition(converse(one),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1708,c_11899]) ).
tcf(c_15118,plain,
join(iPr_def_10,composition(iPr_def_10,complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1360,c_11899]) ).
tcf(c_15119,plain,
join(iPr_def_10,composition(complement(iPr_def_12),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2775,c_11899]) ).
tcf(c_15120,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(iPr_def_10,X0),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12931,c_11899]) ).
tcf(c_15131,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,X0),complement(composition(join(one,converse(X0)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1723,c_11899]) ).
tcf(c_15132,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,one),complement(composition(join(one,converse(X0)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1729,c_11899]) ).
tcf(c_15133,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(top,X0),complement(composition(composition(converse(X0),top),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2357,c_11899]) ).
tcf(c_15135,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,complement(composition(converse(X0),iPr_def_11))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11899,c_375]) ).
tcf(c_15136,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,complement(composition(converse(X0),iPr_def_11))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11899,c_50]) ).
tcf(c_15137,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(X1,complement(composition(converse(X1),iPr_def_11))))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_11899,c_191]) ).
tcf(c_15139,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(X1,complement(composition(converse(X1),iPr_def_11)))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_11899,c_9109]) ).
tcf(c_15140,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(X0,complement(composition(converse(X0),iPr_def_11))),top)))) = zero,
inference(superposition,[status(thm)],[c_11899,c_9562]) ).
tcf(c_15141,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(X0,complement(composition(converse(X0),iPr_def_11))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11899,c_392]) ).
tcf(c_15143,plain,
composition(complement(iPr_def_12),top) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15119,c_1431,c_13170]) ).
tcf(c_15144,plain,
join(iPr_def_10,complement(composition(one,iPr_def_11))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15116,c_1689]) ).
tcf(c_15145,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(iPr_def_10,X0),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15120,c_1431]) ).
tcf(c_15146,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(X0,complement(composition(converse(X0),iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_15135,c_50,c_49]) ).
tcf(c_15147,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_15146,c_192]) ).
tcf(c_15148,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(X0,complement(composition(converse(X0),iPr_def_11))),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15141,c_193]) ).
tcf(c_15149,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(X1,complement(composition(converse(X1),iPr_def_11)))),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_15139,c_401]) ).
tcf(c_15178,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_12338,c_12476]) ).
tcf(c_15180,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13393,c_12476]) ).
tcf(c_15202,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_12338,c_12476]) ).
tcf(c_15203,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13165,c_12476]) ).
tcf(c_15204,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13393,c_12476]) ).
tcf(c_15206,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_49,c_12476]) ).
tcf(c_15208,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_50,c_12476]) ).
tcf(c_15215,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_12476,c_375]) ).
tcf(c_15216,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_12476,c_50]) ).
tcf(c_15219,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_12476,c_191]) ).
tcf(c_15220,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_12476,c_191]) ).
tcf(c_15221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(X3,iPr_def_12)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_12476,c_9109]) ).
tcf(c_15222,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_12))),top)))) = zero,
inference(superposition,[status(thm)],[c_12476,c_9562]) ).
tcf(c_15223,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_12))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12476,c_392]) ).
tcf(c_15224,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(X0,join(X1,iPr_def_12))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12476,c_9109]) ).
tcf(c_15230,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(X1,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_12476,c_13165]) ).
tcf(c_15237,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(X1,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_15230,c_50,c_49]) ).
tcf(c_15238,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_15203,c_50,c_49]) ).
tcf(c_15242,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_15215,c_50,c_49]) ).
tcf(c_15243,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_15242,c_107]) ).
tcf(c_15247,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_15216,c_50,c_49]) ).
tcf(c_15249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(X3,iPr_def_12)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_15221,c_7015,c_11762]) ).
tcf(c_15250,plain,
join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(complement(iPr_def_12),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15143,c_433]) ).
tcf(c_15251,plain,
! [X0: $i] : composition(join(complement(iPr_def_12),X0),top) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_15143,c_54]) ).
tcf(c_15252,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(top,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_15143,c_52]) ).
tcf(c_15253,plain,
! [X0: $i] : composition(join(X0,complement(iPr_def_12)),top) = join(composition(X0,top),iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_54]) ).
tcf(c_15254,plain,
join(complement(top),composition(converse(complement(iPr_def_12)),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_15143,c_76]) ).
tcf(c_15256,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(iPr_def_12)),composition(top,X0)) = composition(join(iPr_def_10,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_15143,c_445]) ).
tcf(c_15257,plain,
composition(converse(join(iPr_def_10,complement(iPr_def_12))),complement(join(iPr_def_10,iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_15143,c_9562]) ).
tcf(c_15258,plain,
composition(converse(complement(iPr_def_12)),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_15143,c_9545]) ).
tcf(c_15261,plain,
composition(converse(complement(iPr_def_12)),complement(join(iPr_def_10,iPr_def_10))) = zero,
inference(light_normalisation,[status(thm)],[c_15257,c_13163]) ).
tcf(c_15263,plain,
! [X0: $i] : composition(join(X0,complement(iPr_def_12)),top) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_15253,c_50,c_49]) ).
tcf(c_15264,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(top,X0)) = composition(join(iPr_def_10,iPr_def_10),X0),
inference(light_normalisation,[status(thm)],[c_15256,c_13163]) ).
tcf(c_15279,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(complement(iPr_def_11)))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_59,c_363]) ).
tcf(c_15280,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(iPr_def_11,X1))),join(complement(join(iPr_def_11,complement(join(X0,X1)))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_191,c_363]) ).
tcf(c_15281,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_349,c_363]) ).
tcf(c_15282,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(X0,complement(join(iPr_def_11,X0)))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_375,c_363]) ).
tcf(c_15283,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(complement(iPr_def_11),X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_7124,c_363]) ).
tcf(c_15284,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(top))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_7015,c_363]) ).
tcf(c_15285,plain,
! [X0: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(zero))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1429,c_363]) ).
tcf(c_15286,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_432,c_363]) ).
tcf(c_15287,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10))))))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_433,c_363]) ).
tcf(c_15288,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(composition(converse(X1),complement(composition(X1,iPr_def_10))),X0)))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_434,c_363]) ).
tcf(c_15289,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2345,c_363]) ).
tcf(c_15290,plain,
! [X0: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(complement(converse(complement(converse(iPr_def_11))))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_12326,c_363]) ).
tcf(c_15291,plain,
! [X0: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(iPr_def_11))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_7769,c_363]) ).
tcf(c_15292,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(X0))),join(complement(join(iPr_def_11,complement(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1888,c_363]) ).
tcf(c_15293,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_2326,c_363]) ).
tcf(c_15294,plain,
! [X0: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(iPr_def_12))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_3207,c_363]) ).
tcf(c_15295,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(iPr_def_12,X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_3214,c_363]) ).
tcf(c_15296,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(complement(iPr_def_12)))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_4192,c_363]) ).
tcf(c_15297,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(X0,iPr_def_12)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_4183,c_363]) ).
tcf(c_15298,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(complement(iPr_def_12),X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_13559,c_363]) ).
tcf(c_15299,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_11))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_7426,c_363]) ).
tcf(c_15300,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),join(complement(join(iPr_def_11,complement(complement(join(X0,join(iPr_def_11,X0)))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11158,c_363]) ).
tcf(c_15302,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10560,c_363]) ).
tcf(c_15303,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10))))))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_9023,c_363]) ).
tcf(c_15304,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_12))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_9125,c_363]) ).
tcf(c_15305,plain,
! [X0: $i] : join(complement(composition(top,iPr_def_11)),join(complement(join(iPr_def_11,complement(composition(complement(one),iPr_def_11)))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_11631,c_363]) ).
tcf(c_15306,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(composition(top,complement(iPr_def_11))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_11752,c_363]) ).
tcf(c_15307,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(complement(converse(complement(converse(iPr_def_11)))),X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_12338,c_363]) ).
tcf(c_15308,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(join(X0,complement(converse(complement(converse(iPr_def_11)))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_12339,c_363]) ).
tcf(c_15309,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(X0,join(X1,complement(iPr_def_11)))))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_12833,c_363]) ).
tcf(c_15310,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(X0,join(X1,complement(iPr_def_12)))))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_13561,c_363]) ).
tcf(c_15311,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(composition(top,iPr_def_10)))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_14138,c_363]) ).
tcf(c_15312,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(composition(top,iPr_def_10),X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_14229,c_363]) ).
tcf(c_15313,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_14347,c_363]) ).
tcf(c_15317,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(join(iPr_def_11,complement(X0))))) = join(complement(join(iPr_def_11,X0)),top),
inference(superposition,[status(thm)],[c_59,c_363]) ).
tcf(c_15318,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,join(iPr_def_11,complement(X1)))))) = join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_11,complement(X1)))),
inference(superposition,[status(thm)],[c_76,c_363]) ).
tcf(c_15319,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,X0)),join(X1,join(complement(join(iPr_def_11,complement(X0))),X2))) = join(iPr_def_10,join(X1,X2)),
inference(superposition,[status(thm)],[c_191,c_363]) ).
tcf(c_15320,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(complement(join(iPr_def_11,complement(X1))),X0)))) = join(complement(join(iPr_def_11,X1)),top),
inference(superposition,[status(thm)],[c_375,c_363]) ).
tcf(c_15321,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(complement(join(iPr_def_11,complement(X0)))),X1)) = join(complement(join(iPr_def_11,X0)),top),
inference(superposition,[status(thm)],[c_7124,c_363]) ).
tcf(c_15323,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7015,c_363]) ).
tcf(c_15324,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0)))) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_1429,c_363]) ).
tcf(c_15325,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(complement(join(iPr_def_11,complement(X0))))))) = join(complement(join(iPr_def_11,X0)),top),
inference(superposition,[status(thm)],[c_2345,c_363]) ).
tcf(c_15326,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0)))) = join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))),
inference(superposition,[status(thm)],[c_7769,c_363]) ).
tcf(c_15327,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),composition(join(X1,one),complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,composition(X1,complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_1782,c_363]) ).
tcf(c_15328,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),composition(join(one,X1),complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,composition(X1,complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_1767,c_363]) ).
tcf(c_15329,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(complement(join(iPr_def_11,complement(X1)))))) = join(complement(join(iPr_def_11,X1)),top),
inference(superposition,[status(thm)],[c_7426,c_363]) ).
tcf(c_15330,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,join(complement(join(iPr_def_11,complement(X0))),X1)),
inference(superposition,[status(thm)],[c_7878,c_363]) ).
tcf(c_15331,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = join(complement(join(iPr_def_11,X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_8543,c_363]) ).
tcf(c_15332,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),composition(top,complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,composition(complement(one),complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_11631,c_363]) ).
tcf(c_15333,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(complement(join(iPr_def_11,complement(X0)))))) = join(complement(join(iPr_def_11,X0)),top),
inference(superposition,[status(thm)],[c_11752,c_363]) ).
tcf(c_15334,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(complement(join(iPr_def_11,complement(X2))))))) = join(complement(join(iPr_def_11,X2)),top),
inference(superposition,[status(thm)],[c_12833,c_363]) ).
tcf(c_15335,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),join(complement(top),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_59,c_363]) ).
tcf(c_15336,plain,
! [X0: $i] : join(complement(join(iPr_def_11,converse(complement(converse(iPr_def_11))))),join(complement(iPr_def_11),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_12326,c_363]) ).
tcf(c_15337,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),join(complement(join(iPr_def_11,complement(X0))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1888,c_363]) ).
tcf(c_15338,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_12)),join(complement(top),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_4192,c_363]) ).
tcf(c_15339,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0)))),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11158,c_363]) ).
tcf(c_15340,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,X0))))),join(complement(join(iPr_def_11,X0)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_10560,c_363]) ).
tcf(c_15341,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(X0))),join(complement(join(iPr_def_11,X0)),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_7732,c_363]) ).
tcf(c_15343,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_10)),join(complement(join(iPr_def_11,iPr_def_11)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_192,c_363]) ).
tcf(c_15344,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),join(complement(join(iPr_def_11,iPr_def_10)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1671,c_363]) ).
tcf(c_15345,plain,
! [X0: $i] : join(complement(join(iPr_def_11,zero)),join(complement(join(iPr_def_11,top)),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1431,c_363]) ).
tcf(c_15346,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(iPr_def_10,X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_363,c_7878]) ).
tcf(c_15347,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(join(complement(join(iPr_def_11,complement(X0))),X1),complement(join(iPr_def_10,X1)))) = top,
inference(superposition,[status(thm)],[c_363,c_375]) ).
tcf(c_15351,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,X0)),join(X1,join(complement(join(iPr_def_11,complement(X0))),X2))) = join(X1,join(iPr_def_10,X2)),
inference(superposition,[status(thm)],[c_363,c_191]) ).
tcf(c_15352,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0)))))) = top,
inference(superposition,[status(thm)],[c_363,c_375]) ).
tcf(c_15353,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(complement(X0)))),X1)) = join(complement(join(iPr_def_11,X0)),join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_363,c_363]) ).
tcf(c_15357,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(join(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_363,c_7426]) ).
tcf(c_15364,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(complement(join(iPr_def_11,X1))))) = top,
inference(superposition,[status(thm)],[c_363,c_12833]) ).
tcf(c_15369,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,X0))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_15323,c_50,c_49]) ).
tcf(c_15370,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_11,X1)))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15346,c_50,c_49]) ).
tcf(c_15371,plain,
! [X0: $i] : join(complement(top),join(X0,complement(join(iPr_def_11,iPr_def_12)))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15338,c_50,c_49]) ).
tcf(c_15372,plain,
! [X0: $i] : join(zero,join(X0,iPr_def_10)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15371,c_107,c_1671,c_3207]) ).
tcf(c_15373,plain,
! [X0: $i] : join(iPr_def_10,join(X0,zero)) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15372,c_50,c_49]) ).
tcf(c_15375,plain,
! [X0: $i] : join(complement(top),join(X0,complement(join(iPr_def_11,iPr_def_11)))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15335,c_50,c_49]) ).
tcf(c_15378,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,iPr_def_10)),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15291,c_1671]) ).
tcf(c_15379,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_10,iPr_def_11)),X0)) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15378,c_50,c_49]) ).
tcf(c_15381,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,top)),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15285,c_1431,c_1671]) ).
tcf(c_15382,plain,
! [X0: $i] : join(zero,join(complement(join(iPr_def_11,zero)),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15284,c_107]) ).
tcf(c_15383,plain,
! [X0: $i] : join(complement(join(iPr_def_11,top)),join(X0,complement(join(iPr_def_11,zero)))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15345,c_50,c_49]) ).
tcf(c_15384,plain,
! [X0: $i] : join(complement(join(iPr_def_10,iPr_def_11)),join(X0,complement(join(iPr_def_11,iPr_def_11)))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15344,c_50,c_49]) ).
tcf(c_15386,plain,
! [X0: $i] : join(complement(join(iPr_def_10,iPr_def_11)),join(complement(join(iPr_def_11,iPr_def_11)),X0)) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15343,c_50,c_49]) ).
tcf(c_15387,plain,
! [X0: $i] : join(zero,join(iPr_def_10,X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15386,c_107,c_209,c_1361]) ).
tcf(c_15388,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(join(iPr_def_11,complement(X0))))) = join(top,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_15317,c_50,c_49]) ).
tcf(c_15389,plain,
! [X0: $i] : join(zero,join(complement(join(iPr_def_11,complement(complement(iPr_def_12)))),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15296,c_107]) ).
tcf(c_15391,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(X1,complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,X1),
inference(theory_normalisation,[status(thm)],[c_15341,c_50,c_49]) ).
tcf(c_15392,plain,
! [X0: $i] : join(complement(iPr_def_11),join(X0,complement(join(iPr_def_11,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_15336,c_50,c_49]) ).
tcf(c_15393,plain,
! [X0: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_11,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15392,c_1671]) ).
tcf(c_15394,plain,
! [X0: $i] : join(zero,join(complement(join(iPr_def_11,complement(composition(top,iPr_def_10)))),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15311,c_107]) ).
tcf(c_15395,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(complement(join(iPr_def_11,complement(X0)))))) = join(top,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_15333,c_50,c_49]) ).
tcf(c_15396,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = join(iPr_def_10,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_15331,c_50,c_49]) ).
tcf(c_15397,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_15396,c_8588]) ).
tcf(c_15398,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(complement(join(iPr_def_11,complement(X1)))))) = join(top,complement(join(iPr_def_11,X1))),
inference(theory_normalisation,[status(thm)],[c_15329,c_50,c_49]) ).
tcf(c_15399,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(complement(join(iPr_def_11,complement(X0))))))) = join(top,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_15325,c_50,c_49]) ).
tcf(c_15400,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(complement(join(iPr_def_11,complement(X0)))),X1)) = join(top,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_15321,c_50,c_49]) ).
tcf(c_15402,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_12))))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15304,c_107]) ).
tcf(c_15403,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(X0,iPr_def_10)))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15299,c_107,c_1671]) ).
tcf(c_15404,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(complement(iPr_def_12),X0)))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15298,c_107]) ).
tcf(c_15406,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(iPr_def_10,X0)))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15283,c_107,c_1671]) ).
tcf(c_15407,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(composition(top,iPr_def_10),X0)))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15312,c_107]) ).
tcf(c_15409,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(complement(X0)))),X1)) = join(iPr_def_10,join(X1,complement(join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_15353,c_50,c_49]) ).
tcf(c_15411,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(X0))),join(X1,complement(join(iPr_def_10,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_15347,c_50,c_49]) ).
tcf(c_15412,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(complement(join(iPr_def_11,complement(X2))))))) = join(top,complement(join(iPr_def_11,X2))),
inference(theory_normalisation,[status(thm)],[c_15334,c_50,c_49]) ).
tcf(c_15415,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(complement(join(iPr_def_11,complement(X1))),X0)))) = join(top,complement(join(iPr_def_11,X1))),
inference(theory_normalisation,[status(thm)],[c_15320,c_50,c_49]) ).
tcf(c_15416,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(X0,join(X1,complement(iPr_def_12)))))),X2)) = join(iPr_def_10,X2),
inference(light_normalisation,[status(thm)],[c_15310,c_107]) ).
tcf(c_15417,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(X0,join(X1,iPr_def_10))))),X2)) = join(iPr_def_10,X2),
inference(light_normalisation,[status(thm)],[c_15309,c_107,c_1671]) ).
tcf(c_15418,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(X0,complement(join(iPr_def_11,X0)))))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15282,c_107]) ).
tcf(c_15420,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(X1,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,X0))))))) = join(iPr_def_10,X1),
inference(theory_normalisation,[status(thm)],[c_15340,c_50,c_49]) ).
tcf(c_15423,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),join(X1,complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0)))))) = join(iPr_def_10,X1),
inference(theory_normalisation,[status(thm)],[c_15339,c_50,c_49]) ).
tcf(c_15424,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(X0))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15330,c_363]) ).
tcf(c_15425,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(X0))),join(X1,complement(join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_10,X1),
inference(theory_normalisation,[status(thm)],[c_15337,c_50,c_49]) ).
tcf(c_15426,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_15313,c_1671]) ).
tcf(c_15427,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10))))))),X2)) = join(iPr_def_10,X2),
inference(light_normalisation,[status(thm)],[c_15287,c_1671]) ).
tcf(c_15445,plain,
join(iPr_def_10,complement(join(iPr_def_11,top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_437,c_1671,c_12704]) ).
tcf(c_15447,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_487,c_1671]) ).
tcf(c_15451,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_50,c_776]) ).
tcf(c_15452,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(X0,X1)),complement(composition(join(converse(converse(X0)),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_56,c_776]) ).
tcf(c_15453,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(join(converse(zero),X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_776]) ).
tcf(c_15454,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(join(converse(top),X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7096,c_776]) ).
tcf(c_15455,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(join(converse(X0),complement(converse(X0))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2345,c_776]) ).
tcf(c_15456,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(join(converse(converse(X0)),X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7769,c_776]) ).
tcf(c_15457,plain,
join(iPr_def_11,composition(top,complement(composition(join(converse(one),complement(one)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9159,c_776]) ).
tcf(c_15458,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,X1),complement(composition(join(converse(X0),converse(X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_55,c_776]) ).
tcf(c_15459,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(converse(X1),X2)),complement(composition(join(converse(X0),join(converse(X2),X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_985,c_776]) ).
tcf(c_15460,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(X1,converse(X2))),complement(composition(join(converse(X0),join(converse(X1),X2)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_221,c_776]) ).
tcf(c_15461,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(X1,converse(X2))),complement(composition(join(converse(X0),join(X2,converse(X1))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_765,c_776]) ).
tcf(c_15462,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(converse(X1),X2)),complement(composition(join(converse(X0),join(X1,converse(X2))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_222,c_776]) ).
tcf(c_15463,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_225,c_776]) ).
tcf(c_15464,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,composition(converse(X1),X2)),complement(composition(join(converse(X0),composition(converse(X2),X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_226,c_776]) ).
tcf(c_15465,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,top),complement(composition(join(converse(X0),top),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2343,c_776]) ).
tcf(c_15466,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,zero),complement(composition(join(converse(X0),zero),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1950,c_776]) ).
tcf(c_15469,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,join(one,converse(X1))),complement(composition(join(converse(X0),join(X1,one)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1729,c_776]) ).
tcf(c_15470,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,composition(converse(X1),top)),complement(composition(join(converse(X0),composition(top,X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2357,c_776]) ).
tcf(c_15471,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(one)),complement(join(iPr_def_10,composition(converse(X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1782,c_776]) ).
tcf(c_15475,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(converse(X1))),complement(composition(converse(join(X0,X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_56,c_776]) ).
tcf(c_15476,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(complement(converse(X0)))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_59,c_776]) ).
tcf(c_15477,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,X2))),complement(composition(join(X1,join(converse(X0),X2)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_191,c_776]) ).
tcf(c_15478,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,complement(join(converse(X0),X1))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_375,c_776]) ).
tcf(c_15479,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(complement(converse(X0)),X1))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7124,c_776]) ).
tcf(c_15480,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(top)),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7015,c_776]) ).
tcf(c_15481,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(zero)),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_776]) ).
tcf(c_15482,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(converse(complement(converse(converse(X0)))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2345,c_776]) ).
tcf(c_15483,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(converse(X0))),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7769,c_776]) ).
tcf(c_15484,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(composition(X1,converse(X0)))),complement(composition(composition(join(X1,one),converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1782,c_776]) ).
tcf(c_15485,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(composition(X1,converse(X0)))),complement(composition(composition(join(one,X1),converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1767,c_776]) ).
tcf(c_15486,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,complement(converse(X0))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7426,c_776]) ).
tcf(c_15487,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(converse(X0),X1))),complement(composition(join(converse(X0),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7878,c_776]) ).
tcf(c_15488,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(composition(complement(one),converse(X0)))),complement(composition(composition(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11631,c_776]) ).
tcf(c_15489,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(composition(top,complement(converse(X0))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11752,c_776]) ).
tcf(c_15490,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,join(X2,complement(converse(X0)))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12833,c_776]) ).
tcf(c_15491,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(converse(X0),converse(X1)),complement(composition(join(X0,X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_55,c_776]) ).
tcf(c_15492,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(join(converse(X0),X1),converse(X2)),complement(composition(join(join(converse(X1),X0),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_985,c_776]) ).
tcf(c_15493,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(join(converse(X0),X1),converse(X2)),complement(composition(join(join(X0,converse(X1)),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_221,c_776]) ).
tcf(c_15494,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(join(X0,converse(X1)),converse(X2)),complement(composition(join(join(X1,converse(X0)),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_765,c_776]) ).
tcf(c_15495,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(join(X0,converse(X1)),converse(X2)),complement(composition(join(join(converse(X0),X1),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_222,c_776]) ).
tcf(c_15496,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_225,c_776]) ).
tcf(c_15497,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(composition(converse(X0),X1),converse(X2)),complement(composition(join(composition(converse(X1),X0),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_226,c_776]) ).
tcf(c_15499,plain,
! [X0: $i] : join(iPr_def_11,composition(join(zero,converse(X0)),complement(composition(join(zero,X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1950,c_776]) ).
tcf(c_15501,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(join(one,X0),converse(X1)),complement(composition(join(join(one,converse(X0)),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1723,c_776]) ).
tcf(c_15502,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(join(X0,one),converse(X1)),complement(composition(join(join(one,converse(X0)),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1729,c_776]) ).
tcf(c_15503,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(composition(top,X0),converse(X1)),complement(composition(join(composition(converse(X0),top),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2357,c_776]) ).
tcf(c_15505,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_776,c_375]) ).
tcf(c_15509,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10)))))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_776,c_363]) ).
tcf(c_15514,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_776,c_11158]) ).
tcf(c_15516,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_776,c_391]) ).
tcf(c_15526,plain,
join(iPr_def_11,composition(top,complement(composition(join(complement(one),converse(one)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15457,c_50,c_49]) ).
tcf(c_15527,plain,
join(iPr_def_11,composition(top,complement(composition(join(complement(one),one),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15526,c_1689]) ).
tcf(c_15528,plain,
join(iPr_def_11,composition(top,complement(composition(join(one,complement(one)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15527,c_50,c_49]) ).
tcf(c_15530,plain,
! [X0: $i] : join(iPr_def_11,composition(join(zero,converse(X0)),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15499,c_1336]) ).
tcf(c_15534,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,zero),complement(composition(join(zero,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15466,c_50,c_49]) ).
tcf(c_15535,plain,
! [X0: $i] : join(iPr_def_11,composition(X0,complement(composition(join(zero,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15534,c_1429]) ).
tcf(c_15536,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,top),complement(composition(join(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15465,c_50,c_49]) ).
tcf(c_15537,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(join(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15536,c_7015]) ).
tcf(c_15538,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(join(X0,converse(converse(X0))),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15456,c_50,c_49]) ).
tcf(c_15541,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),complement(join(iPr_def_10,composition(converse(X0),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15471,c_1689]) ).
tcf(c_15546,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,X1),complement(composition(converse(join(X0,X1)),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15475,c_1014]) ).
tcf(c_15547,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(X0,X1)),complement(composition(join(X0,X1),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15452,c_55]) ).
tcf(c_15548,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_15505,c_50,c_49]) ).
tcf(c_15549,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_15548,c_1671]) ).
tcf(c_15550,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_15549,c_50,c_49]) ).
tcf(c_15555,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_15516,c_116]) ).
tcf(c_15556,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,join(one,converse(X1))),complement(composition(join(one,join(converse(X0),X1)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15502,c_50,c_49]) ).
tcf(c_15557,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(one,join(X0,converse(X1))),complement(composition(join(one,join(converse(X0),X1)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15501,c_50,c_49]) ).
tcf(c_15558,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(top,converse(X0))),complement(composition(composition(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15488,c_11761]) ).
tcf(c_15559,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,join(one,converse(X1))),complement(composition(join(one,join(X1,converse(X0))),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15469,c_50,c_49]) ).
tcf(c_15561,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(converse(X1),converse(X2))),complement(composition(join(converse(X0),join(X1,X2)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15495,c_50,c_49]) ).
tcf(c_15562,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(converse(X1),converse(X2))),complement(composition(join(X1,join(converse(X0),X2)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15494,c_50,c_49]) ).
tcf(c_15563,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(converse(X0),join(X1,converse(X2))),complement(composition(join(X0,join(converse(X1),X2)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15493,c_50,c_49]) ).
tcf(c_15565,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(converse(X0),join(X1,converse(X2))),complement(composition(join(converse(X1),join(X0,X2)),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_15492,c_50,c_49]) ).
tcf(c_15566,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,X2))),complement(composition(join(converse(X0),join(X1,X2)),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15565,c_9018]) ).
tcf(c_15567,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,join(converse(X1),X2)),complement(composition(join(X1,converse(join(X0,X2))),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_15462,c_9018]) ).
tcf(c_15569,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10)))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_15514,c_50,c_49]) ).
tcf(c_15571,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10)))))),X2)) = join(iPr_def_10,X2),
inference(light_normalisation,[status(thm)],[c_15509,c_1671]) ).
tcf(c_15572,plain,
join(iPr_def_11,complement(join(top,complement(join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))))))) = join(iPr_def_11,join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),
inference(light_normalisation,[status(thm)],[c_347,c_1431]) ).
tcf(c_15574,plain,
composition(complement(iPr_def_12),top) = composition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_53,c_15252]) ).
tcf(c_15575,plain,
composition(complement(iPr_def_12),top) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11762,c_15252]) ).
tcf(c_15576,plain,
composition(complement(iPr_def_12),zero) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_8201,c_15252]) ).
tcf(c_15577,plain,
composition(iPr_def_10,complement(composition(converse(top),top))) = composition(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_9546,c_15252]) ).
tcf(c_15578,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(iPr_def_10,X0)),complement(composition(complement(iPr_def_12),composition(composition(top,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15252,c_433]) ).
tcf(c_15579,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_15252,c_54]) ).
tcf(c_15580,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_15252,c_52]) ).
tcf(c_15581,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_15252,c_54]) ).
tcf(c_15583,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_15252,c_1767]) ).
tcf(c_15584,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_15252,c_76]) ).
tcf(c_15585,plain,
join(iPr_def_11,composition(converse(composition(complement(iPr_def_12),top)),complement(composition(iPr_def_10,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15252,c_433]) ).
tcf(c_15591,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_15583,c_50,c_49]) ).
tcf(c_15593,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_15581,c_50,c_49]) ).
tcf(c_15594,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_15593,c_425]) ).
tcf(c_15595,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_15579,c_425]) ).
tcf(c_15625,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(iPr_def_12,X0))) = top,
inference(superposition,[status(thm)],[c_12338,c_15206]) ).
tcf(c_15631,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,join(iPr_def_12,X0))) = top,
inference(superposition,[status(thm)],[c_13393,c_15206]) ).
tcf(c_15637,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,join(X1,X2)))) = top,
inference(superposition,[status(thm)],[c_191,c_15206]) ).
tcf(c_15668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,X3))))) = top,
inference(superposition,[status(thm)],[c_191,c_15206]) ).
tcf(c_15677,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,composition(top,iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_11631,c_15206]) ).
tcf(c_15682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_12,X2))),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_15206,c_50]) ).
tcf(c_15685,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(X0,top),
inference(superposition,[status(thm)],[c_15206,c_191]) ).
tcf(c_15686,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(iPr_def_10,join(X1,join(iPr_def_12,X2)))) = top,
inference(superposition,[status(thm)],[c_15206,c_191]) ).
tcf(c_15687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(iPr_def_12,X3)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_15206,c_9109]) ).
tcf(c_15688,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_12,X2))),top)))) = zero,
inference(superposition,[status(thm)],[c_15206,c_9562]) ).
tcf(c_15689,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_12,X2))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_15206,c_392]) ).
tcf(c_15690,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(iPr_def_10,join(X0,join(iPr_def_12,X1))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_15206,c_9109]) ).
tcf(c_15717,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_12,X2))),top)) = top,
inference(light_normalisation,[status(thm)],[c_15689,c_11762]) ).
tcf(c_15719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,X3))))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_15682,c_50,c_49]) ).
tcf(c_15720,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,complement(join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_12,X2))),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_15688,c_2343]) ).
tcf(c_15721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(iPr_def_12,X3)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_15687,c_7015,c_11762]) ).
tcf(c_15723,plain,
! [X0: $i] : join(zero,join(complement(join(zero,zero)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_367,c_7096]) ).
tcf(c_15727,plain,
join(complement(iPr_def_12),join(composition(top,iPr_def_11),complement(top))) = top,
inference(superposition,[status(thm)],[c_13731,c_375]) ).
tcf(c_15728,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_11),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_13731,c_50]) ).
tcf(c_15731,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,composition(top,iPr_def_11))) = join(X0,top),
inference(superposition,[status(thm)],[c_13731,c_191]) ).
tcf(c_15734,plain,
join(complement(iPr_def_12),join(complement(top),composition(top,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_15727,c_50,c_49]) ).
tcf(c_15735,plain,
join(complement(iPr_def_12),join(zero,composition(top,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_15734,c_107]) ).
tcf(c_15736,plain,
join(zero,join(complement(iPr_def_12),composition(top,iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_15735,c_50,c_49]) ).
tcf(c_15738,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,composition(top,iPr_def_11))) = top,
inference(light_normalisation,[status(thm)],[c_15731,c_7015]) ).
tcf(c_15739,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_11),X0)) = top,
inference(light_normalisation,[status(thm)],[c_15728,c_7096]) ).
tcf(c_15741,plain,
join(iPr_def_11,join(composition(top,complement(iPr_def_12)),complement(top))) = top,
inference(superposition,[status(thm)],[c_13984,c_375]) ).
tcf(c_15742,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,complement(iPr_def_12)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_13984,c_50]) ).
tcf(c_15743,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,complement(iPr_def_12)))) = join(X0,top),
inference(superposition,[status(thm)],[c_13984,c_191]) ).
tcf(c_15745,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(composition(top,complement(iPr_def_12))))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_13984,c_363]) ).
tcf(c_15750,plain,
join(iPr_def_11,complement(join(composition(top,complement(iPr_def_12)),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_13984,c_11158]) ).
tcf(c_15759,plain,
join(iPr_def_11,join(complement(top),composition(top,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_15741,c_50,c_49]) ).
tcf(c_15761,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,complement(iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_15743,c_7015]) ).
tcf(c_15762,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,complement(iPr_def_12)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_15742,c_7096]) ).
tcf(c_15763,plain,
join(iPr_def_11,complement(join(top,composition(top,complement(iPr_def_12))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_15750,c_50,c_49]) ).
tcf(c_15764,plain,
join(iPr_def_11,complement(join(top,composition(top,complement(iPr_def_12))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_15763,c_107]) ).
tcf(c_15765,plain,
! [X0: $i] : join(zero,join(complement(join(iPr_def_11,complement(composition(top,complement(iPr_def_12))))),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_15745,c_107]) ).
tcf(c_15772,plain,
join(complement(one),top) = top,
inference(superposition,[status(thm)],[c_53,c_14135]) ).
tcf(c_15775,plain,
join(complement(complement(composition(converse(top),top))),zero) = top,
inference(superposition,[status(thm)],[c_9546,c_14135]) ).
tcf(c_15777,plain,
! [X0: $i] : join(complement(X0),join(composition(top,X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_14135,c_375]) ).
tcf(c_15778,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(top,X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_14135,c_50]) ).
tcf(c_15781,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,composition(top,X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_14135,c_191]) ).
tcf(c_15782,plain,
! [X0: $i] : join(iPr_def_10,composition(top,join(iPr_def_11,complement(X0)))) = join(complement(join(iPr_def_11,X0)),top),
inference(superposition,[status(thm)],[c_14135,c_363]) ).
tcf(c_15785,plain,
join(iPr_def_11,composition(top,converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_14135,c_12338]) ).
tcf(c_15789,plain,
join(top,complement(one)) = top,
inference(theory_normalisation,[status(thm)],[c_15772,c_50,c_49]) ).
tcf(c_15790,plain,
join(zero,complement(complement(composition(converse(top),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_15775,c_50,c_49]) ).
tcf(c_15792,plain,
! [X0: $i] : join(complement(X0),join(complement(top),composition(top,X0))) = top,
inference(theory_normalisation,[status(thm)],[c_15777,c_50,c_49]) ).
tcf(c_15793,plain,
! [X0: $i] : join(complement(X0),join(zero,composition(top,X0))) = top,
inference(light_normalisation,[status(thm)],[c_15792,c_107]) ).
tcf(c_15794,plain,
! [X0: $i] : join(zero,join(complement(X0),composition(top,X0))) = top,
inference(theory_normalisation,[status(thm)],[c_15793,c_50,c_49]) ).
tcf(c_15796,plain,
! [X0: $i] : join(iPr_def_10,composition(top,join(iPr_def_11,complement(X0)))) = join(top,complement(join(iPr_def_11,X0))),
inference(theory_normalisation,[status(thm)],[c_15782,c_50,c_49]) ).
tcf(c_15797,plain,
! [X0: $i] : join(iPr_def_10,composition(top,join(iPr_def_11,complement(X0)))) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_15796,c_15369]) ).
tcf(c_15799,plain,
complement(join(iPr_def_10,complement(join(iPr_def_11,join(iPr_def_11,zero))))) = join(iPr_def_11,join(iPr_def_11,zero)),
inference(light_normalisation,[status(thm)],[c_1364,c_1671]) ).
tcf(c_15804,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_10),composition(top,X1)) = composition(join(iPr_def_10,X0),composition(top,X1)),
inference(demodulation,[status(thm)],[c_425,c_393,c_474]) ).
tcf(c_15806,plain,
join(complement(top),composition(converse(iPr_def_10),complement(composition(iPr_def_10,one)))) = complement(top),
inference(superposition,[status(thm)],[c_53,c_428]) ).
tcf(c_15807,plain,
join(complement(top),composition(converse(iPr_def_10),complement(composition(iPr_def_10,top)))) = complement(top),
inference(superposition,[status(thm)],[c_11762,c_428]) ).
tcf(c_15808,plain,
join(complement(zero),composition(converse(iPr_def_10),complement(composition(iPr_def_10,zero)))) = complement(zero),
inference(superposition,[status(thm)],[c_8201,c_428]) ).
tcf(c_15809,plain,
join(complement(zero),composition(converse(iPr_def_10),complement(composition(iPr_def_10,complement(composition(converse(top),top)))))) = complement(zero),
inference(superposition,[status(thm)],[c_9546,c_428]) ).
tcf(c_15810,plain,
join(complement(composition(top,top)),zero) = complement(composition(top,top)),
inference(superposition,[status(thm)],[c_9545,c_428]) ).
tcf(c_15811,plain,
join(complement(composition(top,one)),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(composition(top,one)),
inference(superposition,[status(thm)],[c_53,c_428]) ).
tcf(c_15812,plain,
join(complement(composition(top,top)),composition(converse(iPr_def_10),complement(iPr_def_10))) = complement(composition(top,top)),
inference(superposition,[status(thm)],[c_193,c_428]) ).
tcf(c_15813,plain,
! [X0: $i] : join(complement(composition(top,composition(top,X0))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0)))) = complement(composition(top,composition(top,X0))),
inference(superposition,[status(thm)],[c_383,c_428]) ).
tcf(c_15814,plain,
join(complement(composition(top,zero)),composition(converse(iPr_def_10),complement(zero))) = complement(composition(top,zero)),
inference(superposition,[status(thm)],[c_8201,c_428]) ).
tcf(c_15815,plain,
join(complement(composition(top,complement(composition(converse(iPr_def_10),top)))),composition(converse(iPr_def_10),complement(zero))) = complement(composition(top,complement(composition(converse(iPr_def_10),top)))),
inference(superposition,[status(thm)],[c_9546,c_428]) ).
tcf(c_15816,plain,
! [X0: $i] : join(complement(composition(top,X0)),complement(composition(top,X0))) = complement(composition(top,X0)),
inference(superposition,[status(thm)],[c_428,c_7878]) ).
tcf(c_15817,plain,
! [X0: $i] : join(complement(composition(top,X0)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))),complement(complement(composition(top,X0))))) = top,
inference(superposition,[status(thm)],[c_428,c_375]) ).
tcf(c_15818,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_428,c_50]) ).
tcf(c_15820,plain,
! [X0: $i] : join(composition(top,X0),complement(composition(top,X0))) = top,
inference(superposition,[status(thm)],[c_428,c_7124]) ).
tcf(c_15821,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(X1,composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))))) = join(X1,complement(composition(top,X0))),
inference(superposition,[status(thm)],[c_428,c_191]) ).
tcf(c_15823,plain,
join(zero,complement(composition(top,top))) = complement(composition(top,top)),
inference(theory_normalisation,[status(thm)],[c_15810,c_50,c_49]) ).
tcf(c_15825,plain,
join(top,composition(converse(iPr_def_10),complement(composition(iPr_def_10,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_15808,c_1431]) ).
tcf(c_15827,plain,
join(zero,composition(converse(iPr_def_10),complement(composition(iPr_def_10,one)))) = zero,
inference(light_normalisation,[status(thm)],[c_15806,c_107]) ).
tcf(c_15828,plain,
join(complement(composition(top,zero)),composition(converse(iPr_def_10),top)) = complement(composition(top,zero)),
inference(light_normalisation,[status(thm)],[c_15814,c_1431]) ).
tcf(c_15830,plain,
join(complement(composition(top,one)),zero) = complement(composition(top,one)),
inference(light_normalisation,[status(thm)],[c_15811,c_192,c_1360]) ).
tcf(c_15832,plain,
! [X0: $i] : join(complement(composition(top,X0)),join(complement(complement(composition(top,X0))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_15817,c_50,c_49]) ).
tcf(c_15834,plain,
join(composition(converse(iPr_def_10),complement(zero)),complement(composition(top,complement(composition(converse(iPr_def_10),top))))) = complement(composition(top,complement(composition(converse(iPr_def_10),top)))),
inference(theory_normalisation,[status(thm)],[c_15815,c_50,c_49]) ).
tcf(c_15835,plain,
join(composition(converse(iPr_def_10),top),complement(composition(top,complement(composition(converse(iPr_def_10),top))))) = complement(composition(top,complement(composition(converse(iPr_def_10),top)))),
inference(light_normalisation,[status(thm)],[c_15834,c_1431]) ).
tcf(c_15837,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_7732,c_350]) ).
tcf(c_15838,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero,
inference(superposition,[status(thm)],[c_107,c_350]) ).
tcf(c_15841,plain,
! [X0: $i] : join(top,composition(X0,complement(composition(converse(X0),zero)))) = top,
inference(superposition,[status(thm)],[c_1431,c_350]) ).
tcf(c_15842,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_52,c_350]) ).
tcf(c_15843,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,X1),composition(top,complement(composition(converse(join(iPr_def_10,composition(X1,top))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_445,c_350]) ).
tcf(c_15844,plain,
! [X0: $i] : join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1708,c_350]) ).
tcf(c_15848,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_57,c_350]) ).
tcf(c_15849,plain,
! [X0: $i] : join(complement(complement(composition(X0,top))),composition(X0,complement(zero))) = complement(complement(composition(X0,top))),
inference(superposition,[status(thm)],[c_9545,c_350]) ).
tcf(c_15850,plain,
join(complement(complement(iPr_def_12)),composition(iPr_def_11,complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_1359,c_350]) ).
tcf(c_15851,plain,
join(complement(iPr_def_11),composition(iPr_def_10,complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_1360,c_350]) ).
tcf(c_15852,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(join(iPr_def_10,X0),complement(zero))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_9562,c_350]) ).
tcf(c_15853,plain,
! [X0: $i] : join(complement(zero),composition(X0,complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_8201,c_350]) ).
tcf(c_15854,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_8222,c_350]) ).
tcf(c_15855,plain,
join(complement(iPr_def_10),composition(iPr_def_11,complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_3196,c_350]) ).
tcf(c_15856,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_12534,c_350]) ).
tcf(c_15857,plain,
join(complement(iPr_def_11),composition(complement(iPr_def_12),complement(zero))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_2775,c_350]) ).
tcf(c_15858,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_8221,c_350]) ).
tcf(c_15859,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_12795,c_350]) ).
tcf(c_15860,plain,
join(complement(iPr_def_12),composition(iPr_def_10,complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_7055,c_350]) ).
tcf(c_15861,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_8911,c_350]) ).
tcf(c_15862,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_13261,c_350]) ).
tcf(c_15863,plain,
join(complement(iPr_def_10),composition(iPr_def_12,complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_7459,c_350]) ).
tcf(c_15864,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_12931,c_350]) ).
tcf(c_15865,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_8927,c_350]) ).
tcf(c_15866,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_8919,c_350]) ).
tcf(c_15867,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_8938,c_350]) ).
tcf(c_15868,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_9546,c_350]) ).
tcf(c_15869,plain,
join(complement(complement(iPr_def_12)),composition(iPr_def_12,complement(zero))) = complement(complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_11843,c_350]) ).
tcf(c_15870,plain,
join(complement(iPr_def_12),composition(complement(iPr_def_12),complement(zero))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12194,c_350]) ).
tcf(c_15871,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(join(iPr_def_10,composition(X0,top)),complement(zero))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_12982,c_350]) ).
tcf(c_15882,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_1723,c_350]) ).
tcf(c_15883,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_1729,c_350]) ).
tcf(c_15884,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_2357,c_350]) ).
tcf(c_15886,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_350,c_375]) ).
tcf(c_15887,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_350,c_50]) ).
tcf(c_15890,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_350,c_191]) ).
tcf(c_15891,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(X0,complement(composition(converse(X0),join(iPr_def_11,complement(X1)))))) = join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_11,complement(X1)))),
inference(superposition,[status(thm)],[c_350,c_363]) ).
tcf(c_15894,plain,
! [X0: $i] : join(iPr_def_11,composition(X0,complement(composition(converse(X0),converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_350,c_12338]) ).
tcf(c_15909,plain,
join(complement(complement(iPr_def_12)),iPr_def_12) = complement(complement(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_15869,c_1431,c_11779]) ).
tcf(c_15910,plain,
join(iPr_def_12,complement(complement(iPr_def_12))) = complement(complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_15909,c_50,c_49]) ).
tcf(c_15911,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_15867,c_1431]) ).
tcf(c_15917,plain,
! [X0: $i] : join(complement(composition(iPr_def_10,X0)),iPr_def_12) = complement(composition(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_15865,c_1431,c_11779]) ).
tcf(c_15918,plain,
! [X0: $i] : join(iPr_def_12,complement(composition(iPr_def_10,X0))) = complement(composition(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_15917,c_50,c_49]) ).
tcf(c_15919,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_15861,c_193,c_1431]) ).
tcf(c_15920,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(iPr_def_12,X0))) = complement(composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_15919,c_50,c_49]) ).
tcf(c_15923,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_15854,c_193,c_1431]) ).
tcf(c_15924,plain,
! [X0: $i] : join(iPr_def_10,complement(composition(iPr_def_11,X0))) = complement(composition(iPr_def_11,X0)),
inference(theory_normalisation,[status(thm)],[c_15923,c_50,c_49]) ).
tcf(c_15927,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_15886,c_50,c_49]) ).
tcf(c_15928,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X0,composition(X1,complement(composition(converse(X1),X0))))) = top,
inference(light_normalisation,[status(thm)],[c_15927,c_7732]) ).
tcf(c_15929,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),composition(X1,complement(composition(converse(X1),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_15928,c_50,c_49]) ).
tcf(c_15931,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_15856,c_50,c_49]) ).
tcf(c_15932,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_15931,c_116,c_1431]) ).
tcf(c_15933,plain,
! [X0: $i] : join(composition(X0,complement(zero)),complement(complement(composition(X0,top)))) = complement(complement(composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_15849,c_50,c_49]) ).
tcf(c_15935,plain,
! [X0: $i] : join(iPr_def_11,composition(X0,complement(composition(converse(X0),converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_15894,c_12393]) ).
tcf(c_15936,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_15868,c_50,c_49]) ).
tcf(c_15938,plain,
! [X0: $i] : join(composition(join(iPr_def_10,X0),complement(zero)),complement(complement(join(iPr_def_10,composition(X0,top))))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_15852,c_50,c_49]) ).
tcf(c_15939,plain,
! [X0: $i] : join(join(iPr_def_10,composition(X0,top)),complement(complement(join(iPr_def_10,composition(X0,top))))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(light_normalisation,[status(thm)],[c_15938,c_392,c_1431]) ).
tcf(c_15940,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),complement(complement(join(iPr_def_10,composition(X0,top)))))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_15939,c_50,c_49]) ).
tcf(c_15941,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(join(iPr_def_10,composition(X0,top)),top)) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(light_normalisation,[status(thm)],[c_15871,c_1431]) ).
tcf(c_15962,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(join(top,X0),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_54,c_15739]) ).
tcf(c_15964,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(composition(top,iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_15739]) ).
tcf(c_15971,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(join(X0,one),composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1782,c_15739]) ).
tcf(c_15972,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(join(one,X0),composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_1767,c_15739]) ).
tcf(c_15975,plain,
join(complement(iPr_def_12),composition(top,composition(top,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_11631,c_15739]) ).
tcf(c_15979,plain,
! [X0: $i] : join(complement(iPr_def_12),join(join(composition(top,iPr_def_11),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_15739,c_375]) ).
tcf(c_15980,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(join(composition(top,iPr_def_11),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_15739,c_50]) ).
tcf(c_15983,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(composition(top,iPr_def_11),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_15739,c_191]) ).
tcf(c_15998,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(top),join(X0,composition(top,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_15979,c_50,c_49]) ).
tcf(c_15999,plain,
! [X0: $i] : join(complement(iPr_def_12),join(zero,join(X0,composition(top,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_15998,c_107]) ).
tcf(c_16000,plain,
! [X0: $i] : join(zero,join(X0,join(complement(iPr_def_12),composition(top,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_15999,c_50,c_49]) ).
tcf(c_16003,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_11),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_15980,c_50,c_49]) ).
tcf(c_16012,plain,
! [X0: $i] : join(iPr_def_11,composition(join(top,X0),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_54,c_15762]) ).
tcf(c_16014,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(composition(top,complement(iPr_def_12)),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_15762]) ).
tcf(c_16021,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,one),composition(top,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_1782,c_15762]) ).
tcf(c_16022,plain,
! [X0: $i] : join(iPr_def_11,composition(join(one,X0),composition(top,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_1767,c_15762]) ).
tcf(c_16025,plain,
join(iPr_def_11,composition(top,composition(top,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_11631,c_15762]) ).
tcf(c_16029,plain,
! [X0: $i] : join(iPr_def_11,join(join(composition(top,complement(iPr_def_12)),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_15762,c_375]) ).
tcf(c_16030,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(composition(top,complement(iPr_def_12)),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_15762,c_50]) ).
tcf(c_16031,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(composition(top,complement(iPr_def_12)),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_15762,c_191]) ).
tcf(c_16033,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(join(composition(top,complement(iPr_def_12)),X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_15762,c_363]) ).
tcf(c_16038,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(composition(top,complement(iPr_def_12)),X0),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_15762,c_11158]) ).
tcf(c_16040,plain,
! [X0: $i] : join(iPr_def_12,composition(join(composition(top,complement(iPr_def_12)),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_15762,c_391]) ).
tcf(c_16067,plain,
! [X0: $i] : join(iPr_def_11,join(complement(top),join(X0,composition(top,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_16029,c_50,c_49]) ).
tcf(c_16068,plain,
! [X0: $i] : join(iPr_def_11,join(zero,join(X0,composition(top,complement(iPr_def_12))))) = top,
inference(light_normalisation,[status(thm)],[c_16067,c_107]) ).
tcf(c_16069,plain,
! [X0: $i] : join(iPr_def_12,composition(join(composition(top,complement(iPr_def_12)),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_16040,c_11762]) ).
tcf(c_16071,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(top,complement(iPr_def_12)),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_16030,c_50,c_49]) ).
tcf(c_16072,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,composition(top,complement(iPr_def_12)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_16038,c_50,c_49]) ).
tcf(c_16073,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,composition(top,complement(iPr_def_12)))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_16072,c_107]) ).
tcf(c_16074,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(iPr_def_11,complement(join(composition(top,complement(iPr_def_12)),X0)))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_16033,c_107]) ).
tcf(c_16082,plain,
join(iPr_def_10,complement(zero)) = complement(zero),
inference(superposition,[status(thm)],[c_8201,c_15920]) ).
tcf(c_16085,plain,
! [X0: $i] : join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),complement(complement(composition(iPr_def_12,X0))))) = top,
inference(superposition,[status(thm)],[c_15920,c_375]) ).
tcf(c_16086,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(superposition,[status(thm)],[c_15920,c_50]) ).
tcf(c_16087,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(composition(iPr_def_12,X1)))) = join(X0,complement(composition(iPr_def_12,X1))),
inference(superposition,[status(thm)],[c_15920,c_191]) ).
tcf(c_16089,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),complement(composition(iPr_def_12,X0))) = top,
inference(superposition,[status(thm)],[c_15920,c_7426]) ).
tcf(c_16090,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(composition(iPr_def_12,X1))),top)) = composition(join(X0,complement(composition(iPr_def_12,X1))),top),
inference(superposition,[status(thm)],[c_15920,c_9109]) ).
tcf(c_16091,plain,
! [X0: $i] : composition(converse(complement(composition(iPr_def_12,X0))),complement(join(iPr_def_10,composition(complement(composition(iPr_def_12,X0)),top)))) = zero,
inference(superposition,[status(thm)],[c_15920,c_9562]) ).
tcf(c_16092,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(composition(iPr_def_12,X0)),top)) = composition(complement(composition(iPr_def_12,X0)),top),
inference(superposition,[status(thm)],[c_15920,c_392]) ).
tcf(c_16093,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),join(X1,complement(composition(iPr_def_12,X0)))) = top,
inference(superposition,[status(thm)],[c_15920,c_12833]) ).
tcf(c_16096,plain,
join(iPr_def_10,complement(iPr_def_11)) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_53,c_15924]) ).
tcf(c_16101,plain,
! [X0: $i] : join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),complement(complement(composition(iPr_def_11,X0))))) = top,
inference(superposition,[status(thm)],[c_15924,c_375]) ).
tcf(c_16102,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(superposition,[status(thm)],[c_15924,c_50]) ).
tcf(c_16103,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(composition(iPr_def_11,X1)))) = join(X0,complement(composition(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_15924,c_191]) ).
tcf(c_16105,plain,
! [X0: $i] : join(composition(iPr_def_11,X0),complement(composition(iPr_def_11,X0))) = top,
inference(superposition,[status(thm)],[c_15924,c_7426]) ).
tcf(c_16106,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(composition(iPr_def_11,X1))),top)) = composition(join(X0,complement(composition(iPr_def_11,X1))),top),
inference(superposition,[status(thm)],[c_15924,c_9109]) ).
tcf(c_16107,plain,
! [X0: $i] : composition(converse(complement(composition(iPr_def_11,X0))),complement(join(iPr_def_10,composition(complement(composition(iPr_def_11,X0)),top)))) = zero,
inference(superposition,[status(thm)],[c_15924,c_9562]) ).
tcf(c_16108,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(composition(iPr_def_11,X0)),top)) = composition(complement(composition(iPr_def_11,X0)),top),
inference(superposition,[status(thm)],[c_15924,c_392]) ).
tcf(c_16109,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_11,X0),join(X1,complement(composition(iPr_def_11,X0)))) = top,
inference(superposition,[status(thm)],[c_15924,c_12833]) ).
tcf(c_16114,plain,
join(iPr_def_10,composition(complement(zero),top)) = composition(complement(zero),top),
inference(superposition,[status(thm)],[c_8201,c_16092]) ).
tcf(c_16117,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_12,X0)),top),complement(composition(complement(composition(iPr_def_12,X0)),top)))) = top,
inference(superposition,[status(thm)],[c_16092,c_375]) ).
tcf(c_16118,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_12,X0)),top),X1)) = join(composition(complement(composition(iPr_def_12,X0)),top),X1),
inference(superposition,[status(thm)],[c_16092,c_50]) ).
tcf(c_16119,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(complement(composition(iPr_def_12,X1)),top))) = join(X0,composition(complement(composition(iPr_def_12,X1)),top)),
inference(superposition,[status(thm)],[c_16092,c_191]) ).
tcf(c_16121,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(complement(composition(iPr_def_12,X1)),top)),top)) = composition(join(X0,composition(complement(composition(iPr_def_12,X1)),top)),top),
inference(superposition,[status(thm)],[c_16092,c_9109]) ).
tcf(c_16122,plain,
! [X0: $i] : composition(converse(composition(complement(composition(iPr_def_12,X0)),top)),complement(join(iPr_def_10,composition(composition(complement(composition(iPr_def_12,X0)),top),top)))) = zero,
inference(superposition,[status(thm)],[c_16092,c_9562]) ).
tcf(c_16123,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(composition(iPr_def_12,X0)),top),top)) = composition(composition(complement(composition(iPr_def_12,X0)),top),top),
inference(superposition,[status(thm)],[c_16092,c_392]) ).
tcf(c_16124,plain,
! [X0: $i] : composition(converse(composition(complement(composition(iPr_def_12,X0)),top)),complement(composition(complement(composition(iPr_def_12,X0)),top))) = zero,
inference(superposition,[status(thm)],[c_16092,c_12982]) ).
tcf(c_16125,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,complement(composition(iPr_def_12,X0))),composition(top,X1)) = composition(composition(complement(composition(iPr_def_12,X0)),top),X1),
inference(superposition,[status(thm)],[c_16092,c_445]) ).
tcf(c_16126,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,complement(composition(iPr_def_12,X0)))),complement(composition(complement(composition(iPr_def_12,X0)),top))) = zero,
inference(superposition,[status(thm)],[c_16092,c_9562]) ).
tcf(c_16128,plain,
! [X0: $i] : composition(converse(complement(composition(iPr_def_12,X0))),complement(composition(complement(composition(iPr_def_12,X0)),top))) = zero,
inference(light_normalisation,[status(thm)],[c_16126,c_15920]) ).
tcf(c_16129,plain,
! [X0: $i,X1: $i] : composition(composition(complement(composition(iPr_def_12,X0)),top),X1) = composition(complement(composition(iPr_def_12,X0)),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_16125,c_15920]) ).
tcf(c_16131,plain,
join(iPr_def_10,composition(complement(iPr_def_11),top)) = composition(complement(iPr_def_11),top),
inference(superposition,[status(thm)],[c_53,c_16108]) ).
tcf(c_16136,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_11,X0)),top),complement(composition(complement(composition(iPr_def_11,X0)),top)))) = top,
inference(superposition,[status(thm)],[c_16108,c_375]) ).
tcf(c_16137,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_11,X0)),top),X1)) = join(composition(complement(composition(iPr_def_11,X0)),top),X1),
inference(superposition,[status(thm)],[c_16108,c_50]) ).
tcf(c_16138,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(complement(composition(iPr_def_11,X1)),top))) = join(X0,composition(complement(composition(iPr_def_11,X1)),top)),
inference(superposition,[status(thm)],[c_16108,c_191]) ).
tcf(c_16140,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(complement(composition(iPr_def_11,X1)),top)),top)) = composition(join(X0,composition(complement(composition(iPr_def_11,X1)),top)),top),
inference(superposition,[status(thm)],[c_16108,c_9109]) ).
tcf(c_16141,plain,
! [X0: $i] : composition(converse(composition(complement(composition(iPr_def_11,X0)),top)),complement(join(iPr_def_10,composition(composition(complement(composition(iPr_def_11,X0)),top),top)))) = zero,
inference(superposition,[status(thm)],[c_16108,c_9562]) ).
tcf(c_16142,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(composition(iPr_def_11,X0)),top),top)) = composition(composition(complement(composition(iPr_def_11,X0)),top),top),
inference(superposition,[status(thm)],[c_16108,c_392]) ).
tcf(c_16143,plain,
! [X0: $i] : composition(converse(composition(complement(composition(iPr_def_11,X0)),top)),complement(composition(complement(composition(iPr_def_11,X0)),top))) = zero,
inference(superposition,[status(thm)],[c_16108,c_12982]) ).
tcf(c_16144,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,complement(composition(iPr_def_11,X0))),composition(top,X1)) = composition(composition(complement(composition(iPr_def_11,X0)),top),X1),
inference(superposition,[status(thm)],[c_16108,c_445]) ).
tcf(c_16145,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,complement(composition(iPr_def_11,X0)))),complement(composition(complement(composition(iPr_def_11,X0)),top))) = zero,
inference(superposition,[status(thm)],[c_16108,c_9562]) ).
tcf(c_16147,plain,
! [X0: $i] : composition(converse(complement(composition(iPr_def_11,X0))),complement(composition(complement(composition(iPr_def_11,X0)),top))) = zero,
inference(light_normalisation,[status(thm)],[c_16145,c_15924]) ).
tcf(c_16148,plain,
! [X0: $i,X1: $i] : composition(composition(complement(composition(iPr_def_11,X0)),top),X1) = composition(complement(composition(iPr_def_11,X0)),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_16144,c_15924]) ).
tcf(c_16157,plain,
! [X0: $i] : join(top,join(iPr_def_10,X0)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_533,c_1671,c_7096]) ).
tcf(c_16159,plain,
! [X0: $i] : join(X0,iPr_def_10) = join(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_593,c_1336,c_1671,c_7769]) ).
tcf(c_16163,plain,
join(zero,complement(join(zero,top))) = zero,
inference(light_normalisation,[status(thm)],[c_1062,c_1431]) ).
tcf(c_16170,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top)) = join(iPr_def_10,composition(X1,top)),
inference(demodulation,[status(thm)],[c_13888,c_392]) ).
tcf(c_16171,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(composition(complement(join(iPr_def_11,X0)),top),top))) = join(iPr_def_10,composition(iPr_def_11,top)),
inference(superposition,[status(thm)],[c_402,c_16170]) ).
tcf(c_16172,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top))) = join(iPr_def_10,composition(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_401,c_16170]) ).
tcf(c_16173,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_10,composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top))) = join(iPr_def_10,composition(join(iPr_def_10,X1),top)),
inference(superposition,[status(thm)],[c_9109,c_16170]) ).
tcf(c_16174,plain,
! [X0: $i] : join(iPr_def_10,join(top,composition(composition(complement(join(iPr_def_11,X0)),top),top))) = join(iPr_def_10,composition(one,top)),
inference(superposition,[status(thm)],[c_1782,c_16170]) ).
tcf(c_16175,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(composition(complement(join(iPr_def_11,X0)),top),top))) = join(iPr_def_10,composition(iPr_def_12,top)),
inference(superposition,[status(thm)],[c_11846,c_16170]) ).
tcf(c_16179,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(join(complement(join(iPr_def_11,X0)),X1),top),top)) = join(iPr_def_10,composition(composition(X1,top),top)),
inference(superposition,[status(thm)],[c_54,c_16170]) ).
tcf(c_16180,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(composition(complement(join(iPr_def_11,X0)),top)),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_59,c_16170]) ).
tcf(c_16181,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(composition(complement(join(iPr_def_11,X1)),top),X2)),top)) = join(iPr_def_10,composition(join(X0,X2),top)),
inference(superposition,[status(thm)],[c_191,c_16170]) ).
tcf(c_16182,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(composition(complement(join(iPr_def_11,X1)),top),X0))),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_375,c_16170]) ).
tcf(c_16183,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(complement(composition(complement(join(iPr_def_11,X0)),top)),X1),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_7124,c_16170]) ).
tcf(c_16184,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top)) = join(iPr_def_10,composition(zero,top)),
inference(superposition,[status(thm)],[c_1429,c_16170]) ).
tcf(c_16185,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(complement(converse(composition(complement(join(iPr_def_11,X0)),top)))),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_2345,c_16170]) ).
tcf(c_16186,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(join(X0,one),composition(complement(join(iPr_def_11,X1)),top)),top)) = join(iPr_def_10,composition(composition(X0,composition(complement(join(iPr_def_11,X1)),top)),top)),
inference(superposition,[status(thm)],[c_1782,c_16170]) ).
tcf(c_16187,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(join(one,X0),composition(complement(join(iPr_def_11,X1)),top)),top)) = join(iPr_def_10,composition(composition(X0,composition(complement(join(iPr_def_11,X1)),top)),top)),
inference(superposition,[status(thm)],[c_1767,c_16170]) ).
tcf(c_16188,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(composition(complement(join(iPr_def_11,X1)),top))),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_7426,c_16170]) ).
tcf(c_16189,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(complement(one),composition(complement(join(iPr_def_11,X0)),top)),top)) = join(iPr_def_10,composition(composition(top,composition(complement(join(iPr_def_11,X0)),top)),top)),
inference(superposition,[status(thm)],[c_11631,c_16170]) ).
tcf(c_16190,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(top,complement(composition(complement(join(iPr_def_11,X0)),top))),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_11752,c_16170]) ).
tcf(c_16191,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(composition(complement(join(iPr_def_11,X2)),top)))),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_12833,c_16170]) ).
tcf(c_16196,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(composition(complement(join(X0,join(iPr_def_11,X1))),top),X2),top)) = join(iPr_def_10,composition(X2,top)),
inference(superposition,[status(thm)],[c_191,c_16170]) ).
tcf(c_16222,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(complement(composition(top,iPr_def_11)),top),X0),top)) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_11631,c_16170]) ).
tcf(c_16225,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(composition(complement(join(X0,iPr_def_11)),top),X1),top)) = join(iPr_def_10,composition(X1,top)),
inference(superposition,[status(thm)],[c_12339,c_16170]) ).
tcf(c_16231,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(complement(iPr_def_11),top),X0),top)) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_14347,c_16170]) ).
tcf(c_16232,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(complement(top),top),X0),top)) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_15762,c_16170]) ).
tcf(c_16234,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),complement(join(iPr_def_10,composition(X1,top))))) = top,
inference(superposition,[status(thm)],[c_16170,c_375]) ).
tcf(c_16235,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),X2)) = join(join(iPr_def_10,composition(X1,top)),X2),
inference(superposition,[status(thm)],[c_16170,c_50]) ).
tcf(c_16236,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,composition(join(composition(complement(join(iPr_def_11,X1)),top),X2),top))) = join(X0,join(iPr_def_10,composition(X2,top))),
inference(superposition,[status(thm)],[c_16170,c_191]) ).
tcf(c_16238,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,composition(join(composition(complement(join(iPr_def_11,X1)),top),X2),top)),top)) = composition(join(X0,join(iPr_def_10,composition(X2,top))),top),
inference(superposition,[status(thm)],[c_16170,c_9109]) ).
tcf(c_16239,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,composition(X0,top))),complement(join(iPr_def_10,composition(composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top),top)))) = zero,
inference(superposition,[status(thm)],[c_16170,c_9562]) ).
tcf(c_16240,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),top)) = composition(join(iPr_def_10,composition(X1,top)),top),
inference(superposition,[status(thm)],[c_16170,c_392]) ).
tcf(c_16242,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),X1)),composition(top,X2)) = composition(join(iPr_def_10,composition(X1,top)),X2),
inference(superposition,[status(thm)],[c_16170,c_445]) ).
tcf(c_16243,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),X1))),complement(join(iPr_def_10,composition(X1,top)))) = zero,
inference(superposition,[status(thm)],[c_16170,c_9562]) ).
tcf(c_16244,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(zero,top),X0),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_16232,c_107]) ).
tcf(c_16246,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(composition(complement(join(iPr_def_11,X0)),top)),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_16180,c_11762]) ).
tcf(c_16247,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(composition(complement(join(iPr_def_11,X0)),top),top))) = top,
inference(light_normalisation,[status(thm)],[c_16175,c_11774,c_11779]) ).
tcf(c_16248,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top))) = join(iPr_def_10,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_16172,c_193]) ).
tcf(c_16250,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(top,complement(composition(complement(join(iPr_def_11,X0)),top))),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_16190,c_11762]) ).
tcf(c_16251,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(composition(complement(join(iPr_def_11,X1)),top))),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_16188,c_11762]) ).
tcf(c_16252,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(complement(converse(composition(complement(join(iPr_def_11,X0)),top)))),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_16185,c_11762]) ).
tcf(c_16253,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(complement(composition(complement(join(iPr_def_11,X0)),top)),X1),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_16183,c_11762]) ).
tcf(c_16255,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_10,composition(X0,top))),composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top))) = top,
inference(theory_normalisation,[status(thm)],[c_16234,c_50,c_49]) ).
tcf(c_16256,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(composition(complement(join(iPr_def_11,X2)),top)))),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_16191,c_11762]) ).
tcf(c_16257,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(composition(complement(join(iPr_def_11,X1)),top),X0))),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_16182,c_11762]) ).
tcf(c_16259,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),X2)) = join(iPr_def_10,join(composition(X1,top),X2)),
inference(theory_normalisation,[status(thm)],[c_16235,c_50,c_49]) ).
tcf(c_16263,plain,
join(iPr_def_10,join(iPr_def_10,composition(zero,top))) = join(iPr_def_10,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_16248,c_16184]) ).
tcf(c_16265,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,top))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1435,c_1431,c_1671]) ).
tcf(c_16269,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_355,c_7732]) ).
tcf(c_16272,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X0,complement(composition(converse(X1),complement(composition(X1,complement(X0)))))))) = complement(X0),
inference(superposition,[status(thm)],[c_7732,c_16269]) ).
tcf(c_16273,plain,
! [X0: $i] : join(top,complement(join(zero,complement(composition(converse(X0),complement(composition(X0,top))))))) = top,
inference(superposition,[status(thm)],[c_107,c_16269]) ).
tcf(c_16274,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_192,c_16269]) ).
tcf(c_16275,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1671,c_16269]) ).
tcf(c_16276,plain,
! [X0: $i] : join(zero,complement(join(top,complement(composition(converse(X0),complement(composition(X0,zero))))))) = zero,
inference(superposition,[status(thm)],[c_1431,c_16269]) ).
tcf(c_16277,plain,
join(top,complement(join(complement(top),complement(zero)))) = top,
inference(superposition,[status(thm)],[c_9545,c_16269]) ).
tcf(c_16278,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(X1,complement(composition(converse(X1),X0))))))) = X0,
inference(superposition,[status(thm)],[c_55,c_16269]) ).
tcf(c_16279,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(X0),complement(composition(join(converse(X1),X2),complement(composition(join(converse(X2),X1),X0))))))) = X0,
inference(superposition,[status(thm)],[c_985,c_16269]) ).
tcf(c_16280,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(X0),complement(composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),X0))))))) = X0,
inference(superposition,[status(thm)],[c_221,c_16269]) ).
tcf(c_16281,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(X0),complement(composition(join(X1,converse(X2)),complement(composition(join(X2,converse(X1)),X0))))))) = X0,
inference(superposition,[status(thm)],[c_765,c_16269]) ).
tcf(c_16282,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(X0),complement(composition(join(converse(X1),X2),complement(composition(join(X1,converse(X2)),X0))))))) = X0,
inference(superposition,[status(thm)],[c_222,c_16269]) ).
tcf(c_16283,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(X0),complement(composition(composition(X1,converse(X2)),complement(composition(composition(X2,converse(X1)),X0))))))) = X0,
inference(superposition,[status(thm)],[c_225,c_16269]) ).
tcf(c_16284,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(X0),complement(composition(composition(converse(X1),X2),complement(composition(composition(converse(X2),X1),X0))))))) = X0,
inference(superposition,[status(thm)],[c_226,c_16269]) ).
tcf(c_16285,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(composition(top,complement(composition(top,X0))))))) = X0,
inference(superposition,[status(thm)],[c_2343,c_16269]) ).
tcf(c_16286,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(composition(zero,complement(composition(zero,X0))))))) = X0,
inference(superposition,[status(thm)],[c_1950,c_16269]) ).
tcf(c_16287,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(composition(one,complement(composition(one,X0))))))) = X0,
inference(superposition,[status(thm)],[c_1689,c_16269]) ).
tcf(c_16288,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(join(one,converse(X1)),complement(composition(join(one,X1),X0))))))) = X0,
inference(superposition,[status(thm)],[c_1723,c_16269]) ).
tcf(c_16289,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(join(one,converse(X1)),complement(composition(join(X1,one),X0))))))) = X0,
inference(superposition,[status(thm)],[c_1729,c_16269]) ).
tcf(c_16290,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(composition(converse(X1),top),complement(composition(composition(top,X1),X0))))))) = X0,
inference(superposition,[status(thm)],[c_2357,c_16269]) ).
tcf(c_16291,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(X0),complement(composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))))))) = X0,
inference(superposition,[status(thm)],[c_52,c_16269]) ).
tcf(c_16292,plain,
! [X0: $i] : join(one,complement(join(complement(one),complement(composition(converse(X0),complement(X0)))))) = one,
inference(superposition,[status(thm)],[c_53,c_16269]) ).
tcf(c_16293,plain,
! [X0: $i,X1: $i] : join(converse(X0),complement(join(complement(converse(X0)),complement(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))))) = converse(X0),
inference(superposition,[status(thm)],[c_57,c_16269]) ).
tcf(c_16294,plain,
join(top,complement(join(complement(top),complement(composition(converse(iPr_def_11),complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_116,c_16269]) ).
tcf(c_16295,plain,
join(top,complement(join(complement(top),complement(composition(converse(iPr_def_10),complement(iPr_def_10)))))) = top,
inference(superposition,[status(thm)],[c_193,c_16269]) ).
tcf(c_16296,plain,
! [X0: $i] : join(complement(composition(X0,top)),complement(join(complement(complement(composition(X0,top))),complement(composition(converse(converse(X0)),complement(zero)))))) = complement(composition(X0,top)),
inference(superposition,[status(thm)],[c_9545,c_16269]) ).
tcf(c_16297,plain,
join(complement(iPr_def_12),complement(join(complement(complement(iPr_def_12)),complement(composition(converse(converse(iPr_def_11)),complement(zero)))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_1359,c_16269]) ).
tcf(c_16298,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(composition(converse(converse(iPr_def_10)),complement(zero)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1360,c_16269]) ).
tcf(c_16299,plain,
! [X0: $i] : join(composition(top,X0),complement(join(complement(composition(top,X0)),complement(composition(converse(iPr_def_11),complement(composition(iPr_def_12,X0))))))) = composition(top,X0),
inference(superposition,[status(thm)],[c_382,c_16269]) ).
tcf(c_16300,plain,
! [X0: $i] : join(composition(top,X0),complement(join(complement(composition(top,X0)),complement(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))))))) = composition(top,X0),
inference(superposition,[status(thm)],[c_383,c_16269]) ).
tcf(c_16301,plain,
! [X0: $i] : join(top,complement(join(complement(top),complement(composition(converse(join(iPr_def_11,X0)),complement(join(iPr_def_12,composition(X0,top)))))))) = top,
inference(superposition,[status(thm)],[c_391,c_16269]) ).
tcf(c_16302,plain,
! [X0: $i] : join(top,complement(join(complement(top),complement(composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(X0,top)))))))) = top,
inference(superposition,[status(thm)],[c_392,c_16269]) ).
tcf(c_16303,plain,
! [X0: $i] : join(top,complement(join(complement(top),complement(composition(converse(join(X0,iPr_def_11)),complement(join(iPr_def_12,composition(X0,top)))))))) = top,
inference(superposition,[status(thm)],[c_402,c_16269]) ).
tcf(c_16304,plain,
! [X0: $i] : join(top,complement(join(complement(top),complement(composition(converse(join(X0,iPr_def_10)),complement(join(iPr_def_10,composition(X0,top)))))))) = top,
inference(superposition,[status(thm)],[c_401,c_16269]) ).
tcf(c_16305,plain,
join(top,complement(join(complement(top),complement(composition(converse(top),complement(top)))))) = top,
inference(superposition,[status(thm)],[c_11762,c_16269]) ).
tcf(c_16306,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(converse(join(iPr_def_10,composition(X1,top))),complement(composition(join(iPr_def_10,X1),composition(top,X0)))))))) = X0,
inference(superposition,[status(thm)],[c_445,c_16269]) ).
tcf(c_16307,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(top),complement(composition(converse(join(X0,join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(join(X0,X1),top)))))))) = top,
inference(superposition,[status(thm)],[c_9109,c_16269]) ).
tcf(c_16308,plain,
! [X0: $i] : join(complement(join(iPr_def_10,composition(X0,top))),complement(join(complement(complement(join(iPr_def_10,composition(X0,top)))),complement(composition(converse(converse(join(iPr_def_10,X0))),complement(zero)))))) = complement(join(iPr_def_10,composition(X0,top))),
inference(superposition,[status(thm)],[c_9562,c_16269]) ).
tcf(c_16309,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(composition(converse(one),complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_1708,c_16269]) ).
tcf(c_16310,plain,
join(top,complement(join(complement(top),complement(composition(converse(iPr_def_12),complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_11779,c_16269]) ).
tcf(c_16311,plain,
! [X0: $i] : join(zero,complement(join(complement(zero),complement(composition(converse(X0),complement(zero)))))) = zero,
inference(superposition,[status(thm)],[c_8201,c_16269]) ).
tcf(c_16312,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(converse(join(one,X1)),complement(join(X0,composition(X1,X0)))))))) = X0,
inference(superposition,[status(thm)],[c_1767,c_16269]) ).
tcf(c_16313,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(converse(join(X1,one)),complement(join(X0,composition(X1,X0)))))))) = X0,
inference(superposition,[status(thm)],[c_1782,c_16269]) ).
tcf(c_16314,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(composition(converse(zero),complement(zero)))))) = X0,
inference(superposition,[status(thm)],[c_8217,c_16269]) ).
tcf(c_16315,plain,
! [X0: $i] : join(composition(iPr_def_11,X0),complement(join(complement(composition(iPr_def_11,X0)),complement(composition(converse(converse(iPr_def_10)),complement(zero)))))) = composition(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_8222,c_16269]) ).
tcf(c_16316,plain,
join(iPr_def_10,complement(join(complement(iPr_def_10),complement(composition(converse(converse(iPr_def_11)),complement(zero)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3196,c_16269]) ).
tcf(c_16317,plain,
! [X0: $i] : join(composition(complement(iPr_def_12),X0),complement(join(complement(composition(complement(iPr_def_12),X0)),complement(composition(converse(converse(iPr_def_11)),complement(zero)))))) = composition(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_12534,c_16269]) ).
tcf(c_16318,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(composition(converse(converse(complement(iPr_def_12))),complement(zero)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2775,c_16269]) ).
tcf(c_16319,plain,
! [X0: $i] : join(composition(iPr_def_10,X0),complement(join(complement(composition(iPr_def_10,X0)),complement(composition(converse(converse(iPr_def_11)),complement(zero)))))) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_8221,c_16269]) ).
tcf(c_16320,plain,
! [X0: $i] : join(composition(iPr_def_11,X0),complement(join(complement(composition(iPr_def_11,X0)),complement(composition(converse(converse(complement(iPr_def_12))),complement(zero)))))) = composition(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_12795,c_16269]) ).
tcf(c_16321,plain,
join(iPr_def_12,complement(join(complement(iPr_def_12),complement(composition(converse(converse(iPr_def_10)),complement(zero)))))) = iPr_def_12,
inference(superposition,[status(thm)],[c_7055,c_16269]) ).
tcf(c_16322,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),complement(join(complement(composition(iPr_def_12,X0)),complement(composition(converse(converse(iPr_def_10)),complement(zero)))))) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_8911,c_16269]) ).
tcf(c_16323,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(iPr_def_10),complement(composition(converse(converse(composition(iPr_def_11,X0))),complement(zero)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13261,c_16269]) ).
tcf(c_16324,plain,
join(iPr_def_10,complement(join(complement(iPr_def_10),complement(composition(converse(converse(iPr_def_12)),complement(zero)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7459,c_16269]) ).
tcf(c_16325,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(composition(converse(converse(composition(iPr_def_10,X0))),complement(zero)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12931,c_16269]) ).
tcf(c_16326,plain,
! [X0: $i] : join(composition(iPr_def_10,X0),complement(join(complement(composition(iPr_def_10,X0)),complement(composition(converse(converse(iPr_def_12)),complement(zero)))))) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_8927,c_16269]) ).
tcf(c_16327,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(iPr_def_10),complement(composition(converse(converse(composition(iPr_def_12,X0))),complement(zero)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8919,c_16269]) ).
tcf(c_16328,plain,
! [X0: $i] : join(iPr_def_12,complement(join(complement(iPr_def_12),complement(composition(converse(converse(composition(iPr_def_10,X0))),complement(zero)))))) = iPr_def_12,
inference(superposition,[status(thm)],[c_8938,c_16269]) ).
tcf(c_16329,plain,
! [X0: $i] : join(complement(composition(converse(X0),top)),complement(join(complement(complement(composition(converse(X0),top))),complement(composition(converse(X0),complement(zero)))))) = complement(composition(converse(X0),top)),
inference(superposition,[status(thm)],[c_9546,c_16269]) ).
tcf(c_16330,plain,
! [X0: $i] : join(top,complement(join(complement(top),complement(composition(converse(join(iPr_def_12,X0)),complement(join(iPr_def_12,composition(X0,top)))))))) = top,
inference(superposition,[status(thm)],[c_11839,c_16269]) ).
tcf(c_16331,plain,
join(top,complement(join(complement(top),complement(composition(converse(complement(iPr_def_12)),complement(iPr_def_10)))))) = top,
inference(superposition,[status(thm)],[c_15143,c_16269]) ).
tcf(c_16332,plain,
! [X0: $i] : join(top,complement(join(complement(top),complement(composition(converse(join(X0,iPr_def_12)),complement(join(iPr_def_12,composition(X0,top)))))))) = top,
inference(superposition,[status(thm)],[c_11846,c_16269]) ).
tcf(c_16333,plain,
! [X0: $i] : join(composition(top,X0),complement(join(complement(composition(top,X0)),complement(composition(converse(iPr_def_12),complement(composition(iPr_def_12,X0))))))) = composition(top,X0),
inference(superposition,[status(thm)],[c_11840,c_16269]) ).
tcf(c_16334,plain,
join(complement(iPr_def_12),complement(join(complement(complement(iPr_def_12)),complement(composition(converse(converse(iPr_def_12)),complement(zero)))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_11843,c_16269]) ).
tcf(c_16335,plain,
join(iPr_def_12,complement(join(complement(iPr_def_12),complement(composition(converse(converse(complement(iPr_def_12))),complement(zero)))))) = iPr_def_12,
inference(superposition,[status(thm)],[c_12194,c_16269]) ).
tcf(c_16336,plain,
! [X0: $i] : join(complement(join(iPr_def_10,composition(X0,top))),complement(join(complement(complement(join(iPr_def_10,composition(X0,top)))),complement(composition(converse(converse(join(iPr_def_10,composition(X0,top)))),complement(zero)))))) = complement(join(iPr_def_10,composition(X0,top))),
inference(superposition,[status(thm)],[c_12982,c_16269]) ).
tcf(c_16337,plain,
! [X0: $i] : join(composition(top,X0),complement(join(complement(composition(top,X0)),complement(composition(converse(complement(iPr_def_12)),complement(composition(iPr_def_10,X0))))))) = composition(top,X0),
inference(superposition,[status(thm)],[c_15252,c_16269]) ).
tcf(c_16339,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_16269,c_375]) ).
tcf(c_16340,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_16269,c_50]) ).
tcf(c_16342,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(join(X0,X1)),complement(composition(converse(X2),complement(composition(X2,join(X0,X1))))))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_16269,c_50]) ).
tcf(c_16344,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(X0),complement(composition(converse(X2),complement(composition(X2,X0)))))))) = join(X1,X0),
inference(superposition,[status(thm)],[c_16269,c_191]) ).
tcf(c_16345,plain,
! [X0: $i,X1: $i] : join(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))),X0) = top,
inference(superposition,[status(thm)],[c_16269,c_7426]) ).
tcf(c_16346,plain,
! [X0: $i] : complement(join(complement(zero),complement(composition(converse(X0),complement(composition(X0,zero)))))) = zero,
inference(superposition,[status(thm)],[c_16269,c_1336]) ).
tcf(c_16348,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(complement(join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_16269,c_363]) ).
tcf(c_16353,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_11)))))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_16269,c_11158]) ).
tcf(c_16355,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_11)))))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_16269,c_391]) ).
tcf(c_16358,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))),join(complement(iPr_def_11),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_16269,c_363]) ).
tcf(c_16359,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))),join(iPr_def_11,complement(iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16269,c_1888]) ).
tcf(c_16360,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(complement(join(complement(converse(X0)),complement(composition(converse(X1),complement(composition(X1,converse(X0))))))))),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16269,c_776]) ).
tcf(c_16362,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(complement(converse(X0)),complement(composition(converse(X1),complement(composition(X1,converse(X0))))))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_16269,c_221]) ).
tcf(c_16363,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(complement(iPr_def_10),complement(composition(converse(X1),complement(composition(X1,iPr_def_10))))))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_16269,c_9109]) ).
tcf(c_16364,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(composition(converse(X1),complement(composition(X1,complement(join(iPr_def_11,complement(X0)))))))))) = join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0)))),
inference(superposition,[status(thm)],[c_16269,c_363]) ).
tcf(c_16365,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(complement(join(complement(iPr_def_10),complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))),top)))) = zero,
inference(superposition,[status(thm)],[c_16269,c_9562]) ).
tcf(c_16366,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(complement(iPr_def_10),complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_16269,c_392]) ).
tcf(c_16370,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(composition(converse(X1),complement(composition(X1,composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))) = join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))),
inference(superposition,[status(thm)],[c_16269,c_434]) ).
tcf(c_16371,plain,
! [X0: $i] : join(one,converse(complement(join(complement(one),complement(composition(converse(X0),complement(composition(X0,one)))))))) = converse(one),
inference(superposition,[status(thm)],[c_16269,c_1723]) ).
tcf(c_16372,plain,
! [X0: $i,X1: $i] : join(X0,composition(complement(join(complement(one),complement(composition(converse(X1),complement(composition(X1,one)))))),X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_16269,c_1767]) ).
tcf(c_16375,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(complement(iPr_def_12),complement(composition(converse(X0),complement(composition(X0,iPr_def_12)))))),top)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_16269,c_11839]) ).
tcf(c_16377,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_12),complement(composition(converse(X0),complement(composition(X0,iPr_def_12))))))) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_16269,c_3214]) ).
tcf(c_16379,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))),join(X2,X0)) = top,
inference(superposition,[status(thm)],[c_16269,c_12833]) ).
tcf(c_16384,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(converse(complement(converse(iPr_def_11))))),complement(composition(converse(X0),complement(composition(X0,complement(converse(complement(converse(iPr_def_11))))))))))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_16269,c_12338]) ).
tcf(c_16386,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(complement(composition(complement(join(iPr_def_11,X0)),top)),complement(composition(converse(X1),complement(composition(X1,composition(complement(join(iPr_def_11,X0)),top))))))),top)) = join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top)),
inference(superposition,[status(thm)],[c_16269,c_16170]) ).
tcf(c_16387,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(complement(composition(complement(join(iPr_def_11,X0)),top)),complement(composition(converse(X1),complement(composition(X1,composition(complement(join(iPr_def_11,X0)),top)))))))) = join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)),
inference(superposition,[status(thm)],[c_16269,c_13393]) ).
tcf(c_16390,plain,
join(top,complement(join(zero,top))) = top,
inference(light_normalisation,[status(thm)],[c_16277,c_107,c_1431]) ).
tcf(c_16391,plain,
! [X0: $i] : complement(join(top,complement(composition(converse(X0),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_16346,c_1431,c_8201]) ).
tcf(c_16392,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(composition(zero,top))))) = X0,
inference(light_normalisation,[status(thm)],[c_16314,c_1431,c_1950]) ).
tcf(c_16393,plain,
! [X0: $i] : join(zero,complement(join(top,complement(composition(converse(X0),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_16311,c_1431]) ).
tcf(c_16395,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),complement(composition(one,complement(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_16309,c_1689]) ).
tcf(c_16396,plain,
join(top,complement(join(zero,complement(composition(top,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_16305,c_107,c_2343]) ).
tcf(c_16399,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_16345,c_50,c_49]) ).
tcf(c_16401,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(composition(converse(converse(iPr_def_12)),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_16324,c_192,c_1431]) ).
tcf(c_16402,plain,
join(iPr_def_12,complement(join(complement(iPr_def_12),complement(composition(converse(converse(iPr_def_10)),top))))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_16321,c_1431]) ).
tcf(c_16403,plain,
join(iPr_def_10,complement(join(iPr_def_11,complement(composition(converse(converse(iPr_def_11)),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_16316,c_192,c_1431]) ).
tcf(c_16404,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(converse(iPr_def_10)),top))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16298,c_1431,c_1671]) ).
tcf(c_16410,plain,
join(iPr_def_12,complement(join(complement(iPr_def_12),complement(composition(converse(converse(complement(iPr_def_12))),top))))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_16335,c_1431]) ).
tcf(c_16411,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(converse(complement(iPr_def_12))),top))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16318,c_1431,c_1671]) ).
tcf(c_16412,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),complement(composition(converse(X2),complement(composition(X2,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_16379,c_50,c_49]) ).
tcf(c_16413,plain,
! [X0: $i] : join(iPr_def_12,complement(join(complement(iPr_def_12),complement(composition(converse(converse(composition(iPr_def_10,X0))),top))))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_16328,c_1431]) ).
tcf(c_16414,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(composition(converse(converse(composition(iPr_def_12,X0))),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_16327,c_192,c_1431]) ).
tcf(c_16415,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(converse(composition(iPr_def_10,X0))),top))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16325,c_1431,c_1671]) ).
tcf(c_16416,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(composition(converse(converse(composition(iPr_def_11,X0))),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_16323,c_192,c_1431]) ).
tcf(c_16417,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_12),complement(composition(converse(X0),complement(composition(X0,iPr_def_12))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16377,c_3207]) ).
tcf(c_16418,plain,
! [X0: $i] : join(one,converse(complement(join(complement(one),complement(composition(converse(X0),complement(X0))))))) = one,
inference(light_normalisation,[status(thm)],[c_16371,c_53,c_1689]) ).
tcf(c_16419,plain,
join(complement(iPr_def_12),complement(join(complement(complement(iPr_def_12)),complement(composition(converse(converse(iPr_def_12)),top))))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_16334,c_1431]) ).
tcf(c_16420,plain,
join(complement(iPr_def_12),complement(join(complement(complement(iPr_def_12)),complement(composition(converse(converse(iPr_def_11)),top))))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_16297,c_1431]) ).
tcf(c_16421,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_16339,c_50,c_49]) ).
tcf(c_16422,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(complement(iPr_def_12),complement(composition(converse(X0),complement(composition(X0,iPr_def_12)))))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_16375,c_11779]) ).
tcf(c_16423,plain,
! [X0: $i,X1: $i] : join(X0,composition(complement(join(complement(one),complement(composition(converse(X1),complement(composition(X1,one)))))),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_16372,c_1708]) ).
tcf(c_16424,plain,
join(iPr_def_10,composition(complement(join(iPr_def_11,top)),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_16366,c_192,c_193,c_12704]) ).
tcf(c_16425,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_11)))))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_16355,c_116,c_1671]) ).
tcf(c_16432,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(complement(converse(X0)),complement(composition(converse(X1),complement(composition(X1,converse(X0))))))))) = X0,
inference(light_normalisation,[status(thm)],[c_16362,c_55]) ).
tcf(c_16435,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(complement(iPr_def_11),join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_16359,c_50,c_49]) ).
tcf(c_16436,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16435,c_1671]) ).
tcf(c_16437,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_16436,c_50,c_49]) ).
tcf(c_16438,plain,
! [X0: $i] : join(composition(iPr_def_10,X0),complement(join(complement(composition(iPr_def_10,X0)),complement(composition(converse(converse(iPr_def_12)),top))))) = composition(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_16326,c_1431]) ).
tcf(c_16439,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),complement(join(complement(composition(iPr_def_12,X0)),complement(composition(converse(converse(iPr_def_10)),top))))) = composition(iPr_def_12,X0),
inference(light_normalisation,[status(thm)],[c_16322,c_1431]) ).
tcf(c_16440,plain,
! [X0: $i] : join(composition(iPr_def_10,X0),complement(join(complement(composition(iPr_def_10,X0)),complement(composition(converse(converse(iPr_def_11)),top))))) = composition(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_16319,c_1431]) ).
tcf(c_16441,plain,
! [X0: $i] : join(composition(iPr_def_11,X0),complement(join(complement(composition(iPr_def_11,X0)),complement(composition(converse(converse(iPr_def_10)),top))))) = composition(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_16315,c_1431]) ).
tcf(c_16442,plain,
composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(complement(join(iPr_def_11,top)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_16365,c_192,c_12704]) ).
tcf(c_16443,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(complement(iPr_def_11),complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_16353,c_50,c_49]) ).
tcf(c_16444,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))) = join(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_16443,c_1671]) ).
tcf(c_16445,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_16444,c_50,c_49]) ).
tcf(c_16446,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))) = top,
inference(light_normalisation,[status(thm)],[c_16445,c_209]) ).
tcf(c_16447,plain,
! [X0: $i] : join(composition(iPr_def_11,X0),complement(join(complement(composition(iPr_def_11,X0)),complement(composition(converse(converse(complement(iPr_def_12))),top))))) = composition(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_16320,c_1431]) ).
tcf(c_16448,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(X0,complement(join(iPr_def_11,join(complement(iPr_def_11),complement(composition(converse(X1),complement(composition(X1,iPr_def_11))))))))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_16358,c_50,c_49]) ).
tcf(c_16449,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_11,join(iPr_def_10,complement(composition(converse(X1),complement(composition(X1,iPr_def_11))))))))) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_16448,c_1671]) ).
tcf(c_16450,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_10,join(iPr_def_11,complement(composition(converse(X1),complement(composition(X1,iPr_def_11))))))))) = join(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_16449,c_50,c_49]) ).
tcf(c_16451,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,complement(join(iPr_def_11,complement(composition(converse(X1),complement(composition(X1,iPr_def_10))))))),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_16363,c_192,c_401]) ).
tcf(c_16452,plain,
! [X0: $i] : join(composition(complement(iPr_def_12),X0),complement(join(complement(composition(complement(iPr_def_12),X0)),complement(composition(converse(converse(iPr_def_11)),top))))) = composition(complement(iPr_def_12),X0),
inference(light_normalisation,[status(thm)],[c_16317,c_1431]) ).
tcf(c_16454,plain,
! [X0: $i] : join(complement(composition(X0,top)),complement(join(complement(complement(composition(X0,top))),complement(composition(X0,top))))) = complement(composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_16296,c_55,c_1431]) ).
tcf(c_16455,plain,
! [X0: $i] : join(complement(composition(X0,top)),complement(join(complement(composition(X0,top)),complement(complement(composition(X0,top)))))) = complement(composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_16454,c_50,c_49]) ).
tcf(c_16456,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(complement(join(iPr_def_10,complement(composition(converse(X0),complement(composition(X0,iPr_def_11))))))))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_16348,c_1671]) ).
tcf(c_16457,plain,
! [X0: $i] : join(complement(composition(converse(X0),top)),complement(join(complement(complement(composition(converse(X0),top))),complement(composition(converse(X0),top))))) = complement(composition(converse(X0),top)),
inference(light_normalisation,[status(thm)],[c_16329,c_1431]) ).
tcf(c_16458,plain,
! [X0: $i] : join(complement(composition(converse(X0),top)),complement(join(complement(composition(converse(X0),top)),complement(complement(composition(converse(X0),top)))))) = complement(composition(converse(X0),top)),
inference(theory_normalisation,[status(thm)],[c_16457,c_50,c_49]) ).
tcf(c_16459,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(complement(converse(complement(converse(iPr_def_11))))),complement(composition(converse(X0),complement(composition(X0,complement(converse(complement(converse(iPr_def_11))))))))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_16384,c_12393]) ).
tcf(c_16460,plain,
! [X0: $i] : join(complement(join(iPr_def_10,composition(X0,top))),complement(join(complement(complement(join(iPr_def_10,composition(X0,top)))),complement(composition(converse(converse(join(iPr_def_10,X0))),top))))) = complement(join(iPr_def_10,composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_16308,c_1431]) ).
tcf(c_16461,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(complement(composition(complement(join(iPr_def_11,X0)),top)),complement(composition(converse(X1),complement(composition(X1,composition(complement(join(iPr_def_11,X0)),top)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_16387,c_13315]) ).
tcf(c_16462,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(complement(complement(join(iPr_def_11,complement(X0)))),complement(composition(converse(X1),complement(composition(X1,complement(join(iPr_def_11,complement(X0)))))))))) = join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))),
inference(light_normalisation,[status(thm)],[c_16364,c_15326]) ).
tcf(c_16463,plain,
! [X0: $i] : join(complement(join(iPr_def_10,composition(X0,top))),complement(join(complement(complement(join(iPr_def_10,composition(X0,top)))),complement(composition(converse(converse(join(iPr_def_10,composition(X0,top)))),top))))) = complement(join(iPr_def_10,composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_16336,c_1431]) ).
tcf(c_16464,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))),complement(composition(converse(X1),complement(composition(X1,composition(converse(X0),complement(composition(X0,iPr_def_10)))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16370,c_349]) ).
tcf(c_16465,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(complement(composition(complement(join(iPr_def_11,X0)),top)),complement(composition(converse(X1),complement(composition(X1,composition(complement(join(iPr_def_11,X0)),top))))))),top)) = join(iPr_def_10,composition(zero,top)),
inference(light_normalisation,[status(thm)],[c_16386,c_16184]) ).
tcf(c_16487,plain,
! [X0: $i] : join(zero,join(complement(join(top,top)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_974,c_1336]) ).
tcf(c_16489,plain,
! [X0: $i] : join(top,join(complement(join(top,top)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_1048,c_7096]) ).
tcf(c_16491,plain,
! [X0: $i] : join(zero,complement(join(top,complement(X0)))) = zero,
inference(light_normalisation,[status(thm)],[c_1472,c_107,c_7096]) ).
tcf(c_16498,plain,
! [X0: $i] : composition(zero,converse(X0)) = zero,
inference(light_normalisation,[status(thm)],[c_1972,c_1950,c_8201]) ).
tcf(c_16505,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(join(iPr_def_11,X0))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13315,c_12610]) ).
tcf(c_16506,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(join(X0,iPr_def_11))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13389,c_12610]) ).
tcf(c_16507,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(join(X0,join(iPr_def_11,X1)))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13365,c_12610]) ).
tcf(c_16508,plain,
join(iPr_def_11,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(composition(top,iPr_def_11))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13387,c_12610]) ).
tcf(c_16509,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,join(composition(complement(join(iPr_def_11,X1)),top),X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16170,c_12610]) ).
tcf(c_16510,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(complement(composition(iPr_def_12,X0)),top)),complement(composition(join(iPr_def_10,complement(composition(iPr_def_12,X0))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16092,c_12610]) ).
tcf(c_16511,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(complement(composition(iPr_def_11,X0)),top)),complement(composition(join(iPr_def_10,complement(composition(iPr_def_11,X0))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16108,c_12610]) ).
tcf(c_16512,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(X0,composition(X1,top)))),complement(composition(join(iPr_def_10,composition(X0,X1)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_52,c_12610]) ).
tcf(c_16513,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,iPr_def_12)),complement(composition(join(iPr_def_10,iPr_def_11),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_116,c_12610]) ).
tcf(c_16514,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,iPr_def_10)),complement(composition(join(iPr_def_10,iPr_def_10),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_193,c_12610]) ).
tcf(c_16515,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),complement(composition(join(iPr_def_10,join(iPr_def_11,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_391,c_12610]) ).
tcf(c_16516,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(composition(join(iPr_def_10,join(iPr_def_10,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_392,c_12610]) ).
tcf(c_16517,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),complement(composition(join(iPr_def_10,join(X0,iPr_def_11)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_402,c_12610]) ).
tcf(c_16518,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(composition(join(iPr_def_10,join(X0,iPr_def_10)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_401,c_12610]) ).
tcf(c_16519,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,top)),complement(composition(join(iPr_def_10,top),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11762,c_12610]) ).
tcf(c_16520,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top)))),complement(composition(join(iPr_def_10,join(iPr_def_10,composition(X0,top))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_12610]) ).
tcf(c_16521,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))),complement(composition(join(iPr_def_10,join(X0,join(iPr_def_10,X1))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9109,c_12610]) ).
tcf(c_16522,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,top)),complement(composition(join(iPr_def_10,one),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_12610]) ).
tcf(c_16523,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,iPr_def_12)),complement(composition(join(iPr_def_10,iPr_def_12),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11779,c_12610]) ).
tcf(c_16524,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(top,composition(X0,top)))),complement(composition(join(iPr_def_10,join(one,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1767,c_12610]) ).
tcf(c_16525,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(top,composition(X0,top)))),complement(composition(join(iPr_def_10,join(X0,one)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1782,c_12610]) ).
tcf(c_16526,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,zero)),complement(composition(join(iPr_def_10,zero),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8217,c_12610]) ).
tcf(c_16527,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),complement(composition(join(iPr_def_10,join(iPr_def_12,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11839,c_12610]) ).
tcf(c_16528,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,iPr_def_10)),complement(composition(join(iPr_def_10,complement(iPr_def_12)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15143,c_12610]) ).
tcf(c_16529,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),complement(composition(join(iPr_def_10,join(X0,iPr_def_12)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11846,c_12610]) ).
tcf(c_16530,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(X0,top),top))),complement(composition(join(iPr_def_10,X0),composition(top,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_12610]) ).
tcf(c_16534,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(iPr_def_10),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_59,c_12610]) ).
tcf(c_16536,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(iPr_def_11,top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_209,c_12610]) ).
tcf(c_16537,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,complement(join(iPr_def_10,X0))),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_375,c_12610]) ).
tcf(c_16538,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(complement(iPr_def_10),X0),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7124,c_12610]) ).
tcf(c_16539,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(iPr_def_11,X0),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7123,c_12610]) ).
tcf(c_16540,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(top,top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7015,c_12610]) ).
tcf(c_16541,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(zero,top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_12610]) ).
tcf(c_16542,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(iPr_def_12,top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11774,c_12610]) ).
tcf(c_16543,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,iPr_def_11),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7122,c_12610]) ).
tcf(c_16544,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(X1,iPr_def_11)),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7305,c_12610]) ).
tcf(c_16545,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(iPr_def_11,X1)),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7698,c_12610]) ).
tcf(c_16546,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2345,c_12610]) ).
tcf(c_16547,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(iPr_def_10,top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7769,c_12610]) ).
tcf(c_16548,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1679,c_12610]) ).
tcf(c_16549,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,iPr_def_11))),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1680,c_12610]) ).
tcf(c_16550,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(iPr_def_12),top))),complement(composition(complement(iPr_def_12),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13163,c_12610]) ).
tcf(c_16551,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,complement(iPr_def_10)),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7426,c_12610]) ).
tcf(c_16552,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_11))),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7700,c_12610]) ).
tcf(c_16553,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_11,X2))),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7830,c_12610]) ).
tcf(c_16554,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(iPr_def_10,X0),top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7878,c_12610]) ).
tcf(c_16555,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8588,c_12610]) ).
tcf(c_16556,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(iPr_def_12,X0),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11838,c_12610]) ).
tcf(c_16557,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(complement(one),iPr_def_10),top))),complement(composition(composition(top,iPr_def_10),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11631,c_12610]) ).
tcf(c_16558,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(top,complement(iPr_def_10)),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11752,c_12610]) ).
tcf(c_16559,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(top,iPr_def_11),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11759,c_12610]) ).
tcf(c_16560,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,iPr_def_12),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11837,c_12610]) ).
tcf(c_16561,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(X0,complement(composition(converse(X0),iPr_def_11))),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11899,c_12610]) ).
tcf(c_16562,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(top,iPr_def_12),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11952,c_12610]) ).
tcf(c_16563,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(composition(top,iPr_def_11),X0),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11990,c_12610]) ).
tcf(c_16564,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(X1,iPr_def_12)),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12163,c_12610]) ).
tcf(c_16565,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(composition(top,iPr_def_12),X0),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12210,c_12610]) ).
tcf(c_16566,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(X1,join(X2,iPr_def_12))),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12476,c_12610]) ).
tcf(c_16567,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(X1,join(iPr_def_12,X2))),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15206,c_12610]) ).
tcf(c_16568,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,join(X1,complement(iPr_def_10))),top))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12833,c_12610]) ).
tcf(c_16569,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(complement(iPr_def_12),X0),top))),complement(composition(join(complement(iPr_def_12),X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13165,c_12610]) ).
tcf(c_16570,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,complement(iPr_def_12)),top))),complement(composition(join(X0,complement(iPr_def_12)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13166,c_12610]) ).
tcf(c_16571,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(join(X0,iPr_def_11)),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13297,c_12610]) ).
tcf(c_16572,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(composition(top,iPr_def_11)),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13295,c_12610]) ).
tcf(c_16573,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13315,c_12610]) ).
tcf(c_16574,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(complement(join(X0,iPr_def_11)),top),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13389,c_12610]) ).
tcf(c_16575,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(complement(join(X0,join(iPr_def_11,X1))),top),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13365,c_12610]) ).
tcf(c_16576,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(complement(composition(top,iPr_def_11)),top),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13387,c_12610]) ).
tcf(c_16577,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top))),complement(composition(join(iPr_def_10,X1),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13393,c_12610]) ).
tcf(c_16578,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(join(X0,composition(complement(join(iPr_def_11,X1)),top)),top))),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13394,c_12610]) ).
tcf(c_16579,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),top))),complement(composition(join(iPr_def_10,composition(X1,top)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16170,c_12610]) ).
tcf(c_16580,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(join(X0,join(X1,iPr_def_11))),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_14735,c_12610]) ).
tcf(c_16581,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(composition(iPr_def_12,X0)),top))),complement(composition(complement(composition(iPr_def_12,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15920,c_12610]) ).
tcf(c_16582,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(composition(iPr_def_11,X0)),top))),complement(composition(complement(composition(iPr_def_11,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15924,c_12610]) ).
tcf(c_16583,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(complement(composition(iPr_def_12,X0)),top),top))),complement(composition(composition(complement(composition(iPr_def_12,X0)),top),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16092,c_12610]) ).
tcf(c_16584,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(composition(complement(composition(iPr_def_11,X0)),top),top))),complement(composition(composition(complement(composition(iPr_def_11,X0)),top),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16108,c_12610]) ).
tcf(c_16585,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(join(complement(iPr_def_10),complement(composition(converse(X0),complement(composition(X0,iPr_def_10)))))),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16269,c_12610]) ).
tcf(c_16587,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12610,c_375]) ).
tcf(c_16592,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(complement(join(iPr_def_11,complement(composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10))))))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_12610,c_363]) ).
tcf(c_16597,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_12610,c_11158]) ).
tcf(c_16599,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12610,c_391]) ).
tcf(c_16606,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,iPr_def_10)),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16547,c_193]) ).
tcf(c_16608,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,top)),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16540,c_11762]) ).
tcf(c_16613,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,iPr_def_10)),complement(composition(complement(iPr_def_12),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16528,c_13163]) ).
tcf(c_16635,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16554,c_392]) ).
tcf(c_16638,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_16587,c_50,c_49]) ).
tcf(c_16639,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_16638,c_1671]) ).
tcf(c_16640,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_16639,c_50,c_49]) ).
tcf(c_16644,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_12,composition(join(X0,X1),top)))),complement(composition(top,composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16568,c_192,c_10227]) ).
tcf(c_16646,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_16599,c_116]) ).
tcf(c_16647,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(complement(composition(iPr_def_11,X0)),top)),complement(composition(complement(composition(iPr_def_11,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16582,c_16108]) ).
tcf(c_16648,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(complement(composition(iPr_def_12,X0)),top)),complement(composition(complement(composition(iPr_def_12,X0)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16581,c_16092]) ).
tcf(c_16649,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(composition(join(X0,complement(iPr_def_12)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16570,c_15263]) ).
tcf(c_16650,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(composition(join(complement(iPr_def_12),X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16569,c_15251]) ).
tcf(c_16661,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_16597,c_50,c_49]) ).
tcf(c_16665,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(composition(complement(composition(iPr_def_11,X0)),top),top)),complement(composition(composition(complement(composition(iPr_def_11,X0)),top),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16584,c_16142]) ).
tcf(c_16666,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(composition(complement(composition(iPr_def_12,X0)),top),top)),complement(composition(composition(complement(composition(iPr_def_12,X0)),top),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16583,c_16123]) ).
tcf(c_16667,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))),complement(composition(join(X0,join(iPr_def_10,X1)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16521,c_3871]) ).
tcf(c_16668,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),complement(composition(join(iPr_def_10,join(iPr_def_10,composition(X0,top))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16520,c_392,c_11762]) ).
tcf(c_16669,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10))))))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_16592,c_1671]) ).
tcf(c_16670,plain,
join(iPr_def_11,composition(converse(join(iPr_def_10,composition(complement(join(iPr_def_11,top)),top))),complement(composition(iPr_def_10,composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16585,c_192,c_12704]) ).
tcf(c_16671,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(join(iPr_def_10,composition(X0,top)),top)),complement(composition(join(iPr_def_10,composition(X0,top)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16579,c_16240]) ).
tcf(c_16679,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_59,c_361]) ).
tcf(c_16680,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_76,c_361]) ).
tcf(c_16681,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_191,c_361]) ).
tcf(c_16682,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_350,c_361]) ).
tcf(c_16683,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_351,c_361]) ).
tcf(c_16684,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_375,c_361]) ).
tcf(c_16685,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_7124,c_361]) ).
tcf(c_16687,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_10,X0)),join(complement(join(complement(join(iPr_def_11,X1)),complement(join(complement(join(iPr_def_11,complement(X1))),X0)))),X2)) = join(join(iPr_def_11,X1),X2),
inference(superposition,[status(thm)],[c_363,c_361]) ).
tcf(c_16688,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(complement(X0),complement(top))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_7015,c_361]) ).
tcf(c_16689,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_1429,c_361]) ).
tcf(c_16690,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(top,X0))),join(complement(join(complement(composition(top,X0)),complement(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0)))))),X1)) = join(composition(top,X0),X1),
inference(superposition,[status(thm)],[c_428,c_361]) ).
tcf(c_16691,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_2345,c_361]) ).
tcf(c_16692,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_7769,c_361]) ).
tcf(c_16693,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_1782,c_361]) ).
tcf(c_16694,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_1767,c_361]) ).
tcf(c_16695,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_7426,c_361]) ).
tcf(c_16696,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_7878,c_361]) ).
tcf(c_16697,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_8543,c_361]) ).
tcf(c_16698,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_9621,c_361]) ).
tcf(c_16699,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,complement(X0))),join(complement(join(complement(X0),complement(composition(complement(one),complement(X0))))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_11631,c_361]) ).
tcf(c_16700,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(complement(X0),complement(composition(top,complement(complement(X0)))))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_11752,c_361]) ).
tcf(c_16701,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_12833,c_361]) ).
tcf(c_16702,plain,
! [X0: $i] : join(complement(top),join(complement(join(complement(iPr_def_12),complement(composition(top,iPr_def_11)))),X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_13731,c_361]) ).
tcf(c_16703,plain,
! [X0: $i,X1: $i] : join(complement(complement(iPr_def_12)),join(complement(join(complement(iPr_def_12),complement(composition(complement(join(iPr_def_11,X0)),top)))),X1)) = join(iPr_def_12,X1),
inference(superposition,[status(thm)],[c_13916,c_361]) ).
tcf(c_16704,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(complement(X0),complement(composition(top,X0)))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_14135,c_361]) ).
tcf(c_16705,plain,
! [X0: $i,X1: $i] : join(complement(top),join(complement(join(complement(iPr_def_12),complement(join(composition(top,iPr_def_11),X0)))),X1)) = join(iPr_def_12,X1),
inference(superposition,[status(thm)],[c_15739,c_361]) ).
tcf(c_16706,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(join(complement(complement(X0)),complement(composition(converse(X1),complement(composition(X1,complement(X0)))))))))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_16269,c_361]) ).
tcf(c_16715,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_59,c_361]) ).
tcf(c_16716,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_76,c_361]) ).
tcf(c_16717,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_191,c_361]) ).
tcf(c_16718,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_350,c_361]) ).
tcf(c_16719,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_375,c_361]) ).
tcf(c_16720,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_7124,c_361]) ).
tcf(c_16722,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),top) = join(X0,top),
inference(superposition,[status(thm)],[c_7015,c_361]) ).
tcf(c_16723,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_1429,c_361]) ).
tcf(c_16724,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_2345,c_361]) ).
tcf(c_16725,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_7769,c_361]) ).
tcf(c_16726,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_1782,c_361]) ).
tcf(c_16727,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_1767,c_361]) ).
tcf(c_16728,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_7426,c_361]) ).
tcf(c_16729,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_7878,c_361]) ).
tcf(c_16730,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),composition(top,complement(join(complement(X0),complement(X1))))) = join(X0,composition(complement(one),complement(join(complement(X0),complement(X1))))),
inference(superposition,[status(thm)],[c_11631,c_361]) ).
tcf(c_16731,plain,
! [X0: $i,X1: $i] : join(X0,composition(top,complement(complement(join(complement(X0),complement(X1)))))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[status(thm)],[c_11752,c_361]) ).
tcf(c_16732,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_12833,c_361]) ).
tcf(c_16733,plain,
! [X0: $i,X1: $i] : join(X0,composition(top,join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[status(thm)],[c_14135,c_361]) ).
tcf(c_16734,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,complement(join(complement(complement(join(complement(X0),complement(X1)))),complement(composition(converse(X2),complement(composition(X2,complement(join(complement(X0),complement(X1)))))))))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(superposition,[status(thm)],[c_16269,c_361]) ).
tcf(c_16737,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_59,c_361]) ).
tcf(c_16738,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X0)),join(complement(complement(X0)),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_7769,c_361]) ).
tcf(c_16739,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(iPr_def_11,X0)),join(iPr_def_11,complement(join(iPr_def_11,X0))))),join(complement(iPr_def_10),X1)) = join(join(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_8543,c_361]) ).
tcf(c_16740,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X1),complement(composition(X1,complement(X0)))))))),join(complement(complement(X0)),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_16269,c_361]) ).
tcf(c_16741,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_7732,c_361]) ).
tcf(c_16744,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_1671,c_361]) ).
tcf(c_16745,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_1431,c_361]) ).
tcf(c_16746,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_7732,c_361]) ).
tcf(c_16749,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_1671,c_361]) ).
tcf(c_16750,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_1431,c_361]) ).
tcf(c_16751,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(X0,X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_361,c_7878]) ).
tcf(c_16752,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_361,c_375]) ).
tcf(c_16755,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_361,c_361]) ).
tcf(c_16757,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_361,c_191]) ).
tcf(c_16758,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_361,c_375]) ).
tcf(c_16759,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_361,c_361]) ).
tcf(c_16763,plain,
! [X0: $i,X1: $i] : join(X0,complement(complement(join(complement(X0),X1)))) = top,
inference(superposition,[status(thm)],[c_361,c_7426]) ).
tcf(c_16771,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(complement(join(complement(X0),X2))))) = top,
inference(superposition,[status(thm)],[c_361,c_12833]) ).
tcf(c_16774,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),X1))) = join(X0,top),
inference(theory_normalisation,[status(thm)],[c_16722,c_50,c_49]) ).
tcf(c_16775,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),X1))) = top,
inference(light_normalisation,[status(thm)],[c_16774,c_7015]) ).
tcf(c_16776,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_16751,c_50,c_49]) ).
tcf(c_16777,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_16738,c_50,c_49]) ).
tcf(c_16779,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_16737,c_50,c_49]) ).
tcf(c_16780,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(join(complement(X1),complement(X1))))) = join(X1,X0),
inference(light_normalisation,[status(thm)],[c_16779,c_107]) ).
tcf(c_16781,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(complement(X0),zero)),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_16688,c_107]) ).
tcf(c_16782,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(zero,complement(X0))),X1)) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_16781,c_50,c_49]) ).
tcf(c_16783,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(top,complement(X0))),X1)) = join(zero,X1),
inference(light_normalisation,[status(thm)],[c_16745,c_107,c_7096]) ).
tcf(c_16785,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(complement(X0),top)),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_16689,c_1431,c_7732]) ).
tcf(c_16786,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(top,complement(X0))),X1)) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_16785,c_50,c_49]) ).
tcf(c_16787,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_16750,c_50,c_49]) ).
tcf(c_16788,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_16749,c_50,c_49]) ).
tcf(c_16791,plain,
! [X0: $i,X1: $i] : join(X0,composition(top,join(complement(X0),complement(X1)))) = join(top,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_16733,c_50,c_49]) ).
tcf(c_16792,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_16715,c_50,c_49]) ).
tcf(c_16793,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(complement(X0),complement(composition(top,X0)))),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_16704,c_107]) ).
tcf(c_16794,plain,
! [X0: $i] : join(zero,join(complement(join(complement(iPr_def_12),complement(composition(top,iPr_def_11)))),X0)) = join(iPr_def_12,X0),
inference(light_normalisation,[status(thm)],[c_16702,c_107]) ).
tcf(c_16795,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(complement(X0),X0)),X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_16692,c_7732]) ).
tcf(c_16796,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(X0,complement(X0))),X1)) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_16795,c_50,c_49]) ).
tcf(c_16799,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_16746,c_50,c_49]) ).
tcf(c_16800,plain,
! [X0: $i,X1: $i] : join(X0,composition(top,complement(complement(join(complement(X0),complement(X1)))))) = join(top,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_16731,c_50,c_49]) ).
tcf(c_16801,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_16728,c_50,c_49]) ).
tcf(c_16802,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_16724,c_50,c_49]) ).
tcf(c_16803,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_16720,c_50,c_49]) ).
tcf(c_16804,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(complement(iPr_def_12),complement(join(composition(top,iPr_def_11),X0)))),X1)) = join(iPr_def_12,X1),
inference(light_normalisation,[status(thm)],[c_16705,c_107]) ).
tcf(c_16806,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(complement(join(complement(X0),complement(join(X1,X0)))),X2)) = join(X0,X2),
inference(light_normalisation,[status(thm)],[c_16695,c_107,c_7732]) ).
tcf(c_16807,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_16691,c_107]) ).
tcf(c_16808,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(complement(join(complement(X0),complement(join(X0,X1)))),X2)) = join(X0,X2),
inference(light_normalisation,[status(thm)],[c_16685,c_107,c_7732]) ).
tcf(c_16809,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_16759,c_50,c_49]) ).
tcf(c_16810,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_16752,c_50,c_49]) ).
tcf(c_16811,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_16732,c_50,c_49]) ).
tcf(c_16813,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_16719,c_50,c_49]) ).
tcf(c_16814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(zero,join(complement(join(complement(X0),complement(join(X1,join(X2,X0))))),X3)) = join(X0,X3),
inference(light_normalisation,[status(thm)],[c_16701,c_107,c_7732]) ).
tcf(c_16815,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_16684,c_107]) ).
tcf(c_16819,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(X0,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_11,X1))))))) = join(iPr_def_11,join(X1,X0)),
inference(theory_normalisation,[status(thm)],[c_16739,c_50,c_49]) ).
tcf(c_16820,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_11,X1))))))) = join(iPr_def_11,join(X1,X0)),
inference(light_normalisation,[status(thm)],[c_16819,c_192]) ).
tcf(c_16821,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_16729,c_361]) ).
tcf(c_16822,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_16697,c_50,c_49]) ).
tcf(c_16823,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(complement(join(iPr_def_11,X0)),complement(complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))),X1)) = join(iPr_def_11,join(X0,X1)),
inference(light_normalisation,[status(thm)],[c_16822,c_192]) ).
tcf(c_16824,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(X0)),join(X1,complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X2),complement(composition(X2,complement(X0)))))))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_16740,c_50,c_49]) ).
tcf(c_16825,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(complement(X0),join(X0,complement(composition(converse(X2),complement(composition(X2,complement(X0)))))))))) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_16824,c_7732]) ).
tcf(c_16826,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,complement(join(X0,join(complement(X0),complement(composition(converse(X2),complement(composition(X2,complement(X0)))))))))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_16825,c_50,c_49]) ).
tcf(c_16827,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_10,X0)),join(complement(join(complement(join(iPr_def_11,X1)),complement(join(complement(join(iPr_def_11,complement(X1))),X0)))),X2)) = join(iPr_def_11,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_16687,c_50,c_49]) ).
tcf(c_16828,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(join(complement(X0),complement(complement(join(X0,complement(composition(converse(X1),complement(composition(X1,complement(X0)))))))))),X2)) = join(X0,X2),
inference(light_normalisation,[status(thm)],[c_16706,c_7732]) ).
tcf(c_16829,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_16755,c_50,c_49]) ).
tcf(c_16831,plain,
! [X0: $i,X1: $i] : join(complement(complement(X0)),X1) = join(X0,X1),
inference(demodulation,[status(thm)],[c_361,c_16741]) ).
tcf(c_16832,plain,
! [X0: $i] : join(complement(iPr_def_11),X0) = join(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_363,c_16741]) ).
tcf(c_16856,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),iPr_def_11) = composition(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_1922,c_1336]) ).
tcf(c_16858,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_11) = composition(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_16856]) ).
tcf(c_16861,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,X0)),iPr_def_11) = composition(converse(X0),iPr_def_11),
inference(superposition,[status(thm)],[c_56,c_16856]) ).
tcf(c_16862,plain,
composition(complement(converse(iPr_def_10)),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_16856]) ).
tcf(c_16863,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_10),X1)),iPr_def_11) = composition(join(X0,X1),iPr_def_11),
inference(superposition,[status(thm)],[c_191,c_16856]) ).
tcf(c_16864,plain,
! [X0: $i] : composition(join(X0,complement(join(converse(iPr_def_10),X0))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_375,c_16856]) ).
tcf(c_16865,plain,
! [X0: $i] : composition(join(complement(converse(iPr_def_10)),X0),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_7124,c_16856]) ).
tcf(c_16866,plain,
composition(converse(iPr_def_10),iPr_def_11) = composition(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_1429,c_16856]) ).
tcf(c_16867,plain,
composition(converse(complement(converse(converse(iPr_def_10)))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_2345,c_16856]) ).
tcf(c_16868,plain,
! [X0: $i] : composition(composition(join(X0,one),converse(iPr_def_10)),iPr_def_11) = composition(composition(X0,converse(iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_1782,c_16856]) ).
tcf(c_16869,plain,
! [X0: $i] : composition(composition(join(one,X0),converse(iPr_def_10)),iPr_def_11) = composition(composition(X0,converse(iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_1767,c_16856]) ).
tcf(c_16870,plain,
! [X0: $i] : composition(join(X0,complement(converse(iPr_def_10))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_7426,c_16856]) ).
tcf(c_16871,plain,
composition(composition(complement(one),converse(iPr_def_10)),iPr_def_11) = composition(composition(top,converse(iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_11631,c_16856]) ).
tcf(c_16872,plain,
composition(composition(top,complement(converse(iPr_def_10))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_11752,c_16856]) ).
tcf(c_16873,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(converse(iPr_def_10)))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_12833,c_16856]) ).
tcf(c_16874,plain,
! [X0: $i] : composition(complement(join(complement(converse(iPr_def_10)),complement(composition(converse(X0),complement(composition(X0,converse(iPr_def_10))))))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_16269,c_16856]) ).
tcf(c_16875,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_11)),complement(composition(join(converse(iPr_def_10),X0),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16856,c_433]) ).
tcf(c_16876,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(iPr_def_10),X0),X1),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_16856,c_54]) ).
tcf(c_16877,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),X0),composition(iPr_def_11,X1)) = composition(composition(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_16856,c_52]) ).
tcf(c_16878,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_10),X1)),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_16856,c_54]) ).
tcf(c_16879,plain,
! [X0: $i] : join(iPr_def_11,complement(join(complement(iPr_def_11),complement(composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_11))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16856,c_16269]) ).
tcf(c_16880,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16856,c_76]) ).
tcf(c_16881,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(converse(iPr_def_10),X0)),composition(complement(composition(X0,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16856,c_1679]) ).
tcf(c_16882,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16856,c_1680]) ).
tcf(c_16883,plain,
join(iPr_def_11,composition(converse(iPr_def_10),iPr_def_11)) = composition(one,iPr_def_11),
inference(superposition,[status(thm)],[c_16856,c_1782]) ).
tcf(c_16885,plain,
join(iPr_def_11,zero) = composition(one,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_16883,c_1360]) ).
tcf(c_16887,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),join(X0,X1)),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_16876,c_50,c_49]) ).
tcf(c_16888,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_11))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16879,c_1671]) ).
tcf(c_16889,plain,
! [X0: $i] : composition(complement(join(complement(converse(iPr_def_10)),complement(composition(converse(X0),complement(composition(X0,converse(iPr_def_10))))))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_16874,c_1360]) ).
tcf(c_16890,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(complement(converse(iPr_def_10)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16862,c_433]) ).
tcf(c_16891,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_11)) = composition(join(complement(converse(iPr_def_10)),X0),iPr_def_11),
inference(superposition,[status(thm)],[c_16862,c_54]) ).
tcf(c_16892,plain,
! [X0: $i] : composition(complement(converse(iPr_def_10)),composition(iPr_def_11,X0)) = composition(composition(top,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_16862,c_52]) ).
tcf(c_16893,plain,
! [X0: $i] : join(composition(X0,iPr_def_11),composition(top,iPr_def_11)) = composition(join(X0,complement(converse(iPr_def_10))),iPr_def_11),
inference(superposition,[status(thm)],[c_16862,c_54]) ).
tcf(c_16894,plain,
join(iPr_def_11,complement(join(complement(iPr_def_11),complement(composition(converse(complement(converse(iPr_def_10))),complement(composition(top,iPr_def_11))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16862,c_16269]) ).
tcf(c_16895,plain,
join(complement(iPr_def_11),composition(converse(complement(converse(iPr_def_10))),complement(composition(top,iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16862,c_76]) ).
tcf(c_16896,plain,
join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),composition(complement(composition(top,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16862,c_1679]) ).
tcf(c_16897,plain,
join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),complement(composition(top,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16862,c_1680]) ).
tcf(c_16899,plain,
! [X0: $i] : join(composition(X0,iPr_def_11),composition(top,iPr_def_11)) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_16893,c_16870]) ).
tcf(c_16900,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_11)) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_16891,c_16865]) ).
tcf(c_16901,plain,
join(iPr_def_11,complement(join(iPr_def_10,complement(composition(converse(complement(converse(iPr_def_10))),complement(composition(top,iPr_def_11))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16894,c_1671]) ).
tcf(c_16907,plain,
! [X0: $i,X1: $i] : composition(top,converse(composition(X0,X1))) = converse(composition(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_52,c_2354]) ).
tcf(c_16908,plain,
composition(top,converse(iPr_def_11)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_116,c_2354]) ).
tcf(c_16909,plain,
composition(top,converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_2354]) ).
tcf(c_16910,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_11,X0))) = converse(join(iPr_def_12,composition(X0,top))),
inference(superposition,[status(thm)],[c_391,c_2354]) ).
tcf(c_16911,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,X0))) = converse(join(iPr_def_10,composition(X0,top))),
inference(superposition,[status(thm)],[c_392,c_2354]) ).
tcf(c_16912,plain,
! [X0: $i] : composition(top,converse(join(X0,iPr_def_11))) = converse(join(iPr_def_12,composition(X0,top))),
inference(superposition,[status(thm)],[c_402,c_2354]) ).
tcf(c_16913,plain,
! [X0: $i] : composition(top,converse(join(X0,iPr_def_10))) = converse(join(iPr_def_10,composition(X0,top))),
inference(superposition,[status(thm)],[c_401,c_2354]) ).
tcf(c_16914,plain,
composition(top,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_11762,c_2354]) ).
tcf(c_16915,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,composition(X0,top)))) = converse(composition(join(iPr_def_10,X0),composition(top,top))),
inference(superposition,[status(thm)],[c_445,c_2354]) ).
tcf(c_16916,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(X0,join(iPr_def_10,X1)))) = converse(join(iPr_def_10,composition(join(X0,X1),top))),
inference(superposition,[status(thm)],[c_9109,c_2354]) ).
tcf(c_16917,plain,
composition(top,converse(one)) = converse(top),
inference(superposition,[status(thm)],[c_1708,c_2354]) ).
tcf(c_16918,plain,
composition(top,converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_11779,c_2354]) ).
tcf(c_16919,plain,
! [X0: $i] : composition(top,converse(join(one,X0))) = converse(join(top,composition(X0,top))),
inference(superposition,[status(thm)],[c_1767,c_2354]) ).
tcf(c_16920,plain,
! [X0: $i] : composition(top,converse(join(X0,one))) = converse(join(top,composition(X0,top))),
inference(superposition,[status(thm)],[c_1782,c_2354]) ).
tcf(c_16921,plain,
composition(top,converse(zero)) = converse(zero),
inference(superposition,[status(thm)],[c_8217,c_2354]) ).
tcf(c_16922,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_12,X0))) = converse(join(iPr_def_12,composition(X0,top))),
inference(superposition,[status(thm)],[c_11839,c_2354]) ).
tcf(c_16923,plain,
composition(top,converse(complement(iPr_def_12))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_2354]) ).
tcf(c_16924,plain,
! [X0: $i] : composition(top,converse(join(X0,iPr_def_12))) = converse(join(iPr_def_12,composition(X0,top))),
inference(superposition,[status(thm)],[c_11846,c_2354]) ).
tcf(c_16925,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(composition(X0,top),converse(X1)),complement(composition(join(composition(top,converse(X0)),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2354,c_776]) ).
tcf(c_16926,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(X0,top),complement(composition(composition(top,converse(X0)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2354,c_11899]) ).
tcf(c_16927,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(top,converse(X0)),composition(top,complement(composition(top,composition(composition(X0,top),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2354,c_14347]) ).
tcf(c_16928,plain,
! [X0: $i] : join(complement(one),composition(composition(X0,top),complement(composition(top,converse(X0))))) = complement(one),
inference(superposition,[status(thm)],[c_2354,c_9621]) ).
tcf(c_16929,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(composition(top,converse(X0)),complement(composition(composition(X0,top),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_2354,c_434]) ).
tcf(c_16930,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(top,converse(X0)),composition(complement(composition(composition(X0,top),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2354,c_1679]) ).
tcf(c_16931,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_2354,c_1680]) ).
tcf(c_16932,plain,
! [X0: $i] : join(composition(X0,top),converse(complement(composition(top,converse(X0))))) = top,
inference(superposition,[status(thm)],[c_2354,c_2345]) ).
tcf(c_16933,plain,
! [X0: $i] : join(complement(one),composition(composition(top,converse(X0)),complement(composition(X0,top)))) = complement(one),
inference(superposition,[status(thm)],[c_2354,c_351]) ).
tcf(c_16934,plain,
! [X0: $i] : composition(composition(X0,top),complement(composition(composition(top,converse(X0)),top))) = zero,
inference(superposition,[status(thm)],[c_2354,c_9546]) ).
tcf(c_16935,plain,
! [X0: $i] : composition(composition(top,converse(X0)),complement(composition(composition(X0,top),top))) = zero,
inference(superposition,[status(thm)],[c_2354,c_9545]) ).
tcf(c_16936,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(X0)),X1)) = join(converse(X1),composition(X0,top)),
inference(superposition,[status(thm)],[c_2354,c_985]) ).
tcf(c_16937,plain,
! [X0: $i,X1: $i] : converse(composition(composition(top,converse(X0)),X1)) = composition(converse(X1),composition(X0,top)),
inference(superposition,[status(thm)],[c_2354,c_226]) ).
tcf(c_16938,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(X0)),X1)) = join(composition(X0,top),converse(X1)),
inference(superposition,[status(thm)],[c_2354,c_221]) ).
tcf(c_16939,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_2354,c_432]) ).
tcf(c_16940,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_2354,c_349]) ).
tcf(c_16941,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(X0)),converse(X1)) = converse(composition(X1,composition(X0,top))),
inference(superposition,[status(thm)],[c_2354,c_57]) ).
tcf(c_16942,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(X0)),converse(X1)) = converse(join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_2354,c_56]) ).
tcf(c_16943,plain,
! [X0: $i] : converse(composition(top,converse(X0))) = composition(X0,top),
inference(superposition,[status(thm)],[c_2354,c_55]) ).
tcf(c_16944,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(composition(composition(top,converse(X1)),complement(composition(composition(X1,top),X0))))))) = X0,
inference(superposition,[status(thm)],[c_2354,c_16269]) ).
tcf(c_16945,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_2354,c_350]) ).
tcf(c_16946,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,composition(top,converse(X1))),complement(composition(join(converse(X0),composition(X1,top)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2354,c_776]) ).
tcf(c_16947,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(composition(top,converse(X1)),complement(composition(composition(X1,top),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_2354,c_9023]) ).
tcf(c_16948,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(X1)))) = join(composition(X1,top),converse(X0)),
inference(superposition,[status(thm)],[c_2354,c_765]) ).
tcf(c_16949,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(top,converse(X1)))) = composition(composition(X1,top),converse(X0)),
inference(superposition,[status(thm)],[c_2354,c_225]) ).
tcf(c_16950,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(X1)))) = join(converse(X0),composition(X1,top)),
inference(superposition,[status(thm)],[c_2354,c_222]) ).
tcf(c_16951,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_2354,c_76]) ).
tcf(c_16952,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(top,converse(X1))) = converse(composition(composition(X1,top),X0)),
inference(superposition,[status(thm)],[c_2354,c_57]) ).
tcf(c_16953,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(top,converse(X1))) = converse(join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_2354,c_56]) ).
tcf(c_16954,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(top,converse(X0)),complement(composition(X0,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2354,c_433]) ).
tcf(c_16955,plain,
! [X0: $i] : composition(top,converse(converse(X0))) = composition(converse(top),X0),
inference(superposition,[status(thm)],[c_2354,c_226]) ).
tcf(c_16956,plain,
composition(converse(top),top) = composition(top,converse(top)),
inference(superposition,[status(thm)],[c_2354,c_2357]) ).
tcf(c_16957,plain,
composition(composition(top,converse(iPr_def_11)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_2354,c_13261]) ).
tcf(c_16958,plain,
composition(composition(top,converse(iPr_def_10)),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_2354,c_12931]) ).
tcf(c_16959,plain,
composition(composition(top,converse(iPr_def_10)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_2354,c_8938]) ).
tcf(c_16960,plain,
composition(composition(top,converse(iPr_def_12)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_2354,c_8919]) ).
tcf(c_16962,plain,
composition(top,one) = top,
inference(light_normalisation,[status(thm)],[c_16917,c_1689,c_2343]) ).
tcf(c_16966,plain,
! [X0: $i] : composition(top,join(one,converse(X0))) = converse(join(top,composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_16920,c_1729]) ).
tcf(c_16968,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,composition(X0,top)))) = converse(join(iPr_def_10,composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_16915,c_392,c_11762]) ).
tcf(c_16970,plain,
! [X0: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),complement(join(iPr_def_10,composition(X0,top)))) = zero,
inference(demodulation,[status(thm)],[c_12982,c_16911]) ).
tcf(c_16987,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),complement(composition(top,composition(converse(iPr_def_11),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16908,c_433]) ).
tcf(c_16988,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_16908,c_54]) ).
tcf(c_16989,plain,
! [X0: $i] : composition(top,composition(converse(iPr_def_11),X0)) = composition(converse(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_16908,c_52]) ).
tcf(c_16990,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_16908,c_54]) ).
tcf(c_16991,plain,
join(converse(iPr_def_11),complement(join(complement(converse(iPr_def_11)),complement(composition(converse(top),complement(converse(iPr_def_12))))))) = converse(iPr_def_11),
inference(superposition,[status(thm)],[c_16908,c_16269]) ).
tcf(c_16993,plain,
composition(join(one,top),converse(iPr_def_11)) = join(converse(iPr_def_11),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16908,c_1767]) ).
tcf(c_16994,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_16908,c_76]) ).
tcf(c_16995,plain,
composition(iPr_def_11,converse(top)) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16908,c_225]) ).
tcf(c_16996,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_16908,c_428]) ).
tcf(c_16997,plain,
join(complement(converse(iPr_def_11)),converse(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_16908,c_14135]) ).
tcf(c_16998,plain,
composition(complement(iPr_def_12),converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_16908,c_15252]) ).
tcf(c_16999,plain,
composition(iPr_def_12,converse(iPr_def_11)) = composition(iPr_def_12,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16908,c_11840]) ).
tcf(c_17000,plain,
composition(converse(converse(iPr_def_11)),top) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16908,c_2357]) ).
tcf(c_17001,plain,
composition(iPr_def_11,converse(iPr_def_12)) = composition(iPr_def_12,converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_16908,c_382]) ).
tcf(c_17002,plain,
composition(iPr_def_10,converse(iPr_def_11)) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16908,c_383]) ).
tcf(c_17003,plain,
join(converse(iPr_def_12),complement(converse(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_16997,c_50,c_49]) ).
tcf(c_17004,plain,
converse(converse(iPr_def_12)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_16995,c_116,c_2343]) ).
tcf(c_17005,plain,
composition(join(top,one),converse(iPr_def_11)) = join(converse(iPr_def_11),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_16993,c_50,c_49]) ).
tcf(c_17006,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_16994,c_2343]) ).
tcf(c_17007,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_16990,c_50,c_49]) ).
tcf(c_17008,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_17007,c_7015,c_16908]) ).
tcf(c_17010,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),complement(composition(top,zero)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_16987,c_3196]) ).
tcf(c_17011,plain,
join(converse(iPr_def_11),complement(join(complement(converse(iPr_def_11)),complement(composition(top,complement(converse(iPr_def_12))))))) = converse(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_16991,c_2343]) ).
tcf(c_17012,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(top,composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16909,c_433]) ).
tcf(c_17013,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_16909,c_54]) ).
tcf(c_17014,plain,
! [X0: $i] : composition(top,composition(converse(iPr_def_10),X0)) = composition(converse(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_16909,c_52]) ).
tcf(c_17015,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_16909,c_54]) ).
tcf(c_17016,plain,
join(converse(iPr_def_10),complement(join(complement(converse(iPr_def_10)),complement(composition(converse(top),complement(converse(iPr_def_10))))))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16909,c_16269]) ).
tcf(c_17018,plain,
composition(join(one,top),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_1767]) ).
tcf(c_17019,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_16909,c_76]) ).
tcf(c_17020,plain,
composition(iPr_def_10,converse(top)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_225]) ).
tcf(c_17021,plain,
join(complement(converse(iPr_def_10)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_428]) ).
tcf(c_17022,plain,
join(complement(converse(iPr_def_10)),converse(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_16909,c_14135]) ).
tcf(c_17023,plain,
composition(complement(iPr_def_12),converse(iPr_def_10)) = composition(iPr_def_10,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_15252]) ).
tcf(c_17024,plain,
composition(converse(converse(iPr_def_10)),top) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_2357]) ).
tcf(c_17025,plain,
composition(iPr_def_11,converse(iPr_def_10)) = composition(iPr_def_12,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_382]) ).
tcf(c_17026,plain,
join(converse(iPr_def_10),complement(converse(iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_17022,c_50,c_49]) ).
tcf(c_17027,plain,
converse(converse(iPr_def_10)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_17020,c_193,c_2343]) ).
tcf(c_17028,plain,
composition(join(top,one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_17018,c_50,c_49]) ).
tcf(c_17029,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_17019,c_2343]) ).
tcf(c_17030,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_17015,c_50,c_49]) ).
tcf(c_17031,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_17030,c_7015,c_16909]) ).
tcf(c_17033,plain,
join(converse(iPr_def_10),complement(join(complement(converse(iPr_def_10)),complement(composition(top,complement(converse(iPr_def_10))))))) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_17016,c_2343]) ).
tcf(c_17036,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,X1)) = join(iPr_def_11,join(X1,X0)),
inference(demodulation,[status(thm)],[c_16820,c_6405,c_10587,c_10605]) ).
tcf(c_17038,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,converse(iPr_def_11))),complement(composition(iPr_def_10,composition(converse(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17002,c_433]) ).
tcf(c_17039,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_17002,c_54]) ).
tcf(c_17040,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_17002,c_52]) ).
tcf(c_17041,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_17002,c_54]) ).
tcf(c_17042,plain,
join(converse(iPr_def_12),complement(join(complement(converse(iPr_def_12)),complement(composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_11)))))))) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_17002,c_16269]) ).
tcf(c_17044,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_17002,c_1767]) ).
tcf(c_17046,plain,
converse(composition(iPr_def_10,converse(iPr_def_11))) = composition(iPr_def_12,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17002,c_225]) ).
tcf(c_17047,plain,
join(complement(composition(top,converse(iPr_def_12))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_11))))) = complement(composition(top,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_17002,c_428]) ).
tcf(c_17048,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_11))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_17002,c_12931]) ).
tcf(c_17049,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_11))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_17002,c_8938]) ).
tcf(c_17050,plain,
composition(converse(iPr_def_11),composition(iPr_def_10,converse(iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_17002,c_8221]) ).
tcf(c_17051,plain,
composition(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_17002,c_8927]) ).
tcf(c_17052,plain,
converse(composition(iPr_def_10,converse(iPr_def_11))) = composition(iPr_def_11,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_17046,c_17025]) ).
tcf(c_17053,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_17044,c_50,c_49]) ).
tcf(c_17054,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,converse(iPr_def_11))),complement(composition(iPr_def_10,zero)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_17038,c_7459]) ).
tcf(c_17060,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_7732,c_362]) ).
tcf(c_17061,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(converse(X0),complement(composition(X0,top))),X1)) = join(zero,X1),
inference(superposition,[status(thm)],[c_107,c_362]) ).
tcf(c_17064,plain,
! [X0: $i,X1: $i] : join(top,join(composition(converse(X0),complement(composition(X0,zero))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_1431,c_362]) ).
tcf(c_17065,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_49,c_362]) ).
tcf(c_17068,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_54,c_362]) ).
tcf(c_17069,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_59,c_362]) ).
tcf(c_17070,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_191,c_362]) ).
tcf(c_17071,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_375,c_362]) ).
tcf(c_17072,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_7124,c_362]) ).
tcf(c_17073,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = join(complement(X0),zero),
inference(superposition,[status(thm)],[c_1429,c_362]) ).
tcf(c_17074,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_2345,c_362]) ).
tcf(c_17075,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_1782,c_362]) ).
tcf(c_17076,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_1767,c_362]) ).
tcf(c_17077,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_7426,c_362]) ).
tcf(c_17078,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(complement(one),composition(converse(X1),complement(composition(X1,X0))))) = join(complement(X0),composition(top,composition(converse(X1),complement(composition(X1,X0))))),
inference(superposition,[status(thm)],[c_11631,c_362]) ).
tcf(c_17079,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(converse(X1),complement(composition(X1,X0)))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_11752,c_362]) ).
tcf(c_17080,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_12833,c_362]) ).
tcf(c_17081,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),complement(join(complement(composition(converse(X1),complement(composition(X1,X0)))),complement(composition(converse(X2),complement(composition(X2,composition(converse(X1),complement(composition(X1,X0)))))))))) = join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))),
inference(superposition,[status(thm)],[c_16269,c_362]) ).
tcf(c_17082,plain,
! [X0: $i] : join(complement(top),join(zero,X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_9545,c_362]) ).
tcf(c_17084,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_985,c_362]) ).
tcf(c_17085,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_221,c_362]) ).
tcf(c_17086,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_765,c_362]) ).
tcf(c_17087,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_222,c_362]) ).
tcf(c_17088,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_225,c_362]) ).
tcf(c_17089,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_226,c_362]) ).
tcf(c_17090,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_2343,c_362]) ).
tcf(c_17091,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_1950,c_362]) ).
tcf(c_17092,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_1689,c_362]) ).
tcf(c_17093,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_1723,c_362]) ).
tcf(c_17094,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_1729,c_362]) ).
tcf(c_17095,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_2357,c_362]) ).
tcf(c_17096,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_2354,c_362]) ).
tcf(c_17097,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_52,c_362]) ).
tcf(c_17099,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_57,c_362]) ).
tcf(c_17100,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_116,c_362]) ).
tcf(c_17101,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_193,c_362]) ).
tcf(c_17102,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_9545,c_362]) ).
tcf(c_17103,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_1359,c_362]) ).
tcf(c_17104,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_1360,c_362]) ).
tcf(c_17105,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_382,c_362]) ).
tcf(c_17107,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(iPr_def_11,X0)),complement(join(iPr_def_12,composition(X0,top)))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_391,c_362]) ).
tcf(c_17108,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(X0,top)))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_392,c_362]) ).
tcf(c_17109,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(X0,iPr_def_11)),complement(join(iPr_def_12,composition(X0,top)))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_402,c_362]) ).
tcf(c_17110,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(X0,iPr_def_10)),complement(join(iPr_def_10,composition(X0,top)))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_401,c_362]) ).
tcf(c_17111,plain,
! [X0: $i] : join(complement(top),join(composition(converse(top),complement(top)),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_11762,c_362]) ).
tcf(c_17112,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(join(iPr_def_10,composition(X1,top))),complement(composition(join(iPr_def_10,X1),composition(top,X0)))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_445,c_362]) ).
tcf(c_17113,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(composition(converse(join(X0,join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(join(X0,X1),top)))),X2)) = join(complement(top),X2),
inference(superposition,[status(thm)],[c_9109,c_362]) ).
tcf(c_17114,plain,
! [X0: $i,X1: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),join(composition(converse(converse(join(iPr_def_10,X0))),complement(zero)),X1)) = join(complement(complement(join(iPr_def_10,composition(X0,top)))),X1),
inference(superposition,[status(thm)],[c_9562,c_362]) ).
tcf(c_17115,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(one),complement(X0)),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_1708,c_362]) ).
tcf(c_17116,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_11779,c_362]) ).
tcf(c_17117,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_11))),X1)) = join(complement(iPr_def_11),X1),
inference(superposition,[status(thm)],[c_16856,c_362]) ).
tcf(c_17118,plain,
! [X0: $i,X1: $i] : join(complement(zero),join(composition(converse(X0),complement(zero)),X1)) = join(complement(zero),X1),
inference(superposition,[status(thm)],[c_8201,c_362]) ).
tcf(c_17119,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(join(one,X1)),complement(join(X0,composition(X1,X0)))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_1767,c_362]) ).
tcf(c_17120,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(join(X1,one)),complement(join(X0,composition(X1,X0)))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_1782,c_362]) ).
tcf(c_17121,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(zero),complement(zero)),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_8217,c_362]) ).
tcf(c_17122,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_8222,c_362]) ).
tcf(c_17123,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_3196,c_362]) ).
tcf(c_17124,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_12534,c_362]) ).
tcf(c_17125,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_2775,c_362]) ).
tcf(c_17126,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_8221,c_362]) ).
tcf(c_17127,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_12795,c_362]) ).
tcf(c_17128,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_7055,c_362]) ).
tcf(c_17129,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_8911,c_362]) ).
tcf(c_17130,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_13261,c_362]) ).
tcf(c_17131,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_7459,c_362]) ).
tcf(c_17132,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_12931,c_362]) ).
tcf(c_17133,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_8927,c_362]) ).
tcf(c_17134,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_8919,c_362]) ).
tcf(c_17135,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_8938,c_362]) ).
tcf(c_17136,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_9546,c_362]) ).
tcf(c_17137,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(iPr_def_12,X0)),complement(join(iPr_def_12,composition(X0,top)))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_11839,c_362]) ).
tcf(c_17138,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_15143,c_362]) ).
tcf(c_17139,plain,
! [X0: $i,X1: $i] : join(complement(top),join(composition(converse(join(X0,iPr_def_12)),complement(join(iPr_def_12,composition(X0,top)))),X1)) = join(complement(top),X1),
inference(superposition,[status(thm)],[c_11846,c_362]) ).
tcf(c_17140,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_11840,c_362]) ).
tcf(c_17141,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_11843,c_362]) ).
tcf(c_17142,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_12194,c_362]) ).
tcf(c_17143,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_15252,c_362]) ).
tcf(c_17144,plain,
! [X0: $i] : join(complement(iPr_def_11),join(composition(converse(complement(converse(iPr_def_10))),complement(composition(top,iPr_def_11))),X0)) = join(complement(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_16862,c_362]) ).
tcf(c_17145,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_16909,c_362]) ).
tcf(c_17146,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_16908,c_362]) ).
tcf(c_17147,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_17002,c_362]) ).
tcf(c_17149,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_362,c_375]) ).
tcf(c_17153,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_362,c_191]) ).
tcf(c_17154,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_362,c_375]) ).
tcf(c_17155,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(X0),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_362,c_14735]) ).
tcf(c_17159,plain,
! [X0: $i] : join(iPr_def_10,join(complement(X0),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_362,c_12163]) ).
tcf(c_17160,plain,
! [X0: $i] : join(complement(X0),complement(complement(X0))) = top,
inference(superposition,[status(thm)],[c_362,c_7426]) ).
tcf(c_17161,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(X1),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_362,c_7700]) ).
tcf(c_17163,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(X0),join(iPr_def_11,X1))) = top,
inference(superposition,[status(thm)],[c_362,c_7830]) ).
tcf(c_17164,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,converse(complement(converse(iPr_def_11)))))),X1)) = join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),X1)),
inference(superposition,[status(thm)],[c_362,c_12338]) ).
tcf(c_17165,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(X1),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_362,c_12476]) ).
tcf(c_17167,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(X0),join(iPr_def_12,X1))) = top,
inference(superposition,[status(thm)],[c_362,c_15206]) ).
tcf(c_17168,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X1),complement(X0))) = top,
inference(superposition,[status(thm)],[c_362,c_12833]) ).
tcf(c_17169,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_362,c_12833]) ).
tcf(c_17170,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_362,c_13561]) ).
tcf(c_17173,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_17159,c_50,c_49]) ).
tcf(c_17175,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_17155,c_50,c_49]) ).
tcf(c_17176,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,X0)) = top,
inference(light_normalisation,[status(thm)],[c_17169,c_7732]) ).
tcf(c_17178,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_17167,c_50,c_49]) ).
tcf(c_17180,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_17165,c_50,c_49]) ).
tcf(c_17181,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_17163,c_50,c_49]) ).
tcf(c_17183,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_17161,c_50,c_49]) ).
tcf(c_17184,plain,
! [X0: $i] : join(zero,join(X0,complement(top))) = join(complement(top),X0),
inference(theory_normalisation,[status(thm)],[c_17082,c_50,c_49]) ).
tcf(c_17186,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(zero,top),X1)) = join(complement(X0),X1),
inference(light_normalisation,[status(thm)],[c_17121,c_1431,c_1950]) ).
tcf(c_17187,plain,
! [X0: $i,X1: $i] : join(top,join(composition(converse(X0),top),X1)) = join(top,X1),
inference(light_normalisation,[status(thm)],[c_17118,c_1431]) ).
tcf(c_17189,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(one,complement(X0)),X1)) = join(complement(X0),X1),
inference(light_normalisation,[status(thm)],[c_17115,c_1689]) ).
tcf(c_17190,plain,
! [X0: $i] : join(zero,join(composition(top,zero),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_17111,c_107,c_1336,c_2343]) ).
tcf(c_17193,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_17073,c_50,c_49]) ).
tcf(c_17202,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_17128,c_1431]) ).
tcf(c_17203,plain,
! [X0: $i] : join(iPr_def_11,join(converse(converse(iPr_def_12)),X0)) = join(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_17123,c_192,c_1431,c_17000]) ).
tcf(c_17204,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_17104,c_1431,c_1671]) ).
tcf(c_17207,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_17069,c_50,c_49]) ).
tcf(c_17208,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(complement(iPr_def_12))),top),X0)) = join(complement(iPr_def_12),X0),
inference(light_normalisation,[status(thm)],[c_17142,c_1431]) ).
tcf(c_17209,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(converse(complement(iPr_def_12))),top),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_17125,c_1431,c_1671]) ).
tcf(c_17210,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_17146,c_2343]) ).
tcf(c_17211,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_17145,c_2343]) ).
tcf(c_17212,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_17141,c_1431]) ).
tcf(c_17213,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_17135,c_1431]) ).
tcf(c_17215,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_17132,c_1431,c_1671]) ).
tcf(c_17217,plain,
! [X0: $i] : join(complement(complement(iPr_def_12)),join(converse(converse(iPr_def_12)),X0)) = join(complement(complement(iPr_def_12)),X0),
inference(light_normalisation,[status(thm)],[c_17103,c_1431,c_17000]) ).
tcf(c_17218,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(top,complement(composition(converse(X1),complement(composition(X1,X0)))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_17079,c_50,c_49]) ).
tcf(c_17219,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_17077,c_50,c_49]) ).
tcf(c_17220,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_17074,c_50,c_49]) ).
tcf(c_17221,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_17072,c_50,c_49]) ).
tcf(c_17222,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(complement(converse(iPr_def_10))),complement(composition(top,iPr_def_11))),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_17144,c_1671]) ).
tcf(c_17223,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_17149,c_50,c_49]) ).
tcf(c_17224,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_17133,c_1431]) ).
tcf(c_17225,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_17129,c_1431]) ).
tcf(c_17226,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),join(converse(converse(iPr_def_12)),X1)) = join(complement(composition(iPr_def_10,X0)),X1),
inference(light_normalisation,[status(thm)],[c_17126,c_1431,c_17000]) ).
tcf(c_17227,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_12)),join(X0,complement(composition(iPr_def_10,X1)))) = join(complement(composition(iPr_def_10,X1)),X0),
inference(theory_normalisation,[status(thm)],[c_17226,c_50,c_49]) ).
tcf(c_17228,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_17122,c_1431]) ).
tcf(c_17229,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_11))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_17117,c_1671]) ).
tcf(c_17230,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_17080,c_50,c_49]) ).
tcf(c_17231,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_17071,c_50,c_49]) ).
tcf(c_17237,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_11,X0)),join(composition(converse(converse(complement(iPr_def_12))),top),X1)) = join(complement(composition(iPr_def_11,X0)),X1),
inference(light_normalisation,[status(thm)],[c_17127,c_1431]) ).
tcf(c_17246,plain,
! [X0: $i,X1: $i] : join(complement(composition(complement(iPr_def_12),X0)),join(converse(converse(iPr_def_12)),X1)) = join(complement(composition(complement(iPr_def_12),X0)),X1),
inference(light_normalisation,[status(thm)],[c_17124,c_1431,c_17000]) ).
tcf(c_17247,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_12)),join(X0,complement(composition(complement(iPr_def_12),X1)))) = join(complement(composition(complement(iPr_def_12),X1)),X0),
inference(theory_normalisation,[status(thm)],[c_17246,c_50,c_49]) ).
tcf(c_17248,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_17102,c_55,c_1431]) ).
tcf(c_17249,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_17248,c_50,c_49]) ).
tcf(c_17250,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_17136,c_50,c_49]) ).
tcf(c_17251,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_17250,c_1431]) ).
tcf(c_17254,plain,
! [X0: $i,X1: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),join(composition(converse(converse(join(iPr_def_10,X0))),top),X1)) = join(complement(complement(join(iPr_def_10,composition(X0,top)))),X1),
inference(light_normalisation,[status(thm)],[c_17114,c_1431]) ).
tcf(c_17255,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),complement(join(complement(composition(converse(X1),complement(composition(X1,X0)))),complement(composition(converse(X2),complement(composition(X2,composition(converse(X1),complement(composition(X1,X0)))))))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_17081,c_76]) ).
tcf(c_17256,plain,
! [X0: $i] : join(X0,complement(join(top,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_16269,c_17207]) ).
tcf(c_17286,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_10))),iPr_def_11) = composition(join(X0,X1),iPr_def_11),
inference(superposition,[status(thm)],[c_50,c_16858]) ).
tcf(c_17287,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_10)),iPr_def_11) = composition(converse(X0),iPr_def_11),
inference(superposition,[status(thm)],[c_56,c_16858]) ).
tcf(c_17289,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_11)),complement(composition(join(X0,converse(iPr_def_10)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16858,c_433]) ).
tcf(c_17291,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),composition(iPr_def_11,X1)) = composition(composition(X0,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_16858,c_52]) ).
tcf(c_17292,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_10))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_16858,c_54]) ).
tcf(c_17293,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(composition(converse(join(X0,converse(iPr_def_10))),complement(composition(X0,iPr_def_11))),X1)) = join(complement(iPr_def_11),X1),
inference(superposition,[status(thm)],[c_16858,c_362]) ).
tcf(c_17294,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(join(X0,converse(iPr_def_10))),complement(composition(X0,iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16858,c_76]) ).
tcf(c_17295,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(X0,converse(iPr_def_10))),composition(complement(composition(X0,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16858,c_1679]) ).
tcf(c_17296,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(join(X0,converse(iPr_def_10))),complement(composition(X0,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16858,c_1680]) ).
tcf(c_17300,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(join(X0,converse(iPr_def_10))),complement(composition(X0,iPr_def_11))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_17293,c_1671]) ).
tcf(c_17302,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_11) = composition(converse(converse(X0)),iPr_def_11),
inference(superposition,[status(thm)],[c_765,c_16861]) ).
tcf(c_17303,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),iPr_def_11) = composition(converse(converse(X0)),iPr_def_11),
inference(superposition,[status(thm)],[c_222,c_16861]) ).
tcf(c_17304,plain,
composition(join(one,converse(iPr_def_10)),iPr_def_11) = composition(converse(one),iPr_def_11),
inference(superposition,[status(thm)],[c_1729,c_16861]) ).
tcf(c_17308,plain,
composition(converse(complement(iPr_def_10)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_59,c_16861]) ).
tcf(c_17309,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_10,X1))),iPr_def_11) = composition(converse(join(X0,X1)),iPr_def_11),
inference(superposition,[status(thm)],[c_191,c_16861]) ).
tcf(c_17310,plain,
composition(converse(top),iPr_def_11) = composition(converse(iPr_def_11),iPr_def_11),
inference(superposition,[status(thm)],[c_209,c_16861]) ).
tcf(c_17311,plain,
! [X0: $i] : composition(converse(join(X0,complement(join(iPr_def_10,X0)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_375,c_16861]) ).
tcf(c_17312,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_10),X0)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7124,c_16861]) ).
tcf(c_17313,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,X0)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7123,c_16861]) ).
tcf(c_17314,plain,
composition(converse(zero),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_1429,c_16861]) ).
tcf(c_17315,plain,
composition(converse(top),iPr_def_11) = composition(converse(iPr_def_12),iPr_def_11),
inference(superposition,[status(thm)],[c_11774,c_16861]) ).
tcf(c_17316,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7122,c_16861]) ).
tcf(c_17317,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_11))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7305,c_16861]) ).
tcf(c_17318,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_11,X1))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7698,c_16861]) ).
tcf(c_17319,plain,
composition(converse(converse(complement(converse(iPr_def_10)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_2345,c_16861]) ).
tcf(c_17320,plain,
! [X0: $i] : composition(converse(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_1679,c_16861]) ).
tcf(c_17321,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,iPr_def_11)))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_1680,c_16861]) ).
tcf(c_17322,plain,
! [X0: $i] : composition(converse(join(X0,complement(iPr_def_10))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7426,c_16861]) ).
tcf(c_17323,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_11)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7700,c_16861]) ).
tcf(c_17324,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_11,X2)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7830,c_16861]) ).
tcf(c_17325,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_11,X0))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_8588,c_16861]) ).
tcf(c_17326,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,X0)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_11838,c_16861]) ).
tcf(c_17327,plain,
composition(converse(composition(complement(one),iPr_def_10)),iPr_def_11) = composition(converse(composition(top,iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_11631,c_16861]) ).
tcf(c_17328,plain,
composition(converse(composition(top,complement(iPr_def_10))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_11752,c_16861]) ).
tcf(c_17329,plain,
composition(converse(composition(top,iPr_def_11)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_11759,c_16861]) ).
tcf(c_17330,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_11837,c_16861]) ).
tcf(c_17331,plain,
! [X0: $i] : composition(converse(composition(X0,complement(composition(converse(X0),iPr_def_11)))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_11899,c_16861]) ).
tcf(c_17332,plain,
composition(converse(composition(top,iPr_def_12)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_11952,c_16861]) ).
tcf(c_17333,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_11),X0)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_11990,c_16861]) ).
tcf(c_17334,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_12))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_12163,c_16861]) ).
tcf(c_17335,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_12),X0)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_12210,c_16861]) ).
tcf(c_17336,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_12)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_12476,c_16861]) ).
tcf(c_17337,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_12,X2)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_15206,c_16861]) ).
tcf(c_17338,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(iPr_def_10)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_12833,c_16861]) ).
tcf(c_17339,plain,
! [X0: $i] : composition(converse(complement(join(X0,iPr_def_11))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_13297,c_16861]) ).
tcf(c_17340,plain,
composition(converse(complement(composition(top,iPr_def_11))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_13295,c_16861]) ).
tcf(c_17341,plain,
! [X0: $i] : composition(converse(composition(complement(join(iPr_def_11,X0)),top)),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_13315,c_16861]) ).
tcf(c_17342,plain,
! [X0: $i] : composition(converse(composition(complement(join(X0,iPr_def_11)),top)),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_13389,c_16861]) ).
tcf(c_17343,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(iPr_def_11,X1))),top)),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_13365,c_16861]) ).
tcf(c_17344,plain,
composition(converse(composition(complement(composition(top,iPr_def_11)),top)),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_13387,c_16861]) ).
tcf(c_17345,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(complement(join(iPr_def_11,X0)),top),X1)),iPr_def_11) = composition(converse(join(iPr_def_10,X1)),iPr_def_11),
inference(superposition,[status(thm)],[c_13393,c_16861]) ).
tcf(c_17346,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(complement(join(iPr_def_11,X1)),top))),iPr_def_11) = composition(converse(join(X0,iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_13394,c_16861]) ).
tcf(c_17347,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top)),iPr_def_11) = composition(converse(join(iPr_def_10,composition(X1,top))),iPr_def_11),
inference(superposition,[status(thm)],[c_16170,c_16861]) ).
tcf(c_17348,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(X0,join(X1,iPr_def_11)))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_14735,c_16861]) ).
tcf(c_17349,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(X0),iPr_def_11)),complement(composition(converse(join(iPr_def_10,X0)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16861,c_433]) ).
tcf(c_17350,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),iPr_def_11),composition(X1,iPr_def_11)) = composition(join(converse(join(iPr_def_10,X0)),X1),iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_54]) ).
tcf(c_17351,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,X0)),composition(iPr_def_11,X1)) = composition(composition(converse(X0),iPr_def_11),X1),
inference(superposition,[status(thm)],[c_16861,c_52]) ).
tcf(c_17352,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),composition(converse(X1),iPr_def_11)) = composition(join(X0,converse(join(iPr_def_10,X1))),iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_54]) ).
tcf(c_17353,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(composition(converse(converse(join(iPr_def_10,X0))),complement(composition(converse(X0),iPr_def_11))),X1)) = join(complement(iPr_def_11),X1),
inference(superposition,[status(thm)],[c_16861,c_362]) ).
tcf(c_17354,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(converse(join(iPr_def_10,X0))),complement(composition(converse(X0),iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_76]) ).
tcf(c_17355,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(join(iPr_def_10,X0),complement(composition(converse(X0),iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_350]) ).
tcf(c_17356,plain,
! [X0: $i] : composition(converse(iPr_def_11),join(iPr_def_10,X0)) = converse(composition(converse(X0),iPr_def_11)),
inference(superposition,[status(thm)],[c_16861,c_226]) ).
tcf(c_17357,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(join(iPr_def_10,X0))),composition(complement(composition(converse(X0),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16861,c_1679]) ).
tcf(c_17358,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(join(iPr_def_10,X0))),complement(composition(converse(X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16861,c_1680]) ).
tcf(c_17359,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,X0),complement(composition(converse(X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16861,c_11899]) ).
tcf(c_17360,plain,
composition(converse(iPr_def_12),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17315,c_2343]) ).
tcf(c_17362,plain,
composition(converse(iPr_def_11),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17310,c_2343]) ).
tcf(c_17364,plain,
composition(converse(composition(top,iPr_def_12)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17332,c_2343]) ).
tcf(c_17365,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17330,c_2343]) ).
tcf(c_17366,plain,
composition(converse(composition(top,iPr_def_11)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17329,c_2343]) ).
tcf(c_17367,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,X0)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17326,c_2343]) ).
tcf(c_17368,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17316,c_2343]) ).
tcf(c_17369,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,X0)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17313,c_2343]) ).
tcf(c_17370,plain,
composition(join(one,converse(iPr_def_10)),iPr_def_11) = composition(one,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17304,c_1689]) ).
tcf(c_17371,plain,
composition(converse(complement(composition(top,iPr_def_11))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17340,c_1360]) ).
tcf(c_17372,plain,
! [X0: $i] : composition(converse(complement(join(X0,iPr_def_11))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17339,c_1360]) ).
tcf(c_17374,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_11,X0))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17325,c_1360]) ).
tcf(c_17376,plain,
composition(converse(converse(complement(converse(iPr_def_10)))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17319,c_2343]) ).
tcf(c_17380,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_12),X0)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17335,c_2343]) ).
tcf(c_17381,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_12))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17334,c_2343]) ).
tcf(c_17382,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_11),X0)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17333,c_2343]) ).
tcf(c_17383,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_11,X1))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17318,c_2343]) ).
tcf(c_17384,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_11))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17317,c_2343]) ).
tcf(c_17385,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(X0,join(X1,iPr_def_11)))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17348,c_1360]) ).
tcf(c_17386,plain,
composition(converse(composition(complement(composition(top,iPr_def_11)),top)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17344,c_1360]) ).
tcf(c_17387,plain,
! [X0: $i] : composition(converse(composition(complement(join(X0,iPr_def_11)),top)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17342,c_1360]) ).
tcf(c_17388,plain,
! [X0: $i] : composition(converse(composition(complement(join(iPr_def_11,X0)),top)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17341,c_1360]) ).
tcf(c_17390,plain,
! [X0: $i] : composition(converse(join(X0,complement(join(iPr_def_10,X0)))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17311,c_2343]) ).
tcf(c_17392,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_12,X2)))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17337,c_2343]) ).
tcf(c_17393,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_12)))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17336,c_2343]) ).
tcf(c_17394,plain,
! [X0: $i] : composition(converse(composition(X0,complement(composition(converse(X0),iPr_def_11)))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17331,c_1360]) ).
tcf(c_17395,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_11,X2)))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17324,c_2343]) ).
tcf(c_17396,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_11)))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17323,c_2343]) ).
tcf(c_17397,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,iPr_def_11)))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17321,c_1360]) ).
tcf(c_17398,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(iPr_def_11,X1))),top)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17343,c_1360]) ).
tcf(c_17400,plain,
! [X0: $i] : composition(converse(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_17320,c_1360]) ).
tcf(c_17401,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(complement(join(iPr_def_11,X1)),top))),iPr_def_11) = composition(converse(X0),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17346,c_17287]) ).
tcf(c_17402,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(converse(join(iPr_def_10,X0))),complement(composition(converse(X0),iPr_def_11))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_17353,c_1671]) ).
tcf(c_17428,plain,
composition(converse(iPr_def_12),one) = composition(top,converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_53,c_16989]) ).
tcf(c_17429,plain,
! [X0: $i] : composition(top,converse(composition(X0,iPr_def_11))) = composition(converse(iPr_def_12),converse(X0)),
inference(superposition,[status(thm)],[c_57,c_16989]) ).
tcf(c_17430,plain,
composition(converse(iPr_def_12),complement(composition(iPr_def_11,top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_9545,c_16989]) ).
tcf(c_17431,plain,
composition(converse(iPr_def_12),complement(iPr_def_12)) = composition(top,zero),
inference(superposition,[status(thm)],[c_1359,c_16989]) ).
tcf(c_17432,plain,
composition(converse(iPr_def_12),zero) = composition(top,zero),
inference(superposition,[status(thm)],[c_8201,c_16989]) ).
tcf(c_17433,plain,
composition(converse(iPr_def_12),iPr_def_10) = composition(top,zero),
inference(superposition,[status(thm)],[c_3196,c_16989]) ).
tcf(c_17434,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(complement(iPr_def_12),X0)) = composition(top,zero),
inference(superposition,[status(thm)],[c_12534,c_16989]) ).
tcf(c_17435,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,X0)) = composition(top,zero),
inference(superposition,[status(thm)],[c_8221,c_16989]) ).
tcf(c_17436,plain,
composition(converse(iPr_def_12),complement(composition(converse(converse(iPr_def_11)),top))) = composition(top,zero),
inference(superposition,[status(thm)],[c_9546,c_16989]) ).
tcf(c_17437,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(iPr_def_12),X0)),complement(composition(top,composition(composition(converse(iPr_def_11),X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16989,c_433]) ).
tcf(c_17438,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_16989,c_54]) ).
tcf(c_17439,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_16989,c_52]) ).
tcf(c_17440,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_16989,c_54]) ).
tcf(c_17441,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_16989,c_362]) ).
tcf(c_17443,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_16989,c_1767]) ).
tcf(c_17444,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_16989,c_76]) ).
tcf(c_17445,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_12),X0)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(iPr_def_11),X0))))) = complement(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_16989,c_428]) ).
tcf(c_17446,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_11),X0)),composition(converse(iPr_def_12),X0)) = top,
inference(superposition,[status(thm)],[c_16989,c_14135]) ).
tcf(c_17447,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_16989,c_15252]) ).
tcf(c_17448,plain,
! [X0: $i] : composition(iPr_def_12,composition(converse(iPr_def_11),X0)) = composition(iPr_def_12,composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_16989,c_11840]) ).
tcf(c_17449,plain,
! [X0: $i] : composition(converse(composition(converse(iPr_def_11),X0)),top) = converse(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_16989,c_2357]) ).
tcf(c_17450,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_16989,c_382]) ).
tcf(c_17451,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_16989,c_383]) ).
tcf(c_17452,plain,
join(iPr_def_11,composition(converse(composition(top,converse(iPr_def_11))),complement(composition(converse(iPr_def_12),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16989,c_433]) ).
tcf(c_17453,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_11)),composition(top,complement(composition(converse(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16989,c_14347]) ).
tcf(c_17456,plain,
composition(converse(iPr_def_12),one) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_17428,c_16908]) ).
tcf(c_17460,plain,
! [X0: $i] : join(composition(converse(iPr_def_12),X0),complement(composition(converse(iPr_def_11),X0))) = top,
inference(theory_normalisation,[status(thm)],[c_17446,c_50,c_49]) ).
tcf(c_17461,plain,
composition(converse(iPr_def_12),complement(converse(converse(iPr_def_12)))) = composition(top,zero),
inference(light_normalisation,[status(thm)],[c_17436,c_17000]) ).
tcf(c_17462,plain,
join(iPr_def_11,converse(converse(iPr_def_12))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_17453,c_1431,c_7459,c_11762,c_17000]) ).
tcf(c_17464,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_17443,c_50,c_49]) ).
tcf(c_17465,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_17444,c_2343]) ).
tcf(c_17466,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_17440,c_50,c_49]) ).
tcf(c_17467,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_17441,c_2343]) ).
tcf(c_17468,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),complement(composition(top,composition(converse(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16918,c_433]) ).
tcf(c_17469,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_16918,c_54]) ).
tcf(c_17470,plain,
! [X0: $i] : composition(top,composition(converse(iPr_def_12),X0)) = composition(converse(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_16918,c_52]) ).
tcf(c_17471,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_16918,c_54]) ).
tcf(c_17472,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_16918,c_362]) ).
tcf(c_17474,plain,
composition(join(one,top),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_1767]) ).
tcf(c_17475,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_16918,c_76]) ).
tcf(c_17476,plain,
composition(iPr_def_12,converse(top)) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_225]) ).
tcf(c_17477,plain,
join(complement(converse(iPr_def_12)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_12))))) = complement(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_428]) ).
tcf(c_17478,plain,
join(complement(converse(iPr_def_12)),converse(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_16918,c_14135]) ).
tcf(c_17479,plain,
composition(complement(iPr_def_12),converse(iPr_def_12)) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_15252]) ).
tcf(c_17480,plain,
composition(converse(converse(iPr_def_12)),top) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_2357]) ).
tcf(c_17481,plain,
composition(iPr_def_11,converse(iPr_def_12)) = composition(iPr_def_12,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_382]) ).
tcf(c_17482,plain,
join(converse(iPr_def_12),complement(converse(iPr_def_12))) = top,
inference(theory_normalisation,[status(thm)],[c_17478,c_50,c_49]) ).
tcf(c_17485,plain,
composition(join(top,one),converse(iPr_def_12)) = join(converse(iPr_def_12),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_17474,c_50,c_49]) ).
tcf(c_17486,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_17475,c_2343]) ).
tcf(c_17487,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_17471,c_50,c_49]) ).
tcf(c_17488,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_17487,c_7015,c_16918]) ).
tcf(c_17492,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_17472,c_2343]) ).
tcf(c_17493,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(top,composition(converse(complement(iPr_def_12)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16923,c_433]) ).
tcf(c_17494,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_16923,c_54]) ).
tcf(c_17495,plain,
! [X0: $i] : composition(top,composition(converse(complement(iPr_def_12)),X0)) = composition(converse(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_16923,c_52]) ).
tcf(c_17496,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_16923,c_54]) ).
tcf(c_17497,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_16923,c_362]) ).
tcf(c_17499,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_16923,c_1767]) ).
tcf(c_17500,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_16923,c_76]) ).
tcf(c_17501,plain,
composition(complement(iPr_def_12),converse(top)) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16923,c_225]) ).
tcf(c_17502,plain,
join(complement(converse(iPr_def_10)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(complement(iPr_def_12)))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16923,c_428]) ).
tcf(c_17503,plain,
join(complement(converse(complement(iPr_def_12))),converse(iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_16923,c_14135]) ).
tcf(c_17504,plain,
composition(complement(iPr_def_12),converse(iPr_def_10)) = composition(iPr_def_10,converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16923,c_15252]) ).
tcf(c_17505,plain,
composition(iPr_def_12,converse(complement(iPr_def_12))) = composition(iPr_def_12,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16923,c_11840]) ).
tcf(c_17506,plain,
composition(converse(converse(complement(iPr_def_12))),top) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16923,c_2357]) ).
tcf(c_17507,plain,
composition(iPr_def_12,converse(complement(iPr_def_12))) = composition(iPr_def_11,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16923,c_382]) ).
tcf(c_17508,plain,
composition(iPr_def_10,converse(complement(iPr_def_12))) = composition(iPr_def_10,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16923,c_383]) ).
tcf(c_17509,plain,
join(converse(iPr_def_10),complement(converse(complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_17503,c_50,c_49]) ).
tcf(c_17513,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_17499,c_50,c_49]) ).
tcf(c_17515,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_17500,c_2343]) ).
tcf(c_17516,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_17496,c_50,c_49]) ).
tcf(c_17517,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_17516,c_7015,c_16923]) ).
tcf(c_17519,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_17497,c_2343]) ).
tcf(c_17522,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_11,converse(iPr_def_10))),complement(composition(iPr_def_12,composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17025,c_433]) ).
tcf(c_17523,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_17025,c_54]) ).
tcf(c_17524,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_17025,c_52]) ).
tcf(c_17525,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_17025,c_54]) ).
tcf(c_17526,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_17025,c_362]) ).
tcf(c_17528,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_17025,c_1767]) ).
tcf(c_17529,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_17025,c_76]) ).
tcf(c_17530,plain,
converse(composition(iPr_def_11,converse(iPr_def_10))) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_17025,c_225]) ).
tcf(c_17531,plain,
join(iPr_def_10,composition(complement(composition(iPr_def_11,converse(iPr_def_10))),top)) = composition(complement(composition(iPr_def_11,converse(iPr_def_10))),top),
inference(superposition,[status(thm)],[c_17025,c_16092]) ).
tcf(c_17532,plain,
join(iPr_def_10,complement(composition(iPr_def_11,converse(iPr_def_10)))) = complement(composition(iPr_def_11,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17025,c_15920]) ).
tcf(c_17533,plain,
composition(converse(composition(iPr_def_11,converse(iPr_def_10))),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_17025,c_8919]) ).
tcf(c_17534,plain,
composition(converse(iPr_def_10),composition(iPr_def_11,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_17025,c_8911]) ).
tcf(c_17535,plain,
converse(composition(iPr_def_11,converse(iPr_def_10))) = composition(iPr_def_10,converse(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_17530,c_17002]) ).
tcf(c_17536,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_17528,c_50,c_49]) ).
tcf(c_17537,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(complement(iPr_def_12),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17023,c_433]) ).
tcf(c_17538,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),composition(X0,converse(iPr_def_10))) = composition(join(complement(iPr_def_12),X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_54]) ).
tcf(c_17539,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(converse(iPr_def_10),X0)) = composition(composition(iPr_def_10,converse(iPr_def_10)),X0),
inference(superposition,[status(thm)],[c_17023,c_52]) ).
tcf(c_17540,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(X0,complement(iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_54]) ).
tcf(c_17541,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(complement(iPr_def_12)),complement(composition(iPr_def_10,converse(iPr_def_10)))),X0)) = join(complement(converse(iPr_def_10)),X0),
inference(superposition,[status(thm)],[c_17023,c_362]) ).
tcf(c_17543,plain,
join(converse(iPr_def_10),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(one,complement(iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_1767]) ).
tcf(c_17544,plain,
join(complement(converse(iPr_def_10)),composition(converse(complement(iPr_def_12)),complement(composition(iPr_def_10,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_76]) ).
tcf(c_17545,plain,
composition(iPr_def_10,converse(complement(iPr_def_12))) = converse(composition(iPr_def_10,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17023,c_225]) ).
tcf(c_17546,plain,
composition(converse(iPr_def_11),composition(iPr_def_10,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_17023,c_12534]) ).
tcf(c_17547,plain,
converse(composition(iPr_def_10,converse(iPr_def_10))) = composition(iPr_def_10,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_17545,c_17508]) ).
tcf(c_17550,plain,
! [X0: $i] : composition(join(one,X0),converse(iPr_def_10)) = converse(iPr_def_10),
inference(demodulation,[status(thm)],[c_17031,c_1767]) ).
tcf(c_17551,plain,
! [X0: $i] : composition(join(X0,one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_17550]) ).
tcf(c_17555,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,X1)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_17550]) ).
tcf(c_17561,plain,
composition(one,converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7769,c_17550]) ).
tcf(c_17566,plain,
composition(composition(top,one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11631,c_17550]) ).
tcf(c_17569,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(one,X0),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17550,c_433]) ).
tcf(c_17570,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_17550,c_54]) ).
tcf(c_17571,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_17550,c_52]) ).
tcf(c_17572,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_17550,c_54]) ).
tcf(c_17573,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_17550,c_362]) ).
tcf(c_17574,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_17550,c_1782]) ).
tcf(c_17575,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_17550,c_1767]) ).
tcf(c_17576,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_17550,c_76]) ).
tcf(c_17577,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(one,X0))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17550,c_225]) ).
tcf(c_17578,plain,
! [X0: $i] : composition(iPr_def_10,join(one,converse(X0))) = converse(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_17577,c_1723]) ).
tcf(c_17579,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_17574,c_50,c_49]) ).
tcf(c_17580,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_17576,c_1723]) ).
tcf(c_17581,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_17572,c_50,c_49]) ).
tcf(c_17582,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_17570,c_50,c_49]) ).
tcf(c_17583,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_17573,c_1723]) ).
tcf(c_17584,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(iPr_def_10,composition(converse(complement(iPr_def_12)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17508,c_433]) ).
tcf(c_17585,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),composition(X0,converse(complement(iPr_def_12)))) = composition(join(iPr_def_10,X0),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_54]) ).
tcf(c_17586,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(complement(iPr_def_12)),X0)) = composition(composition(iPr_def_10,converse(iPr_def_10)),X0),
inference(superposition,[status(thm)],[c_17508,c_52]) ).
tcf(c_17587,plain,
! [X0: $i] : join(composition(X0,converse(complement(iPr_def_12))),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(X0,iPr_def_10),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_54]) ).
tcf(c_17588,plain,
! [X0: $i] : join(complement(converse(complement(iPr_def_12))),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_10)))),X0)) = join(complement(converse(complement(iPr_def_12))),X0),
inference(superposition,[status(thm)],[c_17508,c_362]) ).
tcf(c_17590,plain,
join(converse(complement(iPr_def_12)),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(one,iPr_def_10),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_1767]) ).
tcf(c_17591,plain,
join(complement(converse(complement(iPr_def_12))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_10))))) = complement(converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_76]) ).
tcf(c_17592,plain,
composition(complement(iPr_def_12),converse(iPr_def_10)) = converse(composition(iPr_def_10,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17508,c_225]) ).
tcf(c_17593,plain,
join(complement(composition(top,converse(complement(iPr_def_12)))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(iPr_def_10))))) = complement(composition(top,converse(complement(iPr_def_12)))),
inference(superposition,[status(thm)],[c_17508,c_428]) ).
tcf(c_17594,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_10))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_17508,c_12931]) ).
tcf(c_17595,plain,
composition(converse(composition(iPr_def_10,converse(iPr_def_10))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_17508,c_8938]) ).
tcf(c_17597,plain,
composition(converse(iPr_def_12),composition(iPr_def_10,converse(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_17508,c_8927]) ).
tcf(c_17599,plain,
join(converse(complement(iPr_def_12)),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(iPr_def_10,one),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_17590,c_50,c_49]) ).
tcf(c_17600,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),composition(X0,converse(complement(iPr_def_12)))) = composition(join(X0,iPr_def_10),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_17587,c_50,c_49]) ).
tcf(c_17604,plain,
! [X0: $i] : composition(top,converse(composition(X0,iPr_def_10))) = converse(composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_57,c_17014]) ).
tcf(c_17612,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(iPr_def_10),X0)),complement(composition(top,composition(composition(converse(iPr_def_10),X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17014,c_433]) ).
tcf(c_17613,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_17014,c_54]) ).
tcf(c_17614,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_17014,c_52]) ).
tcf(c_17615,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_17014,c_54]) ).
tcf(c_17616,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_17014,c_362]) ).
tcf(c_17618,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_17014,c_1767]) ).
tcf(c_17619,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_17014,c_76]) ).
tcf(c_17620,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_10),X0)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(iPr_def_10),X0))))) = complement(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_17014,c_428]) ).
tcf(c_17621,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_10),X0)),composition(converse(iPr_def_10),X0)) = top,
inference(superposition,[status(thm)],[c_17014,c_14135]) ).
tcf(c_17622,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_17014,c_15252]) ).
tcf(c_17623,plain,
! [X0: $i] : composition(converse(composition(converse(iPr_def_10),X0)),top) = converse(composition(converse(iPr_def_10),X0)),
inference(superposition,[status(thm)],[c_17014,c_2357]) ).
tcf(c_17624,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_17014,c_382]) ).
tcf(c_17625,plain,
join(iPr_def_11,composition(converse(composition(top,converse(iPr_def_10))),complement(composition(converse(iPr_def_10),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17014,c_433]) ).
tcf(c_17626,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_10)),composition(top,complement(composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17014,c_14347]) ).
tcf(c_17627,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),X0),complement(composition(converse(iPr_def_10),X0))) = top,
inference(theory_normalisation,[status(thm)],[c_17621,c_50,c_49]) ).
tcf(c_17628,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(converse(iPr_def_10),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_17625,c_16909]) ).
tcf(c_17629,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_17618,c_50,c_49]) ).
tcf(c_17630,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_17619,c_2343]) ).
tcf(c_17631,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_17615,c_50,c_49]) ).
tcf(c_17632,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_17616,c_2343]) ).
tcf(c_17634,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,complement(join(iPr_def_11,X0))))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13315,c_16911]) ).
tcf(c_17635,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,complement(join(X0,iPr_def_11))))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13389,c_16911]) ).
tcf(c_17636,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,complement(join(X0,join(iPr_def_11,X1)))))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13365,c_16911]) ).
tcf(c_17637,plain,
composition(top,converse(join(iPr_def_10,complement(composition(top,iPr_def_11))))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13387,c_16911]) ).
tcf(c_17638,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),X1)))) = converse(join(iPr_def_10,composition(X1,top))),
inference(superposition,[status(thm)],[c_16170,c_16911]) ).
tcf(c_17639,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,complement(composition(iPr_def_12,X0))))) = converse(composition(complement(composition(iPr_def_12,X0)),top)),
inference(superposition,[status(thm)],[c_16092,c_16911]) ).
tcf(c_17640,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,complement(composition(iPr_def_11,X0))))) = converse(composition(complement(composition(iPr_def_11,X0)),top)),
inference(superposition,[status(thm)],[c_16108,c_16911]) ).
tcf(c_17641,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,composition(X0,X1)))) = converse(join(iPr_def_10,composition(X0,composition(X1,top)))),
inference(superposition,[status(thm)],[c_52,c_16911]) ).
tcf(c_17642,plain,
composition(top,converse(join(iPr_def_10,iPr_def_11))) = converse(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_116,c_16911]) ).
tcf(c_17643,plain,
composition(top,converse(join(iPr_def_10,iPr_def_10))) = converse(join(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_193,c_16911]) ).
tcf(c_17644,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(iPr_def_11,X0)))) = converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),
inference(superposition,[status(thm)],[c_391,c_16911]) ).
tcf(c_17645,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(iPr_def_10,X0)))) = converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_392,c_16911]) ).
tcf(c_17646,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(X0,iPr_def_11)))) = converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),
inference(superposition,[status(thm)],[c_402,c_16911]) ).
tcf(c_17647,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(X0,iPr_def_10)))) = converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_401,c_16911]) ).
tcf(c_17648,plain,
composition(top,converse(join(iPr_def_10,top))) = converse(join(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_11762,c_16911]) ).
tcf(c_17649,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top))))) = converse(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top)))),
inference(superposition,[status(thm)],[c_445,c_16911]) ).
tcf(c_17650,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,join(X0,join(iPr_def_10,X1))))) = converse(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))),
inference(superposition,[status(thm)],[c_9109,c_16911]) ).
tcf(c_17651,plain,
composition(top,converse(join(iPr_def_10,one))) = converse(join(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_1708,c_16911]) ).
tcf(c_17652,plain,
composition(top,converse(join(iPr_def_10,iPr_def_12))) = converse(join(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_11779,c_16911]) ).
tcf(c_17653,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(one,X0)))) = converse(join(iPr_def_10,join(top,composition(X0,top)))),
inference(superposition,[status(thm)],[c_1767,c_16911]) ).
tcf(c_17654,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(X0,one)))) = converse(join(iPr_def_10,join(top,composition(X0,top)))),
inference(superposition,[status(thm)],[c_1782,c_16911]) ).
tcf(c_17655,plain,
composition(top,converse(join(iPr_def_10,zero))) = converse(join(iPr_def_10,zero)),
inference(superposition,[status(thm)],[c_8217,c_16911]) ).
tcf(c_17656,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(iPr_def_12,X0)))) = converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),
inference(superposition,[status(thm)],[c_11839,c_16911]) ).
tcf(c_17657,plain,
composition(top,converse(join(iPr_def_10,complement(iPr_def_12)))) = converse(join(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_15143,c_16911]) ).
tcf(c_17658,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(X0,iPr_def_12)))) = converse(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))),
inference(superposition,[status(thm)],[c_11846,c_16911]) ).
tcf(c_17659,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(join(iPr_def_10,composition(X0,top)),converse(X1)),complement(composition(join(composition(top,converse(join(iPr_def_10,X0))),X1),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16911,c_776]) ).
tcf(c_17660,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,composition(X0,top)),complement(composition(composition(top,converse(join(iPr_def_10,X0))),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16911,c_11899]) ).
tcf(c_17661,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(top,converse(join(iPr_def_10,X0))),composition(top,complement(composition(top,composition(join(iPr_def_10,composition(X0,top)),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16911,c_14347]) ).
tcf(c_17662,plain,
! [X0: $i] : join(complement(one),composition(join(iPr_def_10,composition(X0,top)),complement(composition(top,converse(join(iPr_def_10,X0)))))) = complement(one),
inference(superposition,[status(thm)],[c_16911,c_9621]) ).
tcf(c_17663,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(composition(top,converse(join(iPr_def_10,X0))),complement(composition(join(iPr_def_10,composition(X0,top)),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_16911,c_434]) ).
tcf(c_17664,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(top,converse(join(iPr_def_10,X0))),composition(complement(composition(join(iPr_def_10,composition(X0,top)),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16911,c_1679]) ).
tcf(c_17665,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(top,converse(join(iPr_def_10,X0))),complement(composition(join(iPr_def_10,composition(X0,top)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16911,c_1680]) ).
tcf(c_17666,plain,
! [X0: $i] : join(join(iPr_def_10,composition(X0,top)),converse(complement(composition(top,converse(join(iPr_def_10,X0)))))) = top,
inference(superposition,[status(thm)],[c_16911,c_2345]) ).
tcf(c_17667,plain,
! [X0: $i] : join(complement(one),composition(composition(top,converse(join(iPr_def_10,X0))),complement(join(iPr_def_10,composition(X0,top))))) = complement(one),
inference(superposition,[status(thm)],[c_16911,c_351]) ).
tcf(c_17668,plain,
! [X0: $i] : composition(join(iPr_def_10,composition(X0,top)),complement(composition(composition(top,converse(join(iPr_def_10,X0))),top))) = zero,
inference(superposition,[status(thm)],[c_16911,c_9546]) ).
tcf(c_17669,plain,
! [X0: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),complement(composition(join(iPr_def_10,composition(X0,top)),top))) = zero,
inference(superposition,[status(thm)],[c_16911,c_9545]) ).
tcf(c_17670,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(join(iPr_def_10,X0))),X1)) = join(converse(X1),join(iPr_def_10,composition(X0,top))),
inference(superposition,[status(thm)],[c_16911,c_985]) ).
tcf(c_17671,plain,
! [X0: $i,X1: $i] : converse(composition(composition(top,converse(join(iPr_def_10,X0))),X1)) = composition(converse(X1),join(iPr_def_10,composition(X0,top))),
inference(superposition,[status(thm)],[c_16911,c_226]) ).
tcf(c_17672,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(join(iPr_def_10,X0))),X1)) = join(join(iPr_def_10,composition(X0,top)),converse(X1)),
inference(superposition,[status(thm)],[c_16911,c_221]) ).
tcf(c_17673,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_10,composition(X0,top)),complement(composition(composition(top,converse(join(iPr_def_10,X0))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16911,c_432]) ).
tcf(c_17674,plain,
! [X0: $i] : join(iPr_def_11,composition(composition(top,converse(join(iPr_def_10,X0))),complement(composition(join(iPr_def_10,composition(X0,top)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16911,c_349]) ).
tcf(c_17675,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),converse(X1)) = converse(composition(X1,join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_16911,c_57]) ).
tcf(c_17676,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_10,X0))),converse(X1)) = converse(join(join(iPr_def_10,composition(X0,top)),X1)),
inference(superposition,[status(thm)],[c_16911,c_56]) ).
tcf(c_17677,plain,
! [X0: $i] : converse(composition(top,converse(join(iPr_def_10,X0)))) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_16911,c_55]) ).
tcf(c_17678,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(composition(top,converse(join(iPr_def_10,X1))),complement(composition(join(iPr_def_10,composition(X1,top)),X0))),X2)) = join(complement(X0),X2),
inference(superposition,[status(thm)],[c_16911,c_362]) ).
tcf(c_17679,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(join(iPr_def_10,composition(X1,top)),complement(composition(composition(top,converse(join(iPr_def_10,X1))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_16911,c_350]) ).
tcf(c_17680,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,composition(top,converse(join(iPr_def_10,X1)))),complement(composition(join(converse(X0),join(iPr_def_10,composition(X1,top))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16911,c_776]) ).
tcf(c_17681,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(composition(top,converse(join(iPr_def_10,X1))),complement(composition(join(iPr_def_10,composition(X1,top)),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_16911,c_9023]) ).
tcf(c_17682,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(join(iPr_def_10,X1))))) = join(join(iPr_def_10,composition(X1,top)),converse(X0)),
inference(superposition,[status(thm)],[c_16911,c_765]) ).
tcf(c_17683,plain,
! [X0: $i,X1: $i] : converse(composition(X0,composition(top,converse(join(iPr_def_10,X1))))) = composition(join(iPr_def_10,composition(X1,top)),converse(X0)),
inference(superposition,[status(thm)],[c_16911,c_225]) ).
tcf(c_17684,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(join(iPr_def_10,X1))))) = join(converse(X0),join(iPr_def_10,composition(X1,top))),
inference(superposition,[status(thm)],[c_16911,c_222]) ).
tcf(c_17685,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(composition(top,converse(join(iPr_def_10,X1))),complement(composition(join(iPr_def_10,composition(X1,top)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_16911,c_76]) ).
tcf(c_17686,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(top,converse(join(iPr_def_10,X1)))) = converse(composition(join(iPr_def_10,composition(X1,top)),X0)),
inference(superposition,[status(thm)],[c_16911,c_57]) ).
tcf(c_17687,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(top,converse(join(iPr_def_10,X1)))) = converse(join(X0,join(iPr_def_10,composition(X1,top)))),
inference(superposition,[status(thm)],[c_16911,c_56]) ).
tcf(c_17688,plain,
! [X0: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),iPr_def_11) = composition(converse(composition(X0,top)),iPr_def_11),
inference(superposition,[status(thm)],[c_16911,c_16861]) ).
tcf(c_17689,plain,
! [X0: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),complement(join(iPr_def_10,composition(composition(X0,top),top)))) = zero,
inference(superposition,[status(thm)],[c_16911,c_9562]) ).
tcf(c_17692,plain,
converse(join(iPr_def_10,iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_17657,c_13163,c_16923]) ).
tcf(c_17697,plain,
! [X0: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),iPr_def_11) = composition(composition(top,converse(X0)),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_17688,c_2354]) ).
tcf(c_17698,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),converse(complement(composition(top,converse(join(iPr_def_10,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_17666,c_50,c_49]) ).
tcf(c_17700,plain,
! [X0: $i] : composition(top,join(iPr_def_10,join(iPr_def_12,converse(X0)))) = top,
inference(light_normalisation,[status(thm)],[c_17656,c_2343,c_9815,c_10213,c_11774]) ).
tcf(c_17703,plain,
! [X0: $i] : composition(top,converse(complement(composition(iPr_def_11,X0)))) = converse(composition(complement(composition(iPr_def_11,X0)),top)),
inference(light_normalisation,[status(thm)],[c_17640,c_15924]) ).
tcf(c_17704,plain,
! [X0: $i] : composition(top,converse(complement(composition(iPr_def_12,X0)))) = converse(composition(complement(composition(iPr_def_12,X0)),top)),
inference(light_normalisation,[status(thm)],[c_17639,c_15920]) ).
tcf(c_17705,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(join(iPr_def_10,X1))))) = join(iPr_def_10,join(converse(X0),composition(X1,top))),
inference(theory_normalisation,[status(thm)],[c_17684,c_50,c_49]) ).
tcf(c_17706,plain,
! [X0: $i,X1: $i] : converse(join(X0,composition(top,converse(join(iPr_def_10,X1))))) = join(iPr_def_10,join(composition(X1,top),converse(X0))),
inference(theory_normalisation,[status(thm)],[c_17682,c_50,c_49]) ).
tcf(c_17707,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_10,X0))),converse(X1)) = converse(join(iPr_def_10,join(composition(X0,top),X1))),
inference(theory_normalisation,[status(thm)],[c_17676,c_50,c_49]) ).
tcf(c_17708,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(join(iPr_def_10,X0))),X1)) = join(iPr_def_10,join(composition(X0,top),converse(X1))),
inference(theory_normalisation,[status(thm)],[c_17672,c_50,c_49]) ).
tcf(c_17709,plain,
! [X0: $i,X1: $i] : converse(join(composition(top,converse(join(iPr_def_10,X0))),X1)) = join(iPr_def_10,join(converse(X1),composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_17670,c_50,c_49]) ).
tcf(c_17712,plain,
! [X0: $i,X1: $i] : converse(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))) = composition(top,converse(join(X0,join(iPr_def_10,X1)))),
inference(light_normalisation,[status(thm)],[c_17650,c_3871]) ).
tcf(c_17713,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top))))) = converse(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))),
inference(light_normalisation,[status(thm)],[c_17649,c_392,c_11762]) ).
tcf(c_17714,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,composition(top,converse(join(iPr_def_10,X1)))),complement(composition(join(iPr_def_10,join(converse(X0),composition(X1,top))),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_17680,c_50,c_49]) ).
tcf(c_17715,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(iPr_def_10,join(composition(X0,top),converse(X1))),complement(composition(join(composition(top,converse(join(iPr_def_10,X0))),X1),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_17659,c_50,c_49]) ).
tcf(c_17745,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,one)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_17551]) ).
tcf(c_17749,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,one),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17551,c_433]) ).
tcf(c_17750,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_17551,c_54]) ).
tcf(c_17751,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_17551,c_52]) ).
tcf(c_17752,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_17551,c_54]) ).
tcf(c_17753,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_17551,c_362]) ).
tcf(c_17754,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_17551,c_1782]) ).
tcf(c_17756,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_17551,c_76]) ).
tcf(c_17757,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(X0,one))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17551,c_225]) ).
tcf(c_17759,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_17754,c_50,c_49]) ).
tcf(c_17761,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_17752,c_50,c_49]) ).
tcf(c_17762,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_17750,c_50,c_49]) ).
tcf(c_17770,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_10))),iPr_def_11) = composition(converse(join(X0,X1)),iPr_def_11),
inference(superposition,[status(thm)],[c_50,c_17287]) ).
tcf(c_17772,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(X0),iPr_def_11)),complement(composition(converse(join(X0,iPr_def_10)),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17287,c_433]) ).
tcf(c_17773,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),iPr_def_11),composition(X1,iPr_def_11)) = composition(join(converse(join(X0,iPr_def_10)),X1),iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_54]) ).
tcf(c_17774,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,iPr_def_10)),composition(iPr_def_11,X1)) = composition(composition(converse(X0),iPr_def_11),X1),
inference(superposition,[status(thm)],[c_17287,c_52]) ).
tcf(c_17775,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),composition(converse(X1),iPr_def_11)) = composition(join(X0,converse(join(X1,iPr_def_10))),iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_54]) ).
tcf(c_17776,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),join(composition(converse(converse(join(X0,iPr_def_10))),complement(composition(converse(X0),iPr_def_11))),X1)) = join(complement(iPr_def_11),X1),
inference(superposition,[status(thm)],[c_17287,c_362]) ).
tcf(c_17777,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(converse(join(X0,iPr_def_10))),complement(composition(converse(X0),iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_76]) ).
tcf(c_17778,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(join(X0,iPr_def_10),complement(composition(converse(X0),iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_350]) ).
tcf(c_17779,plain,
! [X0: $i] : composition(converse(iPr_def_11),join(X0,iPr_def_10)) = converse(composition(converse(X0),iPr_def_11)),
inference(superposition,[status(thm)],[c_17287,c_226]) ).
tcf(c_17780,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(join(X0,iPr_def_10))),composition(complement(composition(converse(X0),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17287,c_1679]) ).
tcf(c_17781,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(converse(join(X0,iPr_def_10))),complement(composition(converse(X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17287,c_1680]) ).
tcf(c_17782,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,iPr_def_10),complement(composition(converse(X0),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17287,c_11899]) ).
tcf(c_17785,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(converse(join(X0,iPr_def_10))),complement(composition(converse(X0),iPr_def_11))),X1)) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_17776,c_1671]) ).
tcf(c_17788,plain,
! [X0: $i] : composition(top,converse(composition(X0,iPr_def_12))) = converse(composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_57,c_17470]) ).
tcf(c_17795,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(iPr_def_12),X0)),complement(composition(top,composition(composition(converse(iPr_def_12),X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17470,c_433]) ).
tcf(c_17796,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_17470,c_54]) ).
tcf(c_17797,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_17470,c_52]) ).
tcf(c_17798,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_17470,c_54]) ).
tcf(c_17799,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_17470,c_362]) ).
tcf(c_17801,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_17470,c_1767]) ).
tcf(c_17802,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_17470,c_76]) ).
tcf(c_17803,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_12),X0)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(iPr_def_12),X0))))) = complement(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_17470,c_428]) ).
tcf(c_17804,plain,
! [X0: $i] : join(complement(composition(converse(iPr_def_12),X0)),composition(converse(iPr_def_12),X0)) = top,
inference(superposition,[status(thm)],[c_17470,c_14135]) ).
tcf(c_17805,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_17470,c_15252]) ).
tcf(c_17806,plain,
! [X0: $i] : composition(converse(composition(converse(iPr_def_12),X0)),top) = converse(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_17470,c_2357]) ).
tcf(c_17807,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_17470,c_382]) ).
tcf(c_17808,plain,
join(iPr_def_11,composition(converse(composition(top,converse(iPr_def_12))),complement(composition(converse(iPr_def_12),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17470,c_433]) ).
tcf(c_17809,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),composition(top,complement(composition(converse(iPr_def_12),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17470,c_14347]) ).
tcf(c_17810,plain,
! [X0: $i] : join(composition(converse(iPr_def_12),X0),complement(composition(converse(iPr_def_12),X0))) = top,
inference(theory_normalisation,[status(thm)],[c_17804,c_50,c_49]) ).
tcf(c_17814,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_17801,c_50,c_49]) ).
tcf(c_17815,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_17802,c_2343]) ).
tcf(c_17816,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_17798,c_50,c_49]) ).
tcf(c_17818,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_17799,c_2343]) ).
tcf(c_17821,plain,
composition(top,composition(converse(iPr_def_10),top)) = composition(converse(iPr_def_10),top),
inference(superposition,[status(thm)],[c_2357,c_17604]) ).
tcf(c_17822,plain,
! [X0: $i,X1: $i] : composition(top,converse(composition(X0,composition(X1,iPr_def_10)))) = converse(composition(X0,composition(X1,iPr_def_10))),
inference(superposition,[status(thm)],[c_52,c_17604]) ).
tcf(c_17825,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_10,composition(X0,iPr_def_10)))) = converse(join(iPr_def_10,composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_1767,c_17604]) ).
tcf(c_17832,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(X0,iPr_def_10))),complement(composition(top,composition(converse(composition(X0,iPr_def_10)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17604,c_433]) ).
tcf(c_17833,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(composition(X0,iPr_def_10)))) = composition(join(top,X1),converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_54]) ).
tcf(c_17834,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_17604,c_52]) ).
tcf(c_17835,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(composition(X1,iPr_def_10))),converse(composition(X1,iPr_def_10))) = composition(join(X0,top),converse(composition(X1,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_54]) ).
tcf(c_17836,plain,
! [X0: $i,X1: $i] : join(complement(converse(composition(X0,iPr_def_10))),join(composition(converse(top),complement(converse(composition(X0,iPr_def_10)))),X1)) = join(complement(converse(composition(X0,iPr_def_10))),X1),
inference(superposition,[status(thm)],[c_17604,c_362]) ).
tcf(c_17838,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_10)),converse(composition(X0,iPr_def_10))) = composition(join(one,top),converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_1767]) ).
tcf(c_17839,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_10))),composition(converse(top),complement(converse(composition(X0,iPr_def_10))))) = complement(converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_76]) ).
tcf(c_17840,plain,
! [X0: $i] : composition(composition(X0,iPr_def_10),converse(top)) = converse(converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_225]) ).
tcf(c_17841,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_10))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(composition(X0,iPr_def_10)))))) = complement(converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_428]) ).
tcf(c_17842,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_10))),converse(composition(X0,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_17604,c_14135]) ).
tcf(c_17843,plain,
! [X0: $i] : composition(complement(iPr_def_12),converse(composition(X0,iPr_def_10))) = composition(iPr_def_10,converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_15252]) ).
tcf(c_17844,plain,
! [X0: $i] : composition(converse(converse(composition(X0,iPr_def_10))),top) = converse(converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_2357]) ).
tcf(c_17845,plain,
! [X0: $i] : composition(iPr_def_11,converse(composition(X0,iPr_def_10))) = composition(iPr_def_12,converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_382]) ).
tcf(c_17846,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_10)),complement(converse(composition(X0,iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_17842,c_50,c_49]) ).
tcf(c_17847,plain,
! [X0: $i] : composition(composition(X0,iPr_def_10),top) = converse(converse(composition(X0,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_17840,c_2343]) ).
tcf(c_17848,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_10)),converse(composition(X0,iPr_def_10))) = composition(join(top,one),converse(composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_17838,c_50,c_49]) ).
tcf(c_17849,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_10))),composition(top,complement(converse(composition(X0,iPr_def_10))))) = complement(converse(composition(X0,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_17839,c_2343]) ).
tcf(c_17850,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(composition(X0,iPr_def_10)))) = composition(join(X1,top),converse(composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_17835,c_50,c_49]) ).
tcf(c_17851,plain,
! [X0: $i,X1: $i] : join(complement(converse(composition(X0,iPr_def_10))),join(composition(top,complement(converse(composition(X0,iPr_def_10)))),X1)) = join(complement(converse(composition(X0,iPr_def_10))),X1),
inference(light_normalisation,[status(thm)],[c_17836,c_2343]) ).
tcf(c_17856,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),one)) = composition(iPr_def_10,converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_53,c_17451]) ).
tcf(c_17857,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(iPr_def_11),converse(X0))) = composition(iPr_def_10,converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_57,c_17451]) ).
tcf(c_17858,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),complement(composition(iPr_def_12,top)))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_9545,c_17451]) ).
tcf(c_17859,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),zero)) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_8201,c_17451]) ).
tcf(c_17860,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),iPr_def_10)) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_7459,c_17451]) ).
tcf(c_17861,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(iPr_def_11),composition(iPr_def_10,X0))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_8927,c_17451]) ).
tcf(c_17862,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),complement(composition(converse(converse(iPr_def_12)),top)))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_9546,c_17451]) ).
tcf(c_17863,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),complement(iPr_def_12))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_11843,c_17451]) ).
tcf(c_17864,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(iPr_def_10,composition(converse(iPr_def_11),X0))),complement(composition(iPr_def_10,composition(composition(converse(iPr_def_12),X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17451,c_433]) ).
tcf(c_17865,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,composition(converse(iPr_def_11),X0)),composition(X1,composition(converse(iPr_def_12),X0))) = composition(join(iPr_def_10,X1),composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_17451,c_54]) ).
tcf(c_17866,plain,
! [X0: $i,X1: $i] : composition(composition(iPr_def_10,composition(converse(iPr_def_11),X0)),X1) = composition(iPr_def_10,composition(composition(converse(iPr_def_12),X0),X1)),
inference(superposition,[status(thm)],[c_17451,c_52]) ).
tcf(c_17867,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),composition(iPr_def_10,composition(converse(iPr_def_11),X1))) = composition(join(X0,iPr_def_10),composition(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_17451,c_54]) ).
tcf(c_17868,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_12),X0)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(iPr_def_11),X0)))),X1)) = join(complement(composition(converse(iPr_def_12),X0)),X1),
inference(superposition,[status(thm)],[c_17451,c_362]) ).
tcf(c_17870,plain,
! [X0: $i] : join(composition(converse(iPr_def_12),X0),composition(iPr_def_10,composition(converse(iPr_def_11),X0))) = composition(join(one,iPr_def_10),composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_17451,c_1767]) ).
tcf(c_17872,plain,
! [X0: $i] : join(complement(composition(top,composition(converse(iPr_def_12),X0))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(iPr_def_11),X0))))) = complement(composition(top,composition(converse(iPr_def_12),X0))),
inference(superposition,[status(thm)],[c_17451,c_428]) ).
tcf(c_17873,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,composition(converse(iPr_def_11),X0))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_17451,c_12931]) ).
tcf(c_17874,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,composition(converse(iPr_def_11),X0))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_17451,c_8938]) ).
tcf(c_17875,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,composition(converse(iPr_def_11),X0))) = zero,
inference(superposition,[status(thm)],[c_17451,c_8221]) ).
tcf(c_17876,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,composition(converse(iPr_def_11),X0))) = zero,
inference(superposition,[status(thm)],[c_17451,c_8927]) ).
tcf(c_17877,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,converse(iPr_def_12))),complement(composition(iPr_def_10,composition(converse(iPr_def_11),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17451,c_433]) ).
tcf(c_17880,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),one)) = composition(iPr_def_10,converse(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_17856,c_17002]) ).
tcf(c_17883,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),complement(converse(converse(iPr_def_12))))) = composition(iPr_def_10,zero),
inference(light_normalisation,[status(thm)],[c_17862,c_17480]) ).
tcf(c_17885,plain,
! [X0: $i] : join(composition(converse(iPr_def_12),X0),composition(iPr_def_10,composition(converse(iPr_def_11),X0))) = composition(join(iPr_def_10,one),composition(converse(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_17870,c_50,c_49]) ).
tcf(c_17888,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_16940,c_52]) ).
tcf(c_17892,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(X0,complement(composition(converse(X0),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_55,c_17888]) ).
tcf(c_17893,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(join(converse(X0),X1),complement(composition(join(converse(X1),X0),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_985,c_17888]) ).
tcf(c_17894,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_221,c_17888]) ).
tcf(c_17895,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(join(X0,converse(X1)),complement(composition(join(X1,converse(X0)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_765,c_17888]) ).
tcf(c_17896,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(join(converse(X0),X1),complement(composition(join(X0,converse(X1)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_222,c_17888]) ).
tcf(c_17897,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(composition(X0,converse(X1)),complement(composition(composition(X1,converse(X0)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_225,c_17888]) ).
tcf(c_17898,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(composition(converse(X0),X1),complement(composition(composition(converse(X1),X0),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_226,c_17888]) ).
tcf(c_17900,plain,
join(iPr_def_11,composition(top,composition(zero,complement(composition(zero,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1950,c_17888]) ).
tcf(c_17901,plain,
join(iPr_def_11,composition(top,composition(one,complement(composition(one,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1689,c_17888]) ).
tcf(c_17902,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(join(one,converse(X0)),complement(composition(join(one,X0),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1723,c_17888]) ).
tcf(c_17903,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(join(one,converse(X0)),complement(composition(join(X0,one),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1729,c_17888]) ).
tcf(c_17904,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(composition(converse(X0),top),complement(composition(composition(top,X0),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2357,c_17888]) ).
tcf(c_17905,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(composition(top,converse(X0)),complement(composition(composition(X0,top),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2354,c_17888]) ).
tcf(c_17906,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(composition(top,converse(join(iPr_def_10,X0))),complement(composition(join(iPr_def_10,composition(X0,top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16911,c_17888]) ).
tcf(c_17907,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,composition(top,iPr_def_10))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_52,c_17888]) ).
tcf(c_17908,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_11),complement(composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_382,c_17888]) ).
tcf(c_17909,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_383,c_17888]) ).
tcf(c_17910,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,X0),composition(top,composition(top,iPr_def_10))))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_445,c_17888]) ).
tcf(c_17911,plain,
join(iPr_def_11,composition(top,composition(converse(one),complement(composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1708,c_17888]) ).
tcf(c_17912,plain,
join(iPr_def_11,composition(top,composition(converse(zero),complement(zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8217,c_17888]) ).
tcf(c_17913,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_12),complement(composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11840,c_17888]) ).
tcf(c_17914,plain,
join(iPr_def_11,composition(top,composition(converse(complement(iPr_def_12)),complement(composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15252,c_17888]) ).
tcf(c_17916,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_17888,c_375]) ).
tcf(c_17917,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_17888,c_50]) ).
tcf(c_17918,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(top,composition(converse(X1),complement(composition(X1,composition(top,iPr_def_10))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_17888,c_191]) ).
tcf(c_17925,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_17888,c_11158]) ).
tcf(c_17927,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_17888,c_391]) ).
tcf(c_17934,plain,
join(iPr_def_11,composition(top,composition(zero,top))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_17912,c_1431,c_1950]) ).
tcf(c_17935,plain,
join(iPr_def_11,composition(top,composition(one,complement(composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_17911,c_1689]) ).
tcf(c_17936,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_17916,c_50,c_49]) ).
tcf(c_17937,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))))) = top,
inference(light_normalisation,[status(thm)],[c_17936,c_1671]) ).
tcf(c_17938,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_17937,c_50,c_49]) ).
tcf(c_17940,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_17927,c_116]) ).
tcf(c_17941,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10)))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_17925,c_50,c_49]) ).
tcf(c_17943,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(composition(top,converse(join(iPr_def_10,X0))),complement(composition(join(iPr_def_10,X0),composition(top,composition(top,iPr_def_10))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_17910,c_16911]) ).
tcf(c_17969,plain,
! [X0: $i] : composition(top,composition(top,converse(join(iPr_def_10,X0)))) = composition(top,converse(join(iPr_def_10,X0))),
inference(light_normalisation,[status(thm)],[c_16968,c_16911]) ).
tcf(c_17979,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,iPr_def_11))),join(complement(join(iPr_def_11,complement(join(X0,X1)))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_50,c_369]) ).
tcf(c_17981,plain,
! [X0: $i] : join(complement(top),join(complement(join(iPr_def_11,complement(iPr_def_10))),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_209,c_369]) ).
tcf(c_17984,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(X1,complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_49,c_369]) ).
tcf(c_17987,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(join(iPr_def_11,complement(X0))))) = join(complement(join(X0,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_59,c_369]) ).
tcf(c_17988,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,join(iPr_def_11,complement(X1)))))) = join(complement(join(X1,iPr_def_11)),complement(join(iPr_def_11,complement(X1)))),
inference(superposition,[status(thm)],[c_76,c_369]) ).
tcf(c_17989,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_11)),join(X1,join(complement(join(iPr_def_11,complement(X0))),X2))) = join(iPr_def_10,join(X1,X2)),
inference(superposition,[status(thm)],[c_191,c_369]) ).
tcf(c_17990,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(X0,complement(composition(converse(X0),join(iPr_def_11,complement(X1)))))) = join(complement(join(X1,iPr_def_11)),complement(join(iPr_def_11,complement(X1)))),
inference(superposition,[status(thm)],[c_350,c_369]) ).
tcf(c_17991,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(complement(join(iPr_def_11,complement(X1))),X0)))) = join(complement(join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_375,c_369]) ).
tcf(c_17992,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(complement(join(iPr_def_11,complement(X0)))),X1)) = join(complement(join(X0,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_7124,c_369]) ).
tcf(c_17993,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,join(iPr_def_11,complement(X1))))),X2)) = join(complement(join(X1,iPr_def_11)),join(complement(join(iPr_def_11,complement(X1))),X2)),
inference(superposition,[status(thm)],[c_362,c_369]) ).
tcf(c_17994,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7015,c_369]) ).
tcf(c_17995,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0)))) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_1429,c_369]) ).
tcf(c_17996,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(complement(join(iPr_def_11,complement(X0))))))) = join(complement(join(X0,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_2345,c_369]) ).
tcf(c_17997,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0)))) = join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))),
inference(superposition,[status(thm)],[c_7769,c_369]) ).
tcf(c_17998,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),composition(join(X1,one),complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,composition(X1,complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_1782,c_369]) ).
tcf(c_17999,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),composition(join(one,X1),complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,composition(X1,complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_1767,c_369]) ).
tcf(c_18000,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(complement(join(iPr_def_11,complement(X1)))))) = join(complement(join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_7426,c_369]) ).
tcf(c_18001,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),X1)) = join(iPr_def_10,join(complement(join(iPr_def_11,complement(X0))),X1)),
inference(superposition,[status(thm)],[c_7878,c_369]) ).
tcf(c_18002,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = join(complement(join(X0,iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_8543,c_369]) ).
tcf(c_18003,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),composition(top,complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,composition(complement(one),complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_11631,c_369]) ).
tcf(c_18004,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(complement(join(iPr_def_11,complement(X0)))))) = join(complement(join(X0,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_11752,c_369]) ).
tcf(c_18005,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(complement(join(iPr_def_11,complement(X2))))))) = join(complement(join(X2,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_12833,c_369]) ).
tcf(c_18006,plain,
! [X0: $i] : join(iPr_def_10,composition(top,join(iPr_def_11,complement(X0)))) = join(complement(join(X0,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_14135,c_369]) ).
tcf(c_18009,plain,
! [X0: $i,X1: $i] : join(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1888,c_369]) ).
tcf(c_18011,plain,
! [X0: $i,X1: $i] : join(complement(join(join(X0,join(iPr_def_11,X0)),iPr_def_11)),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_11158,c_369]) ).
tcf(c_18018,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(iPr_def_10,X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_369,c_7878]) ).
tcf(c_18019,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(join(complement(join(iPr_def_11,complement(X0))),X1),complement(join(iPr_def_10,X1)))) = top,
inference(superposition,[status(thm)],[c_369,c_375]) ).
tcf(c_18023,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_11)),join(X1,join(complement(join(iPr_def_11,complement(X0))),X2))) = join(X1,join(iPr_def_10,X2)),
inference(superposition,[status(thm)],[c_369,c_191]) ).
tcf(c_18024,plain,
! [X0: $i] : join(iPr_def_10,complement(join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0)))))) = top,
inference(superposition,[status(thm)],[c_369,c_375]) ).
tcf(c_18028,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(join(X0,iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_369,c_7426]) ).
tcf(c_18036,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(complement(join(X1,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_369,c_12833]) ).
tcf(c_18041,plain,
! [X0: $i] : join(top,complement(join(X0,iPr_def_11))) = join(iPr_def_10,top),
inference(theory_normalisation,[status(thm)],[c_17994,c_50,c_49]) ).
tcf(c_18042,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_18018,c_50,c_49]) ).
tcf(c_18054,plain,
! [X0: $i] : join(iPr_def_10,composition(top,join(iPr_def_11,complement(X0)))) = join(top,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_18006,c_50,c_49]) ).
tcf(c_18056,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(join(iPr_def_11,complement(X0))))) = join(top,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_17987,c_50,c_49]) ).
tcf(c_18060,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(complement(join(iPr_def_11,complement(X0)))))) = join(top,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_18004,c_50,c_49]) ).
tcf(c_18061,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = join(iPr_def_10,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_18002,c_50,c_49]) ).
tcf(c_18063,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(complement(join(iPr_def_11,complement(X1)))))) = join(top,complement(join(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_18000,c_50,c_49]) ).
tcf(c_18064,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(complement(join(iPr_def_11,complement(X0))))))) = join(top,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_17996,c_50,c_49]) ).
tcf(c_18065,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(complement(join(iPr_def_11,complement(X0)))),X1)) = join(top,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_17992,c_50,c_49]) ).
tcf(c_18066,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),join(X1,complement(join(iPr_def_10,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_18019,c_50,c_49]) ).
tcf(c_18067,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(complement(join(iPr_def_11,complement(X2))))))) = join(top,complement(join(X2,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_18005,c_50,c_49]) ).
tcf(c_18068,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(complement(join(iPr_def_11,complement(X1))),X0)))) = join(top,complement(join(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_17991,c_50,c_49]) ).
tcf(c_18071,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),join(X1,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_11)))))) = join(iPr_def_10,X1),
inference(theory_normalisation,[status(thm)],[c_18011,c_50,c_49]) ).
tcf(c_18072,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),join(X1,complement(join(X0,join(X0,iPr_def_11))))) = join(iPr_def_10,X1),
inference(light_normalisation,[status(thm)],[c_18071,c_2326]) ).
tcf(c_18074,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(X0))),join(X1,complement(join(X0,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))) = join(iPr_def_10,X1),
inference(theory_normalisation,[status(thm)],[c_18009,c_50,c_49]) ).
tcf(c_18083,plain,
! [X0: $i] : composition(join(complement(X0),one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_362,c_17745]) ).
tcf(c_18096,plain,
composition(join(iPr_def_11,one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12338,c_17745]) ).
tcf(c_18097,plain,
composition(join(complement(iPr_def_12),one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_17745]) ).
tcf(c_18098,plain,
composition(join(iPr_def_10,one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13393,c_17745]) ).
tcf(c_18104,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,one))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_17745]) ).
tcf(c_18106,plain,
! [X0: $i] : composition(join(X0,top),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7096,c_17745]) ).
tcf(c_18108,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,one)),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17745,c_433]) ).
tcf(c_18109,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,one)),X2),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17745,c_54]) ).
tcf(c_18110,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,one)),composition(converse(iPr_def_10),X2)) = composition(converse(iPr_def_10),X2),
inference(superposition,[status(thm)],[c_17745,c_52]) ).
tcf(c_18111,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,one))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_54]) ).
tcf(c_18112,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,join(X1,one))),complement(converse(iPr_def_10))),X2)) = join(complement(converse(iPr_def_10)),X2),
inference(superposition,[status(thm)],[c_17745,c_362]) ).
tcf(c_18113,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,one)),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_1782]) ).
tcf(c_18114,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,one))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_1767]) ).
tcf(c_18115,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,join(X1,one))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_76]) ).
tcf(c_18116,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,converse(join(X0,join(X1,one)))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_225]) ).
tcf(c_18118,plain,
composition(join(one,complement(iPr_def_12)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_18097,c_50,c_49]) ).
tcf(c_18119,plain,
! [X0: $i] : composition(join(one,complement(X0)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_18083,c_50,c_49]) ).
tcf(c_18121,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,join(one,converse(join(X0,X1)))) = converse(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_18116,c_2291]) ).
tcf(c_18122,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,one))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_18113,c_50,c_49]) ).
tcf(c_18123,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(join(one,converse(join(X0,X1))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_18115,c_2291]) ).
tcf(c_18124,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,one))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_18111,c_50,c_49]) ).
tcf(c_18125,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(one,X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_18109,c_50,c_49]) ).
tcf(c_18126,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),join(composition(join(one,converse(join(X0,X1))),complement(converse(iPr_def_10))),X2)) = join(complement(converse(iPr_def_10)),X2),
inference(light_normalisation,[status(thm)],[c_18112,c_2291]) ).
tcf(c_18129,plain,
composition(top,composition(converse(iPr_def_12),top)) = composition(converse(iPr_def_12),top),
inference(superposition,[status(thm)],[c_2357,c_17788]) ).
tcf(c_18130,plain,
! [X0: $i,X1: $i] : composition(top,converse(composition(X0,composition(X1,iPr_def_12)))) = converse(composition(X0,composition(X1,iPr_def_12))),
inference(superposition,[status(thm)],[c_52,c_17788]) ).
tcf(c_18133,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_12,composition(X0,iPr_def_12)))) = converse(join(iPr_def_12,composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_1767,c_17788]) ).
tcf(c_18139,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(composition(X0,iPr_def_12))),complement(composition(top,composition(converse(composition(X0,iPr_def_12)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17788,c_433]) ).
tcf(c_18140,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_12)),composition(X1,converse(composition(X0,iPr_def_12)))) = composition(join(top,X1),converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_54]) ).
tcf(c_18141,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_17788,c_52]) ).
tcf(c_18142,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(composition(X1,iPr_def_12))),converse(composition(X1,iPr_def_12))) = composition(join(X0,top),converse(composition(X1,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_54]) ).
tcf(c_18143,plain,
! [X0: $i,X1: $i] : join(complement(converse(composition(X0,iPr_def_12))),join(composition(converse(top),complement(converse(composition(X0,iPr_def_12)))),X1)) = join(complement(converse(composition(X0,iPr_def_12))),X1),
inference(superposition,[status(thm)],[c_17788,c_362]) ).
tcf(c_18145,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_12)),converse(composition(X0,iPr_def_12))) = composition(join(one,top),converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_1767]) ).
tcf(c_18146,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_12))),composition(converse(top),complement(converse(composition(X0,iPr_def_12))))) = complement(converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_76]) ).
tcf(c_18147,plain,
! [X0: $i] : composition(composition(X0,iPr_def_12),converse(top)) = converse(converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_225]) ).
tcf(c_18148,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_12))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,converse(composition(X0,iPr_def_12)))))) = complement(converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_428]) ).
tcf(c_18149,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_12))),converse(composition(X0,iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_17788,c_14135]) ).
tcf(c_18150,plain,
! [X0: $i] : composition(complement(iPr_def_12),converse(composition(X0,iPr_def_12))) = composition(iPr_def_10,converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_15252]) ).
tcf(c_18151,plain,
! [X0: $i] : composition(converse(converse(composition(X0,iPr_def_12))),top) = converse(converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_2357]) ).
tcf(c_18152,plain,
! [X0: $i] : composition(iPr_def_11,converse(composition(X0,iPr_def_12))) = composition(iPr_def_12,converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_382]) ).
tcf(c_18153,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_12)),complement(converse(composition(X0,iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_18149,c_50,c_49]) ).
tcf(c_18154,plain,
! [X0: $i] : composition(composition(X0,iPr_def_12),top) = converse(converse(composition(X0,iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_18147,c_2343]) ).
tcf(c_18155,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_12)),converse(composition(X0,iPr_def_12))) = composition(join(top,one),converse(composition(X0,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_18145,c_50,c_49]) ).
tcf(c_18156,plain,
! [X0: $i] : join(complement(converse(composition(X0,iPr_def_12))),composition(top,complement(converse(composition(X0,iPr_def_12))))) = complement(converse(composition(X0,iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_18146,c_2343]) ).
tcf(c_18157,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_12)),composition(X1,converse(composition(X0,iPr_def_12)))) = composition(join(X1,top),converse(composition(X0,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_18142,c_50,c_49]) ).
tcf(c_18158,plain,
! [X0: $i,X1: $i] : join(complement(converse(composition(X0,iPr_def_12))),join(composition(top,complement(converse(composition(X0,iPr_def_12)))),X1)) = join(complement(converse(composition(X0,iPr_def_12))),X1),
inference(light_normalisation,[status(thm)],[c_18143,c_2343]) ).
tcf(c_18160,plain,
! [X0: $i] : join(zero,composition(X0,iPr_def_11)) = composition(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_1928,c_16858]) ).
tcf(c_18164,plain,
join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),complement(top))) = top,
inference(superposition,[status(thm)],[c_17003,c_375]) ).
tcf(c_18165,plain,
! [X0: $i] : join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_17003,c_50]) ).
tcf(c_18166,plain,
! [X0: $i] : join(converse(iPr_def_12),join(X0,complement(converse(iPr_def_11)))) = join(X0,top),
inference(superposition,[status(thm)],[c_17003,c_191]) ).
tcf(c_18169,plain,
join(iPr_def_11,composition(join(iPr_def_12,converse(complement(converse(iPr_def_11)))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17003,c_776]) ).
tcf(c_18171,plain,
join(iPr_def_12,converse(complement(converse(iPr_def_11)))) = converse(top),
inference(superposition,[status(thm)],[c_17003,c_221]) ).
tcf(c_18172,plain,
! [X0: $i] : join(converse(iPr_def_11),join(X0,top)) = top,
inference(superposition,[status(thm)],[c_17003,c_12833]) ).
tcf(c_18175,plain,
! [X0: $i] : join(top,join(X0,converse(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_18172,c_50,c_49]) ).
tcf(c_18176,plain,
join(iPr_def_12,converse(complement(converse(iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_18171,c_2343]) ).
tcf(c_18179,plain,
join(complement(top),join(converse(iPr_def_12),complement(converse(iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_18164,c_50,c_49]) ).
tcf(c_18181,plain,
! [X0: $i] : join(converse(iPr_def_12),join(X0,complement(converse(iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_18166,c_7015]) ).
tcf(c_18182,plain,
! [X0: $i] : join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_18165,c_7096]) ).
tcf(c_18183,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_12),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17360,c_433]) ).
tcf(c_18184,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_11)) = composition(join(converse(iPr_def_12),X0),iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_54]) ).
tcf(c_18185,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_11,X0)) = composition(composition(top,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_17360,c_52]) ).
tcf(c_18186,plain,
! [X0: $i] : join(composition(X0,iPr_def_11),composition(top,iPr_def_11)) = composition(join(X0,converse(iPr_def_12)),iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_54]) ).
tcf(c_18187,plain,
! [X0: $i] : join(complement(iPr_def_11),join(composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11))),X0)) = join(complement(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_17360,c_362]) ).
tcf(c_18188,plain,
join(complement(iPr_def_11),composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_76]) ).
tcf(c_18189,plain,
join(complement(iPr_def_11),composition(iPr_def_12,complement(composition(top,iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_350]) ).
tcf(c_18190,plain,
composition(converse(iPr_def_11),iPr_def_12) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_17360,c_226]) ).
tcf(c_18191,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_12)),composition(complement(composition(top,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17360,c_1679]) ).
tcf(c_18192,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17360,c_1680]) ).
tcf(c_18193,plain,
join(iPr_def_10,composition(iPr_def_12,complement(composition(top,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17360,c_11899]) ).
tcf(c_18194,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),iPr_def_11)) = composition(iPr_def_10,composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_17360,c_17451]) ).
tcf(c_18195,plain,
composition(top,composition(top,iPr_def_11)) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_17470]) ).
tcf(c_18199,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_18186,c_16899]) ).
tcf(c_18200,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_18184,c_16900]) ).
tcf(c_18201,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11))),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_18187,c_1671]) ).
tcf(c_18202,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_11),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_17362,c_433]) ).
tcf(c_18203,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_11)) = composition(join(converse(iPr_def_11),X0),iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_54]) ).
tcf(c_18204,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_11,X0)) = composition(composition(top,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_17362,c_52]) ).
tcf(c_18205,plain,
! [X0: $i] : join(composition(X0,iPr_def_11),composition(top,iPr_def_11)) = composition(join(X0,converse(iPr_def_11)),iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_54]) ).
tcf(c_18206,plain,
! [X0: $i] : join(complement(iPr_def_11),join(composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11))),X0)) = join(complement(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_17362,c_362]) ).
tcf(c_18207,plain,
join(complement(iPr_def_11),composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_76]) ).
tcf(c_18208,plain,
join(complement(iPr_def_11),composition(iPr_def_11,complement(composition(top,iPr_def_11)))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_350]) ).
tcf(c_18209,plain,
converse(composition(top,iPr_def_11)) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_226]) ).
tcf(c_18210,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_11)),composition(complement(composition(top,iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17362,c_1679]) ).
tcf(c_18211,plain,
join(iPr_def_10,composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17362,c_1680]) ).
tcf(c_18212,plain,
join(iPr_def_10,composition(iPr_def_11,complement(composition(top,iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17362,c_11899]) ).
tcf(c_18213,plain,
composition(top,composition(top,iPr_def_11)) = composition(converse(iPr_def_12),iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_16989]) ).
tcf(c_18217,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_18205,c_16899]) ).
tcf(c_18218,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_18203,c_16900]) ).
tcf(c_18219,plain,
join(iPr_def_11,composition(composition(converse(iPr_def_11),iPr_def_12),complement(composition(converse(iPr_def_11),composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18202,c_18190]) ).
tcf(c_18220,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11))),X0)) = join(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_18206,c_1671]) ).
tcf(c_18222,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(demodulation,[status(thm)],[c_12987,c_52,c_7878,c_17647]) ).
tcf(c_18223,plain,
! [X0: $i] : composition(top,composition(converse(join(X0,join(iPr_def_10,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_191,c_18222]) ).
tcf(c_18225,plain,
composition(top,composition(converse(top),complement(join(iPr_def_10,composition(complement(iPr_def_10),top))))) = zero,
inference(superposition,[status(thm)],[c_7124,c_18222]) ).
tcf(c_18226,plain,
composition(top,composition(converse(top),complement(join(iPr_def_10,composition(iPr_def_11,top))))) = zero,
inference(superposition,[status(thm)],[c_7123,c_18222]) ).
tcf(c_18227,plain,
composition(top,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(iPr_def_10,top))))) = zero,
inference(superposition,[status(thm)],[c_7878,c_18222]) ).
tcf(c_18228,plain,
composition(top,composition(converse(top),complement(join(iPr_def_10,composition(iPr_def_12,top))))) = zero,
inference(superposition,[status(thm)],[c_11838,c_18222]) ).
tcf(c_18229,plain,
composition(top,composition(converse(top),complement(join(iPr_def_10,composition(composition(top,iPr_def_11),top))))) = zero,
inference(superposition,[status(thm)],[c_11990,c_18222]) ).
tcf(c_18230,plain,
composition(top,composition(converse(top),complement(join(iPr_def_10,composition(composition(top,iPr_def_12),top))))) = zero,
inference(superposition,[status(thm)],[c_12210,c_18222]) ).
tcf(c_18231,plain,
composition(top,composition(converse(join(complement(iPr_def_12),iPr_def_10)),complement(join(iPr_def_10,composition(complement(iPr_def_12),top))))) = zero,
inference(superposition,[status(thm)],[c_13165,c_18222]) ).
tcf(c_18232,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top))))) = zero,
inference(superposition,[status(thm)],[c_13393,c_18222]) ).
tcf(c_18233,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,X0))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_49,c_18222]) ).
tcf(c_18235,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(X1,iPr_def_10)))),complement(join(iPr_def_10,composition(join(X0,X1),top))))) = zero,
inference(superposition,[status(thm)],[c_50,c_18222]) ).
tcf(c_18236,plain,
composition(top,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(zero,top))))) = zero,
inference(superposition,[status(thm)],[c_1336,c_18222]) ).
tcf(c_18237,plain,
composition(top,composition(converse(join(iPr_def_10,top)),complement(join(iPr_def_10,composition(top,top))))) = zero,
inference(superposition,[status(thm)],[c_7096,c_18222]) ).
tcf(c_18238,plain,
composition(top,composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(iPr_def_10,top))))) = zero,
inference(superposition,[status(thm)],[c_7769,c_18222]) ).
tcf(c_18239,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(complement(join(iPr_def_11,X0)),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13315,c_18222]) ).
tcf(c_18240,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(complement(join(X0,iPr_def_11)),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13389,c_18222]) ).
tcf(c_18241,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(complement(join(X0,join(iPr_def_11,X1))),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13365,c_18222]) ).
tcf(c_18242,plain,
composition(top,composition(converse(join(iPr_def_10,join(complement(composition(top,iPr_def_11)),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13387,c_18222]) ).
tcf(c_18243,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(composition(complement(join(iPr_def_11,X0)),top),X1),iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_16170,c_18222]) ).
tcf(c_18244,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),iPr_def_10))),complement(composition(complement(composition(iPr_def_12,X0)),top)))) = zero,
inference(superposition,[status(thm)],[c_16092,c_18222]) ).
tcf(c_18245,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),iPr_def_10))),complement(composition(complement(composition(iPr_def_11,X0)),top)))) = zero,
inference(superposition,[status(thm)],[c_16108,c_18222]) ).
tcf(c_18246,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(composition(X0,X1),iPr_def_10))),complement(join(iPr_def_10,composition(X0,composition(X1,top)))))) = zero,
inference(superposition,[status(thm)],[c_52,c_18222]) ).
tcf(c_18247,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_11,iPr_def_10))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(superposition,[status(thm)],[c_116,c_18222]) ).
tcf(c_18248,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,iPr_def_10))),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_193,c_18222]) ).
tcf(c_18249,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(iPr_def_11,X0),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_391,c_18222]) ).
tcf(c_18250,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(iPr_def_10,X0),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_392,c_18222]) ).
tcf(c_18251,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(X0,iPr_def_11),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_402,c_18222]) ).
tcf(c_18252,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(X0,iPr_def_10),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_401,c_18222]) ).
tcf(c_18253,plain,
composition(top,composition(converse(join(iPr_def_10,join(top,iPr_def_10))),complement(join(iPr_def_10,top)))) = zero,
inference(superposition,[status(thm)],[c_11762,c_18222]) ).
tcf(c_18254,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(iPr_def_10,composition(X0,top)),iPr_def_10))),complement(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top)))))) = zero,
inference(superposition,[status(thm)],[c_445,c_18222]) ).
tcf(c_18255,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(X0,join(iPr_def_10,X1)),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))))) = zero,
inference(superposition,[status(thm)],[c_9109,c_18222]) ).
tcf(c_18256,plain,
composition(top,composition(converse(join(iPr_def_10,join(one,iPr_def_10))),complement(join(iPr_def_10,top)))) = zero,
inference(superposition,[status(thm)],[c_1708,c_18222]) ).
tcf(c_18257,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_12,iPr_def_10))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(superposition,[status(thm)],[c_11779,c_18222]) ).
tcf(c_18258,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(one,X0),iPr_def_10))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_1767,c_18222]) ).
tcf(c_18259,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(X0,one),iPr_def_10))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_1782,c_18222]) ).
tcf(c_18260,plain,
composition(top,composition(converse(join(iPr_def_10,join(zero,iPr_def_10))),complement(join(iPr_def_10,zero)))) = zero,
inference(superposition,[status(thm)],[c_8217,c_18222]) ).
tcf(c_18261,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(iPr_def_12,X0),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_11839,c_18222]) ).
tcf(c_18262,plain,
composition(top,composition(converse(join(iPr_def_10,join(complement(iPr_def_12),iPr_def_10))),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_15143,c_18222]) ).
tcf(c_18263,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(X0,iPr_def_12),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_11846,c_18222]) ).
tcf(c_18264,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(top,composition(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18222,c_433]) ).
tcf(c_18265,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))) = composition(join(top,X0),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(superposition,[status(thm)],[c_18222,c_54]) ).
tcf(c_18266,plain,
! [X0: $i,X1: $i] : composition(top,composition(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_18222,c_52]) ).
tcf(c_18267,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),zero) = composition(join(X0,top),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(superposition,[status(thm)],[c_18222,c_54]) ).
tcf(c_18268,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),join(composition(converse(top),complement(zero)),X1)) = join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),X1),
inference(superposition,[status(thm)],[c_18222,c_362]) ).
tcf(c_18270,plain,
! [X0: $i] : composition(join(one,top),composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = join(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),zero),
inference(superposition,[status(thm)],[c_18222,c_1767]) ).
tcf(c_18271,plain,
! [X0: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),composition(converse(top),complement(zero))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_18222,c_76]) ).
tcf(c_18272,plain,
! [X0: $i] : join(complement(zero),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))))) = complement(zero),
inference(superposition,[status(thm)],[c_18222,c_428]) ).
tcf(c_18273,plain,
! [X0: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),zero) = top,
inference(superposition,[status(thm)],[c_18222,c_14135]) ).
tcf(c_18274,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = composition(complement(iPr_def_12),zero),
inference(superposition,[status(thm)],[c_18222,c_15252]) ).
tcf(c_18275,plain,
! [X0: $i] : composition(iPr_def_12,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = composition(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_18222,c_11840]) ).
tcf(c_18276,plain,
! [X0: $i] : composition(converse(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),top) = converse(zero),
inference(superposition,[status(thm)],[c_18222,c_2357]) ).
tcf(c_18277,plain,
! [X0: $i] : composition(iPr_def_12,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = composition(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_18222,c_382]) ).
tcf(c_18278,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_18222,c_383]) ).
tcf(c_18279,plain,
composition(top,composition(converse(iPr_def_10),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_18238,c_193]) ).
tcf(c_18283,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,zero))),complement(join(iPr_def_10,zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18260,c_50,c_49]) ).
tcf(c_18284,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,iPr_def_12))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18257,c_50,c_49]) ).
tcf(c_18285,plain,
composition(top,composition(converse(join(iPr_def_10,top)),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_18284,c_107,c_11774]) ).
tcf(c_18286,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,one))),complement(join(iPr_def_10,top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18256,c_50,c_49]) ).
tcf(c_18287,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,top))),complement(join(iPr_def_10,top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18253,c_50,c_49]) ).
tcf(c_18288,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18247,c_50,c_49]) ).
tcf(c_18293,plain,
composition(top,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_18227,c_193]) ).
tcf(c_18294,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(iPr_def_12)))),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18262,c_50,c_49]) ).
tcf(c_18295,plain,
composition(top,composition(converse(complement(iPr_def_12)),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_18294,c_13163]) ).
tcf(c_18296,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(composition(top,iPr_def_11))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18242,c_50,c_49]) ).
tcf(c_18297,plain,
composition(top,composition(converse(join(iPr_def_10,iPr_def_10)),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_18296,c_192,c_13295]) ).
tcf(c_18298,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(X0,iPr_def_11))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18240,c_50,c_49]) ).
tcf(c_18300,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(iPr_def_11,X0))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18239,c_50,c_49]) ).
tcf(c_18302,plain,
composition(top,composition(converse(join(iPr_def_10,complement(iPr_def_12))),complement(join(iPr_def_10,composition(complement(iPr_def_12),top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18231,c_50,c_49]) ).
tcf(c_18304,plain,
! [X0: $i] : join(zero,complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_18273,c_50,c_49]) ).
tcf(c_18305,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(X0,join(iPr_def_11,X1)))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18241,c_50,c_49]) ).
tcf(c_18307,plain,
! [X0: $i] : composition(converse(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),top) = zero,
inference(light_normalisation,[status(thm)],[c_18276,c_1950]) ).
tcf(c_18309,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_12)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18263,c_50,c_49]) ).
tcf(c_18311,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_12)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18261,c_50,c_49]) ).
tcf(c_18313,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,one)))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18259,c_50,c_49]) ).
tcf(c_18314,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,one)))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18258,c_50,c_49]) ).
tcf(c_18315,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_10)))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18252,c_50,c_49]) ).
tcf(c_18316,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_11)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18251,c_50,c_49]) ).
tcf(c_18318,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_10)))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18250,c_50,c_49]) ).
tcf(c_18319,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_11)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18249,c_50,c_49]) ).
tcf(c_18321,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,X1)))),complement(join(iPr_def_10,composition(X0,composition(X1,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18246,c_50,c_49]) ).
tcf(c_18322,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(composition(iPr_def_11,X0))))),complement(composition(complement(composition(iPr_def_11,X0)),top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18245,c_50,c_49]) ).
tcf(c_18323,plain,
! [X0: $i] : composition(top,composition(converse(complement(composition(iPr_def_11,X0))),complement(composition(complement(composition(iPr_def_11,X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_18322,c_15924]) ).
tcf(c_18324,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(composition(iPr_def_12,X0))))),complement(composition(complement(composition(iPr_def_12,X0)),top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18244,c_50,c_49]) ).
tcf(c_18325,plain,
! [X0: $i] : composition(top,composition(converse(complement(composition(iPr_def_12,X0))),complement(composition(complement(composition(iPr_def_12,X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_18324,c_15920]) ).
tcf(c_18326,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(X0,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(join(X0,X1),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_18235,c_3861]) ).
tcf(c_18327,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,composition(complement(join(iPr_def_11,X1)),top))))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18243,c_50,c_49]) ).
tcf(c_18329,plain,
! [X0: $i] : join(top,composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))))) = top,
inference(light_normalisation,[status(thm)],[c_18272,c_1431]) ).
tcf(c_18330,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(top,composition(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18264,c_1950]) ).
tcf(c_18331,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,join(X1,iPr_def_10))))),complement(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18255,c_50,c_49]) ).
tcf(c_18332,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(iPr_def_10,composition(X0,top))))),complement(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18254,c_50,c_49]) ).
tcf(c_18333,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(iPr_def_10,composition(X0,top))))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_18332,c_392,c_11762]) ).
tcf(c_18334,plain,
! [X0: $i] : composition(join(top,one),composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = join(zero,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(theory_normalisation,[status(thm)],[c_18270,c_50,c_49]) ).
tcf(c_18336,plain,
! [X0: $i] : join(composition(converse(top),complement(zero)),complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(theory_normalisation,[status(thm)],[c_18271,c_50,c_49]) ).
tcf(c_18337,plain,
! [X0: $i] : join(top,complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(light_normalisation,[status(thm)],[c_18336,c_1431,c_2343,c_11762]) ).
tcf(c_18338,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))) = composition(join(X0,top),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_18267,c_50,c_49]) ).
tcf(c_18339,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))) = composition(top,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(light_normalisation,[status(thm)],[c_18338,c_7015]) ).
tcf(c_18341,plain,
! [X0: $i,X1: $i] : join(composition(converse(top),complement(zero)),join(X0,complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))))) = join(complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X0),
inference(theory_normalisation,[status(thm)],[c_18268,c_50,c_49]) ).
tcf(c_18342,plain,
! [X0: $i,X1: $i] : join(top,join(X0,complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))))) = join(complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X0),
inference(light_normalisation,[status(thm)],[c_18341,c_1431,c_2343,c_11762]) ).
tcf(c_18366,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_10,composition(X0,top)),top)) = composition(join(iPr_def_10,composition(X0,top)),top),
inference(light_normalisation,[status(thm)],[c_15009,c_15251]) ).
tcf(c_18376,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(X0,join(complement(converse(iPr_def_11)),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_18182]) ).
tcf(c_18385,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(join(X0,one),complement(converse(iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_1782,c_18182]) ).
tcf(c_18386,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(join(one,X0),complement(converse(iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_1767,c_18182]) ).
tcf(c_18389,plain,
join(converse(iPr_def_12),composition(top,complement(converse(iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_11631,c_18182]) ).
tcf(c_18394,plain,
! [X0: $i] : join(converse(iPr_def_12),join(join(complement(converse(iPr_def_11)),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_18182,c_375]) ).
tcf(c_18395,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(join(complement(converse(iPr_def_11)),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_18182,c_50]) ).
tcf(c_18396,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(X0,join(complement(converse(iPr_def_11)),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_18182,c_191]) ).
tcf(c_18398,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_12,converse(join(complement(converse(iPr_def_11)),X0))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18182,c_776]) ).
tcf(c_18400,plain,
! [X0: $i] : join(iPr_def_12,converse(join(complement(converse(iPr_def_11)),X0))) = converse(top),
inference(superposition,[status(thm)],[c_18182,c_221]) ).
tcf(c_18419,plain,
! [X0: $i] : join(iPr_def_12,converse(join(complement(converse(iPr_def_11)),X0))) = top,
inference(light_normalisation,[status(thm)],[c_18400,c_2343]) ).
tcf(c_18422,plain,
! [X0: $i] : join(complement(top),join(X0,join(converse(iPr_def_12),complement(converse(iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_18394,c_50,c_49]) ).
tcf(c_18425,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_18395,c_50,c_49]) ).
tcf(c_18427,plain,
! [X0: $i] : join(X0,composition(top,complement(composition(top,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_7732,c_2356]) ).
tcf(c_18428,plain,
join(zero,composition(top,complement(composition(top,top)))) = zero,
inference(superposition,[status(thm)],[c_107,c_2356]) ).
tcf(c_18431,plain,
join(top,composition(top,complement(composition(top,zero)))) = top,
inference(superposition,[status(thm)],[c_1431,c_2356]) ).
tcf(c_18433,plain,
join(complement(top),composition(top,complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_11762,c_2356]) ).
tcf(c_18434,plain,
join(complement(zero),composition(top,complement(zero))) = complement(zero),
inference(superposition,[status(thm)],[c_8201,c_2356]) ).
tcf(c_18435,plain,
join(complement(complement(composition(converse(top),top))),composition(top,complement(zero))) = complement(complement(composition(converse(top),top))),
inference(superposition,[status(thm)],[c_9546,c_2356]) ).
tcf(c_18445,plain,
! [X0: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),composition(top,complement(zero))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_18222,c_2356]) ).
tcf(c_18447,plain,
! [X0: $i] : join(complement(X0),join(composition(top,complement(composition(top,X0))),complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_2356,c_375]) ).
tcf(c_18451,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,composition(top,complement(composition(top,X0))))) = join(X1,complement(X0)),
inference(superposition,[status(thm)],[c_2356,c_191]) ).
tcf(c_18452,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(composition(top,join(iPr_def_11,complement(X0)))))) = join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0)))),
inference(superposition,[status(thm)],[c_2356,c_369]) ).
tcf(c_18456,plain,
join(iPr_def_11,composition(top,complement(composition(top,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_2356,c_12338]) ).
tcf(c_18458,plain,
join(zero,composition(top,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_18433,c_107]) ).
tcf(c_18460,plain,
! [X0: $i] : join(complement(X0),join(complement(complement(X0)),composition(top,complement(composition(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_18447,c_50,c_49]) ).
tcf(c_18461,plain,
! [X0: $i] : join(complement(X0),join(X0,composition(top,complement(composition(top,X0))))) = top,
inference(light_normalisation,[status(thm)],[c_18460,c_7732]) ).
tcf(c_18462,plain,
! [X0: $i] : join(X0,join(complement(X0),composition(top,complement(composition(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_18461,c_50,c_49]) ).
tcf(c_18464,plain,
join(composition(top,complement(zero)),complement(complement(composition(converse(top),top)))) = complement(complement(composition(converse(top),top))),
inference(theory_normalisation,[status(thm)],[c_18435,c_50,c_49]) ).
tcf(c_18466,plain,
join(iPr_def_11,composition(top,complement(composition(top,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_18456,c_12393]) ).
tcf(c_18467,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(composition(top,join(iPr_def_11,complement(X0)))))) = join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))),
inference(light_normalisation,[status(thm)],[c_18452,c_17997]) ).
tcf(c_18468,plain,
! [X0: $i] : join(composition(top,complement(zero)),complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(theory_normalisation,[status(thm)],[c_18445,c_50,c_49]) ).
tcf(c_18471,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),iPr_def_10) = composition(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_3197,c_1336]) ).
tcf(c_18473,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),iPr_def_10) = composition(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_18471]) ).
tcf(c_18476,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,X0)),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(superposition,[status(thm)],[c_56,c_18471]) ).
tcf(c_18477,plain,
composition(complement(converse(iPr_def_11)),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_59,c_18471]) ).
tcf(c_18478,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_11),X1)),iPr_def_10) = composition(join(X0,X1),iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_18471]) ).
tcf(c_18479,plain,
! [X0: $i] : composition(join(X0,complement(join(converse(iPr_def_11),X0))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_375,c_18471]) ).
tcf(c_18480,plain,
! [X0: $i] : composition(join(complement(converse(iPr_def_11)),X0),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_7124,c_18471]) ).
tcf(c_18481,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(zero,iPr_def_10),
inference(superposition,[status(thm)],[c_1429,c_18471]) ).
tcf(c_18482,plain,
composition(converse(complement(converse(converse(iPr_def_11)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_2345,c_18471]) ).
tcf(c_18483,plain,
! [X0: $i] : composition(composition(join(X0,one),converse(iPr_def_11)),iPr_def_10) = composition(composition(X0,converse(iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_18471]) ).
tcf(c_18484,plain,
! [X0: $i] : composition(composition(join(one,X0),converse(iPr_def_11)),iPr_def_10) = composition(composition(X0,converse(iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_18471]) ).
tcf(c_18485,plain,
! [X0: $i] : composition(join(X0,complement(converse(iPr_def_11))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_7426,c_18471]) ).
tcf(c_18486,plain,
composition(composition(complement(one),converse(iPr_def_11)),iPr_def_10) = composition(composition(top,converse(iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_11631,c_18471]) ).
tcf(c_18487,plain,
composition(composition(top,complement(converse(iPr_def_11))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_11752,c_18471]) ).
tcf(c_18488,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(converse(iPr_def_11)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_12833,c_18471]) ).
tcf(c_18489,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_10)),complement(composition(join(converse(iPr_def_11),X0),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18471,c_433]) ).
tcf(c_18490,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(iPr_def_11),X0),X1),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_18471,c_54]) ).
tcf(c_18491,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),X0),composition(iPr_def_10,X1)) = composition(composition(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18471,c_52]) ).
tcf(c_18492,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_11),X1)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_18471,c_54]) ).
tcf(c_18493,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(join(converse(iPr_def_11),X0)),complement(composition(X0,iPr_def_10))),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18471,c_362]) ).
tcf(c_18494,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(join(converse(iPr_def_11),X0)),complement(composition(X0,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18471,c_76]) ).
tcf(c_18496,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(converse(iPr_def_11),X0)),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18471,c_14347]) ).
tcf(c_18497,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(join(converse(iPr_def_11),X0)),complement(composition(X0,iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_18471,c_434]) ).
tcf(c_18498,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(converse(iPr_def_11),X0)),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18471,c_349]) ).
tcf(c_18499,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(join(converse(iPr_def_11),X1)),complement(composition(X1,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_18471,c_9023]) ).
tcf(c_18500,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,join(converse(iPr_def_11),X1))),complement(composition(X0,composition(X1,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18471,c_433]) ).
tcf(c_18501,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_11,converse(X0)),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18471,c_776]) ).
tcf(c_18502,plain,
join(iPr_def_10,composition(converse(iPr_def_11),iPr_def_10)) = composition(one,iPr_def_10),
inference(superposition,[status(thm)],[c_18471,c_1782]) ).
tcf(c_18504,plain,
join(iPr_def_10,zero) = composition(one,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_18502,c_3196]) ).
tcf(c_18505,plain,
composition(composition(complement(one),converse(iPr_def_11)),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_18486,c_7459,c_16908]) ).
tcf(c_18507,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),join(X0,X1)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_18490,c_50,c_49]) ).
tcf(c_18509,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_10)),complement(composition(complement(converse(iPr_def_11)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18477,c_433]) ).
tcf(c_18510,plain,
! [X0: $i] : join(composition(top,iPr_def_10),composition(X0,iPr_def_10)) = composition(join(complement(converse(iPr_def_11)),X0),iPr_def_10),
inference(superposition,[status(thm)],[c_18477,c_54]) ).
tcf(c_18511,plain,
! [X0: $i] : composition(complement(converse(iPr_def_11)),composition(iPr_def_10,X0)) = composition(composition(top,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_18477,c_52]) ).
tcf(c_18512,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(top,iPr_def_10)) = composition(join(X0,complement(converse(iPr_def_11))),iPr_def_10),
inference(superposition,[status(thm)],[c_18477,c_54]) ).
tcf(c_18513,plain,
! [X0: $i] : join(complement(iPr_def_10),join(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),X0)) = join(complement(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_18477,c_362]) ).
tcf(c_18514,plain,
join(complement(iPr_def_10),composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18477,c_76]) ).
tcf(c_18515,plain,
composition(top,converse(composition(top,iPr_def_10))) = converse(composition(top,iPr_def_10)),
inference(superposition,[status(thm)],[c_18477,c_17604]) ).
tcf(c_18516,plain,
join(iPr_def_11,composition(converse(complement(converse(iPr_def_11))),composition(top,complement(composition(top,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18477,c_14347]) ).
tcf(c_18517,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_18477,c_434]) ).
tcf(c_18518,plain,
join(iPr_def_11,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18477,c_349]) ).
tcf(c_18519,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_18477,c_9023]) ).
tcf(c_18520,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,complement(converse(iPr_def_11)))),complement(composition(X0,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18477,c_433]) ).
tcf(c_18522,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(top,iPr_def_10)) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_18512,c_18485]) ).
tcf(c_18523,plain,
! [X0: $i] : join(composition(top,iPr_def_10),composition(X0,iPr_def_10)) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_18510,c_18480]) ).
tcf(c_18526,plain,
join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),complement(top))) = top,
inference(superposition,[status(thm)],[c_18176,c_375]) ).
tcf(c_18527,plain,
! [X0: $i] : join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_18176,c_50]) ).
tcf(c_18528,plain,
! [X0: $i] : join(iPr_def_12,join(X0,converse(complement(converse(iPr_def_11))))) = join(X0,top),
inference(superposition,[status(thm)],[c_18176,c_191]) ).
tcf(c_18530,plain,
join(iPr_def_11,composition(top,complement(composition(join(converse(iPr_def_12),complement(converse(iPr_def_11))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18176,c_776]) ).
tcf(c_18532,plain,
join(converse(iPr_def_12),complement(converse(iPr_def_11))) = converse(top),
inference(superposition,[status(thm)],[c_18176,c_222]) ).
tcf(c_18540,plain,
join(iPr_def_12,join(complement(top),converse(complement(converse(iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_18526,c_50,c_49]) ).
tcf(c_18542,plain,
! [X0: $i] : join(iPr_def_12,join(X0,converse(complement(converse(iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_18528,c_7015]) ).
tcf(c_18543,plain,
! [X0: $i] : join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),X0)) = top,
inference(light_normalisation,[status(thm)],[c_18527,c_7096]) ).
tcf(c_18545,plain,
composition(converse(iPr_def_11),top) = composition(top,iPr_def_11),
inference(demodulation,[status(thm)],[c_18209,c_2357]) ).
tcf(c_18546,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_11),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18545,c_433]) ).
tcf(c_18547,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,top)) = composition(join(converse(iPr_def_11),X0),top),
inference(superposition,[status(thm)],[c_18545,c_54]) ).
tcf(c_18548,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(top,X0)) = composition(composition(top,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_18545,c_52]) ).
tcf(c_18549,plain,
! [X0: $i] : join(composition(X0,top),composition(top,iPr_def_11)) = composition(join(X0,converse(iPr_def_11)),top),
inference(superposition,[status(thm)],[c_18545,c_54]) ).
tcf(c_18550,plain,
! [X0: $i] : join(complement(top),join(composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11))),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_18545,c_362]) ).
tcf(c_18551,plain,
join(complement(top),composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11)))) = complement(top),
inference(superposition,[status(thm)],[c_18545,c_76]) ).
tcf(c_18552,plain,
join(complement(top),composition(iPr_def_11,complement(composition(top,iPr_def_11)))) = complement(top),
inference(superposition,[status(thm)],[c_18545,c_350]) ).
tcf(c_18553,plain,
composition(converse(top),iPr_def_11) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_18545,c_226]) ).
tcf(c_18554,plain,
composition(top,composition(converse(join(iPr_def_10,join(converse(iPr_def_11),iPr_def_10))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(superposition,[status(thm)],[c_18545,c_18222]) ).
tcf(c_18555,plain,
composition(top,converse(join(iPr_def_10,converse(iPr_def_11)))) = converse(join(iPr_def_10,composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18545,c_16911]) ).
tcf(c_18556,plain,
composition(top,converse(converse(iPr_def_11))) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_18545,c_2354]) ).
tcf(c_18557,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(iPr_def_11)),composition(top,X0)) = composition(join(iPr_def_10,composition(top,iPr_def_11)),X0),
inference(superposition,[status(thm)],[c_18545,c_445]) ).
tcf(c_18558,plain,
composition(converse(join(iPr_def_10,converse(iPr_def_11))),complement(join(iPr_def_10,composition(top,iPr_def_11)))) = zero,
inference(superposition,[status(thm)],[c_18545,c_9562]) ).
tcf(c_18559,plain,
composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_18545,c_9545]) ).
tcf(c_18560,plain,
composition(iPr_def_11,complement(composition(top,iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_18545,c_9546]) ).
tcf(c_18561,plain,
composition(top,composition(top,iPr_def_11)) = composition(converse(iPr_def_12),top),
inference(superposition,[status(thm)],[c_18545,c_16989]) ).
tcf(c_18563,plain,
composition(converse(iPr_def_12),top) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_18561,c_18195]) ).
tcf(c_18564,plain,
join(zero,composition(iPr_def_11,complement(composition(top,iPr_def_11)))) = zero,
inference(light_normalisation,[status(thm)],[c_18552,c_107]) ).
tcf(c_18565,plain,
composition(converse(join(iPr_def_10,converse(iPr_def_11))),zero) = zero,
inference(light_normalisation,[status(thm)],[c_18558,c_107,c_11759]) ).
tcf(c_18566,plain,
composition(top,converse(join(iPr_def_10,converse(iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_18555,c_2343,c_11759]) ).
tcf(c_18567,plain,
join(zero,composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11)))) = zero,
inference(light_normalisation,[status(thm)],[c_18551,c_107]) ).
tcf(c_18568,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(iPr_def_11)),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_18557,c_11759]) ).
tcf(c_18569,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_11)))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18554,c_50,c_49]) ).
tcf(c_18570,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_11)))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_18569,c_107,c_11759]) ).
tcf(c_18571,plain,
! [X0: $i] : join(zero,join(composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11))),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_18550,c_107,c_1336]) ).
tcf(c_18597,plain,
join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_18518,c_375]) ).
tcf(c_18606,plain,
join(iPr_def_11,complement(join(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_18518,c_11158]) ).
tcf(c_18608,plain,
join(iPr_def_12,composition(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_18518,c_391]) ).
tcf(c_18615,plain,
join(iPr_def_11,join(complement(iPr_def_11),composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_18597,c_50,c_49]) ).
tcf(c_18616,plain,
join(iPr_def_11,join(iPr_def_10,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_18615,c_1671]) ).
tcf(c_18617,plain,
join(iPr_def_10,join(iPr_def_11,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_18616,c_50,c_49]) ).
tcf(c_18619,plain,
join(iPr_def_12,composition(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_18608,c_116]) ).
tcf(c_18620,plain,
join(iPr_def_11,complement(join(iPr_def_11,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_18606,c_50,c_49]) ).
tcf(c_18626,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_17674,c_52,c_474]) ).
tcf(c_18627,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(join(X0,converse(iPr_def_10)),complement(composition(join(converse(X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_765,c_18626]) ).
tcf(c_18628,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(join(converse(iPr_def_10),X0),complement(composition(join(converse(X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_222,c_18626]) ).
tcf(c_18629,plain,
join(iPr_def_11,composition(top,composition(join(one,converse(iPr_def_10)),complement(composition(join(one,iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1729,c_18626]) ).
tcf(c_18631,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,iPr_def_10)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_49,c_18626]) ).
tcf(c_18634,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(complement(iPr_def_10),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_59,c_18626]) ).
tcf(c_18635,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,join(iPr_def_10,X1))),complement(composition(join(join(X0,X1),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_191,c_18626]) ).
tcf(c_18636,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_11,iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_209,c_18626]) ).
tcf(c_18637,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,complement(join(iPr_def_10,X0))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_375,c_18626]) ).
tcf(c_18638,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(complement(iPr_def_10),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7124,c_18626]) ).
tcf(c_18639,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(iPr_def_11,X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7123,c_18626]) ).
tcf(c_18640,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(top,iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7015,c_18626]) ).
tcf(c_18641,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(zero,iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1429,c_18626]) ).
tcf(c_18642,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_12,iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11774,c_18626]) ).
tcf(c_18643,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,iPr_def_11),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7122,c_18626]) ).
tcf(c_18644,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,iPr_def_11)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7305,c_18626]) ).
tcf(c_18645,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(iPr_def_11,X1)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7698,c_18626]) ).
tcf(c_18646,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(converse(complement(converse(iPr_def_10))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2345,c_18626]) ).
tcf(c_18648,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1679,c_18626]) ).
tcf(c_18649,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(converse(X0),complement(composition(X0,iPr_def_11))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1680,c_18626]) ).
tcf(c_18650,plain,
join(iPr_def_11,composition(top,composition(converse(complement(iPr_def_12)),complement(composition(join(complement(iPr_def_12),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13163,c_18626]) ).
tcf(c_18651,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,complement(iPr_def_10)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7426,c_18626]) ).
tcf(c_18652,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,join(X2,iPr_def_11))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7700,c_18626]) ).
tcf(c_18653,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,join(iPr_def_11,X2))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7830,c_18626]) ).
tcf(c_18654,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(join(iPr_def_10,X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7878,c_18626]) ).
tcf(c_18655,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(complement(join(iPr_def_11,X0)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_8588,c_18626]) ).
tcf(c_18656,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(iPr_def_12,X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11838,c_18626]) ).
tcf(c_18657,plain,
join(iPr_def_11,composition(top,composition(converse(composition(top,iPr_def_10)),complement(composition(join(composition(complement(one),iPr_def_10),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11631,c_18626]) ).
tcf(c_18658,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(composition(top,complement(iPr_def_10)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11752,c_18626]) ).
tcf(c_18659,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(composition(top,iPr_def_11),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11759,c_18626]) ).
tcf(c_18660,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,iPr_def_12),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11837,c_18626]) ).
tcf(c_18661,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(X0,complement(composition(converse(X0),iPr_def_11))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11899,c_18626]) ).
tcf(c_18662,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(composition(top,iPr_def_12),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11952,c_18626]) ).
tcf(c_18663,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(composition(top,iPr_def_11),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11990,c_18626]) ).
tcf(c_18664,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,iPr_def_12)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12163,c_18626]) ).
tcf(c_18665,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(composition(top,iPr_def_12),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12210,c_18626]) ).
tcf(c_18666,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,join(X2,iPr_def_12))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12476,c_18626]) ).
tcf(c_18667,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,join(iPr_def_12,X2))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15206,c_18626]) ).
tcf(c_18668,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,complement(iPr_def_10))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12833,c_18626]) ).
tcf(c_18669,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(complement(iPr_def_12),X0)),complement(composition(join(join(complement(iPr_def_12),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13165,c_18626]) ).
tcf(c_18670,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,complement(iPr_def_12))),complement(composition(join(join(X0,complement(iPr_def_12)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13166,c_18626]) ).
tcf(c_18671,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(complement(join(X0,iPr_def_11)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13297,c_18626]) ).
tcf(c_18672,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(complement(composition(top,iPr_def_11)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13295,c_18626]) ).
tcf(c_18673,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(complement(join(iPr_def_11,X0)),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13315,c_18626]) ).
tcf(c_18674,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(complement(join(X0,iPr_def_11)),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13389,c_18626]) ).
tcf(c_18675,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(complement(join(X0,join(iPr_def_11,X1))),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13365,c_18626]) ).
tcf(c_18676,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(complement(composition(top,iPr_def_11)),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13387,c_18626]) ).
tcf(c_18677,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(join(composition(complement(join(iPr_def_11,X1)),top),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13393,c_18626]) ).
tcf(c_18678,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,iPr_def_10)),complement(composition(join(join(X0,composition(complement(join(iPr_def_11,X1)),top)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13394,c_18626]) ).
tcf(c_18679,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16170,c_18626]) ).
tcf(c_18680,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(complement(join(X0,join(X1,iPr_def_11))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_14735,c_18626]) ).
tcf(c_18681,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(complement(composition(iPr_def_12,X0))),complement(composition(join(complement(composition(iPr_def_12,X0)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15920,c_18626]) ).
tcf(c_18682,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(complement(composition(iPr_def_11,X0))),complement(composition(join(complement(composition(iPr_def_11,X0)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_15924,c_18626]) ).
tcf(c_18683,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(composition(complement(composition(iPr_def_12,X0)),top)),complement(composition(join(composition(complement(composition(iPr_def_12,X0)),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16092,c_18626]) ).
tcf(c_18684,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(composition(complement(composition(iPr_def_11,X0)),top)),complement(composition(join(composition(complement(composition(iPr_def_11,X0)),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_16108,c_18626]) ).
tcf(c_18685,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(iPr_def_10,X0),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_49,c_18626]) ).
tcf(c_18687,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,join(X0,X1))),complement(composition(join(X0,join(X1,iPr_def_10)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_50,c_18626]) ).
tcf(c_18688,plain,
join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,zero)),complement(composition(iPr_def_10,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1336,c_18626]) ).
tcf(c_18689,plain,
join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,top)),complement(composition(top,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7096,c_18626]) ).
tcf(c_18690,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7769,c_18626]) ).
tcf(c_18692,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_18626,c_375]) ).
tcf(c_18693,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_18626,c_50]) ).
tcf(c_18694,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(top,composition(converse(join(iPr_def_10,X1)),complement(composition(join(X1,iPr_def_10),composition(top,iPr_def_10))))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_18626,c_191]) ).
tcf(c_18701,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_18626,c_11158]) ).
tcf(c_18703,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_18626,c_391]) ).
tcf(c_18710,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,iPr_def_12),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18642,c_50,c_49]) ).
tcf(c_18712,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,zero),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18641,c_50,c_49]) ).
tcf(c_18713,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,top),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18640,c_50,c_49]) ).
tcf(c_18714,plain,
join(iPr_def_11,composition(top,composition(top,complement(composition(join(iPr_def_10,top),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18713,c_2343]) ).
tcf(c_18715,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,iPr_def_11),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18636,c_50,c_49]) ).
tcf(c_18717,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,complement(iPr_def_10)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18634,c_50,c_49]) ).
tcf(c_18719,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,composition(top,iPr_def_12)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18662,c_50,c_49]) ).
tcf(c_18721,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,iPr_def_12)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18660,c_50,c_49]) ).
tcf(c_18723,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,composition(top,iPr_def_11)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18659,c_50,c_49]) ).
tcf(c_18725,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,join(X0,iPr_def_12)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18656,c_50,c_49]) ).
tcf(c_18727,plain,
join(iPr_def_11,composition(top,composition(converse(complement(iPr_def_12)),complement(composition(join(iPr_def_10,complement(iPr_def_12)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18650,c_50,c_49]) ).
tcf(c_18728,plain,
join(iPr_def_11,composition(top,composition(converse(complement(iPr_def_12)),complement(composition(complement(iPr_def_12),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18727,c_13163]) ).
tcf(c_18729,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,iPr_def_11)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18643,c_50,c_49]) ).
tcf(c_18731,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,join(X0,iPr_def_11)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18639,c_50,c_49]) ).
tcf(c_18733,plain,
join(iPr_def_11,composition(top,composition(join(one,converse(iPr_def_10)),complement(composition(join(iPr_def_10,one),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18629,c_50,c_49]) ).
tcf(c_18734,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(composition(top,iPr_def_11))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18672,c_50,c_49]) ).
tcf(c_18736,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(join(X0,iPr_def_11))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18671,c_50,c_49]) ).
tcf(c_18738,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,composition(top,complement(iPr_def_10))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18658,c_50,c_49]) ).
tcf(c_18740,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(join(iPr_def_11,X0))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18655,c_50,c_49]) ).
tcf(c_18742,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,complement(iPr_def_10))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18651,c_50,c_49]) ).
tcf(c_18744,plain,
join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,converse(complement(converse(iPr_def_10)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18646,c_50,c_49]) ).
tcf(c_18745,plain,
join(iPr_def_11,composition(top,composition(top,complement(composition(join(iPr_def_10,converse(complement(converse(iPr_def_10)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18744,c_2343]) ).
tcf(c_18746,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,join(X0,complement(iPr_def_10))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18638,c_50,c_49]) ).
tcf(c_18748,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(join(converse(iPr_def_10),X0),complement(composition(join(iPr_def_10,converse(X0)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18628,c_50,c_49]) ).
tcf(c_18749,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(join(X0,converse(iPr_def_10)),complement(composition(join(iPr_def_10,converse(X0)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18627,c_50,c_49]) ).
tcf(c_18750,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,join(X0,composition(top,iPr_def_12))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18665,c_50,c_49]) ).
tcf(c_18752,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(iPr_def_10,iPr_def_12))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18664,c_50,c_49]) ).
tcf(c_18755,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,join(X0,composition(top,iPr_def_11))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18663,c_50,c_49]) ).
tcf(c_18757,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(iPr_def_10,join(X0,iPr_def_10)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18654,c_50,c_49]) ).
tcf(c_18758,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,join(X1,iPr_def_11))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18645,c_50,c_49]) ).
tcf(c_18760,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(iPr_def_10,iPr_def_11))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18644,c_50,c_49]) ).
tcf(c_18763,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_18692,c_50,c_49]) ).
tcf(c_18764,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))))) = top,
inference(light_normalisation,[status(thm)],[c_18763,c_1671]) ).
tcf(c_18765,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_18764,c_50,c_49]) ).
tcf(c_18767,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,complement(join(X0,join(X1,iPr_def_11)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18680,c_50,c_49]) ).
tcf(c_18769,plain,
join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(complement(composition(top,iPr_def_11)),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18676,c_50,c_49]) ).
tcf(c_18771,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(complement(join(X0,iPr_def_11)),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18674,c_50,c_49]) ).
tcf(c_18773,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18673,c_50,c_49]) ).
tcf(c_18775,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(iPr_def_10,complement(iPr_def_10)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18668,c_50,c_49]) ).
tcf(c_18778,plain,
join(iPr_def_11,composition(top,composition(converse(composition(top,iPr_def_10)),complement(composition(join(iPr_def_10,composition(complement(one),iPr_def_10)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18657,c_50,c_49]) ).
tcf(c_18779,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18637,c_50,c_49]) ).
tcf(c_18780,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18779,c_2343]) ).
tcf(c_18781,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_18703,c_116]) ).
tcf(c_18782,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(complement(composition(iPr_def_11,X0))),complement(composition(join(iPr_def_10,complement(composition(iPr_def_11,X0))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18682,c_50,c_49]) ).
tcf(c_18783,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(complement(composition(iPr_def_11,X0))),complement(composition(complement(composition(iPr_def_11,X0)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18782,c_15924]) ).
tcf(c_18784,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(complement(composition(iPr_def_12,X0))),complement(composition(join(iPr_def_10,complement(composition(iPr_def_12,X0))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18681,c_50,c_49]) ).
tcf(c_18785,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(complement(composition(iPr_def_12,X0))),complement(composition(complement(composition(iPr_def_12,X0)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18784,c_15920]) ).
tcf(c_18786,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,complement(iPr_def_12))),complement(composition(join(X0,join(iPr_def_10,complement(iPr_def_12))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18670,c_50,c_49]) ).
tcf(c_18787,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,complement(iPr_def_12))),complement(composition(join(X0,complement(iPr_def_12)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18786,c_13163]) ).
tcf(c_18788,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(complement(iPr_def_12),X0)),complement(composition(join(iPr_def_10,join(X0,complement(iPr_def_12))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18669,c_50,c_49]) ).
tcf(c_18789,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(join(complement(iPr_def_12),X0)),complement(composition(join(X0,complement(iPr_def_12)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18788,c_13166]) ).
tcf(c_18790,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(iPr_def_10,join(X2,iPr_def_12)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18667,c_50,c_49]) ).
tcf(c_18791,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(X0,join(X1,join(iPr_def_10,join(X2,iPr_def_12)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18790,c_2343]) ).
tcf(c_18792,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(X2,join(iPr_def_10,iPr_def_12)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18666,c_50,c_49]) ).
tcf(c_18793,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(X0,join(X1,join(X2,top))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18792,c_2343,c_11774]) ).
tcf(c_18794,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(X0,complement(composition(converse(X0),iPr_def_11)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18661,c_50,c_49]) ).
tcf(c_18796,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(iPr_def_10,join(X2,iPr_def_11)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18653,c_50,c_49]) ).
tcf(c_18798,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(X2,join(iPr_def_10,iPr_def_11)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18652,c_50,c_49]) ).
tcf(c_18800,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(converse(X0),complement(composition(X0,iPr_def_11)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18649,c_50,c_49]) ).
tcf(c_18802,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,join(iPr_def_10,X1))),complement(composition(join(X0,join(X1,iPr_def_10)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18635,c_50,c_49]) ).
tcf(c_18805,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(complement(join(X0,join(iPr_def_11,X1))),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18675,c_50,c_49]) ).
tcf(c_18807,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10)))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_18701,c_50,c_49]) ).
tcf(c_18809,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18648,c_50,c_49]) ).
tcf(c_18811,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(X0,iPr_def_10)),complement(composition(join(X0,join(iPr_def_10,composition(complement(join(iPr_def_11,X1)),top))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18678,c_50,c_49]) ).
tcf(c_18813,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(iPr_def_10,join(X0,composition(complement(join(iPr_def_11,X1)),top))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18677,c_50,c_49]) ).
tcf(c_18815,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(composition(complement(composition(iPr_def_11,X0)),top)),complement(composition(join(iPr_def_10,composition(complement(composition(iPr_def_11,X0)),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18684,c_50,c_49]) ).
tcf(c_18816,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(composition(complement(composition(iPr_def_11,X0)),top)),complement(composition(composition(complement(composition(iPr_def_11,X0)),top),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18815,c_16108]) ).
tcf(c_18817,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(composition(complement(composition(iPr_def_12,X0)),top)),complement(composition(join(iPr_def_10,composition(complement(composition(iPr_def_12,X0)),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18683,c_50,c_49]) ).
tcf(c_18818,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(composition(complement(composition(iPr_def_12,X0)),top)),complement(composition(composition(complement(composition(iPr_def_12,X0)),top),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18817,c_16092]) ).
tcf(c_18819,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,composition(X0,top))),complement(composition(join(iPr_def_10,composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_18679,c_50,c_49]) ).
tcf(c_18820,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(composition(top,converse(join(iPr_def_10,X0))),complement(composition(join(iPr_def_10,composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18819,c_16911]) ).
tcf(c_18823,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(demodulation,[status(thm)],[c_18278,c_8201]) ).
tcf(c_18824,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(X0,join(iPr_def_10,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_191,c_18823]) ).
tcf(c_18826,plain,
composition(iPr_def_10,composition(converse(top),complement(join(iPr_def_10,composition(complement(iPr_def_10),top))))) = zero,
inference(superposition,[status(thm)],[c_7124,c_18823]) ).
tcf(c_18827,plain,
composition(iPr_def_10,composition(converse(top),complement(join(iPr_def_10,composition(iPr_def_11,top))))) = zero,
inference(superposition,[status(thm)],[c_7123,c_18823]) ).
tcf(c_18828,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(iPr_def_10,top))))) = zero,
inference(superposition,[status(thm)],[c_7878,c_18823]) ).
tcf(c_18829,plain,
composition(iPr_def_10,composition(converse(top),complement(join(iPr_def_10,composition(iPr_def_12,top))))) = zero,
inference(superposition,[status(thm)],[c_11838,c_18823]) ).
tcf(c_18830,plain,
composition(iPr_def_10,composition(converse(top),complement(join(iPr_def_10,composition(composition(top,iPr_def_11),top))))) = zero,
inference(superposition,[status(thm)],[c_11990,c_18823]) ).
tcf(c_18831,plain,
composition(iPr_def_10,composition(converse(top),complement(join(iPr_def_10,composition(composition(top,iPr_def_12),top))))) = zero,
inference(superposition,[status(thm)],[c_12210,c_18823]) ).
tcf(c_18832,plain,
composition(iPr_def_10,composition(converse(join(complement(iPr_def_12),iPr_def_10)),complement(join(iPr_def_10,composition(complement(iPr_def_12),top))))) = zero,
inference(superposition,[status(thm)],[c_13165,c_18823]) ).
tcf(c_18833,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top))))) = zero,
inference(superposition,[status(thm)],[c_13393,c_18823]) ).
tcf(c_18834,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,X0))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_49,c_18823]) ).
tcf(c_18836,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(X1,iPr_def_10)))),complement(join(iPr_def_10,composition(join(X0,X1),top))))) = zero,
inference(superposition,[status(thm)],[c_50,c_18823]) ).
tcf(c_18837,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(zero,top))))) = zero,
inference(superposition,[status(thm)],[c_1336,c_18823]) ).
tcf(c_18838,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,top)),complement(join(iPr_def_10,composition(top,top))))) = zero,
inference(superposition,[status(thm)],[c_7096,c_18823]) ).
tcf(c_18839,plain,
composition(iPr_def_10,composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(iPr_def_10,top))))) = zero,
inference(superposition,[status(thm)],[c_7769,c_18823]) ).
tcf(c_18840,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(join(iPr_def_11,X0)),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13315,c_18823]) ).
tcf(c_18841,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(join(X0,iPr_def_11)),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13389,c_18823]) ).
tcf(c_18842,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(join(X0,join(iPr_def_11,X1))),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13365,c_18823]) ).
tcf(c_18843,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(composition(top,iPr_def_11)),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13387,c_18823]) ).
tcf(c_18844,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(composition(complement(join(iPr_def_11,X0)),top),X1),iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_16170,c_18823]) ).
tcf(c_18845,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),iPr_def_10))),complement(composition(complement(composition(iPr_def_12,X0)),top)))) = zero,
inference(superposition,[status(thm)],[c_16092,c_18823]) ).
tcf(c_18846,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),iPr_def_10))),complement(composition(complement(composition(iPr_def_11,X0)),top)))) = zero,
inference(superposition,[status(thm)],[c_16108,c_18823]) ).
tcf(c_18847,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(composition(X0,X1),iPr_def_10))),complement(join(iPr_def_10,composition(X0,composition(X1,top)))))) = zero,
inference(superposition,[status(thm)],[c_52,c_18823]) ).
tcf(c_18848,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_11,iPr_def_10))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(superposition,[status(thm)],[c_116,c_18823]) ).
tcf(c_18849,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,iPr_def_10))),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_193,c_18823]) ).
tcf(c_18850,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(iPr_def_11,X0),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_391,c_18823]) ).
tcf(c_18851,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(iPr_def_10,X0),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_392,c_18823]) ).
tcf(c_18852,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(X0,iPr_def_11),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_402,c_18823]) ).
tcf(c_18853,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(X0,iPr_def_10),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_401,c_18823]) ).
tcf(c_18854,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(top,iPr_def_10))),complement(join(iPr_def_10,top)))) = zero,
inference(superposition,[status(thm)],[c_11762,c_18823]) ).
tcf(c_18855,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(iPr_def_10,composition(X0,top)),iPr_def_10))),complement(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top)))))) = zero,
inference(superposition,[status(thm)],[c_445,c_18823]) ).
tcf(c_18856,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(X0,join(iPr_def_10,X1)),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))))) = zero,
inference(superposition,[status(thm)],[c_9109,c_18823]) ).
tcf(c_18857,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(one,iPr_def_10))),complement(join(iPr_def_10,top)))) = zero,
inference(superposition,[status(thm)],[c_1708,c_18823]) ).
tcf(c_18858,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_12,iPr_def_10))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(superposition,[status(thm)],[c_11779,c_18823]) ).
tcf(c_18859,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(one,X0),iPr_def_10))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_1767,c_18823]) ).
tcf(c_18860,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(X0,one),iPr_def_10))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_1782,c_18823]) ).
tcf(c_18861,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(zero,iPr_def_10))),complement(join(iPr_def_10,zero)))) = zero,
inference(superposition,[status(thm)],[c_8217,c_18823]) ).
tcf(c_18862,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(iPr_def_12,X0),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_11839,c_18823]) ).
tcf(c_18863,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(iPr_def_12),iPr_def_10))),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_15143,c_18823]) ).
tcf(c_18864,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(X0,iPr_def_12),iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_11846,c_18823]) ).
tcf(c_18865,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(converse(iPr_def_11),iPr_def_10))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(superposition,[status(thm)],[c_18545,c_18823]) ).
tcf(c_18866,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(iPr_def_10,composition(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18823,c_433]) ).
tcf(c_18867,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))) = composition(join(iPr_def_10,X0),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(superposition,[status(thm)],[c_18823,c_54]) ).
tcf(c_18868,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_18823,c_52]) ).
tcf(c_18869,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),zero) = composition(join(X0,iPr_def_10),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(superposition,[status(thm)],[c_18823,c_54]) ).
tcf(c_18870,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),join(composition(converse(iPr_def_10),complement(zero)),X1)) = join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),X1),
inference(superposition,[status(thm)],[c_18823,c_362]) ).
tcf(c_18872,plain,
! [X0: $i] : composition(join(one,iPr_def_10),composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = join(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),zero),
inference(superposition,[status(thm)],[c_18823,c_1767]) ).
tcf(c_18873,plain,
! [X0: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),composition(converse(iPr_def_10),complement(zero))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_18823,c_76]) ).
tcf(c_18874,plain,
! [X0: $i] : join(complement(composition(top,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))),composition(converse(iPr_def_10),complement(zero))) = complement(composition(top,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))),
inference(superposition,[status(thm)],[c_18823,c_428]) ).
tcf(c_18879,plain,
composition(iPr_def_10,composition(converse(iPr_def_10),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_18839,c_193]) ).
tcf(c_18880,plain,
composition(iPr_def_10,composition(top,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_18829,c_107,c_2343,c_11774,c_11779]) ).
tcf(c_18883,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,zero))),complement(join(iPr_def_10,zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18861,c_50,c_49]) ).
tcf(c_18884,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,iPr_def_12))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18858,c_50,c_49]) ).
tcf(c_18885,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,top)),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_18884,c_107,c_11774]) ).
tcf(c_18886,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,one))),complement(join(iPr_def_10,top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18857,c_50,c_49]) ).
tcf(c_18887,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,top))),complement(join(iPr_def_10,top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18854,c_50,c_49]) ).
tcf(c_18888,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,iPr_def_11))),complement(join(iPr_def_10,iPr_def_12)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18848,c_50,c_49]) ).
tcf(c_18890,plain,
composition(iPr_def_10,zero) = zero,
inference(light_normalisation,[status(thm)],[c_18838,c_11762,c_12248]) ).
tcf(c_18893,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_18828,c_193]) ).
tcf(c_18894,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(iPr_def_12)))),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18863,c_50,c_49]) ).
tcf(c_18895,plain,
composition(iPr_def_10,composition(converse(complement(iPr_def_12)),complement(join(iPr_def_10,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_18894,c_13163]) ).
tcf(c_18896,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(composition(top,iPr_def_11))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18843,c_50,c_49]) ).
tcf(c_18897,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_10)),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_18896,c_192,c_13295]) ).
tcf(c_18898,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(X0,iPr_def_11))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18841,c_50,c_49]) ).
tcf(c_18900,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(iPr_def_11,X0))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18840,c_50,c_49]) ).
tcf(c_18902,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,complement(iPr_def_12))),complement(join(iPr_def_10,composition(complement(iPr_def_12),top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18832,c_50,c_49]) ).
tcf(c_18904,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_11)))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18865,c_50,c_49]) ).
tcf(c_18905,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_11)))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_18904,c_107,c_11759]) ).
tcf(c_18906,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(X0,join(iPr_def_11,X1)))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_18842,c_50,c_49]) ).
tcf(c_18909,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_12)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18864,c_50,c_49]) ).
tcf(c_18911,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_12)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18862,c_50,c_49]) ).
tcf(c_18913,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,one)))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18860,c_50,c_49]) ).
tcf(c_18914,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,one)))),complement(join(iPr_def_10,join(top,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18859,c_50,c_49]) ).
tcf(c_18915,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_10)))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18853,c_50,c_49]) ).
tcf(c_18916,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,iPr_def_11)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18852,c_50,c_49]) ).
tcf(c_18918,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_10)))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18851,c_50,c_49]) ).
tcf(c_18919,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,iPr_def_11)))),complement(join(iPr_def_10,join(iPr_def_12,composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18850,c_50,c_49]) ).
tcf(c_18921,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,composition(X0,X1)))),complement(join(iPr_def_10,composition(X0,composition(X1,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18847,c_50,c_49]) ).
tcf(c_18922,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(composition(iPr_def_11,X0))))),complement(composition(complement(composition(iPr_def_11,X0)),top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18846,c_50,c_49]) ).
tcf(c_18923,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(complement(composition(iPr_def_11,X0))),complement(composition(complement(composition(iPr_def_11,X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_18922,c_15924]) ).
tcf(c_18924,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(composition(iPr_def_12,X0))))),complement(composition(complement(composition(iPr_def_12,X0)),top)))) = zero,
inference(theory_normalisation,[status(thm)],[c_18845,c_50,c_49]) ).
tcf(c_18925,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(complement(composition(iPr_def_12,X0))),complement(composition(complement(composition(iPr_def_12,X0)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_18924,c_15920]) ).
tcf(c_18926,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(X0,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(join(X0,X1),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_18836,c_3861]) ).
tcf(c_18927,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,composition(complement(join(iPr_def_11,X1)),top))))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18844,c_50,c_49]) ).
tcf(c_18929,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(iPr_def_10,composition(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_18866,c_1950]) ).
tcf(c_18930,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,join(X1,iPr_def_10))))),complement(join(iPr_def_10,join(iPr_def_10,composition(join(X0,X1),top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18856,c_50,c_49]) ).
tcf(c_18931,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(iPr_def_10,composition(X0,top))))),complement(join(iPr_def_10,composition(join(iPr_def_10,X0),composition(top,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_18855,c_50,c_49]) ).
tcf(c_18932,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(iPr_def_10,composition(X0,top))))),complement(join(iPr_def_10,join(iPr_def_10,composition(X0,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_18931,c_392,c_11762]) ).
tcf(c_18933,plain,
! [X0: $i] : composition(join(iPr_def_10,one),composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = join(zero,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(theory_normalisation,[status(thm)],[c_18872,c_50,c_49]) ).
tcf(c_18935,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),complement(zero)),complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(theory_normalisation,[status(thm)],[c_18873,c_50,c_49]) ).
tcf(c_18936,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),top),complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(light_normalisation,[status(thm)],[c_18935,c_1431]) ).
tcf(c_18937,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))) = composition(join(X0,iPr_def_10),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_18869,c_50,c_49]) ).
tcf(c_18938,plain,
! [X0: $i,X1: $i] : composition(join(X0,iPr_def_10),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))) = composition(top,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(light_normalisation,[status(thm)],[c_18937,c_18339]) ).
tcf(c_18939,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,X0),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))) = composition(top,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(light_normalisation,[status(thm)],[c_18867,c_18339]) ).
tcf(c_18940,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),complement(zero)),complement(composition(top,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))))) = complement(composition(top,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))))),
inference(theory_normalisation,[status(thm)],[c_18874,c_50,c_49]) ).
tcf(c_18941,plain,
join(composition(converse(iPr_def_10),top),top) = top,
inference(light_normalisation,[status(thm)],[c_18940,c_1431,c_18222]) ).
tcf(c_18942,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),complement(zero)),join(X0,complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))))) = join(complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X0),
inference(theory_normalisation,[status(thm)],[c_18870,c_50,c_49]) ).
tcf(c_18943,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),top),join(X0,complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))))) = join(complement(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X0),
inference(light_normalisation,[status(thm)],[c_18942,c_1431]) ).
tcf(c_18945,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,join(iPr_def_11,zero))),X0)) = top,
inference(light_normalisation,[status(thm)],[c_373,c_7096]) ).
tcf(c_18950,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_11))),iPr_def_10) = composition(join(X0,X1),iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_18473]) ).
tcf(c_18951,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(superposition,[status(thm)],[c_56,c_18473]) ).
tcf(c_18953,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_10)),complement(composition(join(X0,converse(iPr_def_11)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18473,c_433]) ).
tcf(c_18955,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),composition(iPr_def_10,X1)) = composition(composition(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18473,c_52]) ).
tcf(c_18956,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_11))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_18473,c_54]) ).
tcf(c_18957,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(join(X0,converse(iPr_def_11))),complement(composition(X0,iPr_def_10))),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18473,c_362]) ).
tcf(c_18958,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(join(X0,converse(iPr_def_11))),complement(composition(X0,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18473,c_76]) ).
tcf(c_18960,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(X0,converse(iPr_def_11))),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18473,c_14347]) ).
tcf(c_18961,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(join(X0,converse(iPr_def_11))),complement(composition(X0,iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_18473,c_434]) ).
tcf(c_18962,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(X0,converse(iPr_def_11))),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18473,c_349]) ).
tcf(c_18963,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(join(X1,converse(iPr_def_11))),complement(composition(X1,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_18473,c_9023]) ).
tcf(c_18964,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,join(X1,converse(iPr_def_11)))),complement(composition(X0,composition(X1,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18473,c_433]) ).
tcf(c_18965,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(converse(iPr_def_11))),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18473,c_776]) ).
tcf(c_18976,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(converse(complement(converse(iPr_def_11))),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_18543]) ).
tcf(c_18983,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,one),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_1782,c_18543]) ).
tcf(c_18984,plain,
! [X0: $i] : join(iPr_def_12,composition(join(one,X0),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_1767,c_18543]) ).
tcf(c_18987,plain,
join(iPr_def_12,composition(top,converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_11631,c_18543]) ).
tcf(c_18991,plain,
! [X0: $i] : join(iPr_def_12,join(join(converse(complement(converse(iPr_def_11))),X0),complement(top))) = top,
inference(superposition,[status(thm)],[c_18543,c_375]) ).
tcf(c_18992,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(join(converse(complement(converse(iPr_def_11))),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_18543,c_50]) ).
tcf(c_18993,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(converse(complement(converse(iPr_def_11))),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_18543,c_191]) ).
tcf(c_18998,plain,
! [X0: $i] : join(iPr_def_12,composition(join(converse(complement(converse(iPr_def_11))),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_18543,c_11839]) ).
tcf(c_19000,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_18543,c_3214]) ).
tcf(c_19011,plain,
! [X0: $i] : join(iPr_def_12,join(complement(top),join(X0,converse(complement(converse(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_18991,c_50,c_49]) ).
tcf(c_19012,plain,
! [X0: $i] : join(iPr_def_12,join(zero,join(X0,converse(complement(converse(iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_19011,c_107]) ).
tcf(c_19013,plain,
! [X0: $i] : join(iPr_def_12,composition(join(converse(complement(converse(iPr_def_11))),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_18998,c_11762]) ).
tcf(c_19015,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_18992,c_50,c_49]) ).
tcf(c_19017,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),iPr_def_10) = composition(converse(converse(X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_765,c_18476]) ).
tcf(c_19018,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),iPr_def_10) = composition(converse(converse(X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_222,c_18476]) ).
tcf(c_19019,plain,
composition(join(one,converse(iPr_def_11)),iPr_def_10) = composition(converse(one),iPr_def_10),
inference(superposition,[status(thm)],[c_1729,c_18476]) ).
tcf(c_19023,plain,
composition(converse(complement(iPr_def_11)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_59,c_18476]) ).
tcf(c_19024,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_11,X1))),iPr_def_10) = composition(converse(join(X0,X1)),iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_18476]) ).
tcf(c_19025,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,iPr_def_10)))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_349,c_18476]) ).
tcf(c_19026,plain,
! [X0: $i] : composition(converse(join(X0,complement(join(iPr_def_11,X0)))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_375,c_18476]) ).
tcf(c_19027,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_11),X0)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_7124,c_18476]) ).
tcf(c_19028,plain,
composition(converse(zero),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_1429,c_18476]) ).
tcf(c_19029,plain,
! [X0: $i] : composition(converse(composition(X0,complement(composition(converse(X0),iPr_def_10)))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_432,c_18476]) ).
tcf(c_19030,plain,
! [X0: $i,X1: $i] : composition(converse(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10))))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_433,c_18476]) ).
tcf(c_19031,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1)),iPr_def_10) = composition(converse(join(iPr_def_11,X1)),iPr_def_10),
inference(superposition,[status(thm)],[c_434,c_18476]) ).
tcf(c_19032,plain,
composition(converse(converse(complement(converse(iPr_def_11)))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_2345,c_18476]) ).
tcf(c_19033,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10)))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_776,c_18476]) ).
tcf(c_19034,plain,
composition(converse(complement(converse(complement(converse(iPr_def_11))))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_12326,c_18476]) ).
tcf(c_19035,plain,
! [X0: $i] : composition(converse(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),iPr_def_10) = composition(converse(join(iPr_def_11,complement(X0))),iPr_def_10),
inference(superposition,[status(thm)],[c_1888,c_18476]) ).
tcf(c_19036,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(converse(iPr_def_12),iPr_def_10),
inference(superposition,[status(thm)],[c_3207,c_18476]) ).
tcf(c_19037,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,X0)),iPr_def_10) = composition(converse(join(iPr_def_12,X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_3214,c_18476]) ).
tcf(c_19038,plain,
composition(converse(complement(iPr_def_12)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_4192,c_18476]) ).
tcf(c_19039,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),iPr_def_10) = composition(converse(join(iPr_def_11,X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_4183,c_18476]) ).
tcf(c_19040,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_12),X0)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_13559,c_18476]) ).
tcf(c_19041,plain,
! [X0: $i] : composition(converse(join(X0,complement(iPr_def_11))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_7426,c_18476]) ).
tcf(c_19042,plain,
! [X0: $i] : composition(converse(complement(join(X0,join(iPr_def_11,X0)))),iPr_def_10) = composition(converse(join(iPr_def_11,complement(join(iPr_def_11,X0)))),iPr_def_10),
inference(superposition,[status(thm)],[c_11158,c_18476]) ).
tcf(c_19043,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))),iPr_def_10) = composition(converse(join(iPr_def_11,X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_10560,c_18476]) ).
tcf(c_19044,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10))))),iPr_def_10) = composition(converse(join(X0,iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_9023,c_18476]) ).
tcf(c_19045,plain,
! [X0: $i] : composition(converse(join(X0,complement(iPr_def_12))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_9125,c_18476]) ).
tcf(c_19046,plain,
composition(converse(composition(complement(one),iPr_def_11)),iPr_def_10) = composition(converse(composition(top,iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_11631,c_18476]) ).
tcf(c_19047,plain,
composition(converse(composition(top,complement(iPr_def_11))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_11752,c_18476]) ).
tcf(c_19048,plain,
! [X0: $i] : composition(converse(join(complement(converse(complement(converse(iPr_def_11)))),X0)),iPr_def_10) = composition(converse(join(iPr_def_11,X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_12338,c_18476]) ).
tcf(c_19049,plain,
! [X0: $i] : composition(converse(join(X0,complement(converse(complement(converse(iPr_def_11)))))),iPr_def_10) = composition(converse(join(X0,iPr_def_11)),iPr_def_10),
inference(superposition,[status(thm)],[c_12339,c_18476]) ).
tcf(c_19050,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(iPr_def_11)))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_12833,c_18476]) ).
tcf(c_19051,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(iPr_def_12)))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_13561,c_18476]) ).
tcf(c_19052,plain,
composition(converse(composition(top,complement(iPr_def_12))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_13984,c_18476]) ).
tcf(c_19053,plain,
composition(converse(composition(top,iPr_def_10)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_14138,c_18476]) ).
tcf(c_19054,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_10),X0)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_14229,c_18476]) ).
tcf(c_19055,plain,
! [X0: $i] : composition(converse(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_14347,c_18476]) ).
tcf(c_19056,plain,
! [X0: $i] : composition(converse(join(composition(top,complement(iPr_def_12)),X0)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_15762,c_18476]) ).
tcf(c_19057,plain,
! [X0: $i] : composition(converse(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10)))))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_17888,c_18476]) ).
tcf(c_19058,plain,
composition(converse(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_18518,c_18476]) ).
tcf(c_19059,plain,
! [X0: $i] : composition(converse(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10)))))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_18626,c_18476]) ).
tcf(c_19060,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(X0),iPr_def_10)),complement(composition(converse(join(iPr_def_11,X0)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18476,c_433]) ).
tcf(c_19061,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),iPr_def_10),composition(X1,iPr_def_10)) = composition(join(converse(join(iPr_def_11,X0)),X1),iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_54]) ).
tcf(c_19062,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_11,X0)),composition(iPr_def_10,X1)) = composition(composition(converse(X0),iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18476,c_52]) ).
tcf(c_19063,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(converse(X1),iPr_def_10)) = composition(join(X0,converse(join(iPr_def_11,X1))),iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_54]) ).
tcf(c_19064,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(converse(join(iPr_def_11,X0))),complement(composition(converse(X0),iPr_def_10))),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18476,c_362]) ).
tcf(c_19065,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(converse(join(iPr_def_11,X0))),complement(composition(converse(X0),iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_76]) ).
tcf(c_19066,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(join(iPr_def_11,X0),complement(composition(converse(X0),iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_350]) ).
tcf(c_19067,plain,
! [X0: $i] : composition(converse(iPr_def_10),join(iPr_def_11,X0)) = converse(composition(converse(X0),iPr_def_10)),
inference(superposition,[status(thm)],[c_18476,c_226]) ).
tcf(c_19068,plain,
! [X0: $i] : composition(top,converse(composition(converse(X0),iPr_def_10))) = converse(composition(converse(X0),iPr_def_10)),
inference(superposition,[status(thm)],[c_18476,c_17604]) ).
tcf(c_19069,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(join(iPr_def_11,X0))),composition(top,complement(composition(top,composition(converse(X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18476,c_14347]) ).
tcf(c_19070,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(converse(join(iPr_def_11,X0))),complement(composition(converse(X0),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_18476,c_434]) ).
tcf(c_19071,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(join(iPr_def_11,X0))),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18476,c_349]) ).
tcf(c_19072,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_11,X0),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18476,c_432]) ).
tcf(c_19073,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(converse(join(iPr_def_11,X1))),complement(composition(converse(X1),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_18476,c_9023]) ).
tcf(c_19074,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(join(iPr_def_11,X1)))),complement(composition(X0,composition(converse(X1),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18476,c_433]) ).
tcf(c_19077,plain,
composition(converse(complement(iPr_def_12)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19038,c_2343]) ).
tcf(c_19078,plain,
composition(converse(iPr_def_10),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19023,c_1671,c_2343]) ).
tcf(c_19079,plain,
composition(converse(composition(top,iPr_def_10)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19053,c_2343]) ).
tcf(c_19080,plain,
composition(join(one,converse(iPr_def_11)),iPr_def_10) = composition(one,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19019,c_1689]) ).
tcf(c_19081,plain,
composition(converse(composition(top,complement(iPr_def_12))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19052,c_2343]) ).
tcf(c_19083,plain,
! [X0: $i] : composition(converse(join(X0,complement(iPr_def_12))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19045,c_2343]) ).
tcf(c_19084,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_10)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19041,c_1671,c_2343]) ).
tcf(c_19085,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_12),X0)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19040,c_2343]) ).
tcf(c_19086,plain,
composition(converse(converse(complement(converse(iPr_def_11)))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19032,c_2343]) ).
tcf(c_19087,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,X0)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19027,c_1671,c_2343]) ).
tcf(c_19090,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_10),X0)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19054,c_2343]) ).
tcf(c_19091,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19039,c_18476]) ).
tcf(c_19092,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,X0)),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19037,c_18476]) ).
tcf(c_19093,plain,
composition(converse(complement(converse(complement(converse(iPr_def_11))))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19034,c_3196]) ).
tcf(c_19094,plain,
! [X0: $i] : composition(converse(join(composition(top,complement(iPr_def_12)),X0)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19056,c_2343]) ).
tcf(c_19095,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(iPr_def_12)))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19051,c_2343]) ).
tcf(c_19096,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_10))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19050,c_1671,c_2343]) ).
tcf(c_19097,plain,
! [X0: $i] : composition(converse(join(X0,complement(join(iPr_def_11,X0)))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19026,c_2343]) ).
tcf(c_19099,plain,
! [X0: $i] : composition(converse(composition(X0,complement(composition(converse(X0),iPr_def_10)))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19029,c_3196]) ).
tcf(c_19100,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,iPr_def_10)))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19025,c_3196]) ).
tcf(c_19102,plain,
composition(converse(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19058,c_3196]) ).
tcf(c_19103,plain,
! [X0: $i] : composition(converse(join(X0,complement(converse(complement(converse(iPr_def_11)))))),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19049,c_18951]) ).
tcf(c_19104,plain,
! [X0: $i] : composition(converse(join(complement(converse(complement(converse(iPr_def_11)))),X0)),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19048,c_18476]) ).
tcf(c_19105,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19043,c_18476]) ).
tcf(c_19106,plain,
! [X0: $i] : composition(converse(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10)))))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19057,c_3196]) ).
tcf(c_19107,plain,
! [X0: $i] : composition(converse(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19055,c_3196]) ).
tcf(c_19108,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10))))),iPr_def_10) = composition(converse(X0),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19044,c_18951]) ).
tcf(c_19109,plain,
! [X0: $i,X1: $i] : composition(converse(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10))))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19030,c_3196]) ).
tcf(c_19110,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10)))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19033,c_3196]) ).
tcf(c_19112,plain,
! [X0: $i] : composition(converse(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10)))))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_19059,c_3196]) ).
tcf(c_19139,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_11))),iPr_def_10) = composition(converse(join(X0,X1)),iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_18951]) ).
tcf(c_19141,plain,
composition(converse(top),iPr_def_10) = composition(converse(iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_209,c_18951]) ).
tcf(c_19142,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(X0),iPr_def_10)),complement(composition(converse(join(X0,iPr_def_11)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18951,c_433]) ).
tcf(c_19143,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),iPr_def_10),composition(X1,iPr_def_10)) = composition(join(converse(join(X0,iPr_def_11)),X1),iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_54]) ).
tcf(c_19144,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,iPr_def_11)),composition(iPr_def_10,X1)) = composition(composition(converse(X0),iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18951,c_52]) ).
tcf(c_19145,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(converse(X1),iPr_def_10)) = composition(join(X0,converse(join(X1,iPr_def_11))),iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_54]) ).
tcf(c_19146,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(converse(join(X0,iPr_def_11))),complement(composition(converse(X0),iPr_def_10))),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_18951,c_362]) ).
tcf(c_19147,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(converse(join(X0,iPr_def_11))),complement(composition(converse(X0),iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_76]) ).
tcf(c_19148,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(join(X0,iPr_def_11),complement(composition(converse(X0),iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_350]) ).
tcf(c_19149,plain,
! [X0: $i] : composition(converse(iPr_def_10),join(X0,iPr_def_11)) = converse(composition(converse(X0),iPr_def_10)),
inference(superposition,[status(thm)],[c_18951,c_226]) ).
tcf(c_19151,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(join(X0,iPr_def_11))),composition(top,complement(composition(top,composition(converse(X0),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18951,c_14347]) ).
tcf(c_19152,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(converse(join(X0,iPr_def_11))),complement(composition(converse(X0),iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_18951,c_434]) ).
tcf(c_19153,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(join(X0,iPr_def_11))),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18951,c_349]) ).
tcf(c_19154,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,iPr_def_11),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18951,c_432]) ).
tcf(c_19155,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(converse(join(X1,iPr_def_11))),complement(composition(converse(X1),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_18951,c_9023]) ).
tcf(c_19156,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(join(X1,iPr_def_11)))),complement(composition(X0,composition(converse(X1),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18951,c_433]) ).
tcf(c_19161,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(iPr_def_11,composition(complement(composition(top,iPr_def_11)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18560,c_433]) ).
tcf(c_19162,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(top,iPr_def_11)))) = composition(join(iPr_def_11,X0),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_54]) ).
tcf(c_19163,plain,
! [X0: $i] : composition(iPr_def_11,composition(complement(composition(top,iPr_def_11)),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_18560,c_52]) ).
tcf(c_19164,plain,
! [X0: $i] : join(composition(X0,complement(composition(top,iPr_def_11))),zero) = composition(join(X0,iPr_def_11),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_54]) ).
tcf(c_19165,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_11))),join(composition(converse(iPr_def_11),complement(zero)),X0)) = join(complement(complement(composition(top,iPr_def_11))),X0),
inference(superposition,[status(thm)],[c_18560,c_362]) ).
tcf(c_19167,plain,
composition(join(one,iPr_def_11),complement(composition(top,iPr_def_11))) = join(complement(composition(top,iPr_def_11)),zero),
inference(superposition,[status(thm)],[c_18560,c_1767]) ).
tcf(c_19168,plain,
join(complement(complement(composition(top,iPr_def_11))),composition(converse(iPr_def_11),complement(zero))) = complement(complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_76]) ).
tcf(c_19174,plain,
! [X0: $i] : composition(iPr_def_11,composition(complement(composition(top,iPr_def_11)),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_19163,c_8217]) ).
tcf(c_19175,plain,
composition(join(iPr_def_11,one),complement(composition(top,iPr_def_11))) = join(zero,complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_19167,c_50,c_49]) ).
tcf(c_19177,plain,
join(iPr_def_11,composition(zero,complement(composition(iPr_def_11,composition(complement(composition(top,iPr_def_11)),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_19161,c_1950]) ).
tcf(c_19178,plain,
join(complement(complement(composition(top,iPr_def_11))),composition(top,iPr_def_11)) = complement(complement(composition(top,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_19168,c_1431,c_18545]) ).
tcf(c_19179,plain,
join(composition(top,iPr_def_11),complement(complement(composition(top,iPr_def_11)))) = complement(complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_19178,c_50,c_49]) ).
tcf(c_19180,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(top,iPr_def_11)))) = composition(join(X0,iPr_def_11),complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_19164,c_50,c_49]) ).
tcf(c_19181,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_11))),join(composition(top,iPr_def_11),X0)) = join(complement(complement(composition(top,iPr_def_11))),X0),
inference(light_normalisation,[status(thm)],[c_19165,c_1431,c_18545]) ).
tcf(c_19182,plain,
! [X0: $i] : join(composition(top,iPr_def_11),join(X0,complement(complement(composition(top,iPr_def_11))))) = join(complement(complement(composition(top,iPr_def_11))),X0),
inference(theory_normalisation,[status(thm)],[c_19181,c_50,c_49]) ).
tcf(c_19183,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_12),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_18563,c_433]) ).
tcf(c_19184,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,top)) = composition(join(converse(iPr_def_12),X0),top),
inference(superposition,[status(thm)],[c_18563,c_54]) ).
tcf(c_19185,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(top,X0)) = composition(composition(top,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_18563,c_52]) ).
tcf(c_19186,plain,
! [X0: $i] : join(composition(X0,top),composition(top,iPr_def_11)) = composition(join(X0,converse(iPr_def_12)),top),
inference(superposition,[status(thm)],[c_18563,c_54]) ).
tcf(c_19187,plain,
! [X0: $i] : join(complement(top),join(composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11))),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_18563,c_362]) ).
tcf(c_19188,plain,
join(complement(top),composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11)))) = complement(top),
inference(superposition,[status(thm)],[c_18563,c_76]) ).
tcf(c_19189,plain,
join(complement(top),composition(iPr_def_12,complement(composition(top,iPr_def_11)))) = complement(top),
inference(superposition,[status(thm)],[c_18563,c_350]) ).
tcf(c_19190,plain,
composition(converse(top),iPr_def_12) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_18563,c_226]) ).
tcf(c_19191,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(converse(iPr_def_12),iPr_def_10))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(superposition,[status(thm)],[c_18563,c_18823]) ).
tcf(c_19192,plain,
composition(top,composition(converse(join(iPr_def_10,join(converse(iPr_def_12),iPr_def_10))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(superposition,[status(thm)],[c_18563,c_18222]) ).
tcf(c_19193,plain,
composition(top,converse(join(iPr_def_10,converse(iPr_def_12)))) = converse(join(iPr_def_10,composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18563,c_16911]) ).
tcf(c_19194,plain,
composition(top,converse(converse(iPr_def_12))) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_18563,c_2354]) ).
tcf(c_19195,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(iPr_def_12)),composition(top,X0)) = composition(join(iPr_def_10,composition(top,iPr_def_11)),X0),
inference(superposition,[status(thm)],[c_18563,c_445]) ).
tcf(c_19196,plain,
composition(converse(join(iPr_def_10,converse(iPr_def_12))),complement(join(iPr_def_10,composition(top,iPr_def_11)))) = zero,
inference(superposition,[status(thm)],[c_18563,c_9562]) ).
tcf(c_19197,plain,
composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_18563,c_9545]) ).
tcf(c_19198,plain,
composition(iPr_def_12,complement(composition(top,iPr_def_11))) = zero,
inference(superposition,[status(thm)],[c_18563,c_9546]) ).
tcf(c_19199,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),top)) = composition(iPr_def_10,composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_18563,c_17451]) ).
tcf(c_19201,plain,
converse(composition(top,iPr_def_11)) = composition(top,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_19190,c_2343]) ).
tcf(c_19203,plain,
join(zero,composition(iPr_def_12,complement(composition(top,iPr_def_11)))) = zero,
inference(light_normalisation,[status(thm)],[c_19189,c_107]) ).
tcf(c_19204,plain,
composition(converse(join(iPr_def_10,converse(iPr_def_12))),zero) = zero,
inference(light_normalisation,[status(thm)],[c_19196,c_107,c_11759]) ).
tcf(c_19205,plain,
composition(top,converse(join(iPr_def_10,converse(iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_19193,c_2343,c_11759]) ).
tcf(c_19206,plain,
join(zero,composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11)))) = zero,
inference(light_normalisation,[status(thm)],[c_19188,c_107]) ).
tcf(c_19207,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),top) = composition(join(X0,converse(iPr_def_12)),top),
inference(light_normalisation,[status(thm)],[c_19186,c_18549]) ).
tcf(c_19208,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),top) = composition(join(converse(iPr_def_12),X0),top),
inference(light_normalisation,[status(thm)],[c_19184,c_18547]) ).
tcf(c_19209,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(iPr_def_12)),composition(top,X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_19195,c_11759]) ).
tcf(c_19210,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_12)))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(theory_normalisation,[status(thm)],[c_19192,c_50,c_49]) ).
tcf(c_19211,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_12)))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_19210,c_107,c_11759]) ).
tcf(c_19212,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_12)))),complement(join(iPr_def_10,composition(top,iPr_def_11))))) = zero,
inference(theory_normalisation,[status(thm)],[c_19191,c_50,c_49]) ).
tcf(c_19213,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_12)))),zero)) = zero,
inference(light_normalisation,[status(thm)],[c_19212,c_107,c_11759]) ).
tcf(c_19214,plain,
! [X0: $i] : join(zero,join(composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11))),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_19187,c_107,c_1336]) ).
tcf(c_19215,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_10)),complement(composition(converse(iPr_def_10),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19078,c_433]) ).
tcf(c_19216,plain,
! [X0: $i] : join(composition(top,iPr_def_10),composition(X0,iPr_def_10)) = composition(join(converse(iPr_def_10),X0),iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_54]) ).
tcf(c_19217,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(iPr_def_10,X0)) = composition(composition(top,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_19078,c_52]) ).
tcf(c_19218,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(top,iPr_def_10)) = composition(join(X0,converse(iPr_def_10)),iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_54]) ).
tcf(c_19219,plain,
! [X0: $i] : join(complement(iPr_def_10),join(composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10))),X0)) = join(complement(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_19078,c_362]) ).
tcf(c_19220,plain,
join(complement(iPr_def_10),composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_76]) ).
tcf(c_19221,plain,
join(complement(iPr_def_10),composition(iPr_def_10,complement(composition(top,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_350]) ).
tcf(c_19222,plain,
converse(composition(top,iPr_def_10)) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_226]) ).
tcf(c_19224,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_10)),composition(top,complement(composition(top,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19078,c_14347]) ).
tcf(c_19225,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_19078,c_434]) ).
tcf(c_19226,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19078,c_349]) ).
tcf(c_19227,plain,
join(iPr_def_11,composition(iPr_def_10,complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19078,c_432]) ).
tcf(c_19228,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_19078,c_9023]) ).
tcf(c_19229,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(iPr_def_10))),complement(composition(X0,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19078,c_433]) ).
tcf(c_19230,plain,
composition(top,composition(top,iPr_def_10)) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_17014]) ).
tcf(c_19233,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19218,c_18522]) ).
tcf(c_19234,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19216,c_18523]) ).
tcf(c_19262,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(zero,complement(complement(join(iPr_def_11,iPr_def_11))))),X0)) = top,
inference(light_normalisation,[status(thm)],[c_374,c_7096]) ).
tcf(c_19264,plain,
! [X0: $i] : join(zero,composition(X0,iPr_def_10)) = composition(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_3213,c_18473]) ).
tcf(c_19280,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(X0,zero)),X1)) = top,
inference(superposition,[status(thm)],[c_1336,c_7392]) ).
tcf(c_19296,plain,
! [X0: $i] : join(X0,join(complement(join(X0,iPr_def_11)),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_12339,c_7392]) ).
tcf(c_19301,plain,
! [X0: $i] : join(X0,join(complement(join(X0,iPr_def_10)),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_13166,c_7392]) ).
tcf(c_19302,plain,
! [X0: $i] : join(X0,join(complement(join(X0,iPr_def_10)),iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_13394,c_7392]) ).
tcf(c_19308,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_191,c_7392]) ).
tcf(c_19318,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(join(X2,one),complement(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_1782,c_7392]) ).
tcf(c_19319,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(join(one,X2),complement(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_1767,c_7392]) ).
tcf(c_19333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,X1),join(complement(composition(join(X0,X2),X1)),X3))) = top,
inference(superposition,[status(thm)],[c_54,c_7392]) ).
tcf(c_19334,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),join(complement(converse(join(X0,X1))),X2))) = top,
inference(superposition,[status(thm)],[c_56,c_7392]) ).
tcf(c_19335,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_59,c_7392]) ).
tcf(c_19336,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),join(complement(complement(X0)),X2))) = top,
inference(superposition,[status(thm)],[c_76,c_7392]) ).
tcf(c_19337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,X2),join(complement(join(X1,join(X0,X2))),X3))) = top,
inference(superposition,[status(thm)],[c_191,c_7392]) ).
tcf(c_19338,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,join(complement(X0),X1))) = top,
inference(superposition,[status(thm)],[c_1336,c_7392]) ).
tcf(c_19339,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(complement(top),X0))) = top,
inference(superposition,[status(thm)],[c_209,c_7392]) ).
tcf(c_19340,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),join(complement(iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_349,c_7392]) ).
tcf(c_19341,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),join(complement(complement(X0)),X2))) = top,
inference(superposition,[status(thm)],[c_350,c_7392]) ).
tcf(c_19342,plain,
! [X0: $i,X1: $i] : join(complement(one),join(composition(converse(X0),complement(X0)),join(complement(complement(one)),X1))) = top,
inference(superposition,[status(thm)],[c_351,c_7392]) ).
tcf(c_19344,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(complement(X0),X1),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_7124,c_7392]) ).
tcf(c_19345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(join(composition(converse(X1),complement(composition(X1,X0))),X2),join(complement(join(complement(X0),X2)),X3))) = top,
inference(superposition,[status(thm)],[c_362,c_7392]) ).
tcf(c_19346,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_7096,c_7392]) ).
tcf(c_19347,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_7123,c_7392]) ).
tcf(c_19348,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_11)),join(join(complement(join(iPr_def_11,complement(X0))),X1),join(complement(join(iPr_def_10,X1)),X2))) = top,
inference(superposition,[status(thm)],[c_369,c_7392]) ).
tcf(c_19349,plain,
! [X0: $i,X1: $i] : join(X0,join(top,join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_7015,c_7392]) ).
tcf(c_19350,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,join(complement(X0),X1))) = top,
inference(superposition,[status(thm)],[c_1429,c_7392]) ).
tcf(c_19351,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))),join(complement(complement(composition(top,X0))),X1))) = top,
inference(superposition,[status(thm)],[c_428,c_7392]) ).
tcf(c_19352,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),join(complement(iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_432,c_7392]) ).
tcf(c_19353,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),join(complement(iPr_def_11),X2))) = top,
inference(superposition,[status(thm)],[c_433,c_7392]) ).
tcf(c_19354,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1),join(complement(join(iPr_def_11,X1)),X2))) = top,
inference(superposition,[status(thm)],[c_434,c_7392]) ).
tcf(c_19355,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,join(complement(top),X0))) = top,
inference(superposition,[status(thm)],[c_11774,c_7392]) ).
tcf(c_19356,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_7122,c_7392]) ).
tcf(c_19357,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_11)),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_7305,c_7392]) ).
tcf(c_19358,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(iPr_def_11,X1)),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_7698,c_7392]) ).
tcf(c_19359,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_2345,c_7392]) ).
tcf(c_19360,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),join(complement(iPr_def_11),X2))) = top,
inference(superposition,[status(thm)],[c_776,c_7392]) ).
tcf(c_19361,plain,
! [X0: $i] : join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),join(complement(iPr_def_11),X0))) = top,
inference(superposition,[status(thm)],[c_12326,c_7392]) ).
tcf(c_19362,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,join(complement(X0),X1))) = top,
inference(superposition,[status(thm)],[c_7769,c_7392]) ).
tcf(c_19363,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_1679,c_7392]) ).
tcf(c_19364,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,iPr_def_11))),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_1680,c_7392]) ).
tcf(c_19365,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),join(complement(composition(join(X1,one),X0)),X2))) = top,
inference(superposition,[status(thm)],[c_1782,c_7392]) ).
tcf(c_19366,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),join(complement(composition(join(one,X1),X0)),X2))) = top,
inference(superposition,[status(thm)],[c_1767,c_7392]) ).
tcf(c_19368,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(complement(join(iPr_def_11,complement(X0))),X1))) = top,
inference(superposition,[status(thm)],[c_1888,c_7392]) ).
tcf(c_19369,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_11),join(complement(join(X0,iPr_def_11)),X1))) = top,
inference(superposition,[status(thm)],[c_2326,c_7392]) ).
tcf(c_19370,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(top,complement(composition(top,X0))),join(complement(complement(X0)),X1))) = top,
inference(superposition,[status(thm)],[c_2356,c_7392]) ).
tcf(c_19371,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(complement(iPr_def_11),X0))) = top,
inference(superposition,[status(thm)],[c_3207,c_7392]) ).
tcf(c_19372,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),join(complement(join(iPr_def_11,X0)),X1))) = top,
inference(superposition,[status(thm)],[c_3214,c_7392]) ).
tcf(c_19373,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_12),join(complement(complement(iPr_def_12)),X0))) = top,
inference(superposition,[status(thm)],[c_13163,c_7392]) ).
tcf(c_19374,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(complement(top),X0))) = top,
inference(superposition,[status(thm)],[c_4192,c_7392]) ).
tcf(c_19376,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(complement(iPr_def_12),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_13559,c_7392]) ).
tcf(c_19377,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,complement(X0)),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_7426,c_7392]) ).
tcf(c_19379,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),X1))) = top,
inference(superposition,[status(thm)],[c_11158,c_7392]) ).
tcf(c_19380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_11))),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_7700,c_7392]) ).
tcf(c_19381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_11,X2))),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_7830,c_7392]) ).
tcf(c_19382,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X0,X1),join(complement(join(X0,X1)),X2))) = top,
inference(superposition,[status(thm)],[c_7878,c_7392]) ).
tcf(c_19383,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),join(complement(join(iPr_def_11,X0)),X1))) = top,
inference(superposition,[status(thm)],[c_10560,c_7392]) ).
tcf(c_19384,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_8543,c_7392]) ).
tcf(c_19385,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_8588,c_7392]) ).
tcf(c_19386,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),join(complement(join(X0,iPr_def_11)),X2))) = top,
inference(superposition,[status(thm)],[c_9023,c_7392]) ).
tcf(c_19387,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,complement(iPr_def_12)),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_9125,c_7392]) ).
tcf(c_19388,plain,
! [X0: $i,X1: $i] : join(one,join(join(converse(complement(one)),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_9175,c_7392]) ).
tcf(c_19389,plain,
! [X0: $i,X1: $i] : join(complement(one),join(composition(X0,complement(converse(X0))),join(complement(complement(one)),X1))) = top,
inference(superposition,[status(thm)],[c_9621,c_7392]) ).
tcf(c_19390,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_12,X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_11838,c_7392]) ).
tcf(c_19391,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(complement(one),X0),join(complement(composition(top,X0)),X1))) = top,
inference(superposition,[status(thm)],[c_11631,c_7392]) ).
tcf(c_19392,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(top,complement(X0)),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_11752,c_7392]) ).
tcf(c_19394,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_12),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_11837,c_7392]) ).
tcf(c_19395,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,complement(composition(converse(X0),iPr_def_11))),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_11899,c_7392]) ).
tcf(c_19397,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_11),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_11990,c_7392]) ).
tcf(c_19398,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_12)),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_12163,c_7392]) ).
tcf(c_19399,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_12),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_12210,c_7392]) ).
tcf(c_19400,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(complement(converse(complement(converse(iPr_def_11)))),X0),join(complement(join(iPr_def_11,X0)),X1))) = top,
inference(superposition,[status(thm)],[c_12338,c_7392]) ).
tcf(c_19401,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,complement(converse(complement(converse(iPr_def_11))))),join(complement(join(X0,iPr_def_11)),X1))) = top,
inference(superposition,[status(thm)],[c_12339,c_7392]) ).
tcf(c_19402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_12))),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_12476,c_7392]) ).
tcf(c_19403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_12,X2))),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_15206,c_7392]) ).
tcf(c_19404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(X2,complement(X0))),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_12833,c_7392]) ).
tcf(c_19405,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,join(X1,complement(iPr_def_12))),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_13561,c_7392]) ).
tcf(c_19406,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(complement(iPr_def_12),X0),join(complement(join(complement(iPr_def_12),X0)),X1))) = top,
inference(superposition,[status(thm)],[c_13165,c_7392]) ).
tcf(c_19407,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,complement(iPr_def_12)),join(complement(join(X0,complement(iPr_def_12))),X1))) = top,
inference(superposition,[status(thm)],[c_13166,c_7392]) ).
tcf(c_19408,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(X0,iPr_def_11)),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_13297,c_7392]) ).
tcf(c_19409,plain,
! [X0: $i] : join(iPr_def_10,join(complement(composition(top,iPr_def_11)),join(complement(iPr_def_10),X0))) = top,
inference(superposition,[status(thm)],[c_13295,c_7392]) ).
tcf(c_19410,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_13315,c_7392]) ).
tcf(c_19411,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(X0,iPr_def_11)),top),join(complement(iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_13389,c_7392]) ).
tcf(c_19412,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(iPr_def_11,X1))),top),join(complement(iPr_def_10),X2))) = top,
inference(superposition,[status(thm)],[c_13365,c_7392]) ).
tcf(c_19413,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(composition(top,iPr_def_11)),top),join(complement(iPr_def_10),X0))) = top,
inference(superposition,[status(thm)],[c_13387,c_7392]) ).
tcf(c_19414,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(composition(complement(join(iPr_def_11,X0)),top),X1),join(complement(join(iPr_def_10,X1)),X2))) = top,
inference(superposition,[status(thm)],[c_13393,c_7392]) ).
tcf(c_19415,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,composition(complement(join(iPr_def_11,X1)),top)),join(complement(join(X0,iPr_def_10)),X2))) = top,
inference(superposition,[status(thm)],[c_13394,c_7392]) ).
tcf(c_19417,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),join(complement(join(iPr_def_10,composition(X1,top))),X2))) = top,
inference(superposition,[status(thm)],[c_16170,c_7392]) ).
tcf(c_19418,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(complement(join(iPr_def_11,X0)),top),join(complement(complement(iPr_def_12)),X1))) = top,
inference(superposition,[status(thm)],[c_13916,c_7392]) ).
tcf(c_19420,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(top,X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_14135,c_7392]) ).
tcf(c_19422,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(composition(top,iPr_def_10),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_14229,c_7392]) ).
tcf(c_19423,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),join(complement(iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_14347,c_7392]) ).
tcf(c_19424,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_11))),join(complement(iPr_def_10),X2))) = top,
inference(superposition,[status(thm)],[c_14735,c_7392]) ).
tcf(c_19425,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(join(composition(top,iPr_def_11),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_15739,c_7392]) ).
tcf(c_19426,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(composition(top,complement(iPr_def_12)),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_15762,c_7392]) ).
tcf(c_19427,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),join(complement(complement(composition(iPr_def_12,X0))),X1))) = top,
inference(superposition,[status(thm)],[c_15920,c_7392]) ).
tcf(c_19428,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),join(complement(complement(composition(iPr_def_11,X0))),X1))) = top,
inference(superposition,[status(thm)],[c_15924,c_7392]) ).
tcf(c_19429,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_12,X0)),top),join(complement(composition(complement(composition(iPr_def_12,X0)),top)),X1))) = top,
inference(superposition,[status(thm)],[c_16092,c_7392]) ).
tcf(c_19430,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_11,X0)),top),join(complement(composition(complement(composition(iPr_def_11,X0)),top)),X1))) = top,
inference(superposition,[status(thm)],[c_16108,c_7392]) ).
tcf(c_19432,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),join(complement(iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_17888,c_7392]) ).
tcf(c_19433,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(join(complement(converse(iPr_def_11)),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_18182,c_7392]) ).
tcf(c_19435,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),join(complement(iPr_def_11),X0))) = top,
inference(superposition,[status(thm)],[c_18518,c_7392]) ).
tcf(c_19436,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(join(converse(complement(converse(iPr_def_11))),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_18543,c_7392]) ).
tcf(c_19437,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),join(complement(iPr_def_11),X1))) = top,
inference(superposition,[status(thm)],[c_18626,c_7392]) ).
tcf(c_19438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(complement(join(X0,X1)),X2)),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_7392,c_7392]) ).
tcf(c_19440,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,join(complement(join(X0,X1)),X2)),complement(top))) = top,
inference(superposition,[status(thm)],[c_7392,c_375]) ).
tcf(c_19441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(complement(join(X0,X1)),X2)),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_7392,c_50]) ).
tcf(c_19444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(join(join(X0,X1),X2)),X3)))) = top,
inference(superposition,[status(thm)],[c_7392,c_50]) ).
tcf(c_19446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(join(X0,X2)),X3)))) = join(X1,top),
inference(superposition,[status(thm)],[c_7392,c_191]) ).
tcf(c_19447,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(join(X1,X0)),X2))) = top,
inference(superposition,[status(thm)],[c_7392,c_191]) ).
tcf(c_19448,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(zero,X0)),X1)) = top,
inference(superposition,[status(thm)],[c_7392,c_1336]) ).
tcf(c_19449,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(complement(join(iPr_def_11,X0)),X1))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_7392,c_18476]) ).
tcf(c_19455,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,join(complement(join(iPr_def_11,X0)),X1)),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_7392,c_11158]) ).
tcf(c_19457,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(complement(join(iPr_def_11,X0)),X1)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7392,c_391]) ).
tcf(c_19460,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,join(complement(join(converse(X0),X1)),X2)))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7392,c_776]) ).
tcf(c_19462,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(complement(join(converse(X0),X1)),X2)))) = converse(top),
inference(superposition,[status(thm)],[c_7392,c_221]) ).
tcf(c_19463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(complement(join(composition(converse(X2),complement(composition(X2,X0))),X1)),X3))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_7392,c_362]) ).
tcf(c_19464,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))),X2)) = top,
inference(superposition,[status(thm)],[c_7392,c_362]) ).
tcf(c_19465,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(complement(join(iPr_def_10,X1)),X2))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_7392,c_9109]) ).
tcf(c_19466,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(complement(join(complement(join(iPr_def_11,complement(X1))),X0)),X2))) = join(complement(join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_7392,c_369]) ).
tcf(c_19467,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(complement(join(iPr_def_10,X0)),X1)),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7392,c_18626]) ).
tcf(c_19468,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(complement(join(iPr_def_10,X0)),X1))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_7392,c_16861]) ).
tcf(c_19469,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(complement(join(iPr_def_10,X0)),X1)),top)))) = zero,
inference(superposition,[status(thm)],[c_7392,c_9562]) ).
tcf(c_19470,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(complement(join(iPr_def_10,X0)),X1)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7392,c_392]) ).
tcf(c_19471,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0))))),X1)) = top,
inference(superposition,[status(thm)],[c_7392,c_369]) ).
tcf(c_19475,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(complement(join(composition(converse(X1),complement(composition(X1,iPr_def_10))),X0)),X2))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7392,c_434]) ).
tcf(c_19476,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10))))),X1)) = top,
inference(superposition,[status(thm)],[c_7392,c_434]) ).
tcf(c_19477,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(complement(join(X0,iPr_def_10)),X1)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7392,c_9109]) ).
tcf(c_19478,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(join(converse(iPr_def_10),X0)),X1)),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_7392,c_16856]) ).
tcf(c_19482,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(complement(join(one,X0)),X1)))) = converse(top),
inference(superposition,[status(thm)],[c_7392,c_1723]) ).
tcf(c_19483,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,join(complement(join(one,X1)),X2)),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_7392,c_1767]) ).
tcf(c_19486,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(join(converse(iPr_def_11),X0)),X1)),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_7392,c_18471]) ).
tcf(c_19487,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(complement(join(iPr_def_12,X0)),X1)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7392,c_11839]) ).
tcf(c_19489,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(join(iPr_def_12,X0)),X1))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7392,c_3214]) ).
tcf(c_19490,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,iPr_def_12)),X0)) = top,
inference(superposition,[status(thm)],[c_7392,c_3214]) ).
tcf(c_19497,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(X0,X0)),X1)) = top,
inference(superposition,[status(thm)],[c_7392,c_7878]) ).
tcf(c_19502,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(join(complement(converse(complement(converse(iPr_def_11)))),X0)),X1))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7392,c_12338]) ).
tcf(c_19503,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))),X0)) = top,
inference(superposition,[status(thm)],[c_7392,c_12338]) ).
tcf(c_19507,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(join(iPr_def_10,complement(iPr_def_12))),X0)) = top,
inference(superposition,[status(thm)],[c_7392,c_13165]) ).
tcf(c_19508,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(complement(join(composition(complement(join(iPr_def_11,X1)),top),X0)),X2)),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_7392,c_16170]) ).
tcf(c_19509,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(complement(join(composition(complement(join(iPr_def_11,X1)),top),X0)),X2))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7392,c_13393]) ).
tcf(c_19510,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top))),X1)) = top,
inference(superposition,[status(thm)],[c_7392,c_13393]) ).
tcf(c_19517,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,X0)) = top,
inference(light_normalisation,[status(thm)],[c_19490,c_1671,c_3207]) ).
tcf(c_19520,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(iPr_def_10,X0))) = top,
inference(light_normalisation,[status(thm)],[c_19371,c_1671]) ).
tcf(c_19525,plain,
! [X0: $i,X1: $i] : join(X0,join(top,join(zero,X1))) = top,
inference(light_normalisation,[status(thm)],[c_19349,c_107]) ).
tcf(c_19529,plain,
! [X0: $i] : join(X0,join(iPr_def_10,complement(join(X0,iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_19302,c_50,c_49]) ).
tcf(c_19530,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(join(X0,iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_19296,c_50,c_49]) ).
tcf(c_19535,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),join(zero,X1))) = top,
inference(light_normalisation,[status(thm)],[c_19335,c_107]) ).
tcf(c_19536,plain,
! [X0: $i] : join(X0,join(complement(iPr_def_12),complement(join(X0,iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_19301,c_50,c_49]) ).
tcf(c_19537,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(complement(iPr_def_12)),X0)) = top,
inference(light_normalisation,[status(thm)],[c_19507,c_13163]) ).
tcf(c_19542,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,join(complement(top),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19394,c_50,c_49]) ).
tcf(c_19543,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,join(zero,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_19542,c_107]) ).
tcf(c_19546,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,join(complement(top),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19390,c_50,c_49]) ).
tcf(c_19547,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,join(zero,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_19546,c_107]) ).
tcf(c_19550,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(complement(top),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19356,c_50,c_49]) ).
tcf(c_19551,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(zero,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_19550,c_107]) ).
tcf(c_19552,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,join(complement(top),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19347,c_50,c_49]) ).
tcf(c_19553,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,join(zero,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_19552,c_107]) ).
tcf(c_19558,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(top),join(X1,composition(top,X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_19420,c_50,c_49]) ).
tcf(c_19559,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(zero,join(X1,composition(top,X0)))) = top,
inference(light_normalisation,[status(thm)],[c_19558,c_107]) ).
tcf(c_19560,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,join(complement(X1),composition(top,X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19559,c_50,c_49]) ).
tcf(c_19567,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,complement(composition(top,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_19409,c_50,c_49]) ).
tcf(c_19568,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(composition(top,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_19567,c_192]) ).
tcf(c_19569,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,complement(join(X1,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_19408,c_50,c_49]) ).
tcf(c_19570,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(join(X1,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_19569,c_192]) ).
tcf(c_19571,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(top),join(X1,composition(top,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_19392,c_50,c_49]) ).
tcf(c_19572,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,join(X1,composition(top,complement(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_19571,c_107]) ).
tcf(c_19573,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),join(complement(top),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19387,c_50,c_49]) ).
tcf(c_19574,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),join(zero,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_19573,c_107]) ).
tcf(c_19575,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(zero,join(X1,complement(iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_19574,c_50,c_49]) ).
tcf(c_19576,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,complement(join(iPr_def_11,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_19385,c_50,c_49]) ).
tcf(c_19577,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(join(iPr_def_11,X1))))) = top,
inference(light_normalisation,[status(thm)],[c_19576,c_192]) ).
tcf(c_19578,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),join(complement(top),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19377,c_50,c_49]) ).
tcf(c_19579,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),join(zero,X2)))) = top,
inference(light_normalisation,[status(thm)],[c_19578,c_107]) ).
tcf(c_19580,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(zero,join(X2,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_19579,c_50,c_49]) ).
tcf(c_19581,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,join(complement(top),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19376,c_50,c_49]) ).
tcf(c_19582,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,join(zero,X1)))) = top,
inference(light_normalisation,[status(thm)],[c_19581,c_107]) ).
tcf(c_19583,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(top),join(X1,converse(complement(converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19359,c_50,c_49]) ).
tcf(c_19584,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,join(X1,converse(complement(converse(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_19583,c_107]) ).
tcf(c_19585,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,join(complement(top),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19344,c_50,c_49]) ).
tcf(c_19586,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,join(zero,X2)))) = top,
inference(light_normalisation,[status(thm)],[c_19585,c_107]) ).
tcf(c_19589,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(complement(join(one,X0)),X1)))) = top,
inference(light_normalisation,[status(thm)],[c_19482,c_2343]) ).
tcf(c_19590,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(top),join(X0,join(X1,composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_19422,c_50,c_49]) ).
tcf(c_19591,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(zero,join(X0,join(X1,composition(top,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_19590,c_107]) ).
tcf(c_19592,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(top),join(X0,join(X1,composition(top,iPr_def_12))))) = top,
inference(theory_normalisation,[status(thm)],[c_19399,c_50,c_49]) ).
tcf(c_19593,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(zero,join(X0,join(X1,composition(top,iPr_def_12))))) = top,
inference(light_normalisation,[status(thm)],[c_19592,c_107]) ).
tcf(c_19594,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(complement(top),X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_19398,c_50,c_49]) ).
tcf(c_19595,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(zero,X2))))) = top,
inference(light_normalisation,[status(thm)],[c_19594,c_107]) ).
tcf(c_19596,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(top),join(X0,join(X1,composition(top,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_19397,c_50,c_49]) ).
tcf(c_19597,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(zero,join(X0,join(X1,composition(top,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_19596,c_107]) ).
tcf(c_19598,plain,
! [X0: $i,X1: $i] : join(one,join(complement(top),join(X0,join(X1,converse(complement(one)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19388,c_50,c_49]) ).
tcf(c_19599,plain,
! [X0: $i,X1: $i] : join(one,join(zero,join(X0,join(X1,converse(complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_19598,c_107]) ).
tcf(c_19600,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X0,join(X1,join(complement(join(X0,X1)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19382,c_50,c_49]) ).
tcf(c_19603,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,join(complement(join(iPr_def_11,X0)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19372,c_50,c_49]) ).
tcf(c_19604,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,join(complement(join(X0,iPr_def_11)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19369,c_50,c_49]) ).
tcf(c_19605,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,complement(converse(complement(converse(iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19361,c_50,c_49]) ).
tcf(c_19606,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,complement(converse(complement(converse(iPr_def_11))))))) = top,
inference(light_normalisation,[status(thm)],[c_19605,c_1671]) ).
tcf(c_19609,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,join(complement(top),X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_19358,c_50,c_49]) ).
tcf(c_19610,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,join(zero,X2))))) = top,
inference(light_normalisation,[status(thm)],[c_19609,c_107]) ).
tcf(c_19611,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(complement(top),X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_19357,c_50,c_49]) ).
tcf(c_19612,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(zero,X2))))) = top,
inference(light_normalisation,[status(thm)],[c_19611,c_107]) ).
tcf(c_19614,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(complement(join(converse(X0),X1)),X2)))) = top,
inference(light_normalisation,[status(thm)],[c_19462,c_2343]) ).
tcf(c_19617,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(top),join(X2,complement(join(X0,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19440,c_50,c_49]) ).
tcf(c_19618,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(zero,join(X2,complement(join(X0,X1)))))) = top,
inference(light_normalisation,[status(thm)],[c_19617,c_107]) ).
tcf(c_19619,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(complement(top),join(X0,join(X1,converse(complement(converse(iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19436,c_50,c_49]) ).
tcf(c_19620,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(zero,join(X0,join(X1,converse(complement(converse(iPr_def_11))))))) = top,
inference(light_normalisation,[status(thm)],[c_19619,c_107]) ).
tcf(c_19621,plain,
! [X0: $i,X1: $i] : join(complement(top),join(X0,join(X1,join(converse(iPr_def_12),complement(converse(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19433,c_50,c_49]) ).
tcf(c_19624,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(top),join(X0,join(X1,composition(top,complement(iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19426,c_50,c_49]) ).
tcf(c_19625,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(zero,join(X0,join(X1,composition(top,complement(iPr_def_12)))))) = top,
inference(light_normalisation,[status(thm)],[c_19624,c_107]) ).
tcf(c_19626,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(complement(top),join(X0,join(X1,composition(top,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_19425,c_50,c_49]) ).
tcf(c_19627,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(zero,join(X0,join(X1,composition(top,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_19626,c_107]) ).
tcf(c_19628,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,join(X1,join(complement(iPr_def_12),composition(top,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_19627,c_50,c_49]) ).
tcf(c_19631,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,complement(join(X1,join(X2,iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19424,c_50,c_49]) ).
tcf(c_19632,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(join(X1,join(X2,iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_19631,c_192]) ).
tcf(c_19633,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(complement(composition(top,iPr_def_11)),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_19413,c_50,c_49]) ).
tcf(c_19634,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(complement(composition(top,iPr_def_11)),top)))) = top,
inference(light_normalisation,[status(thm)],[c_19633,c_192]) ).
tcf(c_19635,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(complement(join(X1,iPr_def_11)),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_19411,c_50,c_49]) ).
tcf(c_19636,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(complement(join(X1,iPr_def_11)),top)))) = top,
inference(light_normalisation,[status(thm)],[c_19635,c_192]) ).
tcf(c_19637,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(complement(join(iPr_def_11,X1)),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_19410,c_50,c_49]) ).
tcf(c_19638,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(complement(join(iPr_def_11,X1)),top)))) = top,
inference(light_normalisation,[status(thm)],[c_19637,c_192]) ).
tcf(c_19639,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),join(complement(top),X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_19405,c_50,c_49]) ).
tcf(c_19640,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),join(zero,X2))))) = top,
inference(light_normalisation,[status(thm)],[c_19639,c_107]) ).
tcf(c_19641,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(zero,join(X2,complement(iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19640,c_50,c_49]) ).
tcf(c_19642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),join(complement(top),X3))))) = top,
inference(theory_normalisation,[status(thm)],[c_19404,c_50,c_49]) ).
tcf(c_19643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),join(zero,X3))))) = top,
inference(light_normalisation,[status(thm)],[c_19642,c_107]) ).
tcf(c_19644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(zero,join(complement(X0),X3))))) = top,
inference(theory_normalisation,[status(thm)],[c_19643,c_50,c_49]) ).
tcf(c_19645,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(composition(top,X0)),join(X1,composition(complement(one),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_19391,c_50,c_49]) ).
tcf(c_19648,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(complement(join(iPr_def_12,X0)),X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_19487,c_11762]) ).
tcf(c_19649,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(complement(join(X0,iPr_def_10)),X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_19477,c_11762]) ).
tcf(c_19652,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(complement(join(iPr_def_10,X0)),X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_19470,c_11762]) ).
tcf(c_19653,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(complement(join(iPr_def_10,X0)),X1))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_19468,c_2343]) ).
tcf(c_19654,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(complement(join(iPr_def_11,X0)),X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_19457,c_11762]) ).
tcf(c_19655,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(complement(join(iPr_def_11,X0)),X1))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_19449,c_2343]) ).
tcf(c_19656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(join(X0,join(X1,X2))),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_19444,c_50,c_49]) ).
tcf(c_19657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(complement(join(X0,X1)),join(X2,X3)))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_19441,c_50,c_49]) ).
tcf(c_19658,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),join(complement(join(X0,complement(iPr_def_12))),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19407,c_50,c_49]) ).
tcf(c_19659,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_12),join(X0,join(complement(join(complement(iPr_def_12),X0)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19406,c_50,c_49]) ).
tcf(c_19660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,join(complement(top),X3)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19403,c_50,c_49]) ).
tcf(c_19661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,join(zero,X3)))))) = top,
inference(light_normalisation,[status(thm)],[c_19660,c_107]) ).
tcf(c_19662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,join(complement(top),X3)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19402,c_50,c_49]) ).
tcf(c_19663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,join(zero,X3)))))) = top,
inference(light_normalisation,[status(thm)],[c_19662,c_107]) ).
tcf(c_19664,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(X1,complement(composition(converse(X1),iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19395,c_50,c_49]) ).
tcf(c_19665,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(X1,complement(composition(converse(X1),iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_19664,c_192]) ).
tcf(c_19666,plain,
! [X0: $i,X1: $i] : join(complement(one),join(complement(complement(one)),join(X0,composition(X1,complement(converse(X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19389,c_50,c_49]) ).
tcf(c_19667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,join(complement(top),X3)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19381,c_50,c_49]) ).
tcf(c_19668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,join(zero,X3)))))) = top,
inference(light_normalisation,[status(thm)],[c_19667,c_107]) ).
tcf(c_19669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,join(complement(top),X3)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19380,c_50,c_49]) ).
tcf(c_19670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,join(zero,X3)))))) = top,
inference(light_normalisation,[status(thm)],[c_19669,c_107]) ).
tcf(c_19671,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(converse(X1),complement(composition(X1,iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19364,c_50,c_49]) ).
tcf(c_19672,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_11)))))) = top,
inference(light_normalisation,[status(thm)],[c_19671,c_192]) ).
tcf(c_19673,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(X1,complement(composition(converse(X1),iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19352,c_50,c_49]) ).
tcf(c_19674,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(X1,complement(composition(converse(X1),iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_19673,c_1671]) ).
tcf(c_19675,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(X1,complement(composition(converse(X1),iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19674,c_50,c_49]) ).
tcf(c_19676,plain,
! [X0: $i,X1: $i] : join(complement(one),join(complement(complement(one)),join(X0,composition(converse(X1),complement(X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_19342,c_50,c_49]) ).
tcf(c_19677,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19340,c_50,c_49]) ).
tcf(c_19678,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_19677,c_1671]) ).
tcf(c_19679,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(converse(X1),complement(composition(X1,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19678,c_50,c_49]) ).
tcf(c_19681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(join(X1,join(X0,X2))),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_19337,c_50,c_49]) ).
tcf(c_19685,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_10,complement(join(iPr_def_11,complement(X0))))),X1)) = top,
inference(light_normalisation,[status(thm)],[c_19471,c_17997]) ).
tcf(c_19686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(complement(top),join(X2,join(X3,complement(join(X0,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19438,c_50,c_49]) ).
tcf(c_19687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(zero,join(X2,join(X3,complement(join(X0,X1))))))) = top,
inference(light_normalisation,[status(thm)],[c_19686,c_107]) ).
tcf(c_19688,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(complement(complement(iPr_def_12)),join(X0,composition(complement(join(iPr_def_11,X1)),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_19418,c_50,c_49]) ).
tcf(c_19689,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(complement(join(X1,join(iPr_def_11,X2))),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_19412,c_50,c_49]) ).
tcf(c_19690,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(complement(join(X1,join(iPr_def_11,X2))),top)))) = top,
inference(light_normalisation,[status(thm)],[c_19689,c_192]) ).
tcf(c_19693,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(complement(complement(X0)),join(X1,composition(top,complement(composition(top,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19370,c_50,c_49]) ).
tcf(c_19694,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X0,join(X1,composition(top,complement(composition(top,X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_19693,c_7732]) ).
tcf(c_19695,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(X0),composition(top,complement(composition(top,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19694,c_50,c_49]) ).
tcf(c_19697,plain,
! [X0: $i,X1: $i] : composition(top,complement(join(iPr_def_10,composition(join(X0,join(complement(join(iPr_def_10,X0)),X1)),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_19469,c_2343]) ).
tcf(c_19698,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X0,X1)) = top,
inference(light_normalisation,[status(thm)],[c_19464,c_76,c_7732]) ).
tcf(c_19700,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(top,join(X1,complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_19455,c_50,c_49]) ).
tcf(c_19701,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(top,join(X1,complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_19700,c_107]) ).
tcf(c_19702,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19435,c_50,c_49]) ).
tcf(c_19703,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_19702,c_1671]) ).
tcf(c_19704,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19703,c_50,c_49]) ).
tcf(c_19706,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(converse(complement(converse(iPr_def_11)))),join(complement(join(X0,iPr_def_11)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19401,c_50,c_49]) ).
tcf(c_19707,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),join(X0,join(complement(join(iPr_def_11,X0)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_19400,c_50,c_49]) ).
tcf(c_19708,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,X0)),join(X1,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19383,c_50,c_49]) ).
tcf(c_19711,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),top))))) = top,
inference(theory_normalisation,[status(thm)],[c_19363,c_50,c_49]) ).
tcf(c_19712,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(converse(X1),composition(complement(composition(X1,iPr_def_11)),top))))) = top,
inference(light_normalisation,[status(thm)],[c_19711,c_192]) ).
tcf(c_19713,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(complement(X0)),join(X1,composition(X2,complement(composition(converse(X2),X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19341,c_50,c_49]) ).
tcf(c_19714,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X0,join(X1,composition(X2,complement(composition(converse(X2),X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_19713,c_7732]) ).
tcf(c_19715,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),composition(X2,complement(composition(converse(X2),X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19714,c_50,c_49]) ).
tcf(c_19716,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(complement(complement(X0)),join(X1,composition(converse(X2),complement(composition(X2,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19336,c_50,c_49]) ).
tcf(c_19717,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X0,join(X1,composition(converse(X2),complement(composition(X2,X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_19716,c_7732]) ).
tcf(c_19718,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),composition(converse(X2),complement(composition(X2,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19717,c_50,c_49]) ).
tcf(c_19719,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(composition(complement(join(iPr_def_11,X1)),top),join(complement(join(X0,iPr_def_10)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19415,c_50,c_49]) ).
tcf(c_19720,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),join(X1,join(complement(join(iPr_def_10,X1)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19414,c_50,c_49]) ).
tcf(c_19721,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(X0,join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_11,complement(join(iPr_def_11,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19384,c_50,c_49]) ).
tcf(c_19722,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_11,complement(join(iPr_def_11,X1))))))) = top,
inference(light_normalisation,[status(thm)],[c_19721,c_192]) ).
tcf(c_19723,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(complement(join(iPr_def_10,X1)),X2))),top)) = top,
inference(light_normalisation,[status(thm)],[c_19465,c_7015,c_11762]) ).
tcf(c_19724,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(top,composition(converse(X1),complement(composition(X1,composition(top,iPr_def_10)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19432,c_50,c_49]) ).
tcf(c_19725,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(top,composition(converse(X1),complement(composition(X1,composition(top,iPr_def_10)))))))) = top,
inference(light_normalisation,[status(thm)],[c_19724,c_1671]) ).
tcf(c_19726,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(top,composition(converse(X1),complement(composition(X1,composition(top,iPr_def_10)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19725,c_50,c_49]) ).
tcf(c_19727,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(converse(X1),composition(top,complement(composition(top,composition(X1,iPr_def_10)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19423,c_50,c_49]) ).
tcf(c_19728,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(converse(X1),composition(top,complement(composition(top,composition(X1,iPr_def_10)))))))) = top,
inference(light_normalisation,[status(thm)],[c_19727,c_1671]) ).
tcf(c_19729,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(converse(X1),composition(top,complement(composition(top,composition(X1,iPr_def_10)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19728,c_50,c_49]) ).
tcf(c_19730,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(composition(converse(X1),complement(composition(X1,iPr_def_10))),join(complement(join(X0,iPr_def_11)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19386,c_50,c_49]) ).
tcf(c_19731,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),join(X1,join(complement(join(iPr_def_11,X1)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19354,c_50,c_49]) ).
tcf(c_19732,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19353,c_50,c_49]) ).
tcf(c_19733,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,iPr_def_10))))))) = top,
inference(light_normalisation,[status(thm)],[c_19732,c_1671]) ).
tcf(c_19734,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19733,c_50,c_49]) ).
tcf(c_19735,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(complement(join(complement(join(iPr_def_11,complement(X1))),X0)),X2))) = join(top,complement(join(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_19466,c_50,c_49]) ).
tcf(c_19736,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19360,c_50,c_49]) ).
tcf(c_19737,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_19736,c_1671]) ).
tcf(c_19738,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19737,c_50,c_49]) ).
tcf(c_19739,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),join(X1,join(complement(join(iPr_def_10,X1)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_19348,c_50,c_49]) ).
tcf(c_19740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(complement(join(composition(converse(X2),complement(composition(X2,X0))),X1)),X3))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_19463,c_50,c_49]) ).
tcf(c_19741,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),join(X1,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19368,c_50,c_49]) ).
tcf(c_19742,plain,
! [X0: $i,X1: $i] : join(complement(composition(top,X0)),join(complement(complement(composition(top,X0))),join(X1,composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_19351,c_50,c_49]) ).
tcf(c_19743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),join(X2,join(complement(join(complement(X0),X2)),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_19345,c_50,c_49]) ).
tcf(c_19744,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(complement(join(composition(complement(join(iPr_def_11,X1)),top),X0)),X2)),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_19508,c_11762]) ).
tcf(c_19745,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(iPr_def_10,composition(X0,top))),join(X1,composition(join(composition(complement(join(iPr_def_11,X2)),top),X0),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_19417,c_50,c_49]) ).
tcf(c_19746,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,join(X1,complement(join(iPr_def_10,X0))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_19467,c_50,c_49]) ).
tcf(c_19747,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(X0,join(iPr_def_10,join(X1,complement(join(iPr_def_10,X0))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_19746,c_2343]) ).
tcf(c_19748,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(top,composition(converse(join(iPr_def_10,X1)),complement(composition(join(X1,iPr_def_10),composition(top,iPr_def_10)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19437,c_50,c_49]) ).
tcf(c_19749,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(top,composition(converse(join(iPr_def_10,X1)),complement(composition(join(X1,iPr_def_10),composition(top,iPr_def_10)))))))) = top,
inference(light_normalisation,[status(thm)],[c_19748,c_1671]) ).
tcf(c_19750,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X1)),complement(composition(join(X1,iPr_def_10),composition(top,iPr_def_10)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_19749,c_50,c_49]) ).
tcf(c_19776,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(iPr_def_12,composition(complement(composition(top,iPr_def_11)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19198,c_433]) ).
tcf(c_19777,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(top,iPr_def_11)))) = composition(join(iPr_def_12,X0),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_19198,c_54]) ).
tcf(c_19778,plain,
! [X0: $i] : composition(iPr_def_12,composition(complement(composition(top,iPr_def_11)),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_19198,c_52]) ).
tcf(c_19779,plain,
! [X0: $i] : join(composition(X0,complement(composition(top,iPr_def_11))),zero) = composition(join(X0,iPr_def_12),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_19198,c_54]) ).
tcf(c_19780,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_11))),join(composition(converse(iPr_def_12),complement(zero)),X0)) = join(complement(complement(composition(top,iPr_def_11))),X0),
inference(superposition,[status(thm)],[c_19198,c_362]) ).
tcf(c_19782,plain,
composition(join(one,iPr_def_12),complement(composition(top,iPr_def_11))) = join(complement(composition(top,iPr_def_11)),zero),
inference(superposition,[status(thm)],[c_19198,c_1767]) ).
tcf(c_19783,plain,
join(complement(complement(composition(top,iPr_def_11))),composition(converse(iPr_def_12),complement(zero))) = complement(complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_19198,c_76]) ).
tcf(c_19788,plain,
! [X0: $i] : composition(iPr_def_12,composition(complement(composition(top,iPr_def_11)),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_19778,c_8217]) ).
tcf(c_19789,plain,
composition(join(iPr_def_12,one),complement(composition(top,iPr_def_11))) = join(zero,complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_19782,c_50,c_49]) ).
tcf(c_19791,plain,
join(iPr_def_11,composition(zero,complement(composition(iPr_def_12,composition(complement(composition(top,iPr_def_11)),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_19776,c_1950]) ).
tcf(c_19794,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(top,iPr_def_11)))) = composition(join(X0,iPr_def_12),complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_19779,c_50,c_49]) ).
tcf(c_19797,plain,
composition(top,iPr_def_11) = composition(top,iPr_def_12),
inference(demodulation,[status(thm)],[c_19201,c_2357,c_18545]) ).
tcf(c_19800,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(top,composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19797,c_433]) ).
tcf(c_19801,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_12)) = composition(join(top,X0),iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_54]) ).
tcf(c_19802,plain,
! [X0: $i] : composition(composition(top,iPr_def_11),X0) = composition(top,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_19797,c_52]) ).
tcf(c_19803,plain,
! [X0: $i] : join(composition(X0,iPr_def_12),composition(top,iPr_def_11)) = composition(join(X0,top),iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_54]) ).
tcf(c_19804,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(top),complement(composition(top,iPr_def_11))),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_19797,c_362]) ).
tcf(c_19805,plain,
join(complement(iPr_def_12),composition(converse(top),complement(composition(top,iPr_def_11)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_76]) ).
tcf(c_19806,plain,
join(complement(iPr_def_12),composition(top,complement(composition(top,iPr_def_11)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_2356]) ).
tcf(c_19807,plain,
join(complement(composition(top,iPr_def_11)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,iPr_def_12)))) = complement(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_19797,c_428]) ).
tcf(c_19809,plain,
composition(complement(iPr_def_12),composition(top,iPr_def_11)) = composition(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_15252]) ).
tcf(c_19810,plain,
composition(iPr_def_12,composition(top,iPr_def_11)) = composition(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_11840]) ).
tcf(c_19811,plain,
composition(converse(iPr_def_12),top) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_19797,c_2357]) ).
tcf(c_19812,plain,
composition(iPr_def_11,composition(top,iPr_def_11)) = composition(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_382]) ).
tcf(c_19813,plain,
composition(iPr_def_10,composition(top,iPr_def_11)) = composition(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_383]) ).
tcf(c_19814,plain,
composition(top,converse(composition(top,iPr_def_11))) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_19797,c_17788]) ).
tcf(c_19817,plain,
! [X0: $i] : join(composition(X0,iPr_def_12),composition(top,iPr_def_11)) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_19803,c_7015,c_19797]) ).
tcf(c_19818,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_12)) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_19801,c_7096,c_19797]) ).
tcf(c_19819,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,complement(composition(top,iPr_def_11))),X0)) = join(complement(iPr_def_12),X0),
inference(light_normalisation,[status(thm)],[c_19804,c_2343]) ).
tcf(c_19820,plain,
composition(converse(iPr_def_10),top) = composition(top,iPr_def_10),
inference(demodulation,[status(thm)],[c_19222,c_2357]) ).
tcf(c_19821,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_10)),complement(composition(converse(iPr_def_10),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19820,c_433]) ).
tcf(c_19822,plain,
! [X0: $i] : join(composition(top,iPr_def_10),composition(X0,top)) = composition(join(converse(iPr_def_10),X0),top),
inference(superposition,[status(thm)],[c_19820,c_54]) ).
tcf(c_19823,plain,
! [X0: $i] : composition(converse(iPr_def_10),composition(top,X0)) = composition(composition(top,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_19820,c_52]) ).
tcf(c_19824,plain,
! [X0: $i] : join(composition(X0,top),composition(top,iPr_def_10)) = composition(join(X0,converse(iPr_def_10)),top),
inference(superposition,[status(thm)],[c_19820,c_54]) ).
tcf(c_19825,plain,
! [X0: $i] : join(complement(top),join(composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10))),X0)) = join(complement(top),X0),
inference(superposition,[status(thm)],[c_19820,c_362]) ).
tcf(c_19826,plain,
join(complement(top),composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10)))) = complement(top),
inference(superposition,[status(thm)],[c_19820,c_76]) ).
tcf(c_19827,plain,
join(complement(top),composition(iPr_def_10,complement(composition(top,iPr_def_10)))) = complement(top),
inference(superposition,[status(thm)],[c_19820,c_350]) ).
tcf(c_19828,plain,
composition(converse(top),iPr_def_10) = converse(composition(top,iPr_def_10)),
inference(superposition,[status(thm)],[c_19820,c_226]) ).
tcf(c_19829,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(converse(iPr_def_10),iPr_def_10))),complement(join(iPr_def_10,composition(top,iPr_def_10))))) = zero,
inference(superposition,[status(thm)],[c_19820,c_18823]) ).
tcf(c_19830,plain,
composition(top,composition(converse(join(iPr_def_10,join(converse(iPr_def_10),iPr_def_10))),complement(join(iPr_def_10,composition(top,iPr_def_10))))) = zero,
inference(superposition,[status(thm)],[c_19820,c_18222]) ).
tcf(c_19831,plain,
composition(top,converse(join(iPr_def_10,converse(iPr_def_10)))) = converse(join(iPr_def_10,composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19820,c_16911]) ).
tcf(c_19832,plain,
composition(top,converse(converse(iPr_def_10))) = converse(composition(top,iPr_def_10)),
inference(superposition,[status(thm)],[c_19820,c_2354]) ).
tcf(c_19833,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(iPr_def_10)),composition(top,X0)) = composition(join(iPr_def_10,composition(top,iPr_def_10)),X0),
inference(superposition,[status(thm)],[c_19820,c_445]) ).
tcf(c_19834,plain,
composition(converse(join(iPr_def_10,converse(iPr_def_10))),complement(join(iPr_def_10,composition(top,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_19820,c_9562]) ).
tcf(c_19835,plain,
composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_19820,c_9545]) ).
tcf(c_19836,plain,
composition(iPr_def_10,complement(composition(top,iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_19820,c_9546]) ).
tcf(c_19839,plain,
join(zero,composition(iPr_def_10,complement(composition(top,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_19827,c_107]) ).
tcf(c_19840,plain,
join(zero,composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_19826,c_107]) ).
tcf(c_19841,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_10)))),complement(join(iPr_def_10,composition(top,iPr_def_10))))) = zero,
inference(theory_normalisation,[status(thm)],[c_19830,c_50,c_49]) ).
tcf(c_19842,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(iPr_def_10)))),complement(join(iPr_def_10,composition(top,iPr_def_10))))) = zero,
inference(theory_normalisation,[status(thm)],[c_19829,c_50,c_49]) ).
tcf(c_19843,plain,
! [X0: $i] : join(zero,join(composition(converse(converse(iPr_def_10)),complement(composition(top,iPr_def_10))),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_19825,c_107,c_1336]) ).
tcf(c_19844,plain,
join(iPr_def_11,composition(converse(zero),complement(composition(iPr_def_10,composition(complement(composition(top,iPr_def_10)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19836,c_433]) ).
tcf(c_19845,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(top,iPr_def_10)))) = composition(join(iPr_def_10,X0),complement(composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_54]) ).
tcf(c_19846,plain,
! [X0: $i] : composition(iPr_def_10,composition(complement(composition(top,iPr_def_10)),X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_19836,c_52]) ).
tcf(c_19847,plain,
! [X0: $i] : join(composition(X0,complement(composition(top,iPr_def_10))),zero) = composition(join(X0,iPr_def_10),complement(composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_54]) ).
tcf(c_19848,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_10))),join(composition(converse(iPr_def_10),complement(zero)),X0)) = join(complement(complement(composition(top,iPr_def_10))),X0),
inference(superposition,[status(thm)],[c_19836,c_362]) ).
tcf(c_19850,plain,
composition(join(one,iPr_def_10),complement(composition(top,iPr_def_10))) = join(complement(composition(top,iPr_def_10)),zero),
inference(superposition,[status(thm)],[c_19836,c_1767]) ).
tcf(c_19851,plain,
join(complement(complement(composition(top,iPr_def_10))),composition(converse(iPr_def_10),complement(zero))) = complement(complement(composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_76]) ).
tcf(c_19852,plain,
join(complement(composition(top,complement(composition(top,iPr_def_10)))),composition(converse(iPr_def_10),complement(zero))) = complement(composition(top,complement(composition(top,iPr_def_10)))),
inference(superposition,[status(thm)],[c_19836,c_428]) ).
tcf(c_19857,plain,
! [X0: $i] : composition(iPr_def_10,composition(complement(composition(top,iPr_def_10)),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_19846,c_8217]) ).
tcf(c_19858,plain,
composition(join(iPr_def_10,one),complement(composition(top,iPr_def_10))) = join(zero,complement(composition(top,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_19850,c_50,c_49]) ).
tcf(c_19860,plain,
join(iPr_def_11,composition(zero,complement(composition(iPr_def_10,composition(complement(composition(top,iPr_def_10)),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_19844,c_1950]) ).
tcf(c_19861,plain,
join(complement(complement(composition(top,iPr_def_10))),composition(top,iPr_def_10)) = complement(complement(composition(top,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_19851,c_1431,c_19820]) ).
tcf(c_19862,plain,
join(composition(top,iPr_def_10),complement(complement(composition(top,iPr_def_10)))) = complement(complement(composition(top,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_19861,c_50,c_49]) ).
tcf(c_19863,plain,
! [X0: $i] : join(zero,composition(X0,complement(composition(top,iPr_def_10)))) = composition(join(X0,iPr_def_10),complement(composition(top,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_19847,c_50,c_49]) ).
tcf(c_19864,plain,
join(composition(converse(iPr_def_10),complement(zero)),complement(composition(top,complement(composition(top,iPr_def_10))))) = complement(composition(top,complement(composition(top,iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_19852,c_50,c_49]) ).
tcf(c_19865,plain,
join(composition(top,iPr_def_10),complement(composition(top,complement(composition(top,iPr_def_10))))) = complement(composition(top,complement(composition(top,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_19864,c_1431,c_19820]) ).
tcf(c_19866,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_10))),join(composition(top,iPr_def_10),X0)) = join(complement(complement(composition(top,iPr_def_10))),X0),
inference(light_normalisation,[status(thm)],[c_19848,c_1431,c_19820]) ).
tcf(c_19867,plain,
! [X0: $i] : join(composition(top,iPr_def_10),join(X0,complement(complement(composition(top,iPr_def_10))))) = join(complement(complement(composition(top,iPr_def_10))),X0),
inference(theory_normalisation,[status(thm)],[c_19866,c_50,c_49]) ).
tcf(c_19869,plain,
composition(iPr_def_10,iPr_def_11) = composition(iPr_def_10,iPr_def_12),
inference(demodulation,[status(thm)],[c_19813,c_383]) ).
tcf(c_19870,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,iPr_def_11)),complement(composition(iPr_def_10,composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19869,c_433]) ).
tcf(c_19871,plain,
! [X0: $i] : join(composition(iPr_def_10,iPr_def_11),composition(X0,iPr_def_12)) = composition(join(iPr_def_10,X0),iPr_def_12),
inference(superposition,[status(thm)],[c_19869,c_54]) ).
tcf(c_19872,plain,
! [X0: $i] : composition(composition(iPr_def_10,iPr_def_11),X0) = composition(iPr_def_10,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_19869,c_52]) ).
tcf(c_19873,plain,
! [X0: $i] : join(composition(X0,iPr_def_12),composition(iPr_def_10,iPr_def_11)) = composition(join(X0,iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_19869,c_54]) ).
tcf(c_19874,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,iPr_def_11))),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_19869,c_362]) ).
tcf(c_19875,plain,
join(complement(iPr_def_12),composition(converse(iPr_def_10),complement(composition(iPr_def_10,iPr_def_11)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_19869,c_76]) ).
tcf(c_19876,plain,
join(complement(composition(top,iPr_def_12)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,iPr_def_11)))) = complement(composition(top,iPr_def_12)),
inference(superposition,[status(thm)],[c_19869,c_428]) ).
tcf(c_19877,plain,
composition(converse(composition(iPr_def_10,iPr_def_11)),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_19869,c_12931]) ).
tcf(c_19878,plain,
composition(converse(composition(iPr_def_10,iPr_def_11)),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_19869,c_8938]) ).
tcf(c_19879,plain,
composition(converse(iPr_def_11),composition(iPr_def_10,iPr_def_11)) = zero,
inference(superposition,[status(thm)],[c_19869,c_8221]) ).
tcf(c_19880,plain,
composition(converse(iPr_def_12),composition(iPr_def_10,iPr_def_11)) = zero,
inference(superposition,[status(thm)],[c_19869,c_8927]) ).
tcf(c_19881,plain,
composition(top,converse(composition(iPr_def_10,iPr_def_11))) = converse(composition(iPr_def_10,iPr_def_11)),
inference(superposition,[status(thm)],[c_19869,c_17788]) ).
tcf(c_19882,plain,
join(complement(composition(top,iPr_def_11)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,iPr_def_11)))) = complement(composition(top,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_19876,c_19797]) ).
tcf(c_19887,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_10,complement(complement(join(iPr_def_11,complement(composition(X0,complement(composition(converse(X0),iPr_def_10)))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_485,c_1671]) ).
tcf(c_19889,plain,
! [X0: $i] : join(top,complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_4817,c_7011,c_7015,c_10611]) ).
tcf(c_19893,plain,
! [X0: $i,X1: $i] : join(complement(join(join(X0,iPr_def_11),X1)),complement(join(iPr_def_11,complement(join(X1,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_49,c_376]) ).
tcf(c_19898,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(zero,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_376]) ).
tcf(c_19899,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(X0,complement(X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7124,c_376]) ).
tcf(c_19900,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),iPr_def_11)),complement(join(iPr_def_11,complement(join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_362,c_376]) ).
tcf(c_19901,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(top,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7096,c_376]) ).
tcf(c_19902,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7123,c_376]) ).
tcf(c_19903,plain,
! [X0: $i] : join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,complement(join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_369,c_376]) ).
tcf(c_19904,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_434,c_376]) ).
tcf(c_19905,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_10,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7122,c_376]) ).
tcf(c_19906,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(join(X0,iPr_def_11),X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7769,c_376]) ).
tcf(c_19907,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2326,c_376]) ).
tcf(c_19908,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3214,c_376]) ).
tcf(c_19909,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13559,c_376]) ).
tcf(c_19910,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(X0,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7878,c_376]) ).
tcf(c_19911,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(one,converse(complement(one))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9175,c_376]) ).
tcf(c_19912,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11838,c_376]) ).
tcf(c_19913,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_10,composition(top,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11990,c_376]) ).
tcf(c_19914,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12338,c_376]) ).
tcf(c_19915,plain,
join(complement(join(complement(iPr_def_12),iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_10,complement(iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13165,c_376]) ).
tcf(c_19916,plain,
! [X0: $i] : join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13393,c_376]) ).
tcf(c_19917,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_11,composition(top,iPr_def_10)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_14229,c_376]) ).
tcf(c_19918,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(complement(iPr_def_12),composition(top,iPr_def_11)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15739,c_376]) ).
tcf(c_19919,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_11,composition(top,complement(iPr_def_12))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15762,c_376]) ).
tcf(c_19920,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(converse(iPr_def_12),complement(converse(iPr_def_11))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_18182,c_376]) ).
tcf(c_19921,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_12,converse(complement(converse(iPr_def_11)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_18543,c_376]) ).
tcf(c_19922,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_49,c_376]) ).
tcf(c_19925,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(X0,zero))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_376]) ).
tcf(c_19926,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(iPr_def_11,complement(join(X0,iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_376]) ).
tcf(c_19927,plain,
! [X0: $i] : join(complement(join(X0,top)),complement(join(iPr_def_11,complement(join(X0,top))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7096,c_376]) ).
tcf(c_19930,plain,
! [X0: $i] : join(complement(join(X0,join(join(iPr_def_11,X0),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11158,c_376]) ).
tcf(c_19931,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),iPr_def_11))),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_10560,c_376]) ).
tcf(c_19932,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,complement(join(X1,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_49,c_376]) ).
tcf(c_19935,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(join(X0,X1),join(X2,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(X1,X2)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_376]) ).
tcf(c_19936,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(composition(X0,X1),join(composition(X2,X1),iPr_def_11))),complement(join(iPr_def_11,complement(composition(join(X0,X2),X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_54,c_376]) ).
tcf(c_19937,plain,
! [X0: $i,X1: $i] : join(complement(join(converse(X0),join(converse(X1),iPr_def_11))),complement(join(iPr_def_11,complement(converse(join(X0,X1)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_56,c_376]) ).
tcf(c_19938,plain,
! [X0: $i] : join(complement(join(X0,join(complement(X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_376]) ).
tcf(c_19939,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_76,c_376]) ).
tcf(c_19940,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(join(X1,X2),iPr_def_11))),complement(join(iPr_def_11,complement(join(X1,join(X0,X2)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_191,c_376]) ).
tcf(c_19941,plain,
! [X0: $i] : join(complement(join(zero,join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1336,c_376]) ).
tcf(c_19942,plain,
join(complement(join(iPr_def_10,join(iPr_def_11,iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_376]) ).
tcf(c_19943,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_349,c_376]) ).
tcf(c_19944,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_350,c_376]) ).
tcf(c_19945,plain,
! [X0: $i] : join(complement(join(complement(one),join(composition(converse(X0),complement(X0)),iPr_def_11))),complement(join(iPr_def_11,complement(complement(one))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_351,c_376]) ).
tcf(c_19946,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(X1,complement(join(X0,X1))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_375,c_376]) ).
tcf(c_19947,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(complement(X0),X1),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7124,c_376]) ).
tcf(c_19948,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),join(join(composition(converse(X1),complement(composition(X1,X0))),X2),iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(X0),X2))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_362,c_376]) ).
tcf(c_19949,plain,
! [X0: $i] : join(complement(join(top,join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7096,c_376]) ).
tcf(c_19950,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(join(iPr_def_11,X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7123,c_376]) ).
tcf(c_19951,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(X0,iPr_def_11)),join(join(complement(join(iPr_def_11,complement(X0))),X1),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_10,X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_369,c_376]) ).
tcf(c_19953,plain,
! [X0: $i] : join(complement(join(X0,join(top,iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7015,c_376]) ).
tcf(c_19954,plain,
! [X0: $i] : join(complement(join(X0,join(zero,iPr_def_11))),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1429,c_376]) ).
tcf(c_19955,plain,
! [X0: $i] : join(complement(join(complement(composition(top,X0)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(composition(top,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_428,c_376]) ).
tcf(c_19956,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_432,c_376]) ).
tcf(c_19957,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_433,c_376]) ).
tcf(c_19958,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_434,c_376]) ).
tcf(c_19959,plain,
join(complement(join(iPr_def_10,join(iPr_def_12,iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11774,c_376]) ).
tcf(c_19960,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(join(X0,iPr_def_11),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7122,c_376]) ).
tcf(c_19961,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(join(X0,join(X1,iPr_def_11)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7305,c_376]) ).
tcf(c_19962,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(join(X0,join(iPr_def_11,X1)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7698,c_376]) ).
tcf(c_19963,plain,
! [X0: $i] : join(complement(join(X0,join(converse(complement(converse(X0))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2345,c_376]) ).
tcf(c_19964,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_776,c_376]) ).
tcf(c_19965,plain,
join(complement(join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12326,c_376]) ).
tcf(c_19966,plain,
! [X0: $i] : join(complement(join(X0,join(X0,iPr_def_11))),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7769,c_376]) ).
tcf(c_19967,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1679,c_376]) ).
tcf(c_19968,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,iPr_def_11))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1680,c_376]) ).
tcf(c_19969,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(composition(X1,X0),iPr_def_11))),complement(join(iPr_def_11,complement(composition(join(X1,one),X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1782,c_376]) ).
tcf(c_19970,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(composition(X1,X0),iPr_def_11))),complement(join(iPr_def_11,complement(composition(join(one,X1),X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1767,c_376]) ).
tcf(c_19971,plain,
join(complement(join(one,join(converse(complement(one)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9159,c_376]) ).
tcf(c_19972,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1888,c_376]) ).
tcf(c_19973,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(X0,iPr_def_11),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2326,c_376]) ).
tcf(c_19974,plain,
! [X0: $i] : join(complement(join(complement(X0),join(composition(top,complement(composition(top,X0))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2356,c_376]) ).
tcf(c_19975,plain,
join(complement(join(iPr_def_11,join(iPr_def_12,iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3207,c_376]) ).
tcf(c_19976,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(iPr_def_12,X0),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3214,c_376]) ).
tcf(c_19977,plain,
join(complement(join(iPr_def_10,join(complement(iPr_def_12),iPr_def_11))),complement(join(iPr_def_11,complement(complement(iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13163,c_376]) ).
tcf(c_19978,plain,
join(complement(join(iPr_def_11,join(complement(iPr_def_12),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4192,c_376]) ).
tcf(c_19979,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(X0,iPr_def_12),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_4183,c_376]) ).
tcf(c_19980,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(complement(iPr_def_12),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13559,c_376]) ).
tcf(c_19981,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(X1,complement(X0)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7426,c_376]) ).
tcf(c_19982,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(join(X1,join(complement(join(X0,X1)),X2)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7392,c_376]) ).
tcf(c_19983,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11158,c_376]) ).
tcf(c_19984,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_11))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7700,c_376]) ).
tcf(c_19985,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_11,X2))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7830,c_376]) ).
tcf(c_19986,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(X0,X1),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7878,c_376]) ).
tcf(c_19988,plain,
! [X0: $i] : join(complement(join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8543,c_376]) ).
tcf(c_19989,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(complement(join(iPr_def_11,X0)),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_8588,c_376]) ).
tcf(c_19990,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9023,c_376]) ).
tcf(c_19991,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(X0,complement(iPr_def_12)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9125,c_376]) ).
tcf(c_19992,plain,
! [X0: $i] : join(complement(join(one,join(join(converse(complement(one)),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9175,c_376]) ).
tcf(c_19993,plain,
! [X0: $i] : join(complement(join(complement(one),join(composition(X0,complement(converse(X0))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(one))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9621,c_376]) ).
tcf(c_19994,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(join(iPr_def_12,X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11838,c_376]) ).
tcf(c_19995,plain,
! [X0: $i] : join(complement(join(X0,join(composition(complement(one),X0),iPr_def_11))),complement(join(iPr_def_11,complement(composition(top,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11631,c_376]) ).
tcf(c_19996,plain,
! [X0: $i] : join(complement(join(X0,join(composition(top,complement(X0)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11752,c_376]) ).
tcf(c_19997,plain,
join(complement(join(iPr_def_10,join(composition(top,iPr_def_11),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11759,c_376]) ).
tcf(c_19998,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(join(X0,iPr_def_12),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11837,c_376]) ).
tcf(c_19999,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(composition(X0,complement(composition(converse(X0),iPr_def_11))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11899,c_376]) ).
tcf(c_20000,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(join(composition(top,iPr_def_11),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11990,c_376]) ).
tcf(c_20001,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(join(X0,join(X1,iPr_def_12)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12163,c_376]) ).
tcf(c_20002,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(complement(converse(complement(converse(iPr_def_11)))),X0),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12338,c_376]) ).
tcf(c_20003,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(X0,complement(converse(complement(converse(iPr_def_11))))),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12339,c_376]) ).
tcf(c_20004,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_12))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12476,c_376]) ).
tcf(c_20005,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_12,X2))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15206,c_376]) ).
tcf(c_20006,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(join(X1,join(X2,complement(X0))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12833,c_376]) ).
tcf(c_20007,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(join(X0,join(X1,complement(iPr_def_12))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13561,c_376]) ).
tcf(c_20008,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(join(complement(iPr_def_12),X0),iPr_def_11))),complement(join(iPr_def_11,complement(join(complement(iPr_def_12),X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13165,c_376]) ).
tcf(c_20009,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(join(X0,complement(iPr_def_12)),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_12)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13166,c_376]) ).
tcf(c_20010,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(complement(join(X0,iPr_def_11)),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13297,c_376]) ).
tcf(c_20011,plain,
join(complement(join(iPr_def_10,join(complement(composition(top,iPr_def_11)),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13295,c_376]) ).
tcf(c_20012,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13315,c_376]) ).
tcf(c_20013,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(composition(complement(join(X0,iPr_def_11)),top),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13389,c_376]) ).
tcf(c_20014,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(composition(complement(join(X0,join(iPr_def_11,X1))),top),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13365,c_376]) ).
tcf(c_20015,plain,
join(complement(join(iPr_def_10,join(composition(complement(composition(top,iPr_def_11)),top),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13387,c_376]) ).
tcf(c_20016,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(join(composition(complement(join(iPr_def_11,X0)),top),X1),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_10,X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13393,c_376]) ).
tcf(c_20017,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(join(X0,composition(complement(join(iPr_def_11,X1)),top)),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13394,c_376]) ).
tcf(c_20018,plain,
join(complement(join(complement(iPr_def_12),join(composition(top,iPr_def_11),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13731,c_376]) ).
tcf(c_20019,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_10,composition(X1,top)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16170,c_376]) ).
tcf(c_20020,plain,
! [X0: $i] : join(complement(join(complement(iPr_def_12),join(composition(complement(join(iPr_def_11,X0)),top),iPr_def_11))),complement(join(iPr_def_11,complement(complement(iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13916,c_376]) ).
tcf(c_20021,plain,
join(complement(join(iPr_def_11,join(composition(top,complement(iPr_def_12)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13984,c_376]) ).
tcf(c_20022,plain,
! [X0: $i] : join(complement(join(complement(X0),join(composition(top,X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_14135,c_376]) ).
tcf(c_20023,plain,
join(complement(join(iPr_def_11,join(composition(top,iPr_def_10),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_14138,c_376]) ).
tcf(c_20024,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(composition(top,iPr_def_10),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_14229,c_376]) ).
tcf(c_20025,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_14347,c_376]) ).
tcf(c_20026,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_11))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_14735,c_376]) ).
tcf(c_20027,plain,
! [X0: $i] : join(complement(join(complement(iPr_def_12),join(join(composition(top,iPr_def_11),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15739,c_376]) ).
tcf(c_20028,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(composition(top,complement(iPr_def_12)),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15762,c_376]) ).
tcf(c_20029,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),iPr_def_11))),complement(join(iPr_def_11,complement(complement(composition(iPr_def_12,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15920,c_376]) ).
tcf(c_20030,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),iPr_def_11))),complement(join(iPr_def_11,complement(complement(composition(iPr_def_11,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_15924,c_376]) ).
tcf(c_20031,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(composition(complement(composition(iPr_def_12,X0)),top),iPr_def_11))),complement(join(iPr_def_11,complement(composition(complement(composition(iPr_def_12,X0)),top))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16092,c_376]) ).
tcf(c_20032,plain,
! [X0: $i] : join(complement(join(iPr_def_10,join(composition(complement(composition(iPr_def_11,X0)),top),iPr_def_11))),complement(join(iPr_def_11,complement(composition(complement(composition(iPr_def_11,X0)),top))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_16108,c_376]) ).
tcf(c_20033,plain,
join(complement(join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17003,c_376]) ).
tcf(c_20034,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17888,c_376]) ).
tcf(c_20035,plain,
! [X0: $i] : join(complement(join(converse(iPr_def_12),join(join(complement(converse(iPr_def_11)),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_18182,c_376]) ).
tcf(c_20036,plain,
join(complement(join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_18176,c_376]) ).
tcf(c_20037,plain,
join(complement(join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_18518,c_376]) ).
tcf(c_20038,plain,
! [X0: $i] : join(complement(join(iPr_def_12,join(join(converse(complement(converse(iPr_def_11))),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_18543,c_376]) ).
tcf(c_20039,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_18626,c_376]) ).
tcf(c_20040,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(join(X0,join(X1,iPr_def_11))),join(complement(join(iPr_def_11,complement(join(X0,X1)))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_376,c_376]) ).
tcf(c_20041,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,iPr_def_11))),join(complement(join(iPr_def_11,complement(join(X0,X1)))),join(complement(iPr_def_10),X2))) = top,
inference(superposition,[status(thm)],[c_376,c_7392]) ).
tcf(c_20043,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),join(complement(join(iPr_def_11,complement(join(X0,X1)))),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_376,c_375]) ).
tcf(c_20047,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,iPr_def_11))),join(X2,complement(join(iPr_def_11,complement(join(X0,X1)))))) = join(X2,iPr_def_10),
inference(superposition,[status(thm)],[c_376,c_191]) ).
tcf(c_20048,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_11,complement(join(X0,X1))),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_376,c_7426]) ).
tcf(c_20050,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_11,complement(join(X0,X1))),join(X2,iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_376,c_12833]) ).
tcf(c_20055,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,complement(join(X0,X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_20048,c_50,c_49]) ).
tcf(c_20057,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,complement(join(X1,X2))))) = top,
inference(theory_normalisation,[status(thm)],[c_20050,c_50,c_49]) ).
tcf(c_20059,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_11,complement(join(iPr_def_10,X0))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19905,c_107]) ).
tcf(c_20064,plain,
join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,iPr_def_12)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19975,c_50,c_49]) ).
tcf(c_20065,plain,
join(complement(join(iPr_def_11,iPr_def_10)),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20064,c_1671,c_3207]) ).
tcf(c_20068,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(X0,join(X0,iPr_def_11)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19966,c_50,c_49]) ).
tcf(c_20069,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(iPr_def_11,iPr_def_12)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19959,c_50,c_49]) ).
tcf(c_20070,plain,
join(complement(join(iPr_def_11,zero)),zero) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20069,c_107,c_209,c_3207]) ).
tcf(c_20072,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(X0,join(iPr_def_11,zero)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19954,c_50,c_49]) ).
tcf(c_20073,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(iPr_def_11,top)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19953,c_50,c_49]) ).
tcf(c_20074,plain,
! [X0: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(iPr_def_11,top)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20073,c_107]) ).
tcf(c_20075,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,top)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19949,c_50,c_49]) ).
tcf(c_20078,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(iPr_def_11,iPr_def_11)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19942,c_50,c_49]) ).
tcf(c_20079,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(iPr_def_11,iPr_def_11)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20078,c_107]) ).
tcf(c_20080,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,join(X0,zero)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19941,c_50,c_49]) ).
tcf(c_20081,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,X0))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20080,c_1429]) ).
tcf(c_20084,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_11,complement(join(X0,iPr_def_10))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19926,c_107,c_7015]) ).
tcf(c_20090,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_11,iPr_def_10))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19908,c_1671,c_3207]) ).
tcf(c_20094,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_11,complement(iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19978,c_50,c_49]) ).
tcf(c_20095,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20094,c_107,c_4192]) ).
tcf(c_20097,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(iPr_def_11,complement(X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19938,c_50,c_49]) ).
tcf(c_20098,plain,
! [X0: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(iPr_def_11,complement(X0))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20097,c_107]) ).
tcf(c_20103,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_11,composition(top,iPr_def_10))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20023,c_50,c_49]) ).
tcf(c_20106,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(iPr_def_11,iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19998,c_50,c_49]) ).
tcf(c_20109,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(iPr_def_11,composition(top,iPr_def_11))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19997,c_50,c_49]) ).
tcf(c_20110,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(iPr_def_11,composition(top,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20109,c_107]) ).
tcf(c_20111,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(iPr_def_11,join(X0,iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19994,c_50,c_49]) ).
tcf(c_20114,plain,
join(complement(join(iPr_def_11,complement(complement(iPr_def_12)))),complement(join(iPr_def_10,join(iPr_def_11,complement(iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19977,c_50,c_49]) ).
tcf(c_20115,plain,
join(complement(join(iPr_def_11,complement(complement(iPr_def_12)))),complement(join(iPr_def_10,top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20114,c_4192]) ).
tcf(c_20116,plain,
join(complement(join(iPr_def_10,top)),complement(join(iPr_def_11,complement(complement(iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20115,c_50,c_49]) ).
tcf(c_20117,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(one,converse(complement(one)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19971,c_50,c_49]) ).
tcf(c_20120,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19960,c_50,c_49]) ).
tcf(c_20123,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(iPr_def_11,join(X0,iPr_def_11))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19950,c_50,c_49]) ).
tcf(c_20126,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19931,c_50,c_49]) ).
tcf(c_20127,plain,
join(complement(join(iPr_def_11,complement(iPr_def_12))),complement(join(iPr_def_11,complement(join(iPr_def_10,complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19915,c_50,c_49]) ).
tcf(c_20128,plain,
join(zero,complement(join(iPr_def_11,complement(complement(iPr_def_12))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20127,c_107,c_4192,c_13163]) ).
tcf(c_20129,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19906,c_50,c_49]) ).
tcf(c_20131,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(iPr_def_11,X1))),complement(join(iPr_def_11,complement(join(X1,X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19893,c_50,c_49]) ).
tcf(c_20132,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_12,converse(complement(converse(iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20036,c_50,c_49]) ).
tcf(c_20135,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(converse(iPr_def_12),complement(converse(iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20033,c_50,c_49]) ).
tcf(c_20138,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(complement(X0),composition(top,X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20022,c_50,c_49]) ).
tcf(c_20141,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_11,composition(top,complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20021,c_50,c_49]) ).
tcf(c_20144,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(complement(iPr_def_12),composition(top,iPr_def_11))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20018,c_50,c_49]) ).
tcf(c_20147,plain,
join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,complement(composition(top,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20011,c_50,c_49]) ).
tcf(c_20148,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,complement(composition(top,iPr_def_11)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20147,c_192]) ).
tcf(c_20149,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20010,c_50,c_49]) ).
tcf(c_20150,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,complement(join(X0,iPr_def_11)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20149,c_192]) ).
tcf(c_20151,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(iPr_def_11,composition(top,complement(X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19996,c_50,c_49]) ).
tcf(c_20152,plain,
! [X0: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(iPr_def_11,composition(top,complement(X0)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20151,c_107]) ).
tcf(c_20153,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(iPr_def_11,complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19991,c_50,c_49]) ).
tcf(c_20156,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19989,c_50,c_49]) ).
tcf(c_20157,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20156,c_192]) ).
tcf(c_20158,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(iPr_def_11,complement(X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19981,c_50,c_49]) ).
tcf(c_20159,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(iPr_def_11,complement(X0)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20158,c_107]) ).
tcf(c_20160,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_11,join(X0,complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19980,c_50,c_49]) ).
tcf(c_20163,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(iPr_def_11,converse(complement(converse(X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19963,c_50,c_49]) ).
tcf(c_20164,plain,
! [X0: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(iPr_def_11,converse(complement(converse(X0))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20163,c_107]) ).
tcf(c_20165,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(iPr_def_11,join(X1,complement(X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19947,c_50,c_49]) ).
tcf(c_20166,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(iPr_def_11,join(X1,complement(X0)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20165,c_107]) ).
tcf(c_20167,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_11,join(X0,composition(top,iPr_def_10)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20024,c_50,c_49]) ).
tcf(c_20170,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20001,c_50,c_49]) ).
tcf(c_20173,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(iPr_def_11,join(X0,composition(top,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20000,c_50,c_49]) ).
tcf(c_20174,plain,
! [X0: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(iPr_def_11,join(X0,composition(top,iPr_def_11)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20173,c_107]) ).
tcf(c_20175,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(one,converse(complement(one))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19992,c_50,c_49]) ).
tcf(c_20178,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(X0,X1)))),complement(join(X0,join(X0,join(X1,iPr_def_11))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19986,c_50,c_49]) ).
tcf(c_20179,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,join(X0,join(iPr_def_11,iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19979,c_50,c_49]) ).
tcf(c_20180,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20179,c_2326,c_3207]) ).
tcf(c_20182,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,join(iPr_def_11,join(X0,iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19976,c_50,c_49]) ).
tcf(c_20185,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(iPr_def_11,join(X0,join(iPr_def_11,iPr_def_11))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19973,c_50,c_49]) ).
tcf(c_20186,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(X0,iPr_def_11))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20185,c_2326,c_11872]) ).
tcf(c_20188,plain,
join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19965,c_50,c_49]) ).
tcf(c_20189,plain,
join(complement(join(iPr_def_11,iPr_def_10)),complement(join(iPr_def_11,join(iPr_def_11,iPr_def_11)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20188,c_1671,c_12393]) ).
tcf(c_20192,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19962,c_50,c_49]) ).
tcf(c_20193,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,iPr_def_11)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20192,c_107]) ).
tcf(c_20194,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19961,c_50,c_49]) ).
tcf(c_20195,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,iPr_def_11)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20194,c_107]) ).
tcf(c_20196,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(X0,join(iPr_def_11,join(X0,iPr_def_11))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19930,c_50,c_49]) ).
tcf(c_20197,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(X0,join(X0,iPr_def_11)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20196,c_2326]) ).
tcf(c_20198,plain,
join(complement(join(iPr_def_11,iPr_def_11)),zero) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19914,c_107,c_12387]) ).
tcf(c_20200,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_20043,c_50,c_49]) ).
tcf(c_20203,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(iPr_def_12,converse(complement(converse(iPr_def_11)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20038,c_50,c_49]) ).
tcf(c_20206,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(converse(iPr_def_12),complement(converse(iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20035,c_50,c_49]) ).
tcf(c_20209,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_11,join(X0,composition(top,complement(iPr_def_12))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20028,c_50,c_49]) ).
tcf(c_20212,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(complement(iPr_def_12),composition(top,iPr_def_11)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20027,c_50,c_49]) ).
tcf(c_20215,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20026,c_50,c_49]) ).
tcf(c_20216,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20215,c_192]) ).
tcf(c_20217,plain,
join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(composition(top,iPr_def_11)),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20015,c_50,c_49]) ).
tcf(c_20218,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(composition(top,iPr_def_11)),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20217,c_192]) ).
tcf(c_20219,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,iPr_def_11)),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20013,c_50,c_49]) ).
tcf(c_20220,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,iPr_def_11)),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20219,c_192]) ).
tcf(c_20221,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(iPr_def_11,X0)),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20012,c_50,c_49]) ).
tcf(c_20222,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(iPr_def_11,X0)),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20221,c_192]) ).
tcf(c_20223,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(X1,join(iPr_def_11,complement(iPr_def_12))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20007,c_50,c_49]) ).
tcf(c_20227,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(X2,join(iPr_def_11,complement(X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20006,c_50,c_49]) ).
tcf(c_20228,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(X2,join(iPr_def_11,complement(X0))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20227,c_107]) ).
tcf(c_20229,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(composition(top,X0)))),complement(join(X0,join(iPr_def_11,composition(complement(one),X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19995,c_50,c_49]) ).
tcf(c_20230,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(iPr_def_11,complement(join(X0,X1))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19946,c_50,c_49]) ).
tcf(c_20231,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(iPr_def_11,complement(join(X0,X1))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20230,c_107]) ).
tcf(c_20232,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(converse(X0),converse(X1)))),complement(join(iPr_def_11,complement(converse(join(X0,X1)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19937,c_50,c_49]) ).
tcf(c_20234,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(composition(iPr_def_11,X0))))),complement(join(iPr_def_10,join(iPr_def_11,complement(composition(iPr_def_11,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20030,c_50,c_49]) ).
tcf(c_20235,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(composition(iPr_def_12,X0))))),complement(join(iPr_def_10,join(iPr_def_11,complement(composition(iPr_def_12,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20029,c_50,c_49]) ).
tcf(c_20236,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_12))))),complement(join(iPr_def_10,join(X0,join(iPr_def_11,complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20009,c_50,c_49]) ).
tcf(c_20237,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_12))))),complement(join(iPr_def_10,top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20236,c_4192,c_7015]) ).
tcf(c_20238,plain,
! [X0: $i] : join(complement(join(iPr_def_10,top)),complement(join(iPr_def_11,complement(join(X0,complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20237,c_50,c_49]) ).
tcf(c_20239,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(complement(iPr_def_12),X0)))),complement(join(iPr_def_10,join(iPr_def_11,join(X0,complement(iPr_def_12)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20008,c_50,c_49]) ).
tcf(c_20240,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(complement(iPr_def_12),X0)))),complement(join(iPr_def_10,top))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20239,c_9125]) ).
tcf(c_20241,plain,
! [X0: $i] : join(complement(join(iPr_def_10,top)),complement(join(iPr_def_11,complement(join(complement(iPr_def_12),X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20240,c_50,c_49]) ).
tcf(c_20242,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,iPr_def_12))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20005,c_50,c_49]) ).
tcf(c_20243,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,iPr_def_12))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20242,c_107]) ).
tcf(c_20244,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,iPr_def_12))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20004,c_50,c_49]) ).
tcf(c_20247,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19999,c_50,c_49]) ).
tcf(c_20248,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20247,c_192]) ).
tcf(c_20249,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(one)))),complement(join(iPr_def_11,join(complement(one),composition(X0,complement(converse(X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19993,c_50,c_49]) ).
tcf(c_20250,plain,
join(complement(join(iPr_def_11,complement(complement(one)))),complement(join(iPr_def_11,complement(one)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20249,c_9621]) ).
tcf(c_20251,plain,
join(complement(join(iPr_def_11,complement(one))),complement(join(iPr_def_11,complement(complement(one))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20250,c_50,c_49]) ).
tcf(c_20252,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19985,c_50,c_49]) ).
tcf(c_20253,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20252,c_107]) ).
tcf(c_20254,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19984,c_50,c_49]) ).
tcf(c_20255,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20254,c_107]) ).
tcf(c_20256,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(iPr_def_11,composition(X1,X0)))),complement(join(iPr_def_11,complement(composition(join(one,X1),X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19970,c_50,c_49]) ).
tcf(c_20257,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(iPr_def_11,composition(X1,X0)))),complement(join(iPr_def_11,complement(composition(join(X1,one),X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19969,c_50,c_49]) ).
tcf(c_20258,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_11))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19968,c_50,c_49]) ).
tcf(c_20259,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_11))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20258,c_192]) ).
tcf(c_20260,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_10))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19956,c_50,c_49]) ).
tcf(c_20264,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(one)))),complement(join(iPr_def_11,join(complement(one),composition(converse(X0),complement(X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19945,c_50,c_49]) ).
tcf(c_20267,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19943,c_50,c_49]) ).
tcf(c_20271,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,join(X2,iPr_def_11)))),complement(join(iPr_def_11,complement(join(X1,join(X0,X2)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19940,c_50,c_49]) ).
tcf(c_20272,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,join(X2,iPr_def_11)))),complement(join(iPr_def_11,complement(join(X0,join(X1,X2)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19935,c_50,c_49]) ).
tcf(c_20279,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(iPr_def_10),join(X0,join(complement(join(X1,join(X2,iPr_def_11))),complement(join(iPr_def_11,complement(join(X1,X2))))))) = top,
inference(theory_normalisation,[status(thm)],[c_20041,c_50,c_49]) ).
tcf(c_20280,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(complement(join(X1,join(X2,iPr_def_11))),complement(join(iPr_def_11,complement(join(X1,X2))))))) = top,
inference(light_normalisation,[status(thm)],[c_20279,c_192]) ).
tcf(c_20281,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(iPr_def_12)))),complement(join(iPr_def_11,join(complement(iPr_def_12),composition(complement(join(iPr_def_11,X0)),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20020,c_50,c_49]) ).
tcf(c_20282,plain,
join(complement(join(iPr_def_11,complement(complement(iPr_def_12)))),zero) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20281,c_107,c_4192,c_13916]) ).
tcf(c_20284,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(iPr_def_11,X1))),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20014,c_50,c_49]) ).
tcf(c_20285,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(iPr_def_11,X1))),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20284,c_192]) ).
tcf(c_20286,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(iPr_def_11,join(X2,complement(join(X0,X1)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19982,c_50,c_49]) ).
tcf(c_20287,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(iPr_def_11,join(X2,complement(join(X0,X1)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20286,c_107]) ).
tcf(c_20288,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(X0)))),complement(join(iPr_def_11,join(complement(X0),composition(top,complement(composition(top,X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19974,c_50,c_49]) ).
tcf(c_20290,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_11,complement(join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19903,c_107,c_209,c_17997]) ).
tcf(c_20291,plain,
join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20037,c_50,c_49]) ).
tcf(c_20295,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(iPr_def_11,join(X0,join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20003,c_50,c_49]) ).
tcf(c_20298,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,join(iPr_def_11,join(X0,complement(converse(complement(converse(iPr_def_11))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20002,c_50,c_49]) ).
tcf(c_20299,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,join(iPr_def_11,X0)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20298,c_12364]) ).
tcf(c_20300,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,X0))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20299,c_50,c_49]) ).
tcf(c_20302,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19967,c_50,c_49]) ).
tcf(c_20303,plain,
! [X0: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20302,c_192]) ).
tcf(c_20304,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(complement(X0)))),complement(join(iPr_def_11,join(complement(X0),composition(X1,complement(composition(converse(X1),X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19944,c_50,c_49]) ).
tcf(c_20306,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(complement(X0)))),complement(join(iPr_def_11,join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19939,c_50,c_49]) ).
tcf(c_20308,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(composition(join(X0,X1),X2)))),complement(join(iPr_def_11,join(composition(X0,X2),composition(X1,X2))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19936,c_50,c_49]) ).
tcf(c_20309,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19900,c_50,c_49]) ).
tcf(c_20312,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(X0,iPr_def_10)))),complement(join(iPr_def_10,join(X0,join(iPr_def_11,composition(complement(join(iPr_def_11,X1)),top)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20017,c_50,c_49]) ).
tcf(c_20313,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_10,X0)))),complement(join(iPr_def_10,join(iPr_def_11,join(X0,composition(complement(join(iPr_def_11,X1)),top)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20016,c_50,c_49]) ).
tcf(c_20314,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19988,c_50,c_49]) ).
tcf(c_20318,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20034,c_50,c_49]) ).
tcf(c_20322,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(composition(complement(composition(iPr_def_11,X0)),top)))),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(composition(iPr_def_11,X0)),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20032,c_50,c_49]) ).
tcf(c_20323,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(composition(complement(composition(iPr_def_12,X0)),top)))),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(composition(iPr_def_12,X0)),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20031,c_50,c_49]) ).
tcf(c_20324,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20025,c_50,c_49]) ).
tcf(c_20328,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(iPr_def_11,join(X0,join(iPr_def_11,composition(converse(X1),complement(composition(X1,iPr_def_10)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19990,c_50,c_49]) ).
tcf(c_20331,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))),complement(join(iPr_def_11,join(iPr_def_11,complement(join(X0,join(iPr_def_11,X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19983,c_50,c_49]) ).
tcf(c_20333,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),complement(join(iPr_def_11,join(iPr_def_11,join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19958,c_50,c_49]) ).
tcf(c_20336,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19957,c_50,c_49]) ).
tcf(c_20340,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_11,join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,X1)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20040,c_50,c_49]) ).
tcf(c_20344,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19964,c_50,c_49]) ).
tcf(c_20352,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_10,X0)))),complement(join(iPr_def_11,join(X0,join(complement(join(X1,iPr_def_11)),complement(join(iPr_def_11,complement(X1)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19951,c_50,c_49]) ).
tcf(c_20353,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),complement(join(iPr_def_11,join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19972,c_50,c_49]) ).
tcf(c_20354,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),complement(join(iPr_def_11,join(iPr_def_11,complement(X0))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20353,c_1888]) ).
tcf(c_20355,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_11,complement(X0)))),complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20354,c_50,c_49]) ).
tcf(c_20356,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(composition(top,X0))))),complement(join(iPr_def_11,join(complement(composition(top,X0)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19955,c_50,c_49]) ).
tcf(c_20357,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(composition(top,X0))))),complement(join(iPr_def_11,complement(composition(top,X0))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_20356,c_428]) ).
tcf(c_20358,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(composition(top,X0)))),complement(join(iPr_def_11,complement(complement(composition(top,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20357,c_50,c_49]) ).
tcf(c_20359,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(join(complement(X0),X1)))),complement(join(iPr_def_11,join(X1,join(complement(X0),composition(converse(X2),complement(composition(X2,X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_19948,c_50,c_49]) ).
tcf(c_20360,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_10,composition(X0,top))))),complement(join(iPr_def_10,join(iPr_def_11,composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20019,c_50,c_49]) ).
tcf(c_20361,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20039,c_50,c_49]) ).
tcf(c_20386,plain,
! [X0: $i] : composition(top,composition(iPr_def_11,X0)) = composition(top,composition(iPr_def_12,X0)),
inference(demodulation,[status(thm)],[c_19802,c_52]) ).
tcf(c_20387,plain,
composition(top,composition(iPr_def_11,one)) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_53,c_20386]) ).
tcf(c_20388,plain,
composition(top,composition(iPr_def_11,top)) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_11779,c_20386]) ).
tcf(c_20389,plain,
composition(top,composition(iPr_def_11,zero)) = composition(top,zero),
inference(superposition,[status(thm)],[c_8201,c_20386]) ).
tcf(c_20390,plain,
composition(top,composition(iPr_def_11,complement(composition(converse(iPr_def_12),top)))) = composition(top,zero),
inference(superposition,[status(thm)],[c_9546,c_20386]) ).
tcf(c_20391,plain,
! [X0: $i] : composition(top,composition(iPr_def_11,composition(top,X0))) = composition(top,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_11840,c_20386]) ).
tcf(c_20392,plain,
composition(top,composition(iPr_def_11,complement(composition(top,iPr_def_11)))) = composition(top,zero),
inference(superposition,[status(thm)],[c_19198,c_20386]) ).
tcf(c_20393,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(top,composition(iPr_def_11,X0))),complement(composition(top,composition(composition(iPr_def_12,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20386,c_433]) ).
tcf(c_20394,plain,
! [X0: $i,X1: $i] : join(composition(top,composition(iPr_def_11,X0)),composition(X1,composition(iPr_def_12,X0))) = composition(join(top,X1),composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_54]) ).
tcf(c_20395,plain,
! [X0: $i,X1: $i] : composition(composition(top,composition(iPr_def_11,X0)),X1) = composition(top,composition(composition(iPr_def_12,X0),X1)),
inference(superposition,[status(thm)],[c_20386,c_52]) ).
tcf(c_20396,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_12,X1)),composition(top,composition(iPr_def_11,X1))) = composition(join(X0,top),composition(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_20386,c_54]) ).
tcf(c_20397,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(converse(top),complement(composition(top,composition(iPr_def_11,X0)))),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(superposition,[status(thm)],[c_20386,c_362]) ).
tcf(c_20399,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(top,composition(iPr_def_11,X0))) = composition(join(one,top),composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_1767]) ).
tcf(c_20400,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(top),complement(composition(top,composition(iPr_def_11,X0))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_76]) ).
tcf(c_20401,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(top,complement(composition(top,composition(iPr_def_11,X0))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_2356]) ).
tcf(c_20402,plain,
! [X0: $i] : join(complement(composition(top,composition(iPr_def_11,X0))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(iPr_def_12,X0))))) = complement(composition(top,composition(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_20386,c_428]) ).
tcf(c_20403,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(top,composition(iPr_def_11,X0))) = top,
inference(superposition,[status(thm)],[c_20386,c_14135]) ).
tcf(c_20404,plain,
! [X0: $i] : composition(complement(iPr_def_12),composition(top,composition(iPr_def_11,X0))) = composition(iPr_def_10,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_15252]) ).
tcf(c_20405,plain,
! [X0: $i] : composition(iPr_def_12,composition(top,composition(iPr_def_11,X0))) = composition(iPr_def_12,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_11840]) ).
tcf(c_20406,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),top) = converse(composition(top,composition(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_20386,c_2357]) ).
tcf(c_20407,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,composition(iPr_def_11,X0))) = composition(iPr_def_12,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_382]) ).
tcf(c_20408,plain,
! [X0: $i] : composition(iPr_def_10,composition(top,composition(iPr_def_11,X0))) = composition(iPr_def_10,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_383]) ).
tcf(c_20409,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_12)),complement(composition(top,composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20386,c_433]) ).
tcf(c_20410,plain,
join(iPr_def_11,composition(converse(iPr_def_12),composition(top,complement(composition(top,composition(iPr_def_11,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20386,c_14347]) ).
tcf(c_20412,plain,
composition(top,composition(iPr_def_11,one)) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20387,c_19797]) ).
tcf(c_20416,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(top,composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_20409,c_19797]) ).
tcf(c_20417,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(top,composition(iPr_def_11,X0))) = composition(join(top,one),composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_20399,c_50,c_49]) ).
tcf(c_20419,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_12,X1)),composition(top,composition(iPr_def_11,X1))) = composition(top,composition(iPr_def_12,X1)),
inference(light_normalisation,[status(thm)],[c_20396,c_7015]) ).
tcf(c_20420,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(top,complement(composition(top,composition(iPr_def_11,X0)))),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(light_normalisation,[status(thm)],[c_20397,c_2343]) ).
tcf(c_20422,plain,
! [X0: $i] : composition(iPr_def_10,composition(iPr_def_11,X0)) = composition(iPr_def_10,composition(iPr_def_12,X0)),
inference(demodulation,[status(thm)],[c_19872,c_52]) ).
tcf(c_20423,plain,
composition(iPr_def_10,composition(iPr_def_11,one)) = composition(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_53,c_20422]) ).
tcf(c_20424,plain,
composition(iPr_def_10,composition(iPr_def_11,top)) = composition(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_11779,c_20422]) ).
tcf(c_20425,plain,
composition(iPr_def_10,composition(iPr_def_11,zero)) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_8201,c_20422]) ).
tcf(c_20426,plain,
composition(iPr_def_10,composition(iPr_def_11,complement(composition(converse(iPr_def_12),top)))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_9546,c_20422]) ).
tcf(c_20427,plain,
! [X0: $i] : composition(iPr_def_10,composition(iPr_def_11,composition(top,X0))) = composition(iPr_def_10,composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_11840,c_20422]) ).
tcf(c_20428,plain,
composition(iPr_def_10,composition(iPr_def_11,complement(composition(top,iPr_def_11)))) = composition(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_19198,c_20422]) ).
tcf(c_20429,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(iPr_def_10,composition(iPr_def_11,X0))),complement(composition(iPr_def_10,composition(composition(iPr_def_12,X0),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20422,c_433]) ).
tcf(c_20430,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,composition(iPr_def_11,X0)),composition(X1,composition(iPr_def_12,X0))) = composition(join(iPr_def_10,X1),composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20422,c_54]) ).
tcf(c_20431,plain,
! [X0: $i,X1: $i] : composition(composition(iPr_def_10,composition(iPr_def_11,X0)),X1) = composition(iPr_def_10,composition(composition(iPr_def_12,X0),X1)),
inference(superposition,[status(thm)],[c_20422,c_52]) ).
tcf(c_20432,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_12,X1)),composition(iPr_def_10,composition(iPr_def_11,X1))) = composition(join(X0,iPr_def_10),composition(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_20422,c_54]) ).
tcf(c_20433,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(iPr_def_11,X0)))),X1)) = join(complement(composition(iPr_def_12,X0)),X1),
inference(superposition,[status(thm)],[c_20422,c_362]) ).
tcf(c_20435,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(iPr_def_10,composition(iPr_def_11,X0))) = composition(join(one,iPr_def_10),composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20422,c_1767]) ).
tcf(c_20436,plain,
! [X0: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(iPr_def_11,X0))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20422,c_76]) ).
tcf(c_20437,plain,
! [X0: $i] : join(complement(composition(top,composition(iPr_def_12,X0))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(iPr_def_11,X0))))) = complement(composition(top,composition(iPr_def_12,X0))),
inference(superposition,[status(thm)],[c_20422,c_428]) ).
tcf(c_20438,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,composition(iPr_def_11,X0))),iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_20422,c_12931]) ).
tcf(c_20439,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,composition(iPr_def_11,X0))),iPr_def_12) = zero,
inference(superposition,[status(thm)],[c_20422,c_8938]) ).
tcf(c_20440,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_10,composition(iPr_def_11,X0))) = zero,
inference(superposition,[status(thm)],[c_20422,c_8221]) ).
tcf(c_20441,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_10,composition(iPr_def_11,X0))) = zero,
inference(superposition,[status(thm)],[c_20422,c_8927]) ).
tcf(c_20442,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,iPr_def_12)),complement(composition(iPr_def_10,composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20422,c_433]) ).
tcf(c_20444,plain,
composition(iPr_def_10,composition(iPr_def_11,one)) = composition(iPr_def_10,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20423,c_19869]) ).
tcf(c_20448,plain,
join(iPr_def_11,composition(converse(composition(iPr_def_10,iPr_def_11)),complement(composition(iPr_def_10,composition(iPr_def_11,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_20442,c_19869]) ).
tcf(c_20449,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(iPr_def_10,composition(iPr_def_11,X0))) = composition(join(iPr_def_10,one),composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_20435,c_50,c_49]) ).
tcf(c_20450,plain,
! [X0: $i] : join(complement(composition(top,composition(iPr_def_11,X0))),composition(converse(iPr_def_10),complement(composition(iPr_def_10,composition(iPr_def_11,X0))))) = complement(composition(top,composition(iPr_def_11,X0))),
inference(light_normalisation,[status(thm)],[c_20437,c_20386]) ).
tcf(c_20452,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),iPr_def_12) = composition(X0,iPr_def_12),
inference(demodulation,[status(thm)],[c_7454,c_1336]) ).
tcf(c_20454,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_12) = composition(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_49,c_20452]) ).
tcf(c_20457,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,X0)),iPr_def_12) = composition(converse(X0),iPr_def_12),
inference(superposition,[status(thm)],[c_56,c_20452]) ).
tcf(c_20458,plain,
composition(complement(converse(iPr_def_10)),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_59,c_20452]) ).
tcf(c_20459,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_10),X1)),iPr_def_12) = composition(join(X0,X1),iPr_def_12),
inference(superposition,[status(thm)],[c_191,c_20452]) ).
tcf(c_20460,plain,
! [X0: $i] : composition(join(X0,complement(join(converse(iPr_def_10),X0))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_375,c_20452]) ).
tcf(c_20461,plain,
! [X0: $i] : composition(join(complement(converse(iPr_def_10)),X0),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_7124,c_20452]) ).
tcf(c_20462,plain,
composition(converse(iPr_def_10),iPr_def_12) = composition(zero,iPr_def_12),
inference(superposition,[status(thm)],[c_1429,c_20452]) ).
tcf(c_20463,plain,
composition(converse(complement(converse(converse(iPr_def_10)))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_2345,c_20452]) ).
tcf(c_20464,plain,
! [X0: $i] : composition(composition(join(X0,one),converse(iPr_def_10)),iPr_def_12) = composition(composition(X0,converse(iPr_def_10)),iPr_def_12),
inference(superposition,[status(thm)],[c_1782,c_20452]) ).
tcf(c_20465,plain,
! [X0: $i] : composition(composition(join(one,X0),converse(iPr_def_10)),iPr_def_12) = composition(composition(X0,converse(iPr_def_10)),iPr_def_12),
inference(superposition,[status(thm)],[c_1767,c_20452]) ).
tcf(c_20466,plain,
! [X0: $i] : composition(join(X0,complement(converse(iPr_def_10))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_7426,c_20452]) ).
tcf(c_20467,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(join(converse(iPr_def_10),X0)),X1)),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_7392,c_20452]) ).
tcf(c_20468,plain,
composition(composition(complement(one),converse(iPr_def_10)),iPr_def_12) = composition(composition(top,converse(iPr_def_10)),iPr_def_12),
inference(superposition,[status(thm)],[c_11631,c_20452]) ).
tcf(c_20469,plain,
composition(composition(top,complement(converse(iPr_def_10))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_11752,c_20452]) ).
tcf(c_20470,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(converse(iPr_def_10)))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_12833,c_20452]) ).
tcf(c_20471,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_12)),complement(composition(join(converse(iPr_def_10),X0),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20452,c_433]) ).
tcf(c_20472,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(iPr_def_10),X0),X1),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_20452,c_54]) ).
tcf(c_20473,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),X0),composition(iPr_def_12,X1)) = composition(composition(X0,iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20452,c_52]) ).
tcf(c_20474,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_10),X1)),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_20452,c_54]) ).
tcf(c_20475,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_12))),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20452,c_362]) ).
tcf(c_20476,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(join(converse(iPr_def_10),X0)),complement(composition(X0,iPr_def_12)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20452,c_76]) ).
tcf(c_20477,plain,
join(iPr_def_12,composition(converse(iPr_def_10),iPr_def_12)) = composition(one,iPr_def_12),
inference(superposition,[status(thm)],[c_20452,c_1782]) ).
tcf(c_20480,plain,
composition(complement(converse(iPr_def_10)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20458,c_19797]) ).
tcf(c_20481,plain,
join(iPr_def_12,zero) = composition(one,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_20477,c_7055]) ).
tcf(c_20482,plain,
composition(composition(top,complement(converse(iPr_def_10))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20469,c_19797]) ).
tcf(c_20483,plain,
! [X0: $i] : composition(join(X0,complement(converse(iPr_def_10))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20466,c_19797]) ).
tcf(c_20484,plain,
composition(converse(complement(converse(converse(iPr_def_10)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20463,c_19797]) ).
tcf(c_20485,plain,
! [X0: $i] : composition(join(complement(converse(iPr_def_10)),X0),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20461,c_19797]) ).
tcf(c_20486,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(converse(iPr_def_10)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20470,c_19797]) ).
tcf(c_20487,plain,
! [X0: $i] : composition(join(X0,complement(join(converse(iPr_def_10),X0))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20460,c_19797]) ).
tcf(c_20488,plain,
composition(composition(complement(one),converse(iPr_def_10)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20468,c_7055,c_16909]) ).
tcf(c_20489,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(join(converse(iPr_def_10),X0)),X1)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20467,c_19797]) ).
tcf(c_20492,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),join(X0,X1)),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_20472,c_50,c_49]) ).
tcf(c_20497,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_10))),iPr_def_12) = composition(join(X0,X1),iPr_def_12),
inference(superposition,[status(thm)],[c_50,c_20454]) ).
tcf(c_20498,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_10)),iPr_def_12) = composition(converse(X0),iPr_def_12),
inference(superposition,[status(thm)],[c_56,c_20454]) ).
tcf(c_20500,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_12)),complement(composition(join(X0,converse(iPr_def_10)),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20454,c_433]) ).
tcf(c_20502,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),composition(iPr_def_12,X1)) = composition(composition(X0,iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20454,c_52]) ).
tcf(c_20503,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_10))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_20454,c_54]) ).
tcf(c_20504,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(join(X0,converse(iPr_def_10))),complement(composition(X0,iPr_def_12))),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20454,c_362]) ).
tcf(c_20505,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(join(X0,converse(iPr_def_10))),complement(composition(X0,iPr_def_12)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20454,c_76]) ).
tcf(c_20523,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),iPr_def_12) = composition(converse(converse(X0)),iPr_def_12),
inference(superposition,[status(thm)],[c_765,c_20457]) ).
tcf(c_20524,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),iPr_def_12) = composition(converse(converse(X0)),iPr_def_12),
inference(superposition,[status(thm)],[c_222,c_20457]) ).
tcf(c_20525,plain,
composition(join(one,converse(iPr_def_10)),iPr_def_12) = composition(converse(one),iPr_def_12),
inference(superposition,[status(thm)],[c_1729,c_20457]) ).
tcf(c_20526,plain,
! [X0: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),iPr_def_12) = composition(converse(composition(X0,top)),iPr_def_12),
inference(superposition,[status(thm)],[c_16911,c_20457]) ).
tcf(c_20530,plain,
composition(converse(complement(iPr_def_10)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_59,c_20457]) ).
tcf(c_20531,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_10,X1))),iPr_def_12) = composition(converse(join(X0,X1)),iPr_def_12),
inference(superposition,[status(thm)],[c_191,c_20457]) ).
tcf(c_20532,plain,
composition(converse(top),iPr_def_12) = composition(converse(iPr_def_11),iPr_def_12),
inference(superposition,[status(thm)],[c_209,c_20457]) ).
tcf(c_20533,plain,
! [X0: $i] : composition(converse(join(X0,complement(join(iPr_def_10,X0)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_375,c_20457]) ).
tcf(c_20534,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_10),X0)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7124,c_20457]) ).
tcf(c_20535,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,X0)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7123,c_20457]) ).
tcf(c_20536,plain,
composition(converse(zero),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_1429,c_20457]) ).
tcf(c_20537,plain,
composition(converse(top),iPr_def_12) = composition(converse(iPr_def_12),iPr_def_12),
inference(superposition,[status(thm)],[c_11774,c_20457]) ).
tcf(c_20538,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7122,c_20457]) ).
tcf(c_20539,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_11))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7305,c_20457]) ).
tcf(c_20540,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_11,X1))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7698,c_20457]) ).
tcf(c_20541,plain,
composition(converse(converse(complement(converse(iPr_def_10)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_2345,c_20457]) ).
tcf(c_20542,plain,
! [X0: $i] : composition(converse(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_1679,c_20457]) ).
tcf(c_20543,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,iPr_def_11)))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_1680,c_20457]) ).
tcf(c_20544,plain,
! [X0: $i] : composition(converse(join(X0,complement(iPr_def_10))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7426,c_20457]) ).
tcf(c_20545,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(complement(join(iPr_def_10,X0)),X1))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7392,c_20457]) ).
tcf(c_20546,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_11)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7700,c_20457]) ).
tcf(c_20547,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_11,X2)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_7830,c_20457]) ).
tcf(c_20548,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_11,X0))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_8588,c_20457]) ).
tcf(c_20549,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,X0)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_11838,c_20457]) ).
tcf(c_20550,plain,
composition(converse(composition(complement(one),iPr_def_10)),iPr_def_12) = composition(converse(composition(top,iPr_def_10)),iPr_def_12),
inference(superposition,[status(thm)],[c_11631,c_20457]) ).
tcf(c_20551,plain,
composition(converse(composition(top,complement(iPr_def_10))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_11752,c_20457]) ).
tcf(c_20552,plain,
composition(converse(composition(top,iPr_def_11)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_11759,c_20457]) ).
tcf(c_20553,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_11837,c_20457]) ).
tcf(c_20554,plain,
! [X0: $i] : composition(converse(composition(X0,complement(composition(converse(X0),iPr_def_11)))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_11899,c_20457]) ).
tcf(c_20555,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_11),X0)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_11990,c_20457]) ).
tcf(c_20556,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_12))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_12163,c_20457]) ).
tcf(c_20557,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_12)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_12476,c_20457]) ).
tcf(c_20558,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_12,X2)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_15206,c_20457]) ).
tcf(c_20559,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(iPr_def_10)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_12833,c_20457]) ).
tcf(c_20560,plain,
! [X0: $i] : composition(converse(complement(join(X0,iPr_def_11))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_13297,c_20457]) ).
tcf(c_20561,plain,
composition(converse(complement(composition(top,iPr_def_11))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_13295,c_20457]) ).
tcf(c_20562,plain,
! [X0: $i] : composition(converse(composition(complement(join(iPr_def_11,X0)),top)),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_13315,c_20457]) ).
tcf(c_20563,plain,
! [X0: $i] : composition(converse(composition(complement(join(X0,iPr_def_11)),top)),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_13389,c_20457]) ).
tcf(c_20564,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(iPr_def_11,X1))),top)),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_13365,c_20457]) ).
tcf(c_20565,plain,
composition(converse(composition(complement(composition(top,iPr_def_11)),top)),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_13387,c_20457]) ).
tcf(c_20566,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(complement(join(iPr_def_11,X0)),top),X1)),iPr_def_12) = composition(converse(join(iPr_def_10,X1)),iPr_def_12),
inference(superposition,[status(thm)],[c_13393,c_20457]) ).
tcf(c_20567,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(complement(join(iPr_def_11,X1)),top))),iPr_def_12) = composition(converse(join(X0,iPr_def_10)),iPr_def_12),
inference(superposition,[status(thm)],[c_13394,c_20457]) ).
tcf(c_20568,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top)),iPr_def_12) = composition(converse(join(iPr_def_10,composition(X1,top))),iPr_def_12),
inference(superposition,[status(thm)],[c_16170,c_20457]) ).
tcf(c_20569,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(X0,join(X1,iPr_def_11)))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_14735,c_20457]) ).
tcf(c_20570,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(X0),iPr_def_12)),complement(composition(converse(join(iPr_def_10,X0)),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20457,c_433]) ).
tcf(c_20571,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),iPr_def_12),composition(X1,iPr_def_12)) = composition(join(converse(join(iPr_def_10,X0)),X1),iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_54]) ).
tcf(c_20572,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,X0)),composition(iPr_def_12,X1)) = composition(composition(converse(X0),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20457,c_52]) ).
tcf(c_20573,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(converse(X1),iPr_def_12)) = composition(join(X0,converse(join(iPr_def_10,X1))),iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_54]) ).
tcf(c_20574,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(join(iPr_def_10,X0))),complement(composition(converse(X0),iPr_def_12))),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20457,c_362]) ).
tcf(c_20575,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(join(iPr_def_10,X0))),complement(composition(converse(X0),iPr_def_12)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_76]) ).
tcf(c_20576,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(join(iPr_def_10,X0),complement(composition(converse(X0),iPr_def_12)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_350]) ).
tcf(c_20577,plain,
! [X0: $i] : composition(converse(iPr_def_12),join(iPr_def_10,X0)) = converse(composition(converse(X0),iPr_def_12)),
inference(superposition,[status(thm)],[c_20457,c_226]) ).
tcf(c_20578,plain,
! [X0: $i] : composition(top,converse(composition(converse(X0),iPr_def_12))) = converse(composition(converse(X0),iPr_def_12)),
inference(superposition,[status(thm)],[c_20457,c_17788]) ).
tcf(c_20579,plain,
composition(converse(iPr_def_12),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20537,c_2343,c_19797]) ).
tcf(c_20581,plain,
composition(converse(iPr_def_11),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20532,c_2343,c_19797]) ).
tcf(c_20583,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_12)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20553,c_2343,c_19797]) ).
tcf(c_20584,plain,
composition(converse(composition(top,iPr_def_11)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20552,c_2343,c_19797]) ).
tcf(c_20585,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,X0)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20549,c_2343,c_19797]) ).
tcf(c_20586,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20538,c_2343,c_19797]) ).
tcf(c_20587,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,X0)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20535,c_2343,c_19797]) ).
tcf(c_20588,plain,
composition(join(one,converse(iPr_def_10)),iPr_def_12) = composition(one,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_20525,c_1689]) ).
tcf(c_20589,plain,
composition(converse(complement(composition(top,iPr_def_11))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20561,c_7055]) ).
tcf(c_20590,plain,
! [X0: $i] : composition(converse(complement(join(X0,iPr_def_11))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20560,c_7055]) ).
tcf(c_20592,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_11,X0))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20548,c_7055]) ).
tcf(c_20594,plain,
composition(converse(converse(complement(converse(iPr_def_10)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20541,c_2343,c_19797]) ).
tcf(c_20598,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_12))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20556,c_2343,c_19797]) ).
tcf(c_20599,plain,
! [X0: $i] : composition(converse(join(composition(top,iPr_def_11),X0)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20555,c_2343,c_19797]) ).
tcf(c_20600,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(iPr_def_11,X1))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20540,c_2343,c_19797]) ).
tcf(c_20601,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_11))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20539,c_2343,c_19797]) ).
tcf(c_20602,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(X0,join(X1,iPr_def_11)))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20569,c_7055]) ).
tcf(c_20603,plain,
composition(converse(composition(complement(composition(top,iPr_def_11)),top)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20565,c_7055]) ).
tcf(c_20604,plain,
! [X0: $i] : composition(converse(composition(complement(join(X0,iPr_def_11)),top)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20563,c_7055]) ).
tcf(c_20605,plain,
! [X0: $i] : composition(converse(composition(complement(join(iPr_def_11,X0)),top)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20562,c_7055]) ).
tcf(c_20607,plain,
! [X0: $i] : composition(converse(join(X0,complement(join(iPr_def_10,X0)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20533,c_2343,c_19797]) ).
tcf(c_20608,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_12,X2)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20558,c_2343,c_19797]) ).
tcf(c_20609,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_12)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20557,c_2343,c_19797]) ).
tcf(c_20610,plain,
! [X0: $i] : composition(converse(composition(X0,complement(composition(converse(X0),iPr_def_11)))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20554,c_7055]) ).
tcf(c_20611,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(iPr_def_11,X2)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20547,c_2343,c_19797]) ).
tcf(c_20612,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_11)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20546,c_2343,c_19797]) ).
tcf(c_20613,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,iPr_def_11)))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20543,c_7055]) ).
tcf(c_20614,plain,
! [X0: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),iPr_def_12) = composition(composition(top,converse(X0)),iPr_def_12),
inference(light_normalisation,[status(thm)],[c_20526,c_2354]) ).
tcf(c_20615,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(iPr_def_11,X1))),top)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20564,c_7055]) ).
tcf(c_20616,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(complement(join(iPr_def_10,X0)),X1))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20545,c_2343,c_19797]) ).
tcf(c_20617,plain,
! [X0: $i] : composition(converse(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20542,c_7055]) ).
tcf(c_20618,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(complement(join(iPr_def_11,X1)),top))),iPr_def_12) = composition(converse(X0),iPr_def_12),
inference(light_normalisation,[status(thm)],[c_20567,c_20498]) ).
tcf(c_20647,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,iPr_def_10))),iPr_def_12) = composition(converse(join(X0,X1)),iPr_def_12),
inference(superposition,[status(thm)],[c_50,c_20498]) ).
tcf(c_20649,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(X0),iPr_def_12)),complement(composition(converse(join(X0,iPr_def_10)),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20498,c_433]) ).
tcf(c_20650,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),iPr_def_12),composition(X1,iPr_def_12)) = composition(join(converse(join(X0,iPr_def_10)),X1),iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_54]) ).
tcf(c_20651,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,iPr_def_10)),composition(iPr_def_12,X1)) = composition(composition(converse(X0),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20498,c_52]) ).
tcf(c_20652,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(converse(X1),iPr_def_12)) = composition(join(X0,converse(join(X1,iPr_def_10))),iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_54]) ).
tcf(c_20653,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(converse(converse(join(X0,iPr_def_10))),complement(composition(converse(X0),iPr_def_12))),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20498,c_362]) ).
tcf(c_20654,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(converse(join(X0,iPr_def_10))),complement(composition(converse(X0),iPr_def_12)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_76]) ).
tcf(c_20655,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(join(X0,iPr_def_10),complement(composition(converse(X0),iPr_def_12)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_350]) ).
tcf(c_20656,plain,
! [X0: $i] : composition(converse(iPr_def_12),join(X0,iPr_def_10)) = converse(composition(converse(X0),iPr_def_12)),
inference(superposition,[status(thm)],[c_20498,c_226]) ).
tcf(c_20659,plain,
! [X0: $i] : join(zero,composition(X0,iPr_def_12)) = composition(X0,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_7461,c_20454]) ).
tcf(c_20661,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),iPr_def_10) = composition(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_7716,c_1336]) ).
tcf(c_20664,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),iPr_def_10) = composition(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_20661]) ).
tcf(c_20668,plain,
composition(complement(converse(iPr_def_12)),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_59,c_20661]) ).
tcf(c_20669,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_12),X1)),iPr_def_10) = composition(join(X0,X1),iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_20661]) ).
tcf(c_20670,plain,
! [X0: $i] : composition(join(X0,complement(join(converse(iPr_def_12),X0))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_375,c_20661]) ).
tcf(c_20671,plain,
! [X0: $i] : composition(join(complement(converse(iPr_def_12)),X0),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_7124,c_20661]) ).
tcf(c_20672,plain,
composition(converse(iPr_def_12),iPr_def_10) = composition(zero,iPr_def_10),
inference(superposition,[status(thm)],[c_1429,c_20661]) ).
tcf(c_20673,plain,
composition(converse(complement(converse(converse(iPr_def_12)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_2345,c_20661]) ).
tcf(c_20674,plain,
! [X0: $i] : composition(composition(join(X0,one),converse(iPr_def_12)),iPr_def_10) = composition(composition(X0,converse(iPr_def_12)),iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_20661]) ).
tcf(c_20675,plain,
! [X0: $i] : composition(composition(join(one,X0),converse(iPr_def_12)),iPr_def_10) = composition(composition(X0,converse(iPr_def_12)),iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_20661]) ).
tcf(c_20676,plain,
! [X0: $i] : composition(join(X0,complement(converse(iPr_def_12))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_7426,c_20661]) ).
tcf(c_20677,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(join(converse(iPr_def_12),X0)),X1)),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_7392,c_20661]) ).
tcf(c_20678,plain,
composition(composition(complement(one),converse(iPr_def_12)),iPr_def_10) = composition(composition(top,converse(iPr_def_12)),iPr_def_10),
inference(superposition,[status(thm)],[c_11631,c_20661]) ).
tcf(c_20679,plain,
composition(composition(top,complement(converse(iPr_def_12))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_11752,c_20661]) ).
tcf(c_20680,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(converse(iPr_def_12)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_12833,c_20661]) ).
tcf(c_20683,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_10)),complement(composition(join(converse(iPr_def_12),X0),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20661,c_433]) ).
tcf(c_20684,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(iPr_def_12),X0),X1),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_20661,c_54]) ).
tcf(c_20685,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),X0),composition(iPr_def_10,X1)) = composition(composition(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_20661,c_52]) ).
tcf(c_20686,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(iPr_def_12),X1)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_20661,c_54]) ).
tcf(c_20687,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(join(converse(iPr_def_12),X0)),complement(composition(X0,iPr_def_10))),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_20661,c_362]) ).
tcf(c_20688,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(join(converse(iPr_def_12),X0)),complement(composition(X0,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_20661,c_76]) ).
tcf(c_20690,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(converse(iPr_def_12),X0)),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20661,c_14347]) ).
tcf(c_20691,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(join(converse(iPr_def_12),X0)),complement(composition(X0,iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_20661,c_434]) ).
tcf(c_20692,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(converse(iPr_def_12),X0)),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20661,c_349]) ).
tcf(c_20693,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(join(converse(iPr_def_12),X1)),complement(composition(X1,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20661,c_9023]) ).
tcf(c_20694,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,join(converse(iPr_def_12),X1))),complement(composition(X0,composition(X1,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20661,c_433]) ).
tcf(c_20695,plain,
! [X0: $i] : join(iPr_def_11,composition(join(iPr_def_12,converse(X0)),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20661,c_776]) ).
tcf(c_20696,plain,
join(iPr_def_10,composition(converse(iPr_def_12),iPr_def_10)) = composition(one,iPr_def_10),
inference(superposition,[status(thm)],[c_20661,c_1782]) ).
tcf(c_20700,plain,
composition(composition(complement(one),converse(iPr_def_12)),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_20678,c_7459,c_16918]) ).
tcf(c_20702,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),join(X0,X1)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_20684,c_50,c_49]) ).
tcf(c_20704,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_12),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20579,c_433]) ).
tcf(c_20705,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_12)) = composition(join(converse(iPr_def_12),X0),iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_54]) ).
tcf(c_20706,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(iPr_def_12,X0)) = composition(composition(top,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_20579,c_52]) ).
tcf(c_20707,plain,
! [X0: $i] : join(composition(X0,iPr_def_12),composition(top,iPr_def_11)) = composition(join(X0,converse(iPr_def_12)),iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_54]) ).
tcf(c_20708,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11))),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_20579,c_362]) ).
tcf(c_20709,plain,
join(complement(iPr_def_12),composition(converse(converse(iPr_def_12)),complement(composition(top,iPr_def_11)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_76]) ).
tcf(c_20710,plain,
join(complement(iPr_def_12),composition(iPr_def_12,complement(composition(top,iPr_def_11)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_350]) ).
tcf(c_20713,plain,
composition(iPr_def_10,composition(converse(iPr_def_11),iPr_def_12)) = composition(iPr_def_10,composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_20579,c_17451]) ).
tcf(c_20716,plain,
join(complement(iPr_def_12),zero) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_20710,c_19198]) ).
tcf(c_20718,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20707,c_19817]) ).
tcf(c_20719,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20705,c_19818]) ).
tcf(c_20721,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_11),composition(iPr_def_12,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20581,c_433]) ).
tcf(c_20722,plain,
! [X0: $i] : join(composition(top,iPr_def_11),composition(X0,iPr_def_12)) = composition(join(converse(iPr_def_11),X0),iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_54]) ).
tcf(c_20723,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(iPr_def_12,X0)) = composition(composition(top,iPr_def_11),X0),
inference(superposition,[status(thm)],[c_20581,c_52]) ).
tcf(c_20724,plain,
! [X0: $i] : join(composition(X0,iPr_def_12),composition(top,iPr_def_11)) = composition(join(X0,converse(iPr_def_11)),iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_54]) ).
tcf(c_20725,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11))),X0)) = join(complement(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_20581,c_362]) ).
tcf(c_20726,plain,
join(complement(iPr_def_12),composition(converse(converse(iPr_def_11)),complement(composition(top,iPr_def_11)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_76]) ).
tcf(c_20727,plain,
join(complement(iPr_def_12),composition(iPr_def_11,complement(composition(top,iPr_def_11)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_350]) ).
tcf(c_20728,plain,
composition(converse(iPr_def_12),iPr_def_11) = converse(composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_20581,c_226]) ).
tcf(c_20730,plain,
composition(top,composition(top,iPr_def_11)) = composition(converse(iPr_def_12),iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_16989]) ).
tcf(c_20735,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20724,c_19817]) ).
tcf(c_20736,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20722,c_19818]) ).
tcf(c_20747,plain,
! [X0: $i] : composition(iPr_def_10,composition(top,composition(iPr_def_11,X0))) = composition(iPr_def_10,composition(iPr_def_11,X0)),
inference(light_normalisation,[status(thm)],[c_20408,c_20422]) ).
tcf(c_20750,plain,
join(iPr_def_11,composition(converse(composition(top,iPr_def_10)),complement(composition(complement(converse(iPr_def_12)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20668,c_433]) ).
tcf(c_20751,plain,
! [X0: $i] : join(composition(top,iPr_def_10),composition(X0,iPr_def_10)) = composition(join(complement(converse(iPr_def_12)),X0),iPr_def_10),
inference(superposition,[status(thm)],[c_20668,c_54]) ).
tcf(c_20752,plain,
! [X0: $i] : composition(complement(converse(iPr_def_12)),composition(iPr_def_10,X0)) = composition(composition(top,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_20668,c_52]) ).
tcf(c_20753,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(top,iPr_def_10)) = composition(join(X0,complement(converse(iPr_def_12))),iPr_def_10),
inference(superposition,[status(thm)],[c_20668,c_54]) ).
tcf(c_20754,plain,
! [X0: $i] : join(complement(iPr_def_10),join(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),X0)) = join(complement(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_20668,c_362]) ).
tcf(c_20755,plain,
join(complement(iPr_def_10),composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_20668,c_76]) ).
tcf(c_20757,plain,
join(iPr_def_11,composition(converse(complement(converse(iPr_def_12))),composition(top,complement(composition(top,composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20668,c_14347]) ).
tcf(c_20758,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_20668,c_434]) ).
tcf(c_20759,plain,
join(iPr_def_11,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20668,c_349]) ).
tcf(c_20760,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20668,c_9023]) ).
tcf(c_20761,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,complement(converse(iPr_def_12)))),complement(composition(X0,composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20668,c_433]) ).
tcf(c_20765,plain,
join(iPr_def_11,composition(converse(complement(converse(iPr_def_12))),composition(top,complement(composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_20757,c_19230]) ).
tcf(c_20772,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_12))),iPr_def_10) = composition(join(X0,X1),iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_20664]) ).
tcf(c_20775,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,iPr_def_10)),complement(composition(join(X0,converse(iPr_def_12)),composition(iPr_def_10,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20664,c_433]) ).
tcf(c_20777,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),composition(iPr_def_10,X1)) = composition(composition(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_20664,c_52]) ).
tcf(c_20778,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(iPr_def_12))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_20664,c_54]) ).
tcf(c_20779,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(composition(converse(join(X0,converse(iPr_def_12))),complement(composition(X0,iPr_def_10))),X1)) = join(complement(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_20664,c_362]) ).
tcf(c_20780,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(join(X0,converse(iPr_def_12))),complement(composition(X0,iPr_def_10)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_20664,c_76]) ).
tcf(c_20782,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(X0,converse(iPr_def_12))),composition(top,complement(composition(top,composition(X0,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20664,c_14347]) ).
tcf(c_20783,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(join(X0,converse(iPr_def_12))),complement(composition(X0,iPr_def_10))),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_20664,c_434]) ).
tcf(c_20784,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(join(X0,converse(iPr_def_12))),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20664,c_349]) ).
tcf(c_20785,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(converse(join(X1,converse(iPr_def_12))),complement(composition(X1,iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_20664,c_9023]) ).
tcf(c_20786,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,join(X1,converse(iPr_def_12)))),complement(composition(X0,composition(X1,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20664,c_433]) ).
tcf(c_20787,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(converse(iPr_def_12))),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_20664,c_776]) ).
tcf(c_20799,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(converse(X1),X2),complement(composition(join(converse(X2),X1),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_985,c_7774]) ).
tcf(c_20800,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_221,c_7774]) ).
tcf(c_20801,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,converse(X2)),complement(composition(join(X2,converse(X1)),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_765,c_7774]) ).
tcf(c_20802,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_222,c_7774]) ).
tcf(c_20803,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(composition(X1,converse(X2)),complement(composition(composition(X2,converse(X1)),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_225,c_7774]) ).
tcf(c_20804,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(composition(converse(X1),X2),complement(composition(composition(converse(X2),X1),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_226,c_7774]) ).
tcf(c_20806,plain,
! [X0: $i] : join(X0,composition(zero,complement(composition(zero,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_1950,c_7774]) ).
tcf(c_20807,plain,
! [X0: $i] : join(X0,composition(one,complement(composition(one,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_1689,c_7774]) ).
tcf(c_20808,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,converse(X1)),complement(composition(join(one,X1),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_1723,c_7774]) ).
tcf(c_20809,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,converse(X1)),complement(composition(join(X1,one),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_1729,c_7774]) ).
tcf(c_20810,plain,
! [X0: $i,X1: $i] : join(X0,composition(composition(converse(X1),top),complement(composition(composition(top,X1),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_2357,c_7774]) ).
tcf(c_20811,plain,
! [X0: $i,X1: $i] : join(X0,composition(composition(top,converse(X1)),complement(composition(composition(X1,top),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_2354,c_7774]) ).
tcf(c_20812,plain,
! [X0: $i,X1: $i] : join(X0,composition(composition(top,converse(join(iPr_def_10,X1))),complement(composition(join(iPr_def_10,composition(X1,top)),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_16911,c_7774]) ).
tcf(c_20813,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_52,c_7774]) ).
tcf(c_20814,plain,
! [X0: $i] : join(composition(X0,top),composition(converse(converse(X0)),complement(zero))) = composition(X0,top),
inference(superposition,[status(thm)],[c_9545,c_7774]) ).
tcf(c_20815,plain,
join(iPr_def_12,composition(converse(converse(iPr_def_11)),complement(zero))) = iPr_def_12,
inference(superposition,[status(thm)],[c_1359,c_7774]) ).
tcf(c_20816,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(join(iPr_def_10,composition(X1,top))),complement(composition(join(iPr_def_10,X1),composition(top,complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_445,c_7774]) ).
tcf(c_20817,plain,
! [X0: $i] : join(join(iPr_def_10,composition(X0,top)),composition(converse(converse(join(iPr_def_10,X0))),complement(zero))) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_9562,c_7774]) ).
tcf(c_20818,plain,
! [X0: $i] : join(X0,composition(converse(one),complement(complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_1708,c_7774]) ).
tcf(c_20819,plain,
! [X0: $i] : join(X0,composition(converse(zero),complement(zero))) = X0,
inference(superposition,[status(thm)],[c_8217,c_7774]) ).
tcf(c_20820,plain,
! [X0: $i] : join(composition(converse(X0),top),composition(converse(X0),complement(zero))) = composition(converse(X0),top),
inference(superposition,[status(thm)],[c_9546,c_7774]) ).
tcf(c_20821,plain,
join(iPr_def_12,composition(converse(converse(iPr_def_12)),complement(zero))) = iPr_def_12,
inference(superposition,[status(thm)],[c_11843,c_7774]) ).
tcf(c_20822,plain,
join(composition(top,iPr_def_11),composition(converse(iPr_def_12),complement(zero))) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_19198,c_7774]) ).
tcf(c_20823,plain,
join(composition(top,iPr_def_11),composition(converse(iPr_def_11),complement(zero))) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_18560,c_7774]) ).
tcf(c_20824,plain,
join(composition(top,iPr_def_10),composition(converse(iPr_def_10),complement(zero))) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_19836,c_7774]) ).
tcf(c_20830,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(composition(converse(X1),complement(composition(X1,complement(X0)))),iPr_def_11))),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7774,c_376]) ).
tcf(c_20831,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(converse(X1),complement(composition(X1,complement(X0)))),join(complement(X0),X2))) = top,
inference(superposition,[status(thm)],[c_7774,c_7392]) ).
tcf(c_20833,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(converse(X1),complement(composition(X1,complement(X0)))),complement(X0))) = top,
inference(superposition,[status(thm)],[c_7774,c_375]) ).
tcf(c_20836,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(converse(X2),complement(composition(X2,complement(join(X0,X1))))))) = join(X0,X1),
inference(superposition,[status(thm)],[c_7774,c_50]) ).
tcf(c_20838,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(converse(X2),complement(composition(X2,complement(X0)))))) = join(X1,X0),
inference(superposition,[status(thm)],[c_7774,c_191]) ).
tcf(c_20839,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,complement(zero)))) = zero,
inference(superposition,[status(thm)],[c_7774,c_1336]) ).
tcf(c_20840,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,complement(iPr_def_11))))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_7774,c_18476]) ).
tcf(c_20846,plain,
! [X0: $i] : join(iPr_def_11,complement(join(composition(converse(X0),complement(composition(X0,complement(iPr_def_11)))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_7774,c_11158]) ).
tcf(c_20848,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(X0),complement(composition(X0,complement(iPr_def_11)))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7774,c_391]) ).
tcf(c_20851,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(composition(converse(X1),complement(composition(X1,complement(converse(X0))))))),complement(composition(converse(X0),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7774,c_776]) ).
tcf(c_20853,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(converse(X1),complement(composition(X1,complement(converse(X0))))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_7774,c_221]) ).
tcf(c_20854,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,complement(composition(converse(X2),complement(composition(X2,X0)))))))) = join(complement(X0),composition(converse(X2),complement(composition(X2,X0)))),
inference(superposition,[status(thm)],[c_7774,c_362]) ).
tcf(c_20855,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,composition(converse(X1),complement(composition(X1,complement(iPr_def_10))))),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_7774,c_9109]) ).
tcf(c_20856,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,complement(complement(join(iPr_def_11,complement(X1)))))))) = join(complement(join(X1,iPr_def_11)),complement(join(iPr_def_11,complement(X1)))),
inference(superposition,[status(thm)],[c_7774,c_369]) ).
tcf(c_20857,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,complement(iPr_def_10))))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_7774,c_20457]) ).
tcf(c_20858,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(converse(X0),complement(composition(X0,complement(iPr_def_10)))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7774,c_18626]) ).
tcf(c_20859,plain,
! [X0: $i] : composition(converse(composition(converse(X0),complement(composition(X0,complement(iPr_def_10))))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_7774,c_16861]) ).
tcf(c_20860,plain,
! [X0: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,complement(iPr_def_10)))),top)))) = zero,
inference(superposition,[status(thm)],[c_7774,c_9562]) ).
tcf(c_20861,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,complement(iPr_def_10)))),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7774,c_392]) ).
tcf(c_20865,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,complement(composition(converse(X1),complement(composition(X1,iPr_def_10)))))))) = join(iPr_def_11,composition(converse(X1),complement(composition(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_7774,c_434]) ).
tcf(c_20866,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_10))))),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_7774,c_20452]) ).
tcf(c_20867,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_10))))),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_7774,c_16856]) ).
tcf(c_20869,plain,
! [X0: $i] : join(one,converse(composition(converse(X0),complement(composition(X0,complement(one)))))) = converse(one),
inference(superposition,[status(thm)],[c_7774,c_1723]) ).
tcf(c_20870,plain,
! [X0: $i,X1: $i] : join(X0,composition(composition(converse(X1),complement(composition(X1,complement(one)))),X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_7774,c_1767]) ).
tcf(c_20873,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_11))))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_7774,c_18471]) ).
tcf(c_20874,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(X0),complement(composition(X0,complement(iPr_def_12)))),top)) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_7774,c_11839]) ).
tcf(c_20876,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,complement(iPr_def_12))))) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_7774,c_3214]) ).
tcf(c_20877,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_12))))),iPr_def_10) = composition(converse(iPr_def_12),iPr_def_10),
inference(superposition,[status(thm)],[c_7774,c_20661]) ).
tcf(c_20884,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,complement(complement(converse(complement(converse(iPr_def_11))))))))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_7774,c_12338]) ).
tcf(c_20886,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(converse(X0),complement(composition(X0,complement(composition(complement(join(iPr_def_11,X1)),top))))),top)) = join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X1)),top),top)),
inference(superposition,[status(thm)],[c_7774,c_16170]) ).
tcf(c_20887,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,complement(composition(complement(join(iPr_def_11,X1)),top)))))) = join(iPr_def_10,composition(complement(join(iPr_def_11,X1)),top)),
inference(superposition,[status(thm)],[c_7774,c_13393]) ).
tcf(c_20891,plain,
! [X0: $i] : join(X0,composition(zero,top)) = X0,
inference(light_normalisation,[status(thm)],[c_20819,c_1431,c_1950]) ).
tcf(c_20893,plain,
join(iPr_def_12,converse(converse(iPr_def_12))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_20821,c_1431,c_17480]) ).
tcf(c_20896,plain,
join(composition(top,iPr_def_10),composition(top,iPr_def_10)) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_20824,c_1431,c_19820]) ).
tcf(c_20897,plain,
join(composition(top,iPr_def_11),composition(top,iPr_def_11)) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20823,c_1431,c_18545]) ).
tcf(c_20899,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,complement(iPr_def_12))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_20876,c_3207]) ).
tcf(c_20900,plain,
! [X0: $i] : join(one,converse(composition(converse(X0),complement(composition(X0,complement(one)))))) = one,
inference(light_normalisation,[status(thm)],[c_20869,c_1689]) ).
tcf(c_20901,plain,
! [X0: $i] : join(composition(X0,top),composition(X0,top)) = composition(X0,top),
inference(light_normalisation,[status(thm)],[c_20814,c_55,c_1431]) ).
tcf(c_20902,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),composition(converse(X1),complement(composition(X1,complement(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_20833,c_50,c_49]) ).
tcf(c_20903,plain,
! [X0: $i] : join(composition(converse(X0),top),composition(converse(X0),top)) = composition(converse(X0),top),
inference(light_normalisation,[status(thm)],[c_20820,c_1431]) ).
tcf(c_20904,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_12))))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_20877,c_7459]) ).
tcf(c_20905,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(converse(X0),complement(composition(X0,complement(iPr_def_12)))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_20874,c_11779]) ).
tcf(c_20906,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_11))))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_20873,c_3196]) ).
tcf(c_20907,plain,
! [X0: $i,X1: $i] : join(X0,composition(composition(converse(X1),complement(composition(X1,complement(one)))),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_20870,c_1708]) ).
tcf(c_20908,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_10))))),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_20867,c_1360]) ).
tcf(c_20909,plain,
! [X0: $i] : composition(composition(converse(X0),complement(composition(X0,complement(converse(iPr_def_10))))),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_20866,c_7055]) ).
tcf(c_20913,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(converse(X1),complement(composition(X1,complement(converse(X0))))))) = X0,
inference(light_normalisation,[status(thm)],[c_20853,c_55]) ).
tcf(c_20918,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,composition(converse(X2),complement(composition(X2,complement(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_20831,c_50,c_49]) ).
tcf(c_20920,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,composition(converse(X0),complement(composition(X0,complement(iPr_def_11))))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_20846,c_50,c_49]) ).
tcf(c_20923,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),composition(converse(converse(join(iPr_def_10,X0))),complement(zero)))) = join(iPr_def_10,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_20817,c_50,c_49]) ).
tcf(c_20924,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,top),composition(converse(converse(join(iPr_def_10,X0))),top))) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_20923,c_1431]) ).
tcf(c_20925,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(X0,join(iPr_def_11,composition(converse(X1),complement(composition(X1,complement(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20830,c_50,c_49]) ).
tcf(c_20926,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,complement(complement(converse(complement(converse(iPr_def_11))))))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_20884,c_12393]) ).
tcf(c_20927,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(converse(X0),complement(composition(X0,complement(iPr_def_10))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_20858,c_50,c_49]) ).
tcf(c_20956,plain,
join(zero,complement(complement(iPr_def_12))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_4240,c_13163]) ).
tcf(c_20957,plain,
join(complement(join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_20759,c_376]) ).
tcf(c_20958,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),join(complement(iPr_def_11),X0))) = top,
inference(superposition,[status(thm)],[c_20759,c_7392]) ).
tcf(c_20960,plain,
join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_20759,c_375]) ).
tcf(c_20964,plain,
composition(converse(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))),iPr_def_10) = composition(converse(iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_20759,c_18476]) ).
tcf(c_20970,plain,
join(iPr_def_11,complement(join(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),iPr_def_11))) = join(iPr_def_11,complement(iPr_def_11)),
inference(superposition,[status(thm)],[c_20759,c_11158]) ).
tcf(c_20972,plain,
join(iPr_def_12,composition(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),top)) = composition(iPr_def_11,top),
inference(superposition,[status(thm)],[c_20759,c_391]) ).
tcf(c_20979,plain,
join(iPr_def_11,join(complement(iPr_def_11),composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_20960,c_50,c_49]) ).
tcf(c_20980,plain,
join(iPr_def_11,join(iPr_def_10,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_20979,c_1671]) ).
tcf(c_20981,plain,
join(iPr_def_10,join(iPr_def_11,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_20980,c_50,c_49]) ).
tcf(c_20983,plain,
join(iPr_def_12,composition(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_20972,c_116]) ).
tcf(c_20984,plain,
composition(converse(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))),iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_20964,c_3196]) ).
tcf(c_20985,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_11),join(X0,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_20958,c_50,c_49]) ).
tcf(c_20986,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,join(X0,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))))) = top,
inference(light_normalisation,[status(thm)],[c_20985,c_1671]) ).
tcf(c_20987,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_20986,c_50,c_49]) ).
tcf(c_20989,plain,
join(iPr_def_11,complement(join(iPr_def_11,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10)))))) = join(iPr_def_11,complement(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_20970,c_50,c_49]) ).
tcf(c_20991,plain,
join(complement(join(iPr_def_11,complement(iPr_def_11))),complement(join(iPr_def_11,join(iPr_def_11,composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_20957,c_50,c_49]) ).
tcf(c_20998,plain,
join(iPr_def_11,complement(join(iPr_def_11,join(iPr_def_10,complement(complement(join(iPr_def_10,complement(complement(join(iPr_def_11,top)))))))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1434,c_1431,c_1671]) ).
tcf(c_21003,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_55,c_381]) ).
tcf(c_21004,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_985,c_381]) ).
tcf(c_21005,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_221,c_381]) ).
tcf(c_21006,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_765,c_381]) ).
tcf(c_21007,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_222,c_381]) ).
tcf(c_21008,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_225,c_381]) ).
tcf(c_21009,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_226,c_381]) ).
tcf(c_21010,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,top)),X1) = composition(top,composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_2343,c_381]) ).
tcf(c_21011,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,zero)),X1) = composition(zero,composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_1950,c_381]) ).
tcf(c_21012,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,one)),X1) = composition(one,composition(converse(X0),X1)),
inference(superposition,[status(thm)],[c_1689,c_381]) ).
tcf(c_21013,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_1723,c_381]) ).
tcf(c_21014,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_1729,c_381]) ).
tcf(c_21015,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_2357,c_381]) ).
tcf(c_21016,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_2354,c_381]) ).
tcf(c_21017,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(top,converse(join(iPr_def_10,X0))),composition(converse(X1),X2)) = composition(converse(composition(X1,join(iPr_def_10,composition(X0,top)))),X2),
inference(superposition,[status(thm)],[c_16911,c_381]) ).
tcf(c_21018,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),one) = composition(converse(X1),converse(X0)),
inference(superposition,[status(thm)],[c_53,c_381]) ).
tcf(c_21019,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_57,c_381]) ).
tcf(c_21020,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),complement(composition(X0,top))) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_9545,c_381]) ).
tcf(c_21021,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),complement(iPr_def_12)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_1359,c_381]) ).
tcf(c_21024,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(iPr_def_10,X0),X1)),complement(join(iPr_def_10,composition(X0,top)))) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_9562,c_381]) ).
tcf(c_21025,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,X1)),zero) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_8201,c_381]) ).
tcf(c_21026,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_8222,c_381]) ).
tcf(c_21028,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_12534,c_381]) ).
tcf(c_21029,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_11) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_2775,c_381]) ).
tcf(c_21030,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_8221,c_381]) ).
tcf(c_21031,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_12795,c_381]) ).
tcf(c_21032,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_12) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_7055,c_381]) ).
tcf(c_21033,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_8911,c_381]) ).
tcf(c_21034,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_13261,c_381]) ).
tcf(c_21035,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_10) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_7459,c_381]) ).
tcf(c_21036,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_12931,c_381]) ).
tcf(c_21037,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_8927,c_381]) ).
tcf(c_21038,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_8919,c_381]) ).
tcf(c_21039,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_8938,c_381]) ).
tcf(c_21040,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_9546,c_381]) ).
tcf(c_21041,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),top) = composition(converse(X0),composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_18563,c_381]) ).
tcf(c_21042,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),top) = composition(converse(X0),composition(top,iPr_def_10)),
inference(superposition,[status(thm)],[c_19820,c_381]) ).
tcf(c_21043,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),complement(iPr_def_12)) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_11843,c_381]) ).
tcf(c_21044,plain,
! [X0: $i] : composition(converse(composition(complement(iPr_def_12),X0)),iPr_def_12) = composition(converse(X0),zero),
inference(superposition,[status(thm)],[c_12194,c_381]) ).
tcf(c_21045,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),top) = composition(converse(X0),composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_18545,c_381]) ).
tcf(c_21046,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(iPr_def_10,X0),X1)),iPr_def_11) = composition(converse(X1),composition(converse(X0),iPr_def_11)),
inference(superposition,[status(thm)],[c_16861,c_381]) ).
tcf(c_21047,plain,
! [X0: $i] : composition(converse(composition(iPr_def_10,X0)),iPr_def_10) = composition(converse(X0),composition(top,iPr_def_10)),
inference(superposition,[status(thm)],[c_19078,c_381]) ).
tcf(c_21048,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,iPr_def_10),X1)),iPr_def_11) = composition(converse(X1),composition(converse(X0),iPr_def_11)),
inference(superposition,[status(thm)],[c_17287,c_381]) ).
tcf(c_21049,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_11) = composition(converse(X0),composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_17362,c_381]) ).
tcf(c_21050,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_11) = composition(converse(X0),composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_17360,c_381]) ).
tcf(c_21051,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,X0)),iPr_def_12) = composition(converse(X0),composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_20581,c_381]) ).
tcf(c_21052,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(iPr_def_11,X0),X1)),iPr_def_10) = composition(converse(X1),composition(converse(X0),iPr_def_10)),
inference(superposition,[status(thm)],[c_18476,c_381]) ).
tcf(c_21053,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,iPr_def_11),X1)),iPr_def_10) = composition(converse(X1),composition(converse(X0),iPr_def_10)),
inference(superposition,[status(thm)],[c_18951,c_381]) ).
tcf(c_21054,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(iPr_def_10,X0),X1)),iPr_def_12) = composition(converse(X1),composition(converse(X0),iPr_def_12)),
inference(superposition,[status(thm)],[c_20457,c_381]) ).
tcf(c_21055,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,iPr_def_10),X1)),iPr_def_12) = composition(converse(X1),composition(converse(X0),iPr_def_12)),
inference(superposition,[status(thm)],[c_20498,c_381]) ).
tcf(c_21056,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),iPr_def_12) = composition(converse(X0),composition(top,iPr_def_11)),
inference(superposition,[status(thm)],[c_20579,c_381]) ).
tcf(c_21057,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_55,c_381]) ).
tcf(c_21058,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_985,c_381]) ).
tcf(c_21059,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_221,c_381]) ).
tcf(c_21060,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_765,c_381]) ).
tcf(c_21061,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_222,c_381]) ).
tcf(c_21062,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_225,c_381]) ).
tcf(c_21063,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_226,c_381]) ).
tcf(c_21064,plain,
! [X0: $i,X1: $i] : composition(converse(composition(top,X0)),X1) = composition(converse(X0),composition(top,X1)),
inference(superposition,[status(thm)],[c_2343,c_381]) ).
tcf(c_21065,plain,
! [X0: $i,X1: $i] : composition(converse(composition(zero,X0)),X1) = composition(converse(X0),composition(zero,X1)),
inference(superposition,[status(thm)],[c_1950,c_381]) ).
tcf(c_21066,plain,
! [X0: $i,X1: $i] : composition(converse(composition(one,X0)),X1) = composition(converse(X0),composition(one,X1)),
inference(superposition,[status(thm)],[c_1689,c_381]) ).
tcf(c_21067,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_1723,c_381]) ).
tcf(c_21068,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_1729,c_381]) ).
tcf(c_21069,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_2357,c_381]) ).
tcf(c_21070,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_2354,c_381]) ).
tcf(c_21071,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(composition(top,converse(join(iPr_def_10,X1))),X2)) = composition(converse(composition(join(iPr_def_10,composition(X1,top)),X0)),X2),
inference(superposition,[status(thm)],[c_16911,c_381]) ).
tcf(c_21072,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(composition(converse(composition(X0,X1)),X2)),complement(composition(converse(X1),composition(composition(converse(X0),X2),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_381,c_433]) ).
tcf(c_21073,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_381,c_54]) ).
tcf(c_21074,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_381,c_52]) ).
tcf(c_21075,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_381,c_54]) ).
tcf(c_21076,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_381,c_362]) ).
tcf(c_21078,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_381,c_1767]) ).
tcf(c_21079,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_381,c_76]) ).
tcf(c_21080,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_381,c_350]) ).
tcf(c_21081,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_381,c_226]) ).
tcf(c_21082,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_381,c_381]) ).
tcf(c_21083,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(converse(X0),converse(X1))),complement(composition(converse(composition(X1,X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_381,c_433]) ).
tcf(c_21084,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(iPr_def_11),composition(converse(X0),X1))) = composition(iPr_def_10,composition(converse(composition(X0,iPr_def_12)),X1)),
inference(superposition,[status(thm)],[c_381,c_17451]) ).
tcf(c_21086,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_381,c_16989]) ).
tcf(c_21088,plain,
! [X0: $i] : composition(converse(X0),zero) = zero,
inference(light_normalisation,[status(thm)],[c_21035,c_8919]) ).
tcf(c_21092,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(one,X1)) = converse(composition(converse(X1),X0)),
inference(light_normalisation,[status(thm)],[c_21066,c_1382]) ).
tcf(c_21093,plain,
! [X0: $i,X1: $i] : composition(converse(X0),composition(zero,X1)) = composition(zero,X1),
inference(light_normalisation,[status(thm)],[c_21065,c_1950,c_8217]) ).
tcf(c_21094,plain,
! [X0: $i,X1: $i] : composition(composition(converse(X0),top),X1) = composition(converse(X0),composition(top,X1)),
inference(light_normalisation,[status(thm)],[c_21064,c_2357]) ).
tcf(c_21095,plain,
! [X0: $i,X1: $i] : composition(one,composition(converse(X0),X1)) = composition(converse(X0),X1),
inference(light_normalisation,[status(thm)],[c_21012,c_53]) ).
tcf(c_21096,plain,
! [X0: $i,X1: $i] : composition(zero,composition(converse(X0),X1)) = composition(zero,X1),
inference(light_normalisation,[status(thm)],[c_21011,c_1950,c_8201]) ).
tcf(c_21097,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(X0)),X1) = composition(top,composition(converse(X0),X1)),
inference(light_normalisation,[status(thm)],[c_21010,c_2354]) ).
tcf(c_21098,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_21057,c_226]) ).
tcf(c_21099,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_21003,c_225]) ).
tcf(c_21100,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_21081,c_226]) ).
tcf(c_21102,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(composition(X0,X1))),complement(composition(converse(composition(X0,X1)),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_21083,c_57]) ).
tcf(c_21104,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_21008,c_1021]) ).
tcf(c_21130,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),X1)) = top,
inference(demodulation,[status(thm)],[c_9715,c_7096]) ).
tcf(c_21139,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_49,c_21130]) ).
tcf(c_21144,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(converse(complement(converse(X0))),X2))) = top,
inference(superposition,[status(thm)],[c_191,c_21130]) ).
tcf(c_21152,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,one),converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1782,c_21130]) ).
tcf(c_21153,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,X1),converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1767,c_21130]) ).
tcf(c_21158,plain,
! [X0: $i] : join(X0,composition(top,converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_11631,c_21130]) ).
tcf(c_21161,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(converse(complement(X0)),X1)) = top,
inference(superposition,[status(thm)],[c_55,c_21130]) ).
tcf(c_21162,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),join(converse(complement(join(converse(X1),X0))),X2)) = top,
inference(superposition,[status(thm)],[c_985,c_21130]) ).
tcf(c_21163,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),join(converse(complement(join(X0,converse(X1)))),X2)) = top,
inference(superposition,[status(thm)],[c_221,c_21130]) ).
tcf(c_21164,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),join(converse(complement(join(X1,converse(X0)))),X2)) = top,
inference(superposition,[status(thm)],[c_765,c_21130]) ).
tcf(c_21165,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),join(converse(complement(join(converse(X0),X1))),X2)) = top,
inference(superposition,[status(thm)],[c_222,c_21130]) ).
tcf(c_21166,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),join(converse(complement(composition(X1,converse(X0)))),X2)) = top,
inference(superposition,[status(thm)],[c_225,c_21130]) ).
tcf(c_21167,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),join(converse(complement(composition(converse(X1),X0))),X2)) = top,
inference(superposition,[status(thm)],[c_226,c_21130]) ).
tcf(c_21168,plain,
! [X0: $i] : join(top,join(converse(complement(top)),X0)) = top,
inference(superposition,[status(thm)],[c_2343,c_21130]) ).
tcf(c_21169,plain,
! [X0: $i] : join(zero,join(converse(complement(zero)),X0)) = top,
inference(superposition,[status(thm)],[c_1950,c_21130]) ).
tcf(c_21171,plain,
! [X0: $i,X1: $i] : join(join(one,X0),join(converse(complement(join(one,converse(X0)))),X1)) = top,
inference(superposition,[status(thm)],[c_1723,c_21130]) ).
tcf(c_21172,plain,
! [X0: $i,X1: $i] : join(join(X0,one),join(converse(complement(join(one,converse(X0)))),X1)) = top,
inference(superposition,[status(thm)],[c_1729,c_21130]) ).
tcf(c_21173,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),join(converse(complement(composition(converse(X0),top))),X1)) = top,
inference(superposition,[status(thm)],[c_2357,c_21130]) ).
tcf(c_21174,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(converse(complement(composition(top,converse(X0)))),X1)) = top,
inference(superposition,[status(thm)],[c_2354,c_21130]) ).
tcf(c_21175,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(X0,top)),join(converse(complement(composition(top,converse(join(iPr_def_10,X0))))),X1)) = top,
inference(superposition,[status(thm)],[c_16911,c_21130]) ).
tcf(c_21176,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(converse(complement(converse(X0))),X1),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_21130,c_376]) ).
tcf(c_21177,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(converse(complement(converse(X0))),X1),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_21130,c_7392]) ).
tcf(c_21180,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(converse(complement(converse(X0))),X1),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_21130,c_50]) ).
tcf(c_21182,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(converse(complement(converse(join(X0,X1)))),X2))) = top,
inference(superposition,[status(thm)],[c_21130,c_50]) ).
tcf(c_21184,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(converse(complement(converse(X0))),X2))) = join(X1,top),
inference(superposition,[status(thm)],[c_21130,c_191]) ).
tcf(c_21185,plain,
! [X0: $i] : join(converse(complement(converse(zero))),X0) = top,
inference(superposition,[status(thm)],[c_21130,c_1336]) ).
tcf(c_21186,plain,
! [X0: $i] : composition(converse(join(converse(complement(converse(iPr_def_11))),X0)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_21130,c_18476]) ).
tcf(c_21192,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(converse(complement(converse(iPr_def_11))),X0),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_21130,c_11158]) ).
tcf(c_21197,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(converse(complement(converse(converse(X0)))),X1))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_21130,c_776]) ).
tcf(c_21199,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(converse(complement(converse(converse(X0)))),X1))) = converse(top),
inference(superposition,[status(thm)],[c_21130,c_221]) ).
tcf(c_21200,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(converse(complement(converse(composition(converse(X1),complement(composition(X1,X0)))))),X2)) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_21130,c_362]) ).
tcf(c_21201,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(converse(complement(converse(iPr_def_10))),X1)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_21130,c_9109]) ).
tcf(c_21202,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(complement(join(iPr_def_11,complement(X0)))))),X1)) = join(complement(join(X0,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_21130,c_369]) ).
tcf(c_21203,plain,
! [X0: $i] : composition(converse(join(converse(complement(converse(iPr_def_10))),X0)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_21130,c_20457]) ).
tcf(c_21204,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(converse(complement(converse(iPr_def_10))),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_21130,c_18626]) ).
tcf(c_21205,plain,
! [X0: $i] : composition(converse(join(converse(complement(converse(iPr_def_10))),X0)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_21130,c_16861]) ).
tcf(c_21206,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(converse(complement(converse(iPr_def_10))),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_21130,c_9562]) ).
tcf(c_21207,plain,
! [X0: $i] : join(iPr_def_10,composition(join(converse(complement(converse(iPr_def_10))),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21130,c_392]) ).
tcf(c_21208,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(X0,converse(complement(converse(X0)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_21130,c_376]) ).
tcf(c_21214,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(converse(complement(converse(composition(converse(X0),complement(composition(X0,iPr_def_10)))))),X1)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_21130,c_434]) ).
tcf(c_21215,plain,
! [X0: $i] : composition(join(converse(complement(converse(converse(iPr_def_10)))),X0),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_21130,c_20452]) ).
tcf(c_21216,plain,
! [X0: $i] : composition(join(converse(complement(converse(converse(iPr_def_10)))),X0),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_21130,c_16856]) ).
tcf(c_21219,plain,
! [X0: $i] : join(one,converse(join(converse(complement(converse(one))),X0))) = converse(top),
inference(superposition,[status(thm)],[c_21130,c_1723]) ).
tcf(c_21220,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(converse(complement(converse(one))),X1),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_21130,c_1767]) ).
tcf(c_21225,plain,
composition(iPr_def_10,composition(converse(top),complement(join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),top))))) = zero,
inference(superposition,[status(thm)],[c_21130,c_18823]) ).
tcf(c_21226,plain,
composition(top,composition(converse(top),complement(join(iPr_def_10,composition(converse(complement(converse(iPr_def_10))),top))))) = zero,
inference(superposition,[status(thm)],[c_21130,c_18222]) ).
tcf(c_21227,plain,
! [X0: $i] : composition(join(converse(complement(converse(converse(iPr_def_11)))),X0),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_21130,c_18471]) ).
tcf(c_21228,plain,
! [X0: $i] : join(iPr_def_12,composition(join(converse(complement(converse(iPr_def_12))),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21130,c_11839]) ).
tcf(c_21230,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_12))),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_21130,c_3214]) ).
tcf(c_21231,plain,
! [X0: $i] : composition(join(converse(complement(converse(converse(iPr_def_12)))),X0),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_21130,c_20661]) ).
tcf(c_21244,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(complement(converse(complement(converse(iPr_def_11))))))),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_21130,c_12338]) ).
tcf(c_21252,plain,
join(converse(complement(converse(iPr_def_10))),complement(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_21130,c_13166]) ).
tcf(c_21253,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(complement(converse(composition(complement(join(iPr_def_11,X0)),top)))),X1),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_21130,c_16170]) ).
tcf(c_21254,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(composition(complement(join(iPr_def_11,X0)),top)))),X1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_21130,c_13393]) ).
tcf(c_21255,plain,
join(converse(complement(converse(iPr_def_10))),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_21130,c_13394]) ).
tcf(c_21260,plain,
join(iPr_def_10,converse(complement(converse(iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_21255,c_50,c_49]) ).
tcf(c_21268,plain,
join(complement(iPr_def_12),converse(complement(converse(iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_21252,c_50,c_49]) ).
tcf(c_21273,plain,
! [X0: $i] : composition(join(converse(complement(converse(converse(iPr_def_10)))),X0),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21215,c_19797]) ).
tcf(c_21274,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(converse(complement(X0)),X1))) = top,
inference(light_normalisation,[status(thm)],[c_21199,c_55,c_2343]) ).
tcf(c_21279,plain,
! [X0: $i] : join(iPr_def_12,composition(join(converse(complement(converse(iPr_def_12))),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_21228,c_11762]) ).
tcf(c_21281,plain,
! [X0: $i] : join(iPr_def_10,composition(join(converse(complement(converse(iPr_def_10))),X0),top)) = top,
inference(light_normalisation,[status(thm)],[c_21207,c_11762]) ).
tcf(c_21282,plain,
! [X0: $i] : composition(converse(join(converse(complement(converse(iPr_def_10))),X0)),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21205,c_2343]) ).
tcf(c_21283,plain,
! [X0: $i] : composition(converse(join(converse(complement(converse(iPr_def_10))),X0)),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21203,c_2343,c_19797]) ).
tcf(c_21284,plain,
! [X0: $i] : composition(converse(join(converse(complement(converse(iPr_def_11))),X0)),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_21186,c_2343]) ).
tcf(c_21285,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(complement(converse(X0))),join(X1,X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_21180,c_50,c_49]) ).
tcf(c_21286,plain,
! [X0: $i,X1: $i] : join(X0,join(one,join(converse(complement(join(one,converse(X0)))),X1))) = top,
inference(theory_normalisation,[status(thm)],[c_21172,c_50,c_49]) ).
tcf(c_21287,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(converse(complement(join(one,converse(X0)))),X1))) = top,
inference(theory_normalisation,[status(thm)],[c_21171,c_50,c_49]) ).
tcf(c_21289,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(top),join(X1,join(X2,converse(complement(converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21177,c_50,c_49]) ).
tcf(c_21290,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(zero,join(X1,join(X2,converse(complement(converse(X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_21289,c_107]) ).
tcf(c_21291,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),join(converse(complement(join(converse(X0),X1))),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_21165,c_50,c_49]) ).
tcf(c_21292,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),join(converse(complement(join(X1,converse(X0)))),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_21164,c_50,c_49]) ).
tcf(c_21293,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,join(converse(complement(join(X0,converse(X1)))),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_21163,c_50,c_49]) ).
tcf(c_21294,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,join(converse(complement(join(converse(X1),X0))),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_21162,c_50,c_49]) ).
tcf(c_21297,plain,
! [X0: $i] : composition(top,complement(join(iPr_def_10,composition(join(converse(complement(converse(iPr_def_10))),X0),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_21206,c_2343]) ).
tcf(c_21298,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_21192,c_50,c_49]) ).
tcf(c_21299,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_21298,c_107]) ).
tcf(c_21300,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(converse(complement(converse(iPr_def_10))),X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_21201,c_7015,c_11762]) ).
tcf(c_21301,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,top),join(converse(complement(composition(top,converse(join(iPr_def_10,X0))))),X1))) = top,
inference(theory_normalisation,[status(thm)],[c_21175,c_50,c_49]) ).
tcf(c_21302,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(complement(join(iPr_def_11,complement(X0)))))),X1)) = join(top,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_21202,c_50,c_49]) ).
tcf(c_21303,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(complement(join(iPr_def_11,complement(X0)))))),X1)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_21302,c_18041]) ).
tcf(c_21304,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(converse(complement(X0)),X1))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_21197,c_55]) ).
tcf(c_21305,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(iPr_def_11,join(X1,converse(complement(converse(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_21176,c_50,c_49]) ).
tcf(c_21306,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(iPr_def_11,join(X1,converse(complement(converse(X0)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21305,c_107]) ).
tcf(c_21307,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(converse(complement(converse(composition(converse(X1),complement(composition(X1,X0)))))),X2)) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_21200,c_50,c_49]) ).
tcf(c_21308,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(converse(complement(converse(composition(complement(join(iPr_def_11,X0)),top)))),X1),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_21253,c_11762]) ).
tcf(c_21309,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,join(X0,converse(complement(converse(iPr_def_10))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_21204,c_50,c_49]) ).
tcf(c_21310,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(iPr_def_10,join(X0,converse(complement(converse(iPr_def_10))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_21309,c_2343]) ).
tcf(c_21327,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),X1)) = join(X1,join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_49,c_9035]) ).
tcf(c_21330,plain,
! [X0: $i] : join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(iPr_def_11,complement(X0))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_59,c_9035]) ).
tcf(c_21331,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(zero,join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_1336,c_9035]) ).
tcf(c_21332,plain,
! [X0: $i] : join(top,join(iPr_def_11,complement(X0))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7096,c_9035]) ).
tcf(c_21333,plain,
! [X0: $i] : join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),join(iPr_def_11,complement(X0))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),
inference(superposition,[status(thm)],[c_7769,c_9035]) ).
tcf(c_21334,plain,
join(iPr_def_10,join(iPr_def_11,complement(iPr_def_11))) = join(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_8588,c_9035]) ).
tcf(c_21336,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(X2,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X1,X2)))))))))) = join(X0,join(iPr_def_11,complement(join(X1,X2)))),
inference(superposition,[status(thm)],[c_50,c_9035]) ).
tcf(c_21337,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(X1,complement(join(iPr_def_11,complement(X1)))))))) = join(X0,join(iPr_def_11,complement(X1))),
inference(superposition,[status(thm)],[c_191,c_9035]) ).
tcf(c_21338,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(zero))))))) = join(X0,join(iPr_def_11,complement(zero))),
inference(superposition,[status(thm)],[c_1336,c_9035]) ).
tcf(c_21340,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_10))) = join(iPr_def_11,join(X0,complement(top))),
inference(superposition,[status(thm)],[c_7123,c_9035]) ).
tcf(c_21341,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11))))))) = join(X0,join(iPr_def_11,complement(iPr_def_11))),
inference(superposition,[status(thm)],[c_7878,c_9035]) ).
tcf(c_21342,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(join(iPr_def_11,X1),join(iPr_def_11,X1))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_10560,c_9035]) ).
tcf(c_21343,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_11,complement(top)))))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_9035]) ).
tcf(c_21344,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(converse(complement(converse(iPr_def_11))),join(iPr_def_11,complement(iPr_def_11)))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_12326,c_9035]) ).
tcf(c_21345,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))),join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))))) = join(X0,join(iPr_def_11,complement(X1))),
inference(superposition,[status(thm)],[c_1888,c_9035]) ).
tcf(c_21346,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_12,join(iPr_def_11,complement(top)))))) = join(X0,top),
inference(superposition,[status(thm)],[c_4192,c_9035]) ).
tcf(c_21347,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(join(X1,join(iPr_def_11,X1)),join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X1))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_11158,c_9035]) ).
tcf(c_21348,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(join(iPr_def_11,complement(join(iPr_def_11,X1))),join(iPr_def_11,complement(join(iPr_def_11,X1))))))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_10560,c_9035]) ).
tcf(c_21349,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(complement(X1),join(iPr_def_11,complement(join(iPr_def_11,X1))))))) = join(X0,join(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_7732,c_9035]) ).
tcf(c_21350,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,zero))))))) = join(X0,join(iPr_def_11,zero)),
inference(superposition,[status(thm)],[c_107,c_9035]) ).
tcf(c_21351,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))) = join(X0,join(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_192,c_9035]) ).
tcf(c_21352,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))))) = join(X0,join(iPr_def_11,iPr_def_10)),
inference(superposition,[status(thm)],[c_1671,c_9035]) ).
tcf(c_21353,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,top))))))) = join(X0,join(iPr_def_11,top)),
inference(superposition,[status(thm)],[c_1431,c_9035]) ).
tcf(c_21354,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,join(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(X1))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9035,c_376]) ).
tcf(c_21355,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),join(complement(join(X0,join(iPr_def_11,complement(X1)))),X2))) = top,
inference(superposition,[status(thm)],[c_9035,c_7392]) ).
tcf(c_21356,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,complement(X1)))) = join(X0,join(iPr_def_11,complement(X1))),
inference(superposition,[status(thm)],[c_9035,c_7878]) ).
tcf(c_21357,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),complement(join(X0,join(iPr_def_11,complement(X1)))))) = top,
inference(superposition,[status(thm)],[c_9035,c_375]) ).
tcf(c_21358,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),X2)) = join(join(X0,join(iPr_def_11,complement(X1))),X2),
inference(superposition,[status(thm)],[c_9035,c_50]) ).
tcf(c_21361,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,complement(join(X2,join(iPr_def_11,complement(join(iPr_def_11,complement(X2))))))))) = join(X0,join(X1,join(iPr_def_11,complement(X2)))),
inference(superposition,[status(thm)],[c_9035,c_191]) ).
tcf(c_21362,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))))) = join(X0,join(iPr_def_11,complement(X1))),
inference(superposition,[status(thm)],[c_9035,c_191]) ).
tcf(c_21363,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))))),iPr_def_10) = composition(converse(join(X0,join(iPr_def_11,complement(X1)))),iPr_def_10),
inference(superposition,[status(thm)],[c_9035,c_18476]) ).
tcf(c_21364,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(composition(complement(join(X0,join(iPr_def_11,complement(X1)))),top),X2),top)) = join(iPr_def_10,composition(X2,top)),
inference(superposition,[status(thm)],[c_9035,c_16170]) ).
tcf(c_21365,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(complement(join(X0,join(iPr_def_11,complement(X1)))),top)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_9035,c_13916]) ).
tcf(c_21366,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(iPr_def_11,complement(X1)))),top),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_9035,c_13393]) ).
tcf(c_21367,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(X0,join(iPr_def_11,complement(X1)))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_9035,c_13315]) ).
tcf(c_21368,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,complement(join(X0,join(iPr_def_11,complement(X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9035,c_8588]) ).
tcf(c_21369,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),join(X0,join(iPr_def_11,complement(X1)))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(X1))))),
inference(superposition,[status(thm)],[c_9035,c_11158]) ).
tcf(c_21370,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(X1))))))) = join(X0,join(iPr_def_11,complement(X1))),
inference(superposition,[status(thm)],[c_9035,c_10560]) ).
tcf(c_21371,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),top)) = composition(join(X0,join(iPr_def_11,complement(X1))),top),
inference(superposition,[status(thm)],[c_9035,c_391]) ).
tcf(c_21372,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(iPr_def_11,complement(X1)))),complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(X1))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9035,c_8543]) ).
tcf(c_21374,plain,
join(join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11)))),join(iPr_def_11,complement(iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_9035,c_375]) ).
tcf(c_21375,plain,
! [X0: $i] : join(complement(iPr_def_11),join(iPr_def_11,complement(X0))) = top,
inference(superposition,[status(thm)],[c_9035,c_7124]) ).
tcf(c_21376,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,composition(complement(join(X1,join(iPr_def_11,complement(X2)))),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_9035,c_13394]) ).
tcf(c_21377,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(complement(join(X0,join(X1,join(iPr_def_11,complement(X2))))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_9035,c_13365]) ).
tcf(c_21378,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,complement(X2))))) = top,
inference(superposition,[status(thm)],[c_9035,c_7698]) ).
tcf(c_21379,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,iPr_def_10))),join(iPr_def_11,complement(X1))) = join(iPr_def_11,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),
inference(superposition,[status(thm)],[c_9035,c_434]) ).
tcf(c_21380,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),top)) = composition(join(iPr_def_10,join(iPr_def_11,complement(X0))),top),
inference(superposition,[status(thm)],[c_9035,c_9109]) ).
tcf(c_21381,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,join(iPr_def_11,complement(X0)))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_9035,c_13365]) ).
tcf(c_21382,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(iPr_def_11,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_9035,c_7698]) ).
tcf(c_21383,plain,
! [X0: $i] : join(converse(complement(converse(iPr_def_11))),join(iPr_def_11,complement(X0))) = top,
inference(superposition,[status(thm)],[c_9035,c_21130]) ).
tcf(c_21384,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_12,join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_9035,c_3214]) ).
tcf(c_21386,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(join(X0,iPr_def_11)),join(iPr_def_11,complement(X1)))) = top,
inference(superposition,[status(thm)],[c_9035,c_7392]) ).
tcf(c_21387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,complement(X3)))))) = top,
inference(superposition,[status(thm)],[c_9035,c_7830]) ).
tcf(c_21388,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(iPr_def_11,complement(X1))))) = top,
inference(superposition,[status(thm)],[c_9035,c_7830]) ).
tcf(c_21389,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_9035,c_7878]) ).
tcf(c_21390,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(complement(converse(complement(converse(iPr_def_11)))),join(iPr_def_11,complement(X0))),
inference(superposition,[status(thm)],[c_9035,c_12338]) ).
tcf(c_21391,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,join(iPr_def_11,complement(X1))))) = top,
inference(superposition,[status(thm)],[c_9035,c_15206]) ).
tcf(c_21393,plain,
! [X0: $i] : join(composition(top,iPr_def_10),join(iPr_def_11,complement(X0))) = top,
inference(superposition,[status(thm)],[c_9035,c_14229]) ).
tcf(c_21394,plain,
! [X0: $i] : join(composition(top,complement(iPr_def_12)),join(iPr_def_11,complement(X0))) = top,
inference(superposition,[status(thm)],[c_9035,c_15762]) ).
tcf(c_21396,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_21375,c_50,c_49]) ).
tcf(c_21403,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),composition(top,iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_21393,c_50,c_49]) ).
tcf(c_21404,plain,
join(iPr_def_10,join(iPr_def_11,complement(iPr_def_11))) = join(iPr_def_10,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_21334,c_50,c_49]) ).
tcf(c_21405,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_21404,c_209,c_1671]) ).
tcf(c_21406,plain,
! [X0: $i] : join(iPr_def_11,join(top,complement(X0))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_21332,c_50,c_49]) ).
tcf(c_21408,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),composition(top,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_21394,c_50,c_49]) ).
tcf(c_21409,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),converse(complement(converse(iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_21383,c_50,c_49]) ).
tcf(c_21412,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(iPr_def_12,complement(X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_21391,c_50,c_49]) ).
tcf(c_21413,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(complement(X1),complement(join(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_21386,c_50,c_49]) ).
tcf(c_21415,plain,
join(iPr_def_11,join(iPr_def_11,join(complement(iPr_def_11),complement(join(iPr_def_11,complement(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_21374,c_50,c_49]) ).
tcf(c_21416,plain,
join(iPr_def_11,join(iPr_def_11,join(iPr_def_10,complement(join(iPr_def_11,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_21415,c_1671]) ).
tcf(c_21417,plain,
join(iPr_def_10,join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_21416,c_50,c_49]) ).
tcf(c_21418,plain,
join(iPr_def_10,join(iPr_def_11,join(iPr_def_11,zero))) = top,
inference(light_normalisation,[status(thm)],[c_21417,c_107,c_209]) ).
tcf(c_21423,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_12,complement(top)))))) = join(X0,top),
inference(theory_normalisation,[status(thm)],[c_21346,c_50,c_49]) ).
tcf(c_21424,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_12,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_21423,c_107,c_7015]) ).
tcf(c_21425,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_11,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_21343,c_107,c_7015]) ).
tcf(c_21427,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(complement(iPr_def_11),converse(complement(converse(iPr_def_11)))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_21344,c_50,c_49]) ).
tcf(c_21428,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_10,converse(complement(converse(iPr_def_11)))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21427,c_1671]) ).
tcf(c_21429,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_10,join(iPr_def_11,converse(complement(converse(iPr_def_11)))))))) = join(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_21428,c_50,c_49]) ).
tcf(c_21430,plain,
! [X0: $i] : join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_21330,c_50,c_49]) ).
tcf(c_21433,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,join(iPr_def_12,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_21384,c_50,c_49]) ).
tcf(c_21434,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,complement(X0))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_21433,c_1888]) ).
tcf(c_21435,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))))) = join(X0,join(iPr_def_11,top)),
inference(theory_normalisation,[status(thm)],[c_21353,c_50,c_49]) ).
tcf(c_21436,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))))) = join(X0,join(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_21352,c_50,c_49]) ).
tcf(c_21438,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21351,c_11872]) ).
tcf(c_21439,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))))) = join(X0,join(iPr_def_11,zero)),
inference(theory_normalisation,[status(thm)],[c_21350,c_50,c_49]) ).
tcf(c_21440,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))))) = join(X0,join(iPr_def_11,zero)),
inference(light_normalisation,[status(thm)],[c_21439,c_2961]) ).
tcf(c_21441,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))))) = join(X0,join(iPr_def_11,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_21341,c_1671]) ).
tcf(c_21442,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))))) = join(X0,join(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_21441,c_50,c_49]) ).
tcf(c_21443,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_21442,c_107,c_209,c_7015]) ).
tcf(c_21444,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,zero)))) = join(X0,join(iPr_def_11,top)),
inference(light_normalisation,[status(thm)],[c_21338,c_1431,c_8024]) ).
tcf(c_21445,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,join(zero,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_21331,c_50,c_49]) ).
tcf(c_21446,plain,
! [X0: $i] : join(iPr_def_11,join(zero,complement(X0))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_21445,c_1888]) ).
tcf(c_21449,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(complement(X1),complement(join(iPr_def_11,X1))))))) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_21349,c_50,c_49]) ).
tcf(c_21450,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(X1,join(iPr_def_11,X1)))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,X1)))),
inference(theory_normalisation,[status(thm)],[c_21342,c_50,c_49]) ).
tcf(c_21451,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))) = join(iPr_def_11,join(complement(X0),complement(converse(complement(converse(iPr_def_11)))))),
inference(theory_normalisation,[status(thm)],[c_21390,c_50,c_49]) ).
tcf(c_21452,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(converse(complement(converse(iPr_def_11)))))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_21451,c_1888]) ).
tcf(c_21455,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))),complement(join(X0,join(iPr_def_11,complement(X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21357,c_50,c_49]) ).
tcf(c_21456,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_11,X1)))))))) = join(X0,join(iPr_def_11,X1)),
inference(theory_normalisation,[status(thm)],[c_21348,c_50,c_49]) ).
tcf(c_21457,plain,
! [X0: $i] : join(iPr_def_10,composition(join(iPr_def_11,complement(X0)),top)) = composition(join(iPr_def_10,join(iPr_def_11,complement(X0))),top),
inference(light_normalisation,[status(thm)],[c_21380,c_1888]) ).
tcf(c_21458,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(X0),composition(converse(X1),complement(composition(X1,iPr_def_10))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),
inference(theory_normalisation,[status(thm)],[c_21379,c_50,c_49]) ).
tcf(c_21459,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(X0),composition(converse(X1),complement(composition(X1,iPr_def_10))))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_21458,c_1888]) ).
tcf(c_21460,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))),X2))) = join(X0,join(iPr_def_11,join(complement(X1),X2))),
inference(theory_normalisation,[status(thm)],[c_21358,c_50,c_49]) ).
tcf(c_21464,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))),join(complement(join(X0,join(iPr_def_11,complement(X1)))),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_21355,c_50,c_49]) ).
tcf(c_21465,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))))),
inference(theory_normalisation,[status(thm)],[c_21333,c_50,c_49]) ).
tcf(c_21466,plain,
! [X0: $i] : join(iPr_def_11,join(complement(X0),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))) = join(iPr_def_11,complement(X0)),
inference(light_normalisation,[status(thm)],[c_21465,c_1888]) ).
tcf(c_21467,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(iPr_def_11,join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X1))))))))))) = join(X0,join(iPr_def_11,complement(join(iPr_def_11,X1)))),
inference(theory_normalisation,[status(thm)],[c_21347,c_50,c_49]) ).
tcf(c_21468,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(X1,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(X1))),complement(join(iPr_def_11,complement(X1)))))))))) = join(X0,join(iPr_def_11,complement(X1))),
inference(theory_normalisation,[status(thm)],[c_21345,c_50,c_49]) ).
tcf(c_21469,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(X1)))))),complement(join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_21354,c_50,c_49]) ).
tcf(c_21470,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,join(complement(X1),complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))))))))) = join(iPr_def_11,complement(join(X0,join(iPr_def_11,complement(X1))))),
inference(theory_normalisation,[status(thm)],[c_21369,c_50,c_49]) ).
tcf(c_21499,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_107,c_385]) ).
tcf(c_21502,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,zero))))) = top,
inference(superposition,[status(thm)],[c_1431,c_385]) ).
tcf(c_21503,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_225,c_385]) ).
tcf(c_21504,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_226,c_385]) ).
tcf(c_21505,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_2357,c_385]) ).
tcf(c_21506,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_2354,c_385]) ).
tcf(c_21507,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_52,c_385]) ).
tcf(c_21508,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,composition(one,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_53,c_385]) ).
tcf(c_21509,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_57,c_385]) ).
tcf(c_21510,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_116,c_385]) ).
tcf(c_21511,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_193,c_385]) ).
tcf(c_21512,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_9545,c_385]) ).
tcf(c_21513,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_1359,c_385]) ).
tcf(c_21514,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_1360,c_385]) ).
tcf(c_21515,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_381,c_385]) ).
tcf(c_21516,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_382,c_385]) ).
tcf(c_21517,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_383,c_385]) ).
tcf(c_21518,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(iPr_def_12,composition(X1,top))),complement(composition(join(iPr_def_11,X1),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_391,c_385]) ).
tcf(c_21520,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(iPr_def_12,composition(X1,top))),complement(composition(join(X1,iPr_def_11),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_402,c_385]) ).
tcf(c_21521,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(iPr_def_10,composition(X1,top))),complement(composition(join(X1,iPr_def_10),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_401,c_385]) ).
tcf(c_21522,plain,
! [X0: $i] : join(complement(X0),composition(converse(top),complement(composition(top,composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11762,c_385]) ).
tcf(c_21523,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(join(iPr_def_10,X1),composition(top,X2))),complement(composition(join(iPr_def_10,composition(X1,top)),composition(X2,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_445,c_385]) ).
tcf(c_21524,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(iPr_def_10,composition(join(X1,X2),top))),complement(composition(join(X1,join(iPr_def_10,X2)),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9109,c_385]) ).
tcf(c_21525,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(join(iPr_def_10,X1)),composition(complement(join(iPr_def_10,composition(X1,top))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_9562,c_385]) ).
tcf(c_21526,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(one,composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1708,c_385]) ).
tcf(c_21527,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_11779,c_385]) ).
tcf(c_21528,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_11)),complement(composition(join(converse(iPr_def_10),X1),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_16856,c_385]) ).
tcf(c_21529,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(X1,composition(zero,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_8201,c_385]) ).
tcf(c_21530,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(X1,composition(X2,X1))),complement(composition(join(one,X2),composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1767,c_385]) ).
tcf(c_21531,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(X1,composition(X2,X1))),complement(composition(join(X2,one),composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_1782,c_385]) ).
tcf(c_21532,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(zero,composition(X1,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_8217,c_385]) ).
tcf(c_21533,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_8222,c_385]) ).
tcf(c_21534,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_11)),complement(composition(join(X1,converse(iPr_def_10)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_16858,c_385]) ).
tcf(c_21535,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_3196,c_385]) ).
tcf(c_21536,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_12534,c_385]) ).
tcf(c_21537,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_2775,c_385]) ).
tcf(c_21538,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_10)),complement(composition(join(converse(iPr_def_11),X1),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18471,c_385]) ).
tcf(c_21539,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_8221,c_385]) ).
tcf(c_21540,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_10)),complement(composition(join(X1,converse(iPr_def_11)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18473,c_385]) ).
tcf(c_21541,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_12795,c_385]) ).
tcf(c_21542,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_7055,c_385]) ).
tcf(c_21543,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_8911,c_385]) ).
tcf(c_21544,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_13261,c_385]) ).
tcf(c_21545,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_12)),complement(composition(join(converse(iPr_def_10),X1),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20452,c_385]) ).
tcf(c_21546,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_12)),complement(composition(join(X1,converse(iPr_def_10)),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20454,c_385]) ).
tcf(c_21547,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_7459,c_385]) ).
tcf(c_21548,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_12931,c_385]) ).
tcf(c_21549,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_10)),complement(composition(join(converse(iPr_def_12),X1),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20661,c_385]) ).
tcf(c_21550,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_8927,c_385]) ).
tcf(c_21551,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,iPr_def_10)),complement(composition(join(X1,converse(iPr_def_12)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20664,c_385]) ).
tcf(c_21552,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_8919,c_385]) ).
tcf(c_21553,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_8938,c_385]) ).
tcf(c_21554,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_9546,c_385]) ).
tcf(c_21555,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_12),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18563,c_385]) ).
tcf(c_21556,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_10)),complement(composition(converse(iPr_def_10),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_19820,c_385]) ).
tcf(c_21557,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(iPr_def_12,composition(X1,top))),complement(composition(join(iPr_def_12,X1),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11839,c_385]) ).
tcf(c_21558,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_15143,c_385]) ).
tcf(c_21559,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(join(iPr_def_12,composition(X1,top))),complement(composition(join(X1,iPr_def_12),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_11846,c_385]) ).
tcf(c_21560,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(top,composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_19797,c_385]) ).
tcf(c_21561,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_11840,c_385]) ).
tcf(c_21562,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_11843,c_385]) ).
tcf(c_21563,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_12194,c_385]) ).
tcf(c_21564,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_11),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18545,c_385]) ).
tcf(c_21565,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_15252,c_385]) ).
tcf(c_21566,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(X1),iPr_def_11)),complement(composition(converse(join(iPr_def_10,X1)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_16861,c_385]) ).
tcf(c_21567,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(complement(converse(iPr_def_10)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_16862,c_385]) ).
tcf(c_21568,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_17551,c_385]) ).
tcf(c_21569,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_17550,c_385]) ).
tcf(c_21570,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_16909,c_385]) ).
tcf(c_21571,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_16908,c_385]) ).
tcf(c_21572,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_16918,c_385]) ).
tcf(c_21573,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_16923,c_385]) ).
tcf(c_21574,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_16989,c_385]) ).
tcf(c_21575,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_17002,c_385]) ).
tcf(c_21576,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_10)),complement(composition(converse(iPr_def_10),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_19078,c_385]) ).
tcf(c_21577,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_17014,c_385]) ).
tcf(c_21578,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(complement(iPr_def_12),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17023,c_385]) ).
tcf(c_21579,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_17025,c_385]) ).
tcf(c_21580,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,composition(converse(iPr_def_11),X1))),complement(composition(iPr_def_10,composition(composition(converse(iPr_def_12),X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17451,c_385]) ).
tcf(c_21581,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(X1),iPr_def_11)),complement(composition(converse(join(X1,iPr_def_10)),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17287,c_385]) ).
tcf(c_21582,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_11),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17362,c_385]) ).
tcf(c_21583,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_12),composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17360,c_385]) ).
tcf(c_21584,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_17470,c_385]) ).
tcf(c_21585,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(iPr_def_10,composition(converse(complement(iPr_def_12)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17508,c_385]) ).
tcf(c_21586,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(composition(X1,iPr_def_10))),complement(composition(top,composition(converse(composition(X1,iPr_def_10)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17604,c_385]) ).
tcf(c_21587,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,join(X2,one)),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17745,c_385]) ).
tcf(c_21588,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(composition(X1,iPr_def_12))),complement(composition(top,composition(converse(composition(X1,iPr_def_12)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17788,c_385]) ).
tcf(c_21589,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(iPr_def_12,composition(complement(composition(top,iPr_def_11)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_19198,c_385]) ).
tcf(c_21590,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_11),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20581,c_385]) ).
tcf(c_21591,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(iPr_def_11,composition(complement(composition(top,iPr_def_11)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18560,c_385]) ).
tcf(c_21592,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(top,composition(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18222,c_385]) ).
tcf(c_21593,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(iPr_def_10,composition(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18823,c_385]) ).
tcf(c_21594,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(X1),iPr_def_10)),complement(composition(converse(join(iPr_def_11,X1)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18476,c_385]) ).
tcf(c_21595,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_10)),complement(composition(complement(converse(iPr_def_11)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18477,c_385]) ).
tcf(c_21596,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(X1),iPr_def_10)),complement(composition(converse(join(X1,iPr_def_11)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_18951,c_385]) ).
tcf(c_21597,plain,
! [X0: $i] : join(complement(X0),composition(converse(zero),complement(composition(iPr_def_10,composition(complement(composition(top,iPr_def_10)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_19836,c_385]) ).
tcf(c_21598,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(top,composition(iPr_def_11,X1))),complement(composition(top,composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20386,c_385]) ).
tcf(c_21599,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,iPr_def_11)),complement(composition(iPr_def_10,composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_19869,c_385]) ).
tcf(c_21600,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,composition(iPr_def_11,X1))),complement(composition(iPr_def_10,composition(composition(iPr_def_12,X1),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20422,c_385]) ).
tcf(c_21601,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(X1),iPr_def_12)),complement(composition(converse(join(iPr_def_10,X1)),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20457,c_385]) ).
tcf(c_21602,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(X1),iPr_def_12)),complement(composition(converse(join(X1,iPr_def_10)),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20498,c_385]) ).
tcf(c_21603,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(converse(iPr_def_12),composition(iPr_def_12,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20579,c_385]) ).
tcf(c_21604,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_10)),complement(composition(complement(converse(iPr_def_12)),composition(iPr_def_10,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20668,c_385]) ).
tcf(c_21605,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_52,c_385]) ).
tcf(c_21606,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_381,c_385]) ).
tcf(c_21607,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_382,c_385]) ).
tcf(c_21608,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_383,c_385]) ).
tcf(c_21609,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(join(iPr_def_10,composition(X1,top)),X2)),complement(composition(join(iPr_def_10,X1),composition(top,composition(X2,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_445,c_385]) ).
tcf(c_21610,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(one,X1)),complement(composition(X1,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1708,c_385]) ).
tcf(c_21611,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(zero,X1)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_8217,c_385]) ).
tcf(c_21612,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_8222,c_385]) ).
tcf(c_21613,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_12534,c_385]) ).
tcf(c_21614,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_8221,c_385]) ).
tcf(c_21615,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_12795,c_385]) ).
tcf(c_21616,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_8911,c_385]) ).
tcf(c_21617,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_8927,c_385]) ).
tcf(c_21618,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_11840,c_385]) ).
tcf(c_21619,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_15252,c_385]) ).
tcf(c_21620,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_16989,c_385]) ).
tcf(c_21621,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_17014,c_385]) ).
tcf(c_21622,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_12))),complement(composition(iPr_def_10,composition(converse(iPr_def_11),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_17451,c_385]) ).
tcf(c_21623,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_17470,c_385]) ).
tcf(c_21624,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(composition(top,converse(join(iPr_def_10,join(X0,iPr_def_10))))),complement(zero))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_18222,c_385]) ).
tcf(c_21625,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(composition(iPr_def_10,converse(join(iPr_def_10,join(X0,iPr_def_10))))),complement(zero))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_18823,c_385]) ).
tcf(c_21626,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_12)),complement(composition(top,composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20386,c_385]) ).
tcf(c_21627,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,iPr_def_12)),complement(composition(iPr_def_10,composition(iPr_def_11,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_20422,c_385]) ).
tcf(c_21628,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_52,c_385]) ).
tcf(c_21629,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(converse(composition(X0,X1)),complement(composition(X0,X1)))) = complement(one),
inference(superposition,[status(thm)],[c_53,c_385]) ).
tcf(c_21630,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_57,c_385]) ).
tcf(c_21631,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_116,c_385]) ).
tcf(c_21632,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_193,c_385]) ).
tcf(c_21633,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_9545,c_385]) ).
tcf(c_21634,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_1359,c_385]) ).
tcf(c_21635,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_1360,c_385]) ).
tcf(c_21636,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_381,c_385]) ).
tcf(c_21637,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_382,c_385]) ).
tcf(c_21638,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_383,c_385]) ).
tcf(c_21639,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(iPr_def_11,X1))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_391,c_385]) ).
tcf(c_21640,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(iPr_def_10,X1))),complement(composition(X0,join(iPr_def_10,composition(X1,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_392,c_385]) ).
tcf(c_21641,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(X1,iPr_def_11))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_402,c_385]) ).
tcf(c_21642,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(X1,iPr_def_10))),complement(composition(X0,join(iPr_def_10,composition(X1,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_401,c_385]) ).
tcf(c_21643,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,top)),complement(composition(X0,top)))) = complement(top),
inference(superposition,[status(thm)],[c_11762,c_385]) ).
tcf(c_21644,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(X1,join(iPr_def_10,composition(X2,top)))),complement(composition(X1,composition(join(iPr_def_10,X2),composition(top,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_445,c_385]) ).
tcf(c_21645,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(converse(composition(X0,join(X1,join(iPr_def_10,X2)))),complement(composition(X0,join(iPr_def_10,composition(join(X1,X2),top)))))) = complement(top),
inference(superposition,[status(thm)],[c_9109,c_385]) ).
tcf(c_21646,plain,
! [X0: $i,X1: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(composition(X1,converse(join(iPr_def_10,X0)))),complement(composition(X1,zero)))) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_9562,c_385]) ).
tcf(c_21647,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,one)),complement(composition(X1,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1708,c_385]) ).
tcf(c_21648,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_11779,c_385]) ).
tcf(c_21649,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,join(converse(iPr_def_10),X1))),complement(composition(X0,composition(X1,iPr_def_11))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16856,c_385]) ).
tcf(c_21650,plain,
! [X0: $i,X1: $i] : join(complement(zero),composition(converse(composition(X0,X1)),complement(composition(X0,zero)))) = complement(zero),
inference(superposition,[status(thm)],[c_8201,c_385]) ).
tcf(c_21651,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(X1,join(one,X2))),complement(composition(X1,join(X0,composition(X2,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1767,c_385]) ).
tcf(c_21652,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(X1,join(X2,one))),complement(composition(X1,join(X0,composition(X2,X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1782,c_385]) ).
tcf(c_21653,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(X1,zero)),complement(composition(X1,zero)))) = complement(X0),
inference(superposition,[status(thm)],[c_8217,c_385]) ).
tcf(c_21654,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_8222,c_385]) ).
tcf(c_21655,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,join(X1,converse(iPr_def_10)))),complement(composition(X0,composition(X1,iPr_def_11))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16858,c_385]) ).
tcf(c_21656,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_3196,c_385]) ).
tcf(c_21657,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_12534,c_385]) ).
tcf(c_21658,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_2775,c_385]) ).
tcf(c_21659,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,join(converse(iPr_def_11),X1))),complement(composition(X0,composition(X1,iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18471,c_385]) ).
tcf(c_21660,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_8221,c_385]) ).
tcf(c_21661,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,join(X1,converse(iPr_def_11)))),complement(composition(X0,composition(X1,iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18473,c_385]) ).
tcf(c_21662,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_12795,c_385]) ).
tcf(c_21663,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_7055,c_385]) ).
tcf(c_21664,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_8911,c_385]) ).
tcf(c_21665,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_13261,c_385]) ).
tcf(c_21666,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,join(converse(iPr_def_10),X1))),complement(composition(X0,composition(X1,iPr_def_12))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20452,c_385]) ).
tcf(c_21667,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,join(X1,converse(iPr_def_10)))),complement(composition(X0,composition(X1,iPr_def_12))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20454,c_385]) ).
tcf(c_21668,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_7459,c_385]) ).
tcf(c_21669,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_12931,c_385]) ).
tcf(c_21670,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,join(converse(iPr_def_12),X1))),complement(composition(X0,composition(X1,iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_20661,c_385]) ).
tcf(c_21671,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_8927,c_385]) ).
tcf(c_21672,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,join(X1,converse(iPr_def_12)))),complement(composition(X0,composition(X1,iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_20664,c_385]) ).
tcf(c_21673,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_8919,c_385]) ).
tcf(c_21674,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_8938,c_385]) ).
tcf(c_21675,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_9546,c_385]) ).
tcf(c_21676,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,composition(top,iPr_def_11))))) = complement(top),
inference(superposition,[status(thm)],[c_18563,c_385]) ).
tcf(c_21677,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,converse(iPr_def_10))),complement(composition(X0,composition(top,iPr_def_10))))) = complement(top),
inference(superposition,[status(thm)],[c_19820,c_385]) ).
tcf(c_21678,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(iPr_def_12,X1))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_11839,c_385]) ).
tcf(c_21679,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_15143,c_385]) ).
tcf(c_21680,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(composition(X0,join(X1,iPr_def_12))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_11846,c_385]) ).
tcf(c_21681,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,top)),complement(composition(X0,composition(top,iPr_def_11))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_385]) ).
tcf(c_21682,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_11840,c_385]) ).
tcf(c_21683,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_11843,c_385]) ).
tcf(c_21684,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_12194,c_385]) ).
tcf(c_21685,plain,
! [X0: $i] : join(complement(top),composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,composition(top,iPr_def_11))))) = complement(top),
inference(superposition,[status(thm)],[c_18545,c_385]) ).
tcf(c_21686,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_15252,c_385]) ).
tcf(c_21687,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(join(iPr_def_10,X1)))),complement(composition(X0,composition(converse(X1),iPr_def_11))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_385]) ).
tcf(c_21688,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,complement(converse(iPr_def_10)))),complement(composition(X0,composition(top,iPr_def_11))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_16862,c_385]) ).
tcf(c_21689,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_17551,c_385]) ).
tcf(c_21690,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_17550,c_385]) ).
tcf(c_21691,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_16909,c_385]) ).
tcf(c_21692,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_16908,c_385]) ).
tcf(c_21693,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_16918,c_385]) ).
tcf(c_21694,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_16923,c_385]) ).
tcf(c_21695,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_16989,c_385]) ).
tcf(c_21696,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_17002,c_385]) ).
tcf(c_21697,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,converse(iPr_def_10))),complement(composition(X0,composition(top,iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_385]) ).
tcf(c_21698,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_17014,c_385]) ).
tcf(c_21699,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,complement(iPr_def_12))),complement(composition(X0,composition(iPr_def_10,converse(iPr_def_10)))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_385]) ).
tcf(c_21700,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_17025,c_385]) ).
tcf(c_21701,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(iPr_def_12),X0)),composition(converse(composition(X1,iPr_def_10)),complement(composition(X1,composition(iPr_def_10,composition(converse(iPr_def_11),X0)))))) = complement(composition(converse(iPr_def_12),X0)),
inference(superposition,[status(thm)],[c_17451,c_385]) ).
tcf(c_21702,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(join(X1,iPr_def_10)))),complement(composition(X0,composition(converse(X1),iPr_def_11))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_385]) ).
tcf(c_21703,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,composition(top,iPr_def_11))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_385]) ).
tcf(c_21704,plain,
! [X0: $i] : join(complement(iPr_def_11),composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,composition(top,iPr_def_11))))) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_385]) ).
tcf(c_21705,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_17470,c_385]) ).
tcf(c_21706,plain,
! [X0: $i] : join(complement(converse(complement(iPr_def_12))),composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,composition(iPr_def_10,converse(iPr_def_10)))))) = complement(converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_385]) ).
tcf(c_21707,plain,
! [X0: $i,X1: $i] : join(complement(converse(composition(X0,iPr_def_10))),composition(converse(composition(X1,top)),complement(composition(X1,converse(composition(X0,iPr_def_10)))))) = complement(converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_385]) ).
tcf(c_21708,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,join(X2,one)))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_385]) ).
tcf(c_21709,plain,
! [X0: $i,X1: $i] : join(complement(converse(composition(X0,iPr_def_12))),composition(converse(composition(X1,top)),complement(composition(X1,converse(composition(X0,iPr_def_12)))))) = complement(converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_385]) ).
tcf(c_21710,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_11))),composition(converse(composition(X0,iPr_def_12)),complement(composition(X0,zero)))) = complement(complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_19198,c_385]) ).
tcf(c_21711,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,composition(top,iPr_def_11))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_385]) ).
tcf(c_21712,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_11))),composition(converse(composition(X0,iPr_def_11)),complement(composition(X0,zero)))) = complement(complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_385]) ).
tcf(c_21713,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),composition(converse(composition(X1,top)),complement(composition(X1,zero)))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_18222,c_385]) ).
tcf(c_21714,plain,
! [X0: $i,X1: $i] : join(complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),composition(converse(composition(X1,iPr_def_10)),complement(composition(X1,zero)))) = complement(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_18823,c_385]) ).
tcf(c_21715,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,converse(join(iPr_def_11,X1)))),complement(composition(X0,composition(converse(X1),iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_385]) ).
tcf(c_21716,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,complement(converse(iPr_def_11)))),complement(composition(X0,composition(top,iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18477,c_385]) ).
tcf(c_21717,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,converse(join(X1,iPr_def_11)))),complement(composition(X0,composition(converse(X1),iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_385]) ).
tcf(c_21718,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_10))),composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,zero)))) = complement(complement(composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_385]) ).
tcf(c_21719,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(composition(X1,top)),complement(composition(X1,composition(top,composition(iPr_def_11,X0)))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20386,c_385]) ).
tcf(c_21720,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,composition(iPr_def_10,iPr_def_11))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_19869,c_385]) ).
tcf(c_21721,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_12,X0)),composition(converse(composition(X1,iPr_def_10)),complement(composition(X1,composition(iPr_def_10,composition(iPr_def_11,X0)))))) = complement(composition(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_20422,c_385]) ).
tcf(c_21722,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(join(iPr_def_10,X1)))),complement(composition(X0,composition(converse(X1),iPr_def_12))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_385]) ).
tcf(c_21723,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(join(X1,iPr_def_10)))),complement(composition(X0,composition(converse(X1),iPr_def_12))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_385]) ).
tcf(c_21724,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,composition(top,iPr_def_11))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_385]) ).
tcf(c_21725,plain,
! [X0: $i] : join(complement(iPr_def_10),composition(converse(composition(X0,complement(converse(iPr_def_12)))),complement(composition(X0,composition(top,iPr_def_10))))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_20668,c_385]) ).
tcf(c_21726,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),join(composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))),iPr_def_11))),complement(join(iPr_def_11,complement(complement(X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_385,c_376]) ).
tcf(c_21727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))),join(complement(complement(X0)),X3))) = top,
inference(superposition,[status(thm)],[c_385,c_7392]) ).
tcf(c_21729,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_385,c_375]) ).
tcf(c_21733,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_385,c_191]) ).
tcf(c_21734,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,join(iPr_def_11,complement(X2))))))) = join(complement(join(X2,iPr_def_11)),complement(join(iPr_def_11,complement(X2)))),
inference(superposition,[status(thm)],[c_385,c_369]) ).
tcf(c_21739,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,converse(complement(converse(iPr_def_11)))))))) = join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))),
inference(superposition,[status(thm)],[c_385,c_12338]) ).
tcf(c_21740,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(zero,X1)),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21611,c_1431]) ).
tcf(c_21745,plain,
! [X0: $i,X1: $i] : join(top,composition(converse(composition(X0,X1)),top)) = top,
inference(light_normalisation,[status(thm)],[c_21650,c_1431,c_8201]) ).
tcf(c_21746,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_21648,c_107]) ).
tcf(c_21747,plain,
! [X0: $i] : join(zero,composition(composition(top,converse(X0)),complement(composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_21643,c_107,c_2354]) ).
tcf(c_21748,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_21632,c_107]) ).
tcf(c_21749,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_21631,c_107]) ).
tcf(c_21750,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_21618,c_11779]) ).
tcf(c_21753,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_21608,c_193]) ).
tcf(c_21755,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(zero,composition(X1,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21532,c_1950]) ).
tcf(c_21756,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(X1,zero)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21529,c_1950,c_8217]) ).
tcf(c_21763,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_21679,c_107]) ).
tcf(c_21765,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_21663,c_1431,c_8201]) ).
tcf(c_21767,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_21635,c_1431,c_1671,c_8201]) ).
tcf(c_21773,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_21684,c_1431,c_8201]) ).
tcf(c_21774,plain,
! [X0: $i] : join(complement(iPr_def_12),composition(composition(top,converse(X0)),complement(composition(X0,composition(top,iPr_def_11))))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_21681,c_2354]) ).
tcf(c_21775,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_21658,c_1431,c_1671,c_8201]) ).
tcf(c_21776,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,iPr_def_11)),complement(composition(iPr_def_10,composition(iPr_def_11,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21627,c_19869]) ).
tcf(c_21777,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(top,composition(iPr_def_11,X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21626,c_19797]) ).
tcf(c_21778,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_21623,c_16918]) ).
tcf(c_21779,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_21621,c_16909]) ).
tcf(c_21790,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,composition(top,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21704,c_1671]) ).
tcf(c_21791,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,composition(top,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21703,c_1671]) ).
tcf(c_21793,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_21693,c_2354]) ).
tcf(c_21794,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_21692,c_2354]) ).
tcf(c_21795,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_21691,c_2354]) ).
tcf(c_21796,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,converse(iPr_def_11))),complement(composition(X0,composition(top,iPr_def_11))))) = zero,
inference(light_normalisation,[status(thm)],[c_21685,c_107]) ).
tcf(c_21797,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_21683,c_1431,c_8201]) ).
tcf(c_21798,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,converse(iPr_def_10))),complement(composition(X0,composition(top,iPr_def_10))))) = zero,
inference(light_normalisation,[status(thm)],[c_21677,c_107]) ).
tcf(c_21799,plain,
! [X0: $i] : join(zero,composition(converse(composition(X0,converse(iPr_def_12))),complement(composition(X0,composition(top,iPr_def_11))))) = zero,
inference(light_normalisation,[status(thm)],[c_21676,c_107]) ).
tcf(c_21800,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_21674,c_1431,c_8201]) ).
tcf(c_21802,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_21669,c_1431,c_1671,c_8201]) ).
tcf(c_21804,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_21634,c_1431,c_8201]) ).
tcf(c_21805,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_11)),complement(composition(composition(top,iPr_def_11),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21603,c_20706]) ).
tcf(c_21812,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(top,iPr_def_10)),complement(composition(composition(top,iPr_def_10),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21576,c_19217]) ).
tcf(c_21817,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_21553,c_1950]) ).
tcf(c_21818,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_21552,c_1950]) ).
tcf(c_21819,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_21550,c_1950]) ).
tcf(c_21820,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_21548,c_1950]) ).
tcf(c_21821,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_21544,c_1950]) ).
tcf(c_21822,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_21543,c_1950]) ).
tcf(c_21823,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_21539,c_1950]) ).
tcf(c_21824,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_21533,c_1950]) ).
tcf(c_21827,plain,
! [X0: $i] : join(iPr_def_10,composition(converse(composition(X0,complement(converse(iPr_def_10)))),complement(composition(X0,composition(top,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21688,c_1671]) ).
tcf(c_21828,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_21622,c_17002]) ).
tcf(c_21831,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_21579,c_17624]) ).
tcf(c_21834,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_21554,c_1950]) ).
tcf(c_21835,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_21541,c_1950]) ).
tcf(c_21836,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_21536,c_1950]) ).
tcf(c_21837,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_21512,c_1950]) ).
tcf(c_21838,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_21729,c_50,c_49]) ).
tcf(c_21839,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_21838,c_7732]) ).
tcf(c_21840,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_21839,c_50,c_49]) ).
tcf(c_21842,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_21694,c_2354]) ).
tcf(c_21847,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,join(X1,converse(iPr_def_10)))),complement(composition(X0,composition(X1,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21655,c_1671]) ).
tcf(c_21848,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,join(converse(iPr_def_10),X1))),complement(composition(X0,composition(X1,iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21649,c_1671]) ).
tcf(c_21849,plain,
! [X0: $i] : join(complement(X0),composition(converse(composition(iPr_def_10,converse(iPr_def_10))),complement(composition(composition(iPr_def_10,converse(iPr_def_10)),X0)))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21585,c_17586]) ).
tcf(c_21850,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_21578,c_17622]) ).
tcf(c_21851,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_10))),composition(converse(composition(X0,iPr_def_10)),top)) = complement(complement(composition(top,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_21718,c_1431,c_8201]) ).
tcf(c_21854,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_11))),composition(converse(composition(X0,iPr_def_11)),top)) = complement(complement(composition(top,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_21712,c_1431,c_8201]) ).
tcf(c_21855,plain,
! [X0: $i] : join(complement(complement(composition(top,iPr_def_11))),composition(converse(composition(X0,iPr_def_12)),top)) = complement(complement(composition(top,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_21710,c_1431,c_8201]) ).
tcf(c_21856,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(join(X1,iPr_def_10)))),complement(composition(X0,composition(converse(X1),iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21702,c_1671]) ).
tcf(c_21857,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(composition(X0,converse(join(iPr_def_10,X1)))),complement(composition(X0,composition(converse(X1),iPr_def_11))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_21687,c_1671]) ).
tcf(c_21858,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(X1,iPr_def_12))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_21680,c_107]) ).
tcf(c_21859,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(iPr_def_12,X1))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_21678,c_107]) ).
tcf(c_21860,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(X1,iPr_def_10))),complement(composition(X0,join(iPr_def_10,composition(X1,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_21642,c_107]) ).
tcf(c_21861,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(X1,iPr_def_11))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_21641,c_107]) ).
tcf(c_21862,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(iPr_def_10,X1))),complement(composition(X0,join(iPr_def_10,composition(X1,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_21640,c_107]) ).
tcf(c_21863,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(composition(X0,join(iPr_def_11,X1))),complement(composition(X0,join(iPr_def_12,composition(X1,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_21639,c_107]) ).
tcf(c_21864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(complement(complement(X0)),join(X1,composition(converse(composition(X2,X3)),complement(composition(X2,composition(X3,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21727,c_50,c_49]) ).
tcf(c_21865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X0,join(X1,composition(converse(composition(X2,X3)),complement(composition(X2,composition(X3,X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_21864,c_7732]) ).
tcf(c_21866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(complement(X0),composition(converse(composition(X2,X3)),complement(composition(X2,composition(X3,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21865,c_50,c_49]) ).
tcf(c_21867,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(join(iPr_def_10,X1)),composition(complement(join(iPr_def_10,composition(X1,top))),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21525,c_1950]) ).
tcf(c_21868,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,converse(complement(converse(iPr_def_11)))))))) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21739,c_12393]) ).
tcf(c_21869,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(converse(composition(X0,join(X1,join(iPr_def_10,X2)))),complement(composition(X0,join(iPr_def_10,composition(join(X1,X2),top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_21645,c_107]) ).
tcf(c_21870,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(complement(X0)))),complement(join(iPr_def_11,join(complement(X0),composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_21726,c_50,c_49]) ).
tcf(c_21872,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(iPr_def_10,composition(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21593,c_1950]) ).
tcf(c_21873,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(top,composition(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_21592,c_1950]) ).
tcf(c_21874,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(composition(iPr_def_10,converse(join(iPr_def_10,join(X0,iPr_def_10))))),top)) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(light_normalisation,[status(thm)],[c_21625,c_1431]) ).
tcf(c_21875,plain,
! [X0: $i] : join(complement(complement(join(iPr_def_10,composition(X0,top)))),composition(converse(composition(top,converse(join(iPr_def_10,join(X0,iPr_def_10))))),top)) = complement(complement(join(iPr_def_10,composition(X0,top)))),
inference(light_normalisation,[status(thm)],[c_21624,c_1431]) ).
tcf(c_21910,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,converse(complement(converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_50,c_21139]) ).
tcf(c_21917,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(X1,converse(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_55,c_21139]) ).
tcf(c_21918,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),join(X2,converse(complement(join(converse(X1),X0))))) = top,
inference(superposition,[status(thm)],[c_985,c_21139]) ).
tcf(c_21919,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(X0),X1),join(X2,converse(complement(join(X0,converse(X1)))))) = top,
inference(superposition,[status(thm)],[c_221,c_21139]) ).
tcf(c_21920,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),join(X2,converse(complement(join(X1,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_765,c_21139]) ).
tcf(c_21921,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,converse(X1)),join(X2,converse(complement(join(converse(X0),X1))))) = top,
inference(superposition,[status(thm)],[c_222,c_21139]) ).
tcf(c_21922,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),join(X2,converse(complement(composition(X1,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_225,c_21139]) ).
tcf(c_21923,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),join(X2,converse(complement(composition(converse(X1),X0))))) = top,
inference(superposition,[status(thm)],[c_226,c_21139]) ).
tcf(c_21924,plain,
! [X0: $i] : join(top,join(X0,converse(complement(top)))) = top,
inference(superposition,[status(thm)],[c_2343,c_21139]) ).
tcf(c_21925,plain,
! [X0: $i] : join(zero,join(X0,converse(complement(zero)))) = top,
inference(superposition,[status(thm)],[c_1950,c_21139]) ).
tcf(c_21927,plain,
! [X0: $i,X1: $i] : join(join(one,X0),join(X1,converse(complement(join(one,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_1723,c_21139]) ).
tcf(c_21928,plain,
! [X0: $i,X1: $i] : join(join(X0,one),join(X1,converse(complement(join(one,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_1729,c_21139]) ).
tcf(c_21929,plain,
! [X0: $i,X1: $i] : join(composition(top,X0),join(X1,converse(complement(composition(converse(X0),top))))) = top,
inference(superposition,[status(thm)],[c_2357,c_21139]) ).
tcf(c_21930,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(X1,converse(complement(composition(top,converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_2354,c_21139]) ).
tcf(c_21931,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(X0,top)),join(X1,converse(complement(composition(top,converse(join(iPr_def_10,X0))))))) = top,
inference(superposition,[status(thm)],[c_16911,c_21139]) ).
tcf(c_21932,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(X1,converse(complement(converse(X0)))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_21139,c_376]) ).
tcf(c_21933,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,converse(complement(converse(X0)))),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_21139,c_7392]) ).
tcf(c_21936,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,converse(complement(converse(X0)))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_21139,c_50]) ).
tcf(c_21939,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,converse(complement(converse(join(X0,X1))))))) = top,
inference(superposition,[status(thm)],[c_21139,c_50]) ).
tcf(c_21941,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,converse(complement(converse(X0)))))) = join(X1,top),
inference(superposition,[status(thm)],[c_21139,c_191]) ).
tcf(c_21942,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(X1))))) = top,
inference(superposition,[status(thm)],[c_21139,c_191]) ).
tcf(c_21943,plain,
! [X0: $i] : join(X0,converse(complement(converse(zero)))) = top,
inference(superposition,[status(thm)],[c_21139,c_1336]) ).
tcf(c_21944,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(iPr_def_11))))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_21139,c_18476]) ).
tcf(c_21950,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,converse(complement(converse(iPr_def_11)))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_21139,c_11158]) ).
tcf(c_21952,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(iPr_def_11)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21139,c_391]) ).
tcf(c_21955,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,converse(complement(converse(converse(X0))))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_21139,c_776]) ).
tcf(c_21957,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,converse(complement(converse(converse(X0))))))) = converse(top),
inference(superposition,[status(thm)],[c_21139,c_221]) ).
tcf(c_21958,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,converse(complement(converse(composition(converse(X2),complement(composition(X2,X0)))))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_21139,c_362]) ).
tcf(c_21959,plain,
! [X0: $i] : join(complement(X0),converse(complement(converse(complement(X0))))) = top,
inference(superposition,[status(thm)],[c_21139,c_362]) ).
tcf(c_21960,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,converse(complement(converse(iPr_def_10))))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_21139,c_9109]) ).
tcf(c_21961,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(complement(join(iPr_def_11,complement(X1)))))))) = join(complement(join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_21139,c_369]) ).
tcf(c_21962,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(iPr_def_10))))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_21139,c_20457]) ).
tcf(c_21963,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,converse(complement(converse(iPr_def_10)))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_21139,c_18626]) ).
tcf(c_21964,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(iPr_def_10))))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_21139,c_16861]) ).
tcf(c_21965,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,converse(complement(converse(iPr_def_10)))),top)))) = zero,
inference(superposition,[status(thm)],[c_21139,c_9562]) ).
tcf(c_21966,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(iPr_def_10)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21139,c_392]) ).
tcf(c_21967,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(complement(join(X0,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_21139,c_369]) ).
tcf(c_21971,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,converse(complement(converse(composition(converse(X1),complement(composition(X1,iPr_def_10)))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_21139,c_434]) ).
tcf(c_21973,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(X0)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21139,c_9109]) ).
tcf(c_21974,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(converse(iPr_def_10))))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_21139,c_20452]) ).
tcf(c_21975,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(converse(iPr_def_10))))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_21139,c_16856]) ).
tcf(c_21980,plain,
! [X0: $i] : join(one,converse(join(X0,converse(complement(converse(one)))))) = converse(top),
inference(superposition,[status(thm)],[c_21139,c_1723]) ).
tcf(c_21981,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,converse(complement(converse(one)))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_21139,c_1767]) ).
tcf(c_21984,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(converse(iPr_def_11))))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_21139,c_18471]) ).
tcf(c_21985,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(iPr_def_12)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21139,c_11839]) ).
tcf(c_21987,plain,
! [X0: $i] : join(iPr_def_11,join(X0,converse(complement(converse(iPr_def_12))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_21139,c_3214]) ).
tcf(c_21989,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(converse(iPr_def_12))))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_21139,c_20661]) ).
tcf(c_21999,plain,
! [X0: $i] : join(iPr_def_11,join(X0,converse(complement(converse(complement(converse(complement(converse(iPr_def_11))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_21139,c_12338]) ).
tcf(c_22004,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(composition(complement(join(iPr_def_11,X1)),top))))),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_21139,c_16170]) ).
tcf(c_22005,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(composition(complement(join(iPr_def_11,X1)),top)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_21139,c_13393]) ).
tcf(c_22015,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(converse(iPr_def_10))))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21974,c_19797]) ).
tcf(c_22016,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,converse(complement(X0))))) = top,
inference(light_normalisation,[status(thm)],[c_21957,c_55,c_2343]) ).
tcf(c_22020,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(iPr_def_12)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_21985,c_11762]) ).
tcf(c_22021,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,converse(complement(one))),X0)) = composition(top,X0),
inference(light_normalisation,[status(thm)],[c_21981,c_1689]) ).
tcf(c_22024,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(iPr_def_10))))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21964,c_2343]) ).
tcf(c_22025,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(iPr_def_10))))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_21962,c_2343,c_19797]) ).
tcf(c_22026,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(iPr_def_11)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_21952,c_11762]) ).
tcf(c_22027,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(iPr_def_11))))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_21944,c_2343]) ).
tcf(c_22028,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(converse(complement(converse(X0))),X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_21936,c_50,c_49]) ).
tcf(c_22029,plain,
! [X0: $i,X1: $i] : join(X0,join(one,join(X1,converse(complement(join(one,converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21928,c_50,c_49]) ).
tcf(c_22030,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,converse(complement(join(one,converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21927,c_50,c_49]) ).
tcf(c_22031,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(top),join(X2,converse(complement(converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21933,c_50,c_49]) ).
tcf(c_22032,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(zero,join(X2,converse(complement(converse(X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_22031,c_107]) ).
tcf(c_22033,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),join(X2,converse(complement(join(converse(X0),X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_21921,c_50,c_49]) ).
tcf(c_22034,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(converse(X1),join(X2,converse(complement(join(X1,converse(X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21920,c_50,c_49]) ).
tcf(c_22035,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,join(X2,converse(complement(join(X0,converse(X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21919,c_50,c_49]) ).
tcf(c_22036,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(X1,join(X2,converse(complement(join(converse(X1),X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_21918,c_50,c_49]) ).
tcf(c_22038,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,converse(complement(converse(iPr_def_11))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_21950,c_50,c_49]) ).
tcf(c_22040,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,converse(complement(converse(iPr_def_10))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_21960,c_7015,c_11762]) ).
tcf(c_22041,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,top),join(X1,converse(complement(composition(top,converse(join(iPr_def_10,X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_21931,c_50,c_49]) ).
tcf(c_22042,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(complement(join(iPr_def_11,complement(X1)))))))) = join(top,complement(join(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_21961,c_50,c_49]) ).
tcf(c_22043,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,converse(complement(X0))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_21955,c_55]) ).
tcf(c_22044,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(iPr_def_11,converse(complement(converse(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_21932,c_50,c_49]) ).
tcf(c_22045,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(iPr_def_11,converse(complement(converse(X0)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_22044,c_107]) ).
tcf(c_22046,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,converse(complement(converse(composition(converse(X2),complement(composition(X2,X0)))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_21958,c_50,c_49]) ).
tcf(c_22047,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(composition(complement(join(iPr_def_11,X1)),top))))),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_22004,c_11762]) ).
tcf(c_22048,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,converse(complement(converse(iPr_def_10))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_21963,c_50,c_49]) ).
tcf(c_22049,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(X0,join(iPr_def_10,converse(complement(converse(iPr_def_10))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_22048,c_2343]) ).
tcf(c_22090,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(converse(join(X0,converse(X1))))))) = top,
inference(superposition,[status(thm)],[c_56,c_9717]) ).
tcf(c_22091,plain,
! [X0: $i] : join(X0,converse(complement(converse(join(X0,zero))))) = top,
inference(superposition,[status(thm)],[c_1336,c_9717]) ).
tcf(c_22104,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),join(composition(X2,X1),converse(complement(converse(composition(join(X0,X2),X1)))))) = top,
inference(superposition,[status(thm)],[c_54,c_9717]) ).
tcf(c_22105,plain,
! [X0: $i,X1: $i] : join(converse(X0),join(converse(X1),converse(complement(converse(converse(join(X0,X1))))))) = top,
inference(superposition,[status(thm)],[c_56,c_9717]) ).
tcf(c_22106,plain,
! [X0: $i] : join(X0,join(complement(X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_59,c_9717]) ).
tcf(c_22107,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),converse(complement(converse(complement(X0)))))) = top,
inference(superposition,[status(thm)],[c_76,c_9717]) ).
tcf(c_22108,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,X2),converse(complement(converse(join(X1,join(X0,X2))))))) = top,
inference(superposition,[status(thm)],[c_191,c_9717]) ).
tcf(c_22109,plain,
! [X0: $i] : join(zero,join(X0,converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_1336,c_9717]) ).
tcf(c_22110,plain,
join(iPr_def_10,join(iPr_def_11,converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_209,c_9717]) ).
tcf(c_22111,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_349,c_9717]) ).
tcf(c_22112,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),converse(complement(converse(complement(X0)))))) = top,
inference(superposition,[status(thm)],[c_350,c_9717]) ).
tcf(c_22113,plain,
! [X0: $i] : join(complement(one),join(composition(converse(X0),complement(X0)),converse(complement(converse(complement(one)))))) = top,
inference(superposition,[status(thm)],[c_351,c_9717]) ).
tcf(c_22114,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(join(X0,X1))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_375,c_9717]) ).
tcf(c_22115,plain,
! [X0: $i,X1: $i] : join(X0,join(join(complement(X0),X1),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7124,c_9717]) ).
tcf(c_22116,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(join(composition(converse(X1),complement(composition(X1,X0))),X2),converse(complement(converse(join(complement(X0),X2)))))) = top,
inference(superposition,[status(thm)],[c_362,c_9717]) ).
tcf(c_22117,plain,
! [X0: $i] : join(top,join(X0,converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7096,c_9717]) ).
tcf(c_22118,plain,
! [X0: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7123,c_9717]) ).
tcf(c_22119,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(join(complement(join(iPr_def_11,complement(X0))),X1),converse(complement(converse(join(iPr_def_10,X1)))))) = top,
inference(superposition,[status(thm)],[c_369,c_9717]) ).
tcf(c_22120,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,iPr_def_11))),join(complement(join(iPr_def_11,complement(join(X0,X1)))),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_376,c_9717]) ).
tcf(c_22121,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))),converse(complement(converse(complement(X0)))))) = top,
inference(superposition,[status(thm)],[c_385,c_9717]) ).
tcf(c_22122,plain,
! [X0: $i] : join(X0,join(top,converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7015,c_9717]) ).
tcf(c_22124,plain,
! [X0: $i] : join(complement(composition(top,X0)),join(composition(converse(iPr_def_10),complement(composition(iPr_def_10,X0))),converse(complement(converse(complement(composition(top,X0))))))) = top,
inference(superposition,[status(thm)],[c_428,c_9717]) ).
tcf(c_22125,plain,
! [X0: $i] : join(iPr_def_11,join(composition(X0,complement(composition(converse(X0),iPr_def_10))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_432,c_9717]) ).
tcf(c_22126,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_433,c_9717]) ).
tcf(c_22127,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1),converse(complement(converse(join(iPr_def_11,X1)))))) = top,
inference(superposition,[status(thm)],[c_434,c_9717]) ).
tcf(c_22128,plain,
join(iPr_def_10,join(iPr_def_12,converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_11774,c_9717]) ).
tcf(c_22129,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7122,c_9717]) ).
tcf(c_22130,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_11)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7305,c_9717]) ).
tcf(c_22131,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,join(iPr_def_11,X1)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7698,c_9717]) ).
tcf(c_22132,plain,
! [X0: $i] : join(X0,join(converse(complement(converse(X0))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_2345,c_9717]) ).
tcf(c_22133,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_776,c_9717]) ).
tcf(c_22135,plain,
! [X0: $i,X1: $i] : join(X0,join(join(converse(complement(converse(X0))),X1),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_21130,c_9717]) ).
tcf(c_22136,plain,
join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_12326,c_9717]) ).
tcf(c_22137,plain,
! [X0: $i] : join(X0,join(X0,converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_7769,c_9717]) ).
tcf(c_22138,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_1679,c_9717]) ).
tcf(c_22139,plain,
! [X0: $i] : join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,iPr_def_11))),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_1680,c_9717]) ).
tcf(c_22140,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(X1,X0),converse(complement(converse(composition(join(X1,one),X0)))))) = top,
inference(superposition,[status(thm)],[c_1782,c_9717]) ).
tcf(c_22141,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(X1,X0),converse(complement(converse(composition(join(one,X1),X0)))))) = top,
inference(superposition,[status(thm)],[c_1767,c_9717]) ).
tcf(c_22142,plain,
join(one,join(converse(complement(one)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_9159,c_9717]) ).
tcf(c_22143,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),converse(complement(converse(join(iPr_def_11,complement(X0))))))) = top,
inference(superposition,[status(thm)],[c_1888,c_9717]) ).
tcf(c_22144,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_11),converse(complement(converse(join(X0,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_2326,c_9717]) ).
tcf(c_22145,plain,
! [X0: $i] : join(complement(X0),join(composition(top,complement(composition(top,X0))),converse(complement(converse(complement(X0)))))) = top,
inference(superposition,[status(thm)],[c_2356,c_9717]) ).
tcf(c_22146,plain,
join(iPr_def_11,join(iPr_def_12,converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_3207,c_9717]) ).
tcf(c_22147,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),converse(complement(converse(join(iPr_def_11,X0)))))) = top,
inference(superposition,[status(thm)],[c_3214,c_9717]) ).
tcf(c_22148,plain,
join(iPr_def_10,join(complement(iPr_def_12),converse(complement(converse(complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_13163,c_9717]) ).
tcf(c_22149,plain,
join(iPr_def_11,join(complement(iPr_def_12),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_4192,c_9717]) ).
tcf(c_22150,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),converse(complement(converse(join(iPr_def_11,X0)))))) = top,
inference(superposition,[status(thm)],[c_4183,c_9717]) ).
tcf(c_22151,plain,
! [X0: $i] : join(iPr_def_11,join(join(complement(iPr_def_12),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_13559,c_9717]) ).
tcf(c_22152,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,complement(X0)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7426,c_9717]) ).
tcf(c_22153,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,join(complement(join(X0,X1)),X2)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7392,c_9717]) ).
tcf(c_22154,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),converse(complement(converse(join(iPr_def_11,complement(join(iPr_def_11,X0)))))))) = top,
inference(superposition,[status(thm)],[c_11158,c_9717]) ).
tcf(c_22155,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_11))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7700,c_9717]) ).
tcf(c_22156,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_11,X2))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_7830,c_9717]) ).
tcf(c_22157,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(converse(X1),complement(composition(X1,complement(X0)))),converse(complement(converse(X0))))) = top,
inference(superposition,[status(thm)],[c_7774,c_9717]) ).
tcf(c_22158,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X0,X1),converse(complement(converse(join(X0,X1)))))) = top,
inference(superposition,[status(thm)],[c_7878,c_9717]) ).
tcf(c_22159,plain,
! [X0: $i] : join(iPr_def_11,join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),converse(complement(converse(join(iPr_def_11,X0)))))) = top,
inference(superposition,[status(thm)],[c_10560,c_9717]) ).
tcf(c_22160,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),join(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_8543,c_9717]) ).
tcf(c_22161,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_8588,c_9717]) ).
tcf(c_22162,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),converse(complement(converse(join(X0,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_9023,c_9717]) ).
tcf(c_22163,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),converse(complement(converse(join(X0,join(iPr_def_11,complement(X1)))))))) = top,
inference(superposition,[status(thm)],[c_9035,c_9717]) ).
tcf(c_22164,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,complement(iPr_def_12)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_9125,c_9717]) ).
tcf(c_22165,plain,
! [X0: $i] : join(one,join(join(converse(complement(one)),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_9175,c_9717]) ).
tcf(c_22166,plain,
! [X0: $i] : join(complement(one),join(composition(X0,complement(converse(X0))),converse(complement(converse(complement(one)))))) = top,
inference(superposition,[status(thm)],[c_9621,c_9717]) ).
tcf(c_22167,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,converse(complement(converse(X0)))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_21139,c_9717]) ).
tcf(c_22168,plain,
! [X0: $i] : join(iPr_def_10,join(join(iPr_def_12,X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_11838,c_9717]) ).
tcf(c_22169,plain,
! [X0: $i] : join(X0,join(composition(complement(one),X0),converse(complement(converse(composition(top,X0)))))) = top,
inference(superposition,[status(thm)],[c_11631,c_9717]) ).
tcf(c_22170,plain,
! [X0: $i] : join(X0,join(composition(top,complement(X0)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_11752,c_9717]) ).
tcf(c_22171,plain,
join(iPr_def_10,join(composition(top,iPr_def_11),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_11759,c_9717]) ).
tcf(c_22172,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,iPr_def_12),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_11837,c_9717]) ).
tcf(c_22173,plain,
! [X0: $i] : join(iPr_def_10,join(composition(X0,complement(composition(converse(X0),iPr_def_11))),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_11899,c_9717]) ).
tcf(c_22174,plain,
! [X0: $i] : join(iPr_def_10,join(join(composition(top,iPr_def_11),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_11990,c_9717]) ).
tcf(c_22175,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_12)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_12163,c_9717]) ).
tcf(c_22176,plain,
! [X0: $i] : join(iPr_def_11,join(join(complement(converse(complement(converse(iPr_def_11)))),X0),converse(complement(converse(join(iPr_def_11,X0)))))) = top,
inference(superposition,[status(thm)],[c_12338,c_9717]) ).
tcf(c_22177,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,complement(converse(complement(converse(iPr_def_11))))),converse(complement(converse(join(X0,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_12339,c_9717]) ).
tcf(c_22178,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_12))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_12476,c_9717]) ).
tcf(c_22179,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_12,X2))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_15206,c_9717]) ).
tcf(c_22180,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,join(X2,complement(X0))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_12833,c_9717]) ).
tcf(c_22181,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,join(X1,complement(iPr_def_12))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_13561,c_9717]) ).
tcf(c_22182,plain,
! [X0: $i] : join(iPr_def_10,join(join(complement(iPr_def_12),X0),converse(complement(converse(join(complement(iPr_def_12),X0)))))) = top,
inference(superposition,[status(thm)],[c_13165,c_9717]) ).
tcf(c_22183,plain,
! [X0: $i] : join(iPr_def_10,join(join(X0,complement(iPr_def_12)),converse(complement(converse(join(X0,complement(iPr_def_12))))))) = top,
inference(superposition,[status(thm)],[c_13166,c_9717]) ).
tcf(c_22184,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(X0,iPr_def_11)),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13297,c_9717]) ).
tcf(c_22185,plain,
join(iPr_def_10,join(complement(composition(top,iPr_def_11)),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13295,c_9717]) ).
tcf(c_22186,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13315,c_9717]) ).
tcf(c_22187,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(join(X0,iPr_def_11)),top),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13389,c_9717]) ).
tcf(c_22188,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(iPr_def_11,X1))),top),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13365,c_9717]) ).
tcf(c_22189,plain,
join(iPr_def_10,join(composition(complement(composition(top,iPr_def_11)),top),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13387,c_9717]) ).
tcf(c_22190,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(composition(complement(join(iPr_def_11,X0)),top),X1),converse(complement(converse(join(iPr_def_10,X1)))))) = top,
inference(superposition,[status(thm)],[c_13393,c_9717]) ).
tcf(c_22191,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,composition(complement(join(iPr_def_11,X1)),top)),converse(complement(converse(join(X0,iPr_def_10)))))) = top,
inference(superposition,[status(thm)],[c_13394,c_9717]) ).
tcf(c_22192,plain,
join(complement(iPr_def_12),join(composition(top,iPr_def_11),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_13731,c_9717]) ).
tcf(c_22193,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(composition(complement(join(iPr_def_11,X0)),top),X1),top),converse(complement(converse(join(iPr_def_10,composition(X1,top))))))) = top,
inference(superposition,[status(thm)],[c_16170,c_9717]) ).
tcf(c_22194,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(complement(join(iPr_def_11,X0)),top),converse(complement(converse(complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_13916,c_9717]) ).
tcf(c_22195,plain,
join(iPr_def_11,join(composition(top,complement(iPr_def_12)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_13984,c_9717]) ).
tcf(c_22196,plain,
! [X0: $i] : join(complement(X0),join(composition(top,X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_14135,c_9717]) ).
tcf(c_22197,plain,
join(iPr_def_11,join(composition(top,iPr_def_10),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_14138,c_9717]) ).
tcf(c_22198,plain,
! [X0: $i] : join(iPr_def_11,join(join(composition(top,iPr_def_10),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_14229,c_9717]) ).
tcf(c_22199,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_14347,c_9717]) ).
tcf(c_22200,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_11))),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_14735,c_9717]) ).
tcf(c_22201,plain,
! [X0: $i] : join(complement(iPr_def_12),join(join(composition(top,iPr_def_11),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_15739,c_9717]) ).
tcf(c_22202,plain,
! [X0: $i] : join(iPr_def_11,join(join(composition(top,complement(iPr_def_12)),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_15762,c_9717]) ).
tcf(c_22203,plain,
! [X0: $i] : join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),converse(complement(converse(complement(composition(iPr_def_12,X0))))))) = top,
inference(superposition,[status(thm)],[c_15920,c_9717]) ).
tcf(c_22204,plain,
! [X0: $i] : join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),converse(complement(converse(complement(composition(iPr_def_11,X0))))))) = top,
inference(superposition,[status(thm)],[c_15924,c_9717]) ).
tcf(c_22205,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_12,X0)),top),converse(complement(converse(composition(complement(composition(iPr_def_12,X0)),top)))))) = top,
inference(superposition,[status(thm)],[c_16092,c_9717]) ).
tcf(c_22206,plain,
! [X0: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_11,X0)),top),converse(complement(converse(composition(complement(composition(iPr_def_11,X0)),top)))))) = top,
inference(superposition,[status(thm)],[c_16108,c_9717]) ).
tcf(c_22207,plain,
join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_17003,c_9717]) ).
tcf(c_22208,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_17888,c_9717]) ).
tcf(c_22209,plain,
! [X0: $i] : join(converse(iPr_def_12),join(join(complement(converse(iPr_def_11)),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_18182,c_9717]) ).
tcf(c_22210,plain,
join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_18176,c_9717]) ).
tcf(c_22211,plain,
join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_18518,c_9717]) ).
tcf(c_22212,plain,
! [X0: $i] : join(iPr_def_12,join(join(converse(complement(converse(iPr_def_11))),X0),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_18543,c_9717]) ).
tcf(c_22213,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_18626,c_9717]) ).
tcf(c_22214,plain,
join(iPr_def_11,join(composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))),converse(complement(converse(iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_20759,c_9717]) ).
tcf(c_22215,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,converse(complement(converse(join(X0,X1))))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_9717,c_9717]) ).
tcf(c_22216,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(X1,converse(complement(converse(join(X0,X1))))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9717,c_376]) ).
tcf(c_22217,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,converse(complement(converse(join(X0,X1))))),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_9717,c_7392]) ).
tcf(c_22219,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,converse(complement(converse(join(X0,X1))))),complement(top))) = top,
inference(superposition,[status(thm)],[c_9717,c_375]) ).
tcf(c_22220,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,converse(complement(converse(join(X0,X1))))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_9717,c_50]) ).
tcf(c_22223,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,converse(complement(converse(join(join(X0,X1),X2))))))) = top,
inference(superposition,[status(thm)],[c_9717,c_50]) ).
tcf(c_22225,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,converse(complement(converse(join(X0,X2))))))) = join(X1,top),
inference(superposition,[status(thm)],[c_9717,c_191]) ).
tcf(c_22226,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,converse(complement(converse(join(X1,X0)))))) = top,
inference(superposition,[status(thm)],[c_9717,c_191]) ).
tcf(c_22227,plain,
! [X0: $i] : join(X0,converse(complement(converse(join(zero,X0))))) = top,
inference(superposition,[status(thm)],[c_9717,c_1336]) ).
tcf(c_22228,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(join(iPr_def_11,X0)))))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_9717,c_18476]) ).
tcf(c_22234,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,converse(complement(converse(join(iPr_def_11,X0))))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_9717,c_11158]) ).
tcf(c_22236,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(join(iPr_def_11,X0))))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9717,c_391]) ).
tcf(c_22239,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,converse(complement(converse(join(converse(X0),X1))))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9717,c_776]) ).
tcf(c_22241,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,converse(complement(converse(join(converse(X0),X1))))))) = converse(top),
inference(superposition,[status(thm)],[c_9717,c_221]) ).
tcf(c_22242,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,converse(complement(converse(join(composition(converse(X2),complement(composition(X2,X0))),X1)))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_9717,c_362]) ).
tcf(c_22243,plain,
! [X0: $i,X1: $i] : join(complement(X0),converse(complement(converse(join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))))))) = top,
inference(superposition,[status(thm)],[c_9717,c_362]) ).
tcf(c_22244,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,converse(complement(converse(join(iPr_def_10,X1)))))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_9717,c_9109]) ).
tcf(c_22245,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(join(complement(join(iPr_def_11,complement(X1))),X0)))))) = join(complement(join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_9717,c_369]) ).
tcf(c_22246,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(join(iPr_def_10,X0)))))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_9717,c_20457]) ).
tcf(c_22247,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,converse(complement(converse(join(iPr_def_10,X0))))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9717,c_18626]) ).
tcf(c_22248,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(join(iPr_def_10,X0)))))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_9717,c_16861]) ).
tcf(c_22249,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,converse(complement(converse(join(iPr_def_10,X0))))),top)))) = zero,
inference(superposition,[status(thm)],[c_9717,c_9562]) ).
tcf(c_22250,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(join(iPr_def_10,X0))))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9717,c_392]) ).
tcf(c_22251,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(join(complement(join(X0,iPr_def_11)),complement(join(iPr_def_11,complement(X0)))))))) = top,
inference(superposition,[status(thm)],[c_9717,c_369]) ).
tcf(c_22255,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,converse(complement(converse(join(composition(converse(X1),complement(composition(X1,iPr_def_10))),X0)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_9717,c_434]) ).
tcf(c_22256,plain,
! [X0: $i] : join(iPr_def_11,converse(complement(converse(join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))))))) = top,
inference(superposition,[status(thm)],[c_9717,c_434]) ).
tcf(c_22257,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(join(X0,iPr_def_10))))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9717,c_9109]) ).
tcf(c_22258,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(join(converse(iPr_def_10),X0))))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_9717,c_20452]) ).
tcf(c_22259,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(join(converse(iPr_def_10),X0))))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_9717,c_16856]) ).
tcf(c_22264,plain,
! [X0: $i] : join(one,converse(join(X0,converse(complement(converse(join(one,X0))))))) = converse(top),
inference(superposition,[status(thm)],[c_9717,c_1723]) ).
tcf(c_22265,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,converse(complement(converse(join(one,X1))))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_9717,c_1767]) ).
tcf(c_22268,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(join(converse(iPr_def_11),X0))))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_9717,c_18471]) ).
tcf(c_22269,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(join(iPr_def_12,X0))))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9717,c_11839]) ).
tcf(c_22271,plain,
! [X0: $i] : join(iPr_def_11,join(X0,converse(complement(converse(join(iPr_def_12,X0)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_9717,c_3214]) ).
tcf(c_22272,plain,
join(iPr_def_11,converse(complement(converse(join(iPr_def_11,iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_9717,c_3214]) ).
tcf(c_22273,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(join(converse(iPr_def_12),X0))))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_9717,c_20661]) ).
tcf(c_22279,plain,
! [X0: $i] : join(X0,converse(complement(converse(join(X0,X0))))) = top,
inference(superposition,[status(thm)],[c_9717,c_7878]) ).
tcf(c_22283,plain,
! [X0: $i] : join(iPr_def_11,join(X0,converse(complement(converse(join(complement(converse(complement(converse(iPr_def_11)))),X0)))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_9717,c_12338]) ).
tcf(c_22284,plain,
join(iPr_def_11,converse(complement(converse(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11))))))))) = top,
inference(superposition,[status(thm)],[c_9717,c_12338]) ).
tcf(c_22287,plain,
join(complement(iPr_def_12),converse(complement(converse(join(iPr_def_10,complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_9717,c_13165]) ).
tcf(c_22288,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(join(composition(complement(join(iPr_def_11,X1)),top),X0))))),top)) = join(iPr_def_10,composition(top,top)),
inference(superposition,[status(thm)],[c_9717,c_16170]) ).
tcf(c_22289,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(join(composition(complement(join(iPr_def_11,X1)),top),X0)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9717,c_13393]) ).
tcf(c_22290,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)))))) = top,
inference(superposition,[status(thm)],[c_9717,c_13393]) ).
tcf(c_22300,plain,
join(iPr_def_10,join(iPr_def_12,zero)) = top,
inference(light_normalisation,[status(thm)],[c_22128,c_107,c_1950,c_2343]) ).
tcf(c_22308,plain,
join(complement(iPr_def_12),converse(complement(converse(complement(iPr_def_12))))) = top,
inference(light_normalisation,[status(thm)],[c_22287,c_13163]) ).
tcf(c_22309,plain,
join(iPr_def_11,join(composition(top,iPr_def_10),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22197,c_107,c_1950,c_2343]) ).
tcf(c_22310,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22172,c_50,c_49]) ).
tcf(c_22312,plain,
join(iPr_def_10,join(composition(top,iPr_def_11),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22171,c_107,c_1950,c_2343]) ).
tcf(c_22313,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22168,c_50,c_49]) ).
tcf(c_22315,plain,
join(one,join(converse(complement(one)),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22142,c_107,c_1950,c_2343]) ).
tcf(c_22316,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22129,c_50,c_49]) ).
tcf(c_22318,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22118,c_50,c_49]) ).
tcf(c_22320,plain,
join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22210,c_107,c_1950,c_2343]) ).
tcf(c_22321,plain,
join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22207,c_107,c_1950,c_2343]) ).
tcf(c_22322,plain,
! [X0: $i] : join(complement(X0),join(composition(top,X0),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22196,c_107,c_1950,c_2343]) ).
tcf(c_22325,plain,
join(iPr_def_11,join(composition(top,complement(iPr_def_12)),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22195,c_107,c_1950,c_2343]) ).
tcf(c_22326,plain,
join(complement(iPr_def_12),join(composition(top,iPr_def_11),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22192,c_107,c_1950,c_2343]) ).
tcf(c_22327,plain,
! [X0: $i] : join(X0,join(composition(top,complement(X0)),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22170,c_107,c_1950,c_2343]) ).
tcf(c_22329,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22164,c_50,c_49]) ).
tcf(c_22332,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(X0),converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22152,c_50,c_49]) ).
tcf(c_22335,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22151,c_50,c_49]) ).
tcf(c_22337,plain,
! [X0: $i] : join(X0,join(converse(complement(converse(X0))),zero)) = top,
inference(light_normalisation,[status(thm)],[c_22132,c_107,c_1950,c_2343]) ).
tcf(c_22338,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),join(X1,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22115,c_50,c_49]) ).
tcf(c_22339,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),join(X1,zero))) = top,
inference(light_normalisation,[status(thm)],[c_22338,c_107,c_1950,c_2343]) ).
tcf(c_22340,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,complement(join(X1,converse(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_22090,c_765]) ).
tcf(c_22341,plain,
join(iPr_def_11,converse(complement(converse(join(iPr_def_11,iPr_def_11))))) = top,
inference(light_normalisation,[status(thm)],[c_22284,c_12393]) ).
tcf(c_22342,plain,
! [X0: $i] : join(one,converse(join(X0,converse(complement(join(one,converse(X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_22264,c_1723,c_2343]) ).
tcf(c_22343,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,iPr_def_10),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22198,c_50,c_49]) ).
tcf(c_22345,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22175,c_50,c_49]) ).
tcf(c_22347,plain,
! [X0: $i] : join(iPr_def_10,join(composition(top,iPr_def_11),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22174,c_50,c_49]) ).
tcf(c_22349,plain,
! [X0: $i] : join(one,join(converse(complement(one)),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22165,c_50,c_49]) ).
tcf(c_22351,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,join(X1,converse(complement(converse(join(X0,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22158,c_50,c_49]) ).
tcf(c_22353,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,converse(complement(converse(join(iPr_def_11,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22150,c_50,c_49]) ).
tcf(c_22354,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,converse(complement(converse(join(iPr_def_11,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22147,c_50,c_49]) ).
tcf(c_22355,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,converse(complement(converse(join(X0,iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22144,c_50,c_49]) ).
tcf(c_22356,plain,
join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),complement(converse(complement(converse(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22136,c_50,c_49]) ).
tcf(c_22357,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22131,c_50,c_49]) ).
tcf(c_22358,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_22357,c_107,c_1950,c_2343]) ).
tcf(c_22359,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22130,c_50,c_49]) ).
tcf(c_22362,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(join(converse(iPr_def_10),X0))))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_22258,c_19797]) ).
tcf(c_22363,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,converse(complement(join(converse(X1),X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_22241,c_985,c_2343]) ).
tcf(c_22366,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(top),converse(complement(converse(join(X0,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22219,c_50,c_49]) ).
tcf(c_22367,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,converse(complement(converse(join(X0,X1))))))) = top,
inference(light_normalisation,[status(thm)],[c_22366,c_107]) ).
tcf(c_22368,plain,
! [X0: $i] : join(iPr_def_12,join(converse(complement(converse(iPr_def_11))),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22212,c_50,c_49]) ).
tcf(c_22370,plain,
! [X0: $i] : join(converse(iPr_def_12),join(complement(converse(iPr_def_11)),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22209,c_50,c_49]) ).
tcf(c_22372,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,complement(iPr_def_12)),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22202,c_50,c_49]) ).
tcf(c_22374,plain,
! [X0: $i] : join(complement(iPr_def_12),join(composition(top,iPr_def_11),join(X0,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22201,c_50,c_49]) ).
tcf(c_22376,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),complement(join(X0,join(X1,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_22200,c_50,c_49]) ).
tcf(c_22377,plain,
join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(complement(composition(top,iPr_def_11)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22189,c_50,c_49]) ).
tcf(c_22378,plain,
! [X0: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(complement(join(X0,iPr_def_11)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22187,c_50,c_49]) ).
tcf(c_22379,plain,
! [X0: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(complement(join(iPr_def_11,X0)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22186,c_50,c_49]) ).
tcf(c_22380,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22181,c_50,c_49]) ).
tcf(c_22383,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(complement(X0),converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22180,c_50,c_49]) ).
tcf(c_22386,plain,
! [X0: $i] : join(X0,join(composition(complement(one),X0),converse(complement(composition(converse(X0),top))))) = top,
inference(light_normalisation,[status(thm)],[c_22169,c_2357]) ).
tcf(c_22387,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(converse(complement(converse(X0))),converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22167,c_50,c_49]) ).
tcf(c_22388,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(converse(complement(converse(X0))),zero))) = top,
inference(light_normalisation,[status(thm)],[c_22387,c_107,c_1950,c_2343]) ).
tcf(c_22389,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,converse(complement(converse(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22388,c_50,c_49]) ).
tcf(c_22390,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),join(X1,converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22135,c_50,c_49]) ).
tcf(c_22391,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),join(X1,zero))) = top,
inference(light_normalisation,[status(thm)],[c_22390,c_107,c_1950,c_2343]) ).
tcf(c_22392,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(join(X0,X1)),converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22114,c_50,c_49]) ).
tcf(c_22393,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(join(X0,X1)),zero))) = top,
inference(light_normalisation,[status(thm)],[c_22392,c_107,c_1950,c_2343]) ).
tcf(c_22394,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(join(iPr_def_12,X0))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_22269,c_11762]) ).
tcf(c_22395,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(join(X0,iPr_def_10))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_22257,c_11762]) ).
tcf(c_22397,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(join(iPr_def_10,X0))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_22250,c_11762]) ).
tcf(c_22398,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(join(iPr_def_10,X0)))))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_22248,c_2343]) ).
tcf(c_22399,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(join(iPr_def_10,X0)))))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_22246,c_2343,c_19797]) ).
tcf(c_22400,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,converse(complement(converse(join(iPr_def_11,X0))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_22236,c_11762]) ).
tcf(c_22401,plain,
! [X0: $i] : composition(converse(join(X0,converse(complement(converse(join(iPr_def_11,X0)))))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_22228,c_2343]) ).
tcf(c_22402,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,converse(complement(converse(join(X0,join(X1,X2)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22223,c_50,c_49]) ).
tcf(c_22403,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(converse(complement(converse(join(X0,X1)))),X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_22220,c_50,c_49]) ).
tcf(c_22405,plain,
! [X0: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),converse(complement(converse(join(X0,complement(iPr_def_12)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22183,c_50,c_49]) ).
tcf(c_22406,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_12),join(X0,converse(complement(converse(join(complement(iPr_def_12),X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22182,c_50,c_49]) ).
tcf(c_22407,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,converse(complement(converse(top)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22179,c_50,c_49]) ).
tcf(c_22408,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_22407,c_107,c_1950,c_2343]) ).
tcf(c_22409,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,converse(complement(converse(top)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22178,c_50,c_49]) ).
tcf(c_22411,plain,
! [X0: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(X0,complement(composition(converse(X0),iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_22173,c_50,c_49]) ).
tcf(c_22412,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,converse(complement(converse(top)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22156,c_50,c_49]) ).
tcf(c_22413,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_22412,c_107,c_1950,c_2343]) ).
tcf(c_22414,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,converse(complement(converse(top)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22155,c_50,c_49]) ).
tcf(c_22416,plain,
! [X0: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(converse(X0),complement(composition(X0,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_22139,c_50,c_49]) ).
tcf(c_22417,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(X0,complement(composition(converse(X0),iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_22125,c_50,c_49]) ).
tcf(c_22418,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(converse(X0),complement(composition(X0,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_22111,c_50,c_49]) ).
tcf(c_22419,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,converse(complement(converse(join(X1,join(X0,X2)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22108,c_50,c_49]) ).
tcf(c_22423,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(join(iPr_def_10,complement(join(iPr_def_11,complement(X0)))))))) = top,
inference(light_normalisation,[status(thm)],[c_22251,c_17997]) ).
tcf(c_22424,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(top),join(X2,converse(complement(converse(join(X0,X1)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22217,c_50,c_49]) ).
tcf(c_22425,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(zero,join(X2,converse(complement(converse(join(X0,X1)))))))) = top,
inference(light_normalisation,[status(thm)],[c_22424,c_107]) ).
tcf(c_22426,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(converse(complement(converse(top))),converse(complement(converse(join(X0,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22215,c_50,c_49]) ).
tcf(c_22428,plain,
! [X0: $i] : join(complement(iPr_def_12),join(converse(complement(converse(complement(iPr_def_12)))),composition(complement(join(iPr_def_11,X0)),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22194,c_50,c_49]) ).
tcf(c_22429,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(complement(join(X0,join(iPr_def_11,X1))),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22188,c_50,c_49]) ).
tcf(c_22430,plain,
! [X0: $i,X1: $i] : join(X0,join(converse(complement(converse(X0))),composition(converse(X1),complement(composition(X1,complement(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22157,c_50,c_49]) ).
tcf(c_22431,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(join(X0,X1)),join(X2,converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22153,c_50,c_49]) ).
tcf(c_22432,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(join(X0,X1)),join(X2,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_22431,c_107,c_1950,c_2343]) ).
tcf(c_22433,plain,
! [X0: $i] : join(complement(X0),join(converse(complement(converse(complement(X0)))),composition(top,complement(composition(top,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_22145,c_50,c_49]) ).
tcf(c_22436,plain,
! [X0: $i] : composition(top,complement(join(iPr_def_10,composition(join(X0,converse(complement(converse(join(iPr_def_10,X0))))),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_22249,c_2343]) ).
tcf(c_22438,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,converse(complement(converse(join(iPr_def_11,X0)))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_22234,c_50,c_49]) ).
tcf(c_22439,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,converse(complement(converse(join(iPr_def_11,X0)))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_22438,c_107]) ).
tcf(c_22440,plain,
join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(converse(complement(converse(iPr_def_12))),complement(composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_22214,c_50,c_49]) ).
tcf(c_22441,plain,
join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(converse(complement(converse(iPr_def_11))),complement(composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_22211,c_50,c_49]) ).
tcf(c_22442,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(converse(complement(converse(iPr_def_11)))),converse(complement(converse(join(X0,iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22177,c_50,c_49]) ).
tcf(c_22443,plain,
! [X0: $i] : join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),join(X0,converse(complement(converse(join(iPr_def_11,X0))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22176,c_50,c_49]) ).
tcf(c_22444,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(join(iPr_def_11,X0)))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22159,c_50,c_49]) ).
tcf(c_22445,plain,
! [X0: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_22138,c_50,c_49]) ).
tcf(c_22446,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(converse(complement(converse(complement(X0)))),composition(X1,complement(composition(converse(X1),X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_22112,c_50,c_49]) ).
tcf(c_22447,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(converse(complement(converse(complement(X0)))),composition(converse(X1),complement(composition(X1,X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_22107,c_50,c_49]) ).
tcf(c_22448,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(composition(complement(join(iPr_def_11,X1)),top),converse(complement(converse(join(X0,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22191,c_50,c_49]) ).
tcf(c_22449,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),join(X1,converse(complement(converse(join(iPr_def_10,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22190,c_50,c_49]) ).
tcf(c_22450,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),join(converse(complement(converse(iPr_def_10))),complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22160,c_50,c_49]) ).
tcf(c_22451,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,converse(complement(converse(join(iPr_def_10,X1)))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_22244,c_7015,c_11762]) ).
tcf(c_22452,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(top,composition(converse(X0),complement(composition(X0,composition(top,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22208,c_50,c_49]) ).
tcf(c_22453,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(converse(X0),composition(top,complement(composition(top,composition(X0,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22199,c_50,c_49]) ).
tcf(c_22454,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(composition(converse(X1),complement(composition(X1,iPr_def_10))),converse(complement(converse(join(X0,iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22162,c_50,c_49]) ).
tcf(c_22455,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),join(X1,converse(complement(converse(join(iPr_def_11,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22127,c_50,c_49]) ).
tcf(c_22456,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22126,c_50,c_49]) ).
tcf(c_22457,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(join(complement(join(iPr_def_11,complement(X1))),X0)))))) = join(top,complement(join(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_22245,c_50,c_49]) ).
tcf(c_22458,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,converse(complement(join(converse(X1),X0)))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_22239,c_985]) ).
tcf(c_22459,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(iPr_def_11,converse(complement(converse(join(X0,X1))))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22216,c_50,c_49]) ).
tcf(c_22460,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(iPr_def_11,converse(complement(converse(join(X0,X1))))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_22459,c_107]) ).
tcf(c_22461,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(join(X0,converse(X1)),complement(composition(join(converse(X0),X1),iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_22133,c_50,c_49]) ).
tcf(c_22462,plain,
! [X0: $i,X1: $i] : join(converse(complement(converse(iPr_def_10))),join(complement(join(X0,join(X1,iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22120,c_50,c_49]) ).
tcf(c_22463,plain,
join(converse(complement(converse(iPr_def_10))),iPr_def_10) = top,
inference(light_normalisation,[status(thm)],[c_22462,c_376]) ).
tcf(c_22465,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),join(X1,converse(complement(converse(join(iPr_def_10,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22119,c_50,c_49]) ).
tcf(c_22466,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,converse(complement(converse(join(composition(converse(X2),complement(composition(X2,X0))),X1)))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_22242,c_50,c_49]) ).
tcf(c_22467,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(join(iPr_def_11,complement(X0))))),complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22143,c_50,c_49]) ).
tcf(c_22468,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(converse(complement(converse(complement(X0)))),composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_22121,c_50,c_49]) ).
tcf(c_22469,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),join(X2,converse(complement(converse(join(complement(X0),X2))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22116,c_50,c_49]) ).
tcf(c_22470,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,converse(complement(converse(join(composition(complement(join(iPr_def_11,X1)),top),X0))))),top)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_22288,c_11762]) ).
tcf(c_22471,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(join(iPr_def_10,composition(X0,top))))),composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22193,c_50,c_49]) ).
tcf(c_22472,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(composition(top,converse(join(iPr_def_10,X0))))),composition(join(composition(complement(join(iPr_def_11,X1)),top),X0),top))) = top,
inference(light_normalisation,[status(thm)],[c_22471,c_16911]) ).
tcf(c_22473,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,converse(complement(converse(join(iPr_def_10,X0)))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_22247,c_50,c_49]) ).
tcf(c_22474,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(X0,join(iPr_def_10,converse(complement(converse(join(iPr_def_10,X0)))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_22473,c_2343]) ).
tcf(c_22475,plain,
! [X0: $i] : join(iPr_def_11,join(converse(complement(converse(iPr_def_11))),composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(X0,iPr_def_10),composition(top,iPr_def_10))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22213,c_50,c_49]) ).
tcf(c_22476,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))),converse(complement(converse(join(X0,join(iPr_def_11,complement(X1))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_22163,c_50,c_49]) ).
tcf(c_22501,plain,
converse(composition(zero,top)) = zero,
inference(light_normalisation,[status(thm)],[c_7037,c_7459]) ).
tcf(c_22503,plain,
! [X0: $i] : composition(zero,composition(top,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_7053,c_8217]) ).
tcf(c_22506,plain,
! [X0: $i] : composition(converse(composition(X0,iPr_def_10)),complement(composition(X0,iPr_def_10))) = zero,
inference(demodulation,[status(thm)],[c_21748,c_1336]) ).
tcf(c_22507,plain,
! [X0: $i] : composition(composition(converse(iPr_def_10),X0),complement(composition(converse(X0),iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_226,c_22506]) ).
tcf(c_22508,plain,
composition(composition(converse(iPr_def_10),top),complement(composition(top,iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_2357,c_22506]) ).
tcf(c_22528,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,composition(X1,iPr_def_10))),complement(composition(X0,composition(X1,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_52,c_22506]) ).
tcf(c_22531,plain,
! [X0: $i] : composition(converse(join(iPr_def_10,composition(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_1767,c_22506]) ).
tcf(c_22547,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(X1,iPr_def_10)),composition(complement(composition(X1,iPr_def_10)),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_22506,c_385]) ).
tcf(c_22548,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(composition(X0,iPr_def_10)),composition(complement(composition(X0,iPr_def_10)),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_22506,c_433]) ).
tcf(c_22549,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(X0,iPr_def_10)),X1),complement(composition(X0,iPr_def_10))) = join(zero,composition(X1,complement(composition(X0,iPr_def_10)))),
inference(superposition,[status(thm)],[c_22506,c_54]) ).
tcf(c_22550,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,iPr_def_10)),composition(complement(composition(X0,iPr_def_10)),X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_22506,c_52]) ).
tcf(c_22551,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(X1,iPr_def_10))),complement(composition(X1,iPr_def_10))) = join(composition(X0,complement(composition(X1,iPr_def_10))),zero),
inference(superposition,[status(thm)],[c_22506,c_54]) ).
tcf(c_22552,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(X0,iPr_def_10))),join(composition(converse(converse(composition(X0,iPr_def_10))),complement(zero)),X1)) = join(complement(complement(composition(X0,iPr_def_10))),X1),
inference(superposition,[status(thm)],[c_22506,c_362]) ).
tcf(c_22554,plain,
! [X0: $i] : composition(join(one,converse(composition(X0,iPr_def_10))),complement(composition(X0,iPr_def_10))) = join(complement(composition(X0,iPr_def_10)),zero),
inference(superposition,[status(thm)],[c_22506,c_1767]) ).
tcf(c_22555,plain,
! [X0: $i] : join(complement(complement(composition(X0,iPr_def_10))),composition(converse(converse(composition(X0,iPr_def_10))),complement(zero))) = complement(complement(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_22506,c_76]) ).
tcf(c_22556,plain,
! [X0: $i] : join(complement(complement(composition(X0,iPr_def_10))),composition(composition(X0,iPr_def_10),complement(zero))) = complement(complement(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_22506,c_350]) ).
tcf(c_22557,plain,
! [X0: $i] : composition(converse(complement(composition(X0,iPr_def_10))),composition(X0,iPr_def_10)) = converse(zero),
inference(superposition,[status(thm)],[c_22506,c_226]) ).
tcf(c_22559,plain,
! [X0: $i,X1: $i] : composition(converse(composition(composition(X0,iPr_def_10),X1)),complement(composition(X0,iPr_def_10))) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_22506,c_381]) ).
tcf(c_22560,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(X0,iPr_def_10))),composition(converse(composition(X1,converse(composition(X0,iPr_def_10)))),complement(composition(X1,zero)))) = complement(complement(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_22506,c_385]) ).
tcf(c_22561,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(converse(converse(composition(X0,iPr_def_10))),complement(zero))) = composition(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_22506,c_7774]) ).
tcf(c_22562,plain,
composition(composition(top,iPr_def_10),complement(composition(top,iPr_def_10))) = zero,
inference(light_normalisation,[status(thm)],[c_22508,c_19820]) ).
tcf(c_22563,plain,
! [X0: $i] : composition(converse(complement(composition(X0,iPr_def_10))),composition(X0,iPr_def_10)) = zero,
inference(light_normalisation,[status(thm)],[c_22557,c_1950]) ).
tcf(c_22564,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(composition(composition(X0,iPr_def_10),top),top)) = composition(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_22561,c_1431,c_17847]) ).
tcf(c_22565,plain,
! [X0: $i] : join(complement(complement(composition(X0,iPr_def_10))),composition(composition(X0,iPr_def_10),top)) = complement(complement(composition(X0,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_22556,c_1431]) ).
tcf(c_22566,plain,
! [X0: $i] : composition(join(one,converse(composition(X0,iPr_def_10))),complement(composition(X0,iPr_def_10))) = join(zero,complement(composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_22554,c_50,c_49]) ).
tcf(c_22568,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(composition(X0,iPr_def_10)),composition(complement(composition(X0,iPr_def_10)),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_22548,c_1950]) ).
tcf(c_22569,plain,
! [X0: $i] : join(complement(complement(composition(X0,iPr_def_10))),composition(composition(composition(X0,iPr_def_10),top),top)) = complement(complement(composition(X0,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_22555,c_1431,c_17847]) ).
tcf(c_22570,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(X1,iPr_def_10))),complement(composition(X1,iPr_def_10))) = join(zero,composition(X0,complement(composition(X1,iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_22551,c_50,c_49]) ).
tcf(c_22571,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(X1,iPr_def_10)),composition(complement(composition(X1,iPr_def_10)),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_22547,c_1950]) ).
tcf(c_22572,plain,
! [X0: $i,X1: $i] : join(complement(complement(composition(X0,iPr_def_10))),join(composition(composition(composition(X0,iPr_def_10),top),top),X1)) = join(complement(complement(composition(X0,iPr_def_10))),X1),
inference(light_normalisation,[status(thm)],[c_22552,c_1431,c_17847]) ).
tcf(c_22576,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top)) = join(iPr_def_12,composition(complement(X0),top)),
inference(demodulation,[status(thm)],[c_10188,c_391]) ).
tcf(c_22578,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(complement(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(join(X0,X1)))))))),top)) = join(iPr_def_12,composition(complement(join(X0,X1)),top)),
inference(superposition,[status(thm)],[c_50,c_22576]) ).
tcf(c_22579,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(X0)))))),top)) = join(iPr_def_12,composition(complement(X0),top)),
inference(superposition,[status(thm)],[c_191,c_22576]) ).
tcf(c_22580,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,complement(zero))))),top)) = join(iPr_def_12,composition(complement(zero),top)),
inference(superposition,[status(thm)],[c_1336,c_22576]) ).
tcf(c_22581,plain,
join(iPr_def_12,composition(complement(top),top)) = join(iPr_def_12,composition(complement(iPr_def_10),top)),
inference(superposition,[status(thm)],[c_7123,c_22576]) ).
tcf(c_22582,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,complement(iPr_def_11))))),top)) = join(iPr_def_12,composition(complement(iPr_def_11),top)),
inference(superposition,[status(thm)],[c_7878,c_22576]) ).
tcf(c_22583,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(join(iPr_def_11,X0),join(iPr_def_11,X0))),top)) = join(iPr_def_12,composition(complement(join(iPr_def_11,X0)),top)),
inference(superposition,[status(thm)],[c_10560,c_22576]) ).
tcf(c_22584,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,complement(top)))),top)) = join(iPr_def_12,composition(complement(iPr_def_11),top)),
inference(superposition,[status(thm)],[c_59,c_22576]) ).
tcf(c_22585,plain,
join(iPr_def_12,composition(complement(join(converse(complement(converse(iPr_def_11))),join(iPr_def_11,complement(iPr_def_11)))),top)) = join(iPr_def_12,composition(complement(converse(complement(converse(iPr_def_11)))),top)),
inference(superposition,[status(thm)],[c_12326,c_22576]) ).
tcf(c_22586,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top)) = join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top)),
inference(superposition,[status(thm)],[c_1888,c_22576]) ).
tcf(c_22587,plain,
join(iPr_def_12,composition(complement(join(iPr_def_12,join(iPr_def_11,complement(top)))),top)) = join(iPr_def_12,composition(complement(iPr_def_12),top)),
inference(superposition,[status(thm)],[c_4192,c_22576]) ).
tcf(c_22588,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(join(X0,join(iPr_def_11,X0)),join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))),top)) = join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,X0))),top)),
inference(superposition,[status(thm)],[c_11158,c_22576]) ).
tcf(c_22589,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(join(iPr_def_11,complement(join(iPr_def_11,X0))),join(iPr_def_11,complement(join(iPr_def_11,X0))))),top)) = join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),top)),
inference(superposition,[status(thm)],[c_10560,c_22576]) ).
tcf(c_22590,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(complement(X0),join(iPr_def_11,complement(join(iPr_def_11,X0))))),top)) = join(iPr_def_12,composition(X0,top)),
inference(superposition,[status(thm)],[c_7732,c_22576]) ).
tcf(c_22591,plain,
join(iPr_def_12,composition(complement(join(top,join(iPr_def_11,complement(join(iPr_def_11,zero))))),top)) = join(iPr_def_12,composition(zero,top)),
inference(superposition,[status(thm)],[c_107,c_22576]) ).
tcf(c_22592,plain,
join(iPr_def_12,composition(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))),top)) = join(iPr_def_12,composition(iPr_def_11,top)),
inference(superposition,[status(thm)],[c_192,c_22576]) ).
tcf(c_22593,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10))))),top)) = join(iPr_def_12,composition(iPr_def_10,top)),
inference(superposition,[status(thm)],[c_1671,c_22576]) ).
tcf(c_22594,plain,
join(iPr_def_12,composition(complement(join(zero,join(iPr_def_11,complement(join(iPr_def_11,top))))),top)) = join(iPr_def_12,composition(top,top)),
inference(superposition,[status(thm)],[c_1431,c_22576]) ).
tcf(c_22595,plain,
! [X0: $i] : join(iPr_def_12,join(composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top),converse(complement(converse(join(iPr_def_12,composition(complement(X0),top))))))) = top,
inference(superposition,[status(thm)],[c_22576,c_9717]) ).
tcf(c_22596,plain,
! [X0: $i] : join(complement(join(iPr_def_12,join(composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_12,composition(complement(X0),top)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_22576,c_376]) ).
tcf(c_22597,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top),join(complement(join(iPr_def_12,composition(complement(X0),top))),X1))) = top,
inference(superposition,[status(thm)],[c_22576,c_7392]) ).
tcf(c_22598,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_12,composition(complement(X0),top))) = join(iPr_def_12,composition(complement(X0),top)),
inference(superposition,[status(thm)],[c_22576,c_7878]) ).
tcf(c_22599,plain,
! [X0: $i] : join(iPr_def_12,join(composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top),complement(join(iPr_def_12,composition(complement(X0),top))))) = top,
inference(superposition,[status(thm)],[c_22576,c_375]) ).
tcf(c_22600,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top),X1)) = join(join(iPr_def_12,composition(complement(X0),top)),X1),
inference(superposition,[status(thm)],[c_22576,c_50]) ).
tcf(c_22601,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,composition(complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))),top))) = join(X0,join(iPr_def_12,composition(complement(X1),top))),
inference(superposition,[status(thm)],[c_22576,c_191]) ).
tcf(c_22603,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top),top)) = composition(join(iPr_def_12,composition(complement(X0),top)),top),
inference(superposition,[status(thm)],[c_22576,c_11839]) ).
tcf(c_22604,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,composition(complement(X0),top))) = top,
inference(superposition,[status(thm)],[c_22576,c_11838]) ).
tcf(c_22605,plain,
! [X0: $i] : join(iPr_def_11,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top)) = join(iPr_def_11,join(iPr_def_12,composition(complement(X0),top))),
inference(superposition,[status(thm)],[c_22576,c_3214]) ).
tcf(c_22606,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,composition(complement(X2),top))))) = top,
inference(superposition,[status(thm)],[c_22576,c_15206]) ).
tcf(c_22607,plain,
join(iPr_def_10,join(iPr_def_12,composition(complement(iPr_def_11),top))) = join(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_22576,c_13394]) ).
tcf(c_22608,plain,
join(iPr_def_10,join(iPr_def_12,composition(complement(iPr_def_11),top))) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_22607,c_50,c_49]) ).
tcf(c_22609,plain,
join(iPr_def_10,join(iPr_def_12,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_22608,c_193,c_1671,c_11774]) ).
tcf(c_22610,plain,
join(iPr_def_12,composition(zero,top)) = join(iPr_def_12,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_22581,c_107,c_116,c_192]) ).
tcf(c_22611,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_12,complement(top)))),top)) = join(iPr_def_12,composition(complement(iPr_def_12),top)),
inference(theory_normalisation,[status(thm)],[c_22587,c_50,c_49]) ).
tcf(c_22612,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_12,zero))),top)) = top,
inference(light_normalisation,[status(thm)],[c_22611,c_107,c_10207,c_11774]) ).
tcf(c_22613,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,zero))),top)) = join(iPr_def_12,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_22584,c_107,c_193,c_1671]) ).
tcf(c_22614,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,zero))),top)) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_22613,c_50,c_49]) ).
tcf(c_22615,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,zero))),top)) = top,
inference(light_normalisation,[status(thm)],[c_22614,c_11774]) ).
tcf(c_22616,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))),top)) = join(iPr_def_12,composition(top,top)),
inference(theory_normalisation,[status(thm)],[c_22594,c_50,c_49]) ).
tcf(c_22617,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(zero,complement(join(iPr_def_11,top))))),top)) = join(iPr_def_12,top),
inference(light_normalisation,[status(thm)],[c_22616,c_11762]) ).
tcf(c_22618,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11))))),top)) = join(iPr_def_12,composition(iPr_def_10,top)),
inference(theory_normalisation,[status(thm)],[c_22593,c_50,c_49]) ).
tcf(c_22622,plain,
join(iPr_def_12,composition(complement(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_11))))),top)) = join(iPr_def_12,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_22592,c_116]) ).
tcf(c_22623,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(top,complement(join(iPr_def_11,zero))))),top)) = join(iPr_def_12,composition(zero,top)),
inference(theory_normalisation,[status(thm)],[c_22591,c_50,c_49]) ).
tcf(c_22624,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,zero)))),top)) = join(iPr_def_12,composition(zero,top)),
inference(light_normalisation,[status(thm)],[c_22623,c_2961]) ).
tcf(c_22625,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,iPr_def_10)))),top)) = join(iPr_def_12,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_22582,c_193,c_1671]) ).
tcf(c_22626,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_10,iPr_def_11)))),top)) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_22625,c_50,c_49]) ).
tcf(c_22627,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,zero)),top)) = top,
inference(light_normalisation,[status(thm)],[c_22626,c_107,c_209,c_11774]) ).
tcf(c_22628,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,zero)),top)) = join(iPr_def_12,top),
inference(light_normalisation,[status(thm)],[c_22580,c_1431,c_8024,c_11762]) ).
tcf(c_22629,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,join(complement(X0),complement(join(iPr_def_11,X0))))),top)) = join(iPr_def_12,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_22590,c_50,c_49]) ).
tcf(c_22631,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,join(X0,join(iPr_def_11,X0)))),top)) = join(iPr_def_12,composition(complement(join(iPr_def_11,X0)),top)),
inference(theory_normalisation,[status(thm)],[c_22583,c_50,c_49]) ).
tcf(c_22632,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),top)) = join(iPr_def_12,composition(complement(X0),top)),
inference(light_normalisation,[status(thm)],[c_22579,c_7786]) ).
tcf(c_22633,plain,
! [X0: $i] : join(iPr_def_12,join(complement(join(iPr_def_12,composition(complement(X0),top))),composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22599,c_50,c_49]) ).
tcf(c_22634,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(complement(iPr_def_11),converse(complement(converse(iPr_def_11)))))),top)) = join(iPr_def_12,composition(complement(converse(complement(converse(iPr_def_11)))),top)),
inference(theory_normalisation,[status(thm)],[c_22585,c_50,c_49]) ).
tcf(c_22635,plain,
join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_10,converse(complement(converse(iPr_def_11)))))),top)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_22634,c_1671,c_12352]) ).
tcf(c_22636,plain,
join(iPr_def_12,composition(complement(join(iPr_def_10,join(iPr_def_11,converse(complement(converse(iPr_def_11)))))),top)) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_22635,c_50,c_49]) ).
tcf(c_22637,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top),X1)) = join(iPr_def_12,join(composition(complement(X0),top),X1)),
inference(theory_normalisation,[status(thm)],[c_22600,c_50,c_49]) ).
tcf(c_22638,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(complement(join(iPr_def_12,composition(complement(X0),top))),join(X1,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_22597,c_50,c_49]) ).
tcf(c_22639,plain,
! [X0: $i] : join(iPr_def_12,join(converse(complement(converse(join(iPr_def_12,composition(complement(X0),top))))),composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top))) = top,
inference(theory_normalisation,[status(thm)],[c_22595,c_50,c_49]) ).
tcf(c_22640,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_12,composition(complement(X0),top))))),complement(join(iPr_def_11,join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22596,c_50,c_49]) ).
tcf(c_22641,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_12,composition(complement(X0),top))))),complement(join(iPr_def_11,join(iPr_def_12,composition(complement(X0),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_22640,c_22576]) ).
tcf(c_22642,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(iPr_def_12,composition(complement(X0),top)))),complement(join(iPr_def_11,complement(join(iPr_def_12,composition(complement(X0),top)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22641,c_50,c_49]) ).
tcf(c_22643,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,X0)))))),top)) = join(iPr_def_12,composition(complement(join(iPr_def_11,complement(join(iPr_def_11,X0)))),top)),
inference(theory_normalisation,[status(thm)],[c_22589,c_50,c_49]) ).
tcf(c_22644,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(iPr_def_11,join(iPr_def_11,complement(join(iPr_def_11,X0))))),top)) = join(iPr_def_12,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_22643,c_6405,c_10605,c_10606]) ).
tcf(c_22645,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))))),top)) = join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,X0))),top)),
inference(theory_normalisation,[status(thm)],[c_22588,c_50,c_49]) ).
tcf(c_22646,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,join(X0,join(iPr_def_11,X0))))),top)) = composition(join(iPr_def_11,complement(join(iPr_def_11,X0))),top),
inference(light_normalisation,[status(thm)],[c_22645,c_10560,c_11192]) ).
tcf(c_22647,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(X0)))))))),top)) = join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0)))))),top)),
inference(theory_normalisation,[status(thm)],[c_22586,c_50,c_49]) ).
tcf(c_22648,plain,
! [X0: $i] : join(iPr_def_12,composition(complement(join(X0,join(iPr_def_11,join(iPr_def_11,join(complement(join(iPr_def_11,complement(X0))),complement(join(iPr_def_11,complement(X0)))))))),top)) = join(iPr_def_12,composition(complement(X0),top)),
inference(light_normalisation,[status(thm)],[c_22647,c_22576]) ).
tcf(c_22652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,composition(X2,X3))),composition(X4,X3)) = composition(join(composition(composition(X0,X1),X2),X4),X3),
inference(superposition,[status(thm)],[c_52,c_388]) ).
tcf(c_22653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(converse(composition(X0,X1)),X2),composition(X3,X2)) = composition(join(composition(converse(X1),converse(X0)),X3),X2),
inference(superposition,[status(thm)],[c_381,c_388]) ).
tcf(c_22654,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,X0)) = composition(join(composition(iPr_def_11,top),X1),X0),
inference(superposition,[status(thm)],[c_382,c_388]) ).
tcf(c_22655,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,X0)) = composition(join(composition(iPr_def_10,top),X1),X0),
inference(superposition,[status(thm)],[c_383,c_388]) ).
tcf(c_22656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(iPr_def_10,X0),composition(top,composition(X1,X2))),composition(X3,X2)) = composition(join(composition(join(iPr_def_10,composition(X0,top)),X1),X3),X2),
inference(superposition,[status(thm)],[c_445,c_388]) ).
tcf(c_22657,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(composition(one,X0),X2),X1),
inference(superposition,[status(thm)],[c_1708,c_388]) ).
tcf(c_22658,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(zero,X0),X1),X2) = join(zero,composition(X1,X2)),
inference(superposition,[status(thm)],[c_8217,c_388]) ).
tcf(c_22659,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(iPr_def_10),iPr_def_11),X0),X1) = join(zero,composition(X0,X1)),
inference(superposition,[status(thm)],[c_8222,c_388]) ).
tcf(c_22660,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(iPr_def_11),complement(iPr_def_12)),X0),X1) = join(zero,composition(X0,X1)),
inference(superposition,[status(thm)],[c_12534,c_388]) ).
tcf(c_22661,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(iPr_def_11),iPr_def_10),X0),X1) = join(zero,composition(X0,X1)),
inference(superposition,[status(thm)],[c_8221,c_388]) ).
tcf(c_22662,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(complement(iPr_def_12)),iPr_def_11),X0),X1) = join(zero,composition(X0,X1)),
inference(superposition,[status(thm)],[c_12795,c_388]) ).
tcf(c_22663,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(iPr_def_10),iPr_def_12),X0),X1) = join(zero,composition(X0,X1)),
inference(superposition,[status(thm)],[c_8911,c_388]) ).
tcf(c_22664,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(iPr_def_12),iPr_def_10),X0),X1) = join(zero,composition(X0,X1)),
inference(superposition,[status(thm)],[c_8927,c_388]) ).
tcf(c_22665,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,X0)) = composition(join(composition(iPr_def_12,top),X1),X0),
inference(superposition,[status(thm)],[c_11840,c_388]) ).
tcf(c_22666,plain,
! [X0: $i,X1: $i] : composition(join(composition(complement(iPr_def_12),top),X0),X1) = join(composition(iPr_def_10,X1),composition(X0,X1)),
inference(superposition,[status(thm)],[c_15252,c_388]) ).
tcf(c_22667,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,X0)) = composition(join(composition(top,converse(iPr_def_11)),X1),X0),
inference(superposition,[status(thm)],[c_16989,c_388]) ).
tcf(c_22668,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),X0),composition(X1,X0)) = composition(join(composition(top,converse(iPr_def_10)),X1),X0),
inference(superposition,[status(thm)],[c_17014,c_388]) ).
tcf(c_22669,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,composition(converse(iPr_def_11),X0)),composition(X1,X0)) = composition(join(composition(iPr_def_10,converse(iPr_def_12)),X1),X0),
inference(superposition,[status(thm)],[c_17451,c_388]) ).
tcf(c_22670,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,X0)) = composition(join(composition(top,converse(iPr_def_12)),X1),X0),
inference(superposition,[status(thm)],[c_17470,c_388]) ).
tcf(c_22671,plain,
! [X0: $i,X1: $i] : composition(join(composition(top,converse(join(iPr_def_10,join(X0,iPr_def_10)))),X1),complement(join(iPr_def_10,composition(X0,top)))) = join(zero,composition(X1,complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_18222,c_388]) ).
tcf(c_22672,plain,
! [X0: $i,X1: $i] : composition(join(composition(iPr_def_10,converse(join(iPr_def_10,join(X0,iPr_def_10)))),X1),complement(join(iPr_def_10,composition(X0,top)))) = join(zero,composition(X1,complement(join(iPr_def_10,composition(X0,top))))),
inference(superposition,[status(thm)],[c_18823,c_388]) ).
tcf(c_22673,plain,
! [X0: $i,X1: $i] : join(composition(top,composition(iPr_def_11,X0)),composition(X1,X0)) = composition(join(composition(top,iPr_def_12),X1),X0),
inference(superposition,[status(thm)],[c_20386,c_388]) ).
tcf(c_22674,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,composition(iPr_def_11,X0)),composition(X1,X0)) = composition(join(composition(iPr_def_10,iPr_def_12),X1),X0),
inference(superposition,[status(thm)],[c_20422,c_388]) ).
tcf(c_22675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,composition(X2,X3))),composition(X4,X3)) = composition(join(composition(X0,composition(X1,X2)),X4),X3),
inference(superposition,[status(thm)],[c_52,c_388]) ).
tcf(c_22676,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,one)) = composition(join(composition(X0,X1),X2),one),
inference(superposition,[status(thm)],[c_53,c_388]) ).
tcf(c_22677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(composition(X1,X2))),composition(X3,converse(X1))) = composition(join(composition(X0,converse(X2)),X3),converse(X1)),
inference(superposition,[status(thm)],[c_57,c_388]) ).
tcf(c_22678,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(X1,top)) = composition(join(composition(X0,iPr_def_11),X1),top),
inference(superposition,[status(thm)],[c_116,c_388]) ).
tcf(c_22679,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(X1,top)) = composition(join(composition(X0,iPr_def_10),X1),top),
inference(superposition,[status(thm)],[c_193,c_388]) ).
tcf(c_22680,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(X1)),X2),complement(composition(X1,top))) = join(composition(X0,zero),composition(X2,complement(composition(X1,top)))),
inference(superposition,[status(thm)],[c_9545,c_388]) ).
tcf(c_22681,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),complement(iPr_def_12)) = join(composition(X0,zero),composition(X1,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_1359,c_388]) ).
tcf(c_22682,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),iPr_def_11) = join(composition(X0,zero),composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_1360,c_388]) ).
tcf(c_22683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(converse(composition(X1,X2)),X3)),composition(X4,composition(converse(X1),X3))) = composition(join(composition(X0,converse(X2)),X4),composition(converse(X1),X3)),
inference(superposition,[status(thm)],[c_381,c_388]) ).
tcf(c_22684,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_12,X1)),composition(X2,composition(top,X1))) = composition(join(composition(X0,iPr_def_11),X2),composition(top,X1)),
inference(superposition,[status(thm)],[c_382,c_388]) ).
tcf(c_22685,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_10,X1)),composition(X2,composition(top,X1))) = composition(join(composition(X0,iPr_def_10),X2),composition(top,X1)),
inference(superposition,[status(thm)],[c_383,c_388]) ).
tcf(c_22686,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(iPr_def_12,composition(X1,top))),composition(X2,top)) = composition(join(composition(X0,join(iPr_def_11,X1)),X2),top),
inference(superposition,[status(thm)],[c_391,c_388]) ).
tcf(c_22687,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(iPr_def_10,composition(X1,top))),composition(X2,top)) = composition(join(composition(X0,join(iPr_def_10,X1)),X2),top),
inference(superposition,[status(thm)],[c_392,c_388]) ).
tcf(c_22688,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(iPr_def_12,composition(X1,top))),composition(X2,top)) = composition(join(composition(X0,join(X1,iPr_def_11)),X2),top),
inference(superposition,[status(thm)],[c_402,c_388]) ).
tcf(c_22689,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(iPr_def_10,composition(X1,top))),composition(X2,top)) = composition(join(composition(X0,join(X1,iPr_def_10)),X2),top),
inference(superposition,[status(thm)],[c_401,c_388]) ).
tcf(c_22690,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,top)) = composition(join(composition(X0,top),X1),top),
inference(superposition,[status(thm)],[c_11762,c_388]) ).
tcf(c_22691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(join(iPr_def_10,X1),composition(top,X2))),composition(X3,X2)) = composition(join(composition(X0,join(iPr_def_10,composition(X1,top))),X3),X2),
inference(superposition,[status(thm)],[c_445,c_388]) ).
tcf(c_22692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(iPr_def_10,composition(join(X1,X2),top))),composition(X3,top)) = composition(join(composition(X0,join(X1,join(iPr_def_10,X2))),X3),top),
inference(superposition,[status(thm)],[c_9109,c_388]) ).
tcf(c_22693,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(join(iPr_def_10,X1))),X2),complement(join(iPr_def_10,composition(X1,top)))) = join(composition(X0,zero),composition(X2,complement(join(iPr_def_10,composition(X1,top))))),
inference(superposition,[status(thm)],[c_9562,c_388]) ).
tcf(c_22694,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(composition(X0,one),X2),X1),
inference(superposition,[status(thm)],[c_1708,c_388]) ).
tcf(c_22695,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(X1,top)) = composition(join(composition(X0,iPr_def_12),X1),top),
inference(superposition,[status(thm)],[c_11779,c_388]) ).
tcf(c_22696,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(converse(iPr_def_10),X1)),X2),iPr_def_11) = join(composition(X0,composition(X1,iPr_def_11)),composition(X2,iPr_def_11)),
inference(superposition,[status(thm)],[c_16856,c_388]) ).
tcf(c_22697,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),zero) = join(composition(X0,zero),composition(X2,zero)),
inference(superposition,[status(thm)],[c_8201,c_388]) ).
tcf(c_22698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(X1,composition(X2,X1))),composition(X3,X1)) = composition(join(composition(X0,join(one,X2)),X3),X1),
inference(superposition,[status(thm)],[c_1767,c_388]) ).
tcf(c_22699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(X1,composition(X2,X1))),composition(X3,X1)) = composition(join(composition(X0,join(X2,one)),X3),X1),
inference(superposition,[status(thm)],[c_1782,c_388]) ).
tcf(c_22700,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,zero),composition(X1,X2)) = composition(join(composition(X0,zero),X1),X2),
inference(superposition,[status(thm)],[c_8217,c_388]) ).
tcf(c_22701,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),composition(iPr_def_11,X2)) = join(composition(X0,zero),composition(X1,composition(iPr_def_11,X2))),
inference(superposition,[status(thm)],[c_8222,c_388]) ).
tcf(c_22702,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,converse(iPr_def_10))),X2),iPr_def_11) = join(composition(X0,composition(X1,iPr_def_11)),composition(X2,iPr_def_11)),
inference(superposition,[status(thm)],[c_16858,c_388]) ).
tcf(c_22703,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),iPr_def_10) = join(composition(X0,zero),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_3196,c_388]) ).
tcf(c_22704,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),composition(complement(iPr_def_12),X2)) = join(composition(X0,zero),composition(X1,composition(complement(iPr_def_12),X2))),
inference(superposition,[status(thm)],[c_12534,c_388]) ).
tcf(c_22705,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(complement(iPr_def_12))),X1),iPr_def_11) = join(composition(X0,zero),composition(X1,iPr_def_11)),
inference(superposition,[status(thm)],[c_2775,c_388]) ).
tcf(c_22706,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(converse(iPr_def_11),X1)),X2),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_18471,c_388]) ).
tcf(c_22707,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),composition(iPr_def_10,X2)) = join(composition(X0,zero),composition(X1,composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_8221,c_388]) ).
tcf(c_22708,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,converse(iPr_def_11))),X2),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_18473,c_388]) ).
tcf(c_22709,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(complement(iPr_def_12))),X1),composition(iPr_def_11,X2)) = join(composition(X0,zero),composition(X1,composition(iPr_def_11,X2))),
inference(superposition,[status(thm)],[c_12795,c_388]) ).
tcf(c_22710,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),iPr_def_12) = join(composition(X0,zero),composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_7055,c_388]) ).
tcf(c_22711,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),composition(iPr_def_12,X2)) = join(composition(X0,zero),composition(X1,composition(iPr_def_12,X2))),
inference(superposition,[status(thm)],[c_8911,c_388]) ).
tcf(c_22712,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_11,X1))),X2),iPr_def_10) = join(composition(X0,zero),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_13261,c_388]) ).
tcf(c_22713,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(converse(iPr_def_10),X1)),X2),iPr_def_12) = join(composition(X0,composition(X1,iPr_def_12)),composition(X2,iPr_def_12)),
inference(superposition,[status(thm)],[c_20452,c_388]) ).
tcf(c_22714,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,converse(iPr_def_10))),X2),iPr_def_12) = join(composition(X0,composition(X1,iPr_def_12)),composition(X2,iPr_def_12)),
inference(superposition,[status(thm)],[c_20454,c_388]) ).
tcf(c_22715,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_12)),X1),iPr_def_10) = join(composition(X0,zero),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_7459,c_388]) ).
tcf(c_22716,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_10,X1))),X2),iPr_def_11) = join(composition(X0,zero),composition(X2,iPr_def_11)),
inference(superposition,[status(thm)],[c_12931,c_388]) ).
tcf(c_22717,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(converse(iPr_def_12),X1)),X2),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_20661,c_388]) ).
tcf(c_22718,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_12)),X1),composition(iPr_def_10,X2)) = join(composition(X0,zero),composition(X1,composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_8927,c_388]) ).
tcf(c_22719,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,converse(iPr_def_12))),X2),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_20664,c_388]) ).
tcf(c_22720,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_12,X1))),X2),iPr_def_10) = join(composition(X0,zero),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_8919,c_388]) ).
tcf(c_22721,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_10,X1))),X2),iPr_def_12) = join(composition(X0,zero),composition(X2,iPr_def_12)),
inference(superposition,[status(thm)],[c_8938,c_388]) ).
tcf(c_22722,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),complement(composition(converse(X1),top))) = join(composition(X0,zero),composition(X2,complement(composition(converse(X1),top)))),
inference(superposition,[status(thm)],[c_9546,c_388]) ).
tcf(c_22723,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,top)) = composition(join(composition(X0,converse(iPr_def_12)),X1),top),
inference(superposition,[status(thm)],[c_18563,c_388]) ).
tcf(c_22724,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_10)),composition(X1,top)) = composition(join(composition(X0,converse(iPr_def_10)),X1),top),
inference(superposition,[status(thm)],[c_19820,c_388]) ).
tcf(c_22725,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(iPr_def_12,composition(X1,top))),composition(X2,top)) = composition(join(composition(X0,join(iPr_def_12,X1)),X2),top),
inference(superposition,[status(thm)],[c_11839,c_388]) ).
tcf(c_22726,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,complement(iPr_def_12)),X1),top) = join(composition(X0,iPr_def_10),composition(X1,top)),
inference(superposition,[status(thm)],[c_15143,c_388]) ).
tcf(c_22727,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(iPr_def_12,composition(X1,top))),composition(X2,top)) = composition(join(composition(X0,join(X1,iPr_def_12)),X2),top),
inference(superposition,[status(thm)],[c_11846,c_388]) ).
tcf(c_22728,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,iPr_def_12)) = composition(join(composition(X0,top),X1),iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_388]) ).
tcf(c_22729,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_12,X1)),composition(X2,composition(top,X1))) = composition(join(composition(X0,iPr_def_12),X2),composition(top,X1)),
inference(superposition,[status(thm)],[c_11840,c_388]) ).
tcf(c_22730,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_12)),X1),complement(iPr_def_12)) = join(composition(X0,zero),composition(X1,complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_11843,c_388]) ).
tcf(c_22731,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(complement(iPr_def_12))),X1),iPr_def_12) = join(composition(X0,zero),composition(X1,iPr_def_12)),
inference(superposition,[status(thm)],[c_12194,c_388]) ).
tcf(c_22732,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,top)) = composition(join(composition(X0,converse(iPr_def_11)),X1),top),
inference(superposition,[status(thm)],[c_18545,c_388]) ).
tcf(c_22733,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_10,X1)),composition(X2,composition(top,X1))) = composition(join(composition(X0,complement(iPr_def_12)),X2),composition(top,X1)),
inference(superposition,[status(thm)],[c_15252,c_388]) ).
tcf(c_22734,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(X1),iPr_def_11)),composition(X2,iPr_def_11)) = composition(join(composition(X0,converse(join(iPr_def_10,X1))),X2),iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_388]) ).
tcf(c_22735,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,iPr_def_11)) = composition(join(composition(X0,complement(converse(iPr_def_10))),X1),iPr_def_11),
inference(superposition,[status(thm)],[c_16862,c_388]) ).
tcf(c_22736,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,one)),X2),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17551,c_388]) ).
tcf(c_22737,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(one,X1)),X2),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17550,c_388]) ).
tcf(c_22738,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))) = composition(join(composition(X0,top),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_388]) ).
tcf(c_22739,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_12)),composition(X1,converse(iPr_def_11))) = composition(join(composition(X0,top),X1),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_16908,c_388]) ).
tcf(c_22740,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_12)),composition(X1,converse(iPr_def_12))) = composition(join(composition(X0,top),X1),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_388]) ).
tcf(c_22741,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),composition(X1,converse(complement(iPr_def_12)))) = composition(join(composition(X0,top),X1),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16923,c_388]) ).
tcf(c_22742,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),composition(X2,composition(converse(iPr_def_11),X1))) = composition(join(composition(X0,top),X2),composition(converse(iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_16989,c_388]) ).
tcf(c_22743,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_10,converse(iPr_def_11))),composition(X1,converse(iPr_def_12))) = composition(join(composition(X0,iPr_def_10),X1),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_17002,c_388]) ).
tcf(c_22744,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_10)),composition(X1,iPr_def_10)) = composition(join(composition(X0,converse(iPr_def_10)),X1),iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_388]) ).
tcf(c_22745,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_10),X1)),composition(X2,composition(converse(iPr_def_10),X1))) = composition(join(composition(X0,top),X2),composition(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_17014,c_388]) ).
tcf(c_22746,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_10,converse(iPr_def_10))),composition(X1,converse(iPr_def_10))) = composition(join(composition(X0,complement(iPr_def_12)),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_388]) ).
tcf(c_22747,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_11,converse(iPr_def_10))),composition(X1,converse(iPr_def_10))) = composition(join(composition(X0,iPr_def_12),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17025,c_388]) ).
tcf(c_22748,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_10,composition(converse(iPr_def_11),X1))),composition(X2,composition(converse(iPr_def_12),X1))) = composition(join(composition(X0,iPr_def_10),X2),composition(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_17451,c_388]) ).
tcf(c_22749,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(X1),iPr_def_11)),composition(X2,iPr_def_11)) = composition(join(composition(X0,converse(join(X1,iPr_def_10))),X2),iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_388]) ).
tcf(c_22750,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,iPr_def_11)) = composition(join(composition(X0,converse(iPr_def_11)),X1),iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_388]) ).
tcf(c_22751,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,iPr_def_11)) = composition(join(composition(X0,converse(iPr_def_12)),X1),iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_388]) ).
tcf(c_22752,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),composition(X2,composition(converse(iPr_def_12),X1))) = composition(join(composition(X0,top),X2),composition(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_17470,c_388]) ).
tcf(c_22753,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_10,converse(iPr_def_10))),composition(X1,converse(complement(iPr_def_12)))) = composition(join(composition(X0,iPr_def_10),X1),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_388]) ).
tcf(c_22754,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(composition(X1,iPr_def_10))),composition(X2,converse(composition(X1,iPr_def_10)))) = composition(join(composition(X0,top),X2),converse(composition(X1,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_388]) ).
tcf(c_22755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,join(X1,join(X2,one))),X3),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X3,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17745,c_388]) ).
tcf(c_22756,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(composition(X1,iPr_def_12))),composition(X2,converse(composition(X1,iPr_def_12)))) = composition(join(composition(X0,top),X2),converse(composition(X1,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_388]) ).
tcf(c_22757,plain,
! [X0: $i,X1: $i] : join(composition(X0,zero),composition(X1,complement(composition(top,iPr_def_11)))) = composition(join(composition(X0,iPr_def_12),X1),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_19198,c_388]) ).
tcf(c_22758,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,iPr_def_12)) = composition(join(composition(X0,converse(iPr_def_11)),X1),iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_388]) ).
tcf(c_22759,plain,
! [X0: $i,X1: $i] : join(composition(X0,zero),composition(X1,complement(composition(top,iPr_def_11)))) = composition(join(composition(X0,iPr_def_11),X1),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_388]) ).
tcf(c_22760,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,zero),composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top)))))) = composition(join(composition(X0,top),X1),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))),
inference(superposition,[status(thm)],[c_18222,c_388]) ).
tcf(c_22761,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,zero),composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top)))))) = composition(join(composition(X0,iPr_def_10),X1),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))),
inference(superposition,[status(thm)],[c_18823,c_388]) ).
tcf(c_22762,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(X1),iPr_def_10)),composition(X2,iPr_def_10)) = composition(join(composition(X0,converse(join(iPr_def_11,X1))),X2),iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_388]) ).
tcf(c_22763,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_10)),composition(X1,iPr_def_10)) = composition(join(composition(X0,complement(converse(iPr_def_11))),X1),iPr_def_10),
inference(superposition,[status(thm)],[c_18477,c_388]) ).
tcf(c_22764,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(X1),iPr_def_10)),composition(X2,iPr_def_10)) = composition(join(composition(X0,converse(join(X1,iPr_def_11))),X2),iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_388]) ).
tcf(c_22765,plain,
! [X0: $i,X1: $i] : join(composition(X0,zero),composition(X1,complement(composition(top,iPr_def_10)))) = composition(join(composition(X0,iPr_def_10),X1),complement(composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_388]) ).
tcf(c_22766,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,composition(iPr_def_11,X1))),composition(X2,composition(iPr_def_12,X1))) = composition(join(composition(X0,top),X2),composition(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_20386,c_388]) ).
tcf(c_22767,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(iPr_def_10,iPr_def_11)),composition(X1,iPr_def_12)) = composition(join(composition(X0,iPr_def_10),X1),iPr_def_12),
inference(superposition,[status(thm)],[c_19869,c_388]) ).
tcf(c_22768,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_10,composition(iPr_def_11,X1))),composition(X2,composition(iPr_def_12,X1))) = composition(join(composition(X0,iPr_def_10),X2),composition(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_20422,c_388]) ).
tcf(c_22769,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(X1),iPr_def_12)),composition(X2,iPr_def_12)) = composition(join(composition(X0,converse(join(iPr_def_10,X1))),X2),iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_388]) ).
tcf(c_22770,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(X1),iPr_def_12)),composition(X2,iPr_def_12)) = composition(join(composition(X0,converse(join(X1,iPr_def_10))),X2),iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_388]) ).
tcf(c_22771,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_11)),composition(X1,iPr_def_12)) = composition(join(composition(X0,converse(iPr_def_12)),X1),iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_388]) ).
tcf(c_22772,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(top,iPr_def_10)),composition(X1,iPr_def_10)) = composition(join(composition(X0,complement(converse(iPr_def_12))),X1),iPr_def_10),
inference(superposition,[status(thm)],[c_20668,c_388]) ).
tcf(c_22773,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(X1,iPr_def_10))),X2),complement(composition(X1,iPr_def_10))) = join(composition(X0,zero),composition(X2,complement(composition(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_22506,c_388]) ).
tcf(c_22774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,X2)),composition(X3,composition(X4,X2))) = composition(join(composition(X0,X1),composition(X3,X4)),X2),
inference(superposition,[status(thm)],[c_52,c_388]) ).
tcf(c_22775,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,one)),X2) = composition(join(composition(X0,X1),X2),one),
inference(superposition,[status(thm)],[c_53,c_388]) ).
tcf(c_22776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,converse(X2))),converse(composition(X2,X3))) = composition(join(composition(X0,X1),converse(X3)),converse(X2)),
inference(superposition,[status(thm)],[c_57,c_388]) ).
tcf(c_22777,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,top)),iPr_def_12) = composition(join(composition(X0,X1),iPr_def_11),top),
inference(superposition,[status(thm)],[c_116,c_388]) ).
tcf(c_22778,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,top)),iPr_def_10) = composition(join(composition(X0,X1),iPr_def_10),top),
inference(superposition,[status(thm)],[c_193,c_388]) ).
tcf(c_22779,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(X2)),complement(composition(X2,top))) = join(composition(X0,composition(X1,complement(composition(X2,top)))),zero),
inference(superposition,[status(thm)],[c_9545,c_388]) ).
tcf(c_22780,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(iPr_def_11)),complement(iPr_def_12)) = join(composition(X0,composition(X1,complement(iPr_def_12))),zero),
inference(superposition,[status(thm)],[c_1359,c_388]) ).
tcf(c_22781,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(iPr_def_10)),iPr_def_11) = join(composition(X0,composition(X1,iPr_def_11)),zero),
inference(superposition,[status(thm)],[c_1360,c_388]) ).
tcf(c_22782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,composition(converse(X2),X3))),composition(converse(composition(X2,X4)),X3)) = composition(join(composition(X0,X1),converse(X4)),composition(converse(X2),X3)),
inference(superposition,[status(thm)],[c_381,c_388]) ).
tcf(c_22783,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(top,X2))),composition(iPr_def_12,X2)) = composition(join(composition(X0,X1),iPr_def_11),composition(top,X2)),
inference(superposition,[status(thm)],[c_382,c_388]) ).
tcf(c_22784,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(top,X2))),composition(iPr_def_10,X2)) = composition(join(composition(X0,X1),iPr_def_10),composition(top,X2)),
inference(superposition,[status(thm)],[c_383,c_388]) ).
tcf(c_22787,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,top)),join(iPr_def_12,composition(X2,top))) = composition(join(composition(X0,X1),join(X2,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_402,c_388]) ).
tcf(c_22788,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,top)),join(iPr_def_10,composition(X2,top))) = composition(join(composition(X0,X1),join(X2,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_401,c_388]) ).
tcf(c_22789,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,top)),top) = composition(join(composition(X0,X1),top),top),
inference(superposition,[status(thm)],[c_11762,c_388]) ).
tcf(c_22790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),composition(join(iPr_def_10,X3),composition(top,X2))) = composition(join(composition(X0,X1),join(iPr_def_10,composition(X3,top))),X2),
inference(superposition,[status(thm)],[c_445,c_388]) ).
tcf(c_22791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,top)),join(iPr_def_10,composition(join(X2,X3),top))) = composition(join(composition(X0,X1),join(X2,join(iPr_def_10,X3))),top),
inference(superposition,[status(thm)],[c_9109,c_388]) ).
tcf(c_22792,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(join(iPr_def_10,X2))),complement(join(iPr_def_10,composition(X2,top)))) = join(composition(X0,composition(X1,complement(join(iPr_def_10,composition(X2,top))))),zero),
inference(superposition,[status(thm)],[c_9562,c_388]) ).
tcf(c_22794,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,top)),iPr_def_12) = composition(join(composition(X0,X1),iPr_def_12),top),
inference(superposition,[status(thm)],[c_11779,c_388]) ).
tcf(c_22796,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),zero) = join(composition(X0,composition(X1,zero)),zero),
inference(superposition,[status(thm)],[c_8201,c_388]) ).
tcf(c_22798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),join(X2,composition(X3,X2))) = composition(join(composition(X0,X1),join(X3,one)),X2),
inference(superposition,[status(thm)],[c_1782,c_388]) ).
tcf(c_22799,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,X2)),zero) = composition(join(composition(X0,X1),zero),X2),
inference(superposition,[status(thm)],[c_8217,c_388]) ).
tcf(c_22800,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(iPr_def_10)),composition(iPr_def_11,X2)) = join(composition(X0,composition(X1,composition(iPr_def_11,X2))),zero),
inference(superposition,[status(thm)],[c_8222,c_388]) ).
tcf(c_22801,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,converse(iPr_def_10))),iPr_def_11) = join(composition(X0,composition(X1,iPr_def_11)),composition(X2,iPr_def_11)),
inference(superposition,[status(thm)],[c_16858,c_388]) ).
tcf(c_22802,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(iPr_def_11)),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),zero),
inference(superposition,[status(thm)],[c_3196,c_388]) ).
tcf(c_22803,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(iPr_def_11)),composition(complement(iPr_def_12),X2)) = join(composition(X0,composition(X1,composition(complement(iPr_def_12),X2))),zero),
inference(superposition,[status(thm)],[c_12534,c_388]) ).
tcf(c_22804,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(complement(iPr_def_12))),iPr_def_11) = join(composition(X0,composition(X1,iPr_def_11)),zero),
inference(superposition,[status(thm)],[c_2775,c_388]) ).
tcf(c_22806,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(iPr_def_11)),composition(iPr_def_10,X2)) = join(composition(X0,composition(X1,composition(iPr_def_10,X2))),zero),
inference(superposition,[status(thm)],[c_8221,c_388]) ).
tcf(c_22807,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,converse(iPr_def_11))),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_18473,c_388]) ).
tcf(c_22808,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(complement(iPr_def_12))),composition(iPr_def_11,X2)) = join(composition(X0,composition(X1,composition(iPr_def_11,X2))),zero),
inference(superposition,[status(thm)],[c_12795,c_388]) ).
tcf(c_22809,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(iPr_def_10)),iPr_def_12) = join(composition(X0,composition(X1,iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_7055,c_388]) ).
tcf(c_22810,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(iPr_def_10)),composition(iPr_def_12,X2)) = join(composition(X0,composition(X1,composition(iPr_def_12,X2))),zero),
inference(superposition,[status(thm)],[c_8911,c_388]) ).
tcf(c_22811,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_11,X2))),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),zero),
inference(superposition,[status(thm)],[c_13261,c_388]) ).
tcf(c_22813,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,converse(iPr_def_10))),iPr_def_12) = join(composition(X0,composition(X1,iPr_def_12)),composition(X2,iPr_def_12)),
inference(superposition,[status(thm)],[c_20454,c_388]) ).
tcf(c_22814,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(iPr_def_12)),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),zero),
inference(superposition,[status(thm)],[c_7459,c_388]) ).
tcf(c_22815,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_10,X2))),iPr_def_11) = join(composition(X0,composition(X1,iPr_def_11)),zero),
inference(superposition,[status(thm)],[c_12931,c_388]) ).
tcf(c_22817,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(iPr_def_12)),composition(iPr_def_10,X2)) = join(composition(X0,composition(X1,composition(iPr_def_10,X2))),zero),
inference(superposition,[status(thm)],[c_8927,c_388]) ).
tcf(c_22818,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,converse(iPr_def_12))),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),composition(X2,iPr_def_10)),
inference(superposition,[status(thm)],[c_20664,c_388]) ).
tcf(c_22819,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_12,X2))),iPr_def_10) = join(composition(X0,composition(X1,iPr_def_10)),zero),
inference(superposition,[status(thm)],[c_8919,c_388]) ).
tcf(c_22820,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_10,X2))),iPr_def_12) = join(composition(X0,composition(X1,iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_8938,c_388]) ).
tcf(c_22821,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),complement(composition(converse(X2),top))) = join(composition(X0,composition(X1,complement(composition(converse(X2),top)))),zero),
inference(superposition,[status(thm)],[c_9546,c_388]) ).
tcf(c_22822,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,top)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),converse(iPr_def_12)),top),
inference(superposition,[status(thm)],[c_18563,c_388]) ).
tcf(c_22823,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,top)),composition(top,iPr_def_10)) = composition(join(composition(X0,X1),converse(iPr_def_10)),top),
inference(superposition,[status(thm)],[c_19820,c_388]) ).
tcf(c_22825,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),complement(iPr_def_12)),top) = join(composition(X0,composition(X1,top)),iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_388]) ).
tcf(c_22826,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,top)),join(iPr_def_12,composition(X2,top))) = composition(join(composition(X0,X1),join(X2,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_11846,c_388]) ).
tcf(c_22827,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_12)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),top),iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_388]) ).
tcf(c_22828,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(top,X2))),composition(iPr_def_12,X2)) = composition(join(composition(X0,X1),iPr_def_12),composition(top,X2)),
inference(superposition,[status(thm)],[c_11840,c_388]) ).
tcf(c_22829,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(iPr_def_12)),complement(iPr_def_12)) = join(composition(X0,composition(X1,complement(iPr_def_12))),zero),
inference(superposition,[status(thm)],[c_11843,c_388]) ).
tcf(c_22830,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(complement(iPr_def_12))),iPr_def_12) = join(composition(X0,composition(X1,iPr_def_12)),zero),
inference(superposition,[status(thm)],[c_12194,c_388]) ).
tcf(c_22831,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,top)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),converse(iPr_def_11)),top),
inference(superposition,[status(thm)],[c_18545,c_388]) ).
tcf(c_22832,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(top,X2))),composition(iPr_def_10,X2)) = composition(join(composition(X0,X1),complement(iPr_def_12)),composition(top,X2)),
inference(superposition,[status(thm)],[c_15252,c_388]) ).
tcf(c_22833,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_11)),composition(converse(X2),iPr_def_11)) = composition(join(composition(X0,X1),converse(join(iPr_def_10,X2))),iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_388]) ).
tcf(c_22834,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_11)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),complement(converse(iPr_def_10))),iPr_def_11),
inference(superposition,[status(thm)],[c_16862,c_388]) ).
tcf(c_22836,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(one,X2)),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17550,c_388]) ).
tcf(c_22837,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)) = composition(join(composition(X0,X1),top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_388]) ).
tcf(c_22838,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(iPr_def_11))),converse(iPr_def_12)) = composition(join(composition(X0,X1),top),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_16908,c_388]) ).
tcf(c_22839,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(iPr_def_12))),converse(iPr_def_12)) = composition(join(composition(X0,X1),top),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_388]) ).
tcf(c_22840,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(complement(iPr_def_12)))),converse(iPr_def_10)) = composition(join(composition(X0,X1),top),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16923,c_388]) ).
tcf(c_22841,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(converse(iPr_def_11),X2))),composition(converse(iPr_def_12),X2)) = composition(join(composition(X0,X1),top),composition(converse(iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_16989,c_388]) ).
tcf(c_22842,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(iPr_def_12))),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(composition(X0,X1),iPr_def_10),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_17002,c_388]) ).
tcf(c_22843,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_10)),composition(top,iPr_def_10)) = composition(join(composition(X0,X1),converse(iPr_def_10)),iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_388]) ).
tcf(c_22844,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(converse(iPr_def_10),X2))),composition(converse(iPr_def_10),X2)) = composition(join(composition(X0,X1),top),composition(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_17014,c_388]) ).
tcf(c_22845,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(iPr_def_10))),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(composition(X0,X1),complement(iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_388]) ).
tcf(c_22846,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(iPr_def_10))),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(composition(X0,X1),iPr_def_12),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17025,c_388]) ).
tcf(c_22847,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(converse(iPr_def_12),X2))),composition(iPr_def_10,composition(converse(iPr_def_11),X2))) = composition(join(composition(X0,X1),iPr_def_10),composition(converse(iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_17451,c_388]) ).
tcf(c_22848,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_11)),composition(converse(X2),iPr_def_11)) = composition(join(composition(X0,X1),converse(join(X2,iPr_def_10))),iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_388]) ).
tcf(c_22849,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_11)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),converse(iPr_def_11)),iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_388]) ).
tcf(c_22850,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_11)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),converse(iPr_def_12)),iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_388]) ).
tcf(c_22851,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(converse(iPr_def_12),X2))),composition(converse(iPr_def_12),X2)) = composition(join(composition(X0,X1),top),composition(converse(iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_17470,c_388]) ).
tcf(c_22852,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,converse(complement(iPr_def_12)))),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(composition(X0,X1),iPr_def_10),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_388]) ).
tcf(c_22853,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,converse(composition(X2,iPr_def_10)))),converse(composition(X2,iPr_def_10))) = composition(join(composition(X0,X1),top),converse(composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_388]) ).
tcf(c_22854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,one))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_388]) ).
tcf(c_22855,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,converse(composition(X2,iPr_def_12)))),converse(composition(X2,iPr_def_12))) = composition(join(composition(X0,X1),top),converse(composition(X2,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_388]) ).
tcf(c_22856,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,complement(composition(top,iPr_def_11)))),zero) = composition(join(composition(X0,X1),iPr_def_12),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_19198,c_388]) ).
tcf(c_22857,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_12)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),converse(iPr_def_11)),iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_388]) ).
tcf(c_22858,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,complement(composition(top,iPr_def_11)))),zero) = composition(join(composition(X0,X1),iPr_def_11),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_388]) ).
tcf(c_22859,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top)))))),zero) = composition(join(composition(X0,X1),top),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))),
inference(superposition,[status(thm)],[c_18222,c_388]) ).
tcf(c_22860,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top)))))),zero) = composition(join(composition(X0,X1),iPr_def_10),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))),
inference(superposition,[status(thm)],[c_18823,c_388]) ).
tcf(c_22861,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_10)),composition(converse(X2),iPr_def_10)) = composition(join(composition(X0,X1),converse(join(iPr_def_11,X2))),iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_388]) ).
tcf(c_22862,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_10)),composition(top,iPr_def_10)) = composition(join(composition(X0,X1),complement(converse(iPr_def_11))),iPr_def_10),
inference(superposition,[status(thm)],[c_18477,c_388]) ).
tcf(c_22863,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_10)),composition(converse(X2),iPr_def_10)) = composition(join(composition(X0,X1),converse(join(X2,iPr_def_11))),iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_388]) ).
tcf(c_22864,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,complement(composition(top,iPr_def_10)))),zero) = composition(join(composition(X0,X1),iPr_def_10),complement(composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_388]) ).
tcf(c_22865,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(iPr_def_12,X2))),composition(top,composition(iPr_def_11,X2))) = composition(join(composition(X0,X1),top),composition(iPr_def_12,X2)),
inference(superposition,[status(thm)],[c_20386,c_388]) ).
tcf(c_22866,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_12)),composition(iPr_def_10,iPr_def_11)) = composition(join(composition(X0,X1),iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_19869,c_388]) ).
tcf(c_22867,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,composition(iPr_def_12,X2))),composition(iPr_def_10,composition(iPr_def_11,X2))) = composition(join(composition(X0,X1),iPr_def_10),composition(iPr_def_12,X2)),
inference(superposition,[status(thm)],[c_20422,c_388]) ).
tcf(c_22868,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_12)),composition(converse(X2),iPr_def_12)) = composition(join(composition(X0,X1),converse(join(iPr_def_10,X2))),iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_388]) ).
tcf(c_22869,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_12)),composition(converse(X2),iPr_def_12)) = composition(join(composition(X0,X1),converse(join(X2,iPr_def_10))),iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_388]) ).
tcf(c_22870,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_12)),composition(top,iPr_def_11)) = composition(join(composition(X0,X1),converse(iPr_def_12)),iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_388]) ).
tcf(c_22871,plain,
! [X0: $i,X1: $i] : join(composition(X0,composition(X1,iPr_def_10)),composition(top,iPr_def_10)) = composition(join(composition(X0,X1),complement(converse(iPr_def_12))),iPr_def_10),
inference(superposition,[status(thm)],[c_20668,c_388]) ).
tcf(c_22872,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(X2,iPr_def_10))),complement(composition(X2,iPr_def_10))) = join(composition(X0,composition(X1,complement(composition(X2,iPr_def_10)))),zero),
inference(superposition,[status(thm)],[c_22506,c_388]) ).
tcf(c_22873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),join(composition(X3,X2),converse(complement(converse(composition(join(composition(X0,X1),X3),X2)))))) = top,
inference(superposition,[status(thm)],[c_388,c_9717]) ).
tcf(c_22874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(composition(X0,composition(X1,X2)),join(composition(X3,X2),iPr_def_11))),complement(join(iPr_def_11,complement(composition(join(composition(X0,X1),X3),X2))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_388,c_376]) ).
tcf(c_22875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,X2)),join(composition(X3,X2),join(complement(composition(join(composition(X0,X1),X3),X2)),X4))) = top,
inference(superposition,[status(thm)],[c_388,c_7392]) ).
tcf(c_22876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),composition(join(composition(X0,X1),X3),X2)) = composition(join(composition(X0,X1),X3),X2),
inference(superposition,[status(thm)],[c_388,c_7878]) ).
tcf(c_22877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),join(composition(X3,X2),complement(composition(join(composition(X0,X1),X3),X2)))) = top,
inference(superposition,[status(thm)],[c_388,c_375]) ).
tcf(c_22878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,X2)),join(composition(X3,X2),X4)) = join(composition(join(composition(X0,X1),X3),X2),X4),
inference(superposition,[status(thm)],[c_388,c_50]) ).
tcf(c_22879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(X2,composition(X3,X1))) = composition(join(composition(X2,X3),X0),X1),
inference(superposition,[status(thm)],[c_388,c_49]) ).
tcf(c_22881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,X2)),join(X3,composition(X4,X2))) = join(X3,composition(join(composition(X0,X1),X4),X2)),
inference(superposition,[status(thm)],[c_388,c_191]) ).
tcf(c_22883,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(composition(X0,X1),converse(X2)),complement(composition(X2,iPr_def_10)))) = join(composition(X0,composition(X1,complement(composition(X2,iPr_def_10)))),iPr_def_11),
inference(superposition,[status(thm)],[c_388,c_9023]) ).
tcf(c_22884,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(composition(X0,X1),complement(join(iPr_def_11,X2))),top)) = join(composition(X0,composition(X1,top)),iPr_def_10),
inference(superposition,[status(thm)],[c_388,c_13394]) ).
tcf(c_22891,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(X0,composition(X1,X2))) = composition(join(zero,composition(X0,X1)),X2),
inference(theory_normalisation,[status(thm)],[c_22799,c_50,c_49]) ).
tcf(c_22892,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),zero) = join(zero,composition(X0,composition(X1,zero))),
inference(theory_normalisation,[status(thm)],[c_22796,c_50,c_49]) ).
tcf(c_22893,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(X0,composition(X1,top))) = composition(join(iPr_def_12,composition(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_22794,c_50,c_49]) ).
tcf(c_22895,plain,
! [X0: $i,X1: $i] : join(top,composition(X0,composition(X1,top))) = composition(join(top,composition(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_22789,c_50,c_49]) ).
tcf(c_22896,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(X0,composition(X1,top))) = composition(join(iPr_def_10,composition(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_22778,c_50,c_49]) ).
tcf(c_22897,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(X0,composition(X1,top))) = composition(join(iPr_def_11,composition(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_22777,c_50,c_49]) ).
tcf(c_22900,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),zero) = join(zero,composition(X2,zero)),
inference(light_normalisation,[status(thm)],[c_22697,c_8201]) ).
tcf(c_22901,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,X1),X2) = composition(join(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_22694,c_53,c_399]) ).
tcf(c_22902,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_12,X0),composition(X1,X0)) = composition(join(iPr_def_12,X1),X0),
inference(light_normalisation,[status(thm)],[c_22665,c_11779]) ).
tcf(c_22906,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,X0),composition(X1,X0)) = composition(join(iPr_def_10,X1),X0),
inference(light_normalisation,[status(thm)],[c_22655,c_193]) ).
tcf(c_22908,plain,
! [X0: $i,X1: $i] : composition(join(complement(iPr_def_12),composition(X0,X1)),top) = join(iPr_def_10,composition(X0,composition(X1,top))),
inference(theory_normalisation,[status(thm)],[c_22825,c_50,c_49]) ).
tcf(c_22909,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),composition(X0,X1)),iPr_def_10) = join(zero,composition(X0,composition(X1,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_22814,c_50,c_49]) ).
tcf(c_22910,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),composition(X0,X1)),iPr_def_12) = join(zero,composition(X0,composition(X1,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_22809,c_50,c_49]) ).
tcf(c_22911,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),composition(X0,X1)),iPr_def_10) = join(zero,composition(X0,composition(X1,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_22802,c_50,c_49]) ).
tcf(c_22912,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),composition(X0,X1)),iPr_def_11) = join(zero,composition(X0,composition(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_22781,c_50,c_49]) ).
tcf(c_22913,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_12)),X1),iPr_def_10) = join(zero,composition(X1,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_22715,c_8201]) ).
tcf(c_22914,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),iPr_def_12) = join(zero,composition(X1,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_22710,c_8201]) ).
tcf(c_22915,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),iPr_def_10) = join(zero,composition(X1,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_22703,c_8201]) ).
tcf(c_22916,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),iPr_def_11) = join(zero,composition(X1,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_22682,c_8201]) ).
tcf(c_22918,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,iPr_def_11),composition(X0,composition(X1,iPr_def_12))) = composition(join(iPr_def_10,composition(X0,X1)),iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_22866,c_50,c_49]) ).
tcf(c_22919,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(complement(iPr_def_12))),iPr_def_12) = join(zero,composition(X0,composition(X1,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_22830,c_50,c_49]) ).
tcf(c_22920,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,iPr_def_12))) = composition(join(top,composition(X0,X1)),iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_22827,c_50,c_49]) ).
tcf(c_22921,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),converse(complement(iPr_def_12))),iPr_def_11) = join(zero,composition(X0,composition(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_22804,c_50,c_49]) ).
tcf(c_22922,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(complement(iPr_def_12))),X1),iPr_def_12) = join(zero,composition(X1,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_22731,c_8201]) ).
tcf(c_22923,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(complement(iPr_def_12))),X1),iPr_def_11) = join(zero,composition(X1,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_22705,c_8201]) ).
tcf(c_22924,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,composition(iPr_def_11,X0)),composition(X1,X0)) = composition(join(composition(iPr_def_10,iPr_def_11),X1),X0),
inference(light_normalisation,[status(thm)],[c_22674,c_19869]) ).
tcf(c_22925,plain,
! [X0: $i,X1: $i] : join(composition(top,composition(iPr_def_11,X0)),composition(X1,X0)) = composition(join(composition(top,iPr_def_11),X1),X0),
inference(light_normalisation,[status(thm)],[c_22673,c_19797]) ).
tcf(c_22926,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,X0)) = composition(join(converse(iPr_def_12),X1),X0),
inference(light_normalisation,[status(thm)],[c_22670,c_16918]) ).
tcf(c_22927,plain,
! [X0: $i,X1: $i] : join(composition(converse(iPr_def_10),X0),composition(X1,X0)) = composition(join(converse(iPr_def_10),X1),X0),
inference(light_normalisation,[status(thm)],[c_22668,c_16909]) ).
tcf(c_22929,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,iPr_def_12))) = composition(join(converse(iPr_def_12),composition(X0,X1)),iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_22870,c_50,c_49]) ).
tcf(c_22930,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,iPr_def_12))) = composition(join(converse(iPr_def_11),composition(X0,X1)),iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_22857,c_50,c_49]) ).
tcf(c_22931,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,iPr_def_11))) = composition(join(converse(iPr_def_12),composition(X0,X1)),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_22850,c_50,c_49]) ).
tcf(c_22932,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,iPr_def_11))) = composition(join(converse(iPr_def_11),composition(X0,X1)),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_22849,c_50,c_49]) ).
tcf(c_22933,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_10),composition(X0,composition(X1,iPr_def_10))) = composition(join(converse(iPr_def_10),composition(X0,X1)),iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_22843,c_50,c_49]) ).
tcf(c_22934,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),composition(X0,composition(X1,converse(iPr_def_12)))) = composition(join(top,composition(X0,X1)),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_22839,c_50,c_49]) ).
tcf(c_22935,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),composition(X0,composition(X1,converse(iPr_def_11)))) = composition(join(top,composition(X0,X1)),converse(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_22838,c_50,c_49]) ).
tcf(c_22936,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_22837,c_50,c_49]) ).
tcf(c_22937,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,top))) = composition(join(converse(iPr_def_11),composition(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_22831,c_50,c_49]) ).
tcf(c_22938,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),composition(X0,X1)),complement(iPr_def_12)) = join(zero,composition(X0,composition(X1,complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_22829,c_50,c_49]) ).
tcf(c_22939,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_10),composition(X0,composition(X1,top))) = composition(join(converse(iPr_def_10),composition(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_22823,c_50,c_49]) ).
tcf(c_22940,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,top))) = composition(join(converse(iPr_def_12),composition(X0,X1)),top),
inference(theory_normalisation,[status(thm)],[c_22822,c_50,c_49]) ).
tcf(c_22941,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_10,X2))),iPr_def_12) = join(zero,composition(X0,composition(X1,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_22820,c_50,c_49]) ).
tcf(c_22942,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_12,X2))),iPr_def_10) = join(zero,composition(X0,composition(X1,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_22819,c_50,c_49]) ).
tcf(c_22943,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_10,X2))),iPr_def_11) = join(zero,composition(X0,composition(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_22815,c_50,c_49]) ).
tcf(c_22944,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_11,X2))),iPr_def_10) = join(zero,composition(X0,composition(X1,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_22811,c_50,c_49]) ).
tcf(c_22945,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),composition(X0,X1)),complement(iPr_def_12)) = join(zero,composition(X0,composition(X1,complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_22780,c_50,c_49]) ).
tcf(c_22946,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_12)),X1),complement(iPr_def_12)) = join(zero,composition(X1,complement(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_22730,c_8201]) ).
tcf(c_22947,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_10,X1))),X2),iPr_def_12) = join(zero,composition(X2,iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_22721,c_8201]) ).
tcf(c_22948,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_12,X1))),X2),iPr_def_10) = join(zero,composition(X2,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_22720,c_8201]) ).
tcf(c_22949,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_10,X1))),X2),iPr_def_11) = join(zero,composition(X2,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_22716,c_8201]) ).
tcf(c_22950,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(iPr_def_11,X1))),X2),iPr_def_10) = join(zero,composition(X2,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_22712,c_8201]) ).
tcf(c_22951,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),complement(iPr_def_12)) = join(zero,composition(X1,complement(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_22681,c_8201]) ).
tcf(c_22952,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_10),composition(X0,composition(X1,iPr_def_10))) = composition(join(complement(converse(iPr_def_12)),composition(X0,X1)),iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_22871,c_50,c_49]) ).
tcf(c_22953,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_10),composition(X0,composition(X1,iPr_def_10))) = composition(join(complement(converse(iPr_def_11)),composition(X0,X1)),iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_22862,c_50,c_49]) ).
tcf(c_22954,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),composition(X0,composition(X1,iPr_def_11))) = composition(join(complement(converse(iPr_def_10)),composition(X0,X1)),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_22834,c_50,c_49]) ).
tcf(c_22955,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,composition(converse(iPr_def_11),X0)),composition(X1,X0)) = composition(join(composition(iPr_def_10,converse(iPr_def_11)),X1),X0),
inference(light_normalisation,[status(thm)],[c_22669,c_17002]) ).
tcf(c_22956,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(composition(X0,X1),complement(join(iPr_def_11,X2))),top)) = join(iPr_def_10,composition(X0,composition(X1,top))),
inference(theory_normalisation,[status(thm)],[c_22884,c_50,c_49]) ).
tcf(c_22957,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_11,converse(iPr_def_10)),composition(X0,composition(X1,converse(iPr_def_10)))) = composition(join(iPr_def_12,composition(X0,X1)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_22846,c_50,c_49]) ).
tcf(c_22958,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(iPr_def_11)),composition(X0,composition(X1,converse(iPr_def_12)))) = composition(join(iPr_def_10,composition(X0,X1)),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_22842,c_50,c_49]) ).
tcf(c_22959,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),composition(X0,composition(X1,converse(complement(iPr_def_12))))) = composition(join(top,composition(X0,X1)),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_22840,c_50,c_49]) ).
tcf(c_22960,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,composition(X1,X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_22836,c_50,c_49]) ).
tcf(c_22962,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_12),join(X0,composition(X1,X2))),iPr_def_10) = join(composition(X1,composition(X2,iPr_def_10)),composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_22818,c_50,c_49]) ).
tcf(c_22963,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_12),composition(X0,X1)),composition(iPr_def_10,X2)) = join(zero,composition(X0,composition(X1,composition(iPr_def_10,X2)))),
inference(theory_normalisation,[status(thm)],[c_22817,c_50,c_49]) ).
tcf(c_22965,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_10),join(X0,composition(X1,X2))),iPr_def_12) = join(composition(X1,composition(X2,iPr_def_12)),composition(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_22813,c_50,c_49]) ).
tcf(c_22967,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_10),composition(X0,X1)),composition(iPr_def_12,X2)) = join(zero,composition(X0,composition(X1,composition(iPr_def_12,X2)))),
inference(theory_normalisation,[status(thm)],[c_22810,c_50,c_49]) ).
tcf(c_22968,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_11),join(X0,composition(X1,X2))),iPr_def_10) = join(composition(X1,composition(X2,iPr_def_10)),composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_22807,c_50,c_49]) ).
tcf(c_22969,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_11),composition(X0,X1)),composition(iPr_def_10,X2)) = join(zero,composition(X0,composition(X1,composition(iPr_def_10,X2)))),
inference(theory_normalisation,[status(thm)],[c_22806,c_50,c_49]) ).
tcf(c_22971,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_10),join(X0,composition(X1,X2))),iPr_def_11) = join(composition(X1,composition(X2,iPr_def_11)),composition(X0,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_22801,c_50,c_49]) ).
tcf(c_22972,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_10),composition(X0,X1)),composition(iPr_def_11,X2)) = join(zero,composition(X0,composition(X1,composition(iPr_def_11,X2)))),
inference(theory_normalisation,[status(thm)],[c_22800,c_50,c_49]) ).
tcf(c_22974,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_12)),X1),composition(iPr_def_10,X2)) = join(zero,composition(X1,composition(iPr_def_10,X2))),
inference(light_normalisation,[status(thm)],[c_22718,c_8201]) ).
tcf(c_22975,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),composition(iPr_def_12,X2)) = join(zero,composition(X1,composition(iPr_def_12,X2))),
inference(light_normalisation,[status(thm)],[c_22711,c_8201]) ).
tcf(c_22976,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),composition(iPr_def_10,X2)) = join(zero,composition(X1,composition(iPr_def_10,X2))),
inference(light_normalisation,[status(thm)],[c_22707,c_8201]) ).
tcf(c_22977,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_10)),X1),composition(iPr_def_11,X2)) = join(zero,composition(X1,composition(iPr_def_11,X2))),
inference(light_normalisation,[status(thm)],[c_22701,c_8201]) ).
tcf(c_22978,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(X1,complement(composition(top,iPr_def_10))))) = composition(join(iPr_def_10,composition(X0,X1)),complement(composition(top,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_22864,c_50,c_49]) ).
tcf(c_22979,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(X1,complement(composition(top,iPr_def_11))))) = composition(join(iPr_def_11,composition(X0,X1)),complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_22858,c_50,c_49]) ).
tcf(c_22980,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,composition(X1,complement(composition(top,iPr_def_11))))) = composition(join(iPr_def_12,composition(X0,X1)),complement(composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_22856,c_50,c_49]) ).
tcf(c_22981,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),composition(X0,composition(X1,converse(iPr_def_10)))) = composition(join(complement(iPr_def_12),composition(X0,X1)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_22845,c_50,c_49]) ).
tcf(c_22982,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(X2,composition(top,X0)))) = composition(join(iPr_def_12,composition(X1,X2)),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_22828,c_50,c_49]) ).
tcf(c_22983,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,composition(X1,top)),composition(X2,top))) = composition(join(iPr_def_12,join(X2,composition(X0,X1))),top),
inference(theory_normalisation,[status(thm)],[c_22826,c_50,c_49]) ).
tcf(c_22985,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(complement(iPr_def_12))),composition(iPr_def_11,X2)) = join(zero,composition(X0,composition(X1,composition(iPr_def_11,X2)))),
inference(theory_normalisation,[status(thm)],[c_22808,c_50,c_49]) ).
tcf(c_22986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,composition(X2,X0)),composition(X3,X0))) = composition(join(one,join(composition(X1,X2),X3)),X0),
inference(theory_normalisation,[status(thm)],[c_22798,c_50,c_49]) ).
tcf(c_22988,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,composition(X1,top)),composition(X2,top))) = composition(join(iPr_def_10,join(X2,composition(X0,X1))),top),
inference(theory_normalisation,[status(thm)],[c_22788,c_50,c_49]) ).
tcf(c_22989,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,composition(X1,top)),composition(X2,top))) = composition(join(iPr_def_11,join(X2,composition(X0,X1))),top),
inference(theory_normalisation,[status(thm)],[c_22787,c_50,c_49]) ).
tcf(c_22992,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(X2,composition(top,X0)))) = composition(join(iPr_def_10,composition(X1,X2)),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_22784,c_50,c_49]) ).
tcf(c_22993,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),composition(X1,composition(X2,composition(top,X0)))) = composition(join(iPr_def_11,composition(X1,X2)),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_22783,c_50,c_49]) ).
tcf(c_22994,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_10),X1),complement(composition(top,iPr_def_10))) = join(zero,composition(X1,complement(composition(top,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_22765,c_8201]) ).
tcf(c_22995,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_11),X1),complement(composition(top,iPr_def_11))) = join(zero,composition(X1,complement(composition(top,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_22759,c_8201]) ).
tcf(c_22996,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_12),X1),complement(composition(top,iPr_def_11))) = join(zero,composition(X1,complement(composition(top,iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_22757,c_8201]) ).
tcf(c_22997,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(complement(iPr_def_12))),X1),composition(iPr_def_11,X2)) = join(zero,composition(X1,composition(iPr_def_11,X2))),
inference(light_normalisation,[status(thm)],[c_22709,c_8201]) ).
tcf(c_22998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(one,join(X0,join(composition(X1,X2),X3))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_22854,c_50,c_49]) ).
tcf(c_22999,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),composition(X0,composition(X1,converse(complement(iPr_def_12))))) = composition(join(iPr_def_10,composition(X0,X1)),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_22852,c_50,c_49]) ).
tcf(c_23000,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),composition(X1,composition(X2,composition(top,X0)))) = composition(join(complement(iPr_def_12),composition(X1,X2)),composition(top,X0)),
inference(theory_normalisation,[status(thm)],[c_22832,c_50,c_49]) ).
tcf(c_23001,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_11),composition(X0,X1)),composition(complement(iPr_def_12),X2)) = join(zero,composition(X0,composition(X1,composition(complement(iPr_def_12),X2)))),
inference(theory_normalisation,[status(thm)],[c_22803,c_50,c_49]) ).
tcf(c_23002,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(X2)),complement(composition(X2,top))) = join(zero,composition(X0,composition(X1,complement(composition(X2,top))))),
inference(theory_normalisation,[status(thm)],[c_22779,c_50,c_49]) ).
tcf(c_23003,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(iPr_def_11)),X1),composition(complement(iPr_def_12),X2)) = join(zero,composition(X1,composition(complement(iPr_def_12),X2))),
inference(light_normalisation,[status(thm)],[c_22704,c_8201]) ).
tcf(c_23004,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(X1)),X2),complement(composition(X1,top))) = join(zero,composition(X2,complement(composition(X1,top)))),
inference(light_normalisation,[status(thm)],[c_22680,c_8201]) ).
tcf(c_23005,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,composition(iPr_def_11,X0)),composition(X1,composition(X2,composition(iPr_def_12,X0)))) = composition(join(iPr_def_10,composition(X1,X2)),composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_22867,c_50,c_49]) ).
tcf(c_23006,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,composition(iPr_def_11,X0)),composition(X1,composition(X2,composition(iPr_def_12,X0)))) = composition(join(top,composition(X1,X2)),composition(iPr_def_12,X0)),
inference(theory_normalisation,[status(thm)],[c_22865,c_50,c_49]) ).
tcf(c_23007,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),complement(composition(converse(X2),top))) = join(zero,composition(X0,composition(X1,complement(composition(converse(X2),top))))),
inference(theory_normalisation,[status(thm)],[c_22821,c_50,c_49]) ).
tcf(c_23008,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),X2),complement(composition(converse(X1),top))) = join(zero,composition(X2,complement(composition(converse(X1),top)))),
inference(light_normalisation,[status(thm)],[c_22722,c_8201]) ).
tcf(c_23009,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(composition(X0,X1),converse(X2)),complement(composition(X2,iPr_def_10)))) = join(iPr_def_11,composition(X0,composition(X1,complement(composition(X2,iPr_def_10))))),
inference(theory_normalisation,[status(thm)],[c_22883,c_50,c_49]) ).
tcf(c_23010,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(composition(X2,iPr_def_10))),complement(composition(X2,iPr_def_10))) = join(zero,composition(X0,composition(X1,complement(composition(X2,iPr_def_10))))),
inference(theory_normalisation,[status(thm)],[c_22872,c_50,c_49]) ).
tcf(c_23011,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,iPr_def_12)),composition(X1,composition(X2,converse(composition(X0,iPr_def_12))))) = composition(join(top,composition(X1,X2)),converse(composition(X0,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_22855,c_50,c_49]) ).
tcf(c_23012,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,composition(X2,converse(composition(X0,iPr_def_10))))) = composition(join(top,composition(X1,X2)),converse(composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_22853,c_50,c_49]) ).
tcf(c_23013,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,composition(X2,composition(converse(iPr_def_12),X0)))) = composition(join(top,composition(X1,X2)),composition(converse(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_22851,c_50,c_49]) ).
tcf(c_23014,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_10),X0),composition(X1,composition(X2,composition(converse(iPr_def_10),X0)))) = composition(join(top,composition(X1,X2)),composition(converse(iPr_def_10),X0)),
inference(theory_normalisation,[status(thm)],[c_22844,c_50,c_49]) ).
tcf(c_23015,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),X0),composition(X1,composition(X2,composition(converse(iPr_def_11),X0)))) = composition(join(top,composition(X1,X2)),composition(converse(iPr_def_11),X0)),
inference(theory_normalisation,[status(thm)],[c_22841,c_50,c_49]) ).
tcf(c_23016,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(composition(X1,iPr_def_10))),X2),complement(composition(X1,iPr_def_10))) = join(zero,composition(X2,complement(composition(X1,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_22773,c_8201]) ).
tcf(c_23017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(composition(X0,composition(X1,top)),composition(join(X2,X3),top))) = composition(join(iPr_def_10,join(X2,join(composition(X0,X1),X3))),top),
inference(theory_normalisation,[status(thm)],[c_22791,c_50,c_49]) ).
tcf(c_23018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),composition(join(iPr_def_10,X3),composition(top,X2))) = composition(join(iPr_def_10,join(composition(X0,X1),composition(X3,top))),X2),
inference(theory_normalisation,[status(thm)],[c_22790,c_50,c_49]) ).
tcf(c_23019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(iPr_def_10,X0),composition(top,composition(X1,X2))),composition(X3,X2)) = composition(join(composition(join(X0,iPr_def_10),composition(top,X1)),X3),X2),
inference(light_normalisation,[status(thm)],[c_22656,c_474]) ).
tcf(c_23020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(iPr_def_11,complement(composition(join(composition(X0,X1),X2),X3)))),complement(join(iPr_def_11,join(composition(X0,composition(X1,X3)),composition(X2,X3))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_22874,c_50,c_49]) ).
tcf(c_23021,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,composition(converse(iPr_def_11),X0)),composition(X1,composition(X2,composition(converse(iPr_def_12),X0)))) = composition(join(iPr_def_10,composition(X1,X2)),composition(converse(iPr_def_12),X0)),
inference(theory_normalisation,[status(thm)],[c_22847,c_50,c_49]) ).
tcf(c_23022,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(join(iPr_def_10,X2))),complement(join(iPr_def_10,composition(X2,top)))) = join(zero,composition(X0,composition(X1,complement(join(iPr_def_10,composition(X2,top)))))),
inference(theory_normalisation,[status(thm)],[c_22792,c_50,c_49]) ).
tcf(c_23023,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(join(iPr_def_10,X1))),X2),complement(join(iPr_def_10,composition(X1,top)))) = join(zero,composition(X2,complement(join(iPr_def_10,composition(X1,top))))),
inference(light_normalisation,[status(thm)],[c_22693,c_8201]) ).
tcf(c_23024,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(X0,composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))))) = composition(join(iPr_def_10,composition(X0,X1)),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))),
inference(theory_normalisation,[status(thm)],[c_22860,c_50,c_49]) ).
tcf(c_23025,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(X0,composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))))) = composition(join(top,composition(X0,X1)),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))),
inference(theory_normalisation,[status(thm)],[c_22859,c_50,c_49]) ).
tcf(c_23026,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,iPr_def_10),X1),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))) = join(zero,composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top)))))),
inference(light_normalisation,[status(thm)],[c_22761,c_8201]) ).
tcf(c_23027,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,top),X1),composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))) = join(zero,composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top)))))),
inference(light_normalisation,[status(thm)],[c_22760,c_8201]) ).
tcf(c_23028,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),composition(X1,top))) = join(iPr_def_10,composition(X1,top)),
inference(demodulation,[status(thm)],[c_16170,c_22690]) ).
tcf(c_23116,plain,
join(complement(iPr_def_12),converse(converse(iPr_def_10))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_12590,c_17506]) ).
tcf(c_23132,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X0,X2))))) = top,
inference(superposition,[status(thm)],[c_191,c_12854]) ).
tcf(c_23133,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,zero)))) = top,
inference(superposition,[status(thm)],[c_1336,c_12854]) ).
tcf(c_23136,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X1),complement(join(X0,complement(X1))))) = top,
inference(superposition,[status(thm)],[c_362,c_12854]) ).
tcf(c_23139,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,complement(join(X0,complement(join(X1,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_369,c_12854]) ).
tcf(c_23175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,X1),join(X3,complement(composition(join(X0,X2),X1))))) = top,
inference(superposition,[status(thm)],[c_54,c_12854]) ).
tcf(c_23176,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),join(X2,complement(converse(join(X0,X1)))))) = top,
inference(superposition,[status(thm)],[c_56,c_12854]) ).
tcf(c_23177,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_59,c_12854]) ).
tcf(c_23179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,X2),join(X3,complement(join(X1,join(X0,X2)))))) = top,
inference(superposition,[status(thm)],[c_191,c_12854]) ).
tcf(c_23180,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,join(X1,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_1336,c_12854]) ).
tcf(c_23181,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,complement(top)))) = top,
inference(superposition,[status(thm)],[c_209,c_12854]) ).
tcf(c_23186,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(complement(X0),X1),join(X2,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7124,c_12854]) ).
tcf(c_23187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(join(composition(converse(X1),complement(composition(X1,X0))),X2),join(X3,complement(join(complement(X0),X2))))) = top,
inference(superposition,[status(thm)],[c_362,c_12854]) ).
tcf(c_23188,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7096,c_12854]) ).
tcf(c_23189,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_11,X0),join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7123,c_12854]) ).
tcf(c_23190,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_11)),join(join(complement(join(iPr_def_11,complement(X0))),X1),join(X2,complement(join(iPr_def_10,X1))))) = top,
inference(superposition,[status(thm)],[c_369,c_12854]) ).
tcf(c_23193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,X2)),join(composition(X3,X2),join(X4,complement(composition(join(composition(X0,X1),X3),X2))))) = top,
inference(superposition,[status(thm)],[c_388,c_12854]) ).
tcf(c_23194,plain,
! [X0: $i,X1: $i] : join(X0,join(top,join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7015,c_12854]) ).
tcf(c_23195,plain,
! [X0: $i,X1: $i] : join(X0,join(zero,join(X1,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_1429,c_12854]) ).
tcf(c_23199,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(composition(converse(X0),complement(composition(X0,iPr_def_10))),X1),join(X2,complement(join(iPr_def_11,X1))))) = top,
inference(superposition,[status(thm)],[c_434,c_12854]) ).
tcf(c_23200,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,complement(top)))) = top,
inference(superposition,[status(thm)],[c_11774,c_12854]) ).
tcf(c_23201,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_11),join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7122,c_12854]) ).
tcf(c_23202,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_11)),join(X2,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7305,c_12854]) ).
tcf(c_23203,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(iPr_def_11,X1)),join(X2,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7698,c_12854]) ).
tcf(c_23209,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,join(X1,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_7769,c_12854]) ).
tcf(c_23212,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),join(X2,complement(composition(join(X1,one),X0))))) = top,
inference(superposition,[status(thm)],[c_1782,c_12854]) ).
tcf(c_23213,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(X1,X0),join(X2,complement(composition(join(one,X1),X0))))) = top,
inference(superposition,[status(thm)],[c_1767,c_12854]) ).
tcf(c_23216,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_11),join(X1,complement(join(X0,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_2326,c_12854]) ).
tcf(c_23218,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,complement(iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_3207,c_12854]) ).
tcf(c_23219,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),join(X1,complement(join(iPr_def_11,X0))))) = top,
inference(superposition,[status(thm)],[c_3214,c_12854]) ).
tcf(c_23220,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_12),join(X0,complement(complement(iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_13163,c_12854]) ).
tcf(c_23221,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,complement(top)))) = top,
inference(superposition,[status(thm)],[c_4192,c_12854]) ).
tcf(c_23222,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),join(X1,complement(join(iPr_def_11,X0))))) = top,
inference(superposition,[status(thm)],[c_4183,c_12854]) ).
tcf(c_23223,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(complement(iPr_def_12),X0),join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_13559,c_12854]) ).
tcf(c_23224,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,complement(X0)),join(X2,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7426,c_12854]) ).
tcf(c_23226,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(join(X0,join(iPr_def_11,X0))),join(X1,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))))) = top,
inference(superposition,[status(thm)],[c_11158,c_12854]) ).
tcf(c_23227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_11))),join(X3,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7700,c_12854]) ).
tcf(c_23228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_11,X2))),join(X3,complement(top)))) = top,
inference(superposition,[status(thm)],[c_7830,c_12854]) ).
tcf(c_23230,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X0,X1),join(X2,complement(join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_7878,c_12854]) ).
tcf(c_23234,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,composition(converse(X1),complement(composition(X1,iPr_def_10)))),join(X2,complement(join(X0,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_9023,c_12854]) ).
tcf(c_23235,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1))))))),join(X2,complement(join(X0,join(iPr_def_11,complement(X1))))))) = top,
inference(superposition,[status(thm)],[c_9035,c_12854]) ).
tcf(c_23236,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,complement(iPr_def_12)),join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_9125,c_12854]) ).
tcf(c_23240,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(iPr_def_12,X0),join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_11838,c_12854]) ).
tcf(c_23245,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,iPr_def_12),join(X1,complement(top)))) = top,
inference(superposition,[status(thm)],[c_11837,c_12854]) ).
tcf(c_23248,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,join(X1,iPr_def_12)),join(X2,complement(top)))) = top,
inference(superposition,[status(thm)],[c_12163,c_12854]) ).
tcf(c_23249,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(complement(converse(complement(converse(iPr_def_11)))),X0),join(X1,complement(join(iPr_def_11,X0))))) = top,
inference(superposition,[status(thm)],[c_12338,c_12854]) ).
tcf(c_23250,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,complement(converse(complement(converse(iPr_def_11))))),join(X1,complement(join(X0,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_12339,c_12854]) ).
tcf(c_23251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(X2,iPr_def_12))),join(X3,complement(top)))) = top,
inference(superposition,[status(thm)],[c_12476,c_12854]) ).
tcf(c_23252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(join(X0,join(X1,join(iPr_def_12,X2))),join(X3,complement(top)))) = top,
inference(superposition,[status(thm)],[c_15206,c_12854]) ).
tcf(c_23254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(X2,complement(X0))),join(X3,complement(top)))) = top,
inference(superposition,[status(thm)],[c_12833,c_12854]) ).
tcf(c_23255,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,join(X1,complement(iPr_def_12))),join(X2,complement(top)))) = top,
inference(superposition,[status(thm)],[c_13561,c_12854]) ).
tcf(c_23256,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(complement(iPr_def_12),X0),join(X1,complement(join(complement(iPr_def_12),X0))))) = top,
inference(superposition,[status(thm)],[c_13165,c_12854]) ).
tcf(c_23257,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(X0,complement(iPr_def_12)),join(X1,complement(join(X0,complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_13166,c_12854]) ).
tcf(c_23264,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(composition(complement(join(iPr_def_11,X0)),top),X1),join(X2,complement(join(iPr_def_10,X1))))) = top,
inference(superposition,[status(thm)],[c_13393,c_12854]) ).
tcf(c_23265,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(X0,composition(complement(join(iPr_def_11,X1)),top)),join(X2,complement(join(X0,iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13394,c_12854]) ).
tcf(c_23276,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),join(X1,complement(complement(composition(iPr_def_12,X0)))))) = top,
inference(superposition,[status(thm)],[c_15920,c_12854]) ).
tcf(c_23277,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),join(X1,complement(complement(composition(iPr_def_11,X0)))))) = top,
inference(superposition,[status(thm)],[c_15924,c_12854]) ).
tcf(c_23278,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_12,X0)),top),join(X1,complement(composition(complement(composition(iPr_def_12,X0)),top))))) = top,
inference(superposition,[status(thm)],[c_16092,c_12854]) ).
tcf(c_23279,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(composition(iPr_def_11,X0)),top),join(X1,complement(composition(complement(composition(iPr_def_11,X0)),top))))) = top,
inference(superposition,[status(thm)],[c_16108,c_12854]) ).
tcf(c_23289,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,join(X2,complement(join(X0,X1)))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_12854,c_9717]) ).
tcf(c_23290,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(join(X1,join(X2,complement(join(X0,X1)))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12854,c_376]) ).
tcf(c_23291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(X2,complement(join(X0,X1)))),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_12854,c_7392]) ).
tcf(c_23293,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,join(X2,complement(join(X0,X1)))),complement(top))) = top,
inference(superposition,[status(thm)],[c_12854,c_375]) ).
tcf(c_23294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(X2,complement(join(X0,X1)))),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_12854,c_50]) ).
tcf(c_23297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(join(join(X0,X1),X2)))))) = top,
inference(superposition,[status(thm)],[c_12854,c_50]) ).
tcf(c_23299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(join(X0,X2)))))) = join(X1,top),
inference(superposition,[status(thm)],[c_12854,c_191]) ).
tcf(c_23300,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(join(X1,X0))))) = top,
inference(superposition,[status(thm)],[c_12854,c_191]) ).
tcf(c_23301,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(zero,X0)))) = top,
inference(superposition,[status(thm)],[c_12854,c_1336]) ).
tcf(c_23302,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(join(iPr_def_11,X0))))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_12854,c_18476]) ).
tcf(c_23307,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(join(X0,join(X1,complement(join(iPr_def_11,X0)))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_12854,c_11158]) ).
tcf(c_23309,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(X1,complement(join(iPr_def_11,X0)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12854,c_391]) ).
tcf(c_23312,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,join(X2,complement(join(converse(X0),X1)))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12854,c_776]) ).
tcf(c_23314,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(X2,complement(join(converse(X0),X1)))))) = converse(top),
inference(superposition,[status(thm)],[c_12854,c_221]) ).
tcf(c_23315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(X2,complement(join(composition(converse(X3),complement(composition(X3,X0))),X1))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_12854,c_362]) ).
tcf(c_23316,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,complement(join(complement(X0),composition(converse(X2),complement(composition(X2,X0))))))) = top,
inference(superposition,[status(thm)],[c_12854,c_362]) ).
tcf(c_23317,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,complement(join(iPr_def_10,X1))))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_12854,c_9109]) ).
tcf(c_23318,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(join(complement(join(iPr_def_11,complement(X2))),X0))))) = join(complement(join(X2,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_12854,c_369]) ).
tcf(c_23319,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(join(iPr_def_10,X0))))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_12854,c_20457]) ).
tcf(c_23320,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,complement(join(iPr_def_10,X0)))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_12854,c_18626]) ).
tcf(c_23321,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(join(iPr_def_10,X0))))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_12854,c_16861]) ).
tcf(c_23322,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,complement(join(iPr_def_10,X0)))),top)))) = zero,
inference(superposition,[status(thm)],[c_12854,c_9562]) ).
tcf(c_23323,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(join(iPr_def_10,X0)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12854,c_392]) ).
tcf(c_23324,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(complement(join(X1,iPr_def_11)),complement(join(iPr_def_11,complement(X1))))))) = top,
inference(superposition,[status(thm)],[c_12854,c_369]) ).
tcf(c_23328,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,complement(join(composition(converse(X2),complement(composition(X2,iPr_def_10))),X0))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12854,c_434]) ).
tcf(c_23329,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,composition(converse(X1),complement(composition(X1,iPr_def_10))))))) = top,
inference(superposition,[status(thm)],[c_12854,c_434]) ).
tcf(c_23330,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(join(X0,iPr_def_10)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12854,c_9109]) ).
tcf(c_23331,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(converse(iPr_def_10),X0)))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_12854,c_20452]) ).
tcf(c_23332,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(converse(iPr_def_10),X0)))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_12854,c_16856]) ).
tcf(c_23337,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,complement(join(one,X0)))))) = converse(top),
inference(superposition,[status(thm)],[c_12854,c_1723]) ).
tcf(c_23338,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,join(X2,complement(join(one,X1)))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_12854,c_1767]) ).
tcf(c_23341,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(converse(iPr_def_11),X0)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_12854,c_18471]) ).
tcf(c_23342,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(X1,complement(join(iPr_def_12,X0)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12854,c_11839]) ).
tcf(c_23344,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(join(iPr_def_12,X0))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12854,c_3214]) ).
tcf(c_23345,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_12854,c_3214]) ).
tcf(c_23346,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(converse(iPr_def_12),X0)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_12854,c_20661]) ).
tcf(c_23353,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,X0)))) = top,
inference(superposition,[status(thm)],[c_12854,c_7878]) ).
tcf(c_23357,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(join(complement(converse(complement(converse(iPr_def_11)))),X0))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12854,c_12338]) ).
tcf(c_23358,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,complement(converse(complement(converse(iPr_def_11)))))))) = top,
inference(superposition,[status(thm)],[c_12854,c_12338]) ).
tcf(c_23362,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,complement(join(iPr_def_10,complement(iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_12854,c_13165]) ).
tcf(c_23363,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(join(composition(complement(join(iPr_def_11,X2)),top),X0))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_12854,c_13393]) ).
tcf(c_23364,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X1)),top))))) = top,
inference(superposition,[status(thm)],[c_12854,c_13393]) ).
tcf(c_23377,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_23218,c_1671]) ).
tcf(c_23382,plain,
! [X0: $i,X1: $i] : join(X0,join(top,join(X1,zero))) = top,
inference(light_normalisation,[status(thm)],[c_23194,c_107]) ).
tcf(c_23391,plain,
! [X0: $i] : join(complement(iPr_def_12),join(X0,complement(complement(iPr_def_12)))) = top,
inference(light_normalisation,[status(thm)],[c_23362,c_13163]) ).
tcf(c_23394,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,join(X1,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23245,c_50,c_49]) ).
tcf(c_23395,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,join(X1,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_23394,c_107]) ).
tcf(c_23398,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,join(X1,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23240,c_50,c_49]) ).
tcf(c_23399,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_12,join(X0,X1))) = top,
inference(light_normalisation,[status(thm)],[c_23398,c_107,c_9029]) ).
tcf(c_23402,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23201,c_50,c_49]) ).
tcf(c_23404,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,join(X1,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23189,c_50,c_49]) ).
tcf(c_23426,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),join(X1,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23236,c_50,c_49]) ).
tcf(c_23427,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),join(X1,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_23426,c_107]) ).
tcf(c_23431,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),join(X2,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23224,c_50,c_49]) ).
tcf(c_23432,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X0),join(X2,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_23431,c_107]) ).
tcf(c_23434,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,join(X1,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23223,c_50,c_49]) ).
tcf(c_23435,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,X1))) = top,
inference(light_normalisation,[status(thm)],[c_23434,c_107,c_9029]) ).
tcf(c_23438,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,join(X2,complement(top))))) = top,
inference(theory_normalisation,[status(thm)],[c_23186,c_50,c_49]) ).
tcf(c_23439,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X0),join(X1,join(X2,zero)))) = top,
inference(light_normalisation,[status(thm)],[c_23438,c_107]) ).
tcf(c_23440,plain,
! [X0: $i] : join(iPr_def_11,join(X0,complement(join(iPr_def_11,iPr_def_11)))) = top,
inference(light_normalisation,[status(thm)],[c_23358,c_12393]) ).
tcf(c_23441,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,complement(join(one,X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_23337,c_2343]) ).
tcf(c_23444,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23248,c_50,c_49]) ).
tcf(c_23450,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X0,join(X1,join(X2,complement(join(X0,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23230,c_50,c_49]) ).
tcf(c_23452,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,join(X1,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23222,c_50,c_49]) ).
tcf(c_23453,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,join(X1,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23219,c_50,c_49]) ).
tcf(c_23454,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,join(X1,complement(join(X0,iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23216,c_50,c_49]) ).
tcf(c_23459,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,join(X2,complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23203,c_50,c_49]) ).
tcf(c_23460,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,join(X1,join(X2,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_23459,c_107]) ).
tcf(c_23461,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23202,c_50,c_49]) ).
tcf(c_23464,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(converse(iPr_def_10),X0)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_23331,c_19797]) ).
tcf(c_23465,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,converse(join(X1,join(X2,complement(join(converse(X0),X1)))))) = top,
inference(light_normalisation,[status(thm)],[c_23314,c_2343]) ).
tcf(c_23468,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(complement(top),complement(join(X0,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23293,c_50,c_49]) ).
tcf(c_23469,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(zero,complement(join(X0,X1)))))) = top,
inference(light_normalisation,[status(thm)],[c_23468,c_107]) ).
tcf(c_23490,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),join(X2,complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23255,c_50,c_49]) ).
tcf(c_23491,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),join(X2,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_23490,c_107]) ).
tcf(c_23493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),join(X3,complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23254,c_50,c_49]) ).
tcf(c_23494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),join(X3,zero))))) = top,
inference(light_normalisation,[status(thm)],[c_23493,c_107]) ).
tcf(c_23503,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(X1,complement(join(iPr_def_12,X0)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23342,c_11762]) ).
tcf(c_23504,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(join(X0,iPr_def_10)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23330,c_11762]) ).
tcf(c_23505,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,complement(join(iPr_def_10,X0)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23323,c_11762]) ).
tcf(c_23506,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(join(iPr_def_10,X0))))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_23321,c_2343]) ).
tcf(c_23507,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(join(iPr_def_10,X0))))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_23319,c_2343,c_19797]) ).
tcf(c_23508,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(X0,join(X1,complement(join(iPr_def_11,X0)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23309,c_11762]) ).
tcf(c_23509,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,join(X1,complement(join(iPr_def_11,X0))))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_23302,c_2343]) ).
tcf(c_23510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(join(X0,join(X1,X2))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23297,c_50,c_49]) ).
tcf(c_23511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(join(X0,X1)),X3)))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_23294,c_50,c_49]) ).
tcf(c_23513,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(complement(iPr_def_12),join(X1,complement(join(X0,complement(iPr_def_12))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23257,c_50,c_49]) ).
tcf(c_23514,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_12),join(X0,join(X1,complement(join(complement(iPr_def_12),X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23256,c_50,c_49]) ).
tcf(c_23515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,join(X3,complement(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23252,c_50,c_49]) ).
tcf(c_23516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_12,join(X2,join(X3,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_23515,c_107]) ).
tcf(c_23517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,join(X3,complement(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23251,c_50,c_49]) ).
tcf(c_23518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_12,join(X3,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_23517,c_107]) ).
tcf(c_23522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,join(X3,complement(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23228,c_50,c_49]) ).
tcf(c_23523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,join(X2,join(X3,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_23522,c_107]) ).
tcf(c_23524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,join(X3,complement(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23227,c_50,c_49]) ).
tcf(c_23525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,join(iPr_def_11,join(X3,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_23524,c_107]) ).
tcf(c_23536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(join(X1,join(X0,X2))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23179,c_50,c_49]) ).
tcf(c_23541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(top),join(X3,complement(join(X0,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23291,c_50,c_49]) ).
tcf(c_23542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(zero,join(X3,complement(join(X0,X1))))))) = top,
inference(light_normalisation,[status(thm)],[c_23541,c_107]) ).
tcf(c_23543,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(complement(join(X0,X1)),converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23289,c_50,c_49]) ).
tcf(c_23544,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(complement(join(X0,X1)),zero)))) = top,
inference(light_normalisation,[status(thm)],[c_23543,c_107,c_1950,c_2343]) ).
tcf(c_23562,plain,
! [X0: $i,X1: $i] : composition(top,complement(join(iPr_def_10,composition(join(X0,join(X1,complement(join(iPr_def_10,X0)))),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_23322,c_2343]) ).
tcf(c_23563,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(top,complement(join(iPr_def_11,X0))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_23307,c_50,c_49]) ).
tcf(c_23573,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(converse(complement(converse(iPr_def_11)))),join(X1,complement(join(X0,iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23250,c_50,c_49]) ).
tcf(c_23574,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(converse(complement(converse(iPr_def_11)))),join(X0,join(X1,complement(join(iPr_def_11,X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23249,c_50,c_49]) ).
tcf(c_23584,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(composition(complement(join(iPr_def_11,X1)),top),join(X2,complement(join(X0,iPr_def_10)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23265,c_50,c_49]) ).
tcf(c_23585,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(complement(join(iPr_def_11,X0)),top),join(X1,join(X2,complement(join(iPr_def_10,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23264,c_50,c_49]) ).
tcf(c_23588,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,complement(join(iPr_def_10,X1))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23317,c_7015,c_11762]) ).
tcf(c_23595,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(composition(converse(X1),complement(composition(X1,iPr_def_10))),join(X2,complement(join(X0,iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23234,c_50,c_49]) ).
tcf(c_23596,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(converse(X0),complement(composition(X0,iPr_def_10))),join(X1,join(X2,complement(join(iPr_def_11,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23199,c_50,c_49]) ).
tcf(c_23600,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(join(complement(join(iPr_def_11,complement(X2))),X0))))) = join(top,complement(join(X2,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_23318,c_50,c_49]) ).
tcf(c_23601,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(X2,join(iPr_def_11,complement(join(X0,X1)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_23290,c_50,c_49]) ).
tcf(c_23602,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(X2,join(iPr_def_11,complement(join(X0,X1)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_23601,c_107]) ).
tcf(c_23608,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,iPr_def_11)),join(complement(join(iPr_def_11,complement(X0))),join(X1,join(X2,complement(join(iPr_def_10,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23190,c_50,c_49]) ).
tcf(c_23609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(X2,complement(join(composition(converse(X3),complement(composition(X3,X0))),X1))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_23315,c_50,c_49]) ).
tcf(c_23615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),join(X2,join(X3,complement(join(complement(X0),X2)))))) = top,
inference(theory_normalisation,[status(thm)],[c_23187,c_50,c_49]) ).
tcf(c_23616,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X0))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_23320,c_50,c_49]) ).
tcf(c_23617,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(top,complement(composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X0))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_23616,c_2343]) ).
tcf(c_23622,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(complement(join(X1,join(iPr_def_11,complement(join(iPr_def_11,complement(X1)))))),join(X2,complement(join(X0,join(iPr_def_11,complement(X1)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_23235,c_50,c_49]) ).
tcf(c_23651,plain,
join(one,join(one,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_1729,c_7427]) ).
tcf(c_23657,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(complement(one),X1)))) = top,
inference(superposition,[status(thm)],[c_191,c_7427]) ).
tcf(c_23670,plain,
! [X0: $i] : join(one,converse(composition(join(X0,one),complement(one)))) = top,
inference(superposition,[status(thm)],[c_1782,c_7427]) ).
tcf(c_23671,plain,
! [X0: $i] : join(one,converse(composition(join(one,X0),complement(one)))) = top,
inference(superposition,[status(thm)],[c_1767,c_7427]) ).
tcf(c_23680,plain,
join(one,converse(top)) = top,
inference(superposition,[status(thm)],[c_11752,c_7427]) ).
tcf(c_23686,plain,
! [X0: $i] : join(complement(join(one,join(converse(join(complement(one),X0)),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_7427,c_376]) ).
tcf(c_23687,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(complement(one),X0)),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_7427,c_7392]) ).
tcf(c_23689,plain,
! [X0: $i] : join(one,join(converse(join(complement(one),X0)),complement(top))) = top,
inference(superposition,[status(thm)],[c_7427,c_375]) ).
tcf(c_23690,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(complement(one),X0)),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_7427,c_50]) ).
tcf(c_23691,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(complement(one),X1)))) = join(X0,top),
inference(superposition,[status(thm)],[c_7427,c_191]) ).
tcf(c_23693,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(join(converse(one),join(complement(one),X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_7427,c_776]) ).
tcf(c_23695,plain,
! [X0: $i] : join(converse(one),join(complement(one),X0)) = converse(top),
inference(superposition,[status(thm)],[c_7427,c_222]) ).
tcf(c_23697,plain,
! [X0: $i] : join(one,converse(converse(join(complement(one),X0)))) = converse(top),
inference(superposition,[status(thm)],[c_7427,c_1723]) ).
tcf(c_23698,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(join(complement(one),X1)),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_7427,c_1767]) ).
tcf(c_23701,plain,
! [X0: $i] : join(complement(one),join(X0,converse(one))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_23695,c_50,c_49]) ).
tcf(c_23702,plain,
! [X0: $i] : join(complement(one),join(X0,one)) = top,
inference(light_normalisation,[status(thm)],[c_23701,c_1689,c_2343]) ).
tcf(c_23703,plain,
! [X0: $i] : join(one,join(X0,complement(one))) = top,
inference(theory_normalisation,[status(thm)],[c_23702,c_50,c_49]) ).
tcf(c_23707,plain,
! [X0: $i] : join(one,converse(converse(join(complement(one),X0)))) = top,
inference(light_normalisation,[status(thm)],[c_23697,c_2343]) ).
tcf(c_23708,plain,
! [X0: $i] : join(one,join(complement(top),converse(join(complement(one),X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_23689,c_50,c_49]) ).
tcf(c_23710,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(complement(one),X1)))) = top,
inference(light_normalisation,[status(thm)],[c_23691,c_7015]) ).
tcf(c_23711,plain,
! [X0: $i,X1: $i] : join(one,join(complement(top),join(X0,converse(join(complement(one),X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_23687,c_50,c_49]) ).
tcf(c_23712,plain,
! [X0: $i,X1: $i] : join(one,join(zero,join(X0,converse(join(complement(one),X1))))) = top,
inference(light_normalisation,[status(thm)],[c_23711,c_107]) ).
tcf(c_23716,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(join(complement(one),join(X0,converse(one))),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_23693,c_50,c_49]) ).
tcf(c_23717,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(join(complement(one),join(X0,one)),iPr_def_10)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_23716,c_1689]) ).
tcf(c_23718,plain,
! [X0: $i] : join(iPr_def_11,composition(top,complement(composition(join(one,join(X0,complement(one))),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_23717,c_50,c_49]) ).
tcf(c_23719,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(one,converse(join(complement(one),X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_23686,c_50,c_49]) ).
tcf(c_23730,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(X1,top)) = composition(join(X1,composition(X0,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_49,c_22679]) ).
tcf(c_23733,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(composition(X1,iPr_def_10),top)) = composition(composition(join(X0,X1),iPr_def_10),top),
inference(superposition,[status(thm)],[c_54,c_22679]) ).
tcf(c_23734,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(complement(composition(X0,iPr_def_10)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_59,c_22679]) ).
tcf(c_23735,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,X2),top)) = composition(join(X1,join(composition(X0,iPr_def_10),X2)),top),
inference(superposition,[status(thm)],[c_191,c_22679]) ).
tcf(c_23736,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,complement(join(composition(X0,iPr_def_10),X1))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_375,c_22679]) ).
tcf(c_23737,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(complement(composition(X0,iPr_def_10)),X1),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7124,c_22679]) ).
tcf(c_23738,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(top,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7015,c_22679]) ).
tcf(c_23739,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(zero,top)) = composition(composition(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_1429,c_22679]) ).
tcf(c_23740,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(converse(complement(converse(composition(X0,iPr_def_10)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_2345,c_22679]) ).
tcf(c_23741,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,converse(complement(converse(join(composition(X0,iPr_def_10),X1))))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9717,c_22679]) ).
tcf(c_23742,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(converse(complement(converse(composition(X0,iPr_def_10)))),X1),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21130,c_22679]) ).
tcf(c_23743,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(composition(X0,iPr_def_10),top)) = composition(composition(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_7769,c_22679]) ).
tcf(c_23744,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(composition(X1,composition(X0,iPr_def_10)),top)) = composition(composition(join(X1,one),composition(X0,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_1782,c_22679]) ).
tcf(c_23745,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(composition(X1,composition(X0,iPr_def_10)),top)) = composition(composition(join(one,X1),composition(X0,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_1767,c_22679]) ).
tcf(c_23746,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,complement(composition(X0,iPr_def_10))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7426,c_22679]) ).
tcf(c_23747,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(complement(join(composition(X0,iPr_def_10),X1)),X2)),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_7392,c_22679]) ).
tcf(c_23748,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(composition(converse(X1),complement(composition(X1,complement(composition(X0,iPr_def_10))))),top)) = composition(composition(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_7774,c_22679]) ).
tcf(c_23749,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(composition(X0,iPr_def_10),X1),top)) = composition(join(composition(X0,iPr_def_10),X1),top),
inference(superposition,[status(thm)],[c_7878,c_22679]) ).
tcf(c_23750,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,converse(complement(converse(composition(X0,iPr_def_10))))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_21139,c_22679]) ).
tcf(c_23751,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(composition(complement(one),composition(X0,iPr_def_10)),top)) = composition(composition(top,composition(X0,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_11631,c_22679]) ).
tcf(c_23752,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(composition(top,complement(composition(X0,iPr_def_10))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_11752,c_22679]) ).
tcf(c_23753,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(X2,complement(join(composition(X0,iPr_def_10),X1)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12854,c_22679]) ).
tcf(c_23754,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(X2,complement(composition(X0,iPr_def_10)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_12833,c_22679]) ).
tcf(c_23755,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_10)),composition(X2,top)) = composition(join(composition(X0,composition(X1,iPr_def_10)),X2),top),
inference(superposition,[status(thm)],[c_52,c_22679]) ).
tcf(c_23758,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(X0,iPr_def_10)),composition(X1,top)) = composition(join(join(iPr_def_10,composition(X0,iPr_def_10)),X1),top),
inference(superposition,[status(thm)],[c_1767,c_22679]) ).
tcf(c_23774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(composition(X1,iPr_def_10),composition(X2,top))),composition(X3,top)) = composition(join(composition(X0,join(composition(X1,iPr_def_10),X2)),X3),top),
inference(superposition,[status(thm)],[c_22679,c_388]) ).
tcf(c_23775,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(composition(X1,iPr_def_10),composition(X2,top))),complement(composition(join(composition(X1,iPr_def_10),X2),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_22679,c_385]) ).
tcf(c_23776,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(composition(X0,iPr_def_10),composition(X1,top))),complement(composition(join(composition(X0,iPr_def_10),X1),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_22679,c_433]) ).
tcf(c_23777,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),composition(X2,top)) = composition(join(join(composition(X0,iPr_def_10),X1),X2),top),
inference(superposition,[status(thm)],[c_22679,c_54]) ).
tcf(c_23778,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,iPr_def_10),composition(X1,top)),X2) = composition(join(composition(X0,iPr_def_10),X1),composition(top,X2)),
inference(superposition,[status(thm)],[c_22679,c_52]) ).
tcf(c_23779,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(composition(X1,iPr_def_10),composition(X2,top))) = composition(join(X0,join(composition(X1,iPr_def_10),X2)),top),
inference(superposition,[status(thm)],[c_22679,c_54]) ).
tcf(c_23780,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X2)) = join(complement(top),X2),
inference(superposition,[status(thm)],[c_22679,c_362]) ).
tcf(c_23781,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X0,iPr_def_10),composition(X1,top))))) = complement(top),
inference(superposition,[status(thm)],[c_22679,c_76]) ).
tcf(c_23782,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(composition(X0,iPr_def_10),X1),iPr_def_10))),complement(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top)))))) = zero,
inference(superposition,[status(thm)],[c_22679,c_18823]) ).
tcf(c_23783,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(composition(X0,iPr_def_10),X1),iPr_def_10))),complement(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top)))))) = zero,
inference(superposition,[status(thm)],[c_22679,c_18222]) ).
tcf(c_23784,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,join(composition(X0,iPr_def_10),X1)))) = converse(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(superposition,[status(thm)],[c_22679,c_16911]) ).
tcf(c_23785,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(composition(X0,iPr_def_10),X1))) = converse(join(composition(X0,iPr_def_10),composition(X1,top))),
inference(superposition,[status(thm)],[c_22679,c_2354]) ).
tcf(c_23786,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))),X2) = composition(join(iPr_def_10,join(composition(X0,iPr_def_10),X1)),composition(top,X2)),
inference(superposition,[status(thm)],[c_22679,c_445]) ).
tcf(c_23787,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,join(composition(X0,iPr_def_10),X1))),complement(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_22679,c_9562]) ).
tcf(c_23788,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X0,iPr_def_10),composition(X1,top)))) = zero,
inference(superposition,[status(thm)],[c_22679,c_9545]) ).
tcf(c_23789,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(converse(composition(X0,join(composition(X1,iPr_def_10),X2))),complement(composition(X0,join(composition(X1,iPr_def_10),composition(X2,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_22679,c_385]) ).
tcf(c_23790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,top)),join(composition(X2,iPr_def_10),composition(X3,top))) = composition(join(composition(X0,X1),join(composition(X2,iPr_def_10),X3)),top),
inference(superposition,[status(thm)],[c_22679,c_388]) ).
tcf(c_23791,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(iPr_def_11,top)) = join(iPr_def_12,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_22679,c_402]) ).
tcf(c_23792,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(iPr_def_10,top)) = join(iPr_def_10,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_22679,c_401]) ).
tcf(c_23793,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(iPr_def_10,X1),top)) = join(iPr_def_10,composition(join(composition(X0,iPr_def_10),X1),top)),
inference(superposition,[status(thm)],[c_22679,c_9109]) ).
tcf(c_23794,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(one,top)) = join(top,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_22679,c_1782]) ).
tcf(c_23795,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(iPr_def_12,top)) = join(iPr_def_12,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_22679,c_11846]) ).
tcf(c_23796,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),top) = top,
inference(light_normalisation,[status(thm)],[c_23738,c_11762]) ).
tcf(c_23797,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(complement(composition(X0,iPr_def_10)),top)) = top,
inference(light_normalisation,[status(thm)],[c_23734,c_11762]) ).
tcf(c_23798,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(X0,iPr_def_10),top)) = join(composition(X0,iPr_def_10),iPr_def_12),
inference(light_normalisation,[status(thm)],[c_23795,c_11779]) ).
tcf(c_23799,plain,
! [X0: $i] : join(iPr_def_12,composition(composition(X0,iPr_def_10),top)) = join(iPr_def_12,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_23798,c_50,c_49]) ).
tcf(c_23800,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(X0,iPr_def_10),top)) = join(composition(X0,iPr_def_10),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_23792,c_193]) ).
tcf(c_23801,plain,
! [X0: $i] : join(iPr_def_10,composition(composition(X0,iPr_def_10),top)) = join(iPr_def_10,composition(X0,iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_23800,c_50,c_49]) ).
tcf(c_23804,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(composition(top,complement(composition(X0,iPr_def_10))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23752,c_11762]) ).
tcf(c_23805,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,complement(composition(X0,iPr_def_10))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23746,c_11762]) ).
tcf(c_23806,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(converse(complement(converse(composition(X0,iPr_def_10)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23740,c_11762]) ).
tcf(c_23807,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(complement(composition(X0,iPr_def_10)),X1),top)) = top,
inference(light_normalisation,[status(thm)],[c_23737,c_11762]) ).
tcf(c_23808,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(X2,complement(composition(X0,iPr_def_10)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23754,c_11762]) ).
tcf(c_23809,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,converse(complement(converse(composition(X0,iPr_def_10))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23750,c_11762]) ).
tcf(c_23810,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(converse(complement(converse(composition(X0,iPr_def_10)))),X1),top)) = top,
inference(light_normalisation,[status(thm)],[c_23742,c_11762]) ).
tcf(c_23811,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,complement(join(composition(X0,iPr_def_10),X1))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23736,c_11762]) ).
tcf(c_23812,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(iPr_def_10,X1),top)) = join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))),
inference(light_normalisation,[status(thm)],[c_23793,c_22679]) ).
tcf(c_23813,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))) = composition(join(iPr_def_10,join(composition(X0,iPr_def_10),X1)),top),
inference(theory_normalisation,[status(thm)],[c_23758,c_50,c_49]) ).
tcf(c_23814,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),join(composition(X0,iPr_def_10),composition(X1,top))) = join(composition(X0,iPr_def_10),composition(X1,top)),
inference(light_normalisation,[status(thm)],[c_23749,c_22679]) ).
tcf(c_23815,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(X2,complement(join(composition(X0,iPr_def_10),X1)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23753,c_11762]) ).
tcf(c_23816,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(complement(join(composition(X0,iPr_def_10),X1)),X2)),top)) = top,
inference(light_normalisation,[status(thm)],[c_23747,c_11762]) ).
tcf(c_23817,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,converse(complement(converse(join(composition(X0,iPr_def_10),X1))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_23741,c_11762]) ).
tcf(c_23818,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X0,iPr_def_10),composition(X1,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_23781,c_107]) ).
tcf(c_23819,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),composition(X2,top))) = composition(join(composition(X0,iPr_def_10),join(X1,X2)),top),
inference(theory_normalisation,[status(thm)],[c_23777,c_50,c_49]) ).
tcf(c_23820,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(converse(composition(X0,join(composition(X1,iPr_def_10),X2))),complement(composition(X0,join(composition(X1,iPr_def_10),composition(X2,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_23789,c_107]) ).
tcf(c_23821,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,composition(X1,iPr_def_10))))),complement(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_23783,c_50,c_49]) ).
tcf(c_23822,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,join(X0,composition(X1,iPr_def_10))))),complement(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_23782,c_50,c_49]) ).
tcf(c_23823,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X2)) = join(zero,X2),
inference(light_normalisation,[status(thm)],[c_23780,c_107]) ).
tcf(c_23856,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(X1,X2),top)) = composition(join(X1,join(X2,composition(X0,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_50,c_23730]) ).
tcf(c_23857,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(composition(X1,iPr_def_10),top)) = composition(composition(join(X1,X0),iPr_def_10),top),
inference(superposition,[status(thm)],[c_54,c_23730]) ).
tcf(c_23860,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(composition(X1,composition(X2,iPr_def_10)),top)) = composition(composition(join(composition(X1,X2),X0),iPr_def_10),top),
inference(superposition,[status(thm)],[c_388,c_23730]) ).
tcf(c_23862,plain,
join(composition(complement(one),iPr_def_10),composition(iPr_def_10,top)) = composition(composition(top,iPr_def_10),top),
inference(superposition,[status(thm)],[c_11631,c_23730]) ).
tcf(c_23863,plain,
join(composition(top,iPr_def_10),composition(complement(iPr_def_10),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_14135,c_23730]) ).
tcf(c_23864,plain,
join(composition(top,iPr_def_10),composition(iPr_def_11,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_14138,c_23730]) ).
tcf(c_23865,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(X1,iPr_def_10)),composition(X2,top)) = composition(join(X2,composition(X0,composition(X1,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_52,c_23730]) ).
tcf(c_23868,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(X0,iPr_def_10)),composition(X1,top)) = composition(join(X1,join(iPr_def_10,composition(X0,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_1767,c_23730]) ).
tcf(c_23884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(composition(X1,iPr_def_10),composition(X2,top))),composition(X3,top)) = composition(join(composition(X0,join(X2,composition(X1,iPr_def_10))),X3),top),
inference(superposition,[status(thm)],[c_23730,c_388]) ).
tcf(c_23885,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(composition(X1,iPr_def_10),composition(X2,top))),complement(composition(join(X2,composition(X1,iPr_def_10)),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_23730,c_385]) ).
tcf(c_23886,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(composition(X0,iPr_def_10),composition(X1,top))),complement(composition(join(X1,composition(X0,iPr_def_10)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23730,c_433]) ).
tcf(c_23887,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),composition(X2,top)) = composition(join(join(X1,composition(X0,iPr_def_10)),X2),top),
inference(superposition,[status(thm)],[c_23730,c_54]) ).
tcf(c_23888,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,iPr_def_10),composition(X1,top)),X2) = composition(join(X1,composition(X0,iPr_def_10)),composition(top,X2)),
inference(superposition,[status(thm)],[c_23730,c_52]) ).
tcf(c_23889,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(composition(X1,iPr_def_10),composition(X2,top))) = composition(join(X0,join(X2,composition(X1,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_23730,c_54]) ).
tcf(c_23890,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(X0,top)))),X2)) = join(complement(top),X2),
inference(superposition,[status(thm)],[c_23730,c_362]) ).
tcf(c_23891,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(X0,top))))) = complement(top),
inference(superposition,[status(thm)],[c_23730,c_76]) ).
tcf(c_23892,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(X0,composition(X1,iPr_def_10)),iPr_def_10))),complement(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_23730,c_18823]) ).
tcf(c_23893,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(X0,composition(X1,iPr_def_10)),iPr_def_10))),complement(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top)))))) = zero,
inference(superposition,[status(thm)],[c_23730,c_18222]) ).
tcf(c_23894,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,join(X0,composition(X1,iPr_def_10))))) = converse(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top)))),
inference(superposition,[status(thm)],[c_23730,c_16911]) ).
tcf(c_23895,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(X0,composition(X1,iPr_def_10)))) = converse(join(composition(X1,iPr_def_10),composition(X0,top))),
inference(superposition,[status(thm)],[c_23730,c_2354]) ).
tcf(c_23896,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))),X2) = composition(join(iPr_def_10,join(X1,composition(X0,iPr_def_10))),composition(top,X2)),
inference(superposition,[status(thm)],[c_23730,c_445]) ).
tcf(c_23897,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,join(X0,composition(X1,iPr_def_10)))),complement(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top))))) = zero,
inference(superposition,[status(thm)],[c_23730,c_9562]) ).
tcf(c_23898,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_23730,c_9545]) ).
tcf(c_23899,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(converse(composition(X0,join(X1,composition(X2,iPr_def_10)))),complement(composition(X0,join(composition(X2,iPr_def_10),composition(X1,top)))))) = complement(top),
inference(superposition,[status(thm)],[c_23730,c_385]) ).
tcf(c_23900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,top)),join(composition(X2,iPr_def_10),composition(X3,top))) = composition(join(composition(X0,X1),join(X3,composition(X2,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_23730,c_388]) ).
tcf(c_23905,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(composition(X1,iPr_def_10),top)) = join(composition(X1,iPr_def_10),composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_23730,c_22679]) ).
tcf(c_23906,plain,
join(composition(iPr_def_11,top),composition(top,iPr_def_10)) = composition(top,top),
inference(theory_normalisation,[status(thm)],[c_23864,c_50,c_49]) ).
tcf(c_23907,plain,
join(iPr_def_12,composition(top,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_23906,c_116,c_11762]) ).
tcf(c_23908,plain,
join(composition(top,iPr_def_10),iPr_def_12) = top,
inference(light_normalisation,[status(thm)],[c_23863,c_116,c_192,c_11762]) ).
tcf(c_23910,plain,
join(composition(iPr_def_10,top),composition(complement(one),iPr_def_10)) = composition(composition(top,iPr_def_10),top),
inference(theory_normalisation,[status(thm)],[c_23862,c_50,c_49]) ).
tcf(c_23911,plain,
join(iPr_def_10,composition(complement(one),iPr_def_10)) = composition(composition(top,iPr_def_10),top),
inference(light_normalisation,[status(thm)],[c_23910,c_193]) ).
tcf(c_23913,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))) = composition(join(X1,join(iPr_def_10,composition(X0,iPr_def_10))),top),
inference(theory_normalisation,[status(thm)],[c_23868,c_50,c_49]) ).
tcf(c_23914,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(X0,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_23891,c_107]) ).
tcf(c_23915,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),composition(X2,top))) = composition(join(X1,join(composition(X0,iPr_def_10),X2)),top),
inference(theory_normalisation,[status(thm)],[c_23887,c_50,c_49]) ).
tcf(c_23916,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),composition(X2,top))) = join(composition(X0,iPr_def_10),composition(join(X1,X2),top)),
inference(light_normalisation,[status(thm)],[c_23915,c_23735,c_23819]) ).
tcf(c_23917,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(composition(join(X1,composition(X0,iPr_def_10)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_23886,c_23785]) ).
tcf(c_23918,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(converse(composition(X0,join(X1,composition(X2,iPr_def_10)))),complement(composition(X0,join(composition(X2,iPr_def_10),composition(X1,top)))))) = zero,
inference(light_normalisation,[status(thm)],[c_23899,c_107]) ).
tcf(c_23919,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,composition(X1,iPr_def_10))))),complement(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_23893,c_50,c_49]) ).
tcf(c_23920,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,composition(X1,iPr_def_10))))),complement(join(iPr_def_10,join(composition(X1,iPr_def_10),composition(X0,top)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_23892,c_50,c_49]) ).
tcf(c_23921,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(X0,top)))),X2)) = join(zero,X2),
inference(light_normalisation,[status(thm)],[c_23890,c_107]) ).
tcf(c_23956,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(X2,converse(X1))) = composition(join(converse(converse(X0)),X2),converse(X1)),
inference(superposition,[status(thm)],[c_225,c_390]) ).
tcf(c_23957,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),composition(X2,converse(converse(X1)))) = composition(join(converse(X0),X2),converse(converse(X1))),
inference(superposition,[status(thm)],[c_226,c_390]) ).
tcf(c_23958,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),top),composition(X1,converse(top))) = composition(join(converse(X0),X1),converse(top)),
inference(superposition,[status(thm)],[c_2357,c_390]) ).
tcf(c_23959,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(X0)),composition(X1,converse(X0))) = composition(join(converse(top),X1),converse(X0)),
inference(superposition,[status(thm)],[c_2354,c_390]) ).
tcf(c_23960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(X0,composition(X1,X2))),composition(X3,converse(composition(X0,X1)))) = composition(join(converse(X2),X3),converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_52,c_390]) ).
tcf(c_23961,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(X0))) = composition(join(converse(one),X1),converse(X0)),
inference(superposition,[status(thm)],[c_53,c_390]) ).
tcf(c_23962,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(composition(X0,X1))),composition(X2,converse(converse(X1)))) = composition(join(converse(converse(X0)),X2),converse(converse(X1))),
inference(superposition,[status(thm)],[c_57,c_390]) ).
tcf(c_23963,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = composition(join(converse(top),X0),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_116,c_390]) ).
tcf(c_23964,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))) = composition(join(converse(top),X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_193,c_390]) ).
tcf(c_23965,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(composition(X0,top))),X1),converse(converse(X0))) = join(converse(zero),composition(X1,converse(converse(X0)))),
inference(superposition,[status(thm)],[c_9545,c_390]) ).
tcf(c_23966,plain,
! [X0: $i] : composition(join(converse(complement(iPr_def_12)),X0),converse(converse(iPr_def_11))) = join(converse(zero),composition(X0,converse(converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_1359,c_390]) ).
tcf(c_23967,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_10)))) = composition(join(converse(iPr_def_11),X0),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_1360,c_390]) ).
tcf(c_23968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(converse(composition(X0,X1)),X2)),composition(X3,converse(converse(X1)))) = composition(join(converse(composition(converse(X0),X2)),X3),converse(converse(X1))),
inference(superposition,[status(thm)],[c_381,c_390]) ).
tcf(c_23969,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_12,X0)),composition(X1,converse(iPr_def_11))) = composition(join(converse(composition(top,X0)),X1),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_382,c_390]) ).
tcf(c_23970,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_10,X0)),composition(X1,converse(iPr_def_10))) = composition(join(converse(composition(top,X0)),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_383,c_390]) ).
tcf(c_23971,plain,
! [X0: $i,X1: $i] : join(converse(join(iPr_def_12,composition(X0,top))),composition(X1,converse(join(iPr_def_11,X0)))) = composition(join(converse(top),X1),converse(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_391,c_390]) ).
tcf(c_23972,plain,
! [X0: $i,X1: $i] : join(converse(join(iPr_def_10,composition(X0,top))),composition(X1,converse(join(iPr_def_10,X0)))) = composition(join(converse(top),X1),converse(join(iPr_def_10,X0))),
inference(superposition,[status(thm)],[c_392,c_390]) ).
tcf(c_23973,plain,
! [X0: $i,X1: $i] : join(converse(join(iPr_def_12,composition(X0,top))),composition(X1,converse(join(X0,iPr_def_11)))) = composition(join(converse(top),X1),converse(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_402,c_390]) ).
tcf(c_23974,plain,
! [X0: $i,X1: $i] : join(converse(join(iPr_def_10,composition(X0,top))),composition(X1,converse(join(X0,iPr_def_10)))) = composition(join(converse(top),X1),converse(join(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_401,c_390]) ).
tcf(c_23975,plain,
! [X0: $i] : join(converse(top),composition(X0,converse(top))) = composition(join(converse(top),X0),converse(top)),
inference(superposition,[status(thm)],[c_11762,c_390]) ).
tcf(c_23976,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(iPr_def_10,X0),composition(top,X1))),composition(X2,converse(join(iPr_def_10,composition(X0,top))))) = composition(join(converse(X1),X2),converse(join(iPr_def_10,composition(X0,top)))),
inference(superposition,[status(thm)],[c_445,c_390]) ).
tcf(c_23977,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(iPr_def_10,composition(join(X0,X1),top))),composition(X2,converse(join(X0,join(iPr_def_10,X1))))) = composition(join(converse(top),X2),converse(join(X0,join(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_9109,c_390]) ).
tcf(c_23978,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(join(iPr_def_10,composition(X0,top)))),X1),converse(converse(join(iPr_def_10,X0)))) = join(converse(zero),composition(X1,converse(converse(join(iPr_def_10,X0))))),
inference(superposition,[status(thm)],[c_9562,c_390]) ).
tcf(c_23979,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(one))) = composition(join(converse(X0),X1),converse(one)),
inference(superposition,[status(thm)],[c_1708,c_390]) ).
tcf(c_23980,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))) = composition(join(converse(top),X0),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11779,c_390]) ).
tcf(c_23981,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_11)),composition(X1,converse(join(converse(iPr_def_10),X0)))) = composition(join(converse(iPr_def_11),X1),converse(join(converse(iPr_def_10),X0))),
inference(superposition,[status(thm)],[c_16856,c_390]) ).
tcf(c_23982,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(X1))) = composition(join(converse(zero),X0),converse(X1)),
inference(superposition,[status(thm)],[c_8201,c_390]) ).
tcf(c_23983,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,composition(X1,X0))),composition(X2,converse(join(one,X1)))) = composition(join(converse(X0),X2),converse(join(one,X1))),
inference(superposition,[status(thm)],[c_1767,c_390]) ).
tcf(c_23984,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(X0,composition(X1,X0))),composition(X2,converse(join(X1,one)))) = composition(join(converse(X0),X2),converse(join(X1,one))),
inference(superposition,[status(thm)],[c_1782,c_390]) ).
tcf(c_23985,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),converse(zero)) = join(converse(zero),composition(X1,converse(zero))),
inference(superposition,[status(thm)],[c_8217,c_390]) ).
tcf(c_23986,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_11,X0)),X1),converse(converse(iPr_def_10))) = join(converse(zero),composition(X1,converse(converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_8222,c_390]) ).
tcf(c_23987,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_11)),composition(X1,converse(join(X0,converse(iPr_def_10))))) = composition(join(converse(iPr_def_11),X1),converse(join(X0,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_16858,c_390]) ).
tcf(c_23988,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_11)))) = composition(join(converse(iPr_def_10),X0),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_3196,c_390]) ).
tcf(c_23989,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(complement(iPr_def_12),X0)),X1),converse(converse(iPr_def_11))) = join(converse(zero),composition(X1,converse(converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_12534,c_390]) ).
tcf(c_23990,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(complement(iPr_def_12))))) = composition(join(converse(iPr_def_11),X0),converse(converse(complement(iPr_def_12)))),
inference(superposition,[status(thm)],[c_2775,c_390]) ).
tcf(c_23991,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(converse(iPr_def_11),X0)))) = composition(join(converse(iPr_def_10),X1),converse(join(converse(iPr_def_11),X0))),
inference(superposition,[status(thm)],[c_18471,c_390]) ).
tcf(c_23992,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),converse(converse(iPr_def_11))) = join(converse(zero),composition(X1,converse(converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_8221,c_390]) ).
tcf(c_23993,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(X0,converse(iPr_def_11))))) = composition(join(converse(iPr_def_10),X1),converse(join(X0,converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_18473,c_390]) ).
tcf(c_23994,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_11,X0)),X1),converse(converse(complement(iPr_def_12)))) = join(converse(zero),composition(X1,converse(converse(complement(iPr_def_12))))),
inference(superposition,[status(thm)],[c_12795,c_390]) ).
tcf(c_23995,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_10)))) = composition(join(converse(iPr_def_12),X0),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_7055,c_390]) ).
tcf(c_23996,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_12,X0)),X1),converse(converse(iPr_def_10))) = join(converse(zero),composition(X1,converse(converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_8911,c_390]) ).
tcf(c_23997,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_11,X1))))) = composition(join(converse(iPr_def_10),X0),converse(converse(composition(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_13261,c_390]) ).
tcf(c_23998,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_12)),composition(X1,converse(join(converse(iPr_def_10),X0)))) = composition(join(converse(iPr_def_12),X1),converse(join(converse(iPr_def_10),X0))),
inference(superposition,[status(thm)],[c_20452,c_390]) ).
tcf(c_23999,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_12)),composition(X1,converse(join(X0,converse(iPr_def_10))))) = composition(join(converse(iPr_def_12),X1),converse(join(X0,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_20454,c_390]) ).
tcf(c_24000,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_12)))) = composition(join(converse(iPr_def_10),X0),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_7459,c_390]) ).
tcf(c_24001,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_10,X1))))) = composition(join(converse(iPr_def_11),X0),converse(converse(composition(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_12931,c_390]) ).
tcf(c_24002,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(converse(iPr_def_12),X0)))) = composition(join(converse(iPr_def_10),X1),converse(join(converse(iPr_def_12),X0))),
inference(superposition,[status(thm)],[c_20661,c_390]) ).
tcf(c_24003,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),converse(converse(iPr_def_12))) = join(converse(zero),composition(X1,converse(converse(iPr_def_12)))),
inference(superposition,[status(thm)],[c_8927,c_390]) ).
tcf(c_24004,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(X0,converse(iPr_def_12))))) = composition(join(converse(iPr_def_10),X1),converse(join(X0,converse(iPr_def_12)))),
inference(superposition,[status(thm)],[c_20664,c_390]) ).
tcf(c_24005,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_12,X1))))) = composition(join(converse(iPr_def_10),X0),converse(converse(composition(iPr_def_12,X1)))),
inference(superposition,[status(thm)],[c_8919,c_390]) ).
tcf(c_24006,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_10,X1))))) = composition(join(converse(iPr_def_12),X0),converse(converse(composition(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_8938,c_390]) ).
tcf(c_24007,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(composition(converse(X0),top))),X1),converse(X0)) = join(converse(zero),composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_9546,c_390]) ).
tcf(c_24008,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_12)))) = composition(join(converse(top),X0),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_18563,c_390]) ).
tcf(c_24009,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(converse(iPr_def_10)))) = composition(join(converse(top),X0),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_19820,c_390]) ).
tcf(c_24010,plain,
! [X0: $i,X1: $i] : join(converse(join(iPr_def_12,composition(X0,top))),composition(X1,converse(join(iPr_def_12,X0)))) = composition(join(converse(top),X1),converse(join(iPr_def_12,X0))),
inference(superposition,[status(thm)],[c_11839,c_390]) ).
tcf(c_24011,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(complement(iPr_def_12)))) = composition(join(converse(top),X0),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_15143,c_390]) ).
tcf(c_24012,plain,
! [X0: $i,X1: $i] : join(converse(join(iPr_def_12,composition(X0,top))),composition(X1,converse(join(X0,iPr_def_12)))) = composition(join(converse(top),X1),converse(join(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_11846,c_390]) ).
tcf(c_24013,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(top))) = composition(join(converse(iPr_def_12),X0),converse(top)),
inference(superposition,[status(thm)],[c_19797,c_390]) ).
tcf(c_24014,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_12,X0)),composition(X1,converse(iPr_def_12))) = composition(join(converse(composition(top,X0)),X1),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11840,c_390]) ).
tcf(c_24015,plain,
! [X0: $i] : composition(join(converse(complement(iPr_def_12)),X0),converse(converse(iPr_def_12))) = join(converse(zero),composition(X0,converse(converse(iPr_def_12)))),
inference(superposition,[status(thm)],[c_11843,c_390]) ).
tcf(c_24016,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(complement(iPr_def_12))))) = composition(join(converse(iPr_def_12),X0),converse(converse(complement(iPr_def_12)))),
inference(superposition,[status(thm)],[c_12194,c_390]) ).
tcf(c_24017,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_11)))) = composition(join(converse(top),X0),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_18545,c_390]) ).
tcf(c_24018,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_10,X0)),composition(X1,converse(complement(iPr_def_12)))) = composition(join(converse(composition(top,X0)),X1),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_15252,c_390]) ).
tcf(c_24019,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_11)),composition(X1,converse(converse(join(iPr_def_10,X0))))) = composition(join(converse(iPr_def_11),X1),converse(converse(join(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_16861,c_390]) ).
tcf(c_24020,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(complement(converse(iPr_def_10))))) = composition(join(converse(iPr_def_11),X0),converse(complement(converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_16862,c_390]) ).
tcf(c_24021,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,one)))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,one))),
inference(superposition,[status(thm)],[c_17551,c_390]) ).
tcf(c_24022,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(one,X1)))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(one,X1))),
inference(superposition,[status(thm)],[c_17550,c_390]) ).
tcf(c_24023,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(top))) = composition(join(converse(converse(iPr_def_10)),X0),converse(top)),
inference(superposition,[status(thm)],[c_16909,c_390]) ).
tcf(c_24024,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,converse(top))) = composition(join(converse(converse(iPr_def_11)),X0),converse(top)),
inference(superposition,[status(thm)],[c_16908,c_390]) ).
tcf(c_24025,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,converse(top))) = composition(join(converse(converse(iPr_def_12)),X0),converse(top)),
inference(superposition,[status(thm)],[c_16918,c_390]) ).
tcf(c_24026,plain,
! [X0: $i] : composition(join(converse(converse(complement(iPr_def_12))),X0),converse(top)) = join(converse(converse(iPr_def_10)),composition(X0,converse(top))),
inference(superposition,[status(thm)],[c_16923,c_390]) ).
tcf(c_24027,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(iPr_def_12),X0)),composition(X1,converse(top))) = composition(join(converse(composition(converse(iPr_def_11),X0)),X1),converse(top)),
inference(superposition,[status(thm)],[c_16989,c_390]) ).
tcf(c_24028,plain,
! [X0: $i] : join(converse(composition(iPr_def_10,converse(iPr_def_11))),composition(X0,converse(iPr_def_10))) = composition(join(converse(converse(iPr_def_12)),X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17002,c_390]) ).
tcf(c_24029,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(converse(iPr_def_10)))) = composition(join(converse(iPr_def_10),X0),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_19078,c_390]) ).
tcf(c_24030,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(iPr_def_10),X0)),composition(X1,converse(top))) = composition(join(converse(composition(converse(iPr_def_10),X0)),X1),converse(top)),
inference(superposition,[status(thm)],[c_17014,c_390]) ).
tcf(c_24031,plain,
! [X0: $i] : join(converse(composition(iPr_def_10,converse(iPr_def_10))),composition(X0,converse(complement(iPr_def_12)))) = composition(join(converse(converse(iPr_def_10)),X0),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17023,c_390]) ).
tcf(c_24032,plain,
! [X0: $i] : join(converse(composition(iPr_def_11,converse(iPr_def_10))),composition(X0,converse(iPr_def_12))) = composition(join(converse(converse(iPr_def_10)),X0),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_17025,c_390]) ).
tcf(c_24033,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_10,composition(converse(iPr_def_11),X0))),composition(X1,converse(iPr_def_10))) = composition(join(converse(composition(converse(iPr_def_12),X0)),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17451,c_390]) ).
tcf(c_24034,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_11)),composition(X1,converse(converse(join(X0,iPr_def_10))))) = composition(join(converse(iPr_def_11),X1),converse(converse(join(X0,iPr_def_10)))),
inference(superposition,[status(thm)],[c_17287,c_390]) ).
tcf(c_24035,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_11)))) = composition(join(converse(iPr_def_11),X0),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_17362,c_390]) ).
tcf(c_24036,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_12)))) = composition(join(converse(iPr_def_11),X0),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_17360,c_390]) ).
tcf(c_24037,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(iPr_def_12),X0)),composition(X1,converse(top))) = composition(join(converse(composition(converse(iPr_def_12),X0)),X1),converse(top)),
inference(superposition,[status(thm)],[c_17470,c_390]) ).
tcf(c_24038,plain,
! [X0: $i] : join(converse(composition(iPr_def_10,converse(iPr_def_10))),composition(X0,converse(iPr_def_10))) = composition(join(converse(converse(complement(iPr_def_12))),X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17508,c_390]) ).
tcf(c_24039,plain,
! [X0: $i,X1: $i] : join(converse(converse(composition(X0,iPr_def_10))),composition(X1,converse(top))) = composition(join(converse(converse(composition(X0,iPr_def_10))),X1),converse(top)),
inference(superposition,[status(thm)],[c_17604,c_390]) ).
tcf(c_24040,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,one))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_17745,c_390]) ).
tcf(c_24041,plain,
! [X0: $i,X1: $i] : join(converse(converse(composition(X0,iPr_def_12))),composition(X1,converse(top))) = composition(join(converse(converse(composition(X0,iPr_def_12))),X1),converse(top)),
inference(superposition,[status(thm)],[c_17788,c_390]) ).
tcf(c_24042,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,iPr_def_11))),X0),converse(iPr_def_12)) = join(converse(zero),composition(X0,converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_19198,c_390]) ).
tcf(c_24043,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_11)))) = composition(join(converse(iPr_def_12),X0),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_20581,c_390]) ).
tcf(c_24044,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,iPr_def_11))),X0),converse(iPr_def_11)) = join(converse(zero),composition(X0,converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_390]) ).
tcf(c_24045,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),X1),converse(top)) = join(converse(zero),composition(X1,converse(top))),
inference(superposition,[status(thm)],[c_18222,c_390]) ).
tcf(c_24046,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),X1),converse(iPr_def_10)) = join(converse(zero),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_18823,c_390]) ).
tcf(c_24047,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_10)),composition(X1,converse(converse(join(iPr_def_11,X0))))) = composition(join(converse(iPr_def_10),X1),converse(converse(join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_18476,c_390]) ).
tcf(c_24048,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(complement(converse(iPr_def_11))))) = composition(join(converse(iPr_def_10),X0),converse(complement(converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_18477,c_390]) ).
tcf(c_24049,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_10)),composition(X1,converse(converse(join(X0,iPr_def_11))))) = composition(join(converse(iPr_def_10),X1),converse(converse(join(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_18951,c_390]) ).
tcf(c_24050,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,iPr_def_10))),X0),converse(iPr_def_10)) = join(converse(zero),composition(X0,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_390]) ).
tcf(c_24051,plain,
! [X0: $i,X1: $i] : join(converse(composition(top,composition(iPr_def_11,X0))),composition(X1,converse(top))) = composition(join(converse(composition(iPr_def_12,X0)),X1),converse(top)),
inference(superposition,[status(thm)],[c_20386,c_390]) ).
tcf(c_24052,plain,
! [X0: $i] : join(converse(composition(iPr_def_10,iPr_def_11)),composition(X0,converse(iPr_def_10))) = composition(join(converse(iPr_def_12),X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_19869,c_390]) ).
tcf(c_24053,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_10,composition(iPr_def_11,X0))),composition(X1,converse(iPr_def_10))) = composition(join(converse(composition(iPr_def_12,X0)),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_20422,c_390]) ).
tcf(c_24054,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_12)),composition(X1,converse(converse(join(iPr_def_10,X0))))) = composition(join(converse(iPr_def_12),X1),converse(converse(join(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_20457,c_390]) ).
tcf(c_24055,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_12)),composition(X1,converse(converse(join(X0,iPr_def_10))))) = composition(join(converse(iPr_def_12),X1),converse(converse(join(X0,iPr_def_10)))),
inference(superposition,[status(thm)],[c_20498,c_390]) ).
tcf(c_24056,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_12)))) = composition(join(converse(iPr_def_12),X0),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_20579,c_390]) ).
tcf(c_24057,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(complement(converse(iPr_def_12))))) = composition(join(converse(iPr_def_10),X0),converse(complement(converse(iPr_def_12)))),
inference(superposition,[status(thm)],[c_20668,c_390]) ).
tcf(c_24058,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(composition(X0,iPr_def_10))),X1),converse(converse(composition(X0,iPr_def_10)))) = join(converse(zero),composition(X1,converse(converse(composition(X0,iPr_def_10))))),
inference(superposition,[status(thm)],[c_22506,c_390]) ).
tcf(c_24059,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(composition(X0,iPr_def_10),composition(X1,top))),composition(X2,converse(join(composition(X0,iPr_def_10),X1)))) = composition(join(converse(top),X2),converse(join(composition(X0,iPr_def_10),X1))),
inference(superposition,[status(thm)],[c_22679,c_390]) ).
tcf(c_24060,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(composition(X0,iPr_def_10),composition(X1,top))),composition(X2,converse(join(X1,composition(X0,iPr_def_10))))) = composition(join(converse(top),X2),converse(join(X1,composition(X0,iPr_def_10)))),
inference(superposition,[status(thm)],[c_23730,c_390]) ).
tcf(c_24061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(X0,X1)),composition(X2,composition(X3,converse(X0)))) = composition(join(converse(X1),composition(X2,X3)),converse(X0)),
inference(superposition,[status(thm)],[c_52,c_390]) ).
tcf(c_24062,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),converse(composition(X0,X2))) = composition(join(converse(X1),converse(X2)),converse(X0)),
inference(superposition,[status(thm)],[c_57,c_390]) ).
tcf(c_24063,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(join(iPr_def_10,X2),composition(top,converse(X0)))) = composition(join(converse(X1),join(iPr_def_10,composition(X2,top))),converse(X0)),
inference(superposition,[status(thm)],[c_445,c_390]) ).
tcf(c_24065,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),zero),converse(X1)) = join(converse(composition(X1,X0)),zero),
inference(superposition,[status(thm)],[c_8217,c_390]) ).
tcf(c_24067,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(one,X1)),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17550,c_390]) ).
tcf(c_24068,plain,
! [X0: $i] : join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)) = composition(join(converse(X0),top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_390]) ).
tcf(c_24069,plain,
! [X0: $i] : join(converse(composition(iPr_def_11,X0)),converse(iPr_def_12)) = composition(join(converse(X0),top),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_16908,c_390]) ).
tcf(c_24070,plain,
! [X0: $i] : join(converse(composition(iPr_def_12,X0)),converse(iPr_def_12)) = composition(join(converse(X0),top),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_390]) ).
tcf(c_24071,plain,
! [X0: $i] : join(converse(composition(complement(iPr_def_12),X0)),converse(iPr_def_10)) = composition(join(converse(X0),top),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16923,c_390]) ).
tcf(c_24072,plain,
! [X0: $i] : join(converse(composition(iPr_def_12,X0)),composition(iPr_def_10,converse(iPr_def_11))) = composition(join(converse(X0),iPr_def_10),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_17002,c_390]) ).
tcf(c_24073,plain,
! [X0: $i] : join(converse(composition(iPr_def_10,X0)),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(converse(X0),complement(iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_390]) ).
tcf(c_24074,plain,
! [X0: $i] : join(converse(composition(iPr_def_10,X0)),composition(iPr_def_11,converse(iPr_def_10))) = composition(join(converse(X0),iPr_def_12),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17025,c_390]) ).
tcf(c_24075,plain,
! [X0: $i] : join(converse(composition(complement(iPr_def_12),X0)),composition(iPr_def_10,converse(iPr_def_10))) = composition(join(converse(X0),iPr_def_10),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_390]) ).
tcf(c_24076,plain,
! [X0: $i,X1: $i] : join(converse(composition(composition(X0,iPr_def_10),X1)),converse(composition(X0,iPr_def_10))) = composition(join(converse(X1),top),converse(composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_390]) ).
tcf(c_24077,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,one))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17745,c_390]) ).
tcf(c_24078,plain,
! [X0: $i,X1: $i] : join(converse(composition(composition(X0,iPr_def_12),X1)),converse(composition(X0,iPr_def_12))) = composition(join(converse(X1),top),converse(composition(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_390]) ).
tcf(c_24079,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(converse(X0),X1)),composition(X2,X0)) = composition(join(converse(X1),X2),X0),
inference(superposition,[status(thm)],[c_55,c_390]) ).
tcf(c_24080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(join(converse(X0),X1),X2)),composition(X3,join(converse(X1),X0))) = composition(join(converse(X2),X3),join(converse(X1),X0)),
inference(superposition,[status(thm)],[c_985,c_390]) ).
tcf(c_24081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(join(converse(X0),X1),X2)),composition(X3,join(X0,converse(X1)))) = composition(join(converse(X2),X3),join(X0,converse(X1))),
inference(superposition,[status(thm)],[c_221,c_390]) ).
tcf(c_24082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(join(X0,converse(X1)),X2)),composition(X3,join(X1,converse(X0)))) = composition(join(converse(X2),X3),join(X1,converse(X0))),
inference(superposition,[status(thm)],[c_765,c_390]) ).
tcf(c_24083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(join(X0,converse(X1)),X2)),composition(X3,join(converse(X0),X1))) = composition(join(converse(X2),X3),join(converse(X0),X1)),
inference(superposition,[status(thm)],[c_222,c_390]) ).
tcf(c_24084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(composition(X0,converse(X1)),X2)),composition(X3,composition(X1,converse(X0)))) = composition(join(converse(X2),X3),composition(X1,converse(X0))),
inference(superposition,[status(thm)],[c_225,c_390]) ).
tcf(c_24085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(composition(converse(X0),X1),X2)),composition(X3,composition(converse(X1),X0))) = composition(join(converse(X2),X3),composition(converse(X1),X0)),
inference(superposition,[status(thm)],[c_226,c_390]) ).
tcf(c_24086,plain,
! [X0: $i,X1: $i] : join(converse(composition(top,X0)),composition(X1,top)) = composition(join(converse(X0),X1),top),
inference(superposition,[status(thm)],[c_2343,c_390]) ).
tcf(c_24087,plain,
! [X0: $i,X1: $i] : join(converse(composition(zero,X0)),composition(X1,zero)) = composition(join(converse(X0),X1),zero),
inference(superposition,[status(thm)],[c_1950,c_390]) ).
tcf(c_24088,plain,
! [X0: $i,X1: $i] : join(converse(composition(one,X0)),composition(X1,one)) = composition(join(converse(X0),X1),one),
inference(superposition,[status(thm)],[c_1689,c_390]) ).
tcf(c_24089,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(one,X0),X1)),composition(X2,join(one,converse(X0)))) = composition(join(converse(X1),X2),join(one,converse(X0))),
inference(superposition,[status(thm)],[c_1723,c_390]) ).
tcf(c_24090,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(X0,one),X1)),composition(X2,join(one,converse(X0)))) = composition(join(converse(X1),X2),join(one,converse(X0))),
inference(superposition,[status(thm)],[c_1729,c_390]) ).
tcf(c_24091,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(composition(top,X0),X1)),composition(X2,composition(converse(X0),top))) = composition(join(converse(X1),X2),composition(converse(X0),top)),
inference(superposition,[status(thm)],[c_2357,c_390]) ).
tcf(c_24092,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(composition(X0,top),X1)),composition(X2,composition(top,converse(X0)))) = composition(join(converse(X1),X2),composition(top,converse(X0))),
inference(superposition,[status(thm)],[c_2354,c_390]) ).
tcf(c_24093,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(iPr_def_10,composition(X0,top)),X1)),composition(X2,composition(top,converse(join(iPr_def_10,X0))))) = composition(join(converse(X1),X2),composition(top,converse(join(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_16911,c_390]) ).
tcf(c_24094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(X0,X1)),join(composition(X2,converse(X0)),join(X3,complement(composition(join(converse(X1),X2),converse(X0)))))) = top,
inference(superposition,[status(thm)],[c_390,c_12854]) ).
tcf(c_24095,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),join(composition(X2,converse(X0)),converse(complement(converse(composition(join(converse(X1),X2),converse(X0))))))) = top,
inference(superposition,[status(thm)],[c_390,c_9717]) ).
tcf(c_24096,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(converse(composition(X0,X1)),join(composition(X2,converse(X0)),iPr_def_11))),complement(join(iPr_def_11,complement(composition(join(converse(X1),X2),converse(X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_390,c_376]) ).
tcf(c_24097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(X0,X1)),join(composition(X2,converse(X0)),join(complement(composition(join(converse(X1),X2),converse(X0))),X3))) = top,
inference(superposition,[status(thm)],[c_390,c_7392]) ).
tcf(c_24098,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(join(converse(X1),X2),converse(X0))) = composition(join(converse(X1),X2),converse(X0)),
inference(superposition,[status(thm)],[c_390,c_7878]) ).
tcf(c_24099,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),join(composition(X2,converse(X0)),complement(composition(join(converse(X1),X2),converse(X0))))) = top,
inference(superposition,[status(thm)],[c_390,c_375]) ).
tcf(c_24100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(X0,X1)),join(composition(X2,converse(X0)),X3)) = join(composition(join(converse(X1),X2),converse(X0)),X3),
inference(superposition,[status(thm)],[c_390,c_50]) ).
tcf(c_24101,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),converse(composition(X1,X2))) = composition(join(converse(X2),X0),converse(X1)),
inference(superposition,[status(thm)],[c_390,c_49]) ).
tcf(c_24103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(X0,X1)),join(X2,composition(X3,converse(X0)))) = join(X2,composition(join(converse(X1),X3),converse(X0))),
inference(superposition,[status(thm)],[c_390,c_191]) ).
tcf(c_24105,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(composition(X0,X1),converse(composition(X2,converse(X0)))),complement(composition(composition(join(converse(X1),X2),converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_390,c_776]) ).
tcf(c_24106,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,converse(X1))),composition(X1,X2)) = converse(composition(join(converse(X2),X0),converse(X1))),
inference(superposition,[status(thm)],[c_390,c_985]) ).
tcf(c_24107,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),converse(composition(X2,converse(X0)))) = converse(composition(join(converse(X1),X2),converse(X0))),
inference(superposition,[status(thm)],[c_390,c_221]) ).
tcf(c_24108,plain,
! [X0: $i,X1: $i] : composition(join(zero,converse(X0)),converse(X1)) = join(zero,converse(composition(X1,X0))),
inference(theory_normalisation,[status(thm)],[c_24065,c_50,c_49]) ).
tcf(c_24109,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,one)) = composition(join(converse(X0),X1),one),
inference(light_normalisation,[status(thm)],[c_24088,c_1708]) ).
tcf(c_24110,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),zero) = join(zero,composition(X1,zero)),
inference(light_normalisation,[status(thm)],[c_24087,c_1950,c_8217]) ).
tcf(c_24111,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),top),composition(X1,top)) = composition(join(converse(X0),X1),top),
inference(light_normalisation,[status(thm)],[c_24086,c_2357]) ).
tcf(c_24112,plain,
! [X0: $i] : join(converse(iPr_def_12),converse(composition(iPr_def_12,X0))) = composition(join(top,converse(X0)),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_24070,c_50,c_49]) ).
tcf(c_24113,plain,
! [X0: $i] : join(converse(iPr_def_12),converse(composition(iPr_def_11,X0))) = composition(join(top,converse(X0)),converse(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_24069,c_50,c_49]) ).
tcf(c_24114,plain,
! [X0: $i] : join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))) = composition(join(top,converse(X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_24068,c_50,c_49]) ).
tcf(c_24117,plain,
! [X0: $i,X1: $i] : join(zero,composition(X0,converse(X1))) = composition(X0,converse(X1)),
inference(light_normalisation,[status(thm)],[c_23982,c_1336,c_1950]) ).
tcf(c_24123,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(X0))) = composition(join(one,X1),converse(X0)),
inference(light_normalisation,[status(thm)],[c_23961,c_1689]) ).
tcf(c_24124,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),X1),composition(X2,X1)) = composition(join(converse(X0),X2),X1),
inference(light_normalisation,[status(thm)],[c_24079,c_226]) ).
tcf(c_24125,plain,
! [X0: $i] : join(composition(iPr_def_11,converse(iPr_def_10)),converse(composition(iPr_def_10,X0))) = composition(join(iPr_def_12,converse(X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_24074,c_50,c_49]) ).
tcf(c_24126,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_11)),converse(composition(iPr_def_12,X0))) = composition(join(iPr_def_10,converse(X0)),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_24072,c_50,c_49]) ).
tcf(c_24127,plain,
! [X0: $i] : join(converse(iPr_def_10),converse(composition(complement(iPr_def_12),X0))) = composition(join(top,converse(X0)),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_24071,c_50,c_49]) ).
tcf(c_24128,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,converse(X1))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_24067,c_50,c_49]) ).
tcf(c_24130,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,top)) = composition(join(converse(converse(iPr_def_12)),X0),top),
inference(light_normalisation,[status(thm)],[c_24025,c_2343]) ).
tcf(c_24131,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,top)) = composition(join(converse(converse(iPr_def_11)),X0),top),
inference(light_normalisation,[status(thm)],[c_24024,c_2343]) ).
tcf(c_24132,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),composition(X0,top)) = composition(join(converse(converse(iPr_def_10)),X0),top),
inference(light_normalisation,[status(thm)],[c_24023,c_2343]) ).
tcf(c_24133,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,top)) = composition(join(converse(iPr_def_11),X0),top),
inference(light_normalisation,[status(thm)],[c_24013,c_2343,c_19208]) ).
tcf(c_24135,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),converse(converse(iPr_def_12))) = join(zero,composition(X0,converse(converse(iPr_def_12)))),
inference(light_normalisation,[status(thm)],[c_24000,c_1950]) ).
tcf(c_24136,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),converse(converse(iPr_def_10))) = join(zero,composition(X0,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_23995,c_1950]) ).
tcf(c_24137,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),X0),converse(converse(iPr_def_11))) = join(zero,composition(X0,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_23988,c_1950]) ).
tcf(c_24138,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),converse(converse(iPr_def_10))) = join(zero,composition(X0,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_23967,c_1950]) ).
tcf(c_24139,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(X0)),composition(X1,converse(X0))) = composition(join(top,X1),converse(X0)),
inference(light_normalisation,[status(thm)],[c_23959,c_2343]) ).
tcf(c_24141,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(X0,X2)) = converse(composition(join(converse(X2),X1),converse(X0))),
inference(light_normalisation,[status(thm)],[c_24106,c_225]) ).
tcf(c_24142,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),converse(composition(iPr_def_10,X0))) = composition(join(complement(iPr_def_12),converse(X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_24073,c_50,c_49]) ).
tcf(c_24143,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,iPr_def_10))),X0),converse(iPr_def_10)) = join(zero,composition(X0,converse(iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_24050,c_1950]) ).
tcf(c_24144,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,iPr_def_11))),X0),converse(iPr_def_11)) = join(zero,composition(X0,converse(iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_24044,c_1950]) ).
tcf(c_24145,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,iPr_def_11))),X0),converse(iPr_def_12)) = join(zero,composition(X0,converse(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_24042,c_1950]) ).
tcf(c_24146,plain,
! [X0: $i] : composition(join(converse(converse(complement(iPr_def_12))),X0),top) = join(converse(converse(iPr_def_10)),composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_24026,c_2343]) ).
tcf(c_24147,plain,
! [X0: $i] : composition(join(converse(complement(iPr_def_12)),X0),converse(converse(iPr_def_12))) = join(zero,composition(X0,converse(converse(iPr_def_12)))),
inference(light_normalisation,[status(thm)],[c_24015,c_1950]) ).
tcf(c_24148,plain,
! [X0: $i] : composition(join(converse(complement(iPr_def_12)),X0),converse(converse(iPr_def_11))) = join(zero,composition(X0,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_23966,c_1950]) ).
tcf(c_24149,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(X2,converse(X1))) = composition(join(X0,X2),converse(X1)),
inference(light_normalisation,[status(thm)],[c_23956,c_55]) ).
tcf(c_24150,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,join(X1,converse(X2)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(theory_normalisation,[status(thm)],[c_24077,c_50,c_49]) ).
tcf(c_24151,plain,
! [X0: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),converse(composition(complement(iPr_def_12),X0))) = composition(join(iPr_def_10,converse(X0)),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_24075,c_50,c_49]) ).
tcf(c_24152,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_11)))) = converse(composition(top,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_24017,c_2343,c_7096,c_18556]) ).
tcf(c_24153,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),X0),converse(converse(complement(iPr_def_12)))) = join(zero,composition(X0,converse(converse(complement(iPr_def_12))))),
inference(light_normalisation,[status(thm)],[c_24016,c_1950]) ).
tcf(c_24154,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_12,X0)),composition(X1,converse(iPr_def_12))) = composition(join(composition(converse(X0),top),X1),converse(iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_24014,c_2357]) ).
tcf(c_24155,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(converse(iPr_def_10)))) = converse(composition(top,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_24009,c_2343,c_7096,c_19832]) ).
tcf(c_24156,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_12)))) = converse(composition(top,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_24008,c_2343,c_7096,c_19194]) ).
tcf(c_24158,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),converse(converse(iPr_def_12))) = join(zero,composition(X1,converse(converse(iPr_def_12)))),
inference(light_normalisation,[status(thm)],[c_24003,c_1950]) ).
tcf(c_24159,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_12,X0)),X1),converse(converse(iPr_def_10))) = join(zero,composition(X1,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_23996,c_1950]) ).
tcf(c_24160,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),converse(converse(iPr_def_11))) = join(zero,composition(X1,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_23992,c_1950]) ).
tcf(c_24161,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),X0),converse(converse(complement(iPr_def_12)))) = join(zero,composition(X0,converse(converse(complement(iPr_def_12))))),
inference(light_normalisation,[status(thm)],[c_23990,c_1950]) ).
tcf(c_24162,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_11,X0)),X1),converse(converse(iPr_def_10))) = join(zero,composition(X1,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_23986,c_1950]) ).
tcf(c_24163,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_10,X0)),composition(X1,converse(iPr_def_10))) = composition(join(composition(converse(X0),top),X1),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_23970,c_2357]) ).
tcf(c_24164,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_12,X0)),composition(X1,converse(iPr_def_11))) = composition(join(composition(converse(X0),top),X1),converse(iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_23969,c_2357]) ).
tcf(c_24165,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(complement(iPr_def_12),X0)),X1),converse(converse(iPr_def_11))) = join(zero,composition(X1,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_23989,c_1950]) ).
tcf(c_24166,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(composition(X0,top))),X1),X0) = join(zero,composition(X1,X0)),
inference(light_normalisation,[status(thm)],[c_23965,c_55,c_1950]) ).
tcf(c_24167,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_12)),converse(composition(composition(X0,iPr_def_12),X1))) = composition(join(top,converse(X1)),converse(composition(X0,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_24078,c_50,c_49]) ).
tcf(c_24168,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),converse(composition(composition(X0,iPr_def_10),X1))) = composition(join(top,converse(X1)),converse(composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24076,c_50,c_49]) ).
tcf(c_24169,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),composition(top,iPr_def_11)),composition(X1,top)) = composition(join(converse(composition(iPr_def_12,X0)),X1),top),
inference(light_normalisation,[status(thm)],[c_24051,c_2343,c_20406,c_21041]) ).
tcf(c_24170,plain,
! [X0: $i,X1: $i] : join(composition(composition(X0,iPr_def_12),top),composition(X1,top)) = composition(join(composition(composition(X0,iPr_def_12),top),X1),top),
inference(light_normalisation,[status(thm)],[c_24041,c_2343,c_18154]) ).
tcf(c_24171,plain,
! [X0: $i,X1: $i] : join(composition(composition(X0,iPr_def_10),top),composition(X1,top)) = composition(join(composition(composition(X0,iPr_def_10),top),X1),top),
inference(light_normalisation,[status(thm)],[c_24039,c_2343,c_17847]) ).
tcf(c_24172,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(iPr_def_12),X0)),composition(X1,top)) = composition(join(converse(composition(converse(iPr_def_12),X0)),X1),top),
inference(light_normalisation,[status(thm)],[c_24037,c_2343]) ).
tcf(c_24173,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(iPr_def_10),X0)),composition(X1,top)) = composition(join(converse(composition(converse(iPr_def_10),X0)),X1),top),
inference(light_normalisation,[status(thm)],[c_24030,c_2343]) ).
tcf(c_24174,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(iPr_def_12),X0)),composition(X1,top)) = composition(join(converse(composition(converse(iPr_def_11),X0)),X1),top),
inference(light_normalisation,[status(thm)],[c_24027,c_2343]) ).
tcf(c_24175,plain,
! [X0: $i,X1: $i] : join(converse(composition(iPr_def_10,X0)),composition(X1,converse(complement(iPr_def_12)))) = composition(join(composition(converse(X0),top),X1),converse(complement(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_24018,c_2357]) ).
tcf(c_24176,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_12),X0),converse(converse(composition(iPr_def_10,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_10,X1))))),
inference(light_normalisation,[status(thm)],[c_24006,c_1950]) ).
tcf(c_24177,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),X0),converse(converse(composition(iPr_def_12,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_12,X1))))),
inference(light_normalisation,[status(thm)],[c_24005,c_1950]) ).
tcf(c_24178,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_11),X0),converse(converse(composition(iPr_def_10,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_10,X1))))),
inference(light_normalisation,[status(thm)],[c_24001,c_1950]) ).
tcf(c_24179,plain,
! [X0: $i,X1: $i] : composition(join(converse(iPr_def_10),X0),converse(converse(composition(iPr_def_11,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_11,X1))))),
inference(light_normalisation,[status(thm)],[c_23997,c_1950]) ).
tcf(c_24180,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(iPr_def_11,X0)),X1),converse(converse(complement(iPr_def_12)))) = join(zero,composition(X1,converse(converse(complement(iPr_def_12))))),
inference(light_normalisation,[status(thm)],[c_23994,c_1950]) ).
tcf(c_24181,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(composition(X0,X1))),composition(X2,converse(converse(X1)))) = composition(join(X0,X2),converse(converse(X1))),
inference(light_normalisation,[status(thm)],[c_23962,c_55]) ).
tcf(c_24182,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_11,X0))),composition(X1,converse(join(X0,iPr_def_12)))) = composition(join(top,X1),converse(join(X0,iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_24012,c_2343,c_16910]) ).
tcf(c_24183,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_11,X0))),composition(X1,converse(join(iPr_def_12,X0)))) = composition(join(top,X1),converse(join(iPr_def_12,X0))),
inference(light_normalisation,[status(thm)],[c_24010,c_2343,c_16910]) ).
tcf(c_24184,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_10,X0))),composition(X1,converse(join(X0,iPr_def_10)))) = composition(join(top,X1),converse(join(X0,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_23974,c_2343,c_16911]) ).
tcf(c_24185,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_11,X0))),composition(X1,converse(join(X0,iPr_def_11)))) = composition(join(top,X1),converse(join(X0,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_23973,c_2343,c_16910]) ).
tcf(c_24186,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_10,X0))),composition(X1,converse(join(iPr_def_10,X0)))) = composition(join(top,X1),converse(join(iPr_def_10,X0))),
inference(light_normalisation,[status(thm)],[c_23972,c_2343,c_16911]) ).
tcf(c_24187,plain,
! [X0: $i,X1: $i] : join(composition(top,converse(join(iPr_def_11,X0))),composition(X1,converse(join(iPr_def_11,X0)))) = composition(join(top,X1),converse(join(iPr_def_11,X0))),
inference(light_normalisation,[status(thm)],[c_23971,c_2343,c_16910]) ).
tcf(c_24189,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(composition(X0,iPr_def_10))),X1),composition(composition(X0,iPr_def_10),top)) = join(zero,composition(X1,composition(composition(X0,iPr_def_10),top))),
inference(light_normalisation,[status(thm)],[c_24058,c_1950,c_17847]) ).
tcf(c_24190,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(join(iPr_def_10,X2),composition(top,converse(X0)))) = composition(join(iPr_def_10,join(converse(X1),composition(X2,top))),converse(X0)),
inference(theory_normalisation,[status(thm)],[c_24063,c_50,c_49]) ).
tcf(c_24191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(composition(converse(X0),X1),X2),composition(X3,converse(converse(X2)))) = composition(join(converse(composition(converse(X1),X0)),X3),converse(converse(X2))),
inference(light_normalisation,[status(thm)],[c_23968,c_21100]) ).
tcf(c_24192,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(composition(join(converse(X0),X1),converse(X2))))),complement(join(iPr_def_11,join(converse(composition(X2,X0)),composition(X1,converse(X2)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_24096,c_50,c_49]) ).
tcf(c_24193,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(join(iPr_def_10,composition(X0,top)))),X1),converse(converse(join(iPr_def_10,X0)))) = join(zero,composition(X1,converse(converse(join(iPr_def_10,X0))))),
inference(light_normalisation,[status(thm)],[c_23978,c_1950]) ).
tcf(c_24194,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),X1),converse(iPr_def_10)) = join(zero,composition(X1,converse(iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_24046,c_1950]) ).
tcf(c_24195,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))),X1),top) = join(zero,composition(X1,top)),
inference(light_normalisation,[status(thm)],[c_24045,c_1950,c_2343]) ).
tcf(c_24196,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(X0,iPr_def_10),composition(top,X1))),composition(X2,composition(top,converse(join(iPr_def_10,X0))))) = composition(join(converse(X1),X2),composition(top,converse(join(iPr_def_10,X0)))),
inference(light_normalisation,[status(thm)],[c_24093,c_474]) ).
tcf(c_24197,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),composition(X2,converse(join(X1,composition(X0,iPr_def_10))))) = composition(join(top,X2),converse(join(X1,composition(X0,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_24060,c_2343,c_23785]) ).
tcf(c_24198,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),composition(X2,converse(join(composition(X0,iPr_def_10),X1)))) = composition(join(top,X2),converse(join(composition(X0,iPr_def_10),X1))),
inference(light_normalisation,[status(thm)],[c_24059,c_2343,c_23785]) ).
tcf(c_24199,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,converse(join(X0,join(iPr_def_10,X1)))),composition(X2,converse(join(X0,join(iPr_def_10,X1))))) = composition(join(top,X2),converse(join(X0,join(iPr_def_10,X1)))),
inference(light_normalisation,[status(thm)],[c_23977,c_2343,c_16916]) ).
tcf(c_24200,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(iPr_def_10,X0),composition(top,X1))),composition(X2,composition(top,converse(join(iPr_def_10,X0))))) = composition(join(converse(X1),X2),composition(top,converse(join(iPr_def_10,X0)))),
inference(light_normalisation,[status(thm)],[c_23976,c_16911]) ).
tcf(c_24318,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(X1),join(X2,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_362,c_13081]) ).
tcf(c_24333,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(X1,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_12338,c_13081]) ).
tcf(c_24337,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(iPr_def_12),join(X1,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_13165,c_13081]) ).
tcf(c_24338,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_10,join(X1,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_13393,c_13081]) ).
tcf(c_24352,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(X2),complement(X0)))) = top,
inference(superposition,[status(thm)],[c_362,c_13081]) ).
tcf(c_24368,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_12338,c_13081]) ).
tcf(c_24370,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(complement(iPr_def_12),complement(X0)))) = top,
inference(superposition,[status(thm)],[c_13165,c_13081]) ).
tcf(c_24372,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_10,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_13393,c_13081]) ).
tcf(c_24380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(X4,complement(X0)))))) = top,
inference(superposition,[status(thm)],[c_50,c_13081]) ).
tcf(c_24383,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,top))) = top,
inference(superposition,[status(thm)],[c_7096,c_13081]) ).
tcf(c_24384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(iPr_def_11,complement(join(X0,X1))),join(X2,join(X3,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_376,c_13081]) ).
tcf(c_24385,plain,
! [X0: $i,X1: $i] : join(converse(complement(converse(iPr_def_11))),join(X0,join(X1,iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_12326,c_13081]) ).
tcf(c_24387,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(iPr_def_11,complement(join(iPr_def_11,complement(X0))))),join(X1,join(X2,join(iPr_def_11,complement(X0))))) = top,
inference(superposition,[status(thm)],[c_1888,c_13081]) ).
tcf(c_24389,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_4192,c_13081]) ).
tcf(c_24390,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(iPr_def_11,X0)),join(X1,join(X2,join(iPr_def_11,complement(join(iPr_def_11,X0)))))) = top,
inference(superposition,[status(thm)],[c_11158,c_13081]) ).
tcf(c_24392,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_11,complement(join(iPr_def_11,X0))),join(X1,join(X2,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_8543,c_13081]) ).
tcf(c_24396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,join(X1,iPr_def_11)),join(X2,join(X3,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_14735,c_13081]) ).
tcf(c_24397,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),join(X1,join(X2,complement(composition(iPr_def_12,X0))))) = top,
inference(superposition,[status(thm)],[c_15920,c_13081]) ).
tcf(c_24398,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_11,X0),join(X1,join(X2,complement(composition(iPr_def_11,X0))))) = top,
inference(superposition,[status(thm)],[c_15924,c_13081]) ).
tcf(c_24399,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_11),join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_17003,c_13081]) ).
tcf(c_24400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(X1,join(X2,join(X3,X0)))) = top,
inference(superposition,[status(thm)],[c_7732,c_13081]) ).
tcf(c_24404,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,join(X1,join(X2,top)))) = top,
inference(superposition,[status(thm)],[c_1431,c_13081]) ).
tcf(c_24405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(join(X1,join(X2,join(X3,complement(X0)))),join(X4,complement(top)))) = top,
inference(superposition,[status(thm)],[c_13081,c_12854]) ).
tcf(c_24406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(X2,join(X3,complement(X0)))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_13081,c_9717]) ).
tcf(c_24407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(X0,join(join(X1,join(X2,join(X3,complement(X0)))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13081,c_376]) ).
tcf(c_24408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(join(X1,join(X2,join(X3,complement(X0)))),join(complement(top),X4))) = top,
inference(superposition,[status(thm)],[c_13081,c_7392]) ).
tcf(c_24410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(join(X1,join(X2,join(X3,complement(X0)))),complement(top))) = top,
inference(superposition,[status(thm)],[c_13081,c_375]) ).
tcf(c_24411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(join(X1,join(X2,join(X3,complement(X0)))),X4)) = join(top,X4),
inference(superposition,[status(thm)],[c_13081,c_50]) ).
tcf(c_24414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(X4,complement(join(X0,X1))))))) = top,
inference(superposition,[status(thm)],[c_13081,c_50]) ).
tcf(c_24416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(X4,complement(X0)))))) = join(X1,top),
inference(superposition,[status(thm)],[c_13081,c_191]) ).
tcf(c_24417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,complement(X1))))) = top,
inference(superposition,[status(thm)],[c_13081,c_191]) ).
tcf(c_24418,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(zero)))) = top,
inference(superposition,[status(thm)],[c_13081,c_1336]) ).
tcf(c_24419,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,complement(iPr_def_11))))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_13081,c_18476]) ).
tcf(c_24424,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(join(X0,join(X1,join(X2,complement(iPr_def_11)))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_13081,c_11158]) ).
tcf(c_24426,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,composition(join(X0,join(X1,join(X2,complement(iPr_def_11)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13081,c_391]) ).
tcf(c_24429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,join(X2,join(X3,complement(converse(X0))))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13081,c_776]) ).
tcf(c_24431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,converse(join(X1,join(X2,join(X3,complement(converse(X0))))))) = converse(top),
inference(superposition,[status(thm)],[c_13081,c_221]) ).
tcf(c_24432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(X1,join(X2,join(X3,complement(composition(converse(X4),complement(composition(X4,X0)))))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_13081,c_362]) ).
tcf(c_24433,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,join(X2,complement(complement(X0))))) = top,
inference(superposition,[status(thm)],[c_13081,c_362]) ).
tcf(c_24434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,join(X3,complement(iPr_def_10))))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_13081,c_9109]) ).
tcf(c_24435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,complement(complement(join(iPr_def_11,complement(X3)))))))) = join(complement(join(X3,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_13081,c_369]) ).
tcf(c_24436,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,complement(iPr_def_10))))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_13081,c_20457]) ).
tcf(c_24437,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,join(X1,join(X2,complement(iPr_def_10)))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13081,c_18626]) ).
tcf(c_24438,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,complement(iPr_def_10))))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_13081,c_16861]) ).
tcf(c_24439,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,join(X1,join(X2,complement(iPr_def_10)))),top)))) = zero,
inference(superposition,[status(thm)],[c_13081,c_9562]) ).
tcf(c_24440,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,complement(iPr_def_10)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13081,c_392]) ).
tcf(c_24441,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(complement(join(X2,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_13081,c_369]) ).
tcf(c_24445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,complement(composition(converse(X3),complement(composition(X3,iPr_def_10)))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_13081,c_434]) ).
tcf(c_24447,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(X1,join(X2,complement(X0)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13081,c_9109]) ).
tcf(c_24448,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(converse(iPr_def_10))))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_13081,c_20452]) ).
tcf(c_24449,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(converse(iPr_def_10))))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_13081,c_16856]) ).
tcf(c_24454,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,converse(join(X0,join(X1,join(X2,complement(one)))))) = converse(top),
inference(superposition,[status(thm)],[c_13081,c_1723]) ).
tcf(c_24455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,composition(join(X1,join(X2,join(X3,complement(one)))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_13081,c_1767]) ).
tcf(c_24458,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(converse(iPr_def_11))))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_13081,c_18471]) ).
tcf(c_24459,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,composition(join(X0,join(X1,join(X2,complement(iPr_def_12)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13081,c_11839]) ).
tcf(c_24461,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,complement(iPr_def_12))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_13081,c_3214]) ).
tcf(c_24463,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(converse(iPr_def_12))))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_13081,c_20661]) ).
tcf(c_24475,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,complement(complement(converse(complement(converse(iPr_def_11))))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_13081,c_12338]) ).
tcf(c_24476,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,complement(iPr_def_11)))) = top,
inference(superposition,[status(thm)],[c_13081,c_12338]) ).
tcf(c_24480,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,join(X1,complement(iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_13081,c_13165]) ).
tcf(c_24481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,complement(composition(complement(join(iPr_def_11,X3)),top)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13081,c_13393]) ).
tcf(c_24482,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,join(X1,complement(iPr_def_10)))) = top,
inference(superposition,[status(thm)],[c_13081,c_13393]) ).
tcf(c_24486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(X2,join(X3,complement(composition(X0,iPr_def_10))))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_13081,c_22679]) ).
tcf(c_24493,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_24476,c_1671]) ).
tcf(c_24496,plain,
! [X0: $i,X1: $i] : join(top,join(X0,join(X1,converse(iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_24399,c_50,c_49]) ).
tcf(c_24497,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_10),join(X0,join(X1,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_24480,c_50,c_49]) ).
tcf(c_24499,plain,
! [X0: $i,X1: $i,X2: $i] : join(top,join(X0,join(X1,join(X2,zero)))) = top,
inference(theory_normalisation,[status(thm)],[c_24404,c_50,c_49]) ).
tcf(c_24506,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,join(X2,X0))) = top,
inference(light_normalisation,[status(thm)],[c_24433,c_7732]) ).
tcf(c_24508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(complement(X0),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_24400,c_50,c_49]) ).
tcf(c_24509,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,converse(complement(converse(iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24385,c_50,c_49]) ).
tcf(c_24513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(iPr_def_10,join(X2,join(X3,iPr_def_11))))) = top,
inference(theory_normalisation,[status(thm)],[c_24396,c_50,c_49]) ).
tcf(c_24515,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,converse(join(X0,join(X1,join(X2,complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_24454,c_2343]) ).
tcf(c_24516,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_11,X2)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24392,c_50,c_49]) ).
tcf(c_24517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(iPr_def_11,complement(join(X2,X3)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24384,c_50,c_49]) ).
tcf(c_24518,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(converse(iPr_def_10))))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_24448,c_19797]) ).
tcf(c_24519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,converse(join(X1,join(X2,join(X3,complement(converse(X0))))))) = top,
inference(light_normalisation,[status(thm)],[c_24431,c_2343]) ).
tcf(c_24522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24410,c_50,c_49]) ).
tcf(c_24523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),zero))))) = top,
inference(light_normalisation,[status(thm)],[c_24522,c_107]) ).
tcf(c_24524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,join(zero,complement(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24523,c_50,c_49]) ).
tcf(c_24525,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,composition(join(X0,join(X1,join(X2,complement(iPr_def_12)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_24459,c_11762]) ).
tcf(c_24531,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,composition(join(X0,join(X1,join(X2,iPr_def_10))),top)) = top,
inference(light_normalisation,[status(thm)],[c_24426,c_1671,c_11762]) ).
tcf(c_24532,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,iPr_def_10)))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_24419,c_1671,c_2343]) ).
tcf(c_24533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),X4))))) = join(top,X4),
inference(theory_normalisation,[status(thm)],[c_24411,c_50,c_49]) ).
tcf(c_24535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),join(complement(top),X4)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24408,c_50,c_49]) ).
tcf(c_24536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),join(zero,X4)))))) = top,
inference(light_normalisation,[status(thm)],[c_24535,c_107]) ).
tcf(c_24537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(zero,join(complement(X0),X4)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24536,c_50,c_49]) ).
tcf(c_24538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),converse(complement(converse(top)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_24406,c_50,c_49]) ).
tcf(c_24541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),join(X4,complement(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_24405,c_50,c_49]) ).
tcf(c_24542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(X2,join(X3,join(complement(X0),join(X4,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_24541,c_107]) ).
tcf(c_24545,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X2,join(top,complement(iPr_def_11))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_24424,c_50,c_49]) ).
tcf(c_24546,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X2,join(top,iPr_def_10)))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_24545,c_107,c_1671]) ).
tcf(c_24547,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X2,join(iPr_def_10,top)))))) = join(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_24546,c_50,c_49]) ).
tcf(c_24548,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(iPr_def_11,join(X0,join(X1,join(X2,join(iPr_def_11,complement(join(iPr_def_11,X0)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_24390,c_50,c_49]) ).
tcf(c_24549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),composition(join(X1,join(X2,join(X3,complement(composition(X0,iPr_def_10))))),top)) = top,
inference(light_normalisation,[status(thm)],[c_24486,c_11762]) ).
tcf(c_24551,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(iPr_def_11,join(iPr_def_11,join(X1,join(X2,join(complement(X0),complement(join(iPr_def_11,complement(X0))))))))) = top,
inference(theory_normalisation,[status(thm)],[c_24387,c_50,c_49]) ).
tcf(c_24553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,complement(complement(join(iPr_def_11,complement(X3)))))))) = join(top,complement(join(X3,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_24435,c_50,c_49]) ).
tcf(c_24554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(X2,join(X3,join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_24407,c_50,c_49]) ).
tcf(c_24555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(X2,join(X3,join(iPr_def_11,complement(X0)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_24554,c_107]) ).
tcf(c_24556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(complement(X0),join(X1,join(X2,join(X3,complement(composition(converse(X4),complement(composition(X4,X0)))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_24432,c_50,c_49]) ).
tcf(c_24557,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(X1,join(X2,join(iPr_def_10,complement(iPr_def_10))))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_24437,c_50,c_49]) ).
tcf(c_24583,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(join(iPr_def_11,X0)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_59,c_13301]) ).
tcf(c_24584,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,join(iPr_def_11,X1))))) = join(iPr_def_10,complement(join(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_76,c_13301]) ).
tcf(c_24585,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(complement(join(iPr_def_11,X1)),X2))) = join(iPr_def_10,join(X0,X2)),
inference(superposition,[status(thm)],[c_191,c_13301]) ).
tcf(c_24586,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(X0,complement(composition(converse(X0),join(iPr_def_11,X1))))) = join(iPr_def_10,complement(join(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_350,c_13301]) ).
tcf(c_24587,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(complement(join(iPr_def_11,X1)),X0)))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_375,c_13301]) ).
tcf(c_24588,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(complement(join(iPr_def_11,X0))),X1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7124,c_13301]) ).
tcf(c_24589,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(converse(X0),complement(composition(X0,join(iPr_def_11,X1)))),X2)) = join(iPr_def_10,join(complement(join(iPr_def_11,X1)),X2)),
inference(superposition,[status(thm)],[c_362,c_13301]) ).
tcf(c_24590,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,complement(iPr_def_11))),X0)) = join(iPr_def_10,join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_369,c_13301]) ).
tcf(c_24592,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,join(iPr_def_11,X2)))))) = join(iPr_def_10,complement(join(iPr_def_11,X2))),
inference(superposition,[status(thm)],[c_385,c_13301]) ).
tcf(c_24593,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,X0))) = join(iPr_def_10,zero),
inference(superposition,[status(thm)],[c_1429,c_13301]) ).
tcf(c_24594,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(complement(join(iPr_def_11,X0)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_2345,c_13301]) ).
tcf(c_24595,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(join(complement(join(iPr_def_11,X1)),X0)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_9717,c_13301]) ).
tcf(c_24596,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(complement(join(iPr_def_11,X0))))),X1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_21130,c_13301]) ).
tcf(c_24597,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,one),complement(join(iPr_def_11,X1)))) = join(iPr_def_10,composition(X0,complement(join(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_1782,c_13301]) ).
tcf(c_24598,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(one,X0),complement(join(iPr_def_11,X1)))) = join(iPr_def_10,composition(X0,complement(join(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_1767,c_13301]) ).
tcf(c_24599,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(composition(top,join(iPr_def_11,X0))))) = join(iPr_def_10,complement(join(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_2356,c_13301]) ).
tcf(c_24600,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(complement(join(iPr_def_11,X1))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7426,c_13301]) ).
tcf(c_24601,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(complement(join(complement(join(iPr_def_11,X1)),X0)),X2))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_7392,c_13301]) ).
tcf(c_24602,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(converse(X0),complement(composition(X0,complement(complement(join(iPr_def_11,X1))))))) = join(iPr_def_10,complement(join(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_7774,c_13301]) ).
tcf(c_24603,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_11,complement(join(iPr_def_11,X0))))) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_8543,c_13301]) ).
tcf(c_24604,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,converse(complement(converse(complement(join(iPr_def_11,X1))))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_21139,c_13301]) ).
tcf(c_24605,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(one),complement(join(iPr_def_11,X0)))) = join(iPr_def_10,composition(top,complement(join(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_11631,c_13301]) ).
tcf(c_24606,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(complement(join(iPr_def_11,X0))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_11752,c_13301]) ).
tcf(c_24607,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(join(complement(join(iPr_def_11,X2)),X0))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_12854,c_13301]) ).
tcf(c_24608,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(X1,complement(complement(join(iPr_def_11,X2)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_12833,c_13301]) ).
tcf(c_24609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(X1,join(X2,complement(complement(join(iPr_def_11,X3))))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13081,c_13301]) ).
tcf(c_24610,plain,
! [X0: $i] : join(iPr_def_10,composition(top,join(iPr_def_11,X0))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_14135,c_13301]) ).
tcf(c_24615,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(X0,join(iPr_def_11,X1))),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_191,c_13301]) ).
tcf(c_24659,plain,
! [X0: $i] : join(iPr_def_10,join(complement(top),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_15762,c_13301]) ).
tcf(c_24660,plain,
! [X0: $i] : join(iPr_def_10,join(complement(iPr_def_11),X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_17888,c_13301]) ).
tcf(c_24664,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(complement(join(iPr_def_11,X0)),X1),join(X2,complement(join(iPr_def_10,X1))))) = top,
inference(superposition,[status(thm)],[c_13301,c_12854]) ).
tcf(c_24665,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(complement(join(iPr_def_11,X0)),X1),converse(complement(converse(join(iPr_def_10,X1)))))) = top,
inference(superposition,[status(thm)],[c_13301,c_9717]) ).
tcf(c_24666,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(join(complement(join(iPr_def_11,X0)),X1),iPr_def_11))),complement(join(iPr_def_11,complement(join(iPr_def_10,X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13301,c_376]) ).
tcf(c_24667,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(join(complement(join(iPr_def_11,X0)),X1),join(complement(join(iPr_def_10,X1)),X2))) = top,
inference(superposition,[status(thm)],[c_13301,c_7392]) ).
tcf(c_24669,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(join(complement(join(iPr_def_11,X0)),X1),complement(join(iPr_def_10,X1)))) = top,
inference(superposition,[status(thm)],[c_13301,c_375]) ).
tcf(c_24671,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(complement(join(iPr_def_11,X1)),X2))) = join(X0,join(iPr_def_10,X2)),
inference(superposition,[status(thm)],[c_13301,c_191]) ).
tcf(c_24673,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_10,complement(join(iPr_def_11,X0))))) = top,
inference(superposition,[status(thm)],[c_13301,c_375]) ).
tcf(c_24674,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,join(complement(join(iPr_def_11,X1)),X2)),top)) = composition(join(X0,join(iPr_def_10,X2)),top),
inference(superposition,[status(thm)],[c_13301,c_9109]) ).
tcf(c_24675,plain,
! [X0: $i,X1: $i] : composition(converse(join(complement(join(iPr_def_11,X0)),X1)),iPr_def_12) = composition(converse(join(iPr_def_10,X1)),iPr_def_12),
inference(superposition,[status(thm)],[c_13301,c_20457]) ).
tcf(c_24676,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(join(complement(join(iPr_def_11,X1)),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13301,c_18626]) ).
tcf(c_24677,plain,
! [X0: $i,X1: $i] : composition(converse(join(complement(join(iPr_def_11,X0)),X1)),iPr_def_11) = composition(converse(join(iPr_def_10,X1)),iPr_def_11),
inference(superposition,[status(thm)],[c_13301,c_16861]) ).
tcf(c_24678,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,X0)),complement(join(iPr_def_10,composition(join(complement(join(iPr_def_11,X1)),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_13301,c_9562]) ).
tcf(c_24679,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(complement(join(iPr_def_11,X0)),X1),top)) = composition(join(iPr_def_10,X1),top),
inference(superposition,[status(thm)],[c_13301,c_392]) ).
tcf(c_24680,plain,
! [X0: $i] : join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,complement(join(iPr_def_10,complement(join(iPr_def_11,X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13301,c_376]) ).
tcf(c_24686,plain,
! [X0: $i] : join(iPr_def_10,converse(complement(converse(join(iPr_def_10,complement(join(iPr_def_11,X0))))))) = top,
inference(superposition,[status(thm)],[c_13301,c_9717]) ).
tcf(c_24688,plain,
! [X0: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top))))) = zero,
inference(superposition,[status(thm)],[c_13301,c_18823]) ).
tcf(c_24689,plain,
! [X0: $i] : composition(top,composition(converse(join(iPr_def_10,iPr_def_10)),complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top))))) = zero,
inference(superposition,[status(thm)],[c_13301,c_18222]) ).
tcf(c_24693,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_10,complement(join(iPr_def_11,X0)))),X1)) = top,
inference(superposition,[status(thm)],[c_13301,c_7392]) ).
tcf(c_24708,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,complement(join(iPr_def_10,complement(join(iPr_def_11,X1)))))) = top,
inference(superposition,[status(thm)],[c_13301,c_12854]) ).
tcf(c_24715,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(iPr_def_12)) = join(iPr_def_10,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_13301,c_13166]) ).
tcf(c_24716,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)) = join(complement(join(iPr_def_11,X1)),iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_13394]) ).
tcf(c_24724,plain,
! [X0: $i] : join(complement(iPr_def_12),complement(join(iPr_def_11,X0))) = join(iPr_def_10,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_24715,c_50,c_49]) ).
tcf(c_24725,plain,
! [X0: $i] : join(complement(iPr_def_12),complement(join(iPr_def_11,X0))) = complement(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_24724,c_13163]) ).
tcf(c_24731,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)) = join(iPr_def_10,complement(join(iPr_def_11,X1))),
inference(theory_normalisation,[status(thm)],[c_24716,c_50,c_49]) ).
tcf(c_24733,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),join(X1,complement(join(iPr_def_10,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_24669,c_50,c_49]) ).
tcf(c_24734,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,iPr_def_10)),X0)) = join(iPr_def_10,join(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_24590,c_1671]) ).
tcf(c_24735,plain,
! [X0: $i] : join(iPr_def_10,join(complement(join(iPr_def_10,iPr_def_11)),X0)) = join(iPr_def_10,join(iPr_def_10,X0)),
inference(theory_normalisation,[status(thm)],[c_24734,c_50,c_49]) ).
tcf(c_24742,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),join(X1,join(complement(join(iPr_def_10,X1)),X2)))) = top,
inference(theory_normalisation,[status(thm)],[c_24667,c_50,c_49]) ).
tcf(c_24743,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),join(X1,converse(complement(converse(join(iPr_def_10,X1))))))) = top,
inference(theory_normalisation,[status(thm)],[c_24665,c_50,c_49]) ).
tcf(c_24744,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(join(iPr_def_11,X0)),join(X1,join(X2,complement(join(iPr_def_10,X1)))))) = top,
inference(theory_normalisation,[status(thm)],[c_24664,c_50,c_49]) ).
tcf(c_24745,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(composition(top,join(iPr_def_11,X0))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_24599,c_8588]) ).
tcf(c_24748,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(join(iPr_def_10,X0)))),complement(join(iPr_def_10,join(iPr_def_11,join(X0,complement(join(iPr_def_11,X1))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_24666,c_50,c_49]) ).
tcf(c_24749,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(join(iPr_def_10,X0)),complement(composition(join(iPr_def_10,join(X0,complement(join(iPr_def_11,X1)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_24676,c_50,c_49]) ).
tcf(c_24753,plain,
join(complement(join(iPr_def_12,join(composition(top,iPr_def_10),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_23907,c_376]) ).
tcf(c_24754,plain,
! [X0: $i] : join(iPr_def_12,join(composition(top,iPr_def_10),join(complement(top),X0))) = top,
inference(superposition,[status(thm)],[c_23907,c_7392]) ).
tcf(c_24756,plain,
join(iPr_def_12,join(composition(top,iPr_def_10),complement(top))) = top,
inference(superposition,[status(thm)],[c_23907,c_375]) ).
tcf(c_24757,plain,
! [X0: $i] : join(iPr_def_12,join(composition(top,iPr_def_10),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_23907,c_50]) ).
tcf(c_24758,plain,
! [X0: $i] : join(iPr_def_12,join(X0,composition(top,iPr_def_10))) = join(X0,top),
inference(superposition,[status(thm)],[c_23907,c_191]) ).
tcf(c_24762,plain,
join(iPr_def_11,composition(top,iPr_def_10)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_23907,c_3214]) ).
tcf(c_24764,plain,
join(composition(top,iPr_def_10),composition(iPr_def_12,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_23907,c_23730]) ).
tcf(c_24766,plain,
join(iPr_def_12,join(complement(top),composition(top,iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_24756,c_50,c_49]) ).
tcf(c_24768,plain,
join(composition(iPr_def_12,top),composition(top,iPr_def_10)) = composition(top,top),
inference(theory_normalisation,[status(thm)],[c_24764,c_50,c_49]) ).
tcf(c_24770,plain,
! [X0: $i] : join(iPr_def_12,join(X0,composition(top,iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_24758,c_7015]) ).
tcf(c_24771,plain,
! [X0: $i] : join(iPr_def_12,join(composition(top,iPr_def_10),X0)) = top,
inference(light_normalisation,[status(thm)],[c_24757,c_7096]) ).
tcf(c_24772,plain,
! [X0: $i] : join(iPr_def_12,join(complement(top),join(X0,composition(top,iPr_def_10)))) = top,
inference(theory_normalisation,[status(thm)],[c_24754,c_50,c_49]) ).
tcf(c_24773,plain,
! [X0: $i] : join(iPr_def_12,join(zero,join(X0,composition(top,iPr_def_10)))) = top,
inference(light_normalisation,[status(thm)],[c_24772,c_107]) ).
tcf(c_24776,plain,
join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(iPr_def_12,composition(top,iPr_def_10))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_24753,c_50,c_49]) ).
tcf(c_24787,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),complement(join(X0,join(iPr_def_11,X1)))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_191,c_24725]) ).
tcf(c_24819,plain,
join(complement(iPr_def_12),complement(composition(top,iPr_def_11))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_11631,c_24725]) ).
tcf(c_24822,plain,
! [X0: $i] : join(complement(iPr_def_12),complement(join(X0,iPr_def_11))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_12339,c_24725]) ).
tcf(c_24831,plain,
join(complement(iPr_def_12),complement(top)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_15762,c_24725]) ).
tcf(c_24832,plain,
join(complement(iPr_def_12),complement(iPr_def_11)) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_17888,c_24725]) ).
tcf(c_24837,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(join(iPr_def_11,X0)),converse(complement(converse(complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_24725,c_9717]) ).
tcf(c_24838,plain,
! [X0: $i] : join(complement(join(complement(iPr_def_12),join(complement(join(iPr_def_11,X0)),iPr_def_11))),complement(join(iPr_def_11,complement(complement(iPr_def_12))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_24725,c_376]) ).
tcf(c_24839,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(complement(join(iPr_def_11,X0)),join(complement(complement(iPr_def_12)),X1))) = top,
inference(superposition,[status(thm)],[c_24725,c_7392]) ).
tcf(c_24841,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(join(iPr_def_11,X0)),complement(complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_24725,c_375]) ).
tcf(c_24842,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(complement(join(iPr_def_11,X0)),X1)) = join(complement(iPr_def_12),X1),
inference(superposition,[status(thm)],[c_24725,c_50]) ).
tcf(c_24845,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(X0,complement(join(iPr_def_11,X1)))) = join(X0,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_24725,c_191]) ).
tcf(c_24851,plain,
join(complement(iPr_def_12),join(iPr_def_11,complement(iPr_def_11))) = join(iPr_def_11,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_24725,c_9035]) ).
tcf(c_24855,plain,
join(complement(iPr_def_11),complement(iPr_def_12)) = complement(iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_24832,c_50,c_49]) ).
tcf(c_24874,plain,
join(iPr_def_11,join(complement(iPr_def_11),complement(iPr_def_12))) = join(iPr_def_11,complement(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_24851,c_50,c_49]) ).
tcf(c_24876,plain,
! [X0: $i] : join(complement(iPr_def_12),join(complement(complement(iPr_def_12)),complement(join(iPr_def_11,X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_24841,c_50,c_49]) ).
tcf(c_24877,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(complement(complement(iPr_def_12)),join(X0,complement(join(iPr_def_11,X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_24839,c_50,c_49]) ).
tcf(c_24879,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(complement(iPr_def_12)))),complement(join(iPr_def_11,join(complement(iPr_def_12),complement(join(iPr_def_11,X0)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_24838,c_50,c_49]) ).
tcf(c_24884,plain,
! [X0: $i,X1: $i] : composition(join(X0,X1),iPr_def_10) = composition(join(X1,X0),iPr_def_10),
inference(demodulation,[status(thm)],[c_23733,c_52,c_193,c_399]) ).
tcf(c_24886,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(composition(X0,iPr_def_10),X1))) = converse(join(composition(X1,top),composition(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_49,c_23785]) ).
tcf(c_24888,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(composition(X0,composition(X1,iPr_def_10)),X2))) = converse(join(composition(X0,composition(X1,iPr_def_10)),composition(X2,top))),
inference(superposition,[status(thm)],[c_52,c_23785]) ).
tcf(c_24901,plain,
! [X0: $i] : composition(top,converse(join(zero,X0))) = converse(join(zero,composition(X0,top))),
inference(superposition,[status(thm)],[c_8919,c_23785]) ).
tcf(c_24907,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(composition(X0,iPr_def_10),composition(X1,X2)))) = converse(join(composition(X0,iPr_def_10),composition(X1,composition(X2,top)))),
inference(superposition,[status(thm)],[c_52,c_23785]) ).
tcf(c_24908,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),iPr_def_11))) = converse(join(composition(X0,iPr_def_10),iPr_def_12)),
inference(superposition,[status(thm)],[c_116,c_23785]) ).
tcf(c_24912,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(X1,iPr_def_11)))) = converse(join(composition(X0,iPr_def_10),join(iPr_def_12,composition(X1,top)))),
inference(superposition,[status(thm)],[c_402,c_23785]) ).
tcf(c_24914,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),top))) = converse(join(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_11762,c_23785]) ).
tcf(c_24915,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(iPr_def_10,composition(X1,top))))) = converse(join(composition(X0,iPr_def_10),composition(join(iPr_def_10,X1),composition(top,top)))),
inference(superposition,[status(thm)],[c_445,c_23785]) ).
tcf(c_24916,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(X1,join(iPr_def_10,X2))))) = converse(join(composition(X0,iPr_def_10),join(iPr_def_10,composition(join(X1,X2),top)))),
inference(superposition,[status(thm)],[c_9109,c_23785]) ).
tcf(c_24917,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),one))) = converse(join(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_1708,c_23785]) ).
tcf(c_24918,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),iPr_def_12))) = converse(join(composition(X0,iPr_def_10),iPr_def_12)),
inference(superposition,[status(thm)],[c_11779,c_23785]) ).
tcf(c_24920,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(X1,one)))) = converse(join(composition(X0,iPr_def_10),join(top,composition(X1,top)))),
inference(superposition,[status(thm)],[c_1782,c_23785]) ).
tcf(c_24921,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),zero))) = converse(join(composition(X0,iPr_def_10),zero)),
inference(superposition,[status(thm)],[c_8217,c_23785]) ).
tcf(c_24922,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),converse(iPr_def_12)))) = converse(join(composition(X0,iPr_def_10),composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18563,c_23785]) ).
tcf(c_24923,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),converse(iPr_def_10)))) = converse(join(composition(X0,iPr_def_10),composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19820,c_23785]) ).
tcf(c_24925,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),complement(iPr_def_12)))) = converse(join(composition(X0,iPr_def_10),iPr_def_10)),
inference(superposition,[status(thm)],[c_15143,c_23785]) ).
tcf(c_24926,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(X1,iPr_def_12)))) = converse(join(composition(X0,iPr_def_10),join(iPr_def_12,composition(X1,top)))),
inference(superposition,[status(thm)],[c_11846,c_23785]) ).
tcf(c_24927,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),converse(iPr_def_11)))) = converse(join(composition(X0,iPr_def_10),composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18545,c_23785]) ).
tcf(c_24928,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)))) = converse(join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),composition(X2,top)))),
inference(superposition,[status(thm)],[c_22679,c_23785]) ).
tcf(c_24929,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(X1,composition(X2,iPr_def_10))))) = converse(join(composition(X0,iPr_def_10),join(composition(X2,iPr_def_10),composition(X1,top)))),
inference(superposition,[status(thm)],[c_23730,c_23785]) ).
tcf(c_24930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(join(composition(X0,iPr_def_10),composition(X1,top)),X2)),composition(X3,composition(top,converse(join(composition(X0,iPr_def_10),X1))))) = composition(join(converse(X2),X3),composition(top,converse(join(composition(X0,iPr_def_10),X1)))),
inference(superposition,[status(thm)],[c_23785,c_390]) ).
tcf(c_24931,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),join(X2,converse(complement(composition(top,converse(join(composition(X0,iPr_def_10),X1))))))) = top,
inference(superposition,[status(thm)],[c_23785,c_21139]) ).
tcf(c_24932,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),join(converse(complement(composition(top,converse(join(composition(X0,iPr_def_10),X1))))),X2)) = top,
inference(superposition,[status(thm)],[c_23785,c_21130]) ).
tcf(c_24933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),composition(converse(X2),X3)) = composition(converse(composition(X2,join(composition(X0,iPr_def_10),composition(X1,top)))),X3),
inference(superposition,[status(thm)],[c_23785,c_381]) ).
tcf(c_24934,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(composition(join(composition(X0,iPr_def_10),composition(X1,top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23785,c_17888]) ).
tcf(c_24935,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(join(composition(X0,iPr_def_10),composition(X1,top)),converse(X2)),complement(composition(join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),X2),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23785,c_776]) ).
tcf(c_24936,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(composition(X0,iPr_def_10),composition(X1,top)),complement(composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_23785,c_11899]) ).
tcf(c_24937,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),composition(top,complement(composition(top,composition(join(composition(X0,iPr_def_10),composition(X1,top)),iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23785,c_14347]) ).
tcf(c_24938,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(join(composition(X0,iPr_def_10),composition(X1,top)),complement(composition(top,converse(join(composition(X0,iPr_def_10),X1)))))) = complement(one),
inference(superposition,[status(thm)],[c_23785,c_9621]) ).
tcf(c_24939,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(composition(join(composition(X0,iPr_def_10),composition(X1,top)),iPr_def_10))),X2)) = join(iPr_def_11,X2),
inference(superposition,[status(thm)],[c_23785,c_434]) ).
tcf(c_24940,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),composition(complement(composition(join(composition(X0,iPr_def_10),composition(X1,top)),iPr_def_11)),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_23785,c_1679]) ).
tcf(c_24941,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(composition(join(composition(X0,iPr_def_10),composition(X1,top)),iPr_def_11)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_23785,c_1680]) ).
tcf(c_24943,plain,
! [X0: $i,X1: $i] : join(complement(one),composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(join(composition(X0,iPr_def_10),composition(X1,top))))) = complement(one),
inference(superposition,[status(thm)],[c_23785,c_351]) ).
tcf(c_24944,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_10),composition(X1,top)),complement(composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),top))) = zero,
inference(superposition,[status(thm)],[c_23785,c_9546]) ).
tcf(c_24945,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(composition(join(composition(X0,iPr_def_10),composition(X1,top)),top))) = zero,
inference(superposition,[status(thm)],[c_23785,c_9545]) ).
tcf(c_24946,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),X2)) = join(converse(X2),join(composition(X0,iPr_def_10),composition(X1,top))),
inference(superposition,[status(thm)],[c_23785,c_985]) ).
tcf(c_24947,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),X2)) = composition(converse(X2),join(composition(X0,iPr_def_10),composition(X1,top))),
inference(superposition,[status(thm)],[c_23785,c_226]) ).
tcf(c_24948,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),X2)) = join(join(composition(X0,iPr_def_10),composition(X1,top)),converse(X2)),
inference(superposition,[status(thm)],[c_23785,c_221]) ).
tcf(c_24949,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(composition(X0,iPr_def_10),composition(X1,top)),complement(composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23785,c_432]) ).
tcf(c_24950,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(composition(join(composition(X0,iPr_def_10),composition(X1,top)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23785,c_349]) ).
tcf(c_24951,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),converse(X2)) = converse(composition(X2,join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(superposition,[status(thm)],[c_23785,c_57]) ).
tcf(c_24952,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),converse(X2)) = converse(join(join(composition(X0,iPr_def_10),composition(X1,top)),X2)),
inference(superposition,[status(thm)],[c_23785,c_56]) ).
tcf(c_24953,plain,
! [X0: $i,X1: $i] : converse(composition(top,converse(join(composition(X0,iPr_def_10),X1)))) = join(composition(X0,iPr_def_10),composition(X1,top)),
inference(superposition,[status(thm)],[c_23785,c_55]) ).
tcf(c_24954,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),converse(complement(composition(top,converse(join(composition(X0,iPr_def_10),X1))))))) = top,
inference(superposition,[status(thm)],[c_23785,c_9717]) ).
tcf(c_24955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(X0),composition(composition(top,converse(join(composition(X1,iPr_def_10),X2))),X3)) = composition(converse(composition(join(composition(X1,iPr_def_10),composition(X2,top)),X0)),X3),
inference(superposition,[status(thm)],[c_23785,c_381]) ).
tcf(c_24956,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(composition(top,converse(join(composition(X1,iPr_def_10),X2))),complement(composition(join(composition(X1,iPr_def_10),composition(X2,top)),complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_23785,c_7774]) ).
tcf(c_24957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(composition(top,converse(join(composition(X1,iPr_def_10),X2))),complement(composition(join(composition(X1,iPr_def_10),composition(X2,top)),X0))),X3)) = join(complement(X0),X3),
inference(superposition,[status(thm)],[c_23785,c_362]) ).
tcf(c_24958,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(join(composition(X1,iPr_def_10),composition(X2,top)),complement(composition(composition(top,converse(join(composition(X1,iPr_def_10),X2))),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23785,c_350]) ).
tcf(c_24959,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(X0,composition(top,converse(join(composition(X1,iPr_def_10),X2)))),complement(composition(join(converse(X0),join(composition(X1,iPr_def_10),composition(X2,top))),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23785,c_776]) ).
tcf(c_24960,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,composition(composition(top,converse(join(composition(X1,iPr_def_10),X2))),complement(composition(join(composition(X1,iPr_def_10),composition(X2,top)),iPr_def_10))))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_23785,c_9023]) ).
tcf(c_24961,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,composition(top,converse(join(composition(X1,iPr_def_10),X2))))) = join(join(composition(X1,iPr_def_10),composition(X2,top)),converse(X0)),
inference(superposition,[status(thm)],[c_23785,c_765]) ).
tcf(c_24962,plain,
! [X0: $i,X1: $i,X2: $i] : converse(composition(X0,composition(top,converse(join(composition(X1,iPr_def_10),X2))))) = composition(join(composition(X1,iPr_def_10),composition(X2,top)),converse(X0)),
inference(superposition,[status(thm)],[c_23785,c_225]) ).
tcf(c_24963,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,composition(top,converse(join(composition(X1,iPr_def_10),X2))))) = join(converse(X0),join(composition(X1,iPr_def_10),composition(X2,top))),
inference(superposition,[status(thm)],[c_23785,c_222]) ).
tcf(c_24964,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(composition(top,converse(join(composition(X1,iPr_def_10),X2))),complement(composition(join(composition(X1,iPr_def_10),composition(X2,top)),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_23785,c_76]) ).
tcf(c_24965,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),composition(top,converse(join(composition(X1,iPr_def_10),X2)))) = converse(composition(join(composition(X1,iPr_def_10),composition(X2,top)),X0)),
inference(superposition,[status(thm)],[c_23785,c_57]) ).
tcf(c_24966,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(top,converse(join(composition(X1,iPr_def_10),X2)))) = converse(join(X0,join(composition(X1,iPr_def_10),composition(X2,top)))),
inference(superposition,[status(thm)],[c_23785,c_56]) ).
tcf(c_24967,plain,
! [X0: $i] : converse(join(zero,composition(X0,top))) = composition(top,converse(X0)),
inference(light_normalisation,[status(thm)],[c_24901,c_1336]) ).
tcf(c_24968,plain,
! [X0: $i] : composition(top,converse(join(zero,composition(X0,iPr_def_10)))) = converse(join(zero,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24921,c_50,c_49]) ).
tcf(c_24969,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_12,composition(X0,iPr_def_10)))) = converse(join(iPr_def_12,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24918,c_50,c_49]) ).
tcf(c_24970,plain,
! [X0: $i] : composition(top,converse(join(one,composition(X0,iPr_def_10)))) = converse(join(top,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24917,c_50,c_49]) ).
tcf(c_24971,plain,
! [X0: $i] : composition(top,converse(join(top,composition(X0,iPr_def_10)))) = converse(join(top,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24914,c_50,c_49]) ).
tcf(c_24973,plain,
! [X0: $i] : composition(top,converse(join(iPr_def_11,composition(X0,iPr_def_10)))) = converse(join(iPr_def_12,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24908,c_50,c_49]) ).
tcf(c_24974,plain,
! [X0: $i] : composition(top,converse(join(complement(iPr_def_12),composition(X0,iPr_def_10)))) = converse(join(iPr_def_10,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24925,c_50,c_49]) ).
tcf(c_24975,plain,
! [X0: $i] : composition(top,converse(join(converse(iPr_def_11),composition(X0,iPr_def_10)))) = converse(join(composition(X0,iPr_def_10),composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_24927,c_50,c_49]) ).
tcf(c_24976,plain,
! [X0: $i] : composition(top,converse(join(converse(iPr_def_10),composition(X0,iPr_def_10)))) = converse(join(composition(X0,iPr_def_10),composition(top,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_24923,c_50,c_49]) ).
tcf(c_24977,plain,
! [X0: $i] : composition(top,converse(join(converse(iPr_def_10),composition(X0,iPr_def_10)))) = converse(composition(top,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_24976,c_18522]) ).
tcf(c_24978,plain,
! [X0: $i] : composition(top,converse(join(converse(iPr_def_12),composition(X0,iPr_def_10)))) = converse(join(composition(X0,iPr_def_10),composition(top,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_24922,c_50,c_49]) ).
tcf(c_24980,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_12,join(X0,composition(X1,iPr_def_10))))) = converse(join(iPr_def_12,join(composition(X1,iPr_def_10),composition(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_24926,c_50,c_49]) ).
tcf(c_24982,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(one,join(X0,composition(X1,iPr_def_10))))) = converse(join(top,join(composition(X1,iPr_def_10),composition(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_24920,c_50,c_49]) ).
tcf(c_24985,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_11,join(X0,composition(X1,iPr_def_10))))) = converse(join(iPr_def_12,join(composition(X1,iPr_def_10),composition(X0,top)))),
inference(theory_normalisation,[status(thm)],[c_24912,c_50,c_49]) ).
tcf(c_24989,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(X0,composition(top,converse(join(composition(X1,iPr_def_10),X2))))) = join(composition(X1,iPr_def_10),join(composition(X2,top),converse(X0))),
inference(theory_normalisation,[status(thm)],[c_24961,c_50,c_49]) ).
tcf(c_24990,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),converse(X2)) = converse(join(composition(X0,iPr_def_10),join(composition(X1,top),X2))),
inference(theory_normalisation,[status(thm)],[c_24952,c_50,c_49]) ).
tcf(c_24991,plain,
! [X0: $i,X1: $i,X2: $i] : converse(join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),X2)) = join(composition(X0,iPr_def_10),join(composition(X1,top),converse(X2))),
inference(theory_normalisation,[status(thm)],[c_24948,c_50,c_49]) ).
tcf(c_24992,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),join(converse(complement(composition(top,converse(join(composition(X0,iPr_def_10),X1))))),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_24932,c_50,c_49]) ).
tcf(c_24993,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),join(X2,converse(complement(composition(top,converse(join(composition(X0,iPr_def_10),X1)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_24931,c_50,c_49]) ).
tcf(c_24994,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(iPr_def_10,join(X0,join(X1,composition(X2,iPr_def_10)))))) = converse(join(iPr_def_10,join(composition(X2,iPr_def_10),composition(join(X0,X1),top)))),
inference(theory_normalisation,[status(thm)],[c_24916,c_50,c_49]) ).
tcf(c_24995,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))))) = converse(join(composition(X0,iPr_def_10),composition(join(iPr_def_10,X1),composition(top,top)))),
inference(theory_normalisation,[status(thm)],[c_24915,c_50,c_49]) ).
tcf(c_24996,plain,
! [X0: $i,X1: $i] : composition(top,composition(top,converse(join(iPr_def_10,join(composition(X0,iPr_def_10),X1))))) = composition(top,converse(join(iPr_def_10,join(composition(X0,iPr_def_10),X1)))),
inference(light_normalisation,[status(thm)],[c_24995,c_11762,c_23784,c_23812]) ).
tcf(c_24997,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(composition(X0,iPr_def_10),join(composition(X1,top),converse(X2))),complement(composition(join(composition(top,converse(join(composition(X0,iPr_def_10),X1))),X2),iPr_def_10)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_24935,c_50,c_49]) ).
tcf(c_24998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(composition(join(X0,composition(X1,iPr_def_10)),composition(top,X2))),composition(X3,composition(top,converse(join(composition(X1,iPr_def_10),X0))))) = composition(join(converse(X2),X3),composition(top,converse(join(composition(X1,iPr_def_10),X0)))),
inference(light_normalisation,[status(thm)],[c_24930,c_23888]) ).
tcf(c_25034,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(converse(X0),top)))) = zero,
inference(superposition,[status(thm)],[c_765,c_23788]) ).
tcf(c_25035,plain,
! [X0: $i,X1: $i] : composition(join(converse(composition(X0,iPr_def_10)),X1),complement(join(composition(X0,iPr_def_10),composition(converse(X1),top)))) = zero,
inference(superposition,[status(thm)],[c_222,c_23788]) ).
tcf(c_25036,plain,
! [X0: $i] : composition(join(one,converse(composition(X0,iPr_def_10))),complement(join(composition(X0,iPr_def_10),composition(one,top)))) = zero,
inference(superposition,[status(thm)],[c_1729,c_23788]) ).
tcf(c_25037,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(join(composition(X0,iPr_def_10),X1))),complement(join(composition(X0,iPr_def_10),composition(composition(X1,top),top)))) = zero,
inference(superposition,[status(thm)],[c_23785,c_23788]) ).
tcf(c_25041,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,X1),iPr_def_10)),complement(join(composition(X0,iPr_def_10),composition(composition(X1,iPr_def_10),top)))) = zero,
inference(superposition,[status(thm)],[c_54,c_23788]) ).
tcf(c_25042,plain,
! [X0: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(complement(composition(X0,iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_59,c_23788]) ).
tcf(c_25043,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(composition(X1,iPr_def_10),X2))),complement(join(composition(X1,iPr_def_10),composition(join(X0,X2),top)))) = zero,
inference(superposition,[status(thm)],[c_191,c_23788]) ).
tcf(c_25044,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,complement(join(composition(X0,iPr_def_10),X1))),top)))) = zero,
inference(superposition,[status(thm)],[c_375,c_23788]) ).
tcf(c_25045,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(complement(composition(X0,iPr_def_10)),X1),top)))) = zero,
inference(superposition,[status(thm)],[c_7124,c_23788]) ).
tcf(c_25046,plain,
! [X0: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(top,top)))) = zero,
inference(superposition,[status(thm)],[c_7015,c_23788]) ).
tcf(c_25047,plain,
! [X0: $i] : composition(converse(composition(X0,iPr_def_10)),complement(join(composition(X0,iPr_def_10),composition(zero,top)))) = zero,
inference(superposition,[status(thm)],[c_1429,c_23788]) ).
tcf(c_25048,plain,
! [X0: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(converse(complement(converse(composition(X0,iPr_def_10)))),top)))) = zero,
inference(superposition,[status(thm)],[c_2345,c_23788]) ).
tcf(c_25049,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,converse(complement(converse(join(composition(X0,iPr_def_10),X1))))),top)))) = zero,
inference(superposition,[status(thm)],[c_9717,c_23788]) ).
tcf(c_25050,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(converse(complement(converse(composition(X0,iPr_def_10)))),X1),top)))) = zero,
inference(superposition,[status(thm)],[c_21130,c_23788]) ).
tcf(c_25051,plain,
! [X0: $i] : composition(converse(composition(X0,iPr_def_10)),complement(join(composition(X0,iPr_def_10),composition(composition(X0,iPr_def_10),top)))) = zero,
inference(superposition,[status(thm)],[c_7769,c_23788]) ).
tcf(c_25052,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,one),composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(composition(X0,composition(X1,iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_1782,c_23788]) ).
tcf(c_25053,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(one,X0),composition(X1,iPr_def_10))),complement(join(composition(X1,iPr_def_10),composition(composition(X0,composition(X1,iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_1767,c_23788]) ).
tcf(c_25054,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,complement(composition(X0,iPr_def_10))),top)))) = zero,
inference(superposition,[status(thm)],[c_7426,c_23788]) ).
tcf(c_25055,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,join(complement(join(composition(X0,iPr_def_10),X1)),X2)),top)))) = zero,
inference(superposition,[status(thm)],[c_7392,c_23788]) ).
tcf(c_25056,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,iPr_def_10)),complement(join(composition(X0,iPr_def_10),composition(composition(converse(X1),complement(composition(X1,complement(composition(X0,iPr_def_10))))),top)))) = zero,
inference(superposition,[status(thm)],[c_7774,c_23788]) ).
tcf(c_25057,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X0,iPr_def_10),composition(join(composition(X0,iPr_def_10),X1),top)))) = zero,
inference(superposition,[status(thm)],[c_7878,c_23788]) ).
tcf(c_25058,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,converse(complement(converse(composition(X0,iPr_def_10))))),top)))) = zero,
inference(superposition,[status(thm)],[c_21139,c_23788]) ).
tcf(c_25059,plain,
! [X0: $i] : composition(converse(composition(top,composition(X0,iPr_def_10))),complement(join(composition(X0,iPr_def_10),composition(composition(complement(one),composition(X0,iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_11631,c_23788]) ).
tcf(c_25060,plain,
! [X0: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(composition(top,complement(composition(X0,iPr_def_10))),top)))) = zero,
inference(superposition,[status(thm)],[c_11752,c_23788]) ).
tcf(c_25061,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,join(X2,complement(join(composition(X0,iPr_def_10),X1)))),top)))) = zero,
inference(superposition,[status(thm)],[c_12854,c_23788]) ).
tcf(c_25062,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,join(X2,complement(composition(X0,iPr_def_10)))),top)))) = zero,
inference(superposition,[status(thm)],[c_12833,c_23788]) ).
tcf(c_25063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,join(X2,join(X3,complement(composition(X0,iPr_def_10))))),top)))) = zero,
inference(superposition,[status(thm)],[c_13081,c_23788]) ).
tcf(c_25083,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X1,top),composition(X0,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_49,c_23788]) ).
tcf(c_25085,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(X0,composition(X1,iPr_def_10)),X2)),complement(join(composition(X0,composition(X1,iPr_def_10)),composition(X2,top)))) = zero,
inference(superposition,[status(thm)],[c_52,c_23788]) ).
tcf(c_25098,plain,
! [X0: $i] : composition(converse(join(zero,X0)),complement(join(zero,composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_8919,c_23788]) ).
tcf(c_25104,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(X0,iPr_def_10),composition(X1,X2))),complement(join(composition(X0,iPr_def_10),composition(X1,composition(X2,top))))) = zero,
inference(superposition,[status(thm)],[c_52,c_23788]) ).
tcf(c_25105,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),iPr_def_11)),complement(join(composition(X0,iPr_def_10),iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_116,c_23788]) ).
tcf(c_25109,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),join(X1,iPr_def_11))),complement(join(composition(X0,iPr_def_10),join(iPr_def_12,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_402,c_23788]) ).
tcf(c_25111,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),top)),complement(join(composition(X0,iPr_def_10),top))) = zero,
inference(superposition,[status(thm)],[c_11762,c_23788]) ).
tcf(c_25112,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),join(iPr_def_10,composition(X1,top)))),complement(join(composition(X0,iPr_def_10),composition(join(iPr_def_10,X1),composition(top,top))))) = zero,
inference(superposition,[status(thm)],[c_445,c_23788]) ).
tcf(c_25113,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(X0,iPr_def_10),join(X1,join(iPr_def_10,X2)))),complement(join(composition(X0,iPr_def_10),join(iPr_def_10,composition(join(X1,X2),top))))) = zero,
inference(superposition,[status(thm)],[c_9109,c_23788]) ).
tcf(c_25114,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),one)),complement(join(composition(X0,iPr_def_10),top))) = zero,
inference(superposition,[status(thm)],[c_1708,c_23788]) ).
tcf(c_25115,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),iPr_def_12)),complement(join(composition(X0,iPr_def_10),iPr_def_12))) = zero,
inference(superposition,[status(thm)],[c_11779,c_23788]) ).
tcf(c_25117,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),join(X1,one))),complement(join(composition(X0,iPr_def_10),join(top,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_1782,c_23788]) ).
tcf(c_25118,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),zero)),complement(join(composition(X0,iPr_def_10),zero))) = zero,
inference(superposition,[status(thm)],[c_8217,c_23788]) ).
tcf(c_25119,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),converse(iPr_def_12))),complement(join(composition(X0,iPr_def_10),composition(top,iPr_def_11)))) = zero,
inference(superposition,[status(thm)],[c_18563,c_23788]) ).
tcf(c_25120,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),converse(iPr_def_10))),complement(join(composition(X0,iPr_def_10),composition(top,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_19820,c_23788]) ).
tcf(c_25122,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),complement(iPr_def_12))),complement(join(composition(X0,iPr_def_10),iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_15143,c_23788]) ).
tcf(c_25123,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),join(X1,iPr_def_12))),complement(join(composition(X0,iPr_def_10),join(iPr_def_12,composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_11846,c_23788]) ).
tcf(c_25124,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),converse(iPr_def_11))),complement(join(composition(X0,iPr_def_10),composition(top,iPr_def_11)))) = zero,
inference(superposition,[status(thm)],[c_18545,c_23788]) ).
tcf(c_25125,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2))),complement(join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),composition(X2,top))))) = zero,
inference(superposition,[status(thm)],[c_22679,c_23788]) ).
tcf(c_25126,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(X0,iPr_def_10),join(X1,composition(X2,iPr_def_10)))),complement(join(composition(X0,iPr_def_10),join(composition(X2,iPr_def_10),composition(X1,top))))) = zero,
inference(superposition,[status(thm)],[c_23730,c_23788]) ).
tcf(c_25127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,converse(join(composition(X1,iPr_def_10),X2))),X3),complement(join(composition(X1,iPr_def_10),composition(X2,top)))) = join(composition(X0,zero),composition(X3,complement(join(composition(X1,iPr_def_10),composition(X2,top))))),
inference(superposition,[status(thm)],[c_23788,c_388]) ).
tcf(c_25128,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(join(composition(X1,iPr_def_10),X2)),composition(complement(join(composition(X1,iPr_def_10),composition(X2,top))),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_23788,c_385]) ).
tcf(c_25129,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X2),converse(converse(join(composition(X0,iPr_def_10),X1)))) = join(converse(zero),composition(X2,converse(converse(join(composition(X0,iPr_def_10),X1))))),
inference(superposition,[status(thm)],[c_23788,c_390]) ).
tcf(c_25130,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(join(composition(X0,iPr_def_10),X1)),composition(complement(join(composition(X0,iPr_def_10),composition(X1,top))),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_23788,c_433]) ).
tcf(c_25131,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(join(composition(X0,iPr_def_10),X1)),X2),complement(join(composition(X0,iPr_def_10),composition(X1,top)))) = join(zero,composition(X2,complement(join(composition(X0,iPr_def_10),composition(X1,top))))),
inference(superposition,[status(thm)],[c_23788,c_54]) ).
tcf(c_25132,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(X0,iPr_def_10),X1)),composition(complement(join(composition(X0,iPr_def_10),composition(X1,top))),X2)) = composition(zero,X2),
inference(superposition,[status(thm)],[c_23788,c_52]) ).
tcf(c_25133,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(composition(X1,iPr_def_10),X2))),complement(join(composition(X1,iPr_def_10),composition(X2,top)))) = join(composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top)))),zero),
inference(superposition,[status(thm)],[c_23788,c_54]) ).
tcf(c_25134,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),join(composition(converse(converse(join(composition(X0,iPr_def_10),X1))),complement(zero)),X2)) = join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X2),
inference(superposition,[status(thm)],[c_23788,c_362]) ).
tcf(c_25136,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(join(composition(X0,iPr_def_10),X1))),complement(join(composition(X0,iPr_def_10),composition(X1,top)))) = join(complement(join(composition(X0,iPr_def_10),composition(X1,top))),zero),
inference(superposition,[status(thm)],[c_23788,c_1767]) ).
tcf(c_25137,plain,
! [X0: $i,X1: $i] : join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),composition(converse(converse(join(composition(X0,iPr_def_10),X1))),complement(zero))) = complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(superposition,[status(thm)],[c_23788,c_76]) ).
tcf(c_25138,plain,
! [X0: $i,X1: $i] : join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),composition(join(composition(X0,iPr_def_10),X1),complement(zero))) = complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(superposition,[status(thm)],[c_23788,c_350]) ).
tcf(c_25139,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),join(composition(X0,iPr_def_10),X1)) = converse(zero),
inference(superposition,[status(thm)],[c_23788,c_226]) ).
tcf(c_25140,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(join(composition(X0,iPr_def_10),X1),X2)),complement(join(composition(X0,iPr_def_10),composition(X1,top)))) = composition(converse(X2),zero),
inference(superposition,[status(thm)],[c_23788,c_381]) ).
tcf(c_25141,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),composition(converse(composition(X2,converse(join(composition(X0,iPr_def_10),X1)))),complement(composition(X2,zero)))) = complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(superposition,[status(thm)],[c_23788,c_385]) ).
tcf(c_25142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),converse(join(composition(X2,iPr_def_10),X3))),complement(join(composition(X2,iPr_def_10),composition(X3,top)))) = join(composition(X0,composition(X1,complement(join(composition(X2,iPr_def_10),composition(X3,top))))),zero),
inference(superposition,[status(thm)],[c_23788,c_388]) ).
tcf(c_25143,plain,
! [X0: $i,X1: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),composition(converse(converse(join(composition(X0,iPr_def_10),X1))),complement(zero))) = join(composition(X0,iPr_def_10),composition(X1,top)),
inference(superposition,[status(thm)],[c_23788,c_7774]) ).
tcf(c_25144,plain,
! [X0: $i] : composition(converse(X0),complement(join(zero,composition(X0,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_25098,c_1336]) ).
tcf(c_25145,plain,
! [X0: $i] : composition(top,complement(join(composition(X0,iPr_def_10),top))) = zero,
inference(light_normalisation,[status(thm)],[c_25046,c_2343,c_11762]) ).
tcf(c_25146,plain,
! [X0: $i] : composition(top,complement(join(top,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25145,c_50,c_49]) ).
tcf(c_25147,plain,
! [X0: $i] : composition(converse(join(zero,composition(X0,iPr_def_10))),complement(join(zero,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25118,c_50,c_49]) ).
tcf(c_25148,plain,
! [X0: $i] : composition(converse(join(iPr_def_12,composition(X0,iPr_def_10))),complement(join(iPr_def_12,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25115,c_50,c_49]) ).
tcf(c_25149,plain,
! [X0: $i] : composition(converse(join(one,composition(X0,iPr_def_10))),complement(join(top,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25114,c_50,c_49]) ).
tcf(c_25150,plain,
! [X0: $i] : composition(converse(join(top,composition(X0,iPr_def_10))),complement(join(top,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25111,c_50,c_49]) ).
tcf(c_25152,plain,
! [X0: $i] : composition(converse(join(iPr_def_11,composition(X0,iPr_def_10))),complement(join(iPr_def_12,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25105,c_50,c_49]) ).
tcf(c_25153,plain,
! [X0: $i] : composition(converse(join(complement(iPr_def_12),composition(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25122,c_50,c_49]) ).
tcf(c_25155,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),join(composition(X0,iPr_def_10),X1)) = zero,
inference(light_normalisation,[status(thm)],[c_25139,c_1950]) ).
tcf(c_25156,plain,
! [X0: $i] : composition(converse(join(converse(iPr_def_11),composition(X0,iPr_def_10))),complement(join(composition(X0,iPr_def_10),composition(top,iPr_def_11)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25124,c_50,c_49]) ).
tcf(c_25157,plain,
! [X0: $i] : composition(converse(join(converse(iPr_def_10),composition(X0,iPr_def_10))),complement(join(composition(X0,iPr_def_10),composition(top,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25120,c_50,c_49]) ).
tcf(c_25158,plain,
! [X0: $i] : composition(converse(join(converse(iPr_def_10),composition(X0,iPr_def_10))),complement(composition(top,iPr_def_10))) = zero,
inference(light_normalisation,[status(thm)],[c_25157,c_18522]) ).
tcf(c_25159,plain,
! [X0: $i] : composition(converse(join(converse(iPr_def_12),composition(X0,iPr_def_10))),complement(join(composition(X0,iPr_def_10),composition(top,iPr_def_11)))) = zero,
inference(theory_normalisation,[status(thm)],[c_25119,c_50,c_49]) ).
tcf(c_25164,plain,
! [X0: $i,X1: $i] : composition(converse(composition(join(X0,X1),iPr_def_10)),complement(composition(composition(join(X1,X0),iPr_def_10),top))) = zero,
inference(light_normalisation,[status(thm)],[c_25041,c_23857]) ).
tcf(c_25169,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_12,join(X0,composition(X1,iPr_def_10)))),complement(join(iPr_def_12,join(composition(X1,iPr_def_10),composition(X0,top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_25123,c_50,c_49]) ).
tcf(c_25171,plain,
! [X0: $i,X1: $i] : composition(converse(join(one,join(X0,composition(X1,iPr_def_10)))),complement(join(top,join(composition(X1,iPr_def_10),composition(X0,top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_25117,c_50,c_49]) ).
tcf(c_25174,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_11,join(X0,composition(X1,iPr_def_10)))),complement(join(iPr_def_12,join(composition(X1,iPr_def_10),composition(X0,top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_25109,c_50,c_49]) ).
tcf(c_25179,plain,
! [X0: $i,X1: $i] : composition(converse(join(composition(X0,iPr_def_10),X1)),complement(join(composition(X0,iPr_def_10),join(composition(X0,iPr_def_10),composition(X1,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_25057,c_22679]) ).
tcf(c_25182,plain,
! [X0: $i] : composition(converse(composition(top,composition(X0,iPr_def_10))),complement(composition(composition(top,composition(X0,iPr_def_10)),top))) = zero,
inference(light_normalisation,[status(thm)],[c_25059,c_23751]) ).
tcf(c_25185,plain,
! [X0: $i] : composition(converse(composition(X0,iPr_def_10)),complement(composition(composition(X0,iPr_def_10),top))) = zero,
inference(light_normalisation,[status(thm)],[c_25056,c_23748]) ).
tcf(c_25186,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(join(composition(X0,iPr_def_10),X1)),composition(complement(join(composition(X0,iPr_def_10),composition(X1,top))),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25130,c_1950]) ).
tcf(c_25187,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(iPr_def_10,join(X0,join(X1,composition(X2,iPr_def_10))))),complement(join(iPr_def_10,join(composition(X2,iPr_def_10),composition(join(X0,X1),top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_25113,c_50,c_49]) ).
tcf(c_25188,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top)))),complement(join(composition(X0,iPr_def_10),composition(join(iPr_def_10,X1),composition(top,top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_25112,c_50,c_49]) ).
tcf(c_25189,plain,
! [X0: $i,X1: $i] : composition(composition(top,converse(join(iPr_def_10,join(composition(X0,iPr_def_10),X1)))),complement(join(iPr_def_10,join(composition(X0,iPr_def_10),composition(X1,top))))) = zero,
inference(light_normalisation,[status(thm)],[c_25188,c_11762,c_23784,c_23812]) ).
tcf(c_25190,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),composition(converse(converse(join(composition(X0,iPr_def_10),X1))),complement(zero)))) = join(composition(X0,iPr_def_10),composition(X1,top)),
inference(theory_normalisation,[status(thm)],[c_25143,c_50,c_49]) ).
tcf(c_25191,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),composition(converse(converse(join(composition(X0,iPr_def_10),X1))),top))) = join(composition(X0,iPr_def_10),composition(X1,top)),
inference(light_normalisation,[status(thm)],[c_25190,c_1431]) ).
tcf(c_25192,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(zero,complement(composition(converse(join(composition(X1,iPr_def_10),X2)),composition(complement(join(composition(X1,iPr_def_10),composition(X2,top))),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25128,c_1950]) ).
tcf(c_25193,plain,
! [X0: $i,X1: $i] : join(composition(join(composition(X0,iPr_def_10),X1),complement(zero)),complement(complement(join(composition(X0,iPr_def_10),composition(X1,top))))) = complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(theory_normalisation,[status(thm)],[c_25138,c_50,c_49]) ).
tcf(c_25194,plain,
! [X0: $i,X1: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),complement(complement(join(composition(X0,iPr_def_10),composition(X1,top))))) = complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(light_normalisation,[status(thm)],[c_25193,c_1431,c_22679]) ).
tcf(c_25195,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))))) = complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(theory_normalisation,[status(thm)],[c_25194,c_50,c_49]) ).
tcf(c_25196,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(join(composition(X0,iPr_def_10),X1))),complement(join(composition(X0,iPr_def_10),composition(X1,top)))) = join(zero,complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(theory_normalisation,[status(thm)],[c_25136,c_50,c_49]) ).
tcf(c_25198,plain,
! [X0: $i,X1: $i] : join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),composition(converse(converse(join(composition(X0,iPr_def_10),X1))),top)) = complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),
inference(light_normalisation,[status(thm)],[c_25137,c_1431]) ).
tcf(c_25199,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(join(composition(X1,iPr_def_10),X2))),complement(join(composition(X1,iPr_def_10),composition(X2,top)))) = join(zero,composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top))))),
inference(theory_normalisation,[status(thm)],[c_25133,c_50,c_49]) ).
tcf(c_25200,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X2),converse(converse(join(composition(X0,iPr_def_10),X1)))) = join(zero,composition(X2,converse(converse(join(composition(X0,iPr_def_10),X1))))),
inference(light_normalisation,[status(thm)],[c_25129,c_1950]) ).
tcf(c_25201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),converse(join(composition(X2,iPr_def_10),X3))),complement(join(composition(X2,iPr_def_10),composition(X3,top)))) = join(zero,composition(X0,composition(X1,complement(join(composition(X2,iPr_def_10),composition(X3,top)))))),
inference(theory_normalisation,[status(thm)],[c_25142,c_50,c_49]) ).
tcf(c_25202,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),join(composition(converse(converse(join(composition(X0,iPr_def_10),X1))),top),X2)) = join(complement(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X2),
inference(light_normalisation,[status(thm)],[c_25134,c_1431]) ).
tcf(c_25203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,converse(join(composition(X1,iPr_def_10),X2))),X3),complement(join(composition(X1,iPr_def_10),composition(X2,top)))) = join(zero,composition(X3,complement(join(composition(X1,iPr_def_10),composition(X2,top))))),
inference(light_normalisation,[status(thm)],[c_25127,c_8201]) ).
tcf(c_25205,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,top),X1),converse(iPr_def_10)) = composition(join(X1,X0),converse(iPr_def_10)),
inference(demodulation,[status(thm)],[c_22738,c_399]) ).
tcf(c_25208,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,top)),converse(iPr_def_10)) = composition(join(X0,X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_49,c_25205]) ).
tcf(c_25211,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,top),X1),converse(iPr_def_10)) = composition(composition(join(X1,X0),top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_54,c_25205]) ).
tcf(c_25212,plain,
! [X0: $i] : composition(join(complement(composition(X0,top)),X0),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_59,c_25205]) ).
tcf(c_25213,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,top),X2)),converse(iPr_def_10)) = composition(join(join(X0,X2),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_191,c_25205]) ).
tcf(c_25214,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(join(composition(X1,top),X0))),X1),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_375,c_25205]) ).
tcf(c_25215,plain,
! [X0: $i,X1: $i] : composition(join(join(complement(composition(X0,top)),X1),X0),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_7124,c_25205]) ).
tcf(c_25216,plain,
! [X0: $i] : composition(join(top,X0),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_7015,c_25205]) ).
tcf(c_25217,plain,
! [X0: $i] : composition(join(zero,X0),converse(iPr_def_10)) = composition(composition(X0,top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_1429,c_25205]) ).
tcf(c_25218,plain,
! [X0: $i] : composition(join(converse(complement(converse(composition(X0,top)))),X0),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_2345,c_25205]) ).
tcf(c_25219,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(complement(converse(join(composition(X1,top),X0))))),X1),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9717,c_25205]) ).
tcf(c_25220,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(complement(converse(composition(X0,top)))),X1),X0),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_21130,c_25205]) ).
tcf(c_25221,plain,
! [X0: $i] : composition(join(composition(X0,top),X0),converse(iPr_def_10)) = composition(composition(X0,top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_7769,c_25205]) ).
tcf(c_25222,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,composition(X1,top)),X1),converse(iPr_def_10)) = composition(composition(join(X0,one),composition(X1,top)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_1782,c_25205]) ).
tcf(c_25223,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,composition(X1,top)),X1),converse(iPr_def_10)) = composition(composition(join(one,X0),composition(X1,top)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_1767,c_25205]) ).
tcf(c_25224,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(composition(X1,top))),X1),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_7426,c_25205]) ).
tcf(c_25225,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(complement(join(composition(X1,top),X0)),X2)),X1),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_7392,c_25205]) ).
tcf(c_25226,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(X0),complement(composition(X0,complement(composition(X1,top))))),X1),converse(iPr_def_10)) = composition(composition(X1,top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_7774,c_25205]) ).
tcf(c_25227,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(X0,top),X1),X0),converse(iPr_def_10)) = composition(join(composition(X0,top),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_7878,c_25205]) ).
tcf(c_25228,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(complement(converse(composition(X1,top))))),X1),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_21139,c_25205]) ).
tcf(c_25229,plain,
! [X0: $i] : composition(join(composition(complement(one),composition(X0,top)),X0),converse(iPr_def_10)) = composition(composition(top,composition(X0,top)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11631,c_25205]) ).
tcf(c_25230,plain,
! [X0: $i] : composition(join(composition(top,complement(composition(X0,top))),X0),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11752,c_25205]) ).
tcf(c_25231,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(join(composition(X2,top),X0)))),X2),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_12854,c_25205]) ).
tcf(c_25232,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(composition(X2,top)))),X2),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_12833,c_25205]) ).
tcf(c_25233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,join(X2,complement(composition(X3,top))))),X3),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_13081,c_25205]) ).
tcf(c_25234,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,composition(X1,top)),X2),converse(iPr_def_10)) = composition(join(X2,composition(X0,X1)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_52,c_25205]) ).
tcf(c_25235,plain,
! [X0: $i] : composition(join(X0,iPr_def_11),converse(iPr_def_10)) = composition(join(iPr_def_12,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_116,c_25205]) ).
tcf(c_25237,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_12,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_11,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_391,c_25205]) ).
tcf(c_25238,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_392,c_25205]) ).
tcf(c_25239,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_12,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(X0,iPr_def_11)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_402,c_25205]) ).
tcf(c_25240,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(X0,iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_401,c_25205]) ).
tcf(c_25242,plain,
! [X0: $i,X1: $i] : composition(join(composition(join(iPr_def_10,X0),composition(top,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_10,composition(X0,top))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_445,c_25205]) ).
tcf(c_25243,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(iPr_def_10,composition(join(X0,X1),top)),X2),converse(iPr_def_10)) = composition(join(X2,join(X0,join(iPr_def_10,X1))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9109,c_25205]) ).
tcf(c_25244,plain,
! [X0: $i] : composition(join(X0,one),converse(iPr_def_10)) = composition(join(top,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_1708,c_25205]) ).
tcf(c_25246,plain,
! [X0: $i,X1: $i] : composition(join(join(top,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(one,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_1767,c_25205]) ).
tcf(c_25247,plain,
! [X0: $i,X1: $i] : composition(join(join(top,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(X0,one)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_1782,c_25205]) ).
tcf(c_25249,plain,
! [X0: $i] : composition(join(composition(top,iPr_def_11),X0),converse(iPr_def_10)) = composition(join(X0,converse(iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_18563,c_25205]) ).
tcf(c_25250,plain,
! [X0: $i] : composition(join(composition(top,iPr_def_10),X0),converse(iPr_def_10)) = composition(join(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_19820,c_25205]) ).
tcf(c_25251,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_12,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_12,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11839,c_25205]) ).
tcf(c_25252,plain,
! [X0: $i] : composition(join(X0,complement(iPr_def_12)),converse(iPr_def_10)) = composition(join(iPr_def_10,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_15143,c_25205]) ).
tcf(c_25253,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_12,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(X0,iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11846,c_25205]) ).
tcf(c_25254,plain,
! [X0: $i] : composition(join(composition(top,iPr_def_11),X0),converse(iPr_def_10)) = composition(join(X0,converse(iPr_def_11)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_18545,c_25205]) ).
tcf(c_25255,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(composition(X0,iPr_def_10),composition(X1,top)),X2),converse(iPr_def_10)) = composition(join(X2,join(composition(X0,iPr_def_10),X1)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_22679,c_25205]) ).
tcf(c_25256,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(composition(X0,iPr_def_10),composition(X1,top)),X2),converse(iPr_def_10)) = composition(join(X2,join(X1,composition(X0,iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_23730,c_25205]) ).
tcf(c_25257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(join(X1,X2),converse(iPr_def_10))),composition(X3,converse(iPr_def_10))) = composition(join(composition(X0,join(composition(X2,top),X1)),X3),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_388]) ).
tcf(c_25258,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(composition(join(X1,X2),converse(iPr_def_10))),complement(composition(join(composition(X2,top),X1),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25205,c_385]) ).
tcf(c_25259,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(X0,X1),converse(iPr_def_10))),composition(X2,converse(join(composition(X1,top),X0)))) = composition(join(converse(converse(iPr_def_10)),X2),converse(join(composition(X1,top),X0))),
inference(superposition,[status(thm)],[c_25205,c_390]) ).
tcf(c_25260,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(join(X0,X1),converse(iPr_def_10))),complement(composition(join(composition(X1,top),X0),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25205,c_433]) ).
tcf(c_25261,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),composition(X2,converse(iPr_def_10))) = composition(join(join(composition(X1,top),X0),X2),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_54]) ).
tcf(c_25262,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,top),X1),composition(converse(iPr_def_10),X2)) = composition(composition(join(X1,X0),converse(iPr_def_10)),X2),
inference(superposition,[status(thm)],[c_25205,c_52]) ).
tcf(c_25263,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(iPr_def_10)),composition(join(X1,X2),converse(iPr_def_10))) = composition(join(X0,join(composition(X2,top),X1)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_54]) ).
tcf(c_25264,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(composition(X0,top),X1)),complement(composition(join(X1,X0),converse(iPr_def_10)))),X2)) = join(complement(converse(iPr_def_10)),X2),
inference(superposition,[status(thm)],[c_25205,c_362]) ).
tcf(c_25265,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(X0,top),X1),one),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(join(X1,X0),converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25205,c_1782]) ).
tcf(c_25266,plain,
! [X0: $i,X1: $i] : composition(join(one,join(composition(X0,top),X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(join(X1,X0),converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25205,c_1767]) ).
tcf(c_25267,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(composition(X0,top),X1)),complement(composition(join(X1,X0),converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_76]) ).
tcf(c_25268,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,converse(join(composition(X0,top),X1))) = converse(composition(join(X1,X0),converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25205,c_225]) ).
tcf(c_25269,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(composition(X1,top),X2))),complement(composition(X0,composition(join(X2,X1),converse(iPr_def_10)))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_385]) ).
tcf(c_25270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,converse(iPr_def_10))),composition(join(X2,X3),converse(iPr_def_10))) = composition(join(composition(X0,X1),join(composition(X3,top),X2)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_388]) ).
tcf(c_25271,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(iPr_def_10,X0)),composition(join(X1,X2),converse(iPr_def_10))) = composition(join(converse(X0),join(composition(X2,top),X1)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_390]) ).
tcf(c_25278,plain,
! [X0: $i] : composition(composition(X0,top),converse(iPr_def_10)) = composition(X0,converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25217,c_1336]) ).
tcf(c_25279,plain,
! [X0: $i] : composition(join(X0,complement(composition(X0,top))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25212,c_50,c_49]) ).
tcf(c_25280,plain,
! [X0: $i] : composition(join(X0,complement(composition(X0,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25279,c_16909]) ).
tcf(c_25281,plain,
! [X0: $i] : composition(join(X0,composition(X0,top)),converse(iPr_def_10)) = composition(composition(X0,top),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25221,c_50,c_49]) ).
tcf(c_25282,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(composition(X0,top)))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25230,c_50,c_49]) ).
tcf(c_25283,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25282,c_16909]) ).
tcf(c_25284,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25224,c_50,c_49]) ).
tcf(c_25285,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25284,c_16909]) ).
tcf(c_25286,plain,
! [X0: $i] : composition(join(X0,converse(complement(converse(composition(X0,top))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25218,c_50,c_49]) ).
tcf(c_25287,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,converse(X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25286,c_2354,c_16909]) ).
tcf(c_25288,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(X0,top)))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25215,c_50,c_49]) ).
tcf(c_25289,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25288,c_16909]) ).
tcf(c_25290,plain,
! [X0: $i,X1: $i] : composition(composition(join(X0,X1),top),converse(iPr_def_10)) = composition(join(X0,X1),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25211,c_25205]) ).
tcf(c_25291,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25232,c_50,c_49]) ).
tcf(c_25292,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25291,c_16909]) ).
tcf(c_25293,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(converse(composition(X1,top)))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25228,c_50,c_49]) ).
tcf(c_25294,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(converse(composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25293,c_16909]) ).
tcf(c_25295,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(converse(composition(X0,top)))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25220,c_50,c_49]) ).
tcf(c_25296,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25295,c_2354,c_16909]) ).
tcf(c_25297,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(composition(X1,top),X0)))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25214,c_50,c_49]) ).
tcf(c_25298,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(composition(X1,top),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25297,c_16909]) ).
tcf(c_25299,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(X0,iPr_def_12)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25253,c_50,c_49]) ).
tcf(c_25300,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_12,X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25251,c_50,c_49]) ).
tcf(c_25301,plain,
! [X0: $i,X1: $i] : composition(join(top,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(X0,one)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25247,c_50,c_49]) ).
tcf(c_25302,plain,
! [X0: $i,X1: $i] : composition(join(top,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(one,X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25246,c_50,c_49]) ).
tcf(c_25303,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(X0,iPr_def_10)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25240,c_50,c_49]) ).
tcf(c_25304,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(X0,iPr_def_11)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25239,c_50,c_49]) ).
tcf(c_25305,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_10,X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25238,c_50,c_49]) ).
tcf(c_25306,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,join(composition(X0,top),X1)),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_11,X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25237,c_50,c_49]) ).
tcf(c_25307,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(X0,top))),converse(iPr_def_10)) = composition(join(composition(X0,top),X1),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25227,c_50,c_49]) ).
tcf(c_25308,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(X0,top))),converse(iPr_def_10)) = composition(join(X1,X0),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25307,c_25205]) ).
tcf(c_25309,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,top),X2)),converse(iPr_def_10)) = composition(join(X0,join(X2,X1)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25213,c_50,c_49]) ).
tcf(c_25311,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,composition(X1,top))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(join(X0,X1),converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25265,c_50,c_49]) ).
tcf(c_25312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25233,c_50,c_49]) ).
tcf(c_25313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25312,c_16909]) ).
tcf(c_25314,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(X2,top),X0))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25231,c_50,c_49]) ).
tcf(c_25315,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(X2,top),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25314,c_16909]) ).
tcf(c_25316,plain,
! [X0: $i] : composition(join(X0,composition(complement(one),composition(X0,top))),converse(iPr_def_10)) = composition(composition(top,composition(X0,top)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25229,c_50,c_49]) ).
tcf(c_25317,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(X1,top),X0))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25225,c_50,c_49]) ).
tcf(c_25318,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(X1,top),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25317,c_16909]) ).
tcf(c_25319,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(converse(join(composition(X1,top),X0)))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25219,c_50,c_49]) ).
tcf(c_25320,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(converse(join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25319,c_16909]) ).
tcf(c_25321,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,composition(X0,top))),converse(iPr_def_10)) = composition(composition(join(one,X1),composition(X0,top)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25223,c_50,c_49]) ).
tcf(c_25322,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,composition(X0,top))),converse(iPr_def_10)) = composition(composition(join(X1,one),composition(X0,top)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25222,c_50,c_49]) ).
tcf(c_25323,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),composition(X2,converse(iPr_def_10))) = composition(join(composition(X1,top),join(X0,X2)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25261,c_50,c_49]) ).
tcf(c_25324,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(X1),complement(composition(X1,complement(composition(X0,top)))))),converse(iPr_def_10)) = composition(composition(X0,top),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25226,c_50,c_49]) ).
tcf(c_25325,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(composition(join(X0,X1),converse(iPr_def_10))),complement(composition(join(composition(X1,top),X0),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25260,c_19078]) ).
tcf(c_25326,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,iPr_def_10),join(composition(X1,top),X2)),converse(iPr_def_10)) = composition(join(X2,join(X1,composition(X0,iPr_def_10))),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25256,c_50,c_49]) ).
tcf(c_25327,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,iPr_def_10),join(composition(X1,top),X2)),converse(iPr_def_10)) = composition(join(X2,join(composition(X0,iPr_def_10),X1)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25255,c_50,c_49]) ).
tcf(c_25328,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(composition(join(X0,X1),top),X2)),converse(iPr_def_10)) = composition(join(X2,join(X0,join(iPr_def_10,X1))),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25243,c_50,c_49]) ).
tcf(c_25329,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,composition(X0,top)),X1),converse(iPr_def_10)) = composition(join(X1,join(iPr_def_10,composition(X0,top))),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25242,c_392,c_11762]) ).
tcf(c_25362,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(join(X0,X1),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25280]) ).
tcf(c_25363,plain,
composition(complement(composition(zero,top)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25280]) ).
tcf(c_25365,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),complement(composition(X0,composition(X1,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_52,c_25280]) ).
tcf(c_25366,plain,
composition(join(iPr_def_11,complement(iPr_def_12)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_116,c_25280]) ).
tcf(c_25367,plain,
composition(join(iPr_def_10,complement(iPr_def_10)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_25280]) ).
tcf(c_25368,plain,
! [X0: $i] : composition(join(join(iPr_def_11,X0),complement(join(iPr_def_12,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_391,c_25280]) ).
tcf(c_25369,plain,
! [X0: $i] : composition(join(join(iPr_def_10,X0),complement(join(iPr_def_10,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_392,c_25280]) ).
tcf(c_25370,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_11),complement(join(iPr_def_12,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_402,c_25280]) ).
tcf(c_25371,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_10),complement(join(iPr_def_10,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_401,c_25280]) ).
tcf(c_25372,plain,
composition(join(top,complement(top)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11762,c_25280]) ).
tcf(c_25373,plain,
! [X0: $i] : composition(join(join(iPr_def_10,composition(X0,top)),complement(composition(join(iPr_def_10,X0),composition(top,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_445,c_25280]) ).
tcf(c_25374,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(iPr_def_10,X1)),complement(join(iPr_def_10,composition(join(X0,X1),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9109,c_25280]) ).
tcf(c_25375,plain,
composition(join(one,complement(top)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1708,c_25280]) ).
tcf(c_25376,plain,
composition(join(iPr_def_12,complement(iPr_def_12)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11779,c_25280]) ).
tcf(c_25377,plain,
! [X0: $i] : composition(join(join(one,X0),complement(join(top,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_25280]) ).
tcf(c_25378,plain,
! [X0: $i] : composition(join(join(X0,one),complement(join(top,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_25280]) ).
tcf(c_25379,plain,
composition(join(zero,complement(zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8217,c_25280]) ).
tcf(c_25380,plain,
composition(join(converse(iPr_def_12),complement(composition(top,iPr_def_11))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18563,c_25280]) ).
tcf(c_25381,plain,
composition(join(converse(iPr_def_10),complement(composition(top,iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_19820,c_25280]) ).
tcf(c_25382,plain,
! [X0: $i] : composition(join(join(iPr_def_12,X0),complement(join(iPr_def_12,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11839,c_25280]) ).
tcf(c_25383,plain,
composition(join(complement(iPr_def_12),complement(iPr_def_10)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_25280]) ).
tcf(c_25384,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_12),complement(join(iPr_def_12,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11846,c_25280]) ).
tcf(c_25385,plain,
composition(join(converse(iPr_def_11),complement(composition(top,iPr_def_11))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18545,c_25280]) ).
tcf(c_25386,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(X0,iPr_def_10),X1),complement(join(composition(X0,iPr_def_10),composition(X1,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_22679,c_25280]) ).
tcf(c_25387,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(X1,iPr_def_10)),complement(join(composition(X1,iPr_def_10),composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23730,c_25280]) ).
tcf(c_25388,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,complement(composition(X1,top)))),X2),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25280,c_388]) ).
tcf(c_25389,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,complement(composition(X1,top))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25280,c_385]) ).
tcf(c_25390,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,complement(composition(X1,top)))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,complement(composition(X1,top))))),
inference(superposition,[status(thm)],[c_25280,c_390]) ).
tcf(c_25391,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,complement(composition(X0,top))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25280,c_433]) ).
tcf(c_25392,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(composition(X0,top))),X1),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25280,c_54]) ).
tcf(c_25393,plain,
! [X0: $i,X1: $i] : composition(join(X0,complement(composition(X0,top))),composition(converse(iPr_def_10),X1)) = composition(converse(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_25280,c_52]) ).
tcf(c_25394,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_54]) ).
tcf(c_25395,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,complement(composition(X0,top)))),complement(converse(iPr_def_10))),X1)) = join(complement(converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_25280,c_362]) ).
tcf(c_25396,plain,
! [X0: $i] : composition(join(join(X0,complement(composition(X0,top))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_1782]) ).
tcf(c_25397,plain,
! [X0: $i] : composition(join(one,join(X0,complement(composition(X0,top)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_1767]) ).
tcf(c_25398,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,complement(composition(X0,top)))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_76]) ).
tcf(c_25399,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(X0,complement(composition(X0,top))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_225]) ).
tcf(c_25400,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,complement(composition(X1,top))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_385]) ).
tcf(c_25401,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,complement(composition(X2,top)))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_388]) ).
tcf(c_25402,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25280,c_390]) ).
tcf(c_25403,plain,
! [X0: $i] : composition(join(complement(composition(composition(X0,top),top)),X0),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25280,c_25205]) ).
tcf(c_25404,plain,
composition(join(zero,top),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25379,c_1431]) ).
tcf(c_25405,plain,
composition(join(top,zero),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25404,c_50,c_49]) ).
tcf(c_25406,plain,
composition(join(one,zero),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25375,c_107]) ).
tcf(c_25410,plain,
composition(join(complement(iPr_def_10),complement(iPr_def_12)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25383,c_50,c_49]) ).
tcf(c_25412,plain,
! [X0: $i] : composition(join(X0,complement(composition(composition(X0,top),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25403,c_50,c_49]) ).
tcf(c_25414,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_12,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25384,c_50,c_49]) ).
tcf(c_25415,plain,
! [X0: $i] : composition(join(iPr_def_12,join(X0,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25382,c_50,c_49]) ).
tcf(c_25416,plain,
! [X0: $i] : composition(join(X0,join(one,complement(join(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25378,c_50,c_49]) ).
tcf(c_25417,plain,
! [X0: $i] : composition(join(one,join(X0,complement(join(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25377,c_50,c_49]) ).
tcf(c_25418,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,complement(join(iPr_def_10,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25371,c_50,c_49]) ).
tcf(c_25419,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25370,c_50,c_49]) ).
tcf(c_25420,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,complement(join(iPr_def_10,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25369,c_50,c_49]) ).
tcf(c_25421,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25368,c_50,c_49]) ).
tcf(c_25422,plain,
! [X0: $i] : composition(join(X0,join(one,complement(composition(X0,top)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25396,c_50,c_49]) ).
tcf(c_25423,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25394,c_50,c_49]) ).
tcf(c_25425,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(composition(X0,top)),X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25392,c_50,c_49]) ).
tcf(c_25426,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_25402,c_50,c_49]) ).
tcf(c_25427,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,complement(composition(X0,top))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25391,c_19078]) ).
tcf(c_25428,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(X1,iPr_def_10),complement(join(composition(X1,iPr_def_10),composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25387,c_50,c_49]) ).
tcf(c_25429,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_10),join(X1,complement(join(composition(X0,iPr_def_10),composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25386,c_50,c_49]) ).
tcf(c_25430,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,complement(join(iPr_def_10,composition(join(X0,X1),top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25374,c_50,c_49]) ).
tcf(c_25431,plain,
! [X0: $i] : composition(join(iPr_def_10,join(composition(X0,top),complement(composition(join(iPr_def_10,X0),composition(top,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25373,c_50,c_49]) ).
tcf(c_25432,plain,
! [X0: $i] : composition(join(iPr_def_10,join(composition(X0,top),complement(join(iPr_def_10,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25431,c_392,c_11762]) ).
tcf(c_25433,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,complement(composition(X2,top)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_25401,c_50,c_49]) ).
tcf(c_25434,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,complement(composition(X2,top)))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25433,c_22936]) ).
tcf(c_25437,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(top,complement(composition(join(X0,X1),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25283]) ).
tcf(c_25438,plain,
composition(composition(top,complement(composition(zero,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25283]) ).
tcf(c_25440,plain,
composition(join(converse(top),zero),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9546,c_25283]) ).
tcf(c_25441,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),composition(top,complement(composition(X0,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_52,c_25283]) ).
tcf(c_25442,plain,
composition(join(iPr_def_11,composition(top,complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_116,c_25283]) ).
tcf(c_25443,plain,
composition(join(iPr_def_10,composition(top,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_25283]) ).
tcf(c_25444,plain,
! [X0: $i] : composition(join(join(iPr_def_11,X0),composition(top,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_391,c_25283]) ).
tcf(c_25445,plain,
! [X0: $i] : composition(join(join(iPr_def_10,X0),composition(top,complement(join(iPr_def_10,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_392,c_25283]) ).
tcf(c_25446,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_11),composition(top,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_402,c_25283]) ).
tcf(c_25447,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_10),composition(top,complement(join(iPr_def_10,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_401,c_25283]) ).
tcf(c_25448,plain,
composition(join(top,composition(top,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11762,c_25283]) ).
tcf(c_25449,plain,
! [X0: $i] : composition(join(join(iPr_def_10,composition(X0,top)),composition(top,complement(composition(join(iPr_def_10,X0),composition(top,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_445,c_25283]) ).
tcf(c_25450,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(iPr_def_10,X1)),composition(top,complement(join(iPr_def_10,composition(join(X0,X1),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9109,c_25283]) ).
tcf(c_25451,plain,
composition(join(one,composition(top,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1708,c_25283]) ).
tcf(c_25452,plain,
composition(join(iPr_def_12,composition(top,complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11779,c_25283]) ).
tcf(c_25453,plain,
! [X0: $i] : composition(join(join(one,X0),composition(top,complement(join(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_25283]) ).
tcf(c_25454,plain,
! [X0: $i] : composition(join(join(X0,one),composition(top,complement(join(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_25283]) ).
tcf(c_25455,plain,
composition(join(zero,composition(top,complement(zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8217,c_25283]) ).
tcf(c_25456,plain,
composition(join(converse(iPr_def_12),composition(top,complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18563,c_25283]) ).
tcf(c_25457,plain,
composition(join(converse(iPr_def_10),composition(top,complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_19820,c_25283]) ).
tcf(c_25458,plain,
! [X0: $i] : composition(join(join(iPr_def_12,X0),composition(top,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11839,c_25283]) ).
tcf(c_25459,plain,
composition(join(complement(iPr_def_12),composition(top,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_25283]) ).
tcf(c_25460,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_12),composition(top,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11846,c_25283]) ).
tcf(c_25461,plain,
composition(join(converse(iPr_def_11),composition(top,complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18545,c_25283]) ).
tcf(c_25462,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(X0,iPr_def_10),X1),composition(top,complement(join(composition(X0,iPr_def_10),composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_22679,c_25283]) ).
tcf(c_25463,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(X1,iPr_def_10)),composition(top,complement(join(composition(X1,iPr_def_10),composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23730,c_25283]) ).
tcf(c_25464,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,composition(top,complement(composition(X1,top))))),X2),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25283,c_388]) ).
tcf(c_25465,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,composition(top,complement(composition(X1,top)))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25283,c_385]) ).
tcf(c_25466,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,composition(top,complement(composition(X1,top))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,composition(top,complement(composition(X1,top)))))),
inference(superposition,[status(thm)],[c_25283,c_390]) ).
tcf(c_25467,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,composition(top,complement(composition(X0,top)))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25283,c_433]) ).
tcf(c_25468,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(top,complement(composition(X0,top)))),X1),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25283,c_54]) ).
tcf(c_25469,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(top,complement(composition(X0,top)))),composition(converse(iPr_def_10),X1)) = composition(converse(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_25283,c_52]) ).
tcf(c_25470,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_54]) ).
tcf(c_25471,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,composition(top,complement(composition(X0,top))))),complement(converse(iPr_def_10))),X1)) = join(complement(converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_25283,c_362]) ).
tcf(c_25472,plain,
! [X0: $i] : composition(join(join(X0,composition(top,complement(composition(X0,top)))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_1782]) ).
tcf(c_25473,plain,
! [X0: $i] : composition(join(one,join(X0,composition(top,complement(composition(X0,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_1767]) ).
tcf(c_25474,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,composition(top,complement(composition(X0,top))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_76]) ).
tcf(c_25475,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(X0,composition(top,complement(composition(X0,top)))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_225]) ).
tcf(c_25476,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,composition(top,complement(composition(X1,top)))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_385]) ).
tcf(c_25477,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,composition(top,complement(composition(X2,top))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_388]) ).
tcf(c_25478,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25283,c_390]) ).
tcf(c_25479,plain,
! [X0: $i] : composition(join(composition(top,complement(composition(composition(X0,top),top))),X0),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25283,c_25205]) ).
tcf(c_25480,plain,
composition(join(zero,converse(top)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25440,c_50,c_49]) ).
tcf(c_25485,plain,
composition(join(one,composition(top,zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25451,c_107]) ).
tcf(c_25486,plain,
composition(join(top,composition(top,zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25448,c_107]) ).
tcf(c_25490,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(composition(composition(X0,top),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25479,c_50,c_49]) ).
tcf(c_25492,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_12,composition(top,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25460,c_50,c_49]) ).
tcf(c_25493,plain,
! [X0: $i] : composition(join(iPr_def_12,join(X0,composition(top,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25458,c_50,c_49]) ).
tcf(c_25494,plain,
! [X0: $i] : composition(join(X0,join(one,composition(top,complement(join(top,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25454,c_50,c_49]) ).
tcf(c_25495,plain,
! [X0: $i] : composition(join(one,join(X0,composition(top,complement(join(top,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25453,c_50,c_49]) ).
tcf(c_25496,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,composition(top,complement(join(iPr_def_10,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25447,c_50,c_49]) ).
tcf(c_25497,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,composition(top,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25446,c_50,c_49]) ).
tcf(c_25498,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,composition(top,complement(join(iPr_def_10,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25445,c_50,c_49]) ).
tcf(c_25499,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,composition(top,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25444,c_50,c_49]) ).
tcf(c_25500,plain,
! [X0: $i] : composition(join(X0,join(one,composition(top,complement(composition(X0,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25472,c_50,c_49]) ).
tcf(c_25501,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25470,c_50,c_49]) ).
tcf(c_25502,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(top,complement(composition(X0,top))),X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25468,c_50,c_49]) ).
tcf(c_25503,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_25478,c_50,c_49]) ).
tcf(c_25504,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,composition(top,complement(composition(X0,top)))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25467,c_19078]) ).
tcf(c_25505,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(X1,iPr_def_10),composition(top,complement(join(composition(X1,iPr_def_10),composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25463,c_50,c_49]) ).
tcf(c_25506,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_10),join(X1,composition(top,complement(join(composition(X0,iPr_def_10),composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25462,c_50,c_49]) ).
tcf(c_25507,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,composition(top,complement(join(iPr_def_10,composition(join(X0,X1),top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25450,c_50,c_49]) ).
tcf(c_25508,plain,
! [X0: $i] : composition(join(iPr_def_10,join(composition(X0,top),composition(top,complement(composition(join(iPr_def_10,X0),composition(top,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_25449,c_50,c_49]) ).
tcf(c_25509,plain,
! [X0: $i] : composition(join(iPr_def_10,join(composition(X0,top),composition(top,complement(join(iPr_def_10,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_25508,c_392,c_11762]) ).
tcf(c_25510,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,composition(top,complement(composition(X2,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_25477,c_50,c_49]) ).
tcf(c_25511,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,composition(top,complement(composition(X2,top))))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25510,c_22936]) ).
tcf(c_25519,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(X1,composition(X2,one))) = composition(join(X0,composition(X1,X2)),one),
inference(superposition,[status(thm)],[c_53,c_393]) ).
tcf(c_25523,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),composition(X1,X2)),complement(composition(X0,top))) = join(zero,composition(X1,composition(X2,complement(composition(X0,top))))),
inference(superposition,[status(thm)],[c_9545,c_393]) ).
tcf(c_25526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(converse(composition(X0,X1)),X2),composition(X3,composition(X4,composition(converse(X0),X2)))) = composition(join(converse(X1),composition(X3,X4)),composition(converse(X0),X2)),
inference(superposition,[status(thm)],[c_381,c_393]) ).
tcf(c_25529,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),composition(X1,composition(X2,top))) = composition(join(join(iPr_def_11,X0),composition(X1,X2)),top),
inference(superposition,[status(thm)],[c_391,c_393]) ).
tcf(c_25530,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_10,composition(X0,top)),composition(X1,composition(X2,top))) = composition(join(join(iPr_def_10,X0),composition(X1,X2)),top),
inference(superposition,[status(thm)],[c_392,c_393]) ).
tcf(c_25531,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),composition(X1,composition(X2,top))) = composition(join(join(X0,iPr_def_11),composition(X1,X2)),top),
inference(superposition,[status(thm)],[c_402,c_393]) ).
tcf(c_25532,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_10,composition(X0,top)),composition(X1,composition(X2,top))) = composition(join(join(X0,iPr_def_10),composition(X1,X2)),top),
inference(superposition,[status(thm)],[c_401,c_393]) ).
tcf(c_25534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(iPr_def_10,X0),composition(top,X1)),composition(X2,composition(X3,X1))) = composition(join(join(iPr_def_10,composition(X0,top)),composition(X2,X3)),X1),
inference(superposition,[status(thm)],[c_445,c_393]) ).
tcf(c_25535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(iPr_def_10,composition(join(X0,X1),top)),composition(X2,composition(X3,top))) = composition(join(join(X0,join(iPr_def_10,X1)),composition(X2,X3)),top),
inference(superposition,[status(thm)],[c_9109,c_393]) ).
tcf(c_25536,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(join(iPr_def_10,X0)),composition(X1,X2)),complement(join(iPr_def_10,composition(X0,top)))) = join(zero,composition(X1,composition(X2,complement(join(iPr_def_10,composition(X0,top)))))),
inference(superposition,[status(thm)],[c_9562,c_393]) ).
tcf(c_25539,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(converse(iPr_def_10),X0),composition(X1,X2)),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,composition(X2,iPr_def_11))),
inference(superposition,[status(thm)],[c_16856,c_393]) ).
tcf(c_25540,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X2)),zero) = join(zero,composition(X1,composition(X2,zero))),
inference(superposition,[status(thm)],[c_8201,c_393]) ).
tcf(c_25541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,composition(X1,X0)),composition(X2,composition(X3,X0))) = composition(join(join(one,X1),composition(X2,X3)),X0),
inference(superposition,[status(thm)],[c_1767,c_393]) ).
tcf(c_25542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,composition(X1,X0)),composition(X2,composition(X3,X0))) = composition(join(join(X1,one),composition(X2,X3)),X0),
inference(superposition,[status(thm)],[c_1782,c_393]) ).
tcf(c_25545,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,converse(iPr_def_10)),composition(X1,X2)),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,composition(X2,iPr_def_11))),
inference(superposition,[status(thm)],[c_16858,c_393]) ).
tcf(c_25548,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(iPr_def_12)),composition(X0,X1)),iPr_def_11) = join(zero,composition(X0,composition(X1,iPr_def_11))),
inference(superposition,[status(thm)],[c_2775,c_393]) ).
tcf(c_25549,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(converse(iPr_def_11),X0),composition(X1,X2)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_18471,c_393]) ).
tcf(c_25551,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,converse(iPr_def_11)),composition(X1,X2)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_18473,c_393]) ).
tcf(c_25552,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(complement(iPr_def_12)),composition(X0,X1)),composition(iPr_def_11,X2)) = join(zero,composition(X0,composition(X1,composition(iPr_def_11,X2)))),
inference(superposition,[status(thm)],[c_12795,c_393]) ).
tcf(c_25555,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(iPr_def_11,X0)),composition(X1,X2)),iPr_def_10) = join(zero,composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_13261,c_393]) ).
tcf(c_25556,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(converse(iPr_def_10),X0),composition(X1,X2)),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,composition(X2,iPr_def_12))),
inference(superposition,[status(thm)],[c_20452,c_393]) ).
tcf(c_25557,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,converse(iPr_def_10)),composition(X1,X2)),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,composition(X2,iPr_def_12))),
inference(superposition,[status(thm)],[c_20454,c_393]) ).
tcf(c_25559,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(iPr_def_10,X0)),composition(X1,X2)),iPr_def_11) = join(zero,composition(X1,composition(X2,iPr_def_11))),
inference(superposition,[status(thm)],[c_12931,c_393]) ).
tcf(c_25560,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(converse(iPr_def_12),X0),composition(X1,X2)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_20661,c_393]) ).
tcf(c_25562,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,converse(iPr_def_12)),composition(X1,X2)),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_20664,c_393]) ).
tcf(c_25563,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(iPr_def_12,X0)),composition(X1,X2)),iPr_def_10) = join(zero,composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_8919,c_393]) ).
tcf(c_25564,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(iPr_def_10,X0)),composition(X1,X2)),iPr_def_12) = join(zero,composition(X1,composition(X2,iPr_def_12))),
inference(superposition,[status(thm)],[c_8938,c_393]) ).
tcf(c_25565,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X2)),complement(composition(converse(X0),top))) = join(zero,composition(X1,composition(X2,complement(composition(converse(X0),top))))),
inference(superposition,[status(thm)],[c_9546,c_393]) ).
tcf(c_25568,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),composition(X1,composition(X2,top))) = composition(join(join(iPr_def_12,X0),composition(X1,X2)),top),
inference(superposition,[status(thm)],[c_11839,c_393]) ).
tcf(c_25570,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),composition(X1,composition(X2,top))) = composition(join(join(X0,iPr_def_12),composition(X1,X2)),top),
inference(superposition,[status(thm)],[c_11846,c_393]) ).
tcf(c_25574,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(iPr_def_12)),composition(X0,X1)),iPr_def_12) = join(zero,composition(X0,composition(X1,iPr_def_12))),
inference(superposition,[status(thm)],[c_12194,c_393]) ).
tcf(c_25577,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),iPr_def_11),composition(X1,composition(X2,iPr_def_11))) = composition(join(converse(join(iPr_def_10,X0)),composition(X1,X2)),iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_393]) ).
tcf(c_25579,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,one),composition(X1,X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_17551,c_393]) ).
tcf(c_25592,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),iPr_def_11),composition(X1,composition(X2,iPr_def_11))) = composition(join(converse(join(X0,iPr_def_10)),composition(X1,X2)),iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_393]) ).
tcf(c_25598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,one)),composition(X2,X3)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_17745,c_393]) ).
tcf(c_25605,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),iPr_def_10),composition(X1,composition(X2,iPr_def_10))) = composition(join(converse(join(iPr_def_11,X0)),composition(X1,X2)),iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_393]) ).
tcf(c_25607,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),iPr_def_10),composition(X1,composition(X2,iPr_def_10))) = composition(join(converse(join(X0,iPr_def_11)),composition(X1,X2)),iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_393]) ).
tcf(c_25612,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),iPr_def_12),composition(X1,composition(X2,iPr_def_12))) = composition(join(converse(join(iPr_def_10,X0)),composition(X1,X2)),iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_393]) ).
tcf(c_25613,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(X0),iPr_def_12),composition(X1,composition(X2,iPr_def_12))) = composition(join(converse(join(X0,iPr_def_10)),composition(X1,X2)),iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_393]) ).
tcf(c_25616,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(X0,iPr_def_10)),composition(X1,X2)),complement(composition(X0,iPr_def_10))) = join(zero,composition(X1,composition(X2,complement(composition(X0,iPr_def_10))))),
inference(superposition,[status(thm)],[c_22506,c_393]) ).
tcf(c_25617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),composition(X2,composition(X3,top))) = composition(join(join(composition(X0,iPr_def_10),X1),composition(X2,X3)),top),
inference(superposition,[status(thm)],[c_22679,c_393]) ).
tcf(c_25618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),composition(X2,composition(X3,converse(iPr_def_10)))) = composition(join(join(composition(X1,top),X0),composition(X2,X3)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_393]) ).
tcf(c_25619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),composition(X2,composition(X3,top))) = composition(join(join(X1,composition(X0,iPr_def_10)),composition(X2,X3)),top),
inference(superposition,[status(thm)],[c_23730,c_393]) ).
tcf(c_25620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(join(composition(X0,iPr_def_10),X1)),composition(X2,X3)),complement(join(composition(X0,iPr_def_10),composition(X1,top)))) = join(zero,composition(X2,composition(X3,complement(join(composition(X0,iPr_def_10),composition(X1,top)))))),
inference(superposition,[status(thm)],[c_23788,c_393]) ).
tcf(c_25621,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,complement(composition(X0,top))),composition(X1,X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25280,c_393]) ).
tcf(c_25622,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,composition(top,complement(composition(X0,top)))),composition(X1,X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25283,c_393]) ).
tcf(c_25623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),composition(X2,composition(X3,composition(X4,X1)))) = composition(join(X0,composition(composition(X2,X3),X4)),X1),
inference(superposition,[status(thm)],[c_52,c_393]) ).
tcf(c_25624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(converse(composition(X2,X3)),X1)) = composition(join(X0,composition(converse(X3),converse(X2))),X1),
inference(superposition,[status(thm)],[c_381,c_393]) ).
tcf(c_25625,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_12,X1)) = composition(join(X0,composition(iPr_def_11,top)),X1),
inference(superposition,[status(thm)],[c_382,c_393]) ).
tcf(c_25626,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_10,X1)) = composition(join(X0,composition(iPr_def_10,top)),X1),
inference(superposition,[status(thm)],[c_383,c_393]) ).
tcf(c_25627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(join(iPr_def_10,X2),composition(top,composition(X3,X1)))) = composition(join(X0,composition(join(iPr_def_10,composition(X2,top)),X3)),X1),
inference(superposition,[status(thm)],[c_445,c_393]) ).
tcf(c_25628,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,composition(one,X2)),X1),
inference(superposition,[status(thm)],[c_1708,c_393]) ).
tcf(c_25629,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(zero,X1)),X2) = join(composition(X0,X2),zero),
inference(superposition,[status(thm)],[c_8217,c_393]) ).
tcf(c_25630,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_10),iPr_def_11)),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_8222,c_393]) ).
tcf(c_25631,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_11),complement(iPr_def_12))),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_12534,c_393]) ).
tcf(c_25632,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_11),iPr_def_10)),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_8221,c_393]) ).
tcf(c_25633,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(complement(iPr_def_12)),iPr_def_11)),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_12795,c_393]) ).
tcf(c_25634,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_10),iPr_def_12)),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_8911,c_393]) ).
tcf(c_25635,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_12),iPr_def_10)),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_8927,c_393]) ).
tcf(c_25636,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_12,X1)) = composition(join(X0,composition(iPr_def_12,top)),X1),
inference(superposition,[status(thm)],[c_11840,c_393]) ).
tcf(c_25637,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(complement(iPr_def_12),top)),X1) = join(composition(X0,X1),composition(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_15252,c_393]) ).
tcf(c_25638,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(converse(iPr_def_12),X1)) = composition(join(X0,composition(top,converse(iPr_def_11))),X1),
inference(superposition,[status(thm)],[c_16989,c_393]) ).
tcf(c_25639,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(converse(iPr_def_10),X1)) = composition(join(X0,composition(top,converse(iPr_def_10))),X1),
inference(superposition,[status(thm)],[c_17014,c_393]) ).
tcf(c_25640,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_10,composition(converse(iPr_def_11),X1))) = composition(join(X0,composition(iPr_def_10,converse(iPr_def_12))),X1),
inference(superposition,[status(thm)],[c_17451,c_393]) ).
tcf(c_25641,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(converse(iPr_def_12),X1)) = composition(join(X0,composition(top,converse(iPr_def_12))),X1),
inference(superposition,[status(thm)],[c_17470,c_393]) ).
tcf(c_25642,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(top,converse(join(iPr_def_10,join(X1,iPr_def_10))))),complement(join(iPr_def_10,composition(X1,top)))) = join(composition(X0,complement(join(iPr_def_10,composition(X1,top)))),zero),
inference(superposition,[status(thm)],[c_18222,c_393]) ).
tcf(c_25643,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(iPr_def_10,converse(join(iPr_def_10,join(X1,iPr_def_10))))),complement(join(iPr_def_10,composition(X1,top)))) = join(composition(X0,complement(join(iPr_def_10,composition(X1,top)))),zero),
inference(superposition,[status(thm)],[c_18823,c_393]) ).
tcf(c_25644,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(top,composition(iPr_def_11,X1))) = composition(join(X0,composition(top,iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_20386,c_393]) ).
tcf(c_25645,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_10,composition(iPr_def_11,X1))) = composition(join(X0,composition(iPr_def_10,iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_20422,c_393]) ).
tcf(c_25646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),composition(X2,composition(X3,composition(X4,X1)))) = composition(join(X0,composition(X2,composition(X3,X4))),X1),
inference(superposition,[status(thm)],[c_52,c_393]) ).
tcf(c_25647,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,one),composition(X1,X2)) = composition(join(X0,composition(X1,X2)),one),
inference(superposition,[status(thm)],[c_53,c_393]) ).
tcf(c_25648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),composition(X2,converse(composition(X1,X3)))) = composition(join(X0,composition(X2,converse(X3))),converse(X1)),
inference(superposition,[status(thm)],[c_57,c_393]) ).
tcf(c_25649,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,iPr_def_12)) = composition(join(X0,composition(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_116,c_393]) ).
tcf(c_25650,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,iPr_def_10)) = composition(join(X0,composition(X1,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_193,c_393]) ).
tcf(c_25651,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(X2))),complement(composition(X2,top))) = join(composition(X0,complement(composition(X2,top))),composition(X1,zero)),
inference(superposition,[status(thm)],[c_9545,c_393]) ).
tcf(c_25652,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(iPr_def_11))),complement(iPr_def_12)) = join(composition(X0,complement(iPr_def_12)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_1359,c_393]) ).
tcf(c_25653,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(iPr_def_10))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,zero)),
inference(superposition,[status(thm)],[c_1360,c_393]) ).
tcf(c_25654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(converse(X1),X2)),composition(X3,composition(converse(composition(X1,X4)),X2))) = composition(join(X0,composition(X3,converse(X4))),composition(converse(X1),X2)),
inference(superposition,[status(thm)],[c_381,c_393]) ).
tcf(c_25655,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),composition(X2,composition(iPr_def_12,X1))) = composition(join(X0,composition(X2,iPr_def_11)),composition(top,X1)),
inference(superposition,[status(thm)],[c_382,c_393]) ).
tcf(c_25656,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),composition(X2,composition(iPr_def_10,X1))) = composition(join(X0,composition(X2,iPr_def_10)),composition(top,X1)),
inference(superposition,[status(thm)],[c_383,c_393]) ).
tcf(c_25657,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),composition(X1,join(iPr_def_12,composition(X2,top)))) = composition(join(X0,composition(X1,join(iPr_def_11,X2))),top),
inference(superposition,[status(thm)],[c_391,c_393]) ).
tcf(c_25658,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),composition(X1,join(iPr_def_10,composition(X2,top)))) = composition(join(X0,composition(X1,join(iPr_def_10,X2))),top),
inference(superposition,[status(thm)],[c_392,c_393]) ).
tcf(c_25659,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),composition(X1,join(iPr_def_12,composition(X2,top)))) = composition(join(X0,composition(X1,join(X2,iPr_def_11))),top),
inference(superposition,[status(thm)],[c_402,c_393]) ).
tcf(c_25660,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),composition(X1,join(iPr_def_10,composition(X2,top)))) = composition(join(X0,composition(X1,join(X2,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_401,c_393]) ).
tcf(c_25661,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,top)) = composition(join(X0,composition(X1,top)),top),
inference(superposition,[status(thm)],[c_11762,c_393]) ).
tcf(c_25662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(X2,composition(join(iPr_def_10,X3),composition(top,X1)))) = composition(join(X0,composition(X2,join(iPr_def_10,composition(X3,top)))),X1),
inference(superposition,[status(thm)],[c_445,c_393]) ).
tcf(c_25663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),composition(X1,join(iPr_def_10,composition(join(X2,X3),top)))) = composition(join(X0,composition(X1,join(X2,join(iPr_def_10,X3)))),top),
inference(superposition,[status(thm)],[c_9109,c_393]) ).
tcf(c_25664,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(join(iPr_def_10,X2)))),complement(join(iPr_def_10,composition(X2,top)))) = join(composition(X0,complement(join(iPr_def_10,composition(X2,top)))),composition(X1,zero)),
inference(superposition,[status(thm)],[c_9562,c_393]) ).
tcf(c_25665,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,composition(X2,one)),X1),
inference(superposition,[status(thm)],[c_1708,c_393]) ).
tcf(c_25666,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,iPr_def_12)) = composition(join(X0,composition(X1,iPr_def_12)),top),
inference(superposition,[status(thm)],[c_11779,c_393]) ).
tcf(c_25667,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(converse(iPr_def_10),X2))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,composition(X2,iPr_def_11))),
inference(superposition,[status(thm)],[c_16856,c_393]) ).
tcf(c_25668,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X2)),zero) = join(composition(X0,zero),composition(X1,zero)),
inference(superposition,[status(thm)],[c_8201,c_393]) ).
tcf(c_25669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(X2,join(X1,composition(X3,X1)))) = composition(join(X0,composition(X2,join(one,X3))),X1),
inference(superposition,[status(thm)],[c_1767,c_393]) ).
tcf(c_25670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(X2,join(X1,composition(X3,X1)))) = composition(join(X0,composition(X2,join(X3,one))),X1),
inference(superposition,[status(thm)],[c_1782,c_393]) ).
tcf(c_25671,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,zero)) = composition(join(X0,composition(X2,zero)),X1),
inference(superposition,[status(thm)],[c_8217,c_393]) ).
tcf(c_25672,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(iPr_def_10))),composition(iPr_def_11,X2)) = join(composition(X0,composition(iPr_def_11,X2)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_8222,c_393]) ).
tcf(c_25673,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,converse(iPr_def_10)))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,composition(X2,iPr_def_11))),
inference(superposition,[status(thm)],[c_16858,c_393]) ).
tcf(c_25674,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(iPr_def_11))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,zero)),
inference(superposition,[status(thm)],[c_3196,c_393]) ).
tcf(c_25675,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(iPr_def_11))),composition(complement(iPr_def_12),X2)) = join(composition(X0,composition(complement(iPr_def_12),X2)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_12534,c_393]) ).
tcf(c_25676,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(complement(iPr_def_12)))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,zero)),
inference(superposition,[status(thm)],[c_2775,c_393]) ).
tcf(c_25677,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(converse(iPr_def_11),X2))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_18471,c_393]) ).
tcf(c_25678,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(iPr_def_11))),composition(iPr_def_10,X2)) = join(composition(X0,composition(iPr_def_10,X2)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_8221,c_393]) ).
tcf(c_25679,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,converse(iPr_def_11)))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_18473,c_393]) ).
tcf(c_25680,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(complement(iPr_def_12)))),composition(iPr_def_11,X2)) = join(composition(X0,composition(iPr_def_11,X2)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_12795,c_393]) ).
tcf(c_25681,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(iPr_def_10))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,zero)),
inference(superposition,[status(thm)],[c_7055,c_393]) ).
tcf(c_25682,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(iPr_def_10))),composition(iPr_def_12,X2)) = join(composition(X0,composition(iPr_def_12,X2)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_8911,c_393]) ).
tcf(c_25683,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(composition(iPr_def_11,X2)))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,zero)),
inference(superposition,[status(thm)],[c_13261,c_393]) ).
tcf(c_25684,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(converse(iPr_def_10),X2))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,composition(X2,iPr_def_12))),
inference(superposition,[status(thm)],[c_20452,c_393]) ).
tcf(c_25685,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,converse(iPr_def_10)))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,composition(X2,iPr_def_12))),
inference(superposition,[status(thm)],[c_20454,c_393]) ).
tcf(c_25686,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(iPr_def_12))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,zero)),
inference(superposition,[status(thm)],[c_7459,c_393]) ).
tcf(c_25687,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(composition(iPr_def_10,X2)))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,zero)),
inference(superposition,[status(thm)],[c_12931,c_393]) ).
tcf(c_25688,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(converse(iPr_def_12),X2))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_20661,c_393]) ).
tcf(c_25689,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(iPr_def_12))),composition(iPr_def_10,X2)) = join(composition(X0,composition(iPr_def_10,X2)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_8927,c_393]) ).
tcf(c_25690,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,converse(iPr_def_12)))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_20664,c_393]) ).
tcf(c_25691,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(composition(iPr_def_12,X2)))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,zero)),
inference(superposition,[status(thm)],[c_8919,c_393]) ).
tcf(c_25692,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(composition(iPr_def_10,X2)))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,zero)),
inference(superposition,[status(thm)],[c_8938,c_393]) ).
tcf(c_25693,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X2)),complement(composition(converse(X2),top))) = join(composition(X0,complement(composition(converse(X2),top))),composition(X1,zero)),
inference(superposition,[status(thm)],[c_9546,c_393]) ).
tcf(c_25694,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,converse(iPr_def_12))),top),
inference(superposition,[status(thm)],[c_18563,c_393]) ).
tcf(c_25695,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,composition(top,iPr_def_10))) = composition(join(X0,composition(X1,converse(iPr_def_10))),top),
inference(superposition,[status(thm)],[c_19820,c_393]) ).
tcf(c_25696,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),composition(X1,join(iPr_def_12,composition(X2,top)))) = composition(join(X0,composition(X1,join(iPr_def_12,X2))),top),
inference(superposition,[status(thm)],[c_11839,c_393]) ).
tcf(c_25697,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,complement(iPr_def_12))),top) = join(composition(X0,top),composition(X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_15143,c_393]) ).
tcf(c_25698,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),composition(X1,join(iPr_def_12,composition(X2,top)))) = composition(join(X0,composition(X1,join(X2,iPr_def_12))),top),
inference(superposition,[status(thm)],[c_11846,c_393]) ).
tcf(c_25699,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,top)),iPr_def_12),
inference(superposition,[status(thm)],[c_19797,c_393]) ).
tcf(c_25700,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),composition(X2,composition(iPr_def_12,X1))) = composition(join(X0,composition(X2,iPr_def_12)),composition(top,X1)),
inference(superposition,[status(thm)],[c_11840,c_393]) ).
tcf(c_25701,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(iPr_def_12))),complement(iPr_def_12)) = join(composition(X0,complement(iPr_def_12)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_11843,c_393]) ).
tcf(c_25702,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,converse(complement(iPr_def_12)))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,zero)),
inference(superposition,[status(thm)],[c_12194,c_393]) ).
tcf(c_25703,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,converse(iPr_def_11))),top),
inference(superposition,[status(thm)],[c_18545,c_393]) ).
tcf(c_25704,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),composition(X2,composition(iPr_def_10,X1))) = composition(join(X0,composition(X2,complement(iPr_def_12))),composition(top,X1)),
inference(superposition,[status(thm)],[c_15252,c_393]) ).
tcf(c_25705,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_11),composition(X1,composition(converse(X2),iPr_def_11))) = composition(join(X0,composition(X1,converse(join(iPr_def_10,X2)))),iPr_def_11),
inference(superposition,[status(thm)],[c_16861,c_393]) ).
tcf(c_25706,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,complement(converse(iPr_def_10)))),iPr_def_11),
inference(superposition,[status(thm)],[c_16862,c_393]) ).
tcf(c_25707,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,one))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17551,c_393]) ).
tcf(c_25708,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(one,X2))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17550,c_393]) ).
tcf(c_25709,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))) = composition(join(X0,composition(X1,top)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_16909,c_393]) ).
tcf(c_25710,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_11)),composition(X1,converse(iPr_def_12))) = composition(join(X0,composition(X1,top)),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_16908,c_393]) ).
tcf(c_25711,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_12)),composition(X1,converse(iPr_def_12))) = composition(join(X0,composition(X1,top)),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_16918,c_393]) ).
tcf(c_25712,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(complement(iPr_def_12))),composition(X1,converse(iPr_def_10))) = composition(join(X0,composition(X1,top)),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_16923,c_393]) ).
tcf(c_25713,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_11),X1)),composition(X2,composition(converse(iPr_def_12),X1))) = composition(join(X0,composition(X2,top)),composition(converse(iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_16989,c_393]) ).
tcf(c_25714,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_12)),composition(X1,composition(iPr_def_10,converse(iPr_def_11)))) = composition(join(X0,composition(X1,iPr_def_10)),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_17002,c_393]) ).
tcf(c_25715,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(X1,composition(top,iPr_def_10))) = composition(join(X0,composition(X1,converse(iPr_def_10))),iPr_def_10),
inference(superposition,[status(thm)],[c_19078,c_393]) ).
tcf(c_25716,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_10),X1)),composition(X2,composition(converse(iPr_def_10),X1))) = composition(join(X0,composition(X2,top)),composition(converse(iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_17014,c_393]) ).
tcf(c_25717,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),composition(X1,composition(iPr_def_10,converse(iPr_def_10)))) = composition(join(X0,composition(X1,complement(iPr_def_12))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17023,c_393]) ).
tcf(c_25718,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),composition(X1,composition(iPr_def_11,converse(iPr_def_10)))) = composition(join(X0,composition(X1,iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17025,c_393]) ).
tcf(c_25719,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),composition(X2,composition(iPr_def_10,composition(converse(iPr_def_11),X1)))) = composition(join(X0,composition(X2,iPr_def_10)),composition(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_17451,c_393]) ).
tcf(c_25720,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_11),composition(X1,composition(converse(X2),iPr_def_11))) = composition(join(X0,composition(X1,converse(join(X2,iPr_def_10)))),iPr_def_11),
inference(superposition,[status(thm)],[c_17287,c_393]) ).
tcf(c_25721,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,converse(iPr_def_11))),iPr_def_11),
inference(superposition,[status(thm)],[c_17362,c_393]) ).
tcf(c_25722,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,converse(iPr_def_12))),iPr_def_11),
inference(superposition,[status(thm)],[c_17360,c_393]) ).
tcf(c_25723,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),composition(X2,composition(converse(iPr_def_12),X1))) = composition(join(X0,composition(X2,top)),composition(converse(iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_17470,c_393]) ).
tcf(c_25724,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(complement(iPr_def_12))),composition(X1,composition(iPr_def_10,converse(iPr_def_10)))) = composition(join(X0,composition(X1,iPr_def_10)),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17508,c_393]) ).
tcf(c_25725,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(composition(X1,iPr_def_10))),composition(X2,converse(composition(X1,iPr_def_10)))) = composition(join(X0,composition(X2,top)),converse(composition(X1,iPr_def_10))),
inference(superposition,[status(thm)],[c_17604,c_393]) ).
tcf(c_25726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,composition(X1,join(X2,join(X3,one)))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_17745,c_393]) ).
tcf(c_25727,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(composition(X1,iPr_def_12))),composition(X2,converse(composition(X1,iPr_def_12)))) = composition(join(X0,composition(X2,top)),converse(composition(X1,iPr_def_12))),
inference(superposition,[status(thm)],[c_17788,c_393]) ).
tcf(c_25728,plain,
! [X0: $i,X1: $i] : join(composition(X0,complement(composition(top,iPr_def_11))),composition(X1,zero)) = composition(join(X0,composition(X1,iPr_def_12)),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_19198,c_393]) ).
tcf(c_25729,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,converse(iPr_def_11))),iPr_def_12),
inference(superposition,[status(thm)],[c_20581,c_393]) ).
tcf(c_25730,plain,
! [X0: $i,X1: $i] : join(composition(X0,complement(composition(top,iPr_def_11))),composition(X1,zero)) = composition(join(X0,composition(X1,iPr_def_11)),complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_18560,c_393]) ).
tcf(c_25731,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),composition(X2,zero)) = composition(join(X0,composition(X2,top)),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(superposition,[status(thm)],[c_18222,c_393]) ).
tcf(c_25732,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),composition(X2,zero)) = composition(join(X0,composition(X2,iPr_def_10)),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),
inference(superposition,[status(thm)],[c_18823,c_393]) ).
tcf(c_25733,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(X1,composition(converse(X2),iPr_def_10))) = composition(join(X0,composition(X1,converse(join(iPr_def_11,X2)))),iPr_def_10),
inference(superposition,[status(thm)],[c_18476,c_393]) ).
tcf(c_25734,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(X1,composition(top,iPr_def_10))) = composition(join(X0,composition(X1,complement(converse(iPr_def_11)))),iPr_def_10),
inference(superposition,[status(thm)],[c_18477,c_393]) ).
tcf(c_25735,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(X1,composition(converse(X2),iPr_def_10))) = composition(join(X0,composition(X1,converse(join(X2,iPr_def_11)))),iPr_def_10),
inference(superposition,[status(thm)],[c_18951,c_393]) ).
tcf(c_25736,plain,
! [X0: $i,X1: $i] : join(composition(X0,complement(composition(top,iPr_def_10))),composition(X1,zero)) = composition(join(X0,composition(X1,iPr_def_10)),complement(composition(top,iPr_def_10))),
inference(superposition,[status(thm)],[c_19836,c_393]) ).
tcf(c_25737,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_12,X1)),composition(X2,composition(top,composition(iPr_def_11,X1)))) = composition(join(X0,composition(X2,top)),composition(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_20386,c_393]) ).
tcf(c_25738,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(X1,composition(iPr_def_10,iPr_def_11))) = composition(join(X0,composition(X1,iPr_def_10)),iPr_def_12),
inference(superposition,[status(thm)],[c_19869,c_393]) ).
tcf(c_25739,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_12,X1)),composition(X2,composition(iPr_def_10,composition(iPr_def_11,X1)))) = composition(join(X0,composition(X2,iPr_def_10)),composition(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_20422,c_393]) ).
tcf(c_25740,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_12),composition(X1,composition(converse(X2),iPr_def_12))) = composition(join(X0,composition(X1,converse(join(iPr_def_10,X2)))),iPr_def_12),
inference(superposition,[status(thm)],[c_20457,c_393]) ).
tcf(c_25741,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_12),composition(X1,composition(converse(X2),iPr_def_12))) = composition(join(X0,composition(X1,converse(join(X2,iPr_def_10)))),iPr_def_12),
inference(superposition,[status(thm)],[c_20498,c_393]) ).
tcf(c_25742,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),composition(X1,composition(top,iPr_def_11))) = composition(join(X0,composition(X1,converse(iPr_def_12))),iPr_def_12),
inference(superposition,[status(thm)],[c_20579,c_393]) ).
tcf(c_25743,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(X1,composition(top,iPr_def_10))) = composition(join(X0,composition(X1,complement(converse(iPr_def_12)))),iPr_def_10),
inference(superposition,[status(thm)],[c_20668,c_393]) ).
tcf(c_25744,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(composition(X2,iPr_def_10)))),complement(composition(X2,iPr_def_10))) = join(composition(X0,complement(composition(X2,iPr_def_10))),composition(X1,zero)),
inference(superposition,[status(thm)],[c_22506,c_393]) ).
tcf(c_25745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),composition(X1,join(composition(X2,iPr_def_10),composition(X3,top)))) = composition(join(X0,composition(X1,join(composition(X2,iPr_def_10),X3))),top),
inference(superposition,[status(thm)],[c_22679,c_393]) ).
tcf(c_25746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(iPr_def_10)),composition(X1,composition(join(X2,X3),converse(iPr_def_10)))) = composition(join(X0,composition(X1,join(composition(X3,top),X2))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_393]) ).
tcf(c_25747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),composition(X1,join(composition(X2,iPr_def_10),composition(X3,top)))) = composition(join(X0,composition(X1,join(X3,composition(X2,iPr_def_10)))),top),
inference(superposition,[status(thm)],[c_23730,c_393]) ).
tcf(c_25748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,composition(X1,converse(join(composition(X2,iPr_def_10),X3)))),complement(join(composition(X2,iPr_def_10),composition(X3,top)))) = join(composition(X0,complement(join(composition(X2,iPr_def_10),composition(X3,top)))),composition(X1,zero)),
inference(superposition,[status(thm)],[c_23788,c_393]) ).
tcf(c_25749,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25280,c_393]) ).
tcf(c_25750,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,composition(top,complement(composition(X2,top)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25283,c_393]) ).
tcf(c_25751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(composition(X2,composition(X3,X1)),join(X4,complement(composition(join(X0,composition(X2,X3)),X1))))) = top,
inference(superposition,[status(thm)],[c_393,c_12854]) ).
tcf(c_25752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,composition(X3,X1)),converse(complement(converse(composition(join(X0,composition(X2,X3)),X1)))))) = top,
inference(superposition,[status(thm)],[c_393,c_9717]) ).
tcf(c_25753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(composition(X0,X1),join(composition(X2,composition(X3,X1)),iPr_def_11))),complement(join(iPr_def_11,complement(composition(join(X0,composition(X2,X3)),X1))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_393,c_376]) ).
tcf(c_25754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(composition(X2,composition(X3,X1)),join(complement(composition(join(X0,composition(X2,X3)),X1)),X4))) = top,
inference(superposition,[status(thm)],[c_393,c_7392]) ).
tcf(c_25755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(join(X0,composition(X2,X3)),X1)) = composition(join(X0,composition(X2,X3)),X1),
inference(superposition,[status(thm)],[c_393,c_7878]) ).
tcf(c_25756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,composition(X3,X1)),complement(composition(join(X0,composition(X2,X3)),X1)))) = top,
inference(superposition,[status(thm)],[c_393,c_375]) ).
tcf(c_25757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(composition(X2,composition(X3,X1)),X4)) = join(composition(join(X0,composition(X2,X3)),X1),X4),
inference(superposition,[status(thm)],[c_393,c_50]) ).
tcf(c_25758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),composition(X3,X2)) = composition(join(X3,composition(X0,X1)),X2),
inference(superposition,[status(thm)],[c_393,c_49]) ).
tcf(c_25760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(X2,composition(X3,composition(X4,X1)))) = join(X2,composition(join(X0,composition(X3,X4)),X1)),
inference(superposition,[status(thm)],[c_393,c_191]) ).
tcf(c_25762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(join(converse(X1),composition(X2,X3)),complement(composition(X1,X0)))) = join(complement(X0),composition(X2,composition(X3,complement(composition(X1,X0))))),
inference(superposition,[status(thm)],[c_393,c_362]) ).
tcf(c_25763,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(join(converse(X0),composition(X1,X2)),complement(composition(X0,iPr_def_10)))) = join(iPr_def_11,composition(X1,composition(X2,complement(composition(X0,iPr_def_10))))),
inference(superposition,[status(thm)],[c_393,c_434]) ).
tcf(c_25766,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(complement(one),X0)),X1) = composition(top,composition(X0,X1)),
inference(superposition,[status(thm)],[c_393,c_11631]) ).
tcf(c_25767,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),composition(join(top,composition(X0,X1)),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_393,c_15739]) ).
tcf(c_25768,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(top,composition(X0,X1)),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_393,c_11990]) ).
tcf(c_25769,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(complement(join(iPr_def_11,X0)),composition(X1,X2)),top)) = join(iPr_def_10,composition(X1,composition(X2,top))),
inference(superposition,[status(thm)],[c_393,c_13393]) ).
tcf(c_25770,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(top,composition(X0,X1)),iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_393,c_14229]) ).
tcf(c_25771,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(top,composition(X0,X1)),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_393,c_15762]) ).
tcf(c_25772,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,composition(X1,top)),X2),converse(iPr_def_10)) = composition(composition(join(X2,composition(X0,X1)),top),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_393,c_25205]) ).
tcf(c_25773,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(join(X0,composition(X1,X2)),iPr_def_10)),complement(join(composition(X0,iPr_def_10),composition(composition(X1,composition(X2,iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_393,c_23788]) ).
tcf(c_25774,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(composition(X1,composition(X2,iPr_def_10)),top)) = composition(composition(join(X0,composition(X1,X2)),iPr_def_10),top),
inference(superposition,[status(thm)],[c_393,c_22679]) ).
tcf(c_25775,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(zero,X1)),X2) = join(zero,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_25629,c_50,c_49]) ).
tcf(c_25776,plain,
! [X0: $i,X1: $i] : composition(composition(top,X0),X1) = composition(top,composition(X0,X1)),
inference(light_normalisation,[status(thm)],[c_25766,c_11631]) ).
tcf(c_25777,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_12),iPr_def_10)),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_25635,c_50,c_49]) ).
tcf(c_25779,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_10),iPr_def_12)),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_25634,c_50,c_49]) ).
tcf(c_25781,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_11),iPr_def_10)),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_25632,c_50,c_49]) ).
tcf(c_25783,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_10),iPr_def_11)),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_25630,c_50,c_49]) ).
tcf(c_25785,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X2)),zero) = join(zero,composition(X1,zero)),
inference(light_normalisation,[status(thm)],[c_25668,c_8201]) ).
tcf(c_25786,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,one)),X2) = composition(join(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_25665,c_399]) ).
tcf(c_25787,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,X2)),one) = join(X0,composition(X1,X2)),
inference(light_normalisation,[status(thm)],[c_25647,c_53]) ).
tcf(c_25788,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_12,X1)) = composition(join(X0,iPr_def_12),X1),
inference(light_normalisation,[status(thm)],[c_25636,c_11779]) ).
tcf(c_25789,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(complement(iPr_def_12)),iPr_def_11)),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_25633,c_50,c_49]) ).
tcf(c_25791,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(converse(iPr_def_11),complement(iPr_def_12))),X1) = join(zero,composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_25631,c_50,c_49]) ).
tcf(c_25793,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(one,X1)),X2) = composition(join(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_25628,c_399]) ).
tcf(c_25794,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_10,X1)) = composition(join(X0,iPr_def_10),X1),
inference(light_normalisation,[status(thm)],[c_25626,c_193]) ).
tcf(c_25797,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_10,composition(iPr_def_11,X1))) = composition(join(X0,composition(iPr_def_10,iPr_def_11)),X1),
inference(light_normalisation,[status(thm)],[c_25645,c_19869]) ).
tcf(c_25798,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(top,composition(iPr_def_11,X1))) = composition(join(X0,composition(top,iPr_def_11)),X1),
inference(light_normalisation,[status(thm)],[c_25644,c_19797]) ).
tcf(c_25799,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(converse(iPr_def_12),X1)) = composition(join(X0,converse(iPr_def_12)),X1),
inference(light_normalisation,[status(thm)],[c_25641,c_16918]) ).
tcf(c_25800,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(converse(iPr_def_10),X1)) = composition(join(X0,converse(iPr_def_10)),X1),
inference(light_normalisation,[status(thm)],[c_25639,c_16909]) ).
tcf(c_25802,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))) = composition(join(X0,X1),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25709,c_25208]) ).
tcf(c_25803,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),composition(iPr_def_10,composition(converse(iPr_def_11),X1))) = composition(join(X0,composition(iPr_def_10,converse(iPr_def_11))),X1),
inference(light_normalisation,[status(thm)],[c_25640,c_17002]) ).
tcf(c_25805,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(one,composition(X1,X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_25579,c_50,c_49]) ).
tcf(c_25806,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(iPr_def_12),composition(X1,X2))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25562,c_50,c_49]) ).
tcf(c_25807,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_12),join(X0,composition(X1,X2))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25560,c_50,c_49]) ).
tcf(c_25808,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(iPr_def_10),composition(X1,X2))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,composition(X2,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_25557,c_50,c_49]) ).
tcf(c_25809,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_10),join(X0,composition(X1,X2))),iPr_def_12) = join(composition(X0,iPr_def_12),composition(X1,composition(X2,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_25556,c_50,c_49]) ).
tcf(c_25810,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(iPr_def_11),composition(X1,X2))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25551,c_50,c_49]) ).
tcf(c_25811,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_11),join(X0,composition(X1,X2))),iPr_def_10) = join(composition(X0,iPr_def_10),composition(X1,composition(X2,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_25549,c_50,c_49]) ).
tcf(c_25812,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(iPr_def_10),composition(X1,X2))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,composition(X2,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_25545,c_50,c_49]) ).
tcf(c_25813,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(iPr_def_10),join(X0,composition(X1,X2))),iPr_def_11) = join(composition(X0,iPr_def_11),composition(X1,composition(X2,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_25539,c_50,c_49]) ).
tcf(c_25814,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(join(X0,composition(X1,X2)),top),converse(iPr_def_10)) = composition(join(X0,composition(X1,X2)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_25772,c_25234]) ).
tcf(c_25815,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,composition(X2,top)))) = composition(join(X0,join(iPr_def_12,composition(X1,X2))),top),
inference(theory_normalisation,[status(thm)],[c_25570,c_50,c_49]) ).
tcf(c_25816,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,composition(X2,top)))) = composition(join(iPr_def_12,join(X0,composition(X1,X2))),top),
inference(theory_normalisation,[status(thm)],[c_25568,c_50,c_49]) ).
tcf(c_25817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,X0),composition(X2,composition(X3,X0)))) = composition(join(X1,join(one,composition(X2,X3))),X0),
inference(theory_normalisation,[status(thm)],[c_25542,c_50,c_49]) ).
tcf(c_25818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,X0),composition(X2,composition(X3,X0)))) = composition(join(one,join(X1,composition(X2,X3))),X0),
inference(theory_normalisation,[status(thm)],[c_25541,c_50,c_49]) ).
tcf(c_25819,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,top),composition(X1,composition(X2,top)))) = composition(join(X0,join(iPr_def_10,composition(X1,X2))),top),
inference(theory_normalisation,[status(thm)],[c_25532,c_50,c_49]) ).
tcf(c_25820,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,composition(X2,top)))) = composition(join(X0,join(iPr_def_11,composition(X1,X2))),top),
inference(theory_normalisation,[status(thm)],[c_25531,c_50,c_49]) ).
tcf(c_25821,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,top),composition(X1,composition(X2,top)))) = composition(join(iPr_def_10,join(X0,composition(X1,X2))),top),
inference(theory_normalisation,[status(thm)],[c_25530,c_50,c_49]) ).
tcf(c_25822,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),composition(X1,composition(X2,top)))) = composition(join(iPr_def_11,join(X0,composition(X1,X2))),top),
inference(theory_normalisation,[status(thm)],[c_25529,c_50,c_49]) ).
tcf(c_25823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(one,composition(X2,X3)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_25598,c_50,c_49]) ).
tcf(c_25824,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(join(X0,composition(X1,X2)),iPr_def_10)),complement(composition(composition(join(composition(X1,X2),X0),iPr_def_10),top))) = zero,
inference(light_normalisation,[status(thm)],[c_25773,c_23860]) ).
tcf(c_25825,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(complement(composition(X0,top)),composition(X1,X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_25621,c_50,c_49]) ).
tcf(c_25826,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(top,complement(composition(X0,top))),composition(X1,X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_25622,c_50,c_49]) ).
tcf(c_25827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),composition(X2,composition(X3,top)))) = composition(join(X1,join(composition(X0,iPr_def_10),composition(X2,X3))),top),
inference(theory_normalisation,[status(thm)],[c_25619,c_50,c_49]) ).
tcf(c_25828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),composition(X2,composition(X3,top)))) = composition(join(composition(X0,iPr_def_10),join(X1,composition(X2,X3))),top),
inference(theory_normalisation,[status(thm)],[c_25617,c_50,c_49]) ).
tcf(c_25829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(composition(join(X0,X1),top),composition(X2,composition(X3,top)))) = composition(join(X0,join(iPr_def_10,join(X1,composition(X2,X3)))),top),
inference(theory_normalisation,[status(thm)],[c_25535,c_50,c_49]) ).
tcf(c_25830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(iPr_def_10,X0),composition(top,X1)),composition(X2,composition(X3,X1))) = composition(join(iPr_def_10,join(composition(X0,top),composition(X2,X3))),X1),
inference(theory_normalisation,[status(thm)],[c_25534,c_50,c_49]) ).
tcf(c_25831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(iPr_def_11,complement(composition(join(X0,composition(X1,X2)),X3)))),complement(join(iPr_def_11,join(composition(X0,X3),composition(X1,composition(X2,X3)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_25753,c_50,c_49]) ).
tcf(c_25832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),composition(X2,composition(X3,converse(iPr_def_10)))) = composition(join(composition(X1,top),join(X0,composition(X2,X3))),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_25618,c_50,c_49]) ).
tcf(c_25833,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(iPr_def_10,converse(join(iPr_def_10,join(X1,iPr_def_10))))),complement(join(iPr_def_10,composition(X1,top)))) = join(zero,composition(X0,complement(join(iPr_def_10,composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_25643,c_50,c_49]) ).
tcf(c_25834,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(top,converse(join(iPr_def_10,join(X1,iPr_def_10))))),complement(join(iPr_def_10,composition(X1,top)))) = join(zero,composition(X0,complement(join(iPr_def_10,composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_25642,c_50,c_49]) ).
tcf(c_25901,plain,
! [X0: $i] : join(iPr_def_12,composition(join(top,X0),iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_54,c_24771]) ).
tcf(c_25903,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(composition(top,iPr_def_10),X1))) = top,
inference(superposition,[status(thm)],[c_191,c_24771]) ).
tcf(c_25906,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,composition(join(top,composition(X0,X1)),iPr_def_10)) = top,
inference(superposition,[status(thm)],[c_393,c_24771]) ).
tcf(c_25913,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,one),composition(top,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1782,c_24771]) ).
tcf(c_25914,plain,
! [X0: $i] : join(iPr_def_12,composition(join(one,X0),composition(top,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_1767,c_24771]) ).
tcf(c_25920,plain,
join(iPr_def_12,composition(top,composition(top,iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_11631,c_24771]) ).
tcf(c_25927,plain,
! [X0: $i] : join(complement(join(iPr_def_12,join(join(composition(top,iPr_def_10),X0),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_24771,c_376]) ).
tcf(c_25928,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(join(composition(top,iPr_def_10),X0),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_24771,c_7392]) ).
tcf(c_25931,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(join(composition(top,iPr_def_10),X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_24771,c_50]) ).
tcf(c_25932,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(X0,join(composition(top,iPr_def_10),X1))) = join(X0,top),
inference(superposition,[status(thm)],[c_24771,c_191]) ).
tcf(c_25934,plain,
join(complement(top),complement(join(iPr_def_11,complement(join(iPr_def_12,composition(top,iPr_def_10)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_24771,c_376]) ).
tcf(c_25940,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,iPr_def_10),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_24771,c_3214]) ).
tcf(c_25960,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(top,iPr_def_10),join(X0,X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_25931,c_50,c_49]) ).
tcf(c_25962,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(complement(top),join(X0,join(X1,composition(top,iPr_def_10))))) = top,
inference(theory_normalisation,[status(thm)],[c_25928,c_50,c_49]) ).
tcf(c_25963,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(zero,join(X0,join(X1,composition(top,iPr_def_10))))) = top,
inference(light_normalisation,[status(thm)],[c_25962,c_107]) ).
tcf(c_25967,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(iPr_def_12,composition(top,iPr_def_10)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_25927,c_50,c_49]) ).
tcf(c_25971,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_12,X0)),composition(iPr_def_10,X1)) = zero,
inference(demodulation,[status(thm)],[c_13325,c_8217]) ).
tcf(c_25972,plain,
! [X0: $i,X1: $i] : composition(composition(X0,converse(iPr_def_12)),composition(iPr_def_10,X1)) = zero,
inference(superposition,[status(thm)],[c_225,c_25971]) ).
tcf(c_25973,plain,
! [X0: $i] : composition(composition(top,converse(iPr_def_12)),composition(iPr_def_10,X0)) = zero,
inference(superposition,[status(thm)],[c_2354,c_25971]) ).
tcf(c_25979,plain,
! [X0: $i] : composition(converse(composition(iPr_def_11,converse(iPr_def_10))),composition(iPr_def_10,X0)) = zero,
inference(superposition,[status(thm)],[c_17025,c_25971]) ).
tcf(c_25980,plain,
! [X0: $i] : composition(converse(zero),composition(iPr_def_10,X0)) = zero,
inference(superposition,[status(thm)],[c_19198,c_25971]) ).
tcf(c_25989,plain,
! [X0: $i] : composition(converse(composition(iPr_def_12,X0)),zero) = zero,
inference(superposition,[status(thm)],[c_18823,c_25971]) ).
tcf(c_25993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,converse(composition(iPr_def_12,X1))),X2),composition(iPr_def_10,X3)) = join(composition(X0,zero),composition(X2,composition(iPr_def_10,X3))),
inference(superposition,[status(thm)],[c_25971,c_388]) ).
tcf(c_25994,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(zero),complement(composition(converse(composition(iPr_def_12,X1)),composition(composition(iPr_def_10,X2),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25971,c_385]) ).
tcf(c_25995,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(converse(composition(iPr_def_12,X0)),iPr_def_10),X1),X2) = join(zero,composition(X1,X2)),
inference(superposition,[status(thm)],[c_25971,c_388]) ).
tcf(c_25996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(composition(iPr_def_12,X0)),composition(X1,X2)),composition(iPr_def_10,X3)) = join(zero,composition(X1,composition(X2,composition(iPr_def_10,X3)))),
inference(superposition,[status(thm)],[c_25971,c_393]) ).
tcf(c_25997,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),converse(converse(composition(iPr_def_12,X2)))) = join(converse(zero),composition(X1,converse(converse(composition(iPr_def_12,X2))))),
inference(superposition,[status(thm)],[c_25971,c_390]) ).
tcf(c_25998,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(composition(iPr_def_12,X0)),composition(composition(iPr_def_10,X1),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25971,c_433]) ).
tcf(c_25999,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(iPr_def_12,X0)),X1),composition(iPr_def_10,X2)) = join(zero,composition(X1,composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_25971,c_54]) ).
tcf(c_26000,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(iPr_def_12,X0)),composition(composition(iPr_def_10,X1),X2)) = composition(zero,X2),
inference(superposition,[status(thm)],[c_25971,c_52]) ).
tcf(c_26001,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),composition(iPr_def_10,X2)) = join(composition(X0,composition(iPr_def_10,X2)),zero),
inference(superposition,[status(thm)],[c_25971,c_54]) ).
tcf(c_26002,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(iPr_def_10,X0)),join(composition(converse(converse(composition(iPr_def_12,X1))),complement(zero)),X2)) = join(complement(composition(iPr_def_10,X0)),X2),
inference(superposition,[status(thm)],[c_25971,c_362]) ).
tcf(c_26004,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(composition(iPr_def_12,X0))),composition(iPr_def_10,X1)) = join(composition(iPr_def_10,X1),zero),
inference(superposition,[status(thm)],[c_25971,c_1767]) ).
tcf(c_26005,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(converse(composition(iPr_def_12,X1))),complement(zero))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_25971,c_76]) ).
tcf(c_26006,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(composition(iPr_def_12,X1),complement(zero))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_25971,c_350]) ).
tcf(c_26007,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_12,X1)) = converse(zero),
inference(superposition,[status(thm)],[c_25971,c_226]) ).
tcf(c_26008,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(composition(composition(iPr_def_12,X0),X1)),composition(iPr_def_10,X2)) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_25971,c_381]) ).
tcf(c_26009,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(composition(X1,converse(composition(iPr_def_12,X2)))),complement(composition(X1,zero)))) = complement(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_25971,c_385]) ).
tcf(c_26010,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(composition(iPr_def_12,X1)),iPr_def_10)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_25971,c_385]) ).
tcf(c_26011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_12,X2))),composition(iPr_def_10,X3)) = join(composition(X0,composition(X1,composition(iPr_def_10,X3))),zero),
inference(superposition,[status(thm)],[c_25971,c_388]) ).
tcf(c_26012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,composition(X1,converse(composition(iPr_def_12,X2)))),composition(iPr_def_10,X3)) = join(composition(X0,composition(iPr_def_10,X3)),composition(X1,zero)),
inference(superposition,[status(thm)],[c_25971,c_393]) ).
tcf(c_26013,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(converse(composition(iPr_def_12,X1)),iPr_def_10)),X2) = join(composition(X0,X2),zero),
inference(superposition,[status(thm)],[c_25971,c_393]) ).
tcf(c_26014,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(composition(iPr_def_12,X0)),iPr_def_10)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25971,c_433]) ).
tcf(c_26015,plain,
! [X0: $i] : composition(zero,composition(iPr_def_10,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_25980,c_1950]) ).
tcf(c_26017,plain,
! [X0: $i,X1: $i] : composition(converse(composition(iPr_def_10,X0)),composition(iPr_def_12,X1)) = zero,
inference(light_normalisation,[status(thm)],[c_26007,c_1950,c_21033]) ).
tcf(c_26019,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(converse(composition(iPr_def_12,X1)),iPr_def_10)),X2) = join(zero,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_26013,c_50,c_49]) ).
tcf(c_26020,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(composition(converse(composition(iPr_def_12,X1)),iPr_def_10)),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_26010,c_1431]) ).
tcf(c_26021,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(composition(iPr_def_12,X1),top)) = complement(composition(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_26006,c_1431]) ).
tcf(c_26022,plain,
! [X0: $i,X1: $i] : composition(join(one,converse(composition(iPr_def_12,X0))),composition(iPr_def_10,X1)) = join(zero,composition(iPr_def_10,X1)),
inference(theory_normalisation,[status(thm)],[c_26004,c_50,c_49]) ).
tcf(c_26026,plain,
! [X0: $i,X1: $i] : join(complement(composition(iPr_def_10,X0)),composition(converse(converse(composition(iPr_def_12,X1))),top)) = complement(composition(iPr_def_10,X0)),
inference(light_normalisation,[status(thm)],[c_26005,c_1431]) ).
tcf(c_26027,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),composition(iPr_def_10,X2)) = join(zero,composition(X0,composition(iPr_def_10,X2))),
inference(theory_normalisation,[status(thm)],[c_26001,c_50,c_49]) ).
tcf(c_26028,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(composition(iPr_def_12,X0)),composition(composition(iPr_def_10,X1),iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_25998,c_1950]) ).
tcf(c_26029,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(zero,complement(composition(converse(composition(iPr_def_12,X1)),composition(composition(iPr_def_10,X2),X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_25994,c_1950]) ).
tcf(c_26030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),converse(composition(iPr_def_12,X2))),composition(iPr_def_10,X3)) = join(zero,composition(X0,composition(X1,composition(iPr_def_10,X3)))),
inference(theory_normalisation,[status(thm)],[c_26011,c_50,c_49]) ).
tcf(c_26031,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(iPr_def_10,X0)),join(composition(converse(converse(composition(iPr_def_12,X1))),top),X2)) = join(complement(composition(iPr_def_10,X0)),X2),
inference(light_normalisation,[status(thm)],[c_26002,c_1431]) ).
tcf(c_26032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,converse(composition(iPr_def_12,X1))),X2),composition(iPr_def_10,X3)) = join(zero,composition(X2,composition(iPr_def_10,X3))),
inference(light_normalisation,[status(thm)],[c_25993,c_8201]) ).
tcf(c_26033,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(composition(iPr_def_10,X0)),X1),converse(converse(composition(iPr_def_12,X2)))) = join(zero,composition(X1,converse(converse(composition(iPr_def_12,X2))))),
inference(light_normalisation,[status(thm)],[c_25997,c_1950]) ).
tcf(c_26044,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(complement(X0),iPr_def_11)),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_362,c_13426]) ).
tcf(c_26071,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(complement(join(X0,join(X1,join(X2,iPr_def_11)))),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_50,c_13426]) ).
tcf(c_26077,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(X1,iPr_def_11))),top),converse(complement(converse(iPr_def_10))))) = top,
inference(superposition,[status(thm)],[c_13426,c_9717]) ).
tcf(c_26078,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_10,join(composition(complement(join(X0,join(X1,iPr_def_11))),top),iPr_def_11))),complement(join(iPr_def_11,complement(iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_13426,c_376]) ).
tcf(c_26079,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(X1,iPr_def_11))),top),join(complement(iPr_def_10),X2))) = top,
inference(superposition,[status(thm)],[c_13426,c_7392]) ).
tcf(c_26081,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(X1,iPr_def_11))),top),complement(iPr_def_10))) = top,
inference(superposition,[status(thm)],[c_13426,c_375]) ).
tcf(c_26082,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(complement(join(X0,join(X1,iPr_def_11))),top),X2)) = join(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_13426,c_50]) ).
tcf(c_26083,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,composition(complement(join(X1,join(X2,iPr_def_11))),top))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_13426,c_191]) ).
tcf(c_26085,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(X1,join(X2,iPr_def_11))),top)),top)) = composition(join(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_13426,c_9109]) ).
tcf(c_26086,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(X1,iPr_def_11))),top)),iPr_def_12) = composition(converse(iPr_def_10),iPr_def_12),
inference(superposition,[status(thm)],[c_13426,c_20457]) ).
tcf(c_26087,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(composition(complement(join(X0,join(X1,iPr_def_11))),top),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_13426,c_18626]) ).
tcf(c_26088,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(X1,iPr_def_11))),top)),iPr_def_11) = composition(converse(iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_13426,c_16861]) ).
tcf(c_26089,plain,
! [X0: $i,X1: $i] : composition(converse(iPr_def_10),complement(join(iPr_def_10,composition(composition(complement(join(X0,join(X1,iPr_def_11))),top),top)))) = zero,
inference(superposition,[status(thm)],[c_13426,c_9562]) ).
tcf(c_26090,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(complement(join(X0,join(X1,iPr_def_11))),top),top)) = composition(iPr_def_10,top),
inference(superposition,[status(thm)],[c_13426,c_392]) ).
tcf(c_26091,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_11))),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13426,c_18823]) ).
tcf(c_26092,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(complement(join(X0,join(X1,iPr_def_11))),iPr_def_10))),complement(iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_13426,c_18222]) ).
tcf(c_26093,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,complement(join(X0,join(X1,iPr_def_11)))))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13426,c_16911]) ).
tcf(c_26094,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,complement(join(X0,join(X1,iPr_def_11)))),composition(top,X2)) = composition(iPr_def_10,X2),
inference(superposition,[status(thm)],[c_13426,c_445]) ).
tcf(c_26095,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,complement(join(X0,join(X1,iPr_def_11))))),complement(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_13426,c_9562]) ).
tcf(c_26098,plain,
! [X0: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,complement(X0))),top)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26044,c_50,c_49]) ).
tcf(c_26102,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(X0,join(X1,iPr_def_11))),top))) = top,
inference(theory_normalisation,[status(thm)],[c_26081,c_50,c_49]) ).
tcf(c_26103,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(X1,iPr_def_11))),top))) = top,
inference(light_normalisation,[status(thm)],[c_26102,c_192]) ).
tcf(c_26105,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(composition(complement(join(X0,join(X1,iPr_def_11))),top),top)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_26090,c_193]) ).
tcf(c_26106,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(X1,iPr_def_11))),top)),iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_26088,c_1360]) ).
tcf(c_26107,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(join(X0,join(X1,iPr_def_11))),top)),iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_26086,c_7055]) ).
tcf(c_26108,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(complement(iPr_def_10),join(X0,composition(complement(join(X1,join(X2,iPr_def_11))),top)))) = top,
inference(theory_normalisation,[status(thm)],[c_26079,c_50,c_49]) ).
tcf(c_26109,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(iPr_def_11,join(X0,composition(complement(join(X1,join(X2,iPr_def_11))),top)))) = top,
inference(light_normalisation,[status(thm)],[c_26108,c_192]) ).
tcf(c_26110,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(converse(complement(converse(iPr_def_10))),composition(complement(join(X0,join(X1,iPr_def_11))),top))) = top,
inference(theory_normalisation,[status(thm)],[c_26077,c_50,c_49]) ).
tcf(c_26113,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(X0,join(X1,iPr_def_11)))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_26092,c_50,c_49]) ).
tcf(c_26115,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,complement(join(X0,join(X1,iPr_def_11)))))),complement(iPr_def_10))) = zero,
inference(theory_normalisation,[status(thm)],[c_26091,c_50,c_49]) ).
tcf(c_26117,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(join(X0,composition(complement(join(X1,join(X2,iPr_def_11))),top)),top)) = join(iPr_def_10,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_26085,c_401]) ).
tcf(c_26118,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(iPr_def_10))),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(X1,iPr_def_11))),top))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26078,c_50,c_49]) ).
tcf(c_26119,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,iPr_def_11)),complement(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(X1,iPr_def_11))),top))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_26118,c_192]) ).
tcf(c_26120,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(top,composition(converse(iPr_def_10),complement(composition(join(iPr_def_10,composition(complement(join(X0,join(X1,iPr_def_11))),top)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_26087,c_50,c_49]) ).
tcf(c_26135,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_49,c_9041]) ).
tcf(c_26142,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),join(X1,complement(join(X0,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_9041,c_12854]) ).
tcf(c_26143,plain,
! [X0: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),converse(complement(converse(join(X0,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_9041,c_9717]) ).
tcf(c_26144,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(X0,iPr_def_12),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9041,c_376]) ).
tcf(c_26145,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(X0,iPr_def_12),join(complement(join(X0,iPr_def_11)),X1))) = top,
inference(superposition,[status(thm)],[c_9041,c_7392]) ).
tcf(c_26147,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_9041,c_375]) ).
tcf(c_26151,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_9041,c_191]) ).
tcf(c_26152,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_12)) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_9041,c_191]) ).
tcf(c_26155,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),iPr_def_10) = composition(converse(join(X0,iPr_def_12)),iPr_def_10),
inference(superposition,[status(thm)],[c_9041,c_18476]) ).
tcf(c_26160,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,iPr_def_12),join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_9041,c_11158]) ).
tcf(c_26162,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,iPr_def_12),top)) = composition(join(X0,iPr_def_11),top),
inference(superposition,[status(thm)],[c_9041,c_391]) ).
tcf(c_26211,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_26147,c_50,c_49]) ).
tcf(c_26220,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,join(complement(join(X0,iPr_def_11)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_26145,c_50,c_49]) ).
tcf(c_26221,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,converse(complement(converse(join(X0,iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_26143,c_50,c_49]) ).
tcf(c_26222,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(iPr_def_12,join(X1,complement(join(X0,iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_26142,c_50,c_49]) ).
tcf(c_26223,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(iPr_def_11,join(X0,iPr_def_12))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_26160,c_50,c_49]) ).
tcf(c_26225,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(iPr_def_11,join(X0,join(iPr_def_11,iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26144,c_50,c_49]) ).
tcf(c_26236,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,converse(complement(one))))) = top,
inference(superposition,[status(thm)],[c_50,c_9174]) ).
tcf(c_26243,plain,
! [X0: $i] : join(one,join(join(X0,converse(complement(one))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_9174,c_9717]) ).
tcf(c_26245,plain,
! [X0: $i,X1: $i] : join(one,join(join(X0,converse(complement(one))),join(complement(top),X1))) = top,
inference(superposition,[status(thm)],[c_9174,c_7392]) ).
tcf(c_26248,plain,
! [X0: $i,X1: $i] : join(one,join(join(X0,converse(complement(one))),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_9174,c_50]) ).
tcf(c_26251,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,converse(complement(one))))) = join(X0,top),
inference(superposition,[status(thm)],[c_9174,c_191]) ).
tcf(c_26252,plain,
! [X0: $i] : join(X0,join(one,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_9174,c_191]) ).
tcf(c_26253,plain,
join(iPr_def_10,composition(join(one,converse(complement(one))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_9174,c_9109]) ).
tcf(c_26257,plain,
! [X0: $i] : join(one,converse(join(X0,converse(complement(one))))) = converse(top),
inference(superposition,[status(thm)],[c_9174,c_1723]) ).
tcf(c_26264,plain,
! [X0: $i] : join(one,converse(join(X0,converse(complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_26257,c_2343]) ).
tcf(c_26268,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(converse(complement(one)),X1))) = join(top,X1),
inference(theory_normalisation,[status(thm)],[c_26248,c_50,c_49]) ).
tcf(c_26270,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(complement(top),join(X1,converse(complement(one)))))) = top,
inference(theory_normalisation,[status(thm)],[c_26245,c_50,c_49]) ).
tcf(c_26271,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(zero,join(X1,converse(complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_26270,c_107]) ).
tcf(c_26272,plain,
! [X0: $i] : join(one,join(X0,join(converse(complement(one)),converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_26243,c_50,c_49]) ).
tcf(c_26273,plain,
! [X0: $i] : join(one,join(X0,join(converse(complement(one)),zero))) = top,
inference(light_normalisation,[status(thm)],[c_26272,c_107,c_1950,c_2343]) ).
tcf(c_26274,plain,
! [X0: $i] : join(one,join(X0,join(zero,converse(complement(one))))) = top,
inference(theory_normalisation,[status(thm)],[c_26273,c_50,c_49]) ).
tcf(c_26288,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(X1,iPr_def_10)) = composition(join(composition(X1,iPr_def_10),X0),top),
inference(superposition,[status(thm)],[c_49,c_25650]) ).
tcf(c_26290,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),top),composition(X2,iPr_def_10)) = composition(join(X0,join(X1,composition(X2,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_50,c_25650]) ).
tcf(c_26291,plain,
! [X0: $i,X1: $i] : join(composition(composition(X0,iPr_def_10),top),composition(X1,iPr_def_10)) = composition(composition(join(X0,X1),iPr_def_10),top),
inference(superposition,[status(thm)],[c_54,c_25650]) ).
tcf(c_26292,plain,
! [X0: $i] : join(composition(zero,top),composition(X0,iPr_def_10)) = composition(composition(X0,iPr_def_10),top),
inference(superposition,[status(thm)],[c_1336,c_25650]) ).
tcf(c_26293,plain,
! [X0: $i] : join(composition(top,top),composition(X0,iPr_def_10)) = composition(top,top),
inference(superposition,[status(thm)],[c_7096,c_25650]) ).
tcf(c_26294,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(composition(X0,composition(X1,iPr_def_10)),top),composition(X2,iPr_def_10)) = composition(composition(join(composition(X0,X1),X2),iPr_def_10),top),
inference(superposition,[status(thm)],[c_388,c_25650]) ).
tcf(c_26300,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),composition(X1,composition(X2,iPr_def_10))) = composition(join(X0,composition(X1,composition(X2,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_52,c_25650]) ).
tcf(c_26303,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(iPr_def_10,composition(X1,iPr_def_10))) = composition(join(X0,join(iPr_def_10,composition(X1,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_1767,c_25650]) ).
tcf(c_26319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(composition(X1,top),composition(X2,iPr_def_10))),composition(X3,top)) = composition(join(composition(X0,join(X1,composition(X2,iPr_def_10))),X3),top),
inference(superposition,[status(thm)],[c_25650,c_388]) ).
tcf(c_26320,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(join(composition(X1,top),composition(X2,iPr_def_10))),complement(composition(join(X1,composition(X2,iPr_def_10)),composition(top,X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25650,c_385]) ).
tcf(c_26321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,top),composition(X1,iPr_def_10)),composition(X2,composition(X3,top))) = composition(join(join(X0,composition(X1,iPr_def_10)),composition(X2,X3)),top),
inference(superposition,[status(thm)],[c_25650,c_393]) ).
tcf(c_26322,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(composition(X0,top),composition(X1,iPr_def_10))),composition(X2,converse(join(X0,composition(X1,iPr_def_10))))) = composition(join(converse(top),X2),converse(join(X0,composition(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_25650,c_390]) ).
tcf(c_26323,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(join(composition(X0,top),composition(X1,iPr_def_10))),complement(composition(join(X0,composition(X1,iPr_def_10)),composition(top,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25650,c_433]) ).
tcf(c_26325,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,top),composition(X1,iPr_def_10)),X2) = composition(join(X0,composition(X1,iPr_def_10)),composition(top,X2)),
inference(superposition,[status(thm)],[c_25650,c_52]) ).
tcf(c_26326,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(composition(X1,top),composition(X2,iPr_def_10))) = composition(join(X0,join(X1,composition(X2,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_25650,c_54]) ).
tcf(c_26327,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),join(composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X0,top),composition(X1,iPr_def_10)))),X2)) = join(complement(top),X2),
inference(superposition,[status(thm)],[c_25650,c_362]) ).
tcf(c_26328,plain,
! [X0: $i,X1: $i] : join(complement(top),composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X0,top),composition(X1,iPr_def_10))))) = complement(top),
inference(superposition,[status(thm)],[c_25650,c_76]) ).
tcf(c_26329,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(X1,iPr_def_10)),composition(top,complement(join(composition(X0,top),composition(X1,iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25650,c_25283]) ).
tcf(c_26330,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(X1,iPr_def_10)),complement(join(composition(X0,top),composition(X1,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25650,c_25280]) ).
tcf(c_26331,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(composition(X0,top),composition(X1,iPr_def_10)),X2),converse(iPr_def_10)) = composition(join(X2,join(X0,composition(X1,iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25650,c_25205]) ).
tcf(c_26332,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(join(X0,composition(X1,iPr_def_10)),iPr_def_10))),complement(join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10)))))) = zero,
inference(superposition,[status(thm)],[c_25650,c_18823]) ).
tcf(c_26333,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(join(X0,composition(X1,iPr_def_10)),iPr_def_10))),complement(join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10)))))) = zero,
inference(superposition,[status(thm)],[c_25650,c_18222]) ).
tcf(c_26334,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(iPr_def_10,join(X0,composition(X1,iPr_def_10))))) = converse(join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_25650,c_16911]) ).
tcf(c_26335,plain,
! [X0: $i,X1: $i] : composition(top,converse(join(X0,composition(X1,iPr_def_10)))) = converse(join(composition(X0,top),composition(X1,iPr_def_10))),
inference(superposition,[status(thm)],[c_25650,c_2354]) ).
tcf(c_26336,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10))),X2) = composition(join(iPr_def_10,join(X0,composition(X1,iPr_def_10))),composition(top,X2)),
inference(superposition,[status(thm)],[c_25650,c_445]) ).
tcf(c_26337,plain,
! [X0: $i,X1: $i] : composition(converse(join(iPr_def_10,join(X0,composition(X1,iPr_def_10)))),complement(join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10))))) = zero,
inference(superposition,[status(thm)],[c_25650,c_9562]) ).
tcf(c_26338,plain,
! [X0: $i,X1: $i] : composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X0,top),composition(X1,iPr_def_10)))) = zero,
inference(superposition,[status(thm)],[c_25650,c_9545]) ).
tcf(c_26339,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(top),composition(converse(composition(X0,join(X1,composition(X2,iPr_def_10)))),complement(composition(X0,join(composition(X1,top),composition(X2,iPr_def_10)))))) = complement(top),
inference(superposition,[status(thm)],[c_25650,c_385]) ).
tcf(c_26340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,top)),join(composition(X2,top),composition(X3,iPr_def_10))) = composition(join(composition(X0,X1),join(X2,composition(X3,iPr_def_10))),top),
inference(superposition,[status(thm)],[c_25650,c_388]) ).
tcf(c_26341,plain,
! [X0: $i] : join(composition(iPr_def_11,top),composition(X0,iPr_def_10)) = join(iPr_def_12,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_25650,c_391]) ).
tcf(c_26342,plain,
! [X0: $i] : join(composition(iPr_def_10,top),composition(X0,iPr_def_10)) = join(iPr_def_10,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_25650,c_392]) ).
tcf(c_26343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),composition(X1,join(composition(X2,top),composition(X3,iPr_def_10)))) = composition(join(X0,composition(X1,join(X2,composition(X3,iPr_def_10)))),top),
inference(superposition,[status(thm)],[c_25650,c_393]) ).
tcf(c_26344,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(X0,iPr_def_10),join(X1,composition(X2,iPr_def_10)))),complement(join(composition(X0,iPr_def_10),join(composition(X1,top),composition(X2,iPr_def_10))))) = zero,
inference(superposition,[status(thm)],[c_25650,c_23788]) ).
tcf(c_26345,plain,
! [X0: $i,X1: $i,X2: $i] : composition(top,converse(join(composition(X0,iPr_def_10),join(X1,composition(X2,iPr_def_10))))) = converse(join(composition(X0,iPr_def_10),join(composition(X1,top),composition(X2,iPr_def_10)))),
inference(superposition,[status(thm)],[c_25650,c_23785]) ).
tcf(c_26346,plain,
! [X0: $i] : join(composition(one,top),composition(X0,iPr_def_10)) = join(top,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_25650,c_1767]) ).
tcf(c_26347,plain,
! [X0: $i] : join(composition(iPr_def_12,top),composition(X0,iPr_def_10)) = join(iPr_def_12,composition(composition(X0,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_25650,c_11839]) ).
tcf(c_26348,plain,
! [X0: $i,X1: $i] : join(composition(composition(X0,iPr_def_10),top),composition(X1,iPr_def_10)) = join(composition(X0,iPr_def_10),composition(composition(X1,iPr_def_10),top)),
inference(superposition,[status(thm)],[c_25650,c_22679]) ).
tcf(c_26357,plain,
! [X0: $i] : join(top,composition(X0,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_26293,c_11762]) ).
tcf(c_26365,plain,
! [X0: $i,X1: $i] : join(composition(composition(X0,iPr_def_10),top),composition(X1,iPr_def_10)) = composition(composition(join(X1,X0),iPr_def_10),top),
inference(light_normalisation,[status(thm)],[c_26348,c_23857]) ).
tcf(c_26366,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10))) = composition(join(X0,join(iPr_def_10,composition(X1,iPr_def_10))),top),
inference(theory_normalisation,[status(thm)],[c_26303,c_50,c_49]) ).
tcf(c_26367,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(X1,iPr_def_10),complement(join(composition(X0,top),composition(X1,iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26330,c_50,c_49]) ).
tcf(c_26368,plain,
! [X0: $i,X1: $i] : join(zero,composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X0,top),composition(X1,iPr_def_10))))) = zero,
inference(light_normalisation,[status(thm)],[c_26328,c_107]) ).
tcf(c_26370,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(X1,iPr_def_10),composition(top,complement(join(composition(X0,top),composition(X1,iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26329,c_50,c_49]) ).
tcf(c_26371,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,top),join(composition(X1,iPr_def_10),X2)),converse(iPr_def_10)) = composition(join(X2,join(X0,composition(X1,iPr_def_10))),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_26331,c_50,c_49]) ).
tcf(c_26372,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(converse(composition(X0,join(X1,composition(X2,iPr_def_10)))),complement(composition(X0,join(composition(X1,top),composition(X2,iPr_def_10)))))) = zero,
inference(light_normalisation,[status(thm)],[c_26339,c_107]) ).
tcf(c_26373,plain,
! [X0: $i,X1: $i] : composition(top,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,composition(X1,iPr_def_10))))),complement(join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_26333,c_50,c_49]) ).
tcf(c_26374,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,composition(converse(join(iPr_def_10,join(X0,join(iPr_def_10,composition(X1,iPr_def_10))))),complement(join(iPr_def_10,join(composition(X0,top),composition(X1,iPr_def_10)))))) = zero,
inference(theory_normalisation,[status(thm)],[c_26332,c_50,c_49]) ).
tcf(c_26375,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(converse(join(X0,composition(X1,iPr_def_10))),complement(join(composition(X0,top),composition(X1,iPr_def_10)))),X2)) = join(zero,X2),
inference(light_normalisation,[status(thm)],[c_26327,c_107]) ).
tcf(c_26376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(composition(X1,iPr_def_10),composition(X2,composition(X3,top)))) = composition(join(X0,join(composition(X1,iPr_def_10),composition(X2,X3))),top),
inference(theory_normalisation,[status(thm)],[c_26321,c_50,c_49]) ).
tcf(c_26377,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(join(composition(X0,top),composition(X1,iPr_def_10))),composition(X2,converse(join(X0,composition(X1,iPr_def_10))))) = composition(join(top,X2),converse(join(X0,composition(X1,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_26322,c_2343]) ).
tcf(c_26389,plain,
! [X0: $i,X1: $i] : composition(join(complement(X0),complement(composition(composition(converse(X1),complement(composition(X1,X0))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_362,c_25285]) ).
tcf(c_26392,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(composition(complement(join(iPr_def_11,complement(X0))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_369,c_25285]) ).
tcf(c_26393,plain,
! [X0: $i] : composition(join(iPr_def_11,complement(composition(composition(converse(X0),complement(composition(X0,iPr_def_10))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_434,c_25285]) ).
tcf(c_26396,plain,
composition(join(iPr_def_11,complement(composition(iPr_def_12,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_3214,c_25285]) ).
tcf(c_26403,plain,
composition(join(iPr_def_11,complement(composition(complement(converse(complement(converse(iPr_def_11)))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12338,c_25285]) ).
tcf(c_26404,plain,
composition(join(complement(iPr_def_12),complement(composition(complement(iPr_def_12),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_25285]) ).
tcf(c_26405,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(composition(complement(join(iPr_def_11,X0)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_25285]) ).
tcf(c_26406,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(composition(composition(complement(join(iPr_def_11,X0)),top),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13393,c_25285]) ).
tcf(c_26413,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(join(X1,X2),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25285]) ).
tcf(c_26414,plain,
! [X0: $i] : composition(join(X0,complement(composition(zero,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25285]) ).
tcf(c_26416,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,X2),complement(composition(X1,composition(X2,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_52,c_25285]) ).
tcf(c_26417,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_116,c_25285]) ).
tcf(c_26418,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_25285]) ).
tcf(c_26419,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_11,X1),complement(join(iPr_def_12,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_391,c_25285]) ).
tcf(c_26420,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_10,X1),complement(join(iPr_def_10,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_392,c_25285]) ).
tcf(c_26421,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,iPr_def_11),complement(join(iPr_def_12,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_402,c_25285]) ).
tcf(c_26422,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,iPr_def_10),complement(join(iPr_def_10,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_401,c_25285]) ).
tcf(c_26423,plain,
! [X0: $i] : composition(join(X0,join(top,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11762,c_25285]) ).
tcf(c_26424,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_10,composition(X1,top)),complement(composition(join(iPr_def_10,X1),composition(top,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_445,c_25285]) ).
tcf(c_26425,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(X1,join(iPr_def_10,X2)),complement(join(iPr_def_10,composition(join(X1,X2),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9109,c_25285]) ).
tcf(c_26426,plain,
! [X0: $i] : composition(join(X0,join(one,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1708,c_25285]) ).
tcf(c_26427,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_12,complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11779,c_25285]) ).
tcf(c_26428,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(one,X1),complement(join(top,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_25285]) ).
tcf(c_26429,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,one),complement(join(top,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_25285]) ).
tcf(c_26430,plain,
! [X0: $i] : composition(join(X0,join(zero,complement(zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8217,c_25285]) ).
tcf(c_26431,plain,
! [X0: $i] : composition(join(X0,join(converse(iPr_def_12),complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18563,c_25285]) ).
tcf(c_26432,plain,
! [X0: $i] : composition(join(X0,join(converse(iPr_def_10),complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_19820,c_25285]) ).
tcf(c_26433,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_12,X1),complement(join(iPr_def_12,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11839,c_25285]) ).
tcf(c_26434,plain,
! [X0: $i] : composition(join(X0,join(complement(iPr_def_12),complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_25285]) ).
tcf(c_26435,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,iPr_def_12),complement(join(iPr_def_12,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11846,c_25285]) ).
tcf(c_26436,plain,
! [X0: $i] : composition(join(X0,join(converse(iPr_def_11),complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18545,c_25285]) ).
tcf(c_26437,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(composition(X1,iPr_def_10),X2),complement(join(composition(X1,iPr_def_10),composition(X2,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_22679,c_25285]) ).
tcf(c_26438,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(X1,composition(X2,iPr_def_10)),complement(join(composition(X2,iPr_def_10),composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23730,c_25285]) ).
tcf(c_26439,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(X1,composition(X2,iPr_def_10)),complement(join(composition(X1,top),composition(X2,iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25650,c_25285]) ).
tcf(c_26440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,join(X1,join(X2,complement(composition(X2,top))))),X3),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X3,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25285,c_388]) ).
tcf(c_26441,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,join(X2,complement(composition(X2,top)))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25285,c_385]) ).
tcf(c_26442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,complement(composition(X1,top)))),composition(X2,X3)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25285,c_393]) ).
tcf(c_26443,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,complement(composition(X2,top))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,join(X2,complement(composition(X2,top)))))),
inference(superposition,[status(thm)],[c_25285,c_390]) ).
tcf(c_26444,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,complement(composition(X1,top)))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25285,c_433]) ).
tcf(c_26445,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(composition(X1,top)))),X2),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25285,c_54]) ).
tcf(c_26446,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,complement(composition(X1,top)))),composition(converse(iPr_def_10),X2)) = composition(converse(iPr_def_10),X2),
inference(superposition,[status(thm)],[c_25285,c_52]) ).
tcf(c_26447,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_54]) ).
tcf(c_26448,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,join(X1,complement(composition(X1,top))))),complement(converse(iPr_def_10))),X2)) = join(complement(converse(iPr_def_10)),X2),
inference(superposition,[status(thm)],[c_25285,c_362]) ).
tcf(c_26449,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,complement(composition(X1,top)))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_1782]) ).
tcf(c_26450,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_1767]) ).
tcf(c_26451,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,join(X1,complement(composition(X1,top))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_76]) ).
tcf(c_26452,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,converse(join(X0,join(X1,complement(composition(X1,top)))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_225]) ).
tcf(c_26453,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,join(X2,complement(composition(X2,top)))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_385]) ).
tcf(c_26454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(composition(X3,top))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_388]) ).
tcf(c_26455,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25285,c_390]) ).
tcf(c_26456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,composition(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25285,c_393]) ).
tcf(c_26457,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(composition(X0,top))),X1),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25285,c_25205]) ).
tcf(c_26458,plain,
! [X0: $i] : composition(join(X0,join(zero,top)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26430,c_1431]) ).
tcf(c_26459,plain,
! [X0: $i] : composition(join(X0,join(top,zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26458,c_50,c_49]) ).
tcf(c_26460,plain,
! [X0: $i] : composition(join(X0,join(one,zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26426,c_107]) ).
tcf(c_26465,plain,
! [X0: $i] : composition(join(X0,join(complement(iPr_def_10),complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26434,c_50,c_49]) ).
tcf(c_26467,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(composition(X0,top)),X1)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26457,c_50,c_49]) ).
tcf(c_26468,plain,
composition(join(complement(iPr_def_12),iPr_def_11),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26404,c_192,c_15143]) ).
tcf(c_26472,plain,
composition(join(iPr_def_10,top),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26405,c_13839]) ).
tcf(c_26473,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_12,complement(join(iPr_def_12,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26435,c_50,c_49]) ).
tcf(c_26474,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_12,join(X1,complement(join(iPr_def_12,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26433,c_50,c_49]) ).
tcf(c_26475,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,complement(join(top,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26429,c_50,c_49]) ).
tcf(c_26476,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,join(X1,complement(join(top,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26428,c_50,c_49]) ).
tcf(c_26477,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26422,c_50,c_49]) ).
tcf(c_26478,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_12,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26421,c_50,c_49]) ).
tcf(c_26479,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,complement(join(iPr_def_10,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26420,c_50,c_49]) ).
tcf(c_26480,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_11,join(X1,complement(join(iPr_def_12,composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26419,c_50,c_49]) ).
tcf(c_26481,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_26449,c_50,c_49]) ).
tcf(c_26482,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26447,c_50,c_49]) ).
tcf(c_26484,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(complement(composition(X1,top)),X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26445,c_50,c_49]) ).
tcf(c_26485,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_26455,c_50,c_49]) ).
tcf(c_26486,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,complement(composition(X1,top)))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_26444,c_19078]) ).
tcf(c_26487,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(composition(X2,iPr_def_10),complement(join(composition(X1,top),composition(X2,iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26439,c_50,c_49]) ).
tcf(c_26488,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(composition(X2,iPr_def_10),complement(join(composition(X2,iPr_def_10),composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26438,c_50,c_49]) ).
tcf(c_26489,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,iPr_def_10),join(X2,complement(join(composition(X1,iPr_def_10),composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26437,c_50,c_49]) ).
tcf(c_26490,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(X2,complement(join(iPr_def_10,composition(join(X1,X2),top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26425,c_50,c_49]) ).
tcf(c_26491,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(composition(X1,top),complement(composition(join(iPr_def_10,X1),composition(top,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26424,c_50,c_49]) ).
tcf(c_26492,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(composition(X1,top),complement(composition(join(iPr_def_10,X1),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26491,c_11762]) ).
tcf(c_26493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(composition(X3,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26454,c_50,c_49]) ).
tcf(c_26494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(composition(X3,top))))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_26493,c_22936]) ).
tcf(c_26495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(complement(composition(X1,top)),composition(X2,X3)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26442,c_50,c_49]) ).
tcf(c_26498,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(composition(top,converse(join(X0,X1))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25287]) ).
tcf(c_26499,plain,
! [X0: $i] : composition(converse(join(X0,complement(composition(top,converse(converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_56,c_25287]) ).
tcf(c_26500,plain,
composition(converse(complement(composition(top,converse(zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25287]) ).
tcf(c_26502,plain,
composition(join(iPr_def_10,converse(complement(converse(iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16909,c_25287]) ).
tcf(c_26503,plain,
composition(join(iPr_def_11,converse(complement(converse(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16908,c_25287]) ).
tcf(c_26504,plain,
composition(join(iPr_def_12,converse(complement(converse(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16918,c_25287]) ).
tcf(c_26505,plain,
composition(join(complement(iPr_def_12),converse(complement(converse(iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16923,c_25287]) ).
tcf(c_26506,plain,
! [X0: $i] : composition(join(composition(X0,iPr_def_10),converse(complement(converse(composition(X0,iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_17604,c_25287]) ).
tcf(c_26507,plain,
! [X0: $i] : composition(join(composition(X0,iPr_def_12),converse(complement(converse(composition(X0,iPr_def_12))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_17788,c_25287]) ).
tcf(c_26508,plain,
! [X0: $i] : composition(join(converse(X0),converse(complement(composition(top,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_55,c_25287]) ).
tcf(c_26509,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(X0),X1),converse(complement(composition(top,join(converse(X1),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_985,c_25287]) ).
tcf(c_26510,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(X0),X1),converse(complement(composition(top,join(X0,converse(X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_221,c_25287]) ).
tcf(c_26511,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(X1)),converse(complement(composition(top,join(X1,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_765,c_25287]) ).
tcf(c_26512,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(X1)),converse(complement(composition(top,join(converse(X0),X1))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_222,c_25287]) ).
tcf(c_26513,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,converse(X1)),converse(complement(composition(top,composition(X1,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_225,c_25287]) ).
tcf(c_26514,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(X0),X1),converse(complement(composition(top,composition(converse(X1),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_226,c_25287]) ).
tcf(c_26515,plain,
composition(join(top,converse(complement(composition(top,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2343,c_25287]) ).
tcf(c_26516,plain,
composition(join(zero,converse(complement(composition(top,zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1950,c_25287]) ).
tcf(c_26517,plain,
composition(join(one,converse(complement(composition(top,one)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1689,c_25287]) ).
tcf(c_26518,plain,
! [X0: $i] : composition(join(join(one,X0),converse(complement(composition(top,join(one,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1723,c_25287]) ).
tcf(c_26519,plain,
! [X0: $i] : composition(join(join(X0,one),converse(complement(composition(top,join(one,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1729,c_25287]) ).
tcf(c_26520,plain,
! [X0: $i] : composition(join(composition(top,X0),converse(complement(composition(top,composition(converse(X0),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2357,c_25287]) ).
tcf(c_26521,plain,
! [X0: $i] : composition(join(composition(X0,top),converse(complement(composition(top,composition(top,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2354,c_25287]) ).
tcf(c_26522,plain,
! [X0: $i] : composition(join(join(iPr_def_10,composition(X0,top)),converse(complement(composition(top,composition(top,converse(join(iPr_def_10,X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16911,c_25287]) ).
tcf(c_26523,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(X0,iPr_def_10),composition(X1,top)),converse(complement(composition(top,composition(top,converse(join(composition(X0,iPr_def_10),X1))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23785,c_25287]) ).
tcf(c_26524,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,converse(complement(composition(top,converse(X1)))))),X2),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25287,c_388]) ).
tcf(c_26525,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,converse(complement(composition(top,converse(X1))))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25287,c_385]) ).
tcf(c_26526,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,converse(complement(composition(top,converse(X0))))),composition(X1,X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25287,c_393]) ).
tcf(c_26527,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,converse(complement(composition(top,converse(X1)))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,converse(complement(composition(top,converse(X1))))))),
inference(superposition,[status(thm)],[c_25287,c_390]) ).
tcf(c_26528,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,converse(complement(composition(top,converse(X0))))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25287,c_433]) ).
tcf(c_26529,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(complement(composition(top,converse(X0))))),X1),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25287,c_54]) ).
tcf(c_26530,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(top,converse(X0))))),composition(converse(iPr_def_10),X1)) = composition(converse(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_25287,c_52]) ).
tcf(c_26531,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(composition(top,converse(X1)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_54]) ).
tcf(c_26532,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,converse(complement(composition(top,converse(X0)))))),complement(converse(iPr_def_10))),X1)) = join(complement(converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_25287,c_362]) ).
tcf(c_26533,plain,
! [X0: $i] : composition(join(join(X0,converse(complement(composition(top,converse(X0))))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_1782]) ).
tcf(c_26534,plain,
! [X0: $i] : composition(join(one,join(X0,converse(complement(composition(top,converse(X0)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_1767]) ).
tcf(c_26535,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,converse(complement(composition(top,converse(X0)))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_76]) ).
tcf(c_26536,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(X0,converse(complement(composition(top,converse(X0))))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_225]) ).
tcf(c_26537,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,converse(complement(composition(top,converse(X1))))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_385]) ).
tcf(c_26538,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,converse(complement(composition(top,converse(X2)))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_388]) ).
tcf(c_26539,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,converse(complement(composition(top,converse(X1)))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25287,c_390]) ).
tcf(c_26540,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,converse(complement(composition(top,converse(X2))))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25287,c_393]) ).
tcf(c_26541,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,converse(composition(X0,top))))),X0),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25287,c_25205]) ).
tcf(c_26542,plain,
composition(join(iPr_def_11,top),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26503,c_9731]) ).
tcf(c_26543,plain,
composition(converse(complement(composition(top,zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26500,c_1950]) ).
tcf(c_26546,plain,
! [X0: $i] : composition(converse(join(X0,complement(composition(top,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26499,c_55]) ).
tcf(c_26547,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,converse(composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26541,c_50,c_49]) ).
tcf(c_26548,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,composition(top,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26547,c_2354]) ).
tcf(c_26551,plain,
! [X0: $i] : composition(join(X0,join(one,converse(complement(composition(top,join(one,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26519,c_50,c_49]) ).
tcf(c_26552,plain,
! [X0: $i] : composition(join(one,join(X0,converse(complement(composition(top,join(one,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26518,c_50,c_49]) ).
tcf(c_26553,plain,
! [X0: $i] : composition(join(X0,join(one,converse(complement(composition(top,converse(X0)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_26533,c_50,c_49]) ).
tcf(c_26554,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(X1),converse(complement(composition(top,join(converse(X0),X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26512,c_50,c_49]) ).
tcf(c_26555,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(X1),converse(complement(composition(top,join(X1,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26511,c_50,c_49]) ).
tcf(c_26556,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,converse(complement(composition(top,join(X0,converse(X1))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26510,c_50,c_49]) ).
tcf(c_26557,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,converse(complement(composition(top,join(converse(X1),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26509,c_50,c_49]) ).
tcf(c_26558,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(composition(top,converse(X1)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26531,c_50,c_49]) ).
tcf(c_26559,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(complement(composition(top,converse(X0)))),X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26529,c_50,c_49]) ).
tcf(c_26560,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,converse(complement(composition(top,converse(X1)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_26539,c_50,c_49]) ).
tcf(c_26561,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,converse(complement(composition(top,converse(X0))))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_26528,c_19078]) ).
tcf(c_26562,plain,
! [X0: $i] : composition(join(iPr_def_10,join(composition(X0,top),converse(complement(composition(top,composition(top,converse(join(iPr_def_10,X0)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26522,c_50,c_49]) ).
tcf(c_26563,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,converse(complement(composition(top,converse(X2)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26538,c_50,c_49]) ).
tcf(c_26564,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,converse(complement(composition(top,converse(X2)))))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_26563,c_22936]) ).
tcf(c_26565,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(complement(composition(top,converse(X0)))),composition(X1,X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26526,c_50,c_49]) ).
tcf(c_26566,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_10),join(composition(X1,top),converse(complement(composition(top,composition(top,converse(join(composition(X0,iPr_def_10),X1)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26523,c_50,c_49]) ).
tcf(c_26602,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(join(X0,X1),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25289]) ).
tcf(c_26606,plain,
! [X0: $i] : composition(join(complement(X0),complement(composition(complement(X0),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_362,c_25289]) ).
tcf(c_26609,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(composition(complement(join(X0,iPr_def_11)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_369,c_25289]) ).
tcf(c_26619,plain,
composition(join(complement(iPr_def_12),complement(composition(iPr_def_10,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_25289]) ).
tcf(c_26620,plain,
composition(join(iPr_def_10,complement(composition(iPr_def_10,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_25289]) ).
tcf(c_26630,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25289]) ).
tcf(c_26635,plain,
composition(join(iPr_def_12,complement(composition(iPr_def_12,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15920,c_25289]) ).
tcf(c_26636,plain,
composition(join(iPr_def_11,complement(composition(iPr_def_11,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15924,c_25289]) ).
tcf(c_26637,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,complement(composition(X0,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_52,c_25289]) ).
tcf(c_26638,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_116,c_25289]) ).
tcf(c_26639,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_25289]) ).
tcf(c_26640,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_11,X0),join(X1,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_391,c_25289]) ).
tcf(c_26641,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,X0),join(X1,complement(join(iPr_def_10,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_392,c_25289]) ).
tcf(c_26642,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,iPr_def_11),join(X1,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_402,c_25289]) ).
tcf(c_26643,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,iPr_def_10),join(X1,complement(join(iPr_def_10,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_401,c_25289]) ).
tcf(c_26644,plain,
! [X0: $i] : composition(join(top,join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11762,c_25289]) ).
tcf(c_26645,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,composition(X0,top)),join(X1,complement(composition(join(iPr_def_10,X0),composition(top,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_445,c_25289]) ).
tcf(c_26646,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(iPr_def_10,X1)),join(X2,complement(join(iPr_def_10,composition(join(X0,X1),top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9109,c_25289]) ).
tcf(c_26647,plain,
! [X0: $i] : composition(join(one,join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1708,c_25289]) ).
tcf(c_26648,plain,
! [X0: $i] : composition(join(iPr_def_12,join(X0,complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11779,c_25289]) ).
tcf(c_26649,plain,
! [X0: $i,X1: $i] : composition(join(join(one,X0),join(X1,complement(join(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_25289]) ).
tcf(c_26650,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,one),join(X1,complement(join(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_25289]) ).
tcf(c_26651,plain,
! [X0: $i] : composition(join(zero,join(X0,complement(zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8217,c_25289]) ).
tcf(c_26652,plain,
! [X0: $i] : composition(join(converse(iPr_def_12),join(X0,complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18563,c_25289]) ).
tcf(c_26653,plain,
! [X0: $i] : composition(join(converse(iPr_def_10),join(X0,complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_19820,c_25289]) ).
tcf(c_26654,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_12,X0),join(X1,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11839,c_25289]) ).
tcf(c_26655,plain,
! [X0: $i] : composition(join(complement(iPr_def_12),join(X0,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_25289]) ).
tcf(c_26656,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,iPr_def_12),join(X1,complement(join(iPr_def_12,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11846,c_25289]) ).
tcf(c_26657,plain,
! [X0: $i] : composition(join(converse(iPr_def_11),join(X0,complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18545,c_25289]) ).
tcf(c_26658,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(composition(X0,iPr_def_10),X1),join(X2,complement(join(composition(X0,iPr_def_10),composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_22679,c_25289]) ).
tcf(c_26659,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,composition(X1,iPr_def_10)),join(X2,complement(join(composition(X1,iPr_def_10),composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23730,c_25289]) ).
tcf(c_26660,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,composition(X1,iPr_def_10)),join(X2,complement(join(composition(X0,top),composition(X1,iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25650,c_25289]) ).
tcf(c_26661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,join(X1,join(X2,complement(composition(X1,top))))),X3),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X3,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25289,c_388]) ).
tcf(c_26662,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,join(X2,complement(composition(X1,top)))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25289,c_385]) ).
tcf(c_26663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,complement(composition(X0,top)))),composition(X2,X3)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25289,c_393]) ).
tcf(c_26664,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,complement(composition(X1,top))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,join(X2,complement(composition(X1,top)))))),
inference(superposition,[status(thm)],[c_25289,c_390]) ).
tcf(c_26665,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,complement(composition(X0,top)))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25289,c_433]) ).
tcf(c_26666,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(composition(X0,top)))),X2),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25289,c_54]) ).
tcf(c_26667,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,complement(composition(X0,top)))),composition(converse(iPr_def_10),X2)) = composition(converse(iPr_def_10),X2),
inference(superposition,[status(thm)],[c_25289,c_52]) ).
tcf(c_26668,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X1,top))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_54]) ).
tcf(c_26669,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,join(X1,complement(composition(X0,top))))),complement(converse(iPr_def_10))),X2)) = join(complement(converse(iPr_def_10)),X2),
inference(superposition,[status(thm)],[c_25289,c_362]) ).
tcf(c_26670,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,complement(composition(X0,top)))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_1782]) ).
tcf(c_26671,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,complement(composition(X0,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_1767]) ).
tcf(c_26672,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,join(X1,complement(composition(X0,top))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_76]) ).
tcf(c_26673,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,converse(join(X0,join(X1,complement(composition(X0,top)))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_225]) ).
tcf(c_26674,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,join(X2,complement(composition(X1,top)))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_385]) ).
tcf(c_26675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(composition(X2,top))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_388]) ).
tcf(c_26676,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25289,c_390]) ).
tcf(c_26677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,composition(X1,join(X2,join(X3,complement(composition(X2,top)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25289,c_393]) ).
tcf(c_26678,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(composition(composition(X1,top),top))),X1),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25289,c_25205]) ).
tcf(c_26688,plain,
! [X0: $i] : composition(join(complement(iPr_def_10),join(X0,complement(iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26655,c_50,c_49]) ).
tcf(c_26693,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(composition(X1,top),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26678,c_50,c_49]) ).
tcf(c_26695,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_12,join(X1,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26656,c_50,c_49]) ).
tcf(c_26696,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_12,join(X0,join(X1,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26654,c_50,c_49]) ).
tcf(c_26697,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,join(X1,complement(join(top,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26650,c_50,c_49]) ).
tcf(c_26698,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,complement(join(top,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26649,c_50,c_49]) ).
tcf(c_26699,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,complement(join(iPr_def_10,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26643,c_50,c_49]) ).
tcf(c_26700,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_11,join(X1,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26642,c_50,c_49]) ).
tcf(c_26701,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(X1,complement(join(iPr_def_10,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26641,c_50,c_49]) ).
tcf(c_26702,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_11,join(X0,join(X1,complement(join(iPr_def_12,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26640,c_50,c_49]) ).
tcf(c_26703,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,complement(composition(X0,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_26670,c_50,c_49]) ).
tcf(c_26704,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26668,c_50,c_49]) ).
tcf(c_26705,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(complement(composition(X0,top)),X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26666,c_50,c_49]) ).
tcf(c_26706,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,complement(composition(X1,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_26676,c_50,c_49]) ).
tcf(c_26707,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,complement(composition(X0,top)))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_26665,c_19078]) ).
tcf(c_26708,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,iPr_def_10),join(X2,complement(join(composition(X0,top),composition(X1,iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26660,c_50,c_49]) ).
tcf(c_26709,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,iPr_def_10),join(X2,complement(join(composition(X1,iPr_def_10),composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26659,c_50,c_49]) ).
tcf(c_26710,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,iPr_def_10),join(X1,join(X2,complement(join(composition(X0,iPr_def_10),composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26658,c_50,c_49]) ).
tcf(c_26711,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(iPr_def_10,join(X1,join(X2,complement(join(iPr_def_10,composition(join(X0,X1),top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26646,c_50,c_49]) ).
tcf(c_26712,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(composition(X0,top),join(X1,complement(composition(join(iPr_def_10,X0),composition(top,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26645,c_50,c_49]) ).
tcf(c_26713,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(composition(X0,top),join(X1,complement(join(iPr_def_10,composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_26712,c_392,c_11762]) ).
tcf(c_26714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(composition(X2,top))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26675,c_50,c_49]) ).
tcf(c_26715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(composition(X2,top))))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_26714,c_22936]) ).
tcf(c_26716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(complement(composition(X0,top)),composition(X2,X3)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26663,c_50,c_49]) ).
tcf(c_26722,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(iPr_def_10,X0),composition(top,converse(X1))),converse(composition(X1,X2))) = composition(join(join(iPr_def_10,composition(X0,top)),converse(X2)),converse(X1)),
inference(superposition,[status(thm)],[c_445,c_395]) ).
tcf(c_26725,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,one),converse(X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_17551,c_395]) ).
tcf(c_26736,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,one)),converse(X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_17745,c_395]) ).
tcf(c_26738,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),converse(composition(iPr_def_10,X2))) = composition(join(join(composition(X1,top),X0),converse(X2)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25205,c_395]) ).
tcf(c_26739,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(composition(X0,top))),converse(X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_25280,c_395]) ).
tcf(c_26740,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(top,complement(composition(X0,top)))),converse(X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_25283,c_395]) ).
tcf(c_26741,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(composition(X1,top)))),converse(X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_25285,c_395]) ).
tcf(c_26742,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(complement(composition(top,converse(X0))))),converse(X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_25287,c_395]) ).
tcf(c_26743,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(composition(X0,top)))),converse(X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_25289,c_395]) ).
tcf(c_26744,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),converse(composition(converse(X1),X2))) = composition(join(X0,converse(X2)),X1),
inference(superposition,[status(thm)],[c_55,c_395]) ).
tcf(c_26745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(converse(X1),X2)),converse(composition(join(converse(X2),X1),X3))) = composition(join(X0,converse(X3)),join(converse(X1),X2)),
inference(superposition,[status(thm)],[c_985,c_395]) ).
tcf(c_26746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(X1,converse(X2))),converse(composition(join(converse(X1),X2),X3))) = composition(join(X0,converse(X3)),join(X1,converse(X2))),
inference(superposition,[status(thm)],[c_221,c_395]) ).
tcf(c_26747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(X1,converse(X2))),converse(composition(join(X2,converse(X1)),X3))) = composition(join(X0,converse(X3)),join(X1,converse(X2))),
inference(superposition,[status(thm)],[c_765,c_395]) ).
tcf(c_26748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,join(converse(X1),X2)),converse(composition(join(X1,converse(X2)),X3))) = composition(join(X0,converse(X3)),join(converse(X1),X2)),
inference(superposition,[status(thm)],[c_222,c_395]) ).
tcf(c_26749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,converse(X2))),converse(composition(composition(X2,converse(X1)),X3))) = composition(join(X0,converse(X3)),composition(X1,converse(X2))),
inference(superposition,[status(thm)],[c_225,c_395]) ).
tcf(c_26750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(converse(X1),X2)),converse(composition(composition(converse(X2),X1),X3))) = composition(join(X0,converse(X3)),composition(converse(X1),X2)),
inference(superposition,[status(thm)],[c_226,c_395]) ).
tcf(c_26751,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(composition(top,X1))) = composition(join(X0,converse(X1)),top),
inference(superposition,[status(thm)],[c_2343,c_395]) ).
tcf(c_26752,plain,
! [X0: $i,X1: $i] : join(composition(X0,zero),converse(composition(zero,X1))) = composition(join(X0,converse(X1)),zero),
inference(superposition,[status(thm)],[c_1950,c_395]) ).
tcf(c_26753,plain,
! [X0: $i,X1: $i] : join(composition(X0,one),converse(composition(one,X1))) = composition(join(X0,converse(X1)),one),
inference(superposition,[status(thm)],[c_1689,c_395]) ).
tcf(c_26754,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(one,converse(X1))),converse(composition(join(one,X1),X2))) = composition(join(X0,converse(X2)),join(one,converse(X1))),
inference(superposition,[status(thm)],[c_1723,c_395]) ).
tcf(c_26755,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,join(one,converse(X1))),converse(composition(join(X1,one),X2))) = composition(join(X0,converse(X2)),join(one,converse(X1))),
inference(superposition,[status(thm)],[c_1729,c_395]) ).
tcf(c_26756,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(X1),top)),converse(composition(composition(top,X1),X2))) = composition(join(X0,converse(X2)),composition(converse(X1),top)),
inference(superposition,[status(thm)],[c_2357,c_395]) ).
tcf(c_26757,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,converse(X1))),converse(composition(composition(X1,top),X2))) = composition(join(X0,converse(X2)),composition(top,converse(X1))),
inference(superposition,[status(thm)],[c_2354,c_395]) ).
tcf(c_26758,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,converse(join(iPr_def_10,X1)))),converse(composition(join(iPr_def_10,composition(X1,top)),X2))) = composition(join(X0,converse(X2)),composition(top,converse(join(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_16911,c_395]) ).
tcf(c_26759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(top,converse(join(composition(X1,iPr_def_10),X2)))),converse(composition(join(composition(X1,iPr_def_10),composition(X2,top)),X3))) = composition(join(X0,converse(X3)),composition(top,converse(join(composition(X1,iPr_def_10),X2)))),
inference(superposition,[status(thm)],[c_23785,c_395]) ).
tcf(c_26760,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(X2,converse(X1))) = composition(join(X0,converse(converse(X2))),converse(X1)),
inference(superposition,[status(thm)],[c_225,c_395]) ).
tcf(c_26761,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(converse(X1))),composition(converse(X2),X1)) = composition(join(X0,converse(X2)),converse(converse(X1))),
inference(superposition,[status(thm)],[c_226,c_395]) ).
tcf(c_26762,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(top)),composition(converse(X1),top)) = composition(join(X0,converse(X1)),converse(top)),
inference(superposition,[status(thm)],[c_2357,c_395]) ).
tcf(c_26763,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),composition(top,converse(X1))) = composition(join(X0,converse(top)),converse(X1)),
inference(superposition,[status(thm)],[c_2354,c_395]) ).
tcf(c_26764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(composition(X1,X2))),converse(composition(X1,composition(X2,X3)))) = composition(join(X0,converse(X3)),converse(composition(X1,X2))),
inference(superposition,[status(thm)],[c_52,c_395]) ).
tcf(c_26765,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(X1)) = composition(join(X0,converse(one)),converse(X1)),
inference(superposition,[status(thm)],[c_53,c_395]) ).
tcf(c_26766,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(converse(X1))),converse(converse(composition(X2,X1)))) = composition(join(X0,converse(converse(X2))),converse(converse(X1))),
inference(superposition,[status(thm)],[c_57,c_395]) ).
tcf(c_26767,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_11)),converse(iPr_def_12)) = composition(join(X0,converse(top)),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_116,c_395]) ).
tcf(c_26768,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)) = composition(join(X0,converse(top)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_193,c_395]) ).
tcf(c_26769,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,top)))),converse(converse(X1))) = join(composition(X0,converse(converse(X1))),converse(zero)),
inference(superposition,[status(thm)],[c_9545,c_395]) ).
tcf(c_26770,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),converse(converse(iPr_def_11))) = join(composition(X0,converse(converse(iPr_def_11))),converse(zero)),
inference(superposition,[status(thm)],[c_1359,c_395]) ).
tcf(c_26771,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_10))),converse(zero)) = composition(join(X0,converse(iPr_def_11)),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_1360,c_395]) ).
tcf(c_26772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(converse(X1))),converse(composition(converse(composition(X2,X1)),X3))) = composition(join(X0,converse(composition(converse(X2),X3))),converse(converse(X1))),
inference(superposition,[status(thm)],[c_381,c_395]) ).
tcf(c_26773,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_11)),converse(composition(iPr_def_12,X1))) = composition(join(X0,converse(composition(top,X1))),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_382,c_395]) ).
tcf(c_26774,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),converse(composition(iPr_def_10,X1))) = composition(join(X0,converse(composition(top,X1))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_383,c_395]) ).
tcf(c_26775,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(iPr_def_11,X1))),converse(join(iPr_def_12,composition(X1,top)))) = composition(join(X0,converse(top)),converse(join(iPr_def_11,X1))),
inference(superposition,[status(thm)],[c_391,c_395]) ).
tcf(c_26776,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(iPr_def_10,X1))),converse(join(iPr_def_10,composition(X1,top)))) = composition(join(X0,converse(top)),converse(join(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_392,c_395]) ).
tcf(c_26777,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,iPr_def_11))),converse(join(iPr_def_12,composition(X1,top)))) = composition(join(X0,converse(top)),converse(join(X1,iPr_def_11))),
inference(superposition,[status(thm)],[c_402,c_395]) ).
tcf(c_26778,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,iPr_def_10))),converse(join(iPr_def_10,composition(X1,top)))) = composition(join(X0,converse(top)),converse(join(X1,iPr_def_10))),
inference(superposition,[status(thm)],[c_401,c_395]) ).
tcf(c_26779,plain,
! [X0: $i] : join(composition(X0,converse(top)),converse(top)) = composition(join(X0,converse(top)),converse(top)),
inference(superposition,[status(thm)],[c_11762,c_395]) ).
tcf(c_26780,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(iPr_def_10,composition(X1,top)))),converse(composition(join(iPr_def_10,X1),composition(top,X2)))) = composition(join(X0,converse(X2)),converse(join(iPr_def_10,composition(X1,top)))),
inference(superposition,[status(thm)],[c_445,c_395]) ).
tcf(c_26781,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,join(iPr_def_10,X2)))),converse(join(iPr_def_10,composition(join(X1,X2),top)))) = composition(join(X0,converse(top)),converse(join(X1,join(iPr_def_10,X2)))),
inference(superposition,[status(thm)],[c_9109,c_395]) ).
tcf(c_26782,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(join(iPr_def_10,composition(X1,top))))),converse(converse(join(iPr_def_10,X1)))) = join(composition(X0,converse(converse(join(iPr_def_10,X1)))),converse(zero)),
inference(superposition,[status(thm)],[c_9562,c_395]) ).
tcf(c_26783,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(one)),converse(X1)) = composition(join(X0,converse(X1)),converse(one)),
inference(superposition,[status(thm)],[c_1708,c_395]) ).
tcf(c_26784,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_12)),converse(iPr_def_12)) = composition(join(X0,converse(top)),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11779,c_395]) ).
tcf(c_26785,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(converse(iPr_def_10),X1))),converse(composition(X1,iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),converse(join(converse(iPr_def_10),X1))),
inference(superposition,[status(thm)],[c_16856,c_395]) ).
tcf(c_26786,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),converse(zero)) = composition(join(X0,converse(zero)),converse(X1)),
inference(superposition,[status(thm)],[c_8201,c_395]) ).
tcf(c_26787,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(one,X1))),converse(join(X2,composition(X1,X2)))) = composition(join(X0,converse(X2)),converse(join(one,X1))),
inference(superposition,[status(thm)],[c_1767,c_395]) ).
tcf(c_26788,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,one))),converse(join(X2,composition(X1,X2)))) = composition(join(X0,converse(X2)),converse(join(X1,one))),
inference(superposition,[status(thm)],[c_1782,c_395]) ).
tcf(c_26789,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(zero)) = join(composition(X0,converse(zero)),converse(zero)),
inference(superposition,[status(thm)],[c_8217,c_395]) ).
tcf(c_26790,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),converse(converse(iPr_def_10))) = join(composition(X0,converse(converse(iPr_def_10))),converse(zero)),
inference(superposition,[status(thm)],[c_8222,c_395]) ).
tcf(c_26791,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,converse(iPr_def_10)))),converse(composition(X1,iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),converse(join(X1,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_16858,c_395]) ).
tcf(c_26792,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_11))),converse(zero)) = composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_3196,c_395]) ).
tcf(c_26793,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(complement(iPr_def_12),X1))),converse(converse(iPr_def_11))) = join(composition(X0,converse(converse(iPr_def_11))),converse(zero)),
inference(superposition,[status(thm)],[c_12534,c_395]) ).
tcf(c_26794,plain,
! [X0: $i] : join(composition(X0,converse(converse(complement(iPr_def_12)))),converse(zero)) = composition(join(X0,converse(iPr_def_11)),converse(converse(complement(iPr_def_12)))),
inference(superposition,[status(thm)],[c_2775,c_395]) ).
tcf(c_26795,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(converse(iPr_def_11),X1))),converse(composition(X1,iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(join(converse(iPr_def_11),X1))),
inference(superposition,[status(thm)],[c_18471,c_395]) ).
tcf(c_26796,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(iPr_def_11))) = join(composition(X0,converse(converse(iPr_def_11))),converse(zero)),
inference(superposition,[status(thm)],[c_8221,c_395]) ).
tcf(c_26797,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,converse(iPr_def_11)))),converse(composition(X1,iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(join(X1,converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_18473,c_395]) ).
tcf(c_26798,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),converse(converse(complement(iPr_def_12)))) = join(composition(X0,converse(converse(complement(iPr_def_12)))),converse(zero)),
inference(superposition,[status(thm)],[c_12795,c_395]) ).
tcf(c_26799,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_10))),converse(zero)) = composition(join(X0,converse(iPr_def_12)),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_7055,c_395]) ).
tcf(c_26800,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),converse(converse(iPr_def_10))) = join(composition(X0,converse(converse(iPr_def_10))),converse(zero)),
inference(superposition,[status(thm)],[c_8911,c_395]) ).
tcf(c_26801,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(composition(iPr_def_11,X1)))),converse(zero)) = composition(join(X0,converse(iPr_def_10)),converse(converse(composition(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_13261,c_395]) ).
tcf(c_26802,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(converse(iPr_def_10),X1))),converse(composition(X1,iPr_def_12))) = composition(join(X0,converse(iPr_def_12)),converse(join(converse(iPr_def_10),X1))),
inference(superposition,[status(thm)],[c_20452,c_395]) ).
tcf(c_26803,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,converse(iPr_def_10)))),converse(composition(X1,iPr_def_12))) = composition(join(X0,converse(iPr_def_12)),converse(join(X1,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_20454,c_395]) ).
tcf(c_26804,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_12))),converse(zero)) = composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_7459,c_395]) ).
tcf(c_26805,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(composition(iPr_def_10,X1)))),converse(zero)) = composition(join(X0,converse(iPr_def_11)),converse(converse(composition(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_12931,c_395]) ).
tcf(c_26806,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(converse(iPr_def_12),X1))),converse(composition(X1,iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(join(converse(iPr_def_12),X1))),
inference(superposition,[status(thm)],[c_20661,c_395]) ).
tcf(c_26807,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(iPr_def_12))) = join(composition(X0,converse(converse(iPr_def_12))),converse(zero)),
inference(superposition,[status(thm)],[c_8927,c_395]) ).
tcf(c_26808,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,converse(iPr_def_12)))),converse(composition(X1,iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(join(X1,converse(iPr_def_12)))),
inference(superposition,[status(thm)],[c_20664,c_395]) ).
tcf(c_26809,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(composition(iPr_def_12,X1)))),converse(zero)) = composition(join(X0,converse(iPr_def_10)),converse(converse(composition(iPr_def_12,X1)))),
inference(superposition,[status(thm)],[c_8919,c_395]) ).
tcf(c_26810,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(composition(iPr_def_10,X1)))),converse(zero)) = composition(join(X0,converse(iPr_def_12)),converse(converse(composition(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_8938,c_395]) ).
tcf(c_26811,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(converse(X1),top)))),converse(X1)) = join(composition(X0,converse(X1)),converse(zero)),
inference(superposition,[status(thm)],[c_9546,c_395]) ).
tcf(c_26812,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_12))),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(top)),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_18563,c_395]) ).
tcf(c_26813,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_10))),converse(composition(top,iPr_def_10))) = composition(join(X0,converse(top)),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_19820,c_395]) ).
tcf(c_26814,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(iPr_def_12,X1))),converse(join(iPr_def_12,composition(X1,top)))) = composition(join(X0,converse(top)),converse(join(iPr_def_12,X1))),
inference(superposition,[status(thm)],[c_11839,c_395]) ).
tcf(c_26815,plain,
! [X0: $i] : join(composition(X0,converse(complement(iPr_def_12))),converse(iPr_def_10)) = composition(join(X0,converse(top)),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_15143,c_395]) ).
tcf(c_26816,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,iPr_def_12))),converse(join(iPr_def_12,composition(X1,top)))) = composition(join(X0,converse(top)),converse(join(X1,iPr_def_12))),
inference(superposition,[status(thm)],[c_11846,c_395]) ).
tcf(c_26817,plain,
! [X0: $i] : join(composition(X0,converse(top)),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(iPr_def_12)),converse(top)),
inference(superposition,[status(thm)],[c_19797,c_395]) ).
tcf(c_26818,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_12)),converse(composition(iPr_def_12,X1))) = composition(join(X0,converse(composition(top,X1))),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_11840,c_395]) ).
tcf(c_26819,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),converse(converse(iPr_def_12))) = join(composition(X0,converse(converse(iPr_def_12))),converse(zero)),
inference(superposition,[status(thm)],[c_11843,c_395]) ).
tcf(c_26820,plain,
! [X0: $i] : join(composition(X0,converse(converse(complement(iPr_def_12)))),converse(zero)) = composition(join(X0,converse(iPr_def_12)),converse(converse(complement(iPr_def_12)))),
inference(superposition,[status(thm)],[c_12194,c_395]) ).
tcf(c_26821,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_11))),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(top)),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_18545,c_395]) ).
tcf(c_26822,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(composition(iPr_def_12,X2)))) = join(composition(X0,converse(converse(composition(iPr_def_12,X2)))),converse(zero)),
inference(superposition,[status(thm)],[c_25971,c_395]) ).
tcf(c_26823,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(complement(iPr_def_12))),converse(composition(iPr_def_10,X1))) = composition(join(X0,converse(composition(top,X1))),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_15252,c_395]) ).
tcf(c_26824,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(join(iPr_def_10,X1)))),converse(composition(converse(X1),iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),converse(converse(join(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_16861,c_395]) ).
tcf(c_26825,plain,
! [X0: $i] : join(composition(X0,converse(complement(converse(iPr_def_10)))),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),converse(complement(converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_16862,c_395]) ).
tcf(c_26826,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,one))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,one))),
inference(superposition,[status(thm)],[c_17551,c_395]) ).
tcf(c_26827,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(one,X1))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(one,X1))),
inference(superposition,[status(thm)],[c_17550,c_395]) ).
tcf(c_26828,plain,
! [X0: $i] : join(composition(X0,converse(top)),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(top)),
inference(superposition,[status(thm)],[c_16909,c_395]) ).
tcf(c_26829,plain,
! [X0: $i] : join(composition(X0,converse(top)),converse(converse(iPr_def_12))) = composition(join(X0,converse(converse(iPr_def_11))),converse(top)),
inference(superposition,[status(thm)],[c_16908,c_395]) ).
tcf(c_26830,plain,
! [X0: $i] : join(composition(X0,converse(top)),converse(converse(iPr_def_12))) = composition(join(X0,converse(converse(iPr_def_12))),converse(top)),
inference(superposition,[status(thm)],[c_16918,c_395]) ).
tcf(c_26831,plain,
! [X0: $i] : composition(join(X0,converse(converse(complement(iPr_def_12)))),converse(top)) = join(composition(X0,converse(top)),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_16923,c_395]) ).
tcf(c_26832,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(top)),converse(composition(converse(iPr_def_12),X1))) = composition(join(X0,converse(composition(converse(iPr_def_11),X1))),converse(top)),
inference(superposition,[status(thm)],[c_16989,c_395]) ).
tcf(c_26833,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),converse(composition(iPr_def_10,converse(iPr_def_11)))) = composition(join(X0,converse(converse(iPr_def_12))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17002,c_395]) ).
tcf(c_26834,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_10))),converse(composition(top,iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_19078,c_395]) ).
tcf(c_26835,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(top)),converse(composition(converse(iPr_def_10),X1))) = composition(join(X0,converse(composition(converse(iPr_def_10),X1))),converse(top)),
inference(superposition,[status(thm)],[c_17014,c_395]) ).
tcf(c_26836,plain,
! [X0: $i] : join(composition(X0,converse(complement(iPr_def_12))),converse(composition(iPr_def_10,converse(iPr_def_10)))) = composition(join(X0,converse(converse(iPr_def_10))),converse(complement(iPr_def_12))),
inference(superposition,[status(thm)],[c_17023,c_395]) ).
tcf(c_26837,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_12)),converse(composition(iPr_def_11,converse(iPr_def_10)))) = composition(join(X0,converse(converse(iPr_def_10))),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_17025,c_395]) ).
tcf(c_26838,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),converse(composition(iPr_def_10,composition(converse(iPr_def_11),X1)))) = composition(join(X0,converse(composition(converse(iPr_def_12),X1))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17451,c_395]) ).
tcf(c_26839,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(join(X1,iPr_def_10)))),converse(composition(converse(X1),iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),converse(converse(join(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_17287,c_395]) ).
tcf(c_26840,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_11))),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_17362,c_395]) ).
tcf(c_26841,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_12))),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_17360,c_395]) ).
tcf(c_26842,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(top)),converse(composition(converse(iPr_def_12),X1))) = composition(join(X0,converse(composition(converse(iPr_def_12),X1))),converse(top)),
inference(superposition,[status(thm)],[c_17470,c_395]) ).
tcf(c_26843,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),converse(composition(iPr_def_10,converse(iPr_def_10)))) = composition(join(X0,converse(converse(complement(iPr_def_12)))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_17508,c_395]) ).
tcf(c_26844,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(top)),converse(converse(composition(X1,iPr_def_10)))) = composition(join(X0,converse(converse(composition(X1,iPr_def_10)))),converse(top)),
inference(superposition,[status(thm)],[c_17604,c_395]) ).
tcf(c_26845,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,join(X2,one)))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,one)))),
inference(superposition,[status(thm)],[c_17745,c_395]) ).
tcf(c_26846,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(top)),converse(converse(composition(X1,iPr_def_12)))) = composition(join(X0,converse(converse(composition(X1,iPr_def_12)))),converse(top)),
inference(superposition,[status(thm)],[c_17788,c_395]) ).
tcf(c_26847,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_11)))),converse(iPr_def_12)) = join(composition(X0,converse(iPr_def_12)),converse(zero)),
inference(superposition,[status(thm)],[c_19198,c_395]) ).
tcf(c_26848,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_11))),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(iPr_def_12)),converse(converse(iPr_def_11))),
inference(superposition,[status(thm)],[c_20581,c_395]) ).
tcf(c_26849,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_11)))),converse(iPr_def_11)) = join(composition(X0,converse(iPr_def_11)),converse(zero)),
inference(superposition,[status(thm)],[c_18560,c_395]) ).
tcf(c_26850,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))),converse(top)) = join(composition(X0,converse(top)),converse(zero)),
inference(superposition,[status(thm)],[c_18222,c_395]) ).
tcf(c_26851,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(zero)),
inference(superposition,[status(thm)],[c_18823,c_395]) ).
tcf(c_26852,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(join(iPr_def_11,X1)))),converse(composition(converse(X1),iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(converse(join(iPr_def_11,X1)))),
inference(superposition,[status(thm)],[c_18476,c_395]) ).
tcf(c_26853,plain,
! [X0: $i] : join(composition(X0,converse(complement(converse(iPr_def_11)))),converse(composition(top,iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(complement(converse(iPr_def_11)))),
inference(superposition,[status(thm)],[c_18477,c_395]) ).
tcf(c_26854,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(join(X1,iPr_def_11)))),converse(composition(converse(X1),iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(converse(join(X1,iPr_def_11)))),
inference(superposition,[status(thm)],[c_18951,c_395]) ).
tcf(c_26855,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(zero)),
inference(superposition,[status(thm)],[c_19836,c_395]) ).
tcf(c_26856,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(top)),converse(composition(top,composition(iPr_def_11,X1)))) = composition(join(X0,converse(composition(iPr_def_12,X1))),converse(top)),
inference(superposition,[status(thm)],[c_20386,c_395]) ).
tcf(c_26857,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_10)),converse(composition(iPr_def_10,iPr_def_11))) = composition(join(X0,converse(iPr_def_12)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_19869,c_395]) ).
tcf(c_26858,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),converse(composition(iPr_def_10,composition(iPr_def_11,X1)))) = composition(join(X0,converse(composition(iPr_def_12,X1))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_20422,c_395]) ).
tcf(c_26859,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(join(iPr_def_10,X1)))),converse(composition(converse(X1),iPr_def_12))) = composition(join(X0,converse(iPr_def_12)),converse(converse(join(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_20457,c_395]) ).
tcf(c_26860,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(converse(join(X1,iPr_def_10)))),converse(composition(converse(X1),iPr_def_12))) = composition(join(X0,converse(iPr_def_12)),converse(converse(join(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_20498,c_395]) ).
tcf(c_26861,plain,
! [X0: $i] : join(composition(X0,converse(converse(iPr_def_12))),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(iPr_def_12)),converse(converse(iPr_def_12))),
inference(superposition,[status(thm)],[c_20579,c_395]) ).
tcf(c_26862,plain,
! [X0: $i] : join(composition(X0,converse(complement(converse(iPr_def_12)))),converse(composition(top,iPr_def_10))) = composition(join(X0,converse(iPr_def_10)),converse(complement(converse(iPr_def_12)))),
inference(superposition,[status(thm)],[c_20668,c_395]) ).
tcf(c_26863,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,iPr_def_10)))),converse(converse(composition(X1,iPr_def_10)))) = join(composition(X0,converse(converse(composition(X1,iPr_def_10)))),converse(zero)),
inference(superposition,[status(thm)],[c_22506,c_395]) ).
tcf(c_26864,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(composition(X1,iPr_def_10),X2))),converse(join(composition(X1,iPr_def_10),composition(X2,top)))) = composition(join(X0,converse(top)),converse(join(composition(X1,iPr_def_10),X2))),
inference(superposition,[status(thm)],[c_22679,c_395]) ).
tcf(c_26865,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(composition(X1,top),X2))),converse(composition(join(X2,X1),converse(iPr_def_10)))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(composition(X1,top),X2))),
inference(superposition,[status(thm)],[c_25205,c_395]) ).
tcf(c_26866,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,composition(X2,iPr_def_10)))),converse(join(composition(X2,iPr_def_10),composition(X1,top)))) = composition(join(X0,converse(top)),converse(join(X1,composition(X2,iPr_def_10)))),
inference(superposition,[status(thm)],[c_23730,c_395]) ).
tcf(c_26867,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,composition(X2,iPr_def_10)))),converse(join(composition(X1,top),composition(X2,iPr_def_10)))) = composition(join(X0,converse(top)),converse(join(X1,composition(X2,iPr_def_10)))),
inference(superposition,[status(thm)],[c_25650,c_395]) ).
tcf(c_26868,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(complement(join(composition(X1,iPr_def_10),composition(X2,top))))),converse(converse(join(composition(X1,iPr_def_10),X2)))) = join(composition(X0,converse(converse(join(composition(X1,iPr_def_10),X2)))),converse(zero)),
inference(superposition,[status(thm)],[c_23788,c_395]) ).
tcf(c_26869,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,complement(composition(X1,top))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,complement(composition(X1,top))))),
inference(superposition,[status(thm)],[c_25280,c_395]) ).
tcf(c_26870,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,composition(top,complement(composition(X1,top)))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,composition(top,complement(composition(X1,top)))))),
inference(superposition,[status(thm)],[c_25283,c_395]) ).
tcf(c_26871,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,join(X2,complement(composition(X2,top)))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,complement(composition(X2,top)))))),
inference(superposition,[status(thm)],[c_25285,c_395]) ).
tcf(c_26872,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,converse(complement(composition(top,converse(X1))))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,converse(complement(composition(top,converse(X1))))))),
inference(superposition,[status(thm)],[c_25287,c_395]) ).
tcf(c_26873,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,join(X2,complement(composition(X1,top)))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,complement(composition(X1,top)))))),
inference(superposition,[status(thm)],[c_25289,c_395]) ).
tcf(c_26874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),join(converse(composition(X1,X2)),join(X3,complement(composition(join(X0,converse(X2)),converse(X1)))))) = top,
inference(superposition,[status(thm)],[c_395,c_12854]) ).
tcf(c_26875,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),join(converse(composition(X1,X2)),converse(complement(converse(composition(join(X0,converse(X2)),converse(X1))))))) = top,
inference(superposition,[status(thm)],[c_395,c_9717]) ).
tcf(c_26876,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(composition(X0,converse(X1)),join(converse(composition(X1,X2)),iPr_def_11))),complement(join(iPr_def_11,complement(composition(join(X0,converse(X2)),converse(X1)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_395,c_376]) ).
tcf(c_26877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),join(converse(composition(X1,X2)),join(complement(composition(join(X0,converse(X2)),converse(X1))),X3))) = top,
inference(superposition,[status(thm)],[c_395,c_7392]) ).
tcf(c_26878,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(join(X0,converse(X2)),converse(X1))) = composition(join(X0,converse(X2)),converse(X1)),
inference(superposition,[status(thm)],[c_395,c_7878]) ).
tcf(c_26879,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),join(converse(composition(X1,X2)),complement(composition(join(X0,converse(X2)),converse(X1))))) = top,
inference(superposition,[status(thm)],[c_395,c_375]) ).
tcf(c_26880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),join(converse(composition(X1,X2)),X3)) = join(composition(join(X0,converse(X2)),converse(X1)),X3),
inference(superposition,[status(thm)],[c_395,c_50]) ).
tcf(c_26881,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = composition(join(X2,converse(X1)),converse(X0)),
inference(superposition,[status(thm)],[c_395,c_49]) ).
tcf(c_26883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),join(X2,converse(composition(X1,X3)))) = join(X2,composition(join(X0,converse(X3)),converse(X1))),
inference(superposition,[status(thm)],[c_395,c_191]) ).
tcf(c_26885,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(composition(join(X0,converse(X1)),converse(X2)),complement(composition(join(converse(composition(X0,converse(X2))),composition(X2,X1)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_395,c_776]) ).
tcf(c_26886,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),converse(composition(X2,converse(X0)))) = converse(composition(join(X2,converse(X1)),converse(X0))),
inference(superposition,[status(thm)],[c_395,c_765]) ).
tcf(c_26887,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,converse(X1))),composition(X1,X2)) = converse(composition(join(X0,converse(X2)),converse(X1))),
inference(superposition,[status(thm)],[c_395,c_222]) ).
tcf(c_26888,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(zero)) = join(converse(zero),composition(X0,converse(zero))),
inference(theory_normalisation,[status(thm)],[c_26789,c_50,c_49]) ).
tcf(c_26889,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),zero) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_26888,c_1950,c_8201]) ).
tcf(c_26890,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(X1))) = composition(join(X0,converse(zero)),converse(X1)),
inference(theory_normalisation,[status(thm)],[c_26786,c_50,c_49]) ).
tcf(c_26892,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_12))) = composition(join(X0,converse(top)),converse(iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_26784,c_50,c_49]) ).
tcf(c_26894,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),one) = join(X0,converse(X1)),
inference(light_normalisation,[status(thm)],[c_26783,c_53,c_1689]) ).
tcf(c_26895,plain,
! [X0: $i] : join(converse(top),composition(X0,converse(top))) = composition(join(X0,converse(top)),converse(top)),
inference(theory_normalisation,[status(thm)],[c_26779,c_50,c_49]) ).
tcf(c_26897,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))) = composition(join(X0,converse(top)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_26768,c_50,c_49]) ).
tcf(c_26899,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = composition(join(X0,converse(top)),converse(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_26767,c_50,c_49]) ).
tcf(c_26901,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(X0))) = composition(join(X1,converse(one)),converse(X0)),
inference(theory_normalisation,[status(thm)],[c_26765,c_50,c_49]) ).
tcf(c_26902,plain,
! [X0: $i,X1: $i] : join(converse(X0),composition(X1,converse(X0))) = composition(join(X1,one),converse(X0)),
inference(light_normalisation,[status(thm)],[c_26901,c_1689]) ).
tcf(c_26903,plain,
! [X0: $i,X1: $i] : join(X0,converse(composition(one,X1))) = composition(join(X0,converse(X1)),one),
inference(light_normalisation,[status(thm)],[c_26753,c_53]) ).
tcf(c_26904,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),zero) = join(zero,converse(composition(zero,X1))),
inference(light_normalisation,[status(thm)],[c_26752,c_8201]) ).
tcf(c_26905,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,converse(top))) = composition(join(X0,converse(converse(iPr_def_12))),converse(top)),
inference(theory_normalisation,[status(thm)],[c_26830,c_50,c_49]) ).
tcf(c_26906,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,top)) = composition(join(X0,converse(converse(iPr_def_12))),top),
inference(light_normalisation,[status(thm)],[c_26905,c_2343]) ).
tcf(c_26907,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,converse(top))) = composition(join(X0,converse(converse(iPr_def_11))),converse(top)),
inference(theory_normalisation,[status(thm)],[c_26829,c_50,c_49]) ).
tcf(c_26908,plain,
! [X0: $i] : join(converse(converse(iPr_def_12)),composition(X0,top)) = composition(join(X0,converse(converse(iPr_def_11))),top),
inference(light_normalisation,[status(thm)],[c_26907,c_2343]) ).
tcf(c_26909,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(top))) = composition(join(X0,converse(converse(iPr_def_10))),converse(top)),
inference(theory_normalisation,[status(thm)],[c_26828,c_50,c_49]) ).
tcf(c_26910,plain,
! [X0: $i] : join(converse(converse(iPr_def_10)),composition(X0,top)) = composition(join(X0,converse(converse(iPr_def_10))),top),
inference(light_normalisation,[status(thm)],[c_26909,c_2343]) ).
tcf(c_26911,plain,
! [X0: $i] : join(composition(X0,top),converse(composition(top,iPr_def_11))) = composition(join(X0,converse(iPr_def_11)),top),
inference(light_normalisation,[status(thm)],[c_26817,c_2343,c_19207]) ).
tcf(c_26912,plain,
! [X0: $i] : join(converse(iPr_def_10),composition(X0,converse(complement(iPr_def_12)))) = composition(join(X0,converse(top)),converse(complement(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_26815,c_50,c_49]) ).
tcf(c_26914,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_12)))) = composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_26804,c_50,c_49]) ).
tcf(c_26915,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_12))) = join(zero,composition(X0,converse(converse(iPr_def_12)))),
inference(light_normalisation,[status(thm)],[c_26914,c_1950]) ).
tcf(c_26916,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_10)))) = composition(join(X0,converse(iPr_def_12)),converse(converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26799,c_50,c_49]) ).
tcf(c_26917,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),converse(converse(iPr_def_10))) = join(zero,composition(X0,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_26916,c_1950]) ).
tcf(c_26918,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_11)))) = composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_26792,c_50,c_49]) ).
tcf(c_26919,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_11))) = join(zero,composition(X0,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_26918,c_1950]) ).
tcf(c_26920,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(iPr_def_10)))) = composition(join(X0,converse(iPr_def_11)),converse(converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26771,c_50,c_49]) ).
tcf(c_26921,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),converse(converse(iPr_def_10))) = join(zero,composition(X0,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_26920,c_1950]) ).
tcf(c_26922,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(X1)),composition(top,converse(X1))) = composition(top,converse(X1)),
inference(light_normalisation,[status(thm)],[c_26763,c_2343,c_7015]) ).
tcf(c_26923,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),composition(converse(X1),top)) = composition(join(X0,converse(X1)),top),
inference(light_normalisation,[status(thm)],[c_26762,c_2343]) ).
tcf(c_26925,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,converse(X1))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_26725,c_50,c_49]) ).
tcf(c_26926,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(X1)),composition(X0,X2)) = converse(composition(join(X1,converse(X2)),converse(X0))),
inference(light_normalisation,[status(thm)],[c_26887,c_225]) ).
tcf(c_26927,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = join(converse(zero),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26855,c_50,c_49]) ).
tcf(c_26928,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = join(zero,composition(X0,converse(iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_26927,c_1950]) ).
tcf(c_26929,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_11)))),converse(iPr_def_11)) = join(converse(zero),composition(X0,converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_26849,c_50,c_49]) ).
tcf(c_26930,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_11)))),converse(iPr_def_11)) = join(zero,composition(X0,converse(iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_26929,c_1950]) ).
tcf(c_26931,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_11)))),converse(iPr_def_12)) = join(converse(zero),composition(X0,converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_26847,c_50,c_49]) ).
tcf(c_26932,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,iPr_def_11)))),converse(iPr_def_12)) = join(zero,composition(X0,converse(iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_26931,c_1950]) ).
tcf(c_26933,plain,
! [X0: $i] : composition(join(X0,converse(converse(complement(iPr_def_12)))),converse(top)) = join(converse(converse(iPr_def_10)),composition(X0,converse(top))),
inference(theory_normalisation,[status(thm)],[c_26831,c_50,c_49]) ).
tcf(c_26934,plain,
! [X0: $i] : composition(join(X0,converse(converse(complement(iPr_def_12)))),top) = join(converse(converse(iPr_def_10)),composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_26933,c_2343]) ).
tcf(c_26935,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),converse(converse(iPr_def_12))) = join(converse(zero),composition(X0,converse(converse(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_26819,c_50,c_49]) ).
tcf(c_26936,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),converse(converse(iPr_def_12))) = join(zero,composition(X0,converse(converse(iPr_def_12)))),
inference(light_normalisation,[status(thm)],[c_26935,c_1950]) ).
tcf(c_26937,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),converse(converse(iPr_def_11))) = join(converse(zero),composition(X0,converse(converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_26770,c_50,c_49]) ).
tcf(c_26938,plain,
! [X0: $i] : composition(join(X0,converse(complement(iPr_def_12))),converse(converse(iPr_def_11))) = join(zero,composition(X0,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_26937,c_1950]) ).
tcf(c_26939,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_12)))) = composition(join(X0,converse(iPr_def_12)),converse(converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_26861,c_50,c_49]) ).
tcf(c_26940,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_11)))) = composition(join(X0,converse(iPr_def_12)),converse(converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_26848,c_50,c_49]) ).
tcf(c_26941,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_12)))) = composition(join(X0,converse(iPr_def_11)),converse(converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_26841,c_50,c_49]) ).
tcf(c_26942,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_11)))) = composition(join(X0,converse(iPr_def_11)),converse(converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_26840,c_50,c_49]) ).
tcf(c_26943,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(converse(iPr_def_10)))) = composition(join(X0,converse(iPr_def_10)),converse(converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26834,c_50,c_49]) ).
tcf(c_26944,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_11)))) = composition(join(X0,converse(top)),converse(converse(iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_26821,c_50,c_49]) ).
tcf(c_26946,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(complement(iPr_def_12))))) = composition(join(X0,converse(iPr_def_12)),converse(converse(complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_26820,c_50,c_49]) ).
tcf(c_26947,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_12)),converse(converse(complement(iPr_def_12)))) = join(zero,composition(X0,converse(converse(complement(iPr_def_12))))),
inference(light_normalisation,[status(thm)],[c_26946,c_1950]) ).
tcf(c_26948,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(converse(iPr_def_10)))) = composition(join(X0,converse(top)),converse(converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26813,c_50,c_49]) ).
tcf(c_26950,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(converse(iPr_def_12)))) = composition(join(X0,converse(top)),converse(converse(iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_26812,c_50,c_49]) ).
tcf(c_26952,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(converse(X1),top)))),converse(X1)) = join(converse(zero),composition(X0,converse(X1))),
inference(theory_normalisation,[status(thm)],[c_26811,c_50,c_49]) ).
tcf(c_26953,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(converse(X1),top)))),converse(X1)) = join(zero,composition(X0,converse(X1))),
inference(light_normalisation,[status(thm)],[c_26952,c_1950]) ).
tcf(c_26954,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(iPr_def_12))) = join(converse(zero),composition(X0,converse(converse(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_26807,c_50,c_49]) ).
tcf(c_26955,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(iPr_def_12))) = join(zero,composition(X0,converse(converse(iPr_def_12)))),
inference(light_normalisation,[status(thm)],[c_26954,c_1950]) ).
tcf(c_26956,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),converse(converse(iPr_def_10))) = join(converse(zero),composition(X0,converse(converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26800,c_50,c_49]) ).
tcf(c_26957,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_12,X1))),converse(converse(iPr_def_10))) = join(zero,composition(X0,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_26956,c_1950]) ).
tcf(c_26958,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(iPr_def_11))) = join(converse(zero),composition(X0,converse(converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_26796,c_50,c_49]) ).
tcf(c_26959,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(iPr_def_11))) = join(zero,composition(X0,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_26958,c_1950]) ).
tcf(c_26960,plain,
! [X0: $i] : join(converse(zero),composition(X0,converse(converse(complement(iPr_def_12))))) = composition(join(X0,converse(iPr_def_11)),converse(converse(complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_26794,c_50,c_49]) ).
tcf(c_26961,plain,
! [X0: $i] : composition(join(X0,converse(iPr_def_11)),converse(converse(complement(iPr_def_12)))) = join(zero,composition(X0,converse(converse(complement(iPr_def_12))))),
inference(light_normalisation,[status(thm)],[c_26960,c_1950]) ).
tcf(c_26962,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),converse(converse(iPr_def_10))) = join(converse(zero),composition(X0,converse(converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26790,c_50,c_49]) ).
tcf(c_26963,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),converse(converse(iPr_def_10))) = join(zero,composition(X0,converse(converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_26962,c_1950]) ).
tcf(c_26964,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(one,converse(X2)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(theory_normalisation,[status(thm)],[c_26736,c_50,c_49]) ).
tcf(c_26965,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(complement(iPr_def_12),X1))),converse(converse(iPr_def_11))) = join(converse(zero),composition(X0,converse(converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_26793,c_50,c_49]) ).
tcf(c_26966,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(complement(iPr_def_12),X1))),converse(converse(iPr_def_11))) = join(zero,composition(X0,converse(converse(iPr_def_11)))),
inference(light_normalisation,[status(thm)],[c_26965,c_1950]) ).
tcf(c_26967,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,top)))),converse(converse(X1))) = join(converse(zero),composition(X0,converse(converse(X1)))),
inference(theory_normalisation,[status(thm)],[c_26769,c_50,c_49]) ).
tcf(c_26968,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,top)))),converse(converse(X1))) = join(zero,composition(X0,converse(converse(X1)))),
inference(light_normalisation,[status(thm)],[c_26967,c_1950]) ).
tcf(c_26969,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(composition(X0,top)),converse(X1))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_26739,c_50,c_49]) ).
tcf(c_26970,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(complement(converse(iPr_def_12))))) = composition(join(X0,converse(iPr_def_10)),converse(complement(converse(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_26862,c_50,c_49]) ).
tcf(c_26971,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(composition(top,composition(iPr_def_11,X1)))) = composition(join(X0,converse(composition(iPr_def_12,X1))),top),
inference(light_normalisation,[status(thm)],[c_26856,c_2343]) ).
tcf(c_26972,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_10)),composition(X0,converse(complement(converse(iPr_def_11))))) = composition(join(X0,converse(iPr_def_10)),converse(complement(converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_26853,c_50,c_49]) ).
tcf(c_26973,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(converse(composition(X1,iPr_def_12)))) = composition(join(X0,converse(converse(composition(X1,iPr_def_12)))),top),
inference(light_normalisation,[status(thm)],[c_26846,c_2343]) ).
tcf(c_26974,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(converse(composition(X1,iPr_def_10)))) = composition(join(X0,converse(converse(composition(X1,iPr_def_10)))),top),
inference(light_normalisation,[status(thm)],[c_26844,c_2343]) ).
tcf(c_26975,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(composition(converse(iPr_def_12),X1))) = composition(join(X0,converse(composition(converse(iPr_def_12),X1))),top),
inference(light_normalisation,[status(thm)],[c_26842,c_2343]) ).
tcf(c_26976,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(composition(converse(iPr_def_10),X1))) = composition(join(X0,converse(composition(converse(iPr_def_10),X1))),top),
inference(light_normalisation,[status(thm)],[c_26835,c_2343]) ).
tcf(c_26977,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),converse(composition(converse(iPr_def_12),X1))) = composition(join(X0,converse(composition(converse(iPr_def_11),X1))),top),
inference(light_normalisation,[status(thm)],[c_26832,c_2343]) ).
tcf(c_26978,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(one,X1)))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(one,X1))),
inference(theory_normalisation,[status(thm)],[c_26827,c_50,c_49]) ).
tcf(c_26979,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,one)))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,one))),
inference(theory_normalisation,[status(thm)],[c_26826,c_50,c_49]) ).
tcf(c_26980,plain,
! [X0: $i] : join(converse(composition(top,iPr_def_11)),composition(X0,converse(complement(converse(iPr_def_10))))) = composition(join(X0,converse(iPr_def_11)),converse(complement(converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26825,c_50,c_49]) ).
tcf(c_26981,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_10,X1))))) = composition(join(X0,converse(iPr_def_12)),converse(converse(composition(iPr_def_10,X1)))),
inference(theory_normalisation,[status(thm)],[c_26810,c_50,c_49]) ).
tcf(c_26982,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_12)),converse(converse(composition(iPr_def_10,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_10,X1))))),
inference(light_normalisation,[status(thm)],[c_26981,c_1950]) ).
tcf(c_26983,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_12,X1))))) = composition(join(X0,converse(iPr_def_10)),converse(converse(composition(iPr_def_12,X1)))),
inference(theory_normalisation,[status(thm)],[c_26809,c_50,c_49]) ).
tcf(c_26984,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),converse(converse(composition(iPr_def_12,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_12,X1))))),
inference(light_normalisation,[status(thm)],[c_26983,c_1950]) ).
tcf(c_26985,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_10,X1))))) = composition(join(X0,converse(iPr_def_11)),converse(converse(composition(iPr_def_10,X1)))),
inference(theory_normalisation,[status(thm)],[c_26805,c_50,c_49]) ).
tcf(c_26986,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_11)),converse(converse(composition(iPr_def_10,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_10,X1))))),
inference(light_normalisation,[status(thm)],[c_26985,c_1950]) ).
tcf(c_26987,plain,
! [X0: $i,X1: $i] : join(converse(zero),composition(X0,converse(converse(composition(iPr_def_11,X1))))) = composition(join(X0,converse(iPr_def_10)),converse(converse(composition(iPr_def_11,X1)))),
inference(theory_normalisation,[status(thm)],[c_26801,c_50,c_49]) ).
tcf(c_26988,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(iPr_def_10)),converse(converse(composition(iPr_def_11,X1)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_11,X1))))),
inference(light_normalisation,[status(thm)],[c_26987,c_1950]) ).
tcf(c_26989,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),converse(converse(complement(iPr_def_12)))) = join(converse(zero),composition(X0,converse(converse(complement(iPr_def_12))))),
inference(theory_normalisation,[status(thm)],[c_26798,c_50,c_49]) ).
tcf(c_26990,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(iPr_def_11,X1))),converse(converse(complement(iPr_def_12)))) = join(zero,composition(X0,converse(converse(complement(iPr_def_12))))),
inference(light_normalisation,[status(thm)],[c_26989,c_1950]) ).
tcf(c_26991,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(complement(composition(X0,top)),converse(X2)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(theory_normalisation,[status(thm)],[c_26743,c_50,c_49]) ).
tcf(c_26992,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(complement(composition(top,converse(X0)))),converse(X1))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_26742,c_50,c_49]) ).
tcf(c_26993,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(complement(composition(X1,top)),converse(X2)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(theory_normalisation,[status(thm)],[c_26741,c_50,c_49]) ).
tcf(c_26994,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(top,complement(composition(X0,top))),converse(X1))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_26740,c_50,c_49]) ).
tcf(c_26995,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(composition(iPr_def_12,X2)))) = join(converse(zero),composition(X0,converse(converse(composition(iPr_def_12,X2))))),
inference(theory_normalisation,[status(thm)],[c_26822,c_50,c_49]) ).
tcf(c_26996,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(composition(iPr_def_10,X1))),converse(converse(composition(iPr_def_12,X2)))) = join(zero,composition(X0,converse(converse(composition(iPr_def_12,X2))))),
inference(light_normalisation,[status(thm)],[c_26995,c_1950]) ).
tcf(c_26997,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,iPr_def_12))),converse(join(iPr_def_12,composition(X1,top)))) = composition(top,converse(join(X1,iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_26816,c_2343,c_7015]) ).
tcf(c_26998,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(iPr_def_12,X1))),converse(join(iPr_def_12,composition(X1,top)))) = composition(top,converse(join(iPr_def_12,X1))),
inference(light_normalisation,[status(thm)],[c_26814,c_2343,c_7015]) ).
tcf(c_26999,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(X0,converse(iPr_def_12))))) = composition(join(X1,converse(iPr_def_10)),converse(join(X0,converse(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_26808,c_50,c_49]) ).
tcf(c_27000,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(converse(iPr_def_12),X0)))) = composition(join(X1,converse(iPr_def_10)),converse(join(converse(iPr_def_12),X0))),
inference(theory_normalisation,[status(thm)],[c_26806,c_50,c_49]) ).
tcf(c_27001,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_12)),composition(X1,converse(join(X0,converse(iPr_def_10))))) = composition(join(X1,converse(iPr_def_12)),converse(join(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26803,c_50,c_49]) ).
tcf(c_27002,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_12)),composition(X1,converse(join(converse(iPr_def_10),X0)))) = composition(join(X1,converse(iPr_def_12)),converse(join(converse(iPr_def_10),X0))),
inference(theory_normalisation,[status(thm)],[c_26802,c_50,c_49]) ).
tcf(c_27003,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(X0,converse(iPr_def_11))))) = composition(join(X1,converse(iPr_def_10)),converse(join(X0,converse(iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_26797,c_50,c_49]) ).
tcf(c_27004,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_10)),composition(X1,converse(join(converse(iPr_def_11),X0)))) = composition(join(X1,converse(iPr_def_10)),converse(join(converse(iPr_def_11),X0))),
inference(theory_normalisation,[status(thm)],[c_26795,c_50,c_49]) ).
tcf(c_27005,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_11)),composition(X1,converse(join(X0,converse(iPr_def_10))))) = composition(join(X1,converse(iPr_def_11)),converse(join(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26791,c_50,c_49]) ).
tcf(c_27006,plain,
! [X0: $i,X1: $i] : join(converse(composition(X0,iPr_def_11)),composition(X1,converse(join(converse(iPr_def_10),X0)))) = composition(join(X1,converse(iPr_def_11)),converse(join(converse(iPr_def_10),X0))),
inference(theory_normalisation,[status(thm)],[c_26785,c_50,c_49]) ).
tcf(c_27007,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,iPr_def_10))),converse(join(iPr_def_10,composition(X1,top)))) = composition(top,converse(join(X1,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_26778,c_2343,c_7015]) ).
tcf(c_27008,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,iPr_def_11))),converse(join(iPr_def_12,composition(X1,top)))) = composition(top,converse(join(X1,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_26777,c_2343,c_7015]) ).
tcf(c_27009,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(iPr_def_10,X1))),converse(join(iPr_def_10,composition(X1,top)))) = composition(top,converse(join(iPr_def_10,X1))),
inference(light_normalisation,[status(thm)],[c_26776,c_2343,c_7015]) ).
tcf(c_27010,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(iPr_def_11,X1))),converse(join(iPr_def_12,composition(X1,top)))) = composition(top,converse(join(iPr_def_11,X1))),
inference(light_normalisation,[status(thm)],[c_26775,c_2343,c_7015]) ).
tcf(c_27011,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),converse(composition(iPr_def_10,X2))) = composition(join(composition(X1,top),join(X0,converse(X2))),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_26738,c_50,c_49]) ).
tcf(c_27012,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,iPr_def_10)))),converse(converse(composition(X1,iPr_def_10)))) = join(converse(zero),composition(X0,converse(converse(composition(X1,iPr_def_10))))),
inference(theory_normalisation,[status(thm)],[c_26863,c_50,c_49]) ).
tcf(c_27013,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,iPr_def_10)))),converse(converse(composition(X1,iPr_def_10)))) = join(zero,composition(X0,converse(converse(composition(X1,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_27012,c_1950]) ).
tcf(c_27014,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_12)),composition(X1,converse(converse(join(X0,iPr_def_10))))) = composition(join(X1,converse(iPr_def_12)),converse(converse(join(X0,iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26860,c_50,c_49]) ).
tcf(c_27015,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_12)),composition(X1,converse(converse(join(iPr_def_10,X0))))) = composition(join(X1,converse(iPr_def_12)),converse(converse(join(iPr_def_10,X0)))),
inference(theory_normalisation,[status(thm)],[c_26859,c_50,c_49]) ).
tcf(c_27016,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_10)),composition(X1,converse(converse(join(X0,iPr_def_11))))) = composition(join(X1,converse(iPr_def_10)),converse(converse(join(X0,iPr_def_11)))),
inference(theory_normalisation,[status(thm)],[c_26854,c_50,c_49]) ).
tcf(c_27017,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_10)),composition(X1,converse(converse(join(iPr_def_11,X0))))) = composition(join(X1,converse(iPr_def_10)),converse(converse(join(iPr_def_11,X0)))),
inference(theory_normalisation,[status(thm)],[c_26852,c_50,c_49]) ).
tcf(c_27018,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_11)),composition(X1,converse(converse(join(X0,iPr_def_10))))) = composition(join(X1,converse(iPr_def_11)),converse(converse(join(X0,iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_26839,c_50,c_49]) ).
tcf(c_27019,plain,
! [X0: $i,X1: $i] : join(converse(composition(converse(X0),iPr_def_11)),composition(X1,converse(converse(join(iPr_def_10,X0))))) = composition(join(X1,converse(iPr_def_11)),converse(converse(join(iPr_def_10,X0)))),
inference(theory_normalisation,[status(thm)],[c_26824,c_50,c_49]) ).
tcf(c_27020,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,one))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,one)))),
inference(theory_normalisation,[status(thm)],[c_26845,c_50,c_49]) ).
tcf(c_27021,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(iPr_def_10,X0),composition(top,converse(X1))),converse(composition(X1,X2))) = composition(join(iPr_def_10,join(composition(X0,top),converse(X2))),converse(X1)),
inference(theory_normalisation,[status(thm)],[c_26722,c_50,c_49]) ).
tcf(c_27022,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(composition(join(X0,converse(X1)),converse(X2))))),complement(join(iPr_def_11,join(composition(X0,converse(X2)),converse(composition(X2,X1)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_26876,c_50,c_49]) ).
tcf(c_27023,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(join(iPr_def_10,composition(X1,top))))),converse(converse(join(iPr_def_10,X1)))) = join(converse(zero),composition(X0,converse(converse(join(iPr_def_10,X1))))),
inference(theory_normalisation,[status(thm)],[c_26782,c_50,c_49]) ).
tcf(c_27024,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(join(iPr_def_10,composition(X1,top))))),converse(converse(join(iPr_def_10,X1)))) = join(zero,composition(X0,converse(converse(join(iPr_def_10,X1))))),
inference(light_normalisation,[status(thm)],[c_27023,c_1950]) ).
tcf(c_27025,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,complement(composition(X1,top)))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,complement(composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_26869,c_50,c_49]) ).
tcf(c_27026,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))),converse(iPr_def_10)) = join(converse(zero),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_26851,c_50,c_49]) ).
tcf(c_27027,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))),converse(iPr_def_10)) = join(zero,composition(X0,converse(iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_27026,c_1950]) ).
tcf(c_27028,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))),converse(top)) = join(converse(zero),composition(X0,converse(top))),
inference(theory_normalisation,[status(thm)],[c_26850,c_50,c_49]) ).
tcf(c_27029,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top)))))),top) = join(zero,composition(X0,top)),
inference(light_normalisation,[status(thm)],[c_27028,c_1950,c_2343]) ).
tcf(c_27030,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,composition(X2,iPr_def_10)))),converse(join(composition(X1,top),composition(X2,iPr_def_10)))) = composition(top,converse(join(X1,composition(X2,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_26867,c_2343,c_7015]) ).
tcf(c_27031,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,composition(X2,iPr_def_10)))),converse(join(composition(X2,iPr_def_10),composition(X1,top)))) = composition(top,converse(join(X1,composition(X2,iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_26866,c_2343,c_7015]) ).
tcf(c_27032,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(join(X0,X1),converse(iPr_def_10))),composition(X2,converse(join(composition(X1,top),X0)))) = composition(join(X2,converse(converse(iPr_def_10))),converse(join(composition(X1,top),X0))),
inference(theory_normalisation,[status(thm)],[c_26865,c_50,c_49]) ).
tcf(c_27033,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(composition(X1,iPr_def_10),X2))),converse(join(composition(X1,iPr_def_10),composition(X2,top)))) = composition(top,converse(join(composition(X1,iPr_def_10),X2))),
inference(light_normalisation,[status(thm)],[c_26864,c_2343,c_7015]) ).
tcf(c_27034,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,join(iPr_def_10,X2)))),converse(join(iPr_def_10,composition(join(X1,X2),top)))) = composition(top,converse(join(X1,join(iPr_def_10,X2)))),
inference(light_normalisation,[status(thm)],[c_26781,c_2343,c_7015]) ).
tcf(c_27035,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,complement(composition(X1,top))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,complement(composition(X1,top)))))),
inference(theory_normalisation,[status(thm)],[c_26873,c_50,c_49]) ).
tcf(c_27036,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,converse(complement(composition(top,converse(X1)))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,converse(complement(composition(top,converse(X1))))))),
inference(theory_normalisation,[status(thm)],[c_26872,c_50,c_49]) ).
tcf(c_27037,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,complement(composition(X2,top))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,complement(composition(X2,top)))))),
inference(theory_normalisation,[status(thm)],[c_26871,c_50,c_49]) ).
tcf(c_27038,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,composition(top,complement(composition(X1,top))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,composition(top,complement(composition(X1,top)))))),
inference(theory_normalisation,[status(thm)],[c_26870,c_50,c_49]) ).
tcf(c_27039,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(complement(join(composition(X1,iPr_def_10),composition(X2,top))))),converse(converse(join(composition(X1,iPr_def_10),X2)))) = join(converse(zero),composition(X0,converse(converse(join(composition(X1,iPr_def_10),X2))))),
inference(theory_normalisation,[status(thm)],[c_26868,c_50,c_49]) ).
tcf(c_27040,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,converse(complement(join(composition(X1,iPr_def_10),composition(X2,top))))),converse(converse(join(composition(X1,iPr_def_10),X2)))) = join(zero,composition(X0,converse(converse(join(composition(X1,iPr_def_10),X2))))),
inference(light_normalisation,[status(thm)],[c_27039,c_1950]) ).
tcf(c_27100,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_375,c_26135]) ).
tcf(c_27105,plain,
! [X0: $i] : join(join(X0,converse(complement(converse(join(iPr_def_12,X0))))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_9717,c_26135]) ).
tcf(c_27108,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_12)),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7426,c_26135]) ).
tcf(c_27109,plain,
! [X0: $i,X1: $i] : join(join(X0,join(complement(join(iPr_def_12,X0)),X1)),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_7392,c_26135]) ).
tcf(c_27112,plain,
! [X0: $i] : join(join(X0,converse(complement(converse(iPr_def_12)))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_21139,c_26135]) ).
tcf(c_27114,plain,
join(composition(complement(one),iPr_def_12),iPr_def_11) = join(iPr_def_11,composition(top,iPr_def_12)),
inference(superposition,[status(thm)],[c_11631,c_26135]) ).
tcf(c_27116,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(join(iPr_def_12,X0)))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_12854,c_26135]) ).
tcf(c_27117,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_12833,c_26135]) ).
tcf(c_27118,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_13081,c_26135]) ).
tcf(c_27120,plain,
! [X0: $i] : join(join(converse(complement(converse(iPr_def_11))),X0),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_18543,c_26135]) ).
tcf(c_27122,plain,
! [X0: $i] : join(join(composition(top,iPr_def_10),X0),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_24771,c_26135]) ).
tcf(c_27123,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),join(X1,complement(join(X0,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_26135,c_12854]) ).
tcf(c_27124,plain,
! [X0: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),converse(complement(converse(join(X0,iPr_def_11)))))) = top,
inference(superposition,[status(thm)],[c_26135,c_9717]) ).
tcf(c_27125,plain,
! [X0: $i] : join(complement(join(iPr_def_11,join(join(iPr_def_12,X0),iPr_def_11))),complement(join(iPr_def_11,complement(join(X0,iPr_def_11))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_26135,c_376]) ).
tcf(c_27126,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(join(iPr_def_12,X0),join(complement(join(X0,iPr_def_11)),X1))) = top,
inference(superposition,[status(thm)],[c_26135,c_7392]) ).
tcf(c_27128,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_26135,c_375]) ).
tcf(c_27129,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_26135,c_50]) ).
tcf(c_27130,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_26135,c_191]) ).
tcf(c_27134,plain,
! [X0: $i] : composition(converse(join(X0,iPr_def_11)),iPr_def_10) = composition(converse(join(iPr_def_12,X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_26135,c_18476]) ).
tcf(c_27139,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(iPr_def_12,X0),join(X0,iPr_def_11)))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_26135,c_11158]) ).
tcf(c_27141,plain,
! [X0: $i] : join(iPr_def_12,composition(join(iPr_def_12,X0),top)) = composition(join(X0,iPr_def_11),top),
inference(superposition,[status(thm)],[c_26135,c_391]) ).
tcf(c_27174,plain,
! [X0: $i] : join(join(X0,complement(join(iPr_def_11,iPr_def_12))),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_26135,c_12854]) ).
tcf(c_27176,plain,
! [X0: $i] : join(join(X0,complement(iPr_def_11)),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_26135,c_12833]) ).
tcf(c_27179,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(iPr_def_11))),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_26135,c_13081]) ).
tcf(c_27204,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_27176,c_50,c_49]) ).
tcf(c_27205,plain,
! [X0: $i] : join(X0,join(iPr_def_11,iPr_def_10)) = top,
inference(light_normalisation,[status(thm)],[c_27204,c_1671]) ).
tcf(c_27238,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,complement(iPr_def_11)))) = top,
inference(theory_normalisation,[status(thm)],[c_27179,c_50,c_49]) ).
tcf(c_27239,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,iPr_def_10))) = top,
inference(light_normalisation,[status(thm)],[c_27238,c_1671]) ).
tcf(c_27244,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(join(iPr_def_11,iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_27174,c_50,c_49]) ).
tcf(c_27257,plain,
! [X0: $i] : join(X0,join(iPr_def_11,complement(iPr_def_12))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27108,c_50,c_49]) ).
tcf(c_27277,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,iPr_def_10))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27122,c_50,c_49]) ).
tcf(c_27285,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_27128,c_50,c_49]) ).
tcf(c_27286,plain,
! [X0: $i] : join(iPr_def_11,join(X0,converse(complement(converse(iPr_def_11))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27120,c_50,c_49]) ).
tcf(c_27288,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_27117,c_50,c_49]) ).
tcf(c_27289,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,top)) = join(iPr_def_11,top),
inference(light_normalisation,[status(thm)],[c_27288,c_4192]) ).
tcf(c_27290,plain,
join(iPr_def_11,composition(complement(one),iPr_def_12)) = join(iPr_def_11,composition(top,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_27114,c_50,c_49]) ).
tcf(c_27291,plain,
join(iPr_def_11,composition(complement(one),iPr_def_12)) = join(iPr_def_11,composition(top,iPr_def_11)),
inference(light_normalisation,[status(thm)],[c_27290,c_19797]) ).
tcf(c_27292,plain,
! [X0: $i] : join(X0,join(iPr_def_11,converse(complement(converse(iPr_def_12))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27112,c_50,c_49]) ).
tcf(c_27293,plain,
! [X0: $i] : join(X0,join(iPr_def_11,top)) = join(iPr_def_11,top),
inference(light_normalisation,[status(thm)],[c_27292,c_9731]) ).
tcf(c_27295,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_27100,c_50,c_49]) ).
tcf(c_27300,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_27129,c_50,c_49]) ).
tcf(c_27305,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,join(complement(join(X0,iPr_def_11)),X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_27126,c_50,c_49]) ).
tcf(c_27306,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,converse(complement(converse(join(X0,iPr_def_11))))))) = top,
inference(theory_normalisation,[status(thm)],[c_27124,c_50,c_49]) ).
tcf(c_27307,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(iPr_def_12,join(X0,join(X1,complement(join(X0,iPr_def_11)))))) = top,
inference(theory_normalisation,[status(thm)],[c_27123,c_50,c_49]) ).
tcf(c_27308,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,join(iPr_def_11,complement(iPr_def_12))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27118,c_50,c_49]) ).
tcf(c_27310,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_12,X0))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27116,c_50,c_49]) ).
tcf(c_27313,plain,
! [X0: $i,X1: $i] : join(X0,join(iPr_def_11,join(X1,complement(join(iPr_def_12,X0))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27109,c_50,c_49]) ).
tcf(c_27314,plain,
! [X0: $i] : join(X0,join(iPr_def_11,converse(complement(converse(join(iPr_def_12,X0)))))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_27105,c_50,c_49]) ).
tcf(c_27315,plain,
! [X0: $i] : join(iPr_def_11,complement(join(iPr_def_11,join(X0,join(X0,iPr_def_12))))) = join(iPr_def_11,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_27139,c_50,c_49]) ).
tcf(c_27316,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(join(X0,iPr_def_11)))),complement(join(iPr_def_11,join(iPr_def_11,join(X0,iPr_def_12))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_27125,c_50,c_49]) ).
tcf(c_27335,plain,
! [X0: $i] : join(one,join(complement(X0),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_362,c_26236]) ).
tcf(c_27350,plain,
join(one,join(iPr_def_11,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_12338,c_26236]) ).
tcf(c_27351,plain,
join(one,join(complement(iPr_def_12),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_13165,c_26236]) ).
tcf(c_27352,plain,
join(one,join(iPr_def_10,converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_13301,c_26236]) ).
tcf(c_27362,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,join(X2,converse(complement(one)))))) = top,
inference(superposition,[status(thm)],[c_50,c_26236]) ).
tcf(c_27363,plain,
! [X0: $i,X1: $i] : join(one,join(X0,converse(join(X1,complement(one))))) = top,
inference(superposition,[status(thm)],[c_56,c_26236]) ).
tcf(c_27367,plain,
! [X0: $i] : join(one,join(X0,top)) = top,
inference(superposition,[status(thm)],[c_9159,c_26236]) ).
tcf(c_27369,plain,
! [X0: $i,X1: $i] : join(one,join(join(X0,join(X1,converse(complement(one)))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_26236,c_9717]) ).
tcf(c_27370,plain,
! [X0: $i,X1: $i] : join(complement(join(one,join(join(X0,join(X1,converse(complement(one)))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_26236,c_376]) ).
tcf(c_27371,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(X0,join(X1,converse(complement(one)))),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_26236,c_7392]) ).
tcf(c_27374,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_26236,c_50]) ).
tcf(c_27377,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_26236,c_191]) ).
tcf(c_27378,plain,
! [X0: $i,X1: $i] : join(X0,join(one,join(X1,converse(complement(one))))) = top,
inference(superposition,[status(thm)],[c_26236,c_191]) ).
tcf(c_27379,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,join(X0,converse(complement(one)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_26236,c_9109]) ).
tcf(c_27383,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,converse(complement(one)))))) = converse(top),
inference(superposition,[status(thm)],[c_26236,c_1723]) ).
tcf(c_27384,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,join(X2,converse(complement(one)))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_26236,c_1767]) ).
tcf(c_27391,plain,
! [X0: $i] : join(top,join(X0,one)) = top,
inference(theory_normalisation,[status(thm)],[c_27367,c_50,c_49]) ).
tcf(c_27393,plain,
join(iPr_def_10,join(one,converse(complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_27352,c_50,c_49]) ).
tcf(c_27395,plain,
join(iPr_def_11,join(one,converse(complement(one)))) = top,
inference(theory_normalisation,[status(thm)],[c_27350,c_50,c_49]) ).
tcf(c_27406,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,join(X1,converse(complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_27383,c_2343]) ).
tcf(c_27410,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_27374,c_50,c_49]) ).
tcf(c_27411,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,join(complement(top),join(X2,converse(complement(one))))))) = top,
inference(theory_normalisation,[status(thm)],[c_27371,c_50,c_49]) ).
tcf(c_27412,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,join(zero,join(X2,converse(complement(one))))))) = top,
inference(light_normalisation,[status(thm)],[c_27411,c_107]) ).
tcf(c_27413,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,join(converse(complement(one)),converse(complement(converse(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_27369,c_50,c_49]) ).
tcf(c_27414,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,join(converse(complement(one)),zero)))) = top,
inference(light_normalisation,[status(thm)],[c_27413,c_107,c_1950,c_2343]) ).
tcf(c_27415,plain,
! [X0: $i,X1: $i] : join(one,join(X0,join(X1,join(zero,converse(complement(one)))))) = top,
inference(theory_normalisation,[status(thm)],[c_27414,c_50,c_49]) ).
tcf(c_27418,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(X1,join(one,converse(complement(one)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_27370,c_50,c_49]) ).
tcf(c_27419,plain,
join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(iPr_def_11,top)))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_27418,c_107,c_9159,c_27289]) ).
tcf(c_27424,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(X0,complement(one))),X1)) = top,
inference(superposition,[status(thm)],[c_49,c_27363]) ).
tcf(c_27426,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,converse(join(X2,complement(one)))))) = top,
inference(superposition,[status(thm)],[c_50,c_27363]) ).
tcf(c_27434,plain,
! [X0: $i] : join(one,join(X0,join(one,converse(complement(one))))) = top,
inference(superposition,[status(thm)],[c_1723,c_27363]) ).
tcf(c_27437,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,converse(join(X1,join(X2,complement(one)))))) = top,
inference(superposition,[status(thm)],[c_50,c_27363]) ).
tcf(c_27440,plain,
! [X0: $i] : join(one,join(X0,converse(top))) = top,
inference(superposition,[status(thm)],[c_7096,c_27363]) ).
tcf(c_27444,plain,
! [X0: $i,X1: $i] : join(complement(join(one,join(join(X0,converse(join(X1,complement(one)))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_27363,c_376]) ).
tcf(c_27445,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(X0,converse(join(X1,complement(one)))),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_27363,c_7392]) ).
tcf(c_27448,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(X0,converse(join(X1,complement(one)))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_27363,c_50]) ).
tcf(c_27451,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(X1,converse(join(X2,complement(one)))))) = join(X0,top),
inference(superposition,[status(thm)],[c_27363,c_191]) ).
tcf(c_27452,plain,
! [X0: $i,X1: $i] : join(X0,join(one,converse(join(X1,complement(one))))) = top,
inference(superposition,[status(thm)],[c_27363,c_191]) ).
tcf(c_27453,plain,
! [X0: $i] : join(iPr_def_10,composition(join(one,converse(join(X0,complement(one)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_27363,c_9109]) ).
tcf(c_27457,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,converse(join(X1,complement(one)))))) = converse(top),
inference(superposition,[status(thm)],[c_27363,c_1723]) ).
tcf(c_27458,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(X1,converse(join(X2,complement(one)))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_27363,c_1767]) ).
tcf(c_27465,plain,
! [X0: $i,X1: $i] : join(one,converse(join(X0,converse(join(X1,complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_27457,c_2343]) ).
tcf(c_27469,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(converse(join(X1,complement(one))),X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_27448,c_50,c_49]) ).
tcf(c_27470,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(complement(top),join(X1,converse(join(X2,complement(one))))))) = top,
inference(theory_normalisation,[status(thm)],[c_27445,c_50,c_49]) ).
tcf(c_27471,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(zero,join(X1,converse(join(X2,complement(one))))))) = top,
inference(light_normalisation,[status(thm)],[c_27470,c_107]) ).
tcf(c_27475,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(one,converse(join(X1,complement(one)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_27444,c_50,c_49]) ).
tcf(c_27476,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(X0,join(one,converse(join(X1,complement(one)))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_27475,c_107]) ).
tcf(c_27483,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(converse(join(X1,complement(one))),X2))) = top,
inference(superposition,[status(thm)],[c_191,c_27424]) ).
tcf(c_27492,plain,
! [X0: $i,X1: $i] : join(one,composition(join(X0,one),converse(join(X1,complement(one))))) = top,
inference(superposition,[status(thm)],[c_1782,c_27424]) ).
tcf(c_27493,plain,
! [X0: $i,X1: $i] : join(one,composition(join(one,X0),converse(join(X1,complement(one))))) = top,
inference(superposition,[status(thm)],[c_1767,c_27424]) ).
tcf(c_27499,plain,
! [X0: $i] : join(one,composition(top,converse(join(X0,complement(one))))) = top,
inference(superposition,[status(thm)],[c_11631,c_27424]) ).
tcf(c_27504,plain,
! [X0: $i,X1: $i] : join(one,join(join(converse(complement(one)),X0),X1)) = top,
inference(superposition,[status(thm)],[c_985,c_27424]) ).
tcf(c_27506,plain,
! [X0: $i] : join(one,join(join(one,converse(complement(one))),X0)) = top,
inference(superposition,[status(thm)],[c_1723,c_27424]) ).
tcf(c_27507,plain,
! [X0: $i,X1: $i] : join(one,join(converse(join(complement(one),X0)),X1)) = top,
inference(superposition,[status(thm)],[c_49,c_27424]) ).
tcf(c_27509,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(join(X0,join(X1,complement(one)))),X2)) = top,
inference(superposition,[status(thm)],[c_50,c_27424]) ).
tcf(c_27512,plain,
! [X0: $i] : join(one,join(converse(top),X0)) = top,
inference(superposition,[status(thm)],[c_7096,c_27424]) ).
tcf(c_27515,plain,
! [X0: $i,X1: $i] : join(one,join(join(converse(join(X0,complement(one))),X1),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_27424,c_9717]) ).
tcf(c_27517,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(converse(join(X0,complement(one))),X1),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_27424,c_7392]) ).
tcf(c_27519,plain,
! [X0: $i,X1: $i] : join(one,join(join(converse(join(X0,complement(one))),X1),complement(top))) = top,
inference(superposition,[status(thm)],[c_27424,c_375]) ).
tcf(c_27520,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(converse(join(X0,complement(one))),X1),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_27424,c_50]) ).
tcf(c_27521,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(converse(join(X1,complement(one))),X2))) = join(X0,top),
inference(superposition,[status(thm)],[c_27424,c_191]) ).
tcf(c_27524,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(one,converse(join(X0,complement(one)))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_27424,c_376]) ).
tcf(c_27528,plain,
! [X0: $i,X1: $i] : join(one,converse(join(converse(join(X0,complement(one))),X1))) = converse(top),
inference(superposition,[status(thm)],[c_27424,c_1723]) ).
tcf(c_27529,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(converse(join(X1,complement(one))),X2),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_27424,c_1767]) ).
tcf(c_27547,plain,
! [X0: $i] : join(one,join(one,join(converse(complement(one)),X0))) = top,
inference(theory_normalisation,[status(thm)],[c_27506,c_50,c_49]) ).
tcf(c_27550,plain,
! [X0: $i,X1: $i] : join(one,join(converse(complement(one)),join(X0,X1))) = top,
inference(theory_normalisation,[status(thm)],[c_27504,c_50,c_49]) ).
tcf(c_27552,plain,
! [X0: $i,X1: $i] : join(one,converse(join(converse(join(X0,complement(one))),X1))) = top,
inference(light_normalisation,[status(thm)],[c_27528,c_2343]) ).
tcf(c_27553,plain,
! [X0: $i,X1: $i] : join(one,join(complement(top),join(X0,converse(join(X1,complement(one)))))) = top,
inference(theory_normalisation,[status(thm)],[c_27519,c_50,c_49]) ).
tcf(c_27554,plain,
! [X0: $i,X1: $i] : join(one,join(zero,join(X0,converse(join(X1,complement(one)))))) = top,
inference(light_normalisation,[status(thm)],[c_27553,c_107]) ).
tcf(c_27556,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(join(X0,complement(one))),join(X1,X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_27520,c_50,c_49]) ).
tcf(c_27558,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(complement(top),join(X0,join(X1,converse(join(X2,complement(one))))))) = top,
inference(theory_normalisation,[status(thm)],[c_27517,c_50,c_49]) ).
tcf(c_27559,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(zero,join(X0,join(X1,converse(join(X2,complement(one))))))) = top,
inference(light_normalisation,[status(thm)],[c_27558,c_107]) ).
tcf(c_27560,plain,
! [X0: $i,X1: $i] : join(one,join(converse(complement(converse(top))),join(X0,converse(join(X1,complement(one)))))) = top,
inference(theory_normalisation,[status(thm)],[c_27515,c_50,c_49]) ).
tcf(c_27571,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(X0,composition(X1,top)))),composition(X0,X1)) = zero,
inference(superposition,[status(thm)],[c_52,c_9580]) ).
tcf(c_27573,plain,
composition(converse(complement(iPr_def_10)),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_193,c_9580]) ).
tcf(c_27574,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_12,composition(X0,top)))),join(iPr_def_11,X0)) = zero,
inference(superposition,[status(thm)],[c_391,c_9580]) ).
tcf(c_27576,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_12,composition(X0,top)))),join(X0,iPr_def_11)) = zero,
inference(superposition,[status(thm)],[c_402,c_9580]) ).
tcf(c_27577,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_10,composition(X0,top)))),join(X0,iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_401,c_9580]) ).
tcf(c_27578,plain,
composition(converse(complement(top)),top) = zero,
inference(superposition,[status(thm)],[c_11762,c_9580]) ).
tcf(c_27579,plain,
! [X0: $i] : composition(converse(complement(composition(join(iPr_def_10,X0),composition(top,top)))),join(iPr_def_10,composition(X0,top))) = zero,
inference(superposition,[status(thm)],[c_445,c_9580]) ).
tcf(c_27580,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(iPr_def_10,composition(join(X0,X1),top)))),join(X0,join(iPr_def_10,X1))) = zero,
inference(superposition,[status(thm)],[c_9109,c_9580]) ).
tcf(c_27581,plain,
composition(converse(complement(top)),one) = zero,
inference(superposition,[status(thm)],[c_1708,c_9580]) ).
tcf(c_27583,plain,
! [X0: $i] : composition(converse(complement(join(top,composition(X0,top)))),join(one,X0)) = zero,
inference(superposition,[status(thm)],[c_1767,c_9580]) ).
tcf(c_27584,plain,
! [X0: $i] : composition(converse(complement(join(top,composition(X0,top)))),join(X0,one)) = zero,
inference(superposition,[status(thm)],[c_1782,c_9580]) ).
tcf(c_27585,plain,
composition(converse(complement(zero)),zero) = zero,
inference(superposition,[status(thm)],[c_8217,c_9580]) ).
tcf(c_27587,plain,
composition(converse(complement(composition(top,iPr_def_11))),converse(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_18563,c_9580]) ).
tcf(c_27588,plain,
composition(converse(complement(composition(top,iPr_def_10))),converse(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_19820,c_9580]) ).
tcf(c_27589,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_12,composition(X0,top)))),join(iPr_def_12,X0)) = zero,
inference(superposition,[status(thm)],[c_11839,c_9580]) ).
tcf(c_27590,plain,
composition(converse(complement(iPr_def_10)),complement(iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_15143,c_9580]) ).
tcf(c_27591,plain,
! [X0: $i] : composition(converse(complement(join(iPr_def_12,composition(X0,top)))),join(X0,iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_11846,c_9580]) ).
tcf(c_27592,plain,
composition(converse(complement(composition(top,iPr_def_11))),converse(iPr_def_11)) = zero,
inference(superposition,[status(thm)],[c_18545,c_9580]) ).
tcf(c_27594,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(composition(X0,iPr_def_10),composition(X1,top)))),join(X1,composition(X0,iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_23730,c_9580]) ).
tcf(c_27595,plain,
! [X0: $i,X1: $i] : composition(converse(complement(join(composition(X0,top),composition(X1,iPr_def_10)))),join(X0,composition(X1,iPr_def_10))) = zero,
inference(superposition,[status(thm)],[c_25650,c_9580]) ).
tcf(c_27596,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(converse(complement(composition(X1,top))))) = join(composition(X0,converse(converse(complement(composition(X1,top))))),converse(zero)),
inference(superposition,[status(thm)],[c_9580,c_395]) ).
tcf(c_27597,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(complement(composition(X1,top)))),X2),X1) = join(composition(X0,zero),composition(X2,X1)),
inference(superposition,[status(thm)],[c_9580,c_388]) ).
tcf(c_27598,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_9580,c_385]) ).
tcf(c_27599,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(converse(complement(composition(composition(X0,X1),top))),X0),X2),X1) = join(zero,composition(X2,X1)),
inference(superposition,[status(thm)],[c_9580,c_388]) ).
tcf(c_27600,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(complement(composition(X0,top))),composition(X1,X2)),X0) = join(zero,composition(X1,composition(X2,X0))),
inference(superposition,[status(thm)],[c_9580,c_393]) ).
tcf(c_27601,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),converse(converse(complement(composition(X0,top))))) = join(converse(zero),composition(X1,converse(converse(complement(composition(X0,top)))))),
inference(superposition,[status(thm)],[c_9580,c_390]) ).
tcf(c_27602,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(zero),complement(composition(converse(complement(composition(X0,top))),composition(X0,iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9580,c_433]) ).
tcf(c_27604,plain,
! [X0: $i,X1: $i] : composition(converse(complement(composition(X0,top))),composition(X0,X1)) = composition(zero,X1),
inference(superposition,[status(thm)],[c_9580,c_52]) ).
tcf(c_27605,plain,
converse(complement(composition(one,top))) = zero,
inference(superposition,[status(thm)],[c_9580,c_53]) ).
tcf(c_27606,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(complement(composition(X1,top)))),X1) = join(composition(X0,X1),zero),
inference(superposition,[status(thm)],[c_9580,c_54]) ).
tcf(c_27607,plain,
! [X0: $i] : converse(composition(X0,complement(composition(converse(X0),top)))) = zero,
inference(superposition,[status(thm)],[c_9580,c_57]) ).
tcf(c_27608,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_9580,c_362]) ).
tcf(c_27610,plain,
! [X0: $i] : composition(join(one,converse(complement(composition(X0,top)))),X0) = join(X0,zero),
inference(superposition,[status(thm)],[c_9580,c_1767]) ).
tcf(c_27611,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(complement(composition(X0,top)))),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_9580,c_76]) ).
tcf(c_27612,plain,
! [X0: $i,X1: $i] : composition(join(converse(complement(composition(converse(X0),top))),converse(X1)),converse(X0)) = join(zero,converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_9580,c_395]) ).
tcf(c_27613,plain,
! [X0: $i] : composition(X0,converse(converse(complement(composition(converse(X0),top))))) = converse(zero),
inference(superposition,[status(thm)],[c_9580,c_225]) ).
tcf(c_27614,plain,
! [X0: $i] : join(complement(X0),composition(complement(composition(X0,top)),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_9580,c_350]) ).
tcf(c_27615,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,top))) = converse(zero),
inference(superposition,[status(thm)],[c_9580,c_226]) ).
tcf(c_27616,plain,
composition(converse(complement(zero)),converse(complement(composition(top,top)))) = zero,
inference(superposition,[status(thm)],[c_9580,c_9580]) ).
tcf(c_27617,plain,
! [X0: $i] : composition(join(converse(complement(composition(top,top))),join(X0,complement(zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9580,c_25289]) ).
tcf(c_27618,plain,
composition(join(converse(complement(composition(top,top))),composition(top,complement(zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9580,c_25283]) ).
tcf(c_27619,plain,
composition(join(converse(complement(composition(top,top))),complement(zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9580,c_25280]) ).
tcf(c_27620,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,top)))),converse(iPr_def_10)) = composition(join(zero,X0),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_9580,c_25205]) ).
tcf(c_27621,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(converse(complement(composition(top,top))),iPr_def_10))),complement(join(iPr_def_10,zero)))) = zero,
inference(superposition,[status(thm)],[c_9580,c_18823]) ).
tcf(c_27622,plain,
composition(top,composition(converse(join(iPr_def_10,join(converse(complement(composition(top,top))),iPr_def_10))),complement(join(iPr_def_10,zero)))) = zero,
inference(superposition,[status(thm)],[c_9580,c_18222]) ).
tcf(c_27623,plain,
composition(top,converse(join(iPr_def_10,converse(complement(composition(top,top)))))) = converse(join(iPr_def_10,zero)),
inference(superposition,[status(thm)],[c_9580,c_16911]) ).
tcf(c_27624,plain,
composition(top,converse(converse(complement(composition(top,top))))) = converse(zero),
inference(superposition,[status(thm)],[c_9580,c_2354]) ).
tcf(c_27625,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(complement(composition(top,top)))),composition(top,X0)) = composition(join(iPr_def_10,zero),X0),
inference(superposition,[status(thm)],[c_9580,c_445]) ).
tcf(c_27626,plain,
composition(converse(join(iPr_def_10,converse(complement(composition(top,top))))),complement(join(iPr_def_10,zero))) = zero,
inference(superposition,[status(thm)],[c_9580,c_9562]) ).
tcf(c_27627,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_9580,c_9545]) ).
tcf(c_27634,plain,
join(iPr_def_11,composition(converse(converse(complement(composition(iPr_def_10,top)))),composition(top,complement(composition(top,zero))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9580,c_14347]) ).
tcf(c_27635,plain,
! [X0: $i] : join(iPr_def_11,join(composition(converse(converse(complement(composition(iPr_def_10,top)))),complement(zero)),X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_9580,c_434]) ).
tcf(c_27636,plain,
join(iPr_def_11,composition(converse(converse(complement(composition(iPr_def_10,top)))),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9580,c_349]) ).
tcf(c_27637,plain,
! [X0: $i,X1: $i] : composition(converse(composition(complement(composition(X0,top)),X1)),X0) = composition(converse(X1),zero),
inference(superposition,[status(thm)],[c_9580,c_381]) ).
tcf(c_27638,plain,
! [X0: $i,X1: $i] : composition(converse(composition(X0,complement(composition(composition(converse(X0),X1),top)))),X1) = zero,
inference(superposition,[status(thm)],[c_9580,c_381]) ).
tcf(c_27639,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_9580,c_385]) ).
tcf(c_27640,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_9580,c_385]) ).
tcf(c_27641,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(complement(composition(X2,top)))),X2) = join(composition(X0,composition(X1,X2)),zero),
inference(superposition,[status(thm)],[c_9580,c_388]) ).
tcf(c_27642,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),converse(complement(composition(converse(X1),top)))),converse(X1)) = join(converse(composition(X1,X0)),zero),
inference(superposition,[status(thm)],[c_9580,c_390]) ).
tcf(c_27643,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X1,zero)),
inference(superposition,[status(thm)],[c_9580,c_393]) ).
tcf(c_27644,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(converse(complement(composition(composition(X1,X2),top))),X1)),X2) = join(composition(X0,X2),zero),
inference(superposition,[status(thm)],[c_9580,c_393]) ).
tcf(c_27645,plain,
join(iPr_def_11,composition(complement(composition(iPr_def_10,top)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9580,c_432]) ).
tcf(c_27647,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(converse(converse(complement(composition(iPr_def_10,top)))),complement(zero)))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_9580,c_9023]) ).
tcf(c_27648,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(X0,converse(complement(composition(iPr_def_10,top))))),complement(composition(X0,zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9580,c_433]) ).
tcf(c_27649,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(complement(composition(composition(X0,iPr_def_10),top))),X0)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9580,c_433]) ).
tcf(c_27650,plain,
! [X0: $i] : composition(join(X0,join(converse(complement(composition(top,top))),complement(zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9580,c_25285]) ).
tcf(c_27651,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),converse(complement(composition(top,top))))),complement(join(composition(X0,iPr_def_10),zero))) = zero,
inference(superposition,[status(thm)],[c_9580,c_23788]) ).
tcf(c_27652,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),converse(complement(composition(top,top)))))) = converse(join(composition(X0,iPr_def_10),zero)),
inference(superposition,[status(thm)],[c_9580,c_23785]) ).
tcf(c_27653,plain,
join(iPr_def_10,composition(converse(converse(complement(composition(iPr_def_11,top)))),composition(complement(zero),top))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9580,c_1679]) ).
tcf(c_27654,plain,
join(iPr_def_10,composition(converse(converse(complement(composition(iPr_def_11,top)))),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9580,c_1680]) ).
tcf(c_27655,plain,
composition(complement(composition(top,top)),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_9580,c_9546]) ).
tcf(c_27656,plain,
join(iPr_def_10,composition(complement(composition(iPr_def_11,top)),complement(zero))) = iPr_def_10,
inference(superposition,[status(thm)],[c_9580,c_11899]) ).
tcf(c_27658,plain,
! [X0: $i] : join(X0,composition(converse(converse(complement(composition(complement(X0),top)))),complement(zero))) = X0,
inference(superposition,[status(thm)],[c_9580,c_7774]) ).
tcf(c_27659,plain,
join(iPr_def_11,composition(top,composition(converse(converse(complement(composition(composition(top,iPr_def_10),top)))),complement(zero)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_9580,c_17888]) ).
tcf(c_27675,plain,
! [X0: $i] : composition(X0,converse(converse(complement(composition(converse(X0),top))))) = zero,
inference(light_normalisation,[status(thm)],[c_27613,c_1950]) ).
tcf(c_27676,plain,
join(iPr_def_10,converse(converse(iPr_def_10))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_27654,c_116,c_1431,c_17506]) ).
tcf(c_27678,plain,
! [X0: $i] : join(complement(X0),composition(complement(composition(X0,top)),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_27614,c_1431]) ).
tcf(c_27679,plain,
! [X0: $i] : composition(join(one,converse(complement(composition(X0,top)))),X0) = X0,
inference(light_normalisation,[status(thm)],[c_27610,c_1429]) ).
tcf(c_27682,plain,
! [X0: $i] : join(X0,composition(converse(converse(complement(composition(complement(X0),top)))),top)) = X0,
inference(light_normalisation,[status(thm)],[c_27658,c_1431]) ).
tcf(c_27683,plain,
composition(join(complement(zero),converse(complement(composition(top,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27619,c_50,c_49]) ).
tcf(c_27688,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(complement(composition(X0,top)))),top)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_27611,c_1431]) ).
tcf(c_27689,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_27606,c_50,c_49]) ).
tcf(c_27690,plain,
! [X0: $i] : composition(join(X0,join(complement(zero),converse(complement(composition(top,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27650,c_50,c_49]) ).
tcf(c_27692,plain,
composition(join(composition(top,complement(zero)),converse(complement(composition(top,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27618,c_50,c_49]) ).
tcf(c_27694,plain,
! [X0: $i] : composition(join(complement(zero),join(X0,converse(complement(composition(top,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27617,c_50,c_49]) ).
tcf(c_27696,plain,
join(iPr_def_11,composition(top,composition(converse(converse(complement(composition(composition(top,iPr_def_10),top)))),top))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_27659,c_1431]) ).
tcf(c_27697,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(composition(converse(complement(composition(composition(X0,iPr_def_10),top))),X0)),top)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_27649,c_1431]) ).
tcf(c_27699,plain,
! [X0: $i] : join(iPr_def_11,join(X0,converse(converse(iPr_def_12)))) = join(X0,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_27647,c_192,c_193,c_1431,c_17000]) ).
tcf(c_27704,plain,
! [X0: $i] : join(iPr_def_11,composition(zero,complement(composition(converse(complement(composition(X0,top))),composition(X0,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_27602,c_1950]) ).
tcf(c_27706,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),converse(complement(composition(top,top)))))) = converse(join(zero,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_27652,c_50,c_49]) ).
tcf(c_27707,plain,
! [X0: $i] : composition(top,converse(join(composition(X0,iPr_def_10),zero))) = converse(join(zero,composition(X0,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_27706,c_107,c_1950,c_11762]) ).
tcf(c_27709,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),converse(complement(composition(top,top))))),complement(join(zero,composition(X0,iPr_def_10)))) = zero,
inference(theory_normalisation,[status(thm)],[c_27651,c_50,c_49]) ).
tcf(c_27710,plain,
! [X0: $i] : composition(converse(join(composition(X0,iPr_def_10),zero)),complement(join(zero,composition(X0,iPr_def_10)))) = zero,
inference(light_normalisation,[status(thm)],[c_27709,c_107,c_1950,c_11762]) ).
tcf(c_27712,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(converse(complement(composition(composition(X1,X2),top))),X1)),X2) = join(zero,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_27644,c_50,c_49]) ).
tcf(c_27713,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),converse(complement(composition(converse(X1),top)))),converse(X1)) = join(zero,converse(composition(X1,X0))),
inference(theory_normalisation,[status(thm)],[c_27642,c_50,c_49]) ).
tcf(c_27714,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),converse(complement(composition(X2,top)))),X2) = join(zero,composition(X0,composition(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_27641,c_50,c_49]) ).
tcf(c_27715,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_27640,c_1431]) ).
tcf(c_27716,plain,
composition(top,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(complement(composition(top,top)))))),complement(join(iPr_def_10,zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_27622,c_50,c_49]) ).
tcf(c_27718,plain,
composition(iPr_def_10,composition(converse(join(iPr_def_10,join(iPr_def_10,converse(complement(composition(top,top)))))),complement(join(iPr_def_10,zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_27621,c_50,c_49]) ).
tcf(c_27720,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_27608,c_1431]) ).
tcf(c_27721,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_27598,c_1950]) ).
tcf(c_27722,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(complement(composition(X1,top)))),X2),X1) = join(zero,composition(X2,X1)),
inference(light_normalisation,[status(thm)],[c_27597,c_8201]) ).
tcf(c_27723,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),X1),converse(converse(complement(composition(X0,top))))) = join(zero,composition(X1,converse(converse(complement(composition(X0,top)))))),
inference(light_normalisation,[status(thm)],[c_27601,c_1950]) ).
tcf(c_27724,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(converse(complement(composition(X1,top))))) = join(converse(zero),composition(X0,converse(converse(complement(composition(X1,top)))))),
inference(theory_normalisation,[status(thm)],[c_27596,c_50,c_49]) ).
tcf(c_27725,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(X1)),converse(converse(complement(composition(X1,top))))) = join(zero,composition(X0,converse(converse(complement(composition(X1,top)))))),
inference(light_normalisation,[status(thm)],[c_27724,c_1950]) ).
tcf(c_27739,plain,
! [X0: $i,X1: $i] : composition(join(complement(X0),join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_362,c_25292]) ).
tcf(c_27747,plain,
! [X0: $i] : composition(join(join(X0,complement(composition(X0,top))),iPr_def_11),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_26135,c_25292]) ).
tcf(c_27755,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12338,c_25292]) ).
tcf(c_27757,plain,
! [X0: $i] : composition(join(complement(iPr_def_12),join(X0,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_25292]) ).
tcf(c_27758,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_25292]) ).
tcf(c_27771,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_25292]) ).
tcf(c_27774,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(complement(X1),complement(composition(composition(converse(X2),complement(composition(X2,X1))),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_362,c_25292]) ).
tcf(c_27778,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_11,complement(composition(composition(converse(X1),complement(composition(X1,iPr_def_10))),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_434,c_25292]) ).
tcf(c_27782,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,complement(composition(iPr_def_12,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_3214,c_25292]) ).
tcf(c_27789,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,complement(composition(complement(converse(complement(converse(iPr_def_11)))),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12338,c_25292]) ).
tcf(c_27790,plain,
! [X0: $i] : composition(join(X0,join(complement(iPr_def_12),complement(composition(complement(iPr_def_12),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_25292]) ).
tcf(c_27791,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,complement(composition(complement(join(iPr_def_11,X1)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_25292]) ).
tcf(c_27792,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,complement(composition(composition(complement(join(iPr_def_11,X1)),top),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13393,c_25292]) ).
tcf(c_27800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,complement(composition(join(X2,X3),top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25292]) ).
tcf(c_27801,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(composition(zero,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25292]) ).
tcf(c_27802,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,top)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7096,c_25292]) ).
tcf(c_27803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(composition(X2,X3),complement(composition(X2,composition(X3,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_52,c_25292]) ).
tcf(c_27804,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_11,complement(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_116,c_25292]) ).
tcf(c_27805,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,complement(iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_25292]) ).
tcf(c_27806,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(iPr_def_11,X2),complement(join(iPr_def_12,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_391,c_25292]) ).
tcf(c_27807,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(iPr_def_10,X2),complement(join(iPr_def_10,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_392,c_25292]) ).
tcf(c_27808,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(X2,iPr_def_11),complement(join(iPr_def_12,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_402,c_25292]) ).
tcf(c_27809,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(X2,iPr_def_10),complement(join(iPr_def_10,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_401,c_25292]) ).
tcf(c_27810,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(top,complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11762,c_25292]) ).
tcf(c_27811,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(iPr_def_10,composition(X2,top)),complement(composition(join(iPr_def_10,X2),composition(top,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_445,c_25292]) ).
tcf(c_27812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(join(X2,join(iPr_def_10,X3)),complement(join(iPr_def_10,composition(join(X2,X3),top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9109,c_25292]) ).
tcf(c_27813,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1708,c_25292]) ).
tcf(c_27814,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_12,complement(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11779,c_25292]) ).
tcf(c_27815,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(one,X2),complement(join(top,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_25292]) ).
tcf(c_27816,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(X2,one),complement(join(top,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_25292]) ).
tcf(c_27817,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,complement(zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8217,c_25292]) ).
tcf(c_27818,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(converse(complement(composition(top,top))),complement(zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9580,c_25292]) ).
tcf(c_27819,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(converse(iPr_def_12),complement(composition(top,iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18563,c_25292]) ).
tcf(c_27820,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(converse(iPr_def_10),complement(composition(top,iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_19820,c_25292]) ).
tcf(c_27821,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(iPr_def_12,X2),complement(join(iPr_def_12,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11839,c_25292]) ).
tcf(c_27822,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(iPr_def_12),complement(iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_25292]) ).
tcf(c_27823,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(join(X2,iPr_def_12),complement(join(iPr_def_12,composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11846,c_25292]) ).
tcf(c_27824,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(converse(iPr_def_11),complement(composition(top,iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18545,c_25292]) ).
tcf(c_27825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(join(composition(X2,iPr_def_10),X3),complement(join(composition(X2,iPr_def_10),composition(X3,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_22679,c_25292]) ).
tcf(c_27826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(join(X2,composition(X3,iPr_def_10)),complement(join(composition(X3,iPr_def_10),composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23730,c_25292]) ).
tcf(c_27827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(join(X2,composition(X3,iPr_def_10)),complement(join(composition(X2,top),composition(X3,iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25650,c_25292]) ).
tcf(c_27828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(join(X1,join(X2,join(X3,complement(composition(X3,top))))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,join(X3,complement(composition(X3,top))))))),
inference(superposition,[status(thm)],[c_25292,c_395]) ).
tcf(c_27829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,join(X1,join(X2,join(X3,complement(composition(X3,top)))))),X4),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X4,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25292,c_388]) ).
tcf(c_27830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,join(X2,join(X3,complement(composition(X3,top))))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25292,c_385]) ).
tcf(c_27831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(join(X0,join(X1,join(X2,complement(composition(X2,top))))),composition(X3,X4)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X3,composition(X4,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25292,c_393]) ).
tcf(c_27832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,join(X3,complement(composition(X3,top)))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,join(X2,join(X3,complement(composition(X3,top))))))),
inference(superposition,[status(thm)],[c_25292,c_390]) ).
tcf(c_27833,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25292,c_433]) ).
tcf(c_27834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,join(X2,complement(composition(X2,top))))),X3),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X3,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25292,c_54]) ).
tcf(c_27835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),composition(converse(iPr_def_10),X3)) = composition(converse(iPr_def_10),X3),
inference(superposition,[status(thm)],[c_25292,c_52]) ).
tcf(c_27836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_54]) ).
tcf(c_27837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,join(X1,join(X2,complement(composition(X2,top)))))),complement(converse(iPr_def_10))),X3)) = join(complement(converse(iPr_def_10)),X3),
inference(superposition,[status(thm)],[c_25292,c_362]) ).
tcf(c_27838,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(X2,complement(composition(X2,top))))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_1782]) ).
tcf(c_27839,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,join(X0,join(X1,join(X2,complement(composition(X2,top)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_1767]) ).
tcf(c_27840,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,join(X1,join(X2,complement(composition(X2,top)))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_76]) ).
tcf(c_27841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,join(X2,complement(composition(X2,top))))),converse(X3)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X3))),
inference(superposition,[status(thm)],[c_25292,c_395]) ).
tcf(c_27842,plain,
! [X0: $i,X1: $i,X2: $i] : composition(iPr_def_10,converse(join(X0,join(X1,join(X2,complement(composition(X2,top))))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_225]) ).
tcf(c_27843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,join(X2,join(X3,complement(composition(X3,top))))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_385]) ).
tcf(c_27844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,X1),join(X2,join(X3,join(X4,complement(composition(X4,top)))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_388]) ).
tcf(c_27845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25292,c_390]) ).
tcf(c_27846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(X0,composition(X1,join(X2,join(X3,join(X4,complement(composition(X4,top))))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25292,c_393]) ).
tcf(c_27847,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(composition(X1,top)))),X2),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25292,c_25205]) ).
tcf(c_27849,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_27817,c_1431]) ).
tcf(c_27850,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(top,zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27849,c_50,c_49]) ).
tcf(c_27851,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_27813,c_107]) ).
tcf(c_27858,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27747,c_50,c_49]) ).
tcf(c_27859,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(iPr_def_10),complement(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27822,c_50,c_49]) ).
tcf(c_27861,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(complement(composition(X1,top)),X2))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27847,c_50,c_49]) ).
tcf(c_27862,plain,
! [X0: $i] : composition(join(X0,join(complement(iPr_def_12),iPr_def_11)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_27790,c_192,c_15143]) ).
tcf(c_27867,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(zero),converse(complement(composition(top,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27818,c_50,c_49]) ).
tcf(c_27869,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_12,complement(join(iPr_def_12,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27823,c_50,c_49]) ).
tcf(c_27870,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_12,join(X2,complement(join(iPr_def_12,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27821,c_50,c_49]) ).
tcf(c_27871,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(one,complement(join(top,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27816,c_50,c_49]) ).
tcf(c_27872,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(one,join(X2,complement(join(top,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27815,c_50,c_49]) ).
tcf(c_27873,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,complement(join(iPr_def_10,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27809,c_50,c_49]) ).
tcf(c_27874,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_11,complement(join(iPr_def_12,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27808,c_50,c_49]) ).
tcf(c_27875,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(X2,complement(join(iPr_def_10,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27807,c_50,c_49]) ).
tcf(c_27876,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_11,join(X2,complement(join(iPr_def_12,composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27806,c_50,c_49]) ).
tcf(c_27877,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(one,complement(composition(X2,top)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_27838,c_50,c_49]) ).
tcf(c_27878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_27836,c_50,c_49]) ).
tcf(c_27880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(complement(composition(X2,top)),X3)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X3,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_27834,c_50,c_49]) ).
tcf(c_27881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(converse(X0),join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_27845,c_50,c_49]) ).
tcf(c_27882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(complement(composition(X2,top)),converse(X3))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X3))),
inference(theory_normalisation,[status(thm)],[c_27841,c_50,c_49]) ).
tcf(c_27883,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_27833,c_19078]) ).
tcf(c_27884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(composition(X3,iPr_def_10),complement(join(composition(X2,top),composition(X3,iPr_def_10))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27827,c_50,c_49]) ).
tcf(c_27885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(composition(X3,iPr_def_10),complement(join(composition(X3,iPr_def_10),composition(X2,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27826,c_50,c_49]) ).
tcf(c_27886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(composition(X2,iPr_def_10),join(X3,complement(join(composition(X2,iPr_def_10),composition(X3,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27825,c_50,c_49]) ).
tcf(c_27887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,join(X3,complement(join(iPr_def_10,composition(join(X2,X3),top)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27812,c_50,c_49]) ).
tcf(c_27888,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(composition(X2,top),complement(composition(join(iPr_def_10,X2),composition(top,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27811,c_50,c_49]) ).
tcf(c_27889,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(composition(X2,top),complement(composition(join(iPr_def_10,X2),top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_27888,c_11762]) ).
tcf(c_27890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,X1),join(X2,join(X3,join(X4,complement(composition(X4,top)))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_27844,c_50,c_49]) ).
tcf(c_27891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(composition(X0,X1),join(X2,join(X3,join(X4,complement(composition(X4,top)))))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_27890,c_22936]) ).
tcf(c_27892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : composition(join(X0,join(X1,join(X2,join(complement(composition(X2,top)),composition(X3,X4))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X3,composition(X4,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_27831,c_50,c_49]) ).
tcf(c_27893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,join(X3,complement(composition(X3,top)))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,join(X3,complement(composition(X3,top))))))),
inference(theory_normalisation,[status(thm)],[c_27828,c_50,c_49]) ).
tcf(c_27925,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,converse(complement(composition(top,converse(join(X0,X1)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25296]) ).
tcf(c_27926,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(composition(top,converse(X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_25296]) ).
tcf(c_27927,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,converse(zero))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25296]) ).
tcf(c_27929,plain,
! [X0: $i] : composition(join(complement(X0),converse(complement(composition(top,converse(complement(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_362,c_25296]) ).
tcf(c_27932,plain,
! [X0: $i] : composition(join(iPr_def_10,converse(complement(composition(top,converse(complement(join(X0,iPr_def_11))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_369,c_25296]) ).
tcf(c_27942,plain,
composition(join(iPr_def_11,converse(complement(composition(top,converse(iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12338,c_25296]) ).
tcf(c_27943,plain,
composition(join(complement(iPr_def_12),converse(complement(composition(top,converse(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_25296]) ).
tcf(c_27944,plain,
composition(join(iPr_def_10,converse(complement(composition(top,converse(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_25296]) ).
tcf(c_27953,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(converse(complement(composition(top,converse(X0)))),X1)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_25296]) ).
tcf(c_27955,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,converse(complement(composition(top,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25296]) ).
tcf(c_27956,plain,
! [X0: $i,X1: $i] : composition(join(X0,converse(join(X1,complement(composition(top,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_56,c_25296]) ).
tcf(c_27960,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,converse(complement(converse(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16909,c_25296]) ).
tcf(c_27961,plain,
! [X0: $i] : composition(join(iPr_def_11,join(X0,converse(complement(converse(iPr_def_12))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16908,c_25296]) ).
tcf(c_27962,plain,
! [X0: $i] : composition(join(iPr_def_12,join(X0,converse(complement(converse(iPr_def_12))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16918,c_25296]) ).
tcf(c_27963,plain,
! [X0: $i] : composition(join(complement(iPr_def_12),join(X0,converse(complement(converse(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16923,c_25296]) ).
tcf(c_27964,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_10),join(X1,converse(complement(converse(composition(X0,iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_17604,c_25296]) ).
tcf(c_27965,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,iPr_def_12),join(X1,converse(complement(converse(composition(X0,iPr_def_12)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_17788,c_25296]) ).
tcf(c_27966,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,converse(complement(composition(top,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_55,c_25296]) ).
tcf(c_27967,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(converse(X0),X1),join(X2,converse(complement(composition(top,join(converse(X1),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_985,c_25296]) ).
tcf(c_27968,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(converse(X0),X1),join(X2,converse(complement(composition(top,join(X0,converse(X1))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_221,c_25296]) ).
tcf(c_27969,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,converse(X1)),join(X2,converse(complement(composition(top,join(X1,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_765,c_25296]) ).
tcf(c_27970,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,converse(X1)),join(X2,converse(complement(composition(top,join(converse(X0),X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_222,c_25296]) ).
tcf(c_27971,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,converse(X1)),join(X2,converse(complement(composition(top,composition(X1,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_225,c_25296]) ).
tcf(c_27972,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(converse(X0),X1),join(X2,converse(complement(composition(top,composition(converse(X1),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_226,c_25296]) ).
tcf(c_27973,plain,
! [X0: $i] : composition(join(top,join(X0,converse(complement(composition(top,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2343,c_25296]) ).
tcf(c_27974,plain,
! [X0: $i] : composition(join(zero,join(X0,converse(complement(composition(top,zero))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1950,c_25296]) ).
tcf(c_27975,plain,
! [X0: $i] : composition(join(one,join(X0,converse(complement(composition(top,one))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1689,c_25296]) ).
tcf(c_27976,plain,
! [X0: $i,X1: $i] : composition(join(join(one,X0),join(X1,converse(complement(composition(top,join(one,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1723,c_25296]) ).
tcf(c_27977,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,one),join(X1,converse(complement(composition(top,join(one,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1729,c_25296]) ).
tcf(c_27978,plain,
! [X0: $i,X1: $i] : composition(join(composition(top,X0),join(X1,converse(complement(composition(top,composition(converse(X0),top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2357,c_25296]) ).
tcf(c_27979,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,top),join(X1,converse(complement(composition(top,composition(top,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2354,c_25296]) ).
tcf(c_27980,plain,
! [X0: $i,X1: $i] : composition(join(join(iPr_def_10,composition(X0,top)),join(X1,converse(complement(composition(top,composition(top,converse(join(iPr_def_10,X0)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16911,c_25296]) ).
tcf(c_27981,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(composition(X0,iPr_def_10),composition(X1,top)),join(X2,converse(complement(composition(top,composition(top,converse(join(composition(X0,iPr_def_10),X1)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23785,c_25296]) ).
tcf(c_27982,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,join(X2,converse(complement(composition(top,converse(X1)))))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,converse(complement(composition(top,converse(X1)))))))),
inference(superposition,[status(thm)],[c_25296,c_395]) ).
tcf(c_27983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,join(X1,join(X2,converse(complement(composition(top,converse(X1))))))),X3),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X3,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25296,c_388]) ).
tcf(c_27984,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,join(X2,converse(complement(composition(top,converse(X1)))))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25296,c_385]) ).
tcf(c_27985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),composition(X2,X3)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25296,c_393]) ).
tcf(c_27986,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,converse(complement(composition(top,converse(X1))))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,join(X2,converse(complement(composition(top,converse(X1)))))))),
inference(superposition,[status(thm)],[c_25296,c_390]) ).
tcf(c_27987,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25296,c_433]) ).
tcf(c_27988,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),X2),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25296,c_54]) ).
tcf(c_27989,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),composition(converse(iPr_def_10),X2)) = composition(converse(iPr_def_10),X2),
inference(superposition,[status(thm)],[c_25296,c_52]) ).
tcf(c_27990,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,converse(complement(composition(top,converse(X1))))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_54]) ).
tcf(c_27991,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,join(X1,converse(complement(composition(top,converse(X0))))))),complement(converse(iPr_def_10))),X2)) = join(complement(converse(iPr_def_10)),X2),
inference(superposition,[status(thm)],[c_25296,c_362]) ).
tcf(c_27992,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_1782]) ).
tcf(c_27993,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,converse(complement(composition(top,converse(X0))))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_1767]) ).
tcf(c_27994,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,join(X1,converse(complement(composition(top,converse(X0))))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_76]) ).
tcf(c_27995,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),converse(X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_25296,c_395]) ).
tcf(c_27996,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,converse(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_225]) ).
tcf(c_27997,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,join(X2,converse(complement(composition(top,converse(X1)))))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_385]) ).
tcf(c_27998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,converse(complement(composition(top,converse(X2))))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_388]) ).
tcf(c_27999,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,converse(complement(composition(top,converse(X1))))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25296,c_390]) ).
tcf(c_28000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,composition(X1,join(X2,join(X3,converse(complement(composition(top,converse(X2)))))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25296,c_393]) ).
tcf(c_28001,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(complement(composition(top,converse(composition(X1,top)))))),X1),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25296,c_25205]) ).
tcf(c_28007,plain,
! [X0: $i] : composition(join(X0,converse(complement(composition(top,zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_27927,c_1950]) ).
tcf(c_28010,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,converse(complement(composition(top,converse(composition(X1,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28001,c_50,c_49]) ).
tcf(c_28012,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,join(X1,converse(complement(composition(top,join(one,converse(X0)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27977,c_50,c_49]) ).
tcf(c_28013,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,converse(complement(composition(top,join(one,converse(X0)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27976,c_50,c_49]) ).
tcf(c_28014,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,converse(complement(composition(top,converse(X0))))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_27992,c_50,c_49]) ).
tcf(c_28015,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(X1),join(X2,converse(complement(composition(top,join(converse(X0),X1))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27970,c_50,c_49]) ).
tcf(c_28016,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(converse(X1),join(X2,converse(complement(composition(top,join(X1,converse(X0)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27969,c_50,c_49]) ).
tcf(c_28017,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,converse(complement(composition(top,join(X0,converse(X1)))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27968,c_50,c_49]) ).
tcf(c_28018,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,converse(complement(composition(top,join(converse(X1),X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27967,c_50,c_49]) ).
tcf(c_28019,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,converse(complement(composition(top,converse(X1))))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_27990,c_50,c_49]) ).
tcf(c_28020,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(converse(complement(composition(top,converse(X0)))),X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_27988,c_50,c_49]) ).
tcf(c_28021,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,converse(complement(composition(top,converse(X1))))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_27999,c_50,c_49]) ).
tcf(c_28022,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(converse(complement(composition(top,converse(X0)))),converse(X2)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(theory_normalisation,[status(thm)],[c_27995,c_50,c_49]) ).
tcf(c_28023,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_27987,c_19078]) ).
tcf(c_28024,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(composition(X0,top),join(X1,converse(complement(composition(top,composition(top,converse(join(iPr_def_10,X0))))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27980,c_50,c_49]) ).
tcf(c_28025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,converse(complement(composition(top,converse(X2))))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_27998,c_50,c_49]) ).
tcf(c_28026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,converse(complement(composition(top,converse(X2))))))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_28025,c_22936]) ).
tcf(c_28027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(converse(complement(composition(top,converse(X0)))),composition(X2,X3)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_27985,c_50,c_49]) ).
tcf(c_28028,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,iPr_def_10),join(composition(X1,top),join(X2,converse(complement(composition(top,composition(top,converse(join(composition(X0,iPr_def_10),X1))))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_27981,c_50,c_49]) ).
tcf(c_28029,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,converse(complement(composition(top,converse(X1))))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,converse(complement(composition(top,converse(X1)))))))),
inference(theory_normalisation,[status(thm)],[c_27982,c_50,c_49]) ).
tcf(c_28040,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(X2,top),join(X0,X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25298]) ).
tcf(c_28041,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(composition(X0,top),X1)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_25298]) ).
tcf(c_28042,plain,
! [X0: $i] : composition(join(X0,complement(join(composition(X0,top),zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25298]) ).
tcf(c_28044,plain,
! [X0: $i,X1: $i] : composition(join(complement(X0),complement(join(composition(composition(converse(X1),complement(composition(X1,X0))),top),complement(X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_362,c_25298]) ).
tcf(c_28047,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(composition(complement(join(iPr_def_11,complement(X0))),top),complement(join(X0,iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_369,c_25298]) ).
tcf(c_28048,plain,
! [X0: $i] : composition(join(iPr_def_11,complement(join(composition(composition(converse(X0),complement(composition(X0,iPr_def_10))),top),iPr_def_11))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_434,c_25298]) ).
tcf(c_28051,plain,
composition(join(iPr_def_11,complement(join(composition(iPr_def_12,top),iPr_def_11))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_3214,c_25298]) ).
tcf(c_28053,plain,
! [X0: $i] : composition(join(X0,complement(join(composition(X0,top),X0))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7878,c_25298]) ).
tcf(c_28057,plain,
composition(join(iPr_def_11,complement(join(composition(complement(converse(complement(converse(iPr_def_11)))),top),iPr_def_11))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12338,c_25298]) ).
tcf(c_28058,plain,
composition(join(complement(iPr_def_12),complement(join(composition(complement(iPr_def_12),top),iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_25298]) ).
tcf(c_28059,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(composition(complement(join(iPr_def_11,X0)),top),iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_25298]) ).
tcf(c_28060,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(composition(composition(complement(join(iPr_def_11,X0)),top),top),iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13393,c_25298]) ).
tcf(c_28068,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(join(X1,X2),top),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_25298]) ).
tcf(c_28069,plain,
! [X0: $i] : composition(join(X0,complement(join(composition(zero,top),X0))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_25298]) ).
tcf(c_28071,plain,
composition(join(join(iPr_def_11,complement(join(iPr_def_11,complement(composition(iPr_def_11,top))))),join(iPr_def_11,complement(composition(iPr_def_11,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1888,c_25298]) ).
tcf(c_28072,plain,
composition(join(join(iPr_def_11,composition(iPr_def_11,top)),join(iPr_def_11,complement(join(iPr_def_11,composition(iPr_def_11,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11158,c_25298]) ).
tcf(c_28073,plain,
composition(join(iPr_def_11,iPr_def_10),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13297,c_25298]) ).
tcf(c_28074,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_11),iPr_def_10),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_14735,c_25298]) ).
tcf(c_28075,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(X0,composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_25298]) ).
tcf(c_28078,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,top),join(X1,complement(composition(join(X1,X0),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_54,c_25298]) ).
tcf(c_28079,plain,
! [X0: $i] : composition(join(complement(composition(X0,top)),join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_59,c_25298]) ).
tcf(c_28080,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,X1),join(X2,complement(join(X0,join(composition(X2,top),X1))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_25298]) ).
tcf(c_28081,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(join(composition(X1,top),X0))),join(X1,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_375,c_25298]) ).
tcf(c_28082,plain,
! [X0: $i,X1: $i] : composition(join(join(complement(composition(X0,top)),X1),join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7124,c_25298]) ).
tcf(c_28083,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,composition(X1,top)),join(X2,complement(composition(join(X2,composition(X0,X1)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_393,c_25298]) ).
tcf(c_28085,plain,
! [X0: $i] : composition(join(zero,join(X0,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1429,c_25298]) ).
tcf(c_28086,plain,
! [X0: $i] : composition(join(converse(complement(converse(composition(X0,top)))),join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2345,c_25298]) ).
tcf(c_28087,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(complement(converse(join(composition(X1,top),X0))))),join(X1,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9717,c_25298]) ).
tcf(c_28088,plain,
! [X0: $i,X1: $i] : composition(join(join(converse(complement(converse(composition(X0,top)))),X1),join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_21130,c_25298]) ).
tcf(c_28089,plain,
! [X0: $i] : composition(join(composition(X0,top),join(X0,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7769,c_25298]) ).
tcf(c_28090,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,composition(X1,top)),join(X1,complement(composition(join(X0,one),composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_25298]) ).
tcf(c_28091,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,composition(X1,top)),join(X1,complement(composition(join(one,X0),composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_25298]) ).
tcf(c_28092,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(composition(X1,top))),join(X1,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7426,c_25298]) ).
tcf(c_28093,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(complement(join(composition(X1,top),X0)),X2)),join(X1,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7392,c_25298]) ).
tcf(c_28094,plain,
! [X0: $i,X1: $i] : composition(join(composition(converse(X0),complement(composition(X0,complement(composition(X1,top))))),join(X1,complement(composition(X1,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7774,c_25298]) ).
tcf(c_28095,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(X0,top),X1),join(X0,complement(join(composition(X0,top),X1)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7878,c_25298]) ).
tcf(c_28096,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,converse(complement(converse(composition(X1,top))))),join(X1,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_21139,c_25298]) ).
tcf(c_28097,plain,
! [X0: $i] : composition(join(composition(complement(one),composition(X0,top)),join(X0,complement(composition(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11631,c_25298]) ).
tcf(c_28098,plain,
! [X0: $i] : composition(join(composition(top,complement(composition(X0,top))),join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11752,c_25298]) ).
tcf(c_28099,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(join(composition(X2,top),X0)))),join(X2,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12854,c_25298]) ).
tcf(c_28100,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(composition(X2,top)))),join(X2,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12833,c_25298]) ).
tcf(c_28101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,join(X2,complement(composition(X3,top))))),join(X3,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13081,c_25298]) ).
tcf(c_28102,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,X2),complement(join(composition(X1,composition(X2,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_52,c_25298]) ).
tcf(c_28103,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_11,complement(join(iPr_def_12,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_116,c_25298]) ).
tcf(c_28104,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_25298]) ).
tcf(c_28105,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_11,X1),complement(join(join(iPr_def_12,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_391,c_25298]) ).
tcf(c_28106,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_10,X1),complement(join(join(iPr_def_10,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_392,c_25298]) ).
tcf(c_28107,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,iPr_def_11),complement(join(join(iPr_def_12,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_402,c_25298]) ).
tcf(c_28108,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,iPr_def_10),complement(join(join(iPr_def_10,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_401,c_25298]) ).
tcf(c_28109,plain,
! [X0: $i] : composition(join(X0,join(top,complement(join(top,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11762,c_25298]) ).
tcf(c_28110,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_10,composition(X1,top)),complement(join(composition(join(iPr_def_10,X1),composition(top,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_445,c_25298]) ).
tcf(c_28111,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(X1,join(iPr_def_10,X2)),complement(join(join(iPr_def_10,composition(join(X1,X2),top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9109,c_25298]) ).
tcf(c_28112,plain,
! [X0: $i] : composition(join(X0,join(one,complement(join(top,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1708,c_25298]) ).
tcf(c_28113,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_12,complement(join(iPr_def_12,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11779,c_25298]) ).
tcf(c_28114,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(one,X1),complement(join(join(top,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1767,c_25298]) ).
tcf(c_28115,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,one),complement(join(join(top,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1782,c_25298]) ).
tcf(c_28116,plain,
! [X0: $i] : composition(join(X0,join(zero,complement(join(zero,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8217,c_25298]) ).
tcf(c_28117,plain,
! [X0: $i] : composition(join(X0,join(converse(complement(composition(top,top))),complement(join(zero,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9580,c_25298]) ).
tcf(c_28118,plain,
! [X0: $i] : composition(join(X0,join(converse(iPr_def_12),complement(join(composition(top,iPr_def_11),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18563,c_25298]) ).
tcf(c_28119,plain,
! [X0: $i] : composition(join(X0,join(converse(iPr_def_10),complement(join(composition(top,iPr_def_10),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_19820,c_25298]) ).
tcf(c_28120,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(iPr_def_12,X1),complement(join(join(iPr_def_12,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11839,c_25298]) ).
tcf(c_28121,plain,
! [X0: $i] : composition(join(X0,join(complement(iPr_def_12),complement(join(iPr_def_10,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15143,c_25298]) ).
tcf(c_28122,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(join(X1,iPr_def_12),complement(join(join(iPr_def_12,composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11846,c_25298]) ).
tcf(c_28123,plain,
! [X0: $i] : composition(join(X0,join(converse(iPr_def_11),complement(join(composition(top,iPr_def_11),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_18545,c_25298]) ).
tcf(c_28124,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(composition(X1,iPr_def_10),X2),complement(join(join(composition(X1,iPr_def_10),composition(X2,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_22679,c_25298]) ).
tcf(c_28125,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(X1,composition(X2,iPr_def_10)),complement(join(join(composition(X2,iPr_def_10),composition(X1,top)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_23730,c_25298]) ).
tcf(c_28126,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(join(X1,composition(X2,iPr_def_10)),complement(join(join(composition(X1,top),composition(X2,iPr_def_10)),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25650,c_25298]) ).
tcf(c_28127,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(join(X1,join(X2,complement(join(composition(X2,top),X1)))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,complement(join(composition(X2,top),X1)))))),
inference(superposition,[status(thm)],[c_25298,c_395]) ).
tcf(c_28128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,join(X1,join(X2,complement(join(composition(X2,top),X1))))),X3),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X3,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25298,c_388]) ).
tcf(c_28129,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,join(X2,complement(join(composition(X2,top),X1)))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_25298,c_385]) ).
tcf(c_28130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(join(X0,join(X1,complement(join(composition(X1,top),X0)))),composition(X2,X3)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_25298,c_393]) ).
tcf(c_28131,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,complement(join(composition(X2,top),X1))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,join(X2,complement(join(composition(X2,top),X1)))))),
inference(superposition,[status(thm)],[c_25298,c_390]) ).
tcf(c_28132,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,complement(join(composition(X1,top),X0)))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_25298,c_433]) ).
tcf(c_28133,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(join(composition(X1,top),X0)))),X2),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25298,c_54]) ).
tcf(c_28134,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,complement(join(composition(X1,top),X0)))),composition(converse(iPr_def_10),X2)) = composition(converse(iPr_def_10),X2),
inference(superposition,[status(thm)],[c_25298,c_52]) ).
tcf(c_28135,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(X2,top),X1))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_54]) ).
tcf(c_28136,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,join(X1,complement(join(composition(X1,top),X0))))),complement(converse(iPr_def_10))),X2)) = join(complement(converse(iPr_def_10)),X2),
inference(superposition,[status(thm)],[c_25298,c_362]) ).
tcf(c_28137,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,complement(join(composition(X1,top),X0)))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_1782]) ).
tcf(c_28138,plain,
! [X0: $i,X1: $i] : composition(join(one,join(X0,join(X1,complement(join(composition(X1,top),X0))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_1767]) ).
tcf(c_28139,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,join(X1,complement(join(composition(X1,top),X0))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_76]) ).
tcf(c_28140,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,complement(join(composition(X1,top),X0)))),converse(X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(superposition,[status(thm)],[c_25298,c_395]) ).
tcf(c_28141,plain,
! [X0: $i,X1: $i] : composition(iPr_def_10,converse(join(X0,join(X1,complement(join(composition(X1,top),X0)))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_225]) ).
tcf(c_28142,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,join(X2,complement(join(composition(X2,top),X1)))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_385]) ).
tcf(c_28143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(join(composition(X3,top),X2))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_388]) ).
tcf(c_28144,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,complement(join(composition(X2,top),X1))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_25298,c_390]) ).
tcf(c_28145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,composition(X1,join(X2,join(X3,complement(join(composition(X3,top),X2)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_25298,c_393]) ).
tcf(c_28146,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,complement(join(composition(X0,top),composition(X1,top)))),X1),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_25298,c_25205]) ).
tcf(c_28147,plain,
composition(join(iPr_def_10,iPr_def_11),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28073,c_50,c_49]) ).
tcf(c_28149,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,iPr_def_11)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28074,c_50,c_49]) ).
tcf(c_28151,plain,
! [X0: $i] : composition(join(X0,join(zero,complement(X0))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28116,c_1336]) ).
tcf(c_28155,plain,
! [X0: $i] : composition(join(X0,complement(join(X0,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28053,c_50,c_49]) ).
tcf(c_28156,plain,
composition(join(iPr_def_11,complement(join(iPr_def_11,composition(iPr_def_12,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28051,c_50,c_49]) ).
tcf(c_28157,plain,
composition(join(iPr_def_11,iPr_def_10),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28156,c_1671,c_3207,c_11779]) ).
tcf(c_28164,plain,
! [X0: $i] : composition(join(X0,complement(join(zero,composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28042,c_50,c_49]) ).
tcf(c_28165,plain,
! [X0: $i] : composition(join(X0,join(complement(top),complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28079,c_50,c_49]) ).
tcf(c_28166,plain,
! [X0: $i] : composition(join(X0,join(zero,complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28165,c_107]) ).
tcf(c_28167,plain,
! [X0: $i] : composition(join(X0,join(composition(X0,top),complement(composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28089,c_50,c_49]) ).
tcf(c_28168,plain,
composition(join(complement(iPr_def_12),complement(join(iPr_def_10,composition(complement(iPr_def_12),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28058,c_50,c_49]) ).
tcf(c_28169,plain,
composition(join(complement(iPr_def_12),complement(join(iPr_def_10,iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28168,c_15143]) ).
tcf(c_28170,plain,
! [X0: $i] : composition(join(X0,join(complement(top),composition(top,complement(composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28098,c_50,c_49]) ).
tcf(c_28171,plain,
! [X0: $i] : composition(join(X0,join(zero,composition(top,complement(composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28170,c_107]) ).
tcf(c_28172,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),complement(composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28092,c_50,c_49]) ).
tcf(c_28173,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,complement(composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28172,c_107]) ).
tcf(c_28174,plain,
! [X0: $i] : composition(join(X0,join(complement(top),converse(complement(converse(composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28086,c_50,c_49]) ).
tcf(c_28175,plain,
! [X0: $i] : composition(join(X0,join(zero,converse(complement(composition(top,converse(X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28174,c_107,c_2354]) ).
tcf(c_28176,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),complement(composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28082,c_50,c_49]) ).
tcf(c_28177,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,complement(composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28176,c_107]) ).
tcf(c_28178,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(iPr_def_10,composition(complement(join(iPr_def_11,X0)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28059,c_50,c_49]) ).
tcf(c_28180,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,complement(join(composition(X0,top),composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28146,c_50,c_49]) ).
tcf(c_28182,plain,
composition(join(iPr_def_11,complement(join(iPr_def_11,composition(complement(converse(complement(converse(iPr_def_11)))),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28057,c_50,c_49]) ).
tcf(c_28184,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(complement(top),complement(composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28100,c_50,c_49]) ).
tcf(c_28185,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(zero,complement(composition(X2,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28184,c_107]) ).
tcf(c_28186,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),converse(complement(converse(composition(X1,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28096,c_50,c_49]) ).
tcf(c_28187,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,converse(complement(converse(composition(X1,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28186,c_107]) ).
tcf(c_28188,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),converse(complement(converse(composition(X0,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28088,c_50,c_49]) ).
tcf(c_28189,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,converse(complement(composition(top,converse(X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28188,c_107,c_2354]) ).
tcf(c_28190,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),complement(join(composition(X1,top),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28081,c_50,c_49]) ).
tcf(c_28191,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,complement(join(composition(X1,top),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28190,c_107]) ).
tcf(c_28192,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(iPr_def_10,composition(composition(complement(join(iPr_def_11,X0)),top),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28060,c_50,c_49]) ).
tcf(c_28193,plain,
composition(join(iPr_def_10,complement(join(iPr_def_10,composition(zero,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28192,c_16184]) ).
tcf(c_28194,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_12,complement(join(iPr_def_12,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28122,c_50,c_49]) ).
tcf(c_28195,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_12,join(X1,complement(join(iPr_def_12,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28120,c_50,c_49]) ).
tcf(c_28196,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,complement(join(top,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28115,c_50,c_49]) ).
tcf(c_28197,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(one,join(X1,complement(join(top,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28114,c_50,c_49]) ).
tcf(c_28198,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28108,c_50,c_49]) ).
tcf(c_28199,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_11,complement(join(iPr_def_12,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28107,c_50,c_49]) ).
tcf(c_28200,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,complement(join(iPr_def_10,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28106,c_50,c_49]) ).
tcf(c_28201,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_11,join(X1,complement(join(iPr_def_12,join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28105,c_50,c_49]) ).
tcf(c_28202,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(composition(X0,top),complement(join(composition(X0,top),X1))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28095,c_50,c_49]) ).
tcf(c_28203,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(X0,join(composition(X2,top),X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28080,c_50,c_49]) ).
tcf(c_28205,plain,
composition(join(iPr_def_11,join(iPr_def_11,join(composition(iPr_def_11,top),complement(join(iPr_def_11,composition(iPr_def_11,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28072,c_50,c_49]) ).
tcf(c_28206,plain,
composition(join(iPr_def_11,join(iPr_def_11,join(iPr_def_12,iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28205,c_116,c_1671,c_3207]) ).
tcf(c_28207,plain,
composition(join(iPr_def_10,join(iPr_def_11,join(iPr_def_11,iPr_def_12))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28206,c_50,c_49]) ).
tcf(c_28208,plain,
composition(join(iPr_def_10,join(iPr_def_11,iPr_def_11)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28207,c_3207]) ).
tcf(c_28209,plain,
! [X0: $i] : composition(join(iPr_def_11,complement(join(iPr_def_11,composition(composition(converse(X0),complement(composition(X0,iPr_def_10))),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28048,c_50,c_49]) ).
tcf(c_28210,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(one,complement(join(composition(X1,top),X0))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_28137,c_50,c_49]) ).
tcf(c_28211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(complement(top),join(X3,complement(composition(X3,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28101,c_50,c_49]) ).
tcf(c_28212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(X2,join(zero,join(X3,complement(composition(X3,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28211,c_107]) ).
tcf(c_28213,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(complement(top),complement(join(composition(X2,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28099,c_50,c_49]) ).
tcf(c_28214,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(zero,complement(join(composition(X2,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28213,c_107]) ).
tcf(c_28215,plain,
! [X0: $i] : composition(join(X0,join(complement(composition(top,composition(X0,top))),composition(complement(one),composition(X0,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28097,c_50,c_49]) ).
tcf(c_28216,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(complement(top),complement(join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28093,c_50,c_49]) ).
tcf(c_28217,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(zero,complement(join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28216,c_107]) ).
tcf(c_28218,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),converse(complement(converse(join(composition(X1,top),X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28087,c_50,c_49]) ).
tcf(c_28219,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,converse(complement(converse(join(composition(X1,top),X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28218,c_107]) ).
tcf(c_28220,plain,
! [X0: $i] : composition(join(iPr_def_10,complement(join(complement(join(X0,iPr_def_11)),composition(complement(join(iPr_def_11,complement(X0))),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28047,c_50,c_49]) ).
tcf(c_28221,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(X1,composition(X0,top)),complement(composition(join(one,X1),composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28091,c_50,c_49]) ).
tcf(c_28222,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(composition(X1,composition(X0,top)),complement(composition(join(X1,one),composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28090,c_50,c_49]) ).
tcf(c_28223,plain,
composition(join(iPr_def_11,join(iPr_def_11,join(complement(composition(iPr_def_11,top)),complement(join(iPr_def_11,complement(composition(iPr_def_11,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28071,c_50,c_49]) ).
tcf(c_28224,plain,
composition(join(iPr_def_11,join(iPr_def_11,join(complement(iPr_def_12),zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28223,c_107,c_116,c_4192]) ).
tcf(c_28225,plain,
composition(join(iPr_def_11,join(iPr_def_11,join(zero,complement(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28224,c_50,c_49]) ).
tcf(c_28226,plain,
! [X0: $i,X1: $i] : composition(join(complement(X0),complement(join(complement(X0),composition(composition(converse(X1),complement(composition(X1,X0))),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28044,c_50,c_49]) ).
tcf(c_28227,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,complement(join(composition(X2,top),X1))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_28135,c_50,c_49]) ).
tcf(c_28228,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(complement(join(composition(X1,top),X0)),X2))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_28133,c_50,c_49]) ).
tcf(c_28229,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(complement(composition(X0,top)),composition(converse(X1),complement(composition(X1,complement(composition(X0,top))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28094,c_50,c_49]) ).
tcf(c_28230,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(converse(X0),join(X1,join(X2,complement(join(composition(X2,top),X1))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X0))),
inference(theory_normalisation,[status(thm)],[c_28144,c_50,c_49]) ).
tcf(c_28231,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(complement(join(composition(X1,top),X0)),converse(X2)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X2))),
inference(theory_normalisation,[status(thm)],[c_28140,c_50,c_49]) ).
tcf(c_28232,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(X1,complement(join(composition(X1,top),X0)))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_28132,c_19078]) ).
tcf(c_28233,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(composition(X2,iPr_def_10),complement(join(composition(X1,top),join(composition(X2,iPr_def_10),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28126,c_50,c_49]) ).
tcf(c_28234,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(composition(X2,iPr_def_10),complement(join(composition(X2,iPr_def_10),join(composition(X1,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28125,c_50,c_49]) ).
tcf(c_28235,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(composition(X1,iPr_def_10),join(X2,complement(join(composition(X1,iPr_def_10),join(composition(X2,top),X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28124,c_50,c_49]) ).
tcf(c_28236,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(X2,complement(join(iPr_def_10,join(composition(join(X1,X2),top),X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28111,c_50,c_49]) ).
tcf(c_28237,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(composition(X1,top),complement(join(composition(join(iPr_def_10,X1),composition(top,top)),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28110,c_50,c_49]) ).
tcf(c_28238,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(composition(X1,top),complement(join(composition(join(iPr_def_10,X1),top),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_28237,c_11762]) ).
tcf(c_28239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(join(composition(X3,top),X2))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,composition(X1,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28143,c_50,c_49]) ).
tcf(c_28240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(X0,X1),join(X2,join(X3,complement(join(composition(X3,top),X2))))),converse(iPr_def_10)) = composition(join(top,composition(X0,X1)),converse(iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_28239,c_22936]) ).
tcf(c_28241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(X1,join(complement(join(composition(X1,top),X0)),composition(X2,X3)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X2,composition(X3,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28130,c_50,c_49]) ).
tcf(c_28242,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(X2,complement(join(composition(X2,top),X1))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(X2,complement(join(composition(X2,top),X1)))))),
inference(theory_normalisation,[status(thm)],[c_28127,c_50,c_49]) ).
tcf(c_28298,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),one),X2) = join(X0,join(composition(X1,one),X2)),
inference(superposition,[status(thm)],[c_53,c_398]) ).
tcf(c_28300,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_116,c_398]) ).
tcf(c_28301,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_193,c_398]) ).
tcf(c_28302,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(X0),X1),complement(composition(X0,top))),X2) = join(zero,join(composition(X1,complement(composition(X0,top))),X2)),
inference(superposition,[status(thm)],[c_9545,c_398]) ).
tcf(c_28303,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(iPr_def_11),X0),complement(iPr_def_12)),X1) = join(zero,join(composition(X0,complement(iPr_def_12)),X1)),
inference(superposition,[status(thm)],[c_1359,c_398]) ).
tcf(c_28304,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(iPr_def_10),X0),iPr_def_11),X1) = join(zero,join(composition(X0,iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_1360,c_398]) ).
tcf(c_28305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(converse(composition(X0,X1)),X2),join(composition(X3,composition(converse(X0),X2)),X4)) = join(composition(join(converse(X1),X3),composition(converse(X0),X2)),X4),
inference(superposition,[status(thm)],[c_381,c_398]) ).
tcf(c_28306,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),join(composition(X1,composition(top,X0)),X2)) = join(composition(join(iPr_def_11,X1),composition(top,X0)),X2),
inference(superposition,[status(thm)],[c_382,c_398]) ).
tcf(c_28307,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),join(composition(X1,composition(top,X0)),X2)) = join(composition(join(iPr_def_10,X1),composition(top,X0)),X2),
inference(superposition,[status(thm)],[c_383,c_398]) ).
tcf(c_28308,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),join(composition(X1,top),X2)) = join(composition(join(join(iPr_def_11,X0),X1),top),X2),
inference(superposition,[status(thm)],[c_391,c_398]) ).
tcf(c_28309,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_10,composition(X0,top)),join(composition(X1,top),X2)) = join(composition(join(join(iPr_def_10,X0),X1),top),X2),
inference(superposition,[status(thm)],[c_392,c_398]) ).
tcf(c_28310,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),join(composition(X1,top),X2)) = join(composition(join(join(X0,iPr_def_11),X1),top),X2),
inference(superposition,[status(thm)],[c_402,c_398]) ).
tcf(c_28311,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_10,composition(X0,top)),join(composition(X1,top),X2)) = join(composition(join(join(X0,iPr_def_10),X1),top),X2),
inference(superposition,[status(thm)],[c_401,c_398]) ).
tcf(c_28312,plain,
! [X0: $i,X1: $i] : join(composition(join(top,X0),top),X1) = join(top,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_11762,c_398]) ).
tcf(c_28313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(iPr_def_10,X0),composition(top,X1)),join(composition(X2,X1),X3)) = join(composition(join(join(iPr_def_10,composition(X0,top)),X2),X1),X3),
inference(superposition,[status(thm)],[c_445,c_398]) ).
tcf(c_28314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(iPr_def_10,composition(join(X0,X1),top)),join(composition(X2,top),X3)) = join(composition(join(join(X0,join(iPr_def_10,X1)),X2),top),X3),
inference(superposition,[status(thm)],[c_9109,c_398]) ).
tcf(c_28315,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(join(iPr_def_10,X0)),X1),complement(join(iPr_def_10,composition(X0,top)))),X2) = join(zero,join(composition(X1,complement(join(iPr_def_10,composition(X0,top)))),X2)),
inference(superposition,[status(thm)],[c_9562,c_398]) ).
tcf(c_28317,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_12,X0),top),X1) = join(iPr_def_12,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_11779,c_398]) ).
tcf(c_28318,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(converse(iPr_def_10),X0),X1),iPr_def_11),X2) = join(composition(X0,iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_16856,c_398]) ).
tcf(c_28319,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),zero),X2) = join(zero,join(composition(X1,zero),X2)),
inference(superposition,[status(thm)],[c_8201,c_398]) ).
tcf(c_28320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(X0,composition(X1,X0)),join(composition(X2,X0),X3)) = join(composition(join(join(one,X1),X2),X0),X3),
inference(superposition,[status(thm)],[c_1767,c_398]) ).
tcf(c_28322,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(zero,X0),X1),X2) = join(zero,join(composition(X0,X1),X2)),
inference(superposition,[status(thm)],[c_8217,c_398]) ).
tcf(c_28323,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_10),X0),composition(iPr_def_11,X1)),X2) = join(zero,join(composition(X0,composition(iPr_def_11,X1)),X2)),
inference(superposition,[status(thm)],[c_8222,c_398]) ).
tcf(c_28325,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(iPr_def_11),X0),iPr_def_10),X1) = join(zero,join(composition(X0,iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_3196,c_398]) ).
tcf(c_28326,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_11),X0),composition(complement(iPr_def_12),X1)),X2) = join(zero,join(composition(X0,composition(complement(iPr_def_12),X1)),X2)),
inference(superposition,[status(thm)],[c_12534,c_398]) ).
tcf(c_28327,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(complement(iPr_def_12)),X0),iPr_def_11),X1) = join(zero,join(composition(X0,iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_2775,c_398]) ).
tcf(c_28328,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(converse(iPr_def_11),X0),X1),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_18471,c_398]) ).
tcf(c_28329,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_11),X0),composition(iPr_def_10,X1)),X2) = join(zero,join(composition(X0,composition(iPr_def_10,X1)),X2)),
inference(superposition,[status(thm)],[c_8221,c_398]) ).
tcf(c_28331,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(complement(iPr_def_12)),X0),composition(iPr_def_11,X1)),X2) = join(zero,join(composition(X0,composition(iPr_def_11,X1)),X2)),
inference(superposition,[status(thm)],[c_12795,c_398]) ).
tcf(c_28332,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(iPr_def_10),X0),iPr_def_12),X1) = join(zero,join(composition(X0,iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_7055,c_398]) ).
tcf(c_28333,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_10),X0),composition(iPr_def_12,X1)),X2) = join(zero,join(composition(X0,composition(iPr_def_12,X1)),X2)),
inference(superposition,[status(thm)],[c_8911,c_398]) ).
tcf(c_28334,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(composition(iPr_def_11,X0)),X1),iPr_def_10),X2) = join(zero,join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_13261,c_398]) ).
tcf(c_28335,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(converse(iPr_def_10),X0),X1),iPr_def_12),X2) = join(composition(X0,iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_20452,c_398]) ).
tcf(c_28337,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(iPr_def_12),X0),iPr_def_10),X1) = join(zero,join(composition(X0,iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_7459,c_398]) ).
tcf(c_28338,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(composition(iPr_def_10,X0)),X1),iPr_def_11),X2) = join(zero,join(composition(X1,iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_12931,c_398]) ).
tcf(c_28339,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(converse(iPr_def_12),X0),X1),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_20661,c_398]) ).
tcf(c_28340,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_12),X0),composition(iPr_def_10,X1)),X2) = join(zero,join(composition(X0,composition(iPr_def_10,X1)),X2)),
inference(superposition,[status(thm)],[c_8927,c_398]) ).
tcf(c_28342,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(composition(iPr_def_12,X0)),X1),iPr_def_10),X2) = join(zero,join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_8919,c_398]) ).
tcf(c_28343,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(composition(iPr_def_10,X0)),X1),iPr_def_12),X2) = join(zero,join(composition(X1,iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_8938,c_398]) ).
tcf(c_28344,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),complement(composition(converse(X0),top))),X2) = join(zero,join(composition(X1,complement(composition(converse(X0),top))),X2)),
inference(superposition,[status(thm)],[c_9546,c_398]) ).
tcf(c_28345,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(complement(composition(X0,top))),X1),X0),X2) = join(zero,join(composition(X1,X0),X2)),
inference(superposition,[status(thm)],[c_9580,c_398]) ).
tcf(c_28346,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,top),X1)) = join(composition(join(converse(iPr_def_12),X0),top),X1),
inference(superposition,[status(thm)],[c_18563,c_398]) ).
tcf(c_28347,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_10),join(composition(X0,top),X1)) = join(composition(join(converse(iPr_def_10),X0),top),X1),
inference(superposition,[status(thm)],[c_19820,c_398]) ).
tcf(c_28348,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),join(composition(X1,top),X2)) = join(composition(join(join(iPr_def_12,X0),X1),top),X2),
inference(superposition,[status(thm)],[c_11839,c_398]) ).
tcf(c_28349,plain,
! [X0: $i,X1: $i] : join(composition(join(complement(iPr_def_12),X0),top),X1) = join(iPr_def_10,join(composition(X0,top),X1)),
inference(superposition,[status(thm)],[c_15143,c_398]) ).
tcf(c_28350,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(iPr_def_12,composition(X0,top)),join(composition(X1,top),X2)) = join(composition(join(join(X0,iPr_def_12),X1),top),X2),
inference(superposition,[status(thm)],[c_11846,c_398]) ).
tcf(c_28351,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,iPr_def_12),X1)) = join(composition(join(top,X0),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_19797,c_398]) ).
tcf(c_28352,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),join(composition(X1,composition(top,X0)),X2)) = join(composition(join(iPr_def_12,X1),composition(top,X0)),X2),
inference(superposition,[status(thm)],[c_11840,c_398]) ).
tcf(c_28353,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(iPr_def_12),X0),complement(iPr_def_12)),X1) = join(zero,join(composition(X0,complement(iPr_def_12)),X1)),
inference(superposition,[status(thm)],[c_11843,c_398]) ).
tcf(c_28354,plain,
! [X0: $i,X1: $i] : join(composition(join(converse(complement(iPr_def_12)),X0),iPr_def_12),X1) = join(zero,join(composition(X0,iPr_def_12),X1)),
inference(superposition,[status(thm)],[c_12194,c_398]) ).
tcf(c_28355,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,top),X1)) = join(composition(join(converse(iPr_def_11),X0),top),X1),
inference(superposition,[status(thm)],[c_18545,c_398]) ).
tcf(c_28356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(converse(composition(iPr_def_12,X0)),X1),composition(iPr_def_10,X2)),X3) = join(zero,join(composition(X1,composition(iPr_def_10,X2)),X3)),
inference(superposition,[status(thm)],[c_25971,c_398]) ).
tcf(c_28357,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),join(composition(X1,composition(top,X0)),X2)) = join(composition(join(complement(iPr_def_12),X1),composition(top,X0)),X2),
inference(superposition,[status(thm)],[c_15252,c_398]) ).
tcf(c_28358,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(join(iPr_def_10,X0)),X1),iPr_def_11),X2) = join(composition(converse(X0),iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_16861,c_398]) ).
tcf(c_28359,plain,
! [X0: $i,X1: $i] : join(composition(join(complement(converse(iPr_def_10)),X0),iPr_def_11),X1) = join(composition(top,iPr_def_11),join(composition(X0,iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_16862,c_398]) ).
tcf(c_28360,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(X0,one),X1),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_17551,c_398]) ).
tcf(c_28361,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(one,X0),X1),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_17550,c_398]) ).
tcf(c_28362,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(composition(X0,converse(iPr_def_10)),X1)) = join(composition(join(top,X0),converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_16909,c_398]) ).
tcf(c_28363,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(composition(X0,converse(iPr_def_11)),X1)) = join(composition(join(top,X0),converse(iPr_def_11)),X1),
inference(superposition,[status(thm)],[c_16908,c_398]) ).
tcf(c_28364,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(composition(X0,converse(iPr_def_12)),X1)) = join(composition(join(top,X0),converse(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_16918,c_398]) ).
tcf(c_28365,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(composition(X0,converse(complement(iPr_def_12))),X1)) = join(composition(join(top,X0),converse(complement(iPr_def_12))),X1),
inference(superposition,[status(thm)],[c_16923,c_398]) ).
tcf(c_28366,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),X0),join(composition(X1,composition(converse(iPr_def_11),X0)),X2)) = join(composition(join(top,X1),composition(converse(iPr_def_11),X0)),X2),
inference(superposition,[status(thm)],[c_16989,c_398]) ).
tcf(c_28367,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(iPr_def_11)),join(composition(X0,converse(iPr_def_12)),X1)) = join(composition(join(iPr_def_10,X0),converse(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_17002,c_398]) ).
tcf(c_28368,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_10),join(composition(X0,iPr_def_10),X1)) = join(composition(join(converse(iPr_def_10),X0),iPr_def_10),X1),
inference(superposition,[status(thm)],[c_19078,c_398]) ).
tcf(c_28369,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_10),X0),join(composition(X1,composition(converse(iPr_def_10),X0)),X2)) = join(composition(join(top,X1),composition(converse(iPr_def_10),X0)),X2),
inference(superposition,[status(thm)],[c_17014,c_398]) ).
tcf(c_28370,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),join(composition(X0,converse(iPr_def_10)),X1)) = join(composition(join(complement(iPr_def_12),X0),converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_17023,c_398]) ).
tcf(c_28371,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_11,converse(iPr_def_10)),join(composition(X0,converse(iPr_def_10)),X1)) = join(composition(join(iPr_def_12,X0),converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_17025,c_398]) ).
tcf(c_28372,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,composition(converse(iPr_def_11),X0)),join(composition(X1,composition(converse(iPr_def_12),X0)),X2)) = join(composition(join(iPr_def_10,X1),composition(converse(iPr_def_12),X0)),X2),
inference(superposition,[status(thm)],[c_17451,c_398]) ).
tcf(c_28373,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(join(X0,iPr_def_10)),X1),iPr_def_11),X2) = join(composition(converse(X0),iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_17287,c_398]) ).
tcf(c_28374,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,iPr_def_11),X1)) = join(composition(join(converse(iPr_def_11),X0),iPr_def_11),X1),
inference(superposition,[status(thm)],[c_17362,c_398]) ).
tcf(c_28375,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,iPr_def_11),X1)) = join(composition(join(converse(iPr_def_12),X0),iPr_def_11),X1),
inference(superposition,[status(thm)],[c_17360,c_398]) ).
tcf(c_28376,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),X0),join(composition(X1,composition(converse(iPr_def_12),X0)),X2)) = join(composition(join(top,X1),composition(converse(iPr_def_12),X0)),X2),
inference(superposition,[status(thm)],[c_17470,c_398]) ).
tcf(c_28377,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),join(composition(X0,converse(complement(iPr_def_12))),X1)) = join(composition(join(iPr_def_10,X0),converse(complement(iPr_def_12))),X1),
inference(superposition,[status(thm)],[c_17508,c_398]) ).
tcf(c_28378,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,iPr_def_10)),join(composition(X1,converse(composition(X0,iPr_def_10))),X2)) = join(composition(join(top,X1),converse(composition(X0,iPr_def_10))),X2),
inference(superposition,[status(thm)],[c_17604,c_398]) ).
tcf(c_28379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(join(X0,join(X1,one)),X2),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(superposition,[status(thm)],[c_17745,c_398]) ).
tcf(c_28380,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,iPr_def_12)),join(composition(X1,converse(composition(X0,iPr_def_12))),X2)) = join(composition(join(top,X1),converse(composition(X0,iPr_def_12))),X2),
inference(superposition,[status(thm)],[c_17788,c_398]) ).
tcf(c_28381,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_12,X0),complement(composition(top,iPr_def_11))),X1) = join(zero,join(composition(X0,complement(composition(top,iPr_def_11))),X1)),
inference(superposition,[status(thm)],[c_19198,c_398]) ).
tcf(c_28382,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,iPr_def_12),X1)) = join(composition(join(converse(iPr_def_11),X0),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20581,c_398]) ).
tcf(c_28383,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_11,X0),complement(composition(top,iPr_def_11))),X1) = join(zero,join(composition(X0,complement(composition(top,iPr_def_11))),X1)),
inference(superposition,[status(thm)],[c_18560,c_398]) ).
tcf(c_28384,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(top,X0),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2) = join(zero,join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2)),
inference(superposition,[status(thm)],[c_18222,c_398]) ).
tcf(c_28385,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(iPr_def_10,X0),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2) = join(zero,join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2)),
inference(superposition,[status(thm)],[c_18823,c_398]) ).
tcf(c_28386,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(join(iPr_def_11,X0)),X1),iPr_def_10),X2) = join(composition(converse(X0),iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_18476,c_398]) ).
tcf(c_28387,plain,
! [X0: $i,X1: $i] : join(composition(join(complement(converse(iPr_def_11)),X0),iPr_def_10),X1) = join(composition(top,iPr_def_10),join(composition(X0,iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_18477,c_398]) ).
tcf(c_28388,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(join(X0,iPr_def_11)),X1),iPr_def_10),X2) = join(composition(converse(X0),iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_18951,c_398]) ).
tcf(c_28389,plain,
! [X0: $i,X1: $i] : join(composition(join(iPr_def_10,X0),complement(composition(top,iPr_def_10))),X1) = join(zero,join(composition(X0,complement(composition(top,iPr_def_10))),X1)),
inference(superposition,[status(thm)],[c_19836,c_398]) ).
tcf(c_28390,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,composition(iPr_def_11,X0)),join(composition(X1,composition(iPr_def_12,X0)),X2)) = join(composition(join(top,X1),composition(iPr_def_12,X0)),X2),
inference(superposition,[status(thm)],[c_20386,c_398]) ).
tcf(c_28391,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,iPr_def_11),join(composition(X0,iPr_def_12),X1)) = join(composition(join(iPr_def_10,X0),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_19869,c_398]) ).
tcf(c_28392,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,composition(iPr_def_11,X0)),join(composition(X1,composition(iPr_def_12,X0)),X2)) = join(composition(join(iPr_def_10,X1),composition(iPr_def_12,X0)),X2),
inference(superposition,[status(thm)],[c_20422,c_398]) ).
tcf(c_28393,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(join(iPr_def_10,X0)),X1),iPr_def_12),X2) = join(composition(converse(X0),iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_20457,c_398]) ).
tcf(c_28394,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(join(X0,iPr_def_10)),X1),iPr_def_12),X2) = join(composition(converse(X0),iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_20498,c_398]) ).
tcf(c_28395,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,iPr_def_12),X1)) = join(composition(join(converse(iPr_def_12),X0),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20579,c_398]) ).
tcf(c_28396,plain,
! [X0: $i,X1: $i] : join(composition(join(complement(converse(iPr_def_12)),X0),iPr_def_10),X1) = join(composition(top,iPr_def_10),join(composition(X0,iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_20668,c_398]) ).
tcf(c_28397,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(composition(X0,iPr_def_10)),X1),complement(composition(X0,iPr_def_10))),X2) = join(zero,join(composition(X1,complement(composition(X0,iPr_def_10))),X2)),
inference(superposition,[status(thm)],[c_22506,c_398]) ).
tcf(c_28398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),join(composition(X2,top),X3)) = join(composition(join(join(composition(X0,iPr_def_10),X1),X2),top),X3),
inference(superposition,[status(thm)],[c_22679,c_398]) ).
tcf(c_28399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),join(composition(X2,converse(iPr_def_10)),X3)) = join(composition(join(join(composition(X1,top),X0),X2),converse(iPr_def_10)),X3),
inference(superposition,[status(thm)],[c_25205,c_398]) ).
tcf(c_28400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,iPr_def_10),composition(X1,top)),join(composition(X2,top),X3)) = join(composition(join(join(X1,composition(X0,iPr_def_10)),X2),top),X3),
inference(superposition,[status(thm)],[c_23730,c_398]) ).
tcf(c_28402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(converse(join(composition(X0,iPr_def_10),X1)),X2),complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X3) = join(zero,join(composition(X2,complement(join(composition(X0,iPr_def_10),composition(X1,top)))),X3)),
inference(superposition,[status(thm)],[c_23788,c_398]) ).
tcf(c_28403,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(X0,complement(composition(X0,top))),X1),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_25280,c_398]) ).
tcf(c_28404,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(X0,composition(top,complement(composition(X0,top)))),X1),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_25283,c_398]) ).
tcf(c_28405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(join(X0,join(X1,complement(composition(X1,top)))),X2),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(superposition,[status(thm)],[c_25285,c_398]) ).
tcf(c_28406,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(X0,converse(complement(composition(top,converse(X0))))),X1),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_25287,c_398]) ).
tcf(c_28407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(join(X0,join(X1,complement(composition(X0,top)))),X2),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(superposition,[status(thm)],[c_25289,c_398]) ).
tcf(c_28408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(join(X0,join(X1,join(X2,complement(composition(X2,top))))),X3),converse(iPr_def_10)),X4) = join(converse(iPr_def_10),join(composition(X3,converse(iPr_def_10)),X4)),
inference(superposition,[status(thm)],[c_25292,c_398]) ).
tcf(c_28409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(join(X0,join(X1,converse(complement(composition(top,converse(X0)))))),X2),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(superposition,[status(thm)],[c_25296,c_398]) ).
tcf(c_28410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(join(X0,join(X1,complement(join(composition(X1,top),X0)))),X2),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(superposition,[status(thm)],[c_25298,c_398]) ).
tcf(c_28411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(X2,composition(X3,X1))) = join(composition(join(X0,X3),X1),X2),
inference(superposition,[status(thm)],[c_49,c_398]) ).
tcf(c_28414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),composition(X3,X2)) = join(composition(X0,X2),composition(join(X1,X3),X2)),
inference(superposition,[status(thm)],[c_54,c_398]) ).
tcf(c_28415,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),complement(composition(X1,X2))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_59,c_398]) ).
tcf(c_28416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(X2,join(composition(X3,X1),X4))) = join(composition(join(X0,X3),X1),join(X2,X4)),
inference(superposition,[status(thm)],[c_191,c_398]) ).
tcf(c_28417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,complement(join(composition(X1,X2),X3)))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_375,c_398]) ).
tcf(c_28419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(X1,X2)),composition(join(composition(X3,X1),X4),X2)) = join(composition(join(X0,X3),composition(X1,X2)),composition(X4,X2)),
inference(superposition,[status(thm)],[c_388,c_398]) ).
tcf(c_28420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,X1),X2),composition(X3,composition(X4,X2))) = join(composition(X0,X2),composition(join(X1,composition(X3,X4)),X2)),
inference(superposition,[status(thm)],[c_393,c_398]) ).
tcf(c_28421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(X1)),composition(join(X2,converse(X3)),converse(X1))) = join(composition(join(X0,X2),converse(X1)),converse(composition(X1,X3))),
inference(superposition,[status(thm)],[c_395,c_398]) ).
tcf(c_28423,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),top) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_7015,c_398]) ).
tcf(c_28424,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = join(composition(join(X0,X2),X1),zero),
inference(superposition,[status(thm)],[c_1429,c_398]) ).
tcf(c_28425,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),converse(complement(converse(composition(X1,X2))))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_2345,c_398]) ).
tcf(c_28426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,converse(complement(converse(join(composition(X1,X2),X3)))))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_9717,c_398]) ).
tcf(c_28427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(converse(complement(converse(composition(X1,X2)))),X3)) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_21130,c_398]) ).
tcf(c_28428,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),composition(X1,X2)) = join(composition(X0,X2),composition(X1,X2)),
inference(superposition,[status(thm)],[c_7769,c_398]) ).
tcf(c_28429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),composition(X3,composition(X1,X2))) = join(composition(X0,X2),composition(join(X3,one),composition(X1,X2))),
inference(superposition,[status(thm)],[c_1782,c_398]) ).
tcf(c_28430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),composition(X3,composition(X1,X2))) = join(composition(X0,X2),composition(join(one,X3),composition(X1,X2))),
inference(superposition,[status(thm)],[c_1767,c_398]) ).
tcf(c_28431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,complement(composition(X1,X2)))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_7426,c_398]) ).
tcf(c_28432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,X1),X2),join(X3,join(complement(join(composition(X1,X2),X3)),X4))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_7392,c_398]) ).
tcf(c_28433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),composition(converse(X3),complement(composition(X3,complement(composition(X1,X2)))))) = join(composition(X0,X2),composition(X1,X2)),
inference(superposition,[status(thm)],[c_7774,c_398]) ).
tcf(c_28434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(composition(X1,X2),X3)) = join(composition(X0,X2),join(composition(X1,X2),X3)),
inference(superposition,[status(thm)],[c_7878,c_398]) ).
tcf(c_28435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,converse(complement(converse(composition(X1,X2)))))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_21139,c_398]) ).
tcf(c_28436,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),composition(complement(one),composition(X1,X2))) = join(composition(X0,X2),composition(top,composition(X1,X2))),
inference(superposition,[status(thm)],[c_11631,c_398]) ).
tcf(c_28437,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),composition(top,complement(composition(X1,X2)))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_11752,c_398]) ).
tcf(c_28438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,X1),X2),join(X3,join(X4,complement(join(composition(X1,X2),X3))))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_12854,c_398]) ).
tcf(c_28442,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),one),X2) = join(composition(X0,one),join(X1,X2)),
inference(superposition,[status(thm)],[c_53,c_398]) ).
tcf(c_28444,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_11),top),X1) = join(composition(X0,top),join(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_116,c_398]) ).
tcf(c_28445,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_10),top),X1) = join(composition(X0,top),join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_193,c_398]) ).
tcf(c_28446,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(X1)),complement(composition(X1,top))),X2) = join(composition(X0,complement(composition(X1,top))),join(zero,X2)),
inference(superposition,[status(thm)],[c_9545,c_398]) ).
tcf(c_28447,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_11)),complement(iPr_def_12)),X1) = join(composition(X0,complement(iPr_def_12)),join(zero,X1)),
inference(superposition,[status(thm)],[c_1359,c_398]) ).
tcf(c_28448,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_10)),iPr_def_11),X1) = join(composition(X0,iPr_def_11),join(zero,X1)),
inference(superposition,[status(thm)],[c_1360,c_398]) ).
tcf(c_28449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,composition(converse(X1),X2)),join(composition(converse(composition(X1,X3)),X2),X4)) = join(composition(join(X0,converse(X3)),composition(converse(X1),X2)),X4),
inference(superposition,[status(thm)],[c_381,c_398]) ).
tcf(c_28450,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),join(composition(iPr_def_12,X1),X2)) = join(composition(join(X0,iPr_def_11),composition(top,X1)),X2),
inference(superposition,[status(thm)],[c_382,c_398]) ).
tcf(c_28451,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),join(composition(iPr_def_10,X1),X2)) = join(composition(join(X0,iPr_def_10),composition(top,X1)),X2),
inference(superposition,[status(thm)],[c_383,c_398]) ).
tcf(c_28452,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(join(iPr_def_12,composition(X1,top)),X2)) = join(composition(join(X0,join(iPr_def_11,X1)),top),X2),
inference(superposition,[status(thm)],[c_391,c_398]) ).
tcf(c_28453,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(join(iPr_def_10,composition(X1,top)),X2)) = join(composition(join(X0,join(iPr_def_10,X1)),top),X2),
inference(superposition,[status(thm)],[c_392,c_398]) ).
tcf(c_28454,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(join(iPr_def_12,composition(X1,top)),X2)) = join(composition(join(X0,join(X1,iPr_def_11)),top),X2),
inference(superposition,[status(thm)],[c_402,c_398]) ).
tcf(c_28455,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(join(iPr_def_10,composition(X1,top)),X2)) = join(composition(join(X0,join(X1,iPr_def_10)),top),X2),
inference(superposition,[status(thm)],[c_401,c_398]) ).
tcf(c_28456,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,top),top),X1) = join(composition(X0,top),join(top,X1)),
inference(superposition,[status(thm)],[c_11762,c_398]) ).
tcf(c_28457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(join(iPr_def_10,X2),composition(top,X1)),X3)) = join(composition(join(X0,join(iPr_def_10,composition(X2,top))),X1),X3),
inference(superposition,[status(thm)],[c_445,c_398]) ).
tcf(c_28458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(join(iPr_def_10,composition(join(X1,X2),top)),X3)) = join(composition(join(X0,join(X1,join(iPr_def_10,X2))),top),X3),
inference(superposition,[status(thm)],[c_9109,c_398]) ).
tcf(c_28459,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(X1,top)))),X2) = join(composition(X0,complement(join(iPr_def_10,composition(X1,top)))),join(zero,X2)),
inference(superposition,[status(thm)],[c_9562,c_398]) ).
tcf(c_28460,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),join(X1,X2)) = join(composition(join(X0,one),X1),X2),
inference(superposition,[status(thm)],[c_1708,c_398]) ).
tcf(c_28461,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_12),top),X1) = join(composition(X0,top),join(iPr_def_12,X1)),
inference(superposition,[status(thm)],[c_11779,c_398]) ).
tcf(c_28462,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(converse(iPr_def_10),X1)),iPr_def_11),X2) = join(composition(X0,iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_16856,c_398]) ).
tcf(c_28463,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),zero),X2) = join(composition(X0,zero),join(zero,X2)),
inference(superposition,[status(thm)],[c_8201,c_398]) ).
tcf(c_28464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(join(X1,composition(X2,X1)),X3)) = join(composition(join(X0,join(one,X2)),X1),X3),
inference(superposition,[status(thm)],[c_1767,c_398]) ).
tcf(c_28465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(join(X1,composition(X2,X1)),X3)) = join(composition(join(X0,join(X2,one)),X1),X3),
inference(superposition,[status(thm)],[c_1782,c_398]) ).
tcf(c_28466,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,zero),X1),X2) = join(composition(X0,X1),join(zero,X2)),
inference(superposition,[status(thm)],[c_8217,c_398]) ).
tcf(c_28467,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_10)),composition(iPr_def_11,X1)),X2) = join(composition(X0,composition(iPr_def_11,X1)),join(zero,X2)),
inference(superposition,[status(thm)],[c_8222,c_398]) ).
tcf(c_28468,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,converse(iPr_def_10))),iPr_def_11),X2) = join(composition(X0,iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_16858,c_398]) ).
tcf(c_28469,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_11)),iPr_def_10),X1) = join(composition(X0,iPr_def_10),join(zero,X1)),
inference(superposition,[status(thm)],[c_3196,c_398]) ).
tcf(c_28470,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_11)),composition(complement(iPr_def_12),X1)),X2) = join(composition(X0,composition(complement(iPr_def_12),X1)),join(zero,X2)),
inference(superposition,[status(thm)],[c_12534,c_398]) ).
tcf(c_28471,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(complement(iPr_def_12))),iPr_def_11),X1) = join(composition(X0,iPr_def_11),join(zero,X1)),
inference(superposition,[status(thm)],[c_2775,c_398]) ).
tcf(c_28472,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(converse(iPr_def_11),X1)),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_18471,c_398]) ).
tcf(c_28473,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_11)),composition(iPr_def_10,X1)),X2) = join(composition(X0,composition(iPr_def_10,X1)),join(zero,X2)),
inference(superposition,[status(thm)],[c_8221,c_398]) ).
tcf(c_28474,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,converse(iPr_def_11))),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_18473,c_398]) ).
tcf(c_28475,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(complement(iPr_def_12))),composition(iPr_def_11,X1)),X2) = join(composition(X0,composition(iPr_def_11,X1)),join(zero,X2)),
inference(superposition,[status(thm)],[c_12795,c_398]) ).
tcf(c_28476,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_10)),iPr_def_12),X1) = join(composition(X0,iPr_def_12),join(zero,X1)),
inference(superposition,[status(thm)],[c_7055,c_398]) ).
tcf(c_28477,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_10)),composition(iPr_def_12,X1)),X2) = join(composition(X0,composition(iPr_def_12,X1)),join(zero,X2)),
inference(superposition,[status(thm)],[c_8911,c_398]) ).
tcf(c_28478,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_11,X1))),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(zero,X2)),
inference(superposition,[status(thm)],[c_13261,c_398]) ).
tcf(c_28479,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(converse(iPr_def_10),X1)),iPr_def_12),X2) = join(composition(X0,iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_20452,c_398]) ).
tcf(c_28480,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,converse(iPr_def_10))),iPr_def_12),X2) = join(composition(X0,iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_20454,c_398]) ).
tcf(c_28481,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_12)),iPr_def_10),X1) = join(composition(X0,iPr_def_10),join(zero,X1)),
inference(superposition,[status(thm)],[c_7459,c_398]) ).
tcf(c_28482,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_11),X2) = join(composition(X0,iPr_def_11),join(zero,X2)),
inference(superposition,[status(thm)],[c_12931,c_398]) ).
tcf(c_28483,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(converse(iPr_def_12),X1)),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_20661,c_398]) ).
tcf(c_28484,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_12)),composition(iPr_def_10,X1)),X2) = join(composition(X0,composition(iPr_def_10,X1)),join(zero,X2)),
inference(superposition,[status(thm)],[c_8927,c_398]) ).
tcf(c_28485,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,converse(iPr_def_12))),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_20664,c_398]) ).
tcf(c_28486,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_12,X1))),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(zero,X2)),
inference(superposition,[status(thm)],[c_8919,c_398]) ).
tcf(c_28487,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_12),X2) = join(composition(X0,iPr_def_12),join(zero,X2)),
inference(superposition,[status(thm)],[c_8938,c_398]) ).
tcf(c_28488,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),complement(composition(converse(X1),top))),X2) = join(composition(X0,complement(composition(converse(X1),top))),join(zero,X2)),
inference(superposition,[status(thm)],[c_9546,c_398]) ).
tcf(c_28489,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(complement(composition(X1,top)))),X1),X2) = join(composition(X0,X1),join(zero,X2)),
inference(superposition,[status(thm)],[c_9580,c_398]) ).
tcf(c_28490,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(composition(top,iPr_def_11),X1)) = join(composition(join(X0,converse(iPr_def_12)),top),X1),
inference(superposition,[status(thm)],[c_18563,c_398]) ).
tcf(c_28491,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(composition(top,iPr_def_10),X1)) = join(composition(join(X0,converse(iPr_def_10)),top),X1),
inference(superposition,[status(thm)],[c_19820,c_398]) ).
tcf(c_28492,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(join(iPr_def_12,composition(X1,top)),X2)) = join(composition(join(X0,join(iPr_def_12,X1)),top),X2),
inference(superposition,[status(thm)],[c_11839,c_398]) ).
tcf(c_28493,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,complement(iPr_def_12)),top),X1) = join(composition(X0,top),join(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_15143,c_398]) ).
tcf(c_28494,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,top),join(join(iPr_def_12,composition(X1,top)),X2)) = join(composition(join(X0,join(X1,iPr_def_12)),top),X2),
inference(superposition,[status(thm)],[c_11846,c_398]) ).
tcf(c_28495,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),join(composition(top,iPr_def_11),X1)) = join(composition(join(X0,top),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_19797,c_398]) ).
tcf(c_28496,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),join(composition(iPr_def_12,X1),X2)) = join(composition(join(X0,iPr_def_12),composition(top,X1)),X2),
inference(superposition,[status(thm)],[c_11840,c_398]) ).
tcf(c_28497,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_12)),complement(iPr_def_12)),X1) = join(composition(X0,complement(iPr_def_12)),join(zero,X1)),
inference(superposition,[status(thm)],[c_11843,c_398]) ).
tcf(c_28498,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(complement(iPr_def_12))),iPr_def_12),X1) = join(composition(X0,iPr_def_12),join(zero,X1)),
inference(superposition,[status(thm)],[c_12194,c_398]) ).
tcf(c_28499,plain,
! [X0: $i,X1: $i] : join(composition(X0,top),join(composition(top,iPr_def_11),X1)) = join(composition(join(X0,converse(iPr_def_11)),top),X1),
inference(superposition,[status(thm)],[c_18545,c_398]) ).
tcf(c_28500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(composition(iPr_def_12,X1))),composition(iPr_def_10,X2)),X3) = join(composition(X0,composition(iPr_def_10,X2)),join(zero,X3)),
inference(superposition,[status(thm)],[c_25971,c_398]) ).
tcf(c_28501,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(top,X1)),join(composition(iPr_def_10,X1),X2)) = join(composition(join(X0,complement(iPr_def_12)),composition(top,X1)),X2),
inference(superposition,[status(thm)],[c_15252,c_398]) ).
tcf(c_28502,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(iPr_def_10,X1))),iPr_def_11),X2) = join(composition(X0,iPr_def_11),join(composition(converse(X1),iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_16861,c_398]) ).
tcf(c_28503,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,complement(converse(iPr_def_10))),iPr_def_11),X1) = join(composition(X0,iPr_def_11),join(composition(top,iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_16862,c_398]) ).
tcf(c_28504,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,one)),converse(iPr_def_10)),X2) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_17551,c_398]) ).
tcf(c_28505,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(one,X1)),converse(iPr_def_10)),X2) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_17550,c_398]) ).
tcf(c_28506,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X1)) = join(composition(join(X0,top),converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_16909,c_398]) ).
tcf(c_28507,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_11)),join(converse(iPr_def_12),X1)) = join(composition(join(X0,top),converse(iPr_def_11)),X1),
inference(superposition,[status(thm)],[c_16908,c_398]) ).
tcf(c_28508,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_12)),join(converse(iPr_def_12),X1)) = join(composition(join(X0,top),converse(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_16918,c_398]) ).
tcf(c_28509,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(complement(iPr_def_12))),join(converse(iPr_def_10),X1)) = join(composition(join(X0,top),converse(complement(iPr_def_12))),X1),
inference(superposition,[status(thm)],[c_16923,c_398]) ).
tcf(c_28510,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_11),X1)),join(composition(converse(iPr_def_12),X1),X2)) = join(composition(join(X0,top),composition(converse(iPr_def_11),X1)),X2),
inference(superposition,[status(thm)],[c_16989,c_398]) ).
tcf(c_28511,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_12)),join(composition(iPr_def_10,converse(iPr_def_11)),X1)) = join(composition(join(X0,iPr_def_10),converse(iPr_def_12)),X1),
inference(superposition,[status(thm)],[c_17002,c_398]) ).
tcf(c_28512,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),join(composition(top,iPr_def_10),X1)) = join(composition(join(X0,converse(iPr_def_10)),iPr_def_10),X1),
inference(superposition,[status(thm)],[c_19078,c_398]) ).
tcf(c_28513,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_10),X1)),join(composition(converse(iPr_def_10),X1),X2)) = join(composition(join(X0,top),composition(converse(iPr_def_10),X1)),X2),
inference(superposition,[status(thm)],[c_17014,c_398]) ).
tcf(c_28514,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),join(composition(iPr_def_10,converse(iPr_def_10)),X1)) = join(composition(join(X0,complement(iPr_def_12)),converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_17023,c_398]) ).
tcf(c_28515,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),join(composition(iPr_def_11,converse(iPr_def_10)),X1)) = join(composition(join(X0,iPr_def_12),converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_17025,c_398]) ).
tcf(c_28516,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),join(composition(iPr_def_10,composition(converse(iPr_def_11),X1)),X2)) = join(composition(join(X0,iPr_def_10),composition(converse(iPr_def_12),X1)),X2),
inference(superposition,[status(thm)],[c_17451,c_398]) ).
tcf(c_28517,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(X1,iPr_def_10))),iPr_def_11),X2) = join(composition(X0,iPr_def_11),join(composition(converse(X1),iPr_def_11),X2)),
inference(superposition,[status(thm)],[c_17287,c_398]) ).
tcf(c_28518,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),join(composition(top,iPr_def_11),X1)) = join(composition(join(X0,converse(iPr_def_11)),iPr_def_11),X1),
inference(superposition,[status(thm)],[c_17362,c_398]) ).
tcf(c_28519,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),join(composition(top,iPr_def_11),X1)) = join(composition(join(X0,converse(iPr_def_12)),iPr_def_11),X1),
inference(superposition,[status(thm)],[c_17360,c_398]) ).
tcf(c_28520,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(converse(iPr_def_12),X1)),join(composition(converse(iPr_def_12),X1),X2)) = join(composition(join(X0,top),composition(converse(iPr_def_12),X1)),X2),
inference(superposition,[status(thm)],[c_17470,c_398]) ).
tcf(c_28521,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(complement(iPr_def_12))),join(composition(iPr_def_10,converse(iPr_def_10)),X1)) = join(composition(join(X0,iPr_def_10),converse(complement(iPr_def_12))),X1),
inference(superposition,[status(thm)],[c_17508,c_398]) ).
tcf(c_28522,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(composition(X1,iPr_def_10))),join(converse(composition(X1,iPr_def_10)),X2)) = join(composition(join(X0,top),converse(composition(X1,iPr_def_10))),X2),
inference(superposition,[status(thm)],[c_17604,c_398]) ).
tcf(c_28523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,one))),converse(iPr_def_10)),X3) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X3)),
inference(superposition,[status(thm)],[c_17745,c_398]) ).
tcf(c_28524,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,converse(composition(X1,iPr_def_12))),join(converse(composition(X1,iPr_def_12)),X2)) = join(composition(join(X0,top),converse(composition(X1,iPr_def_12))),X2),
inference(superposition,[status(thm)],[c_17788,c_398]) ).
tcf(c_28525,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_12),complement(composition(top,iPr_def_11))),X1) = join(composition(X0,complement(composition(top,iPr_def_11))),join(zero,X1)),
inference(superposition,[status(thm)],[c_19198,c_398]) ).
tcf(c_28526,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),join(composition(top,iPr_def_11),X1)) = join(composition(join(X0,converse(iPr_def_11)),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20581,c_398]) ).
tcf(c_28527,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_11),complement(composition(top,iPr_def_11))),X1) = join(composition(X0,complement(composition(top,iPr_def_11))),join(zero,X1)),
inference(superposition,[status(thm)],[c_18560,c_398]) ).
tcf(c_28528,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,top),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2) = join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),join(zero,X2)),
inference(superposition,[status(thm)],[c_18222,c_398]) ).
tcf(c_28529,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,iPr_def_10),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2) = join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),join(zero,X2)),
inference(superposition,[status(thm)],[c_18823,c_398]) ).
tcf(c_28530,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(iPr_def_11,X1))),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(converse(X1),iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_18476,c_398]) ).
tcf(c_28531,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,complement(converse(iPr_def_11))),iPr_def_10),X1) = join(composition(X0,iPr_def_10),join(composition(top,iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_18477,c_398]) ).
tcf(c_28532,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(X1,iPr_def_11))),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(converse(X1),iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_18951,c_398]) ).
tcf(c_28533,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_10),complement(composition(top,iPr_def_10))),X1) = join(composition(X0,complement(composition(top,iPr_def_10))),join(zero,X1)),
inference(superposition,[status(thm)],[c_19836,c_398]) ).
tcf(c_28534,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_12,X1)),join(composition(top,composition(iPr_def_11,X1)),X2)) = join(composition(join(X0,top),composition(iPr_def_12,X1)),X2),
inference(superposition,[status(thm)],[c_20386,c_398]) ).
tcf(c_28535,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),join(composition(iPr_def_10,iPr_def_11),X1)) = join(composition(join(X0,iPr_def_10),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_19869,c_398]) ).
tcf(c_28536,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_12,X1)),join(composition(iPr_def_10,composition(iPr_def_11,X1)),X2)) = join(composition(join(X0,iPr_def_10),composition(iPr_def_12,X1)),X2),
inference(superposition,[status(thm)],[c_20422,c_398]) ).
tcf(c_28537,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(iPr_def_10,X1))),iPr_def_12),X2) = join(composition(X0,iPr_def_12),join(composition(converse(X1),iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_20457,c_398]) ).
tcf(c_28538,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(X1,iPr_def_10))),iPr_def_12),X2) = join(composition(X0,iPr_def_12),join(composition(converse(X1),iPr_def_12),X2)),
inference(superposition,[status(thm)],[c_20498,c_398]) ).
tcf(c_28539,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),join(composition(top,iPr_def_11),X1)) = join(composition(join(X0,converse(iPr_def_12)),iPr_def_12),X1),
inference(superposition,[status(thm)],[c_20579,c_398]) ).
tcf(c_28540,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,complement(converse(iPr_def_12))),iPr_def_10),X1) = join(composition(X0,iPr_def_10),join(composition(top,iPr_def_10),X1)),
inference(superposition,[status(thm)],[c_20668,c_398]) ).
tcf(c_28541,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(X1,iPr_def_10))),complement(composition(X1,iPr_def_10))),X2) = join(composition(X0,complement(composition(X1,iPr_def_10))),join(zero,X2)),
inference(superposition,[status(thm)],[c_22506,c_398]) ).
tcf(c_28542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(join(composition(X1,iPr_def_10),composition(X2,top)),X3)) = join(composition(join(X0,join(composition(X1,iPr_def_10),X2)),top),X3),
inference(superposition,[status(thm)],[c_22679,c_398]) ).
tcf(c_28543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,converse(iPr_def_10)),join(composition(join(X1,X2),converse(iPr_def_10)),X3)) = join(composition(join(X0,join(composition(X2,top),X1)),converse(iPr_def_10)),X3),
inference(superposition,[status(thm)],[c_25205,c_398]) ).
tcf(c_28544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(join(composition(X1,iPr_def_10),composition(X2,top)),X3)) = join(composition(join(X0,join(X2,composition(X1,iPr_def_10))),top),X3),
inference(superposition,[status(thm)],[c_23730,c_398]) ).
tcf(c_28545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(join(composition(X1,top),composition(X2,iPr_def_10)),X3)) = join(composition(join(X0,join(X1,composition(X2,iPr_def_10))),top),X3),
inference(superposition,[status(thm)],[c_25650,c_398]) ).
tcf(c_28546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(join(composition(X1,iPr_def_10),X2))),complement(join(composition(X1,iPr_def_10),composition(X2,top)))),X3) = join(composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top)))),join(zero,X3)),
inference(superposition,[status(thm)],[c_23788,c_398]) ).
tcf(c_28547,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,complement(composition(X1,top)))),converse(iPr_def_10)),X2) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_25280,c_398]) ).
tcf(c_28548,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)),X2) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_25283,c_398]) ).
tcf(c_28549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)),X3) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X3)),
inference(superposition,[status(thm)],[c_25285,c_398]) ).
tcf(c_28550,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,converse(complement(composition(top,converse(X1)))))),converse(iPr_def_10)),X2) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_25287,c_398]) ).
tcf(c_28551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,complement(composition(X1,top))))),converse(iPr_def_10)),X3) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X3)),
inference(superposition,[status(thm)],[c_25289,c_398]) ).
tcf(c_28552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)),X4) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X4)),
inference(superposition,[status(thm)],[c_25292,c_398]) ).
tcf(c_28553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,converse(complement(composition(top,converse(X1))))))),converse(iPr_def_10)),X3) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X3)),
inference(superposition,[status(thm)],[c_25296,c_398]) ).
tcf(c_28554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,complement(join(composition(X2,top),X1))))),converse(iPr_def_10)),X3) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X3)),
inference(superposition,[status(thm)],[c_25298,c_398]) ).
tcf(c_28555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(join(composition(X2,X1),X3),join(X4,complement(join(composition(join(X0,X2),X1),X3))))) = top,
inference(superposition,[status(thm)],[c_398,c_12854]) ).
tcf(c_28556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(join(composition(X2,X1),X3),converse(complement(converse(join(composition(join(X0,X2),X1),X3)))))) = top,
inference(superposition,[status(thm)],[c_398,c_9717]) ).
tcf(c_28557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(composition(X0,X1),join(join(composition(X2,X1),X3),iPr_def_11))),complement(join(iPr_def_11,complement(join(composition(join(X0,X2),X1),X3))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_398,c_376]) ).
tcf(c_28558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(join(composition(X2,X1),X3),join(complement(join(composition(join(X0,X2),X1),X3)),X4))) = top,
inference(superposition,[status(thm)],[c_398,c_7392]) ).
tcf(c_28559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(join(X0,X2),X1),X3)) = join(composition(join(X0,X2),X1),X3),
inference(superposition,[status(thm)],[c_398,c_7878]) ).
tcf(c_28560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(join(composition(X2,X1),X3),complement(join(composition(join(X0,X2),X1),X3)))) = top,
inference(superposition,[status(thm)],[c_398,c_375]) ).
tcf(c_28562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(composition(X0,X1),X2),composition(X3,X1)) = join(composition(join(X3,X0),X1),X2),
inference(superposition,[status(thm)],[c_398,c_49]) ).
tcf(c_28566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(X2,join(composition(X3,X1),X4))) = join(X2,join(composition(join(X0,X3),X1),X4)),
inference(superposition,[status(thm)],[c_398,c_191]) ).
tcf(c_28567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,X1),X3)) = join(composition(join(X2,X0),X1),X3),
inference(superposition,[status(thm)],[c_398,c_191]) ).
tcf(c_28568,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),complement(join(composition(X0,X2),composition(X1,X2)))) = top,
inference(superposition,[status(thm)],[c_398,c_375]) ).
tcf(c_28569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(X0),join(composition(join(converse(X1),X2),complement(composition(X1,X0))),X3)) = join(complement(X0),join(composition(X2,complement(composition(X1,X0))),X3)),
inference(superposition,[status(thm)],[c_398,c_362]) ).
tcf(c_28570,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(complement(join(composition(join(X0,X1),X2),iPr_def_11)),top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_398,c_13426]) ).
tcf(c_28571,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(composition(join(X0,X1),X2),iPr_def_11)),complement(join(iPr_def_11,complement(join(composition(X0,X2),composition(X1,X2)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_398,c_376]) ).
tcf(c_28572,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,complement(join(composition(join(X0,X1),X2),iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_398,c_14735]) ).
tcf(c_28573,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(join(X0,X1),X2),iPr_def_11)) = top,
inference(superposition,[status(thm)],[c_398,c_7305]) ).
tcf(c_28574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,X1),X2),join(composition(X3,X2),X4)) = join(composition(X0,X2),join(composition(join(X1,X3),X2),X4)),
inference(superposition,[status(thm)],[c_398,c_398]) ).
tcf(c_28575,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(join(converse(X0),X1),complement(composition(X0,iPr_def_10))),X2)) = join(iPr_def_11,join(composition(X1,complement(composition(X0,iPr_def_10))),X2)),
inference(superposition,[status(thm)],[c_398,c_434]) ).
tcf(c_28576,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),converse(complement(converse(join(composition(X0,X2),composition(X1,X2)))))) = top,
inference(superposition,[status(thm)],[c_398,c_9717]) ).
tcf(c_28577,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(join(X0,X1),X2),one),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_17745]) ).
tcf(c_28578,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(join(X0,X1),X2),iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_398,c_12163]) ).
tcf(c_28579,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),complement(composition(X0,X2))) = top,
inference(superposition,[status(thm)],[c_398,c_7426]) ).
tcf(c_28580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(complement(join(composition(X0,X2),composition(X1,X2))),X3)) = top,
inference(superposition,[status(thm)],[c_398,c_7392]) ).
tcf(c_28581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(composition(join(X1,X2),X3),iPr_def_11))) = top,
inference(superposition,[status(thm)],[c_398,c_7700]) ).
tcf(c_28583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(composition(join(X0,X1),X2),join(iPr_def_11,X3))) = top,
inference(superposition,[status(thm)],[c_398,c_7830]) ).
tcf(c_28584,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X0),X1),X2) = join(composition(X0,X1),X2),
inference(superposition,[status(thm)],[c_398,c_7878]) ).
tcf(c_28585,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),converse(complement(converse(composition(X0,X2))))) = top,
inference(superposition,[status(thm)],[c_398,c_21139]) ).
tcf(c_28586,plain,
! [X0: $i,X1: $i] : join(complement(iPr_def_12),join(composition(join(top,X0),iPr_def_11),X1)) = top,
inference(superposition,[status(thm)],[c_398,c_15739]) ).
tcf(c_28587,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(join(top,X0),iPr_def_11),X1)) = top,
inference(superposition,[status(thm)],[c_398,c_11990]) ).
tcf(c_28588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(composition(join(X1,X2),X3),iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_398,c_12476]) ).
tcf(c_28590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(composition(join(X0,X1),X2),join(iPr_def_12,X3))) = top,
inference(superposition,[status(thm)],[c_398,c_15206]) ).
tcf(c_28591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(join(X1,X2),X3),complement(join(X0,composition(X1,X3))))) = top,
inference(superposition,[status(thm)],[c_398,c_12854]) ).
tcf(c_28592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,complement(join(composition(X0,X2),composition(X1,X2))))) = top,
inference(superposition,[status(thm)],[c_398,c_12854]) ).
tcf(c_28593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(join(X1,X2),X3),complement(X0))) = top,
inference(superposition,[status(thm)],[c_398,c_12833]) ).
tcf(c_28594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,complement(composition(X0,X2)))) = top,
inference(superposition,[status(thm)],[c_398,c_12833]) ).
tcf(c_28595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(X1,join(composition(join(X2,X3),X4),complement(X0)))) = top,
inference(superposition,[status(thm)],[c_398,c_13081]) ).
tcf(c_28596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(X0,join(composition(join(X1,X2),X3),join(X4,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_398,c_13081]) ).
tcf(c_28598,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(composition(join(X0,X1),X2),complement(iPr_def_12))) = top,
inference(superposition,[status(thm)],[c_398,c_13561]) ).
tcf(c_28599,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(join(complement(join(iPr_def_11,X0)),X1),top),X2)) = join(iPr_def_10,join(composition(X1,top),X2)),
inference(superposition,[status(thm)],[c_398,c_13393]) ).
tcf(c_28600,plain,
! [X0: $i,X1: $i] : join(iPr_def_12,join(composition(join(top,X0),iPr_def_10),X1)) = top,
inference(superposition,[status(thm)],[c_398,c_24771]) ).
tcf(c_28601,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(join(top,X0),iPr_def_10),X1)) = top,
inference(superposition,[status(thm)],[c_398,c_14229]) ).
tcf(c_28602,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(join(top,X0),complement(iPr_def_12)),X1)) = top,
inference(superposition,[status(thm)],[c_398,c_15762]) ).
tcf(c_28603,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(composition(X0,top),X1),X2),converse(iPr_def_10)) = composition(join(composition(join(X2,X0),top),X1),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_398,c_25205]) ).
tcf(c_28604,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(composition(join(X0,X1),X2),converse(complement(one)))) = top,
inference(superposition,[status(thm)],[c_398,c_26236]) ).
tcf(c_28605,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(composition(join(X0,X1),iPr_def_10),X2)),complement(join(composition(X0,iPr_def_10),composition(join(composition(X1,iPr_def_10),X2),top)))) = zero,
inference(superposition,[status(thm)],[c_398,c_23788]) ).
tcf(c_28606,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,iPr_def_10),composition(join(composition(X1,iPr_def_10),X2),top)) = composition(join(composition(join(X0,X1),iPr_def_10),X2),top),
inference(superposition,[status(thm)],[c_398,c_22679]) ).
tcf(c_28607,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(composition(X0,top),X1),join(X2,complement(join(composition(join(X2,X0),top),X1)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_25298]) ).
tcf(c_28608,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(join(X0,X1),X2),complement(composition(composition(X1,X2),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_25285]) ).
tcf(c_28609,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(join(X0,X1),X2),complement(composition(composition(X0,X2),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_25289]) ).
tcf(c_28610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(X0,join(composition(join(X1,X2),X3),complement(composition(composition(X2,X3),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_25292]) ).
tcf(c_28611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : composition(join(composition(join(X0,X1),X2),join(X3,complement(composition(X3,top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_25292]) ).
tcf(c_28612,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(join(X0,X1),X2),converse(complement(composition(top,converse(composition(X0,X2)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_25296]) ).
tcf(c_28613,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(join(X0,X1),X2),complement(join(composition(composition(X1,X2),top),composition(X0,X2)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_398,c_25298]) ).
tcf(c_28617,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(iPr_def_12,composition(join(X0,X1),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_28578,c_50,c_49]) ).
tcf(c_28618,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(iPr_def_11,composition(join(X0,X1),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_28573,c_50,c_49]) ).
tcf(c_28620,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(complement(iPr_def_12),composition(join(X0,X1),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_28598,c_50,c_49]) ).
tcf(c_28622,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(X0,X1)),composition(join(X0,X2),X1)) = top,
inference(theory_normalisation,[status(thm)],[c_28579,c_50,c_49]) ).
tcf(c_28623,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,complement(join(iPr_def_11,composition(join(X0,X1),X2)))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_28572,c_50,c_49]) ).
tcf(c_28625,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(complement(one)),composition(join(X0,X1),X2))) = top,
inference(theory_normalisation,[status(thm)],[c_28604,c_50,c_49]) ).
tcf(c_28626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(iPr_def_12,join(composition(join(X0,X1),X2),X3))) = top,
inference(theory_normalisation,[status(thm)],[c_28590,c_50,c_49]) ).
tcf(c_28628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(iPr_def_12,composition(join(X1,X2),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_28588,c_50,c_49]) ).
tcf(c_28630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(iPr_def_11,join(composition(join(X0,X1),X2),X3))) = top,
inference(theory_normalisation,[status(thm)],[c_28583,c_50,c_49]) ).
tcf(c_28632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(iPr_def_11,composition(join(X1,X2),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_28581,c_50,c_49]) ).
tcf(c_28633,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(one,composition(join(X0,X1),X2)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28577,c_50,c_49]) ).
tcf(c_28634,plain,
! [X0: $i,X1: $i,X2: $i] : join(top,composition(join(X0,X1),X2)) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28423,c_50,c_49]) ).
tcf(c_28635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(composition(X0,X1)),join(composition(join(X0,X2),X1),X3)) = top,
inference(theory_normalisation,[status(thm)],[c_28594,c_50,c_49]) ).
tcf(c_28636,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,composition(complement(join(iPr_def_11,composition(join(X0,X1),X2))),top)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_28570,c_50,c_49]) ).
tcf(c_28638,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,zero),X1),X2) = join(zero,join(X2,composition(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_28466,c_50,c_49]) ).
tcf(c_28639,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,composition(X1,X2))) = join(composition(X1,X2),X0),
inference(light_normalisation,[status(thm)],[c_28638,c_1429]) ).
tcf(c_28640,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),zero),X2) = join(zero,join(X2,composition(X0,zero))),
inference(theory_normalisation,[status(thm)],[c_28463,c_50,c_49]) ).
tcf(c_28641,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),zero),X2) = join(zero,join(X2,zero)),
inference(light_normalisation,[status(thm)],[c_28640,c_8201]) ).
tcf(c_28642,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_12),top),X1) = join(iPr_def_12,join(X1,composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_28461,c_50,c_49]) ).
tcf(c_28643,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_12,composition(X0,top)),X1) = join(iPr_def_12,join(X1,composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_28642,c_11846]) ).
tcf(c_28644,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,composition(X2,X0))) = join(composition(join(X2,one),X0),X1),
inference(theory_normalisation,[status(thm)],[c_28460,c_50,c_49]) ).
tcf(c_28645,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,top),top),X1) = join(top,join(X1,composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_28456,c_50,c_49]) ).
tcf(c_28646,plain,
! [X0: $i,X1: $i] : join(top,join(X0,composition(X1,top))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_28645,c_7015,c_11762]) ).
tcf(c_28647,plain,
! [X0: $i,X1: $i] : join(top,join(X0,composition(X1,top))) = top,
inference(light_normalisation,[status(thm)],[c_28646,c_7096]) ).
tcf(c_28648,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_10),top),X1) = join(iPr_def_10,join(X1,composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_28445,c_50,c_49]) ).
tcf(c_28649,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(X0,top)),X1) = join(iPr_def_10,join(X1,composition(X0,top))),
inference(light_normalisation,[status(thm)],[c_28648,c_401]) ).
tcf(c_28650,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_11),top),X1) = join(iPr_def_12,join(X1,composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_28444,c_50,c_49]) ).
tcf(c_28652,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),one),X2) = join(X0,join(X1,X2)),
inference(light_normalisation,[status(thm)],[c_28442,c_53]) ).
tcf(c_28653,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = join(zero,composition(join(X0,X2),X1)),
inference(theory_normalisation,[status(thm)],[c_28424,c_50,c_49]) ).
tcf(c_28654,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,composition(join(X0,X1),X2)) = composition(join(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_28653,c_399]) ).
tcf(c_28655,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(X0,X1),X2)) = join(composition(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_28322,c_1336]) ).
tcf(c_28656,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_12,composition(X0,top)),X1) = join(iPr_def_12,join(composition(X0,top),X1)),
inference(light_normalisation,[status(thm)],[c_28317,c_11839]) ).
tcf(c_28657,plain,
! [X0: $i,X1: $i] : join(top,join(composition(X0,top),X1)) = join(top,X1),
inference(light_normalisation,[status(thm)],[c_28312,c_7096,c_11762]) ).
tcf(c_28658,plain,
! [X0: $i,X1: $i] : join(join(iPr_def_10,composition(X0,top)),X1) = join(iPr_def_10,join(composition(X0,top),X1)),
inference(light_normalisation,[status(thm)],[c_28301,c_392]) ).
tcf(c_28661,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,complement(iPr_def_12)),top),X1) = join(iPr_def_10,join(X1,composition(X0,top))),
inference(theory_normalisation,[status(thm)],[c_28493,c_50,c_49]) ).
tcf(c_28663,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_12)),iPr_def_10),X1) = join(zero,join(X1,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_28481,c_50,c_49]) ).
tcf(c_28664,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,composition(X1,iPr_def_10))) = join(composition(X1,iPr_def_10),X0),
inference(light_normalisation,[status(thm)],[c_28663,c_20664]) ).
tcf(c_28665,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_10)),iPr_def_12),X1) = join(zero,join(X1,composition(X0,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_28476,c_50,c_49]) ).
tcf(c_28666,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,composition(X1,iPr_def_12))) = join(composition(X1,iPr_def_12),X0),
inference(light_normalisation,[status(thm)],[c_28665,c_20454]) ).
tcf(c_28667,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_11)),iPr_def_10),X1) = join(zero,join(X1,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_28469,c_50,c_49]) ).
tcf(c_28669,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_10)),iPr_def_11),X1) = join(zero,join(X1,composition(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_28448,c_50,c_49]) ).
tcf(c_28670,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,composition(X1,iPr_def_11))) = join(composition(X1,iPr_def_11),X0),
inference(light_normalisation,[status(thm)],[c_28669,c_16858]) ).
tcf(c_28671,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(composition(X0,X1)),composition(join(X2,X0),X1)) = join(top,composition(X2,X1)),
inference(theory_normalisation,[status(thm)],[c_28415,c_50,c_49]) ).
tcf(c_28673,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(X0,iPr_def_10),X1)) = join(composition(X0,iPr_def_10),X1),
inference(light_normalisation,[status(thm)],[c_28337,c_20661]) ).
tcf(c_28674,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(X0,iPr_def_12),X1)) = join(composition(X0,iPr_def_12),X1),
inference(light_normalisation,[status(thm)],[c_28332,c_20452]) ).
tcf(c_28676,plain,
! [X0: $i,X1: $i] : join(zero,join(composition(X0,iPr_def_11),X1)) = join(composition(X0,iPr_def_11),X1),
inference(light_normalisation,[status(thm)],[c_28304,c_16856]) ).
tcf(c_28678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(X2,composition(X3,X1))) = join(composition(join(X3,X0),X1),X2),
inference(theory_normalisation,[status(thm)],[c_28562,c_50,c_49]) ).
tcf(c_28679,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(complement(iPr_def_12))),iPr_def_12),X1) = join(zero,join(X1,composition(X0,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_28498,c_50,c_49]) ).
tcf(c_28680,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,iPr_def_12)),X1) = join(zero,join(X1,composition(X0,iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_28679,c_12591]) ).
tcf(c_28681,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_12),join(composition(top,iPr_def_11),X1)) = join(composition(top,iPr_def_11),X1),
inference(light_normalisation,[status(thm)],[c_28495,c_7015,c_19797]) ).
tcf(c_28682,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(complement(iPr_def_12))),iPr_def_11),X1) = join(zero,join(X1,composition(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_28471,c_50,c_49]) ).
tcf(c_28683,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,iPr_def_11)),X1) = join(zero,join(X1,composition(X0,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_28682,c_5293]) ).
tcf(c_28684,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(join(X2,X0),X1)) = join(composition(X2,X1),composition(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_28428,c_50,c_49]) ).
tcf(c_28685,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,iPr_def_12)),X1) = join(zero,join(composition(X0,iPr_def_12),X1)),
inference(light_normalisation,[status(thm)],[c_28354,c_12583]) ).
tcf(c_28686,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,iPr_def_12),X1)) = join(composition(top,iPr_def_11),X1),
inference(light_normalisation,[status(thm)],[c_28351,c_7096,c_19797]) ).
tcf(c_28687,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,iPr_def_11)),X1) = join(zero,join(composition(X0,iPr_def_11),X1)),
inference(light_normalisation,[status(thm)],[c_28327,c_5274]) ).
tcf(c_28691,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_11),join(composition(top,iPr_def_11),X1)) = join(composition(top,iPr_def_11),X1),
inference(light_normalisation,[status(thm)],[c_28519,c_18199]) ).
tcf(c_28693,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),join(composition(top,iPr_def_10),X1)) = join(composition(top,iPr_def_10),X1),
inference(light_normalisation,[status(thm)],[c_28512,c_19233]) ).
tcf(c_28694,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(X0,composition(X1,converse(iPr_def_12)))) = join(composition(join(X1,top),converse(iPr_def_12)),X0),
inference(theory_normalisation,[status(thm)],[c_28508,c_50,c_49]) ).
tcf(c_28695,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(X0,composition(X1,converse(iPr_def_11)))) = join(composition(join(X1,top),converse(iPr_def_11)),X0),
inference(theory_normalisation,[status(thm)],[c_28507,c_50,c_49]) ).
tcf(c_28696,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(X0,composition(X1,converse(iPr_def_10)))) = join(composition(join(X1,top),converse(iPr_def_10)),X0),
inference(theory_normalisation,[status(thm)],[c_28506,c_50,c_49]) ).
tcf(c_28697,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_12)),complement(iPr_def_12)),X1) = join(zero,join(X1,composition(X0,complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_28497,c_50,c_49]) ).
tcf(c_28698,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,complement(iPr_def_12))),X1) = join(zero,join(X1,composition(X0,complement(iPr_def_12)))),
inference(light_normalisation,[status(thm)],[c_28697,c_12199]) ).
tcf(c_28700,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_12),X2) = join(zero,join(X2,composition(X0,iPr_def_12))),
inference(theory_normalisation,[status(thm)],[c_28487,c_50,c_49]) ).
tcf(c_28702,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_12,X1))),iPr_def_10),X2) = join(zero,join(X2,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_28486,c_50,c_49]) ).
tcf(c_28703,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,iPr_def_10)),X1) = join(zero,join(X1,composition(X0,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_28702,c_13338]) ).
tcf(c_28704,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_10,X1))),iPr_def_11),X2) = join(zero,join(X2,composition(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_28482,c_50,c_49]) ).
tcf(c_28706,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(iPr_def_11,X1))),iPr_def_10),X2) = join(zero,join(X2,composition(X0,iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_28478,c_50,c_49]) ).
tcf(c_28708,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,converse(iPr_def_11)),complement(iPr_def_12)),X1) = join(zero,join(X1,composition(X0,complement(iPr_def_12)))),
inference(theory_normalisation,[status(thm)],[c_28447,c_50,c_49]) ).
tcf(c_28710,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),composition(top,complement(composition(X1,X2)))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28437,c_50,c_49]) ).
tcf(c_28711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(composition(X0,X1)),join(composition(join(X2,X0),X1),X3)) = join(top,composition(X2,X1)),
inference(theory_normalisation,[status(thm)],[c_28431,c_50,c_49]) ).
tcf(c_28712,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),converse(complement(converse(composition(X1,X2))))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28425,c_50,c_49]) ).
tcf(c_28716,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_11),join(composition(X0,iPr_def_11),X1)) = join(composition(top,iPr_def_11),X1),
inference(light_normalisation,[status(thm)],[c_28375,c_18200]) ).
tcf(c_28718,plain,
! [X0: $i,X1: $i] : join(composition(top,iPr_def_10),join(composition(X0,iPr_def_10),X1)) = join(composition(top,iPr_def_10),X1),
inference(light_normalisation,[status(thm)],[c_28368,c_19234]) ).
tcf(c_28719,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_12),join(composition(X0,converse(iPr_def_12)),X1)) = join(converse(iPr_def_12),X1),
inference(light_normalisation,[status(thm)],[c_28364,c_7096,c_16918]) ).
tcf(c_28720,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(light_normalisation,[status(thm)],[c_28363,c_7096,c_16908]) ).
tcf(c_28721,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(composition(X0,converse(iPr_def_10)),X1)) = join(converse(iPr_def_10),X1),
inference(light_normalisation,[status(thm)],[c_28362,c_7096,c_16909]) ).
tcf(c_28722,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,complement(iPr_def_12))),X1) = join(zero,join(composition(X0,complement(iPr_def_12)),X1)),
inference(light_normalisation,[status(thm)],[c_28353,c_12186]) ).
tcf(c_28725,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,iPr_def_10)),X1) = join(zero,join(composition(X0,iPr_def_10),X1)),
inference(light_normalisation,[status(thm)],[c_28342,c_13324]) ).
tcf(c_28732,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(complement(composition(X1,top)))),X1),X2) = join(zero,join(X2,composition(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_28489,c_50,c_49]) ).
tcf(c_28733,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,X1)),X2) = join(zero,join(X2,composition(X0,X1))),
inference(light_normalisation,[status(thm)],[c_28732,c_27689]) ).
tcf(c_28737,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,X1)),X2) = join(zero,join(composition(X0,X1),X2)),
inference(light_normalisation,[status(thm)],[c_28345,c_24166]) ).
tcf(c_28738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,X1),join(X3,complement(join(composition(join(X0,X2),X1),X3))))) = top,
inference(theory_normalisation,[status(thm)],[c_28560,c_50,c_49]) ).
tcf(c_28739,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(X0,composition(X1,converse(complement(iPr_def_12))))) = join(composition(join(X1,top),converse(complement(iPr_def_12))),X0),
inference(theory_normalisation,[status(thm)],[c_28509,c_50,c_49]) ).
tcf(c_28740,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(one,X1)),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(X2,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28505,c_50,c_49]) ).
tcf(c_28741,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),X1) = join(converse(iPr_def_10),join(X1,composition(X2,converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_28740,c_17762]) ).
tcf(c_28742,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(iPr_def_10),join(composition(X0,converse(iPr_def_10)),X1)) = join(converse(iPr_def_10),join(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28741,c_50,c_49]) ).
tcf(c_28743,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,one)),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(X2,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28504,c_50,c_49]) ).
tcf(c_28744,plain,
! [X0: $i,X1: $i] : join(join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),X1) = join(converse(iPr_def_10),join(X1,composition(X0,converse(iPr_def_10)))),
inference(light_normalisation,[status(thm)],[c_28743,c_17761]) ).
tcf(c_28745,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_10),composition(X1,iPr_def_10)),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(light_normalisation,[status(thm)],[c_28485,c_20778]) ).
tcf(c_28746,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_12)),composition(iPr_def_10,X1)),X2) = join(zero,join(X2,composition(X0,composition(iPr_def_10,X1)))),
inference(theory_normalisation,[status(thm)],[c_28484,c_50,c_49]) ).
tcf(c_28747,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,composition(X1,composition(iPr_def_10,X2)))) = join(composition(composition(X1,iPr_def_10),X2),X0),
inference(light_normalisation,[status(thm)],[c_28746,c_20777]) ).
tcf(c_28749,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_12),composition(X1,iPr_def_12)),X2) = join(composition(X0,iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(light_normalisation,[status(thm)],[c_28480,c_20503]) ).
tcf(c_28751,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_10)),composition(iPr_def_12,X1)),X2) = join(zero,join(X2,composition(X0,composition(iPr_def_12,X1)))),
inference(theory_normalisation,[status(thm)],[c_28477,c_50,c_49]) ).
tcf(c_28752,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,composition(X1,composition(iPr_def_12,X2)))) = join(composition(composition(X1,iPr_def_12),X2),X0),
inference(light_normalisation,[status(thm)],[c_28751,c_20502]) ).
tcf(c_28754,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_11)),composition(iPr_def_10,X1)),X2) = join(zero,join(X2,composition(X0,composition(iPr_def_10,X1)))),
inference(theory_normalisation,[status(thm)],[c_28473,c_50,c_49]) ).
tcf(c_28757,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_11),composition(X1,iPr_def_11)),X2) = join(composition(X0,iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(light_normalisation,[status(thm)],[c_28468,c_17292]) ).
tcf(c_28758,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_10)),composition(iPr_def_11,X1)),X2) = join(zero,join(X2,composition(X0,composition(iPr_def_11,X1)))),
inference(theory_normalisation,[status(thm)],[c_28467,c_50,c_49]) ).
tcf(c_28759,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,composition(X1,composition(iPr_def_11,X2)))) = join(composition(composition(X1,iPr_def_11),X2),X0),
inference(light_normalisation,[status(thm)],[c_28758,c_17291]) ).
tcf(c_28762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,converse(complement(converse(composition(X1,X2)))))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28435,c_50,c_49]) ).
tcf(c_28763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(converse(complement(converse(composition(X1,X2)))),X3)) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28427,c_50,c_49]) ).
tcf(c_28764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,complement(join(composition(X1,X2),X3)))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28417,c_50,c_49]) ).
tcf(c_28765,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(composition(X0,converse(complement(iPr_def_12))),X1)) = join(converse(iPr_def_10),X1),
inference(light_normalisation,[status(thm)],[c_28365,c_7096,c_16923]) ).
tcf(c_28766,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(one,join(X0,X1)),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(theory_normalisation,[status(thm)],[c_28361,c_50,c_49]) ).
tcf(c_28767,plain,
! [X0: $i,X1: $i] : join(join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),X1) = join(converse(iPr_def_10),join(composition(X0,converse(iPr_def_10)),X1)),
inference(light_normalisation,[status(thm)],[c_28766,c_17582]) ).
tcf(c_28768,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(one,X1)),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(theory_normalisation,[status(thm)],[c_28360,c_50,c_49]) ).
tcf(c_28772,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(X0,composition(iPr_def_10,X1)),X2)) = join(composition(composition(X0,iPr_def_10),X1),X2),
inference(light_normalisation,[status(thm)],[c_28340,c_20685]) ).
tcf(c_28773,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_12),join(X0,X1)),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(theory_normalisation,[status(thm)],[c_28339,c_50,c_49]) ).
tcf(c_28777,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_10),join(X0,X1)),iPr_def_12),X2) = join(composition(X0,iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(theory_normalisation,[status(thm)],[c_28335,c_50,c_49]) ).
tcf(c_28779,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(X0,composition(iPr_def_12,X1)),X2)) = join(composition(composition(X0,iPr_def_12),X1),X2),
inference(light_normalisation,[status(thm)],[c_28333,c_20473]) ).
tcf(c_28783,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_11),join(X0,X1)),iPr_def_10),X2) = join(composition(X0,iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(theory_normalisation,[status(thm)],[c_28328,c_50,c_49]) ).
tcf(c_28787,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(X0,composition(iPr_def_11,X1)),X2)) = join(composition(composition(X0,iPr_def_11),X1),X2),
inference(light_normalisation,[status(thm)],[c_28323,c_16877]) ).
tcf(c_28788,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(converse(iPr_def_10),join(X0,X1)),iPr_def_11),X2) = join(composition(X0,iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(theory_normalisation,[status(thm)],[c_28318,c_50,c_49]) ).
tcf(c_28790,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(join(X0,X1),top),X2),converse(iPr_def_10)) = composition(join(composition(X1,top),join(X2,X0)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_28603,c_50,c_49]) ).
tcf(c_28792,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_12),composition(converse(X1),iPr_def_12)),X2) = join(composition(X0,iPr_def_12),join(composition(converse(X1),iPr_def_12),X2)),
inference(light_normalisation,[status(thm)],[c_28538,c_20652]) ).
tcf(c_28794,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_10),complement(composition(top,iPr_def_10))),X1) = join(zero,join(X1,composition(X0,complement(composition(top,iPr_def_10))))),
inference(theory_normalisation,[status(thm)],[c_28533,c_50,c_49]) ).
tcf(c_28795,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,complement(composition(top,iPr_def_10)))),X1) = join(zero,join(X1,composition(X0,complement(composition(top,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_28794,c_19863]) ).
tcf(c_28796,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_10),composition(converse(X1),iPr_def_10)),X2) = join(composition(X0,iPr_def_10),join(composition(converse(X1),iPr_def_10),X2)),
inference(light_normalisation,[status(thm)],[c_28532,c_19145]) ).
tcf(c_28798,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_11),complement(composition(top,iPr_def_11))),X1) = join(zero,join(X1,composition(X0,complement(composition(top,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_28527,c_50,c_49]) ).
tcf(c_28799,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,complement(composition(top,iPr_def_11)))),X1) = join(zero,join(X1,composition(X0,complement(composition(top,iPr_def_11))))),
inference(light_normalisation,[status(thm)],[c_28798,c_19180]) ).
tcf(c_28800,plain,
! [X0: $i,X1: $i] : join(composition(join(X0,iPr_def_12),complement(composition(top,iPr_def_11))),X1) = join(zero,join(X1,composition(X0,complement(composition(top,iPr_def_11))))),
inference(theory_normalisation,[status(thm)],[c_28525,c_50,c_49]) ).
tcf(c_28802,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(X0,iPr_def_11),composition(converse(X1),iPr_def_11)),X2) = join(composition(X0,iPr_def_11),join(composition(converse(X1),iPr_def_11),X2)),
inference(light_normalisation,[status(thm)],[c_28517,c_17775]) ).
tcf(c_28803,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(iPr_def_10)),join(composition(iPr_def_10,converse(iPr_def_10)),X1)) = join(composition(join(iPr_def_10,X0),converse(iPr_def_10)),X1),
inference(light_normalisation,[status(thm)],[c_28514,c_25252]) ).
tcf(c_28805,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),join(X1,composition(X2,composition(top,X0)))) = join(composition(join(X2,iPr_def_12),composition(top,X0)),X1),
inference(theory_normalisation,[status(thm)],[c_28496,c_50,c_49]) ).
tcf(c_28806,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(X0,join(composition(X1,top),composition(X2,top)))) = join(composition(join(X1,join(X2,iPr_def_12)),top),X0),
inference(theory_normalisation,[status(thm)],[c_28494,c_50,c_49]) ).
tcf(c_28807,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(X0,join(composition(X1,top),composition(X2,top)))) = join(composition(join(X1,join(iPr_def_12,X2)),top),X0),
inference(theory_normalisation,[status(thm)],[c_28492,c_50,c_49]) ).
tcf(c_28808,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(complement(iPr_def_12))),composition(iPr_def_11,X1)),X2) = join(zero,join(X2,composition(X0,composition(iPr_def_11,X1)))),
inference(theory_normalisation,[status(thm)],[c_28475,c_50,c_49]) ).
tcf(c_28809,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,composition(iPr_def_11,X1))),X2) = join(zero,join(X2,composition(X0,composition(iPr_def_11,X1)))),
inference(light_normalisation,[status(thm)],[c_28808,c_12815]) ).
tcf(c_28810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,X0),join(composition(X2,X0),X3))) = join(composition(join(X1,join(X2,one)),X0),X3),
inference(theory_normalisation,[status(thm)],[c_28465,c_50,c_49]) ).
tcf(c_28811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,X0),join(composition(X2,X0),X3))) = join(composition(join(X1,join(one,X2)),X0),X3),
inference(theory_normalisation,[status(thm)],[c_28464,c_50,c_49]) ).
tcf(c_28812,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(composition(X1,top),composition(X2,top)))) = join(composition(join(X1,join(X2,iPr_def_10)),top),X0),
inference(theory_normalisation,[status(thm)],[c_28455,c_50,c_49]) ).
tcf(c_28813,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(X0,join(composition(X1,top),composition(X2,top)))) = join(composition(join(X1,join(X2,iPr_def_11)),top),X0),
inference(theory_normalisation,[status(thm)],[c_28454,c_50,c_49]) ).
tcf(c_28814,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(X0,join(composition(X1,top),composition(X2,top)))) = join(composition(join(X1,join(iPr_def_10,X2)),top),X0),
inference(theory_normalisation,[status(thm)],[c_28453,c_50,c_49]) ).
tcf(c_28815,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(X0,join(composition(X1,top),composition(X2,top)))) = join(composition(join(X1,join(iPr_def_11,X2)),top),X0),
inference(theory_normalisation,[status(thm)],[c_28452,c_50,c_49]) ).
tcf(c_28816,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),join(X1,composition(X2,composition(top,X0)))) = join(composition(join(X2,iPr_def_10),composition(top,X0)),X1),
inference(theory_normalisation,[status(thm)],[c_28451,c_50,c_49]) ).
tcf(c_28817,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_12,X0),join(X1,composition(X2,composition(top,X0)))) = join(composition(join(X2,iPr_def_11),composition(top,X0)),X1),
inference(theory_normalisation,[status(thm)],[c_28450,c_50,c_49]) ).
tcf(c_28818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(join(X2,X0),X1),X3)) = join(composition(X2,X1),join(composition(X0,X1),X3)),
inference(theory_normalisation,[status(thm)],[c_28434,c_50,c_49]) ).
tcf(c_28819,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(converse(X0),iPr_def_12),composition(X1,iPr_def_12)),X2) = join(composition(converse(X0),iPr_def_12),join(composition(X1,iPr_def_12),X2)),
inference(light_normalisation,[status(thm)],[c_28394,c_20650]) ).
tcf(c_28821,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,complement(composition(top,iPr_def_10)))),X1) = join(zero,join(composition(X0,complement(composition(top,iPr_def_10))),X1)),
inference(light_normalisation,[status(thm)],[c_28389,c_19845]) ).
tcf(c_28822,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(converse(X0),iPr_def_10),composition(X1,iPr_def_10)),X2) = join(composition(converse(X0),iPr_def_10),join(composition(X1,iPr_def_10),X2)),
inference(light_normalisation,[status(thm)],[c_28388,c_19143]) ).
tcf(c_28824,plain,
! [X0: $i,X1: $i] : join(join(zero,composition(X0,complement(composition(top,iPr_def_11)))),X1) = join(zero,join(composition(X0,complement(composition(top,iPr_def_11))),X1)),
inference(light_normalisation,[status(thm)],[c_28383,c_19162]) ).
tcf(c_28826,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(composition(converse(X0),iPr_def_11),composition(X1,iPr_def_11)),X2) = join(composition(converse(X0),iPr_def_11),join(composition(X1,iPr_def_11),X2)),
inference(light_normalisation,[status(thm)],[c_28373,c_17773]) ).
tcf(c_28828,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),join(composition(X1,top),X2))) = join(composition(join(X0,join(iPr_def_12,X1)),top),X2),
inference(theory_normalisation,[status(thm)],[c_28350,c_50,c_49]) ).
tcf(c_28829,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),join(composition(X1,top),X2))) = join(join(iPr_def_12,composition(join(X0,X1),top)),X2),
inference(light_normalisation,[status(thm)],[c_28828,c_14582]) ).
tcf(c_28830,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),join(composition(X1,top),X2))) = join(iPr_def_12,join(composition(join(X0,X1),top),X2)),
inference(theory_normalisation,[status(thm)],[c_28829,c_50,c_49]) ).
tcf(c_28831,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),join(composition(X1,top),X2))) = join(composition(join(iPr_def_12,join(X0,X1)),top),X2),
inference(theory_normalisation,[status(thm)],[c_28348,c_50,c_49]) ).
tcf(c_28832,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,composition(iPr_def_11,X1))),X2) = join(zero,join(composition(X0,composition(iPr_def_11,X1)),X2)),
inference(light_normalisation,[status(thm)],[c_28331,c_12802]) ).
tcf(c_28834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(X0,join(composition(X1,X0),join(composition(X2,X0),X3))) = join(composition(join(one,join(X1,X2)),X0),X3),
inference(theory_normalisation,[status(thm)],[c_28320,c_50,c_49]) ).
tcf(c_28835,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,top),join(composition(X1,top),X2))) = join(composition(join(X0,join(iPr_def_10,X1)),top),X2),
inference(theory_normalisation,[status(thm)],[c_28311,c_50,c_49]) ).
tcf(c_28836,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,top),join(composition(X1,top),X2))) = join(join(iPr_def_10,composition(join(X0,X1),top)),X2),
inference(light_normalisation,[status(thm)],[c_28835,c_9109]) ).
tcf(c_28837,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,top),join(composition(X1,top),X2))) = join(iPr_def_10,join(composition(join(X0,X1),top),X2)),
inference(theory_normalisation,[status(thm)],[c_28836,c_50,c_49]) ).
tcf(c_28838,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),join(composition(X1,top),X2))) = join(composition(join(X0,join(iPr_def_11,X1)),top),X2),
inference(theory_normalisation,[status(thm)],[c_28310,c_50,c_49]) ).
tcf(c_28841,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_10,join(composition(X0,top),join(composition(X1,top),X2))) = join(composition(join(iPr_def_10,join(X0,X1)),top),X2),
inference(theory_normalisation,[status(thm)],[c_28309,c_50,c_49]) ).
tcf(c_28842,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_12,join(composition(X0,top),join(composition(X1,top),X2))) = join(composition(join(iPr_def_11,join(X0,X1)),top),X2),
inference(theory_normalisation,[status(thm)],[c_28308,c_50,c_49]) ).
tcf(c_28843,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,top),join(X1,join(X2,complement(join(composition(join(X2,X0),top),X1))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_28607,c_50,c_49]) ).
tcf(c_28844,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,composition(join(X0,X1),X2))),complement(join(iPr_def_11,complement(join(composition(X0,X2),composition(X1,X2)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_28571,c_50,c_49]) ).
tcf(c_28845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(composition(X2,X1),join(X3,join(complement(join(composition(join(X0,X2),X1),X3)),X4)))) = top,
inference(theory_normalisation,[status(thm)],[c_28558,c_50,c_49]) ).
tcf(c_28846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),join(composition(X2,X1),join(X3,converse(complement(converse(join(composition(join(X0,X2),X1),X3))))))) = top,
inference(theory_normalisation,[status(thm)],[c_28556,c_50,c_49]) ).
tcf(c_28847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(X0,X1),join(composition(X2,X1),join(X3,join(X4,complement(join(composition(join(X0,X2),X1),X3)))))) = top,
inference(theory_normalisation,[status(thm)],[c_28555,c_50,c_49]) ).
tcf(c_28848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,one))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(X3,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28523,c_50,c_49]) ).
tcf(c_28850,plain,
! [X0: $i,X1: $i] : join(composition(iPr_def_10,converse(iPr_def_10)),join(X0,composition(X1,converse(complement(iPr_def_12))))) = join(composition(join(X1,iPr_def_10),converse(complement(iPr_def_12))),X0),
inference(theory_normalisation,[status(thm)],[c_28521,c_50,c_49]) ).
tcf(c_28851,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(iPr_def_10,X0),join(X1,composition(X2,composition(top,X0)))) = join(composition(join(X2,complement(iPr_def_12)),composition(top,X0)),X1),
inference(theory_normalisation,[status(thm)],[c_28501,c_50,c_49]) ).
tcf(c_28852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(composition(iPr_def_12,X1))),composition(iPr_def_10,X2)),X3) = join(zero,join(X3,composition(X0,composition(iPr_def_10,X2)))),
inference(theory_normalisation,[status(thm)],[c_28500,c_50,c_49]) ).
tcf(c_28853,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,composition(iPr_def_10,X1))),X2) = join(zero,join(X2,composition(X0,composition(iPr_def_10,X1)))),
inference(light_normalisation,[status(thm)],[c_28852,c_26027]) ).
tcf(c_28854,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(iPr_def_11)),composition(complement(iPr_def_12),X1)),X2) = join(zero,join(X2,composition(X0,composition(complement(iPr_def_12),X1)))),
inference(theory_normalisation,[status(thm)],[c_28470,c_50,c_49]) ).
tcf(c_28855,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,composition(complement(iPr_def_12),X1))),X2) = join(zero,join(X2,composition(X0,composition(complement(iPr_def_12),X1)))),
inference(light_normalisation,[status(thm)],[c_28854,c_12549]) ).
tcf(c_28856,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(X1)),complement(composition(X1,top))),X2) = join(zero,join(X2,composition(X0,complement(composition(X1,top))))),
inference(theory_normalisation,[status(thm)],[c_28446,c_50,c_49]) ).
tcf(c_28857,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(composition(X1,top)))),X2) = join(zero,join(X2,composition(X0,complement(composition(X1,top))))),
inference(light_normalisation,[status(thm)],[c_28856,c_9583]) ).
tcf(c_28859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,X1),X2),join(X3,join(X4,complement(join(composition(X1,X2),X3))))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28438,c_50,c_49]) ).
tcf(c_28860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,X1),X2),join(X3,join(complement(join(composition(X1,X2),X3)),X4))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28432,c_50,c_49]) ).
tcf(c_28861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,converse(complement(converse(join(composition(X1,X2),X3)))))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_28426,c_50,c_49]) ).
tcf(c_28862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(one,X2))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(theory_normalisation,[status(thm)],[c_28379,c_50,c_49]) ).
tcf(c_28864,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,composition(iPr_def_10,X1))),X2) = join(zero,join(composition(X0,composition(iPr_def_10,X1)),X2)),
inference(light_normalisation,[status(thm)],[c_28356,c_25999]) ).
tcf(c_28865,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,composition(complement(iPr_def_12),X1))),X2) = join(zero,join(composition(X0,composition(complement(iPr_def_12),X1)),X2)),
inference(light_normalisation,[status(thm)],[c_28326,c_12538]) ).
tcf(c_28866,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(composition(X1,top)))),X2) = join(zero,join(composition(X0,complement(composition(X1,top))),X2)),
inference(light_normalisation,[status(thm)],[c_28302,c_9567]) ).
tcf(c_28867,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,complement(composition(X1,top)))),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(X2,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28547,c_50,c_49]) ).
tcf(c_28868,plain,
! [X0: $i,X1: $i] : join(converse(iPr_def_10),join(X0,composition(X1,converse(iPr_def_10)))) = join(converse(iPr_def_10),X0),
inference(light_normalisation,[status(thm)],[c_28867,c_25285]) ).
tcf(c_28869,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,composition(iPr_def_12,X1)),join(composition(top,composition(iPr_def_11,X1)),X2)) = join(composition(top,composition(iPr_def_12,X1)),X2),
inference(light_normalisation,[status(thm)],[c_28534,c_7015]) ).
tcf(c_28870,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),complement(composition(converse(X1),top))),X2) = join(zero,join(X2,composition(X0,complement(composition(converse(X1),top))))),
inference(theory_normalisation,[status(thm)],[c_28488,c_50,c_49]) ).
tcf(c_28871,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(composition(converse(X1),top)))),X2) = join(zero,join(X2,composition(X0,complement(composition(converse(X1),top))))),
inference(light_normalisation,[status(thm)],[c_28870,c_9619]) ).
tcf(c_28872,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(complement(composition(X0,top)),X1)),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(theory_normalisation,[status(thm)],[c_28403,c_50,c_49]) ).
tcf(c_28874,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(composition(converse(X1),top)))),X2) = join(zero,join(composition(X0,complement(composition(converse(X1),top))),X2)),
inference(light_normalisation,[status(thm)],[c_28344,c_9600]) ).
tcf(c_28875,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(composition(X1,iPr_def_10))),complement(composition(X1,iPr_def_10))),X2) = join(zero,join(X2,composition(X0,complement(composition(X1,iPr_def_10))))),
inference(theory_normalisation,[status(thm)],[c_28541,c_50,c_49]) ).
tcf(c_28876,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(composition(X1,iPr_def_10)))),X2) = join(zero,join(X2,composition(X0,complement(composition(X1,iPr_def_10))))),
inference(light_normalisation,[status(thm)],[c_28875,c_22570]) ).
tcf(c_28877,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,iPr_def_12)),join(X1,composition(X2,converse(composition(X0,iPr_def_12))))) = join(composition(join(X2,top),converse(composition(X0,iPr_def_12))),X1),
inference(theory_normalisation,[status(thm)],[c_28524,c_50,c_49]) ).
tcf(c_28878,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,iPr_def_10)),join(X1,composition(X2,converse(composition(X0,iPr_def_10))))) = join(composition(join(X2,top),converse(composition(X0,iPr_def_10))),X1),
inference(theory_normalisation,[status(thm)],[c_28522,c_50,c_49]) ).
tcf(c_28879,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),X0),join(X1,composition(X2,composition(converse(iPr_def_12),X0)))) = join(composition(join(X2,top),composition(converse(iPr_def_12),X0)),X1),
inference(theory_normalisation,[status(thm)],[c_28520,c_50,c_49]) ).
tcf(c_28880,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_10),X0),join(X1,composition(X2,composition(converse(iPr_def_10),X0)))) = join(composition(join(X2,top),composition(converse(iPr_def_10),X0)),X1),
inference(theory_normalisation,[status(thm)],[c_28513,c_50,c_49]) ).
tcf(c_28881,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(converse(iPr_def_12),X0),join(X1,composition(X2,composition(converse(iPr_def_11),X0)))) = join(composition(join(X2,top),composition(converse(iPr_def_11),X0)),X1),
inference(theory_normalisation,[status(thm)],[c_28510,c_50,c_49]) ).
tcf(c_28882,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(composition(X1,iPr_def_10)))),X2) = join(zero,join(composition(X0,complement(composition(X1,iPr_def_10))),X2)),
inference(light_normalisation,[status(thm)],[c_28397,c_22549]) ).
tcf(c_28883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,complement(composition(X1,top))))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(X3,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28551,c_50,c_49]) ).
tcf(c_28885,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,converse(complement(composition(top,converse(X1)))))),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(X2,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28550,c_50,c_49]) ).
tcf(c_28887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,complement(composition(X2,top))))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(X3,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28549,c_50,c_49]) ).
tcf(c_28889,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(X2,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28548,c_50,c_49]) ).
tcf(c_28891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(composition(X1,top),join(composition(X2,iPr_def_10),X3))) = join(composition(join(X0,join(X1,composition(X2,iPr_def_10))),top),X3),
inference(theory_normalisation,[status(thm)],[c_28545,c_50,c_49]) ).
tcf(c_28892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(composition(X1,top),join(composition(X2,iPr_def_10),X3))) = join(join(composition(join(X0,X1),top),composition(X2,iPr_def_10)),X3),
inference(light_normalisation,[status(thm)],[c_28891,c_26290]) ).
tcf(c_28893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(composition(X1,top),join(composition(X2,iPr_def_10),X3))) = join(composition(join(X0,X1),top),join(composition(X2,iPr_def_10),X3)),
inference(theory_normalisation,[status(thm)],[c_28892,c_50,c_49]) ).
tcf(c_28894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(composition(X1,iPr_def_10),join(composition(X2,top),X3))) = join(composition(join(X0,join(X2,composition(X1,iPr_def_10))),top),X3),
inference(theory_normalisation,[status(thm)],[c_28544,c_50,c_49]) ).
tcf(c_28895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,top),join(composition(X1,iPr_def_10),join(composition(X2,top),X3))) = join(composition(join(X0,join(composition(X1,iPr_def_10),X2)),top),X3),
inference(theory_normalisation,[status(thm)],[c_28542,c_50,c_49]) ).
tcf(c_28896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(X0,join(composition(X1,top),composition(join(X2,X3),top)))) = join(composition(join(X1,join(X2,join(iPr_def_10,X3))),top),X0),
inference(theory_normalisation,[status(thm)],[c_28458,c_50,c_49]) ).
tcf(c_28897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(complement(composition(X0,top)),X2))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(theory_normalisation,[status(thm)],[c_28407,c_50,c_49]) ).
tcf(c_28899,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(converse(complement(composition(top,converse(X0)))),X1)),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(theory_normalisation,[status(thm)],[c_28406,c_50,c_49]) ).
tcf(c_28901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(complement(composition(X1,top)),X2))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(theory_normalisation,[status(thm)],[c_28405,c_50,c_49]) ).
tcf(c_28903,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(composition(top,complement(composition(X0,top))),X1)),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(theory_normalisation,[status(thm)],[c_28404,c_50,c_49]) ).
tcf(c_28906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),join(composition(X2,top),X3))) = join(composition(join(X1,join(composition(X0,iPr_def_10),X2)),top),X3),
inference(theory_normalisation,[status(thm)],[c_28400,c_50,c_49]) ).
tcf(c_28907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),join(composition(X2,top),X3))) = join(join(composition(X0,iPr_def_10),composition(join(X1,X2),top)),X3),
inference(light_normalisation,[status(thm)],[c_28906,c_23735]) ).
tcf(c_28908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),join(composition(X2,top),X3))) = join(composition(X0,iPr_def_10),join(composition(join(X1,X2),top),X3)),
inference(theory_normalisation,[status(thm)],[c_28907,c_50,c_49]) ).
tcf(c_28909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,iPr_def_10),join(composition(X1,top),join(composition(X2,top),X3))) = join(composition(join(composition(X0,iPr_def_10),join(X1,X2)),top),X3),
inference(theory_normalisation,[status(thm)],[c_28398,c_50,c_49]) ).
tcf(c_28910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_10,join(composition(join(X0,X1),top),join(composition(X2,top),X3))) = join(composition(join(X0,join(iPr_def_10,join(X1,X2))),top),X3),
inference(theory_normalisation,[status(thm)],[c_28314,c_50,c_49]) ).
tcf(c_28911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(iPr_def_10,X0),composition(top,X1)),join(composition(X2,X1),X3)) = join(composition(join(iPr_def_10,join(composition(X0,top),X2)),X1),X3),
inference(theory_normalisation,[status(thm)],[c_28313,c_50,c_49]) ).
tcf(c_28912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(complement(join(iPr_def_11,complement(join(composition(join(X0,X1),X2),X3)))),complement(join(iPr_def_11,join(composition(X0,X2),join(composition(X1,X2),X3))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_28557,c_50,c_49]) ).
tcf(c_28913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),converse(iPr_def_10)),join(composition(X2,converse(iPr_def_10)),X3)) = join(composition(join(composition(X1,top),join(X0,X2)),converse(iPr_def_10)),X3),
inference(theory_normalisation,[status(thm)],[c_28399,c_50,c_49]) ).
tcf(c_28914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,complement(join(composition(X2,top),X1))))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(X3,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28554,c_50,c_49]) ).
tcf(c_28916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(X2,converse(complement(composition(top,converse(X1))))))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(X3,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_28553,c_50,c_49]) ).
tcf(c_28918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,join(X1,join(X2,join(X3,complement(composition(X3,top)))))),converse(iPr_def_10)),X4) = join(converse(iPr_def_10),join(composition(X0,converse(iPr_def_10)),X4)),
inference(theory_normalisation,[status(thm)],[c_28552,c_50,c_49]) ).
tcf(c_28920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(complement(join(composition(X1,top),X0)),X2))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(theory_normalisation,[status(thm)],[c_28410,c_50,c_49]) ).
tcf(c_28922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,join(X1,join(converse(complement(composition(top,converse(X0)))),X2))),converse(iPr_def_10)),X3) = join(converse(iPr_def_10),join(composition(X2,converse(iPr_def_10)),X3)),
inference(theory_normalisation,[status(thm)],[c_28409,c_50,c_49]) ).
tcf(c_28924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : join(composition(join(X0,join(X1,join(X2,join(complement(composition(X2,top)),X3)))),converse(iPr_def_10)),X4) = join(converse(iPr_def_10),join(composition(X3,converse(iPr_def_10)),X4)),
inference(theory_normalisation,[status(thm)],[c_28408,c_50,c_49]) ).
tcf(c_28926,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,converse(join(iPr_def_10,X1))),complement(join(iPr_def_10,composition(X1,top)))),X2) = join(zero,join(X2,composition(X0,complement(join(iPr_def_10,composition(X1,top)))))),
inference(theory_normalisation,[status(thm)],[c_28459,c_50,c_49]) ).
tcf(c_28927,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(join(iPr_def_10,composition(X1,top))))),X2) = join(zero,join(X2,composition(X0,complement(join(iPr_def_10,composition(X1,top)))))),
inference(light_normalisation,[status(thm)],[c_28926,c_12288]) ).
tcf(c_28928,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(zero,composition(X0,complement(join(iPr_def_10,composition(X1,top))))),X2) = join(zero,join(composition(X0,complement(join(iPr_def_10,composition(X1,top)))),X2)),
inference(light_normalisation,[status(thm)],[c_28315,c_12254]) ).
tcf(c_28929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,converse(join(composition(X1,iPr_def_10),X2))),complement(join(composition(X1,iPr_def_10),composition(X2,top)))),X3) = join(zero,join(X3,composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top)))))),
inference(theory_normalisation,[status(thm)],[c_28546,c_50,c_49]) ).
tcf(c_28930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(zero,composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top))))),X3) = join(zero,join(X3,composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top)))))),
inference(light_normalisation,[status(thm)],[c_28929,c_25199]) ).
tcf(c_28931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(join(zero,composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top))))),X3) = join(zero,join(composition(X0,complement(join(composition(X1,iPr_def_10),composition(X2,top)))),X3)),
inference(light_normalisation,[status(thm)],[c_28402,c_25131]) ).
tcf(c_28932,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,iPr_def_10),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2) = join(zero,join(X2,composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))))),
inference(theory_normalisation,[status(thm)],[c_28529,c_50,c_49]) ).
tcf(c_28933,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(X0,composition(X1,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))))) = join(composition(top,composition(converse(join(iPr_def_10,join(X2,iPr_def_10))),complement(join(iPr_def_10,composition(X2,top))))),X0),
inference(light_normalisation,[status(thm)],[c_28932,c_18938]) ).
tcf(c_28934,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,top),composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2) = join(zero,join(X2,composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))))),
inference(theory_normalisation,[status(thm)],[c_28528,c_50,c_49]) ).
tcf(c_28936,plain,
! [X0: $i,X1: $i,X2: $i] : join(zero,join(composition(X0,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2)) = join(composition(top,composition(converse(join(iPr_def_10,join(X1,iPr_def_10))),complement(join(iPr_def_10,composition(X1,top))))),X2),
inference(light_normalisation,[status(thm)],[c_28385,c_18939]) ).
tcf(c_29005,plain,
! [X0: $i,X1: $i] : join(one,converse(join(join(complement(one),X0),X1))) = top,
inference(superposition,[status(thm)],[c_56,c_27507]) ).
tcf(c_29007,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(converse(join(complement(one),X1)),X2))) = top,
inference(superposition,[status(thm)],[c_191,c_27507]) ).
tcf(c_29016,plain,
! [X0: $i,X1: $i] : join(one,composition(join(X0,one),converse(join(complement(one),X1)))) = top,
inference(superposition,[status(thm)],[c_1782,c_27507]) ).
tcf(c_29017,plain,
! [X0: $i,X1: $i] : join(one,composition(join(one,X0),converse(join(complement(one),X1)))) = top,
inference(superposition,[status(thm)],[c_1767,c_27507]) ).
tcf(c_29023,plain,
! [X0: $i] : join(one,composition(top,converse(join(complement(one),X0)))) = top,
inference(superposition,[status(thm)],[c_11631,c_27507]) ).
tcf(c_29036,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(join(X0,join(complement(one),X1))),X2)) = top,
inference(superposition,[status(thm)],[c_191,c_27507]) ).
tcf(c_29049,plain,
! [X0: $i,X1: $i] : join(one,join(converse(composition(join(X0,one),complement(one))),X1)) = top,
inference(superposition,[status(thm)],[c_1782,c_27507]) ).
tcf(c_29050,plain,
! [X0: $i,X1: $i] : join(one,join(converse(composition(join(one,X0),complement(one))),X1)) = top,
inference(superposition,[status(thm)],[c_1767,c_27507]) ).
tcf(c_29058,plain,
! [X0: $i] : join(one,join(converse(composition(top,complement(one))),X0)) = top,
inference(superposition,[status(thm)],[c_11631,c_27507]) ).
tcf(c_29065,plain,
! [X0: $i,X1: $i] : join(one,join(join(converse(join(complement(one),X0)),X1),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_27507,c_9717]) ).
tcf(c_29066,plain,
! [X0: $i,X1: $i] : join(complement(join(one,join(join(converse(join(complement(one),X0)),X1),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_27507,c_376]) ).
tcf(c_29067,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(converse(join(complement(one),X0)),X1),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_27507,c_7392]) ).
tcf(c_29070,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(join(converse(join(complement(one),X0)),X1),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_27507,c_50]) ).
tcf(c_29071,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(X0,join(converse(join(complement(one),X1)),X2))) = join(X0,top),
inference(superposition,[status(thm)],[c_27507,c_191]) ).
tcf(c_29074,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(one,converse(join(complement(one),X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_27507,c_376]) ).
tcf(c_29078,plain,
! [X0: $i,X1: $i] : join(one,converse(join(converse(join(complement(one),X0)),X1))) = converse(top),
inference(superposition,[status(thm)],[c_27507,c_1723]) ).
tcf(c_29079,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(converse(join(complement(one),X1)),X2),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_27507,c_1767]) ).
tcf(c_29104,plain,
! [X0: $i,X1: $i] : join(one,converse(join(complement(one),join(X0,X1)))) = top,
inference(theory_normalisation,[status(thm)],[c_29005,c_50,c_49]) ).
tcf(c_29105,plain,
! [X0: $i,X1: $i] : join(one,converse(join(converse(join(complement(one),X0)),X1))) = top,
inference(light_normalisation,[status(thm)],[c_29078,c_2343]) ).
tcf(c_29109,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(converse(join(complement(one),X0)),join(X1,X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_29070,c_50,c_49]) ).
tcf(c_29111,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(complement(top),join(X0,join(X1,converse(join(complement(one),X2)))))) = top,
inference(theory_normalisation,[status(thm)],[c_29067,c_50,c_49]) ).
tcf(c_29112,plain,
! [X0: $i,X1: $i,X2: $i] : join(one,join(zero,join(X0,join(X1,converse(join(complement(one),X2)))))) = top,
inference(light_normalisation,[status(thm)],[c_29111,c_107]) ).
tcf(c_29113,plain,
! [X0: $i,X1: $i] : join(one,join(converse(complement(converse(top))),join(X0,converse(join(complement(one),X1))))) = top,
inference(theory_normalisation,[status(thm)],[c_29065,c_50,c_49]) ).
tcf(c_29117,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(one,converse(join(complement(one),X1))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_29066,c_50,c_49]) ).
tcf(c_29118,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(iPr_def_11,join(X0,join(one,converse(join(complement(one),X1))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_29117,c_107]) ).
tcf(c_29137,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(complement(X0),join(X1,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_362,c_14056]) ).
tcf(c_29141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(composition(join(X0,X1),X2),join(X3,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_398,c_14056]) ).
tcf(c_29154,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,join(X0,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_12338,c_14056]) ).
tcf(c_29157,plain,
! [X0: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(X0,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13165,c_14056]) ).
tcf(c_29175,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(complement(X1),complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_362,c_14056]) ).
tcf(c_29179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(composition(join(X1,X2),X3),complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_398,c_14056]) ).
tcf(c_29192,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(iPr_def_11,complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_12338,c_14056]) ).
tcf(c_29193,plain,
! [X0: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),complement(iPr_def_12)))) = top,
inference(superposition,[status(thm)],[c_13165,c_14056]) ).
tcf(c_29205,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(complement(iPr_def_12),X2)))) = top,
inference(superposition,[status(thm)],[c_49,c_14056]) ).
tcf(c_29207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(X3,complement(iPr_def_12)))))) = top,
inference(superposition,[status(thm)],[c_50,c_14056]) ).
tcf(c_29213,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,join(X1,top))) = top,
inference(superposition,[status(thm)],[c_4192,c_14056]) ).
tcf(c_29214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),join(X3,complement(top)))) = top,
inference(superposition,[status(thm)],[c_14056,c_12854]) ).
tcf(c_29215,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_14056,c_9717]) ).
tcf(c_29216,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_14056,c_376]) ).
tcf(c_29217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),join(complement(top),X3))) = top,
inference(superposition,[status(thm)],[c_14056,c_7392]) ).
tcf(c_29219,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),complement(top))) = top,
inference(superposition,[status(thm)],[c_14056,c_375]) ).
tcf(c_29220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),X3)) = join(top,X3),
inference(superposition,[status(thm)],[c_14056,c_50]) ).
tcf(c_29223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(X3,complement(iPr_def_12)))))) = join(X0,top),
inference(superposition,[status(thm)],[c_14056,c_191]) ).
tcf(c_29224,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(iPr_def_11,join(X1,join(X2,complement(iPr_def_12))))) = top,
inference(superposition,[status(thm)],[c_14056,c_191]) ).
tcf(c_29227,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,complement(iPr_def_12))))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_14056,c_18476]) ).
tcf(c_29232,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(join(X0,join(X1,join(X2,complement(iPr_def_12)))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_14056,c_11158]) ).
tcf(c_29241,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(iPr_def_11,join(X0,join(X1,complement(iPr_def_12)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_14056,c_9109]) ).
tcf(c_29244,plain,
! [X0: $i,X1: $i] : join(join(X0,join(X1,complement(iPr_def_12))),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_14056,c_26135]) ).
tcf(c_29254,plain,
join(iPr_def_11,join(iPr_def_11,top)) = top,
inference(light_normalisation,[status(thm)],[c_29213,c_27289]) ).
tcf(c_29255,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(iPr_def_11,complement(iPr_def_12)))) = top,
inference(theory_normalisation,[status(thm)],[c_29244,c_50,c_49]) ).
tcf(c_29275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(complement(iPr_def_12),composition(join(X1,X2),X3)))) = top,
inference(theory_normalisation,[status(thm)],[c_29179,c_50,c_49]) ).
tcf(c_29276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(complement(iPr_def_12),join(composition(join(X0,X1),X2),X3))) = top,
inference(theory_normalisation,[status(thm)],[c_29141,c_50,c_49]) ).
tcf(c_29277,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),complement(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_29219,c_50,c_49]) ).
tcf(c_29278,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),zero))))) = top,
inference(light_normalisation,[status(thm)],[c_29277,c_107]) ).
tcf(c_29279,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(zero,complement(iPr_def_12)))))) = top,
inference(theory_normalisation,[status(thm)],[c_29278,c_50,c_49]) ).
tcf(c_29281,plain,
! [X0: $i,X1: $i,X2: $i] : composition(converse(join(X0,join(X1,join(X2,complement(iPr_def_12))))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29227,c_2343]) ).
tcf(c_29283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),X3))))) = join(top,X3),
inference(theory_normalisation,[status(thm)],[c_29220,c_50,c_49]) ).
tcf(c_29284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),join(complement(top),X3)))))) = top,
inference(theory_normalisation,[status(thm)],[c_29217,c_50,c_49]) ).
tcf(c_29285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),join(zero,X3)))))) = top,
inference(light_normalisation,[status(thm)],[c_29284,c_107]) ).
tcf(c_29286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(zero,join(X3,complement(iPr_def_12))))))) = top,
inference(theory_normalisation,[status(thm)],[c_29285,c_50,c_49]) ).
tcf(c_29287,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),converse(complement(converse(top)))))))) = top,
inference(theory_normalisation,[status(thm)],[c_29215,c_50,c_49]) ).
tcf(c_29290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),join(X3,complement(top))))))) = top,
inference(theory_normalisation,[status(thm)],[c_29214,c_50,c_49]) ).
tcf(c_29291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(iPr_def_11,join(X0,join(X1,join(X2,join(complement(iPr_def_12),join(X3,zero)))))) = top,
inference(light_normalisation,[status(thm)],[c_29290,c_107]) ).
tcf(c_29293,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X2,join(top,complement(iPr_def_12))))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_29232,c_50,c_49]) ).
tcf(c_29294,plain,
! [X0: $i,X1: $i,X2: $i] : join(iPr_def_11,complement(join(X0,join(X1,join(X2,join(top,complement(iPr_def_12))))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_29293,c_107]) ).
tcf(c_29295,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(iPr_def_11,join(X0,join(X1,join(X2,join(iPr_def_11,complement(iPr_def_12)))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_29216,c_50,c_49]) ).
tcf(c_29298,plain,
join(iPr_def_10,join(iPr_def_12,iPr_def_12)) = top,
inference(light_normalisation,[status(thm)],[c_10206,c_11774]) ).
tcf(c_29302,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,join(X0,X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_50,c_28104]) ).
tcf(c_29303,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,complement(join(iPr_def_10,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_28104]) ).
tcf(c_29304,plain,
composition(join(iPr_def_10,complement(join(iPr_def_10,zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1336,c_28104]) ).
tcf(c_29307,plain,
composition(join(iPr_def_10,complement(join(iPr_def_10,iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7878,c_28104]) ).
tcf(c_29310,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,complement(join(X0,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_49,c_28104]) ).
tcf(c_29313,plain,
composition(join(complement(iPr_def_10),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_59,c_28104]) ).
tcf(c_29314,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,X1),join(iPr_def_10,complement(join(X0,join(iPr_def_10,X1))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_191,c_28104]) ).
tcf(c_29315,plain,
composition(join(iPr_def_11,join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_209,c_28104]) ).
tcf(c_29316,plain,
! [X0: $i] : composition(join(join(X0,complement(join(iPr_def_10,X0))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_375,c_28104]) ).
tcf(c_29317,plain,
! [X0: $i] : composition(join(join(complement(iPr_def_10),X0),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7124,c_28104]) ).
tcf(c_29318,plain,
! [X0: $i] : composition(join(join(iPr_def_11,X0),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7123,c_28104]) ).
tcf(c_29319,plain,
composition(join(top,join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7015,c_28104]) ).
tcf(c_29320,plain,
composition(join(zero,join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1429,c_28104]) ).
tcf(c_29321,plain,
composition(join(iPr_def_12,join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11774,c_28104]) ).
tcf(c_29322,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_11),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7122,c_28104]) ).
tcf(c_29323,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,iPr_def_11)),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7305,c_28104]) ).
tcf(c_29324,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(iPr_def_11,X1)),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7698,c_28104]) ).
tcf(c_29325,plain,
composition(join(converse(complement(converse(iPr_def_10))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_2345,c_28104]) ).
tcf(c_29326,plain,
! [X0: $i] : composition(join(join(X0,converse(complement(converse(join(iPr_def_10,X0))))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_9717,c_28104]) ).
tcf(c_29327,plain,
! [X0: $i] : composition(join(join(converse(complement(converse(iPr_def_10))),X0),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_21130,c_28104]) ).
tcf(c_29328,plain,
composition(join(iPr_def_10,join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7769,c_28104]) ).
tcf(c_29329,plain,
! [X0: $i] : composition(join(composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1679,c_28104]) ).
tcf(c_29330,plain,
! [X0: $i] : composition(join(composition(converse(X0),complement(composition(X0,iPr_def_11))),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_1680,c_28104]) ).
tcf(c_29331,plain,
composition(join(complement(iPr_def_12),join(iPr_def_10,complement(complement(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13163,c_28104]) ).
tcf(c_29332,plain,
! [X0: $i] : composition(join(join(X0,complement(iPr_def_10)),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7426,c_28104]) ).
tcf(c_29333,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(complement(join(iPr_def_10,X0)),X1)),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7392,c_28104]) ).
tcf(c_29334,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(X2,iPr_def_11))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7700,c_28104]) ).
tcf(c_29335,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(iPr_def_11,X2))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7830,c_28104]) ).
tcf(c_29336,plain,
! [X0: $i] : composition(join(composition(converse(X0),complement(composition(X0,complement(iPr_def_10)))),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7774,c_28104]) ).
tcf(c_29337,plain,
! [X0: $i] : composition(join(join(iPr_def_10,X0),join(iPr_def_10,complement(join(iPr_def_10,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_7878,c_28104]) ).
tcf(c_29338,plain,
! [X0: $i] : composition(join(complement(join(iPr_def_11,X0)),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_8588,c_28104]) ).
tcf(c_29339,plain,
! [X0: $i] : composition(join(join(X0,converse(complement(converse(iPr_def_10)))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_21139,c_28104]) ).
tcf(c_29340,plain,
! [X0: $i] : composition(join(join(iPr_def_12,X0),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11838,c_28104]) ).
tcf(c_29341,plain,
composition(join(composition(complement(one),iPr_def_10),join(iPr_def_10,complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11631,c_28104]) ).
tcf(c_29342,plain,
composition(join(composition(top,complement(iPr_def_10)),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11752,c_28104]) ).
tcf(c_29343,plain,
composition(join(composition(top,iPr_def_11),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11759,c_28104]) ).
tcf(c_29344,plain,
! [X0: $i] : composition(join(join(X0,iPr_def_12),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11837,c_28104]) ).
tcf(c_29345,plain,
! [X0: $i] : composition(join(composition(X0,complement(composition(converse(X0),iPr_def_11))),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11899,c_28104]) ).
tcf(c_29346,plain,
! [X0: $i] : composition(join(join(composition(top,iPr_def_11),X0),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11990,c_28104]) ).
tcf(c_29347,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,iPr_def_12)),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12163,c_28104]) ).
tcf(c_29348,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(X2,iPr_def_12))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12476,c_28104]) ).
tcf(c_29349,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(iPr_def_12,X2))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15206,c_28104]) ).
tcf(c_29350,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,complement(join(iPr_def_10,X0)))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12854,c_28104]) ).
tcf(c_29351,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(X1,complement(iPr_def_10))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_12833,c_28104]) ).
tcf(c_29352,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(X1,join(X2,complement(iPr_def_10)))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13081,c_28104]) ).
tcf(c_29353,plain,
! [X0: $i] : composition(join(join(complement(iPr_def_12),X0),join(iPr_def_10,complement(join(complement(iPr_def_12),X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13165,c_28104]) ).
tcf(c_29354,plain,
! [X0: $i] : composition(join(join(X0,complement(iPr_def_12)),join(iPr_def_10,complement(join(X0,complement(iPr_def_12))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13166,c_28104]) ).
tcf(c_29355,plain,
! [X0: $i] : composition(join(complement(join(X0,iPr_def_11)),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13297,c_28104]) ).
tcf(c_29356,plain,
composition(join(complement(composition(top,iPr_def_11)),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13295,c_28104]) ).
tcf(c_29357,plain,
! [X0: $i,X1: $i] : composition(join(join(complement(join(iPr_def_11,X0)),X1),join(iPr_def_10,complement(join(iPr_def_10,X1)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13301,c_28104]) ).
tcf(c_29358,plain,
! [X0: $i] : composition(join(composition(complement(join(iPr_def_11,X0)),top),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13315,c_28104]) ).
tcf(c_29359,plain,
! [X0: $i] : composition(join(composition(complement(join(X0,iPr_def_11)),top),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13389,c_28104]) ).
tcf(c_29360,plain,
! [X0: $i,X1: $i] : composition(join(composition(complement(join(X0,join(iPr_def_11,X1))),top),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13365,c_28104]) ).
tcf(c_29361,plain,
composition(join(composition(complement(composition(top,iPr_def_11)),top),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13387,c_28104]) ).
tcf(c_29362,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(complement(join(iPr_def_11,X0)),top),X1),join(iPr_def_10,complement(join(iPr_def_10,X1)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13393,c_28104]) ).
tcf(c_29363,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(complement(join(iPr_def_11,X1)),top)),join(iPr_def_10,complement(join(X0,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13394,c_28104]) ).
tcf(c_29364,plain,
! [X0: $i,X1: $i] : composition(join(composition(complement(join(X0,join(X1,iPr_def_11))),top),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_13426,c_28104]) ).
tcf(c_29365,plain,
! [X0: $i,X1: $i] : composition(join(complement(join(X0,join(X1,iPr_def_11))),join(iPr_def_10,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_14735,c_28104]) ).
tcf(c_29366,plain,
! [X0: $i] : composition(join(complement(composition(iPr_def_12,X0)),join(iPr_def_10,complement(complement(composition(iPr_def_12,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15920,c_28104]) ).
tcf(c_29367,plain,
! [X0: $i] : composition(join(complement(composition(iPr_def_11,X0)),join(iPr_def_10,complement(complement(composition(iPr_def_11,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_15924,c_28104]) ).
tcf(c_29368,plain,
! [X0: $i] : composition(join(composition(complement(composition(iPr_def_12,X0)),top),join(iPr_def_10,complement(composition(complement(composition(iPr_def_12,X0)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16092,c_28104]) ).
tcf(c_29369,plain,
! [X0: $i] : composition(join(composition(complement(composition(iPr_def_11,X0)),top),join(iPr_def_10,complement(composition(complement(composition(iPr_def_11,X0)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16108,c_28104]) ).
tcf(c_29370,plain,
! [X0: $i,X1: $i] : join(composition(X0,converse(join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1)))))),converse(converse(iPr_def_10))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1)))))),
inference(superposition,[status(thm)],[c_28104,c_395]) ).
tcf(c_29371,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))),X2),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X2,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_28104,c_388]) ).
tcf(c_29372,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(converse(iPr_def_10)),complement(composition(join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1)))),composition(converse(iPr_def_10),X0))))) = complement(X0),
inference(superposition,[status(thm)],[c_28104,c_385]) ).
tcf(c_29373,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),X1),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(superposition,[status(thm)],[c_28104,c_398]) ).
tcf(c_29374,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),composition(X1,X2)),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(superposition,[status(thm)],[c_28104,c_393]) ).
tcf(c_29375,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))))) = composition(join(converse(converse(iPr_def_10)),X0),converse(join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1)))))),
inference(superposition,[status(thm)],[c_28104,c_390]) ).
tcf(c_29376,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),composition(converse(iPr_def_10),iPr_def_10))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_28104,c_433]) ).
tcf(c_29377,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),X1),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_28104,c_54]) ).
tcf(c_29378,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),composition(converse(iPr_def_10),X1)) = composition(converse(iPr_def_10),X1),
inference(superposition,[status(thm)],[c_28104,c_52]) ).
tcf(c_29379,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))),converse(iPr_def_10)),X2) = join(composition(X0,converse(iPr_def_10)),join(converse(iPr_def_10),X2)),
inference(superposition,[status(thm)],[c_28104,c_398]) ).
tcf(c_29380,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_54]) ).
tcf(c_29381,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),join(composition(converse(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0))))),complement(converse(iPr_def_10))),X1)) = join(complement(converse(iPr_def_10)),X1),
inference(superposition,[status(thm)],[c_28104,c_362]) ).
tcf(c_29382,plain,
! [X0: $i] : composition(join(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),one),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_1782]) ).
tcf(c_29383,plain,
! [X0: $i] : composition(join(one,join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_1767]) ).
tcf(c_29384,plain,
! [X0: $i] : join(complement(converse(iPr_def_10)),composition(converse(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0))))),complement(converse(iPr_def_10)))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_76]) ).
tcf(c_29385,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),converse(X1)),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_28104,c_395]) ).
tcf(c_29386,plain,
! [X0: $i] : composition(iPr_def_10,converse(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))))) = converse(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_225]) ).
tcf(c_29387,plain,
! [X0: $i,X1: $i] : join(complement(converse(iPr_def_10)),composition(converse(composition(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1)))))),complement(composition(X0,converse(iPr_def_10))))) = complement(converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_385]) ).
tcf(c_29388,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(composition(X0,X1),join(X2,join(iPr_def_10,complement(join(iPr_def_10,X2))))),converse(iPr_def_10)) = join(composition(X0,composition(X1,converse(iPr_def_10))),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_388]) ).
tcf(c_29389,plain,
! [X0: $i,X1: $i] : composition(join(converse(X0),join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))),converse(iPr_def_10)) = join(converse(composition(iPr_def_10,X0)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_28104,c_390]) ).
tcf(c_29390,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,composition(X1,join(X2,join(iPr_def_10,complement(join(iPr_def_10,X2)))))),converse(iPr_def_10)) = join(composition(X0,converse(iPr_def_10)),composition(X1,converse(iPr_def_10))),
inference(superposition,[status(thm)],[c_28104,c_393]) ).
tcf(c_29395,plain,
composition(join(iPr_def_10,join(iPr_def_12,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29321,c_50,c_49]) ).
tcf(c_29396,plain,
composition(join(iPr_def_10,join(iPr_def_12,zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29395,c_107]) ).
tcf(c_29397,plain,
composition(join(iPr_def_10,join(zero,complement(iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29320,c_50,c_49]) ).
tcf(c_29398,plain,
composition(join(iPr_def_10,join(zero,iPr_def_11)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29397,c_192]) ).
tcf(c_29399,plain,
composition(join(iPr_def_10,join(iPr_def_11,zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29398,c_50,c_49]) ).
tcf(c_29400,plain,
composition(join(iPr_def_10,join(top,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29319,c_50,c_49]) ).
tcf(c_29401,plain,
composition(join(iPr_def_10,join(top,zero)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29400,c_107]) ).
tcf(c_29402,plain,
composition(join(iPr_def_10,join(iPr_def_11,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29315,c_50,c_49]) ).
tcf(c_29404,plain,
composition(join(iPr_def_10,join(complement(iPr_def_10),complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29313,c_50,c_49]) ).
tcf(c_29406,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(iPr_def_12,complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29344,c_50,c_49]) ).
tcf(c_29407,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(iPr_def_12,zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29406,c_107]) ).
tcf(c_29408,plain,
composition(join(iPr_def_10,join(complement(top),composition(top,iPr_def_11))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29343,c_50,c_49]) ).
tcf(c_29410,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(iPr_def_12,complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29340,c_50,c_49]) ).
tcf(c_29412,plain,
composition(join(iPr_def_10,join(complement(iPr_def_12),complement(complement(iPr_def_12)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29331,c_50,c_49]) ).
tcf(c_29413,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(iPr_def_11,complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29322,c_50,c_49]) ).
tcf(c_29414,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(iPr_def_11,zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29413,c_107]) ).
tcf(c_29415,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(iPr_def_11,complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29318,c_50,c_49]) ).
tcf(c_29416,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(iPr_def_11,zero))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29415,c_107]) ).
tcf(c_29417,plain,
composition(join(iPr_def_10,join(complement(iPr_def_10),complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29356,c_50,c_49]) ).
tcf(c_29418,plain,
composition(join(iPr_def_10,join(iPr_def_11,complement(composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29417,c_192]) ).
tcf(c_29419,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),complement(join(X0,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29355,c_50,c_49]) ).
tcf(c_29420,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,complement(join(X0,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29419,c_192]) ).
tcf(c_29421,plain,
composition(join(iPr_def_10,join(complement(top),composition(top,complement(iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29342,c_50,c_49]) ).
tcf(c_29423,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),complement(join(iPr_def_11,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29338,c_50,c_49]) ).
tcf(c_29424,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,complement(join(iPr_def_11,X0)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29423,c_192]) ).
tcf(c_29425,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(complement(iPr_def_10),complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29332,c_50,c_49]) ).
tcf(c_29427,plain,
composition(join(iPr_def_10,join(complement(top),converse(complement(converse(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29325,c_50,c_49]) ).
tcf(c_29428,plain,
composition(join(iPr_def_10,join(zero,converse(complement(converse(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29427,c_107]) ).
tcf(c_29429,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(complement(iPr_def_10),complement(top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29317,c_50,c_49]) ).
tcf(c_29432,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(iPr_def_12,complement(top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29347,c_50,c_49]) ).
tcf(c_29433,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(iPr_def_12,zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29432,c_107]) ).
tcf(c_29434,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(complement(top),composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29346,c_50,c_49]) ).
tcf(c_29435,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(zero,composition(top,iPr_def_11)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29434,c_107]) ).
tcf(c_29436,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29337,c_50,c_49]) ).
tcf(c_29437,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,join(iPr_def_11,complement(top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29324,c_50,c_49]) ).
tcf(c_29438,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,join(iPr_def_11,zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29437,c_107]) ).
tcf(c_29439,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(iPr_def_11,complement(top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29323,c_50,c_49]) ).
tcf(c_29440,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(iPr_def_11,zero)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29439,c_107]) ).
tcf(c_29442,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),complement(join(X0,join(X1,iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29365,c_50,c_49]) ).
tcf(c_29443,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_11,complement(join(X0,join(X1,iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29442,c_192]) ).
tcf(c_29444,plain,
composition(join(iPr_def_10,join(complement(iPr_def_10),composition(complement(composition(top,iPr_def_11)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29361,c_50,c_49]) ).
tcf(c_29445,plain,
composition(join(iPr_def_10,join(iPr_def_11,composition(complement(composition(top,iPr_def_11)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29444,c_192]) ).
tcf(c_29446,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(X0,iPr_def_11)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29359,c_50,c_49]) ).
tcf(c_29447,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,iPr_def_11)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29446,c_192]) ).
tcf(c_29448,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(iPr_def_11,X0)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29358,c_50,c_49]) ).
tcf(c_29449,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(complement(join(iPr_def_11,X0)),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29448,c_192]) ).
tcf(c_29450,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(complement(iPr_def_10),complement(top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29351,c_50,c_49]) ).
tcf(c_29452,plain,
composition(join(iPr_def_10,join(complement(composition(top,iPr_def_10)),composition(complement(one),iPr_def_10))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29341,c_50,c_49]) ).
tcf(c_29453,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(complement(top),converse(complement(converse(iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29339,c_50,c_49]) ).
tcf(c_29454,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(zero,converse(complement(converse(iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29453,c_107]) ).
tcf(c_29455,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(complement(top),converse(complement(converse(iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29327,c_50,c_49]) ).
tcf(c_29456,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(zero,converse(complement(converse(iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29455,c_107]) ).
tcf(c_29457,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(complement(top),complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29316,c_50,c_49]) ).
tcf(c_29458,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(zero,complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29457,c_107]) ).
tcf(c_29459,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(composition(iPr_def_11,X0)),complement(complement(composition(iPr_def_11,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29367,c_50,c_49]) ).
tcf(c_29461,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(composition(iPr_def_12,X0)),complement(complement(composition(iPr_def_12,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29366,c_50,c_49]) ).
tcf(c_29463,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(complement(iPr_def_12),complement(join(X0,complement(iPr_def_12)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29354,c_50,c_49]) ).
tcf(c_29464,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(complement(iPr_def_12),complement(join(complement(iPr_def_12),X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29353,c_50,c_49]) ).
tcf(c_29465,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(X2,join(iPr_def_12,complement(top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29349,c_50,c_49]) ).
tcf(c_29466,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(X2,join(iPr_def_12,zero))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29465,c_107]) ).
tcf(c_29467,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,join(iPr_def_12,complement(top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29348,c_50,c_49]) ).
tcf(c_29468,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,join(iPr_def_12,zero))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29467,c_107]) ).
tcf(c_29469,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(X0,complement(composition(converse(X0),iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29345,c_50,c_49]) ).
tcf(c_29470,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(X0,complement(composition(converse(X0),iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29469,c_192]) ).
tcf(c_29471,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(X2,join(iPr_def_11,complement(top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29335,c_50,c_49]) ).
tcf(c_29472,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(X2,join(iPr_def_11,zero))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29471,c_107]) ).
tcf(c_29473,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,join(iPr_def_11,complement(top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29334,c_50,c_49]) ).
tcf(c_29474,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,join(iPr_def_11,zero))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29473,c_107]) ).
tcf(c_29475,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),complement(composition(X0,iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29330,c_50,c_49]) ).
tcf(c_29476,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_11))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29475,c_192]) ).
tcf(c_29477,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,complement(join(X0,join(iPr_def_10,X1)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29314,c_50,c_49]) ).
tcf(c_29479,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(one,complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_29383,c_50,c_49]) ).
tcf(c_29480,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(one,complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_29382,c_50,c_49]) ).
tcf(c_29481,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(X0,join(X1,iPr_def_11))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29364,c_50,c_49]) ).
tcf(c_29482,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(X1,iPr_def_11))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29481,c_192]) ).
tcf(c_29483,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(complement(join(X0,join(iPr_def_11,X1))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29360,c_50,c_49]) ).
tcf(c_29484,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(complement(join(X0,join(iPr_def_11,X1))),top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29483,c_192]) ).
tcf(c_29485,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(complement(join(iPr_def_11,X1)),complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29357,c_50,c_49]) ).
tcf(c_29486,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(X1,join(X2,join(iPr_def_10,join(complement(iPr_def_10),complement(top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29352,c_50,c_49]) ).
tcf(c_29488,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(complement(top),complement(join(iPr_def_10,X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29350,c_50,c_49]) ).
tcf(c_29489,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,join(zero,complement(join(iPr_def_10,X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29488,c_107]) ).
tcf(c_29490,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),complement(composition(X0,complement(iPr_def_10)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29336,c_50,c_49]) ).
tcf(c_29492,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,join(complement(top),complement(join(iPr_def_10,X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29333,c_50,c_49]) ).
tcf(c_29493,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(X1,join(zero,complement(join(iPr_def_10,X0)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29492,c_107]) ).
tcf(c_29494,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(complement(top),converse(complement(converse(join(iPr_def_10,X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29326,c_50,c_49]) ).
tcf(c_29495,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(zero,converse(complement(converse(join(iPr_def_10,X0))))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29494,c_107]) ).
tcf(c_29496,plain,
! [X0: $i] : composition(join(iPr_def_10,join(complement(iPr_def_10),composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29329,c_50,c_49]) ).
tcf(c_29497,plain,
! [X0: $i] : composition(join(iPr_def_10,join(iPr_def_11,composition(converse(X0),composition(complement(composition(X0,iPr_def_11)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29496,c_192]) ).
tcf(c_29498,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X0,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_29380,c_50,c_49]) ).
tcf(c_29499,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(complement(join(iPr_def_10,X0)),X1))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,converse(iPr_def_10))),
inference(theory_normalisation,[status(thm)],[c_29377,c_50,c_49]) ).
tcf(c_29500,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(complement(join(X0,iPr_def_10)),composition(complement(join(iPr_def_11,X1)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29363,c_50,c_49]) ).
tcf(c_29501,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(composition(complement(join(iPr_def_11,X1)),top),complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29362,c_50,c_49]) ).
tcf(c_29502,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,join(X0,join(converse(X1),complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_29389,c_50,c_49]) ).
tcf(c_29503,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(iPr_def_10,join(complement(join(iPr_def_10,X0)),converse(X1)))),converse(iPr_def_10)) = join(converse(iPr_def_10),converse(composition(iPr_def_10,X1))),
inference(theory_normalisation,[status(thm)],[c_29385,c_50,c_49]) ).
tcf(c_29504,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(converse(iPr_def_10)),complement(composition(join(X0,join(iPr_def_10,complement(join(iPr_def_10,X0)))),composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_29376,c_19078]) ).
tcf(c_29505,plain,
! [X0: $i] : composition(join(iPr_def_10,join(composition(complement(composition(iPr_def_11,X0)),top),complement(composition(complement(composition(iPr_def_11,X0)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29369,c_50,c_49]) ).
tcf(c_29507,plain,
! [X0: $i] : composition(join(iPr_def_10,join(composition(complement(composition(iPr_def_12,X0)),top),complement(composition(complement(composition(iPr_def_12,X0)),top)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29368,c_50,c_49]) ).
tcf(c_29509,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(iPr_def_10,join(X0,join(composition(X1,X2),complement(join(iPr_def_10,X0))))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_29388,c_50,c_49]) ).
tcf(c_29510,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(X2,composition(X0,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_29379,c_50,c_49]) ).
tcf(c_29511,plain,
! [X0: $i,X1: $i,X2: $i] : composition(join(X0,join(iPr_def_10,join(complement(join(iPr_def_10,X0)),composition(X1,X2)))),converse(iPr_def_10)) = join(converse(iPr_def_10),composition(X1,composition(X2,converse(iPr_def_10)))),
inference(theory_normalisation,[status(thm)],[c_29374,c_50,c_49]) ).
tcf(c_29512,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,join(iPr_def_10,join(complement(join(iPr_def_10,X0)),X1))),converse(iPr_def_10)),X2) = join(converse(iPr_def_10),join(composition(X1,converse(iPr_def_10)),X2)),
inference(theory_normalisation,[status(thm)],[c_29373,c_50,c_49]) ).
tcf(c_29513,plain,
! [X0: $i,X1: $i] : join(converse(converse(iPr_def_10)),composition(X0,converse(join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1))))))) = composition(join(X0,converse(converse(iPr_def_10))),converse(join(X1,join(iPr_def_10,complement(join(iPr_def_10,X1)))))),
inference(theory_normalisation,[status(thm)],[c_29370,c_50,c_49]) ).
tcf(c_29550,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(top,complement(X0)),X1)) = top,
inference(demodulation,[status(thm)],[c_14142,c_7096]) ).
tcf(c_29561,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(top,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_49,c_29550]) ).
tcf(c_29564,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(top,X1),complement(X0))) = top,
inference(superposition,[status(thm)],[c_54,c_29550]) ).
tcf(c_29566,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(composition(top,complement(X0)),X2))) = top,
inference(superposition,[status(thm)],[c_191,c_29550]) ).
tcf(c_29570,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(join(top,X1),complement(X0)),X2)) = top,
inference(superposition,[status(thm)],[c_398,c_29550]) ).
tcf(c_29577,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,one),composition(top,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_1782,c_29550]) ).
tcf(c_29578,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(one,X1),composition(top,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_1767,c_29550]) ).
tcf(c_29584,plain,
! [X0: $i] : join(X0,composition(top,composition(top,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_11631,c_29550]) ).
tcf(c_29590,plain,
! [X0: $i] : join(composition(converse(top),top),join(zero,X0)) = top,
inference(superposition,[status(thm)],[c_9546,c_29550]) ).
tcf(c_29591,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(composition(top,X0),X1)) = top,
inference(superposition,[status(thm)],[c_7732,c_29550]) ).
tcf(c_29592,plain,
! [X0: $i] : join(top,join(composition(top,zero),X0)) = top,
inference(superposition,[status(thm)],[c_107,c_29550]) ).
tcf(c_29595,plain,
! [X0: $i] : join(zero,join(composition(top,top),X0)) = top,
inference(superposition,[status(thm)],[c_1431,c_29550]) ).
tcf(c_29598,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(composition(top,complement(X0)),X1),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_29550,c_376]) ).
tcf(c_29599,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(composition(top,complement(X0)),X1),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_29550,c_7392]) ).
tcf(c_29602,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(composition(top,complement(X0)),X1),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_29550,c_50]) ).
tcf(c_29604,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(composition(top,complement(join(X0,X1))),X2))) = top,
inference(superposition,[status(thm)],[c_29550,c_50]) ).
tcf(c_29606,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(composition(top,complement(X0)),X2))) = join(X1,top),
inference(superposition,[status(thm)],[c_29550,c_191]) ).
tcf(c_29607,plain,
! [X0: $i] : join(composition(top,complement(zero)),X0) = top,
inference(superposition,[status(thm)],[c_29550,c_1336]) ).
tcf(c_29610,plain,
! [X0: $i] : composition(converse(join(composition(top,complement(iPr_def_11)),X0)),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_29550,c_18476]) ).
tcf(c_29615,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(composition(top,complement(iPr_def_11)),X0),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_29550,c_11158]) ).
tcf(c_29617,plain,
! [X0: $i] : join(iPr_def_12,composition(join(composition(top,complement(iPr_def_11)),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29550,c_391]) ).
tcf(c_29620,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(composition(top,complement(converse(X0))),X1))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_29550,c_776]) ).
tcf(c_29622,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(composition(top,complement(converse(X0))),X1))) = converse(top),
inference(superposition,[status(thm)],[c_29550,c_221]) ).
tcf(c_29623,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(top,complement(composition(converse(X1),complement(composition(X1,X0))))),X2)) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_29550,c_362]) ).
tcf(c_29624,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(composition(top,complement(iPr_def_10)),X1)),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_29550,c_9109]) ).
tcf(c_29625,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(top,complement(complement(join(iPr_def_11,complement(X0))))),X1)) = join(complement(join(X0,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_29550,c_369]) ).
tcf(c_29626,plain,
! [X0: $i] : composition(join(join(composition(top,complement(iPr_def_10)),X0),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_29550,c_28104]) ).
tcf(c_29627,plain,
! [X0: $i] : composition(converse(join(composition(top,complement(iPr_def_10)),X0)),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_29550,c_20457]) ).
tcf(c_29628,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(composition(top,complement(iPr_def_10)),X0),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_29550,c_18626]) ).
tcf(c_29629,plain,
! [X0: $i] : composition(converse(join(composition(top,complement(iPr_def_10)),X0)),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_29550,c_16861]) ).
tcf(c_29630,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(composition(top,complement(iPr_def_10)),X0),top)))) = zero,
inference(superposition,[status(thm)],[c_29550,c_9562]) ).
tcf(c_29631,plain,
! [X0: $i] : join(iPr_def_10,composition(join(composition(top,complement(iPr_def_10)),X0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29550,c_392]) ).
tcf(c_29633,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_11,complement(join(X0,composition(top,complement(X0))))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_29550,c_376]) ).
tcf(c_29636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(composition(top,complement(composition(X1,X2))),X3)) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_29550,c_398]) ).
tcf(c_29640,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(composition(top,complement(composition(converse(X0),complement(composition(X0,iPr_def_10))))),X1)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_29550,c_434]) ).
tcf(c_29641,plain,
! [X0: $i] : composition(join(composition(top,complement(converse(iPr_def_10))),X0),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_29550,c_20452]) ).
tcf(c_29642,plain,
! [X0: $i] : composition(join(composition(top,complement(converse(iPr_def_10))),X0),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_29550,c_16856]) ).
tcf(c_29645,plain,
! [X0: $i] : join(one,converse(join(composition(top,complement(one)),X0))) = converse(top),
inference(superposition,[status(thm)],[c_29550,c_1723]) ).
tcf(c_29646,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(composition(top,complement(one)),X1),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_29550,c_1767]) ).
tcf(c_29651,plain,
composition(iPr_def_10,composition(converse(top),complement(join(iPr_def_10,composition(composition(top,complement(iPr_def_10)),top))))) = zero,
inference(superposition,[status(thm)],[c_29550,c_18823]) ).
tcf(c_29652,plain,
composition(top,composition(converse(top),complement(join(iPr_def_10,composition(composition(top,complement(iPr_def_10)),top))))) = zero,
inference(superposition,[status(thm)],[c_29550,c_18222]) ).
tcf(c_29653,plain,
! [X0: $i] : composition(join(composition(top,complement(converse(iPr_def_11))),X0),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_29550,c_18471]) ).
tcf(c_29654,plain,
! [X0: $i] : join(join(composition(top,complement(iPr_def_12)),X0),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_29550,c_26135]) ).
tcf(c_29657,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,complement(iPr_def_12)),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_29550,c_3214]) ).
tcf(c_29658,plain,
! [X0: $i] : composition(join(composition(top,complement(converse(iPr_def_12))),X0),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_29550,c_20661]) ).
tcf(c_29665,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(top,complement(complement(join(iPr_def_11,X0)))),X1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_29550,c_13301]) ).
tcf(c_29676,plain,
! [X0: $i] : join(iPr_def_11,join(composition(top,complement(complement(converse(complement(converse(iPr_def_11)))))),X0)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_29550,c_12338]) ).
tcf(c_29677,plain,
join(composition(top,complement(iPr_def_11)),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_29550,c_12339]) ).
tcf(c_29687,plain,
join(composition(top,complement(iPr_def_10)),complement(iPr_def_12)) = top,
inference(superposition,[status(thm)],[c_29550,c_13166]) ).
tcf(c_29688,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(top,complement(composition(complement(join(iPr_def_11,X0)),top))),X1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_29550,c_13393]) ).
tcf(c_29689,plain,
join(composition(top,complement(iPr_def_10)),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_29550,c_13394]) ).
tcf(c_29696,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(top,complement(composition(X0,top))),X1),X0),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_29550,c_25205]) ).
tcf(c_29699,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(composition(top,complement(composition(X0,iPr_def_10))),X1),top)))) = zero,
inference(superposition,[status(thm)],[c_29550,c_23788]) ).
tcf(c_29700,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(composition(top,complement(composition(X0,iPr_def_10))),X1),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29550,c_22679]) ).
tcf(c_29702,plain,
! [X0: $i,X1: $i] : composition(join(join(composition(top,complement(composition(X0,top))),X1),join(X0,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_29550,c_25298]) ).
tcf(c_29711,plain,
join(iPr_def_10,composition(top,complement(iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_29689,c_50,c_49]) ).
tcf(c_29713,plain,
join(iPr_def_11,composition(top,complement(iPr_def_11))) = top,
inference(theory_normalisation,[status(thm)],[c_29677,c_50,c_49]) ).
tcf(c_29730,plain,
join(complement(iPr_def_12),composition(top,complement(iPr_def_10))) = top,
inference(theory_normalisation,[status(thm)],[c_29687,c_50,c_49]) ).
tcf(c_29735,plain,
! [X0: $i] : join(zero,join(X0,composition(converse(top),top))) = top,
inference(theory_normalisation,[status(thm)],[c_29590,c_50,c_49]) ).
tcf(c_29740,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,complement(iPr_def_12)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_29654,c_50,c_49]) ).
tcf(c_29742,plain,
! [X0: $i] : join(one,converse(join(composition(top,complement(one)),X0))) = top,
inference(light_normalisation,[status(thm)],[c_29645,c_2343]) ).
tcf(c_29743,plain,
! [X0: $i] : composition(join(composition(top,complement(converse(iPr_def_10))),X0),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_29641,c_19797]) ).
tcf(c_29744,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(composition(top,complement(converse(X0))),X1))) = top,
inference(light_normalisation,[status(thm)],[c_29622,c_2343]) ).
tcf(c_29754,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(composition(top,complement(X0)),join(X1,X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_29602,c_50,c_49]) ).
tcf(c_29756,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(complement(top),join(X1,join(X2,composition(top,complement(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_29599,c_50,c_49]) ).
tcf(c_29757,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(zero,join(X1,join(X2,composition(top,complement(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_29756,c_107]) ).
tcf(c_29764,plain,
! [X0: $i] : join(iPr_def_11,complement(join(top,join(X0,composition(top,complement(iPr_def_11)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_29615,c_50,c_49]) ).
tcf(c_29766,plain,
! [X0: $i] : composition(join(iPr_def_10,join(X0,join(complement(top),composition(top,complement(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29626,c_50,c_49]) ).
tcf(c_29768,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(composition(top,complement(composition(X0,iPr_def_10))),X1),top)) = top,
inference(light_normalisation,[status(thm)],[c_29700,c_11762]) ).
tcf(c_29769,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(top,complement(composition(X0,top))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_29696,c_50,c_49]) ).
tcf(c_29770,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(top,complement(composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29769,c_16909]) ).
tcf(c_29772,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),composition(top,complement(composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29702,c_50,c_49]) ).
tcf(c_29773,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,composition(top,complement(composition(X0,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29772,c_107]) ).
tcf(c_29774,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(top,complement(complement(join(iPr_def_11,complement(X0))))),X1)) = join(top,complement(join(X0,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_29625,c_50,c_49]) ).
tcf(c_29775,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(composition(top,complement(complement(join(iPr_def_11,complement(X0))))),X1)) = join(iPr_def_10,top),
inference(light_normalisation,[status(thm)],[c_29774,c_18041]) ).
tcf(c_29776,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(iPr_def_11,join(X1,composition(top,complement(X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_29598,c_50,c_49]) ).
tcf(c_29777,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(iPr_def_11,join(X1,composition(top,complement(X0))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_29776,c_107]) ).
tcf(c_29778,plain,
! [X0: $i,X1: $i] : composition(top,complement(join(composition(X0,iPr_def_10),composition(join(composition(top,complement(composition(X0,iPr_def_10))),X1),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_29699,c_2343]) ).
tcf(c_29779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(composition(top,complement(composition(X1,X2))),X3)) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_29636,c_50,c_49]) ).
tcf(c_29780,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(composition(top,complement(composition(converse(X1),complement(composition(X1,X0))))),X2)) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_29623,c_50,c_49]) ).
tcf(c_29781,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(iPr_def_10,join(X0,composition(top,complement(iPr_def_10)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_29628,c_50,c_49]) ).
tcf(c_29782,plain,
join(iPr_def_11,composition(top,composition(top,complement(composition(top,iPr_def_10))))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_29781,c_192,c_2343,c_11764,c_19230]) ).
tcf(c_29801,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,composition(top,complement(X0))))) = top,
inference(superposition,[status(thm)],[c_50,c_29561]) ).
tcf(c_29802,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,top),complement(X0))) = top,
inference(superposition,[status(thm)],[c_54,c_29561]) ).
tcf(c_29804,plain,
! [X0: $i] : join(composition(converse(top),X0),complement(X0)) = top,
inference(superposition,[status(thm)],[c_350,c_29561]) ).
tcf(c_29806,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(composition(X1,X2),top),complement(X0))) = top,
inference(superposition,[status(thm)],[c_388,c_29561]) ).
tcf(c_29807,plain,
join(composition(converse(top),iPr_def_10),iPr_def_11) = top,
inference(superposition,[status(thm)],[c_432,c_29561]) ).
tcf(c_29810,plain,
! [X0: $i] : join(X0,composition(join(one,top),complement(X0))) = top,
inference(superposition,[status(thm)],[c_1767,c_29561]) ).
tcf(c_29812,plain,
join(converse(top),complement(one)) = top,
inference(superposition,[status(thm)],[c_9621,c_29561]) ).
tcf(c_29814,plain,
join(composition(converse(top),iPr_def_11),iPr_def_10) = top,
inference(superposition,[status(thm)],[c_11899,c_29561]) ).
tcf(c_29818,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X1,composition(top,X0))) = top,
inference(superposition,[status(thm)],[c_7732,c_29561]) ).
tcf(c_29819,plain,
! [X0: $i] : join(top,join(X0,composition(top,zero))) = top,
inference(superposition,[status(thm)],[c_107,c_29561]) ).
tcf(c_29822,plain,
! [X0: $i] : join(zero,join(X0,composition(top,top))) = top,
inference(superposition,[status(thm)],[c_1431,c_29561]) ).
tcf(c_29824,plain,
! [X0: $i,X1: $i] : join(X0,join(join(X1,composition(top,complement(X0))),converse(complement(converse(top))))) = top,
inference(superposition,[status(thm)],[c_29561,c_9717]) ).
tcf(c_29825,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(join(X1,composition(top,complement(X0))),iPr_def_11))),complement(join(iPr_def_11,complement(top)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_29561,c_376]) ).
tcf(c_29826,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,composition(top,complement(X0))),join(complement(top),X2))) = top,
inference(superposition,[status(thm)],[c_29561,c_7392]) ).
tcf(c_29829,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(join(X1,composition(top,complement(X0))),X2)) = join(top,X2),
inference(superposition,[status(thm)],[c_29561,c_50]) ).
tcf(c_29832,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,composition(top,complement(join(X0,X1)))))) = top,
inference(superposition,[status(thm)],[c_29561,c_50]) ).
tcf(c_29834,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,composition(top,complement(X0))))) = join(X1,top),
inference(superposition,[status(thm)],[c_29561,c_191]) ).
tcf(c_29835,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(top,complement(X1)))) = top,
inference(superposition,[status(thm)],[c_29561,c_191]) ).
tcf(c_29836,plain,
! [X0: $i] : join(X0,composition(top,complement(zero))) = top,
inference(superposition,[status(thm)],[c_29561,c_1336]) ).
tcf(c_29839,plain,
! [X0: $i] : composition(converse(join(X0,composition(top,complement(iPr_def_11)))),iPr_def_10) = composition(converse(top),iPr_def_10),
inference(superposition,[status(thm)],[c_29561,c_18476]) ).
tcf(c_29844,plain,
! [X0: $i] : join(iPr_def_11,complement(join(join(X0,composition(top,complement(iPr_def_11))),top))) = join(iPr_def_11,complement(top)),
inference(superposition,[status(thm)],[c_29561,c_11158]) ).
tcf(c_29846,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,composition(top,complement(iPr_def_11))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29561,c_391]) ).
tcf(c_29849,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,composition(join(X0,converse(join(X1,composition(top,complement(converse(X0)))))),complement(composition(top,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_29561,c_776]) ).
tcf(c_29851,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,composition(top,complement(converse(X0)))))) = converse(top),
inference(superposition,[status(thm)],[c_29561,c_221]) ).
tcf(c_29852,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,composition(top,complement(composition(converse(X2),complement(composition(X2,X0))))))) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_29561,c_362]) ).
tcf(c_29853,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(complement(X0)))) = top,
inference(superposition,[status(thm)],[c_29561,c_362]) ).
tcf(c_29854,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,composition(top,complement(iPr_def_10)))),top)) = composition(join(X0,top),top),
inference(superposition,[status(thm)],[c_29561,c_9109]) ).
tcf(c_29855,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(top,complement(complement(join(iPr_def_11,complement(X1))))))) = join(complement(join(X1,iPr_def_11)),top),
inference(superposition,[status(thm)],[c_29561,c_369]) ).
tcf(c_29856,plain,
! [X0: $i] : composition(join(join(X0,composition(top,complement(iPr_def_10))),join(iPr_def_10,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_29561,c_28104]) ).
tcf(c_29857,plain,
! [X0: $i] : composition(converse(join(X0,composition(top,complement(iPr_def_10)))),iPr_def_12) = composition(converse(top),iPr_def_12),
inference(superposition,[status(thm)],[c_29561,c_20457]) ).
tcf(c_29858,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(join(X0,composition(top,complement(iPr_def_10))),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_29561,c_18626]) ).
tcf(c_29859,plain,
! [X0: $i] : composition(converse(join(X0,composition(top,complement(iPr_def_10)))),iPr_def_11) = composition(converse(top),iPr_def_11),
inference(superposition,[status(thm)],[c_29561,c_16861]) ).
tcf(c_29860,plain,
! [X0: $i] : composition(converse(top),complement(join(iPr_def_10,composition(join(X0,composition(top,complement(iPr_def_10))),top)))) = zero,
inference(superposition,[status(thm)],[c_29561,c_9562]) ).
tcf(c_29861,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,complement(iPr_def_10))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29561,c_392]) ).
tcf(c_29862,plain,
! [X0: $i] : join(iPr_def_10,composition(top,complement(complement(join(X0,iPr_def_11))))) = top,
inference(superposition,[status(thm)],[c_29561,c_369]) ).
tcf(c_29863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,composition(top,complement(composition(X1,X2))))) = join(composition(X0,X2),top),
inference(superposition,[status(thm)],[c_29561,c_398]) ).
tcf(c_29864,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),composition(top,complement(composition(X0,X2)))) = top,
inference(superposition,[status(thm)],[c_29561,c_398]) ).
tcf(c_29868,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,composition(top,complement(composition(converse(X1),complement(composition(X1,iPr_def_10))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_29561,c_434]) ).
tcf(c_29870,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,complement(X0))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29561,c_9109]) ).
tcf(c_29871,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(converse(iPr_def_10)))),iPr_def_12) = composition(top,iPr_def_12),
inference(superposition,[status(thm)],[c_29561,c_20452]) ).
tcf(c_29872,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(converse(iPr_def_10)))),iPr_def_11) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_29561,c_16856]) ).
tcf(c_29877,plain,
! [X0: $i] : join(one,converse(join(X0,composition(top,complement(one))))) = converse(top),
inference(superposition,[status(thm)],[c_29561,c_1723]) ).
tcf(c_29878,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(X1,composition(top,complement(one))),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_29561,c_1767]) ).
tcf(c_29881,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(converse(iPr_def_11)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_29561,c_18471]) ).
tcf(c_29882,plain,
! [X0: $i] : join(join(X0,composition(top,complement(iPr_def_12))),iPr_def_11) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_29561,c_26135]) ).
tcf(c_29883,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,composition(top,complement(iPr_def_12))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29561,c_11839]) ).
tcf(c_29888,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(converse(iPr_def_12)))),iPr_def_10) = composition(top,iPr_def_10),
inference(superposition,[status(thm)],[c_29561,c_20661]) ).
tcf(c_29893,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(top,complement(complement(join(iPr_def_11,X1)))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_29561,c_13301]) ).
tcf(c_29901,plain,
! [X0: $i] : join(iPr_def_11,join(X0,composition(top,complement(complement(converse(complement(converse(iPr_def_11)))))))) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_29561,c_12338]) ).
tcf(c_29907,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(top,complement(composition(complement(join(iPr_def_11,X1)),top))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_29561,c_13393]) ).
tcf(c_29913,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(top,complement(composition(X1,top)))),X1),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_29561,c_25205]) ).
tcf(c_29915,plain,
! [X0: $i,X1: $i] : composition(converse(top),complement(join(composition(X0,iPr_def_10),composition(join(X1,composition(top,complement(composition(X0,iPr_def_10)))),top)))) = zero,
inference(superposition,[status(thm)],[c_29561,c_23788]) ).
tcf(c_29916,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,composition(top,complement(composition(X0,iPr_def_10)))),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_29561,c_22679]) ).
tcf(c_29918,plain,
! [X0: $i,X1: $i] : composition(join(join(X0,composition(top,complement(composition(X1,top)))),join(X1,complement(top))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_29561,c_25298]) ).
tcf(c_29921,plain,
join(complement(one),converse(top)) = top,
inference(theory_normalisation,[status(thm)],[c_29812,c_50,c_49]) ).
tcf(c_29922,plain,
join(complement(one),top) = top,
inference(light_normalisation,[status(thm)],[c_29921,c_2343]) ).
tcf(c_29926,plain,
join(iPr_def_10,composition(converse(top),iPr_def_11)) = top,
inference(theory_normalisation,[status(thm)],[c_29814,c_50,c_49]) ).
tcf(c_29929,plain,
join(iPr_def_11,composition(converse(top),iPr_def_10)) = top,
inference(theory_normalisation,[status(thm)],[c_29807,c_50,c_49]) ).
tcf(c_29934,plain,
! [X0: $i] : join(complement(X0),composition(converse(top),X0)) = top,
inference(theory_normalisation,[status(thm)],[c_29804,c_50,c_49]) ).
tcf(c_29939,plain,
! [X0: $i] : join(X0,composition(join(top,one),complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_29810,c_50,c_49]) ).
tcf(c_29940,plain,
! [X0: $i] : join(X0,join(iPr_def_11,composition(top,complement(iPr_def_12)))) = join(iPr_def_11,top),
inference(theory_normalisation,[status(thm)],[c_29882,c_50,c_49]) ).
tcf(c_29942,plain,
! [X0: $i] : join(one,converse(join(X0,composition(top,complement(one))))) = top,
inference(light_normalisation,[status(thm)],[c_29877,c_2343]) ).
tcf(c_29943,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,composition(join(top,composition(X1,X2)),complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_29806,c_50,c_49]) ).
tcf(c_29944,plain,
! [X0: $i] : composition(join(X0,composition(top,complement(converse(iPr_def_10)))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_29871,c_19797]) ).
tcf(c_29945,plain,
! [X0: $i,X1: $i] : join(X0,converse(join(X1,composition(top,complement(converse(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_29851,c_2343]) ).
tcf(c_29949,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,composition(top,complement(iPr_def_12))),top)) = top,
inference(light_normalisation,[status(thm)],[c_29883,c_11762]) ).
tcf(c_29952,plain,
! [X0: $i] : composition(converse(join(X0,composition(top,iPr_def_11))),iPr_def_11) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_29859,c_192,c_2343]) ).
tcf(c_29953,plain,
! [X0: $i] : composition(converse(join(X0,composition(top,iPr_def_11))),iPr_def_12) = composition(top,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_29857,c_192,c_2343,c_19797]) ).
tcf(c_29954,plain,
! [X0: $i] : join(iPr_def_12,composition(join(X0,composition(top,iPr_def_10)),top)) = top,
inference(light_normalisation,[status(thm)],[c_29846,c_1671,c_11762]) ).
tcf(c_29955,plain,
! [X0: $i] : composition(converse(join(X0,composition(top,iPr_def_10))),iPr_def_10) = composition(top,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29839,c_1671,c_2343]) ).
tcf(c_29956,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(composition(top,complement(X0)),X2))) = join(top,X2),
inference(theory_normalisation,[status(thm)],[c_29829,c_50,c_49]) ).
tcf(c_29957,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(complement(top),join(X2,composition(top,complement(X0)))))) = top,
inference(theory_normalisation,[status(thm)],[c_29826,c_50,c_49]) ).
tcf(c_29958,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(zero,join(X2,composition(top,complement(X0)))))) = top,
inference(light_normalisation,[status(thm)],[c_29957,c_107]) ).
tcf(c_29959,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(composition(top,complement(X0)),converse(complement(converse(top)))))) = top,
inference(theory_normalisation,[status(thm)],[c_29824,c_50,c_49]) ).
tcf(c_29960,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(composition(top,complement(X0)),zero))) = top,
inference(light_normalisation,[status(thm)],[c_29959,c_107,c_1950,c_2343]) ).
tcf(c_29961,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,join(zero,composition(top,complement(X0))))) = top,
inference(theory_normalisation,[status(thm)],[c_29960,c_50,c_49]) ).
tcf(c_29965,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,composition(top,complement(iPr_def_11)))))) = join(iPr_def_11,complement(top)),
inference(theory_normalisation,[status(thm)],[c_29844,c_50,c_49]) ).
tcf(c_29966,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,join(top,composition(top,iPr_def_10))))) = join(iPr_def_11,zero),
inference(light_normalisation,[status(thm)],[c_29965,c_107,c_1671]) ).
tcf(c_29967,plain,
! [X0: $i] : composition(join(X0,join(iPr_def_10,join(complement(top),composition(top,complement(iPr_def_10))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29856,c_50,c_49]) ).
tcf(c_29969,plain,
! [X0: $i,X1: $i] : join(composition(X0,iPr_def_10),composition(join(X1,composition(top,complement(composition(X0,iPr_def_10)))),top)) = top,
inference(light_normalisation,[status(thm)],[c_29916,c_11762]) ).
tcf(c_29970,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)) = composition(top,converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_29913,c_50,c_49]) ).
tcf(c_29971,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,composition(top,complement(composition(X1,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29970,c_16909,c_25501]) ).
tcf(c_29972,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,composition(join(X0,join(X1,composition(top,iPr_def_11))),top)) = top,
inference(light_normalisation,[status(thm)],[c_29854,c_192,c_7015,c_11762]) ).
tcf(c_29973,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(complement(top),composition(top,complement(composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_29918,c_50,c_49]) ).
tcf(c_29974,plain,
! [X0: $i,X1: $i] : composition(join(X0,join(X1,join(zero,composition(top,complement(composition(X1,top)))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_29973,c_107]) ).
tcf(c_29975,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,composition(top,complement(complement(join(iPr_def_11,complement(X1))))))) = join(top,complement(join(X1,iPr_def_11))),
inference(theory_normalisation,[status(thm)],[c_29855,c_50,c_49]) ).
tcf(c_29976,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,complement(top))),complement(join(X0,join(X1,join(iPr_def_11,composition(top,complement(X0))))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_29825,c_50,c_49]) ).
tcf(c_29977,plain,
! [X0: $i,X1: $i] : join(complement(join(iPr_def_11,zero)),complement(join(X0,join(X1,join(iPr_def_11,composition(top,complement(X0))))))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_29976,c_107]) ).
tcf(c_29978,plain,
! [X0: $i,X1: $i] : composition(top,complement(join(composition(X0,iPr_def_10),composition(join(X1,composition(top,complement(composition(X0,iPr_def_10)))),top)))) = zero,
inference(light_normalisation,[status(thm)],[c_29915,c_2343]) ).
tcf(c_29979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(join(X0,X1),X2),join(X3,composition(top,complement(composition(X1,X2))))) = join(top,composition(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_29863,c_50,c_49]) ).
tcf(c_29980,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(X0),join(X1,composition(top,complement(composition(converse(X2),complement(composition(X2,X0))))))) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_29852,c_50,c_49]) ).
tcf(c_29981,plain,
! [X0: $i] : join(iPr_def_11,composition(top,composition(converse(top),complement(composition(join(X0,join(iPr_def_10,composition(top,complement(iPr_def_10)))),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_29858,c_50,c_49]) ).
tcf(c_29995,plain,
join(complement(composition(converse(top),top)),zero) = zero,
inference(superposition,[status(thm)],[c_9546,c_11635]) ).
tcf(c_29996,plain,
join(iPr_def_12,composition(top,iPr_def_11)) = composition(top,iPr_def_11),
inference(superposition,[status(thm)],[c_19797,c_11635]) ).
tcf(c_29997,plain,
join(converse(iPr_def_10),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16909,c_11635]) ).
tcf(c_29998,plain,
join(converse(iPr_def_11),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_16908,c_11635]) ).
tcf(c_29999,plain,
join(converse(iPr_def_12),converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_16918,c_11635]) ).
tcf(c_30000,plain,
join(converse(complement(iPr_def_12)),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_16923,c_11635]) ).
tcf(c_30001,plain,
! [X0: $i] : join(composition(converse(iPr_def_11),X0),composition(converse(iPr_def_12),X0)) = composition(converse(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_16989,c_11635]) ).
tcf(c_30002,plain,
! [X0: $i] : join(composition(converse(iPr_def_10),X0),composition(converse(iPr_def_10),X0)) = composition(converse(iPr_def_10),X0),
inference(superposition,[status(thm)],[c_17014,c_11635]) ).
tcf(c_30003,plain,
! [X0: $i] : join(composition(converse(iPr_def_12),X0),composition(converse(iPr_def_12),X0)) = composition(converse(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_17470,c_11635]) ).
tcf(c_30004,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_10)),converse(composition(X0,iPr_def_10))) = converse(composition(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_17604,c_11635]) ).
tcf(c_30005,plain,
! [X0: $i] : join(converse(composition(X0,iPr_def_12)),converse(composition(X0,iPr_def_12))) = converse(composition(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_17788,c_11635]) ).
tcf(c_30006,plain,
! [X0: $i] : join(composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top)))),zero) = zero,
inference(superposition,[status(thm)],[c_18222,c_11635]) ).
tcf(c_30007,plain,
! [X0: $i] : join(composition(iPr_def_12,X0),composition(top,composition(iPr_def_11,X0))) = composition(top,composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_20386,c_11635]) ).
tcf(c_30008,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(top,X0),join(X1,complement(composition(top,X0))))) = top,
inference(superposition,[status(thm)],[c_11635,c_12854]) ).
tcf(c_30009,plain,
! [X0: $i] : join(X0,join(composition(top,X0),converse(complement(converse(composition(top,X0)))))) = top,
inference(superposition,[status(thm)],[c_11635,c_9717]) ).
tcf(c_30010,plain,
! [X0: $i] : join(complement(join(X0,join(composition(top,X0),iPr_def_11))),complement(join(iPr_def_11,complement(composition(top,X0))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_11635,c_376]) ).
tcf(c_30011,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(top,X0),join(complement(composition(top,X0)),X1))) = top,
inference(superposition,[status(thm)],[c_11635,c_7392]) ).
tcf(c_30012,plain,
! [X0: $i] : join(X0,join(composition(top,X0),complement(composition(top,X0)))) = top,
inference(superposition,[status(thm)],[c_11635,c_375]) ).
tcf(c_30013,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(top,X0),X1)) = join(composition(top,X0),X1),
inference(superposition,[status(thm)],[c_11635,c_50]) ).
tcf(c_30015,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(top,join(X0,X1)))) = composition(top,join(X0,X1)),
inference(superposition,[status(thm)],[c_11635,c_50]) ).
tcf(c_30017,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,composition(top,X0))) = join(X1,composition(top,X0)),
inference(superposition,[status(thm)],[c_11635,c_191]) ).
tcf(c_30024,plain,
join(iPr_def_11,complement(join(composition(top,iPr_def_11),composition(top,iPr_def_11)))) = join(iPr_def_11,complement(composition(top,iPr_def_11))),
inference(superposition,[status(thm)],[c_11635,c_11158]) ).
tcf(c_30029,plain,
! [X0: $i] : join(iPr_def_11,composition(join(X0,converse(composition(top,converse(X0)))),complement(composition(composition(top,converse(X0)),iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11635,c_776]) ).
tcf(c_30031,plain,
! [X0: $i] : join(X0,converse(composition(top,converse(X0)))) = converse(composition(top,converse(X0))),
inference(superposition,[status(thm)],[c_11635,c_221]) ).
tcf(c_30032,plain,
! [X0: $i] : join(iPr_def_10,composition(join(X0,composition(top,iPr_def_10)),top)) = composition(join(X0,composition(top,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_11635,c_9109]) ).
tcf(c_30033,plain,
! [X0: $i] : join(complement(join(X0,iPr_def_11)),composition(top,complement(join(iPr_def_11,complement(X0))))) = join(iPr_def_10,composition(top,complement(join(iPr_def_11,complement(X0))))),
inference(superposition,[status(thm)],[c_11635,c_369]) ).
tcf(c_30035,plain,
composition(join(composition(top,iPr_def_10),join(iPr_def_10,complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11635,c_28104]) ).
tcf(c_30036,plain,
join(iPr_def_11,composition(top,composition(converse(composition(top,iPr_def_10)),complement(composition(join(composition(top,iPr_def_10),iPr_def_10),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_11635,c_18626]) ).
tcf(c_30037,plain,
composition(converse(composition(top,iPr_def_10)),complement(join(iPr_def_10,composition(composition(top,iPr_def_10),top)))) = zero,
inference(superposition,[status(thm)],[c_11635,c_9562]) ).
tcf(c_30038,plain,
join(iPr_def_10,composition(composition(top,iPr_def_10),top)) = composition(composition(top,iPr_def_10),top),
inference(superposition,[status(thm)],[c_11635,c_392]) ).
tcf(c_30039,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(top,X0)),X1) = composition(top,composition(X0,X1)),
inference(superposition,[status(thm)],[c_11635,c_393]) ).
tcf(c_30040,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(join(X0,X1),X2),composition(top,composition(X1,X2))) = join(composition(X0,X2),composition(top,composition(X1,X2))),
inference(superposition,[status(thm)],[c_11635,c_398]) ).
tcf(c_30046,plain,
! [X0: $i] : composition(join(one,top),X0) = composition(top,X0),
inference(superposition,[status(thm)],[c_11635,c_1767]) ).
tcf(c_30048,plain,
join(one,converse(composition(top,one))) = converse(composition(top,one)),
inference(superposition,[status(thm)],[c_11635,c_1723]) ).
tcf(c_30049,plain,
! [X0: $i] : join(X0,composition(composition(top,one),X0)) = composition(composition(top,one),X0),
inference(superposition,[status(thm)],[c_11635,c_1767]) ).
tcf(c_30053,plain,
join(iPr_def_12,composition(composition(top,iPr_def_12),top)) = composition(composition(top,iPr_def_12),top),
inference(superposition,[status(thm)],[c_11635,c_11839]) ).
tcf(c_30069,plain,
! [X0: $i] : composition(join(composition(top,composition(X0,top)),X0),converse(iPr_def_10)) = composition(composition(top,composition(X0,top)),converse(iPr_def_10)),
inference(superposition,[status(thm)],[c_11635,c_25205]) ).
tcf(c_30071,plain,
! [X0: $i] : composition(converse(composition(top,composition(X0,iPr_def_10))),complement(join(composition(X0,iPr_def_10),composition(composition(top,composition(X0,iPr_def_10)),top)))) = zero,
inference(superposition,[status(thm)],[c_11635,c_23788]) ).
tcf(c_30072,plain,
! [X0: $i] : join(composition(X0,iPr_def_10),composition(composition(top,composition(X0,iPr_def_10)),top)) = composition(composition(top,composition(X0,iPr_def_10)),top),
inference(superposition,[status(thm)],[c_11635,c_22679]) ).
tcf(c_30075,plain,
join(composition(iPr_def_10,top),composition(top,iPr_def_10)) = composition(composition(top,iPr_def_10),top),
inference(superposition,[status(thm)],[c_11635,c_25650]) ).
tcf(c_30076,plain,
! [X0: $i] : composition(join(composition(top,composition(X0,top)),join(X0,complement(composition(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_11635,c_25298]) ).
tcf(c_30078,plain,
! [X0: $i] : composition(join(top,one),X0) = composition(top,X0),
inference(theory_normalisation,[status(thm)],[c_30046,c_50,c_49]) ).
tcf(c_30079,plain,
join(converse(iPr_def_10),converse(complement(iPr_def_12))) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_30000,c_50,c_49]) ).
tcf(c_30080,plain,
join(zero,complement(composition(converse(top),top))) = zero,
inference(theory_normalisation,[status(thm)],[c_29995,c_50,c_49]) ).
tcf(c_30083,plain,
join(iPr_def_10,composition(top,iPr_def_10)) = composition(composition(top,iPr_def_10),top),
inference(light_normalisation,[status(thm)],[c_30075,c_193]) ).
tcf(c_30086,plain,
join(iPr_def_12,composition(composition(top,iPr_def_11),top)) = composition(composition(top,iPr_def_11),top),
inference(light_normalisation,[status(thm)],[c_30053,c_19797]) ).
tcf(c_30090,plain,
composition(join(iPr_def_10,join(composition(top,iPr_def_10),complement(composition(top,iPr_def_10)))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_30035,c_50,c_49]) ).
tcf(c_30091,plain,
! [X0: $i] : join(zero,composition(converse(join(iPr_def_10,join(X0,iPr_def_10))),complement(join(iPr_def_10,composition(X0,top))))) = zero,
inference(theory_normalisation,[status(thm)],[c_30006,c_50,c_49]) ).
tcf(c_30092,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(composition(top,X0)))),complement(join(X0,join(iPr_def_11,composition(top,X0))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_30010,c_50,c_49]) ).
tcf(c_30093,plain,
! [X0: $i] : composition(join(X0,composition(top,composition(X0,top))),converse(iPr_def_10)) = composition(composition(top,composition(X0,top)),converse(iPr_def_10)),
inference(theory_normalisation,[status(thm)],[c_30069,c_50,c_49]) ).
tcf(c_30094,plain,
! [X0: $i] : composition(join(X0,join(composition(top,composition(X0,top)),complement(composition(top,composition(X0,top))))),converse(iPr_def_10)) = converse(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_30076,c_50,c_49]) ).
tcf(c_30095,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(top,composition(X0,X1)),composition(join(X2,X0),X1)) = join(composition(X2,X1),composition(top,composition(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_30040,c_50,c_49]) ).
tcf(c_30096,plain,
join(iPr_def_11,composition(top,composition(converse(composition(top,iPr_def_10)),complement(composition(join(iPr_def_10,composition(top,iPr_def_10)),composition(top,iPr_def_10)))))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_30036,c_50,c_49]) ).
tcf(c_30114,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_30096,c_30095,c_30094,c_30093,c_30092,c_30091,c_30090,c_30083,c_30080,c_30079,c_30075,c_30072,c_30071,c_30053,c_30049,c_30048,c_30038,c_30037,c_30033,c_30032,c_30031,c_30029,c_30086,c_30024,c_30017,c_30013,c_30012,c_30011,c_30009,c_30008,c_30007,c_30005,c_30004,c_30003,c_30002,c_30001,c_29999,c_29998,c_29997,c_29996,c_30078,c_30039,c_30015,c_29981,c_29980,c_29979,c_29978,c_29977,c_29976,c_29975,c_29974,c_29973,c_29972,c_29971,c_29970,c_29969,c_29967,c_29966,c_29965,c_29961,c_29960,c_29959,c_29958,c_29957,c_29956,c_29955,c_29954,c_29953,c_29952,c_29949,c_29945,c_29944,c_29942,c_29940,c_29934,c_29929,c_29926,c_29921,c_29916,c_29915,c_29907,c_29901,c_29893,c_29888,c_29883,c_29881,c_29878,c_29877,c_29872,c_29871,c_29870,c_29868,c_29861,c_29860,c_29859,c_29857,c_29854,c_29851,c_29849,c_29846,c_29839,c_29834,c_29822,c_29819,c_29818,c_29939,c_29802,c_29801,c_29864,c_29862,c_29853,c_29836,c_29832,c_29835,c_29782,c_29781,c_29780,c_29779,c_29778,c_29777,c_29776,c_29775,c_29774,c_29773,c_29772,c_29770,c_29769,c_29768,c_29766,c_29764,c_29757,c_29756,c_29754,c_29744,c_29743,c_29742,c_29740,c_29735,c_29730,c_29711,c_29700,c_29699,c_29688,c_29676,c_29665,c_29658,c_29657,c_29653,c_29652,c_29651,c_29646,c_29645,c_29642,c_29641,c_29640,c_29633,c_29631,c_29630,c_29629,c_29627,c_29624,c_29622,c_29620,c_29617,c_29610,c_29606,c_29595,c_29592,c_29591,c_29584,c_29578,c_29577,c_29570,c_29943,c_29564,c_29566,c_29561,c_29713,c_29607,c_29604,c_29550,c_29513,c_29512,c_29511,c_29510,c_29509,c_29507,c_29505,c_29504,c_29503,c_29502,c_29501,c_29500,c_29499,c_29498,c_29497,c_29496,c_29495,c_29494,c_29493,c_29492,c_29490,c_29489,c_29488,c_29486,c_29485,c_29484,c_29483,c_29482,c_29481,c_29480,c_29479,c_29477,c_29476,c_29475,c_29474,c_29473,c_29472,c_29471,c_29470,c_29469,c_29468,c_29467,c_29466,c_29465,c_29464,c_29463,c_29461,c_29459,c_29458,c_29457,c_29456,c_29455,c_29454,c_29453,c_29452,c_29450,c_29449,c_29448,c_29447,c_29446,c_29445,c_29444,c_29443,c_29442,c_29440,c_29439,c_29438,c_29437,c_29436,c_29435,c_29434,c_29433,c_29432,c_29429,c_29428,c_29427,c_29425,c_29424,c_29423,c_29421,c_29420,c_29419,c_29418,c_29417,c_29416,c_29415,c_29414,c_29413,c_29412,c_29410,c_29408,c_29407,c_29406,c_29404,c_29402,c_29401,c_29400,c_29399,c_29398,c_29397,c_29396,c_29395,c_29390,c_29387,c_29386,c_29384,c_29381,c_29378,c_29376,c_29375,c_29372,c_29371,c_29328,c_29310,c_29307,c_29304,c_29302,c_29303,c_29298,c_29295,c_29294,c_29293,c_29291,c_29290,c_29287,c_29286,c_29285,c_29284,c_29283,c_29281,c_29279,c_29278,c_29277,c_29276,c_29275,c_29255,c_29254,c_29241,c_29227,c_29223,c_29213,c_29205,c_29193,c_29192,c_29175,c_29157,c_29154,c_29137,c_29207,c_29224,c_29118,c_29117,c_29113,c_29112,c_29111,c_29109,c_29105,c_29104,c_29079,c_29078,c_29074,c_29071,c_29058,c_29050,c_29049,c_29036,c_29023,c_29017,c_29016,c_29007,c_28936,c_28934,c_28933,c_28932,c_28931,c_28930,c_28929,c_28928,c_28927,c_28926,c_28924,c_28922,c_28920,c_28918,c_28916,c_28914,c_28913,c_28912,c_28911,c_28910,c_28909,c_28908,c_28907,c_28906,c_28903,c_28901,c_28899,c_28897,c_28896,c_28895,c_28894,c_28893,c_28892,c_28891,c_28889,c_28887,c_28885,c_28883,c_28882,c_28881,c_28880,c_28879,c_28878,c_28877,c_28876,c_28875,c_28874,c_28872,c_28871,c_28870,c_28869,c_28868,c_28867,c_28866,c_28865,c_28864,c_28862,c_28861,c_28860,c_28859,c_28857,c_28856,c_28855,c_28854,c_28853,c_28852,c_28851,c_28850,c_28848,c_28847,c_28846,c_28845,c_28844,c_28843,c_28842,c_28841,c_28838,c_28837,c_28836,c_28835,c_28834,c_28832,c_28831,c_28830,c_28829,c_28828,c_28826,c_28824,c_28822,c_28821,c_28819,c_28818,c_28817,c_28816,c_28815,c_28814,c_28813,c_28812,c_28811,c_28810,c_28809,c_28808,c_28807,c_28806,c_28805,c_28803,c_28802,c_28800,c_28799,c_28798,c_28796,c_28795,c_28794,c_28792,c_28790,c_28788,c_28787,c_28783,c_28779,c_28777,c_28773,c_28772,c_28768,c_28767,c_28766,c_28765,c_28764,c_28763,c_28762,c_28759,c_28758,c_28757,c_28754,c_28752,c_28751,c_28749,c_28747,c_28746,c_28745,c_28744,c_28743,c_28742,c_28741,c_28740,c_28739,c_28738,c_28737,c_28733,c_28732,c_28725,c_28722,c_28721,c_28720,c_28719,c_28718,c_28716,c_28712,c_28711,c_28710,c_28708,c_28706,c_28704,c_28703,c_28702,c_28700,c_28698,c_28697,c_28696,c_28695,c_28694,c_28693,c_28691,c_28687,c_28686,c_28685,c_28684,c_28683,c_28682,c_28681,c_28680,c_28679,c_28678,c_28676,c_28674,c_28673,c_28671,c_28670,c_28669,c_28667,c_28666,c_28665,c_28664,c_28663,c_28661,c_28658,c_28657,c_28656,c_28655,c_28654,c_28653,c_28652,c_28650,c_28649,c_28648,c_28647,c_28645,c_28644,c_28643,c_28642,c_28641,c_28640,c_28639,c_28638,c_28636,c_28635,c_28634,c_28633,c_28632,c_28630,c_28628,c_28626,c_28625,c_28623,c_28622,c_28620,c_28618,c_28617,c_28613,c_28612,c_28611,c_28610,c_28609,c_28608,c_28606,c_28605,c_28602,c_28601,c_28600,c_28599,c_28596,c_28595,c_28593,c_28591,c_28587,c_28586,c_28575,c_28569,c_28566,c_28559,c_28543,c_28540,c_28539,c_28538,c_28537,c_28536,c_28535,c_28534,c_28532,c_28531,c_28530,c_28526,c_28519,c_28518,c_28517,c_28516,c_28515,c_28514,c_28512,c_28511,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 07:15:33 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.45 % Proving...
% 42.92/9.95 % SZS status Started for theBenchmark.p
% 42.92/9.95 % SZS status Theorem for theBenchmark.p
% 42.92/9.95
% 42.92/9.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 42.92/9.95
% 42.92/9.95 % ------ iProver source info
% 42.92/9.95
% 42.92/9.95 % git: date: 2026-07-19 20:42:38 +0200
% 42.92/9.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 42.92/9.95 % git: non_committed_changes: false
% 42.92/9.95
% 42.92/9.95 % ------ Parsing...
% 42.92/9.95 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 42.92/9.95 %
% 42.92/9.95
% 42.92/9.95 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 42.92/9.95
% 42.92/9.95 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 42.92/9.95 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 42.92/9.95
% 42.92/9.95 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 42.92/9.95 % ------ Proving...
% 42.92/9.95 % ------ Problem Properties
% 42.92/9.95
% 42.92/9.95 %
% 42.92/9.95 % clauses 17
% 42.92/9.95 % conjectures 2
% 42.92/9.95 % EPR 2
% 42.92/9.95 % Horn 17
% 42.92/9.95 % unary 17
% 42.92/9.95 % binary 0
% 42.92/9.95 % lits 17
% 42.92/9.95 % lits eq 17
% 42.92/9.95 % fd_pure 0
% 42.92/9.95 % fd_pseudo 0
% 42.92/9.95 % fd_cond 0
% 42.92/9.95 % fd_pseudo_cond 0
% 42.92/9.95 % AC symbols 1
% 42.92/9.95
% 42.92/9.95 % ------ Schedule UEQ
% 42.92/9.95
% 42.92/9.95 % ------ Option_UEQ Time Limit: 10.
% 42.92/9.95
% 42.92/9.95
% 42.92/9.95 % ------
% 42.92/9.95 % Current options:
% 42.92/9.95 % ------
% 42.92/9.95
% 42.92/9.95
% 42.92/9.95 %
% 42.92/9.95
% 42.92/9.95 % ------ Proving...
% 42.92/9.95 %
% 42.92/9.95
% 42.92/9.95 % SZS status Theorem for theBenchmark.p
% 42.92/9.95
% 42.92/9.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 64.52/10.36
% 64.52/10.36
%------------------------------------------------------------------------------