%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL005+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 02:36:31 PM UTC 2026
% Result : Theorem 148.73s 36.52s
% Output : CNFRefutation 148.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 24
% Syntax : Number of formulae : 407 ( 397 unt; 12 def)
% Number of atoms : 1113 ( 416 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 28 ( 18 ~; 8 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 230 ( 0 sgn 228 !; 2 ?; 185 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1))
& join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1))
& join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
| meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
| meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
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,
( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
| meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
( converse(complement(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1)))))
| complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) ),
inference(definition_unfolding,[],[f31,f21,f21,f21,f21,f21,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_53,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f23]) ).
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,[],[f32]) ).
tcf(c_61,negated_conjecture,
( ( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))) )
| ( join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1))))) != converse(complement(join(complement(sK0),complement(sK1)))) ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_74,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_75,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_76,negated_conjecture,
( ( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != converse(complement(join(complement(sK0),complement(sK1)))) )
| ( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))) ) ),
inference(theory_normalisation,[status(thm)],[c_61,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_116,definition,
iPr_def_10 = complement(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_117,definition,
iPr_def_11 = complement(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_118,definition,
iPr_def_12 = join(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_119,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_120,definition,
iPr_def_14 = converse(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_121,definition,
iPr_def_15 = converse(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_122,definition,
iPr_def_16 = complement(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_123,definition,
iPr_def_17 = converse(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_124,definition,
iPr_def_18 = complement(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_125,definition,
iPr_def_19 = join(iPr_def_16,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_126,definition,
iPr_def_20 = complement(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_127,definition,
iPr_def_21 = join(iPr_def_14,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_128,negated_conjecture,
( ( iPr_def_21 != iPr_def_20 )
| ( iPr_def_21 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_76,c_123,c_124,c_121,c_122,c_125,c_126,c_117,c_116,c_118,c_119,c_120,c_127]) ).
tcf(c_219,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_231,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(iPr_def_10,complement(X0)))) = sK0,
inference(superposition,[status(thm)],[c_116,c_74]) ).
tcf(c_233,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_107,c_74]) ).
tcf(c_235,plain,
! [X0: $i] : join(complement(join(iPr_def_16,X0)),complement(join(iPr_def_16,complement(X0)))) = iPr_def_15,
inference(superposition,[status(thm)],[c_122,c_74]) ).
tcf(c_238,plain,
! [X0: $i] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_107,c_74]) ).
tcf(c_245,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_238,c_50,c_49]) ).
tcf(c_262,plain,
! [X0: $i] : join(complement(join(iPr_def_18,X0)),complement(join(iPr_def_18,complement(X0)))) = iPr_def_17,
inference(superposition,[status(thm)],[c_124,c_74]) ).
tcf(c_272,plain,
converse(iPr_def_15) = sK0,
inference(superposition,[status(thm)],[c_121,c_55]) ).
tcf(c_281,plain,
join(sK0,iPr_def_10) = top,
inference(superposition,[status(thm)],[c_116,c_59]) ).
tcf(c_283,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_107,c_59]) ).
tcf(c_285,plain,
join(iPr_def_15,iPr_def_16) = top,
inference(superposition,[status(thm)],[c_122,c_59]) ).
tcf(c_286,plain,
join(iPr_def_17,iPr_def_18) = top,
inference(superposition,[status(thm)],[c_124,c_59]) ).
tcf(c_288,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
tcf(c_291,plain,
join(iPr_def_10,sK0) = top,
inference(theory_normalisation,[status(thm)],[c_281,c_50,c_49]) ).
tcf(c_292,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_288,c_50,c_49]) ).
tcf(c_293,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_292,c_107]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_377,plain,
! [X0: $i] : join(sK0,converse(X0)) = converse(join(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_272,c_56]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_487,plain,
! [X0: $i] : join(iPr_def_16,join(iPr_def_18,X0)) = join(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_125,c_50]) ).
tcf(c_489,plain,
! [X0: $i] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_283,c_50]) ).
tcf(c_551,plain,
! [X0: $i] : join(iPr_def_15,join(iPr_def_16,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_285,c_50]) ).
tcf(c_559,plain,
! [X0: $i] : join(iPr_def_10,join(sK0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_291,c_50]) ).
tcf(c_690,plain,
! [X0: $i] : join(iPr_def_15,join(X0,iPr_def_16)) = join(X0,top),
inference(superposition,[status(thm)],[c_285,c_219]) ).
tcf(c_691,plain,
! [X0: $i] : join(iPr_def_17,join(X0,iPr_def_18)) = join(X0,top),
inference(superposition,[status(thm)],[c_286,c_219]) ).
tcf(c_1244,plain,
join(complement(join(iPr_def_10,iPr_def_10)),complement(top)) = sK0,
inference(superposition,[status(thm)],[c_59,c_231]) ).
tcf(c_1257,plain,
join(complement(top),complement(join(iPr_def_10,iPr_def_10))) = sK0,
inference(theory_normalisation,[status(thm)],[c_1244,c_50,c_49]) ).
tcf(c_1258,plain,
join(zero,complement(join(iPr_def_10,iPr_def_10))) = sK0,
inference(light_normalisation,[status(thm)],[c_1257,c_107]) ).
tcf(c_2470,plain,
join(complement(join(zero,zero)),complement(top)) = top,
inference(superposition,[status(thm)],[c_59,c_233]) ).
tcf(c_2485,plain,
join(complement(top),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_2470,c_50,c_49]) ).
tcf(c_2486,plain,
join(zero,complement(join(zero,zero))) = top,
inference(light_normalisation,[status(thm)],[c_2485,c_107]) ).
tcf(c_4888,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_59,c_489]) ).
tcf(c_4892,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[status(thm)],[c_2486,c_489]) ).
tcf(c_4945,plain,
join(complement(join(iPr_def_16,iPr_def_16)),complement(top)) = iPr_def_15,
inference(superposition,[status(thm)],[c_59,c_235]) ).
tcf(c_4958,plain,
join(complement(top),complement(join(iPr_def_16,iPr_def_16))) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_4945,c_50,c_49]) ).
tcf(c_4959,plain,
join(zero,complement(join(iPr_def_16,iPr_def_16))) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_4958,c_107]) ).
tcf(c_5055,plain,
join(top,iPr_def_18) = join(iPr_def_15,iPr_def_19),
inference(superposition,[status(thm)],[c_125,c_551]) ).
tcf(c_5062,plain,
join(iPr_def_15,iPr_def_19) = join(iPr_def_18,top),
inference(theory_normalisation,[status(thm)],[c_5055,c_50,c_49]) ).
tcf(c_5251,plain,
join(iPr_def_15,iPr_def_16) = top,
inference(superposition,[status(thm)],[c_122,c_59]) ).
tcf(c_5253,plain,
join(iPr_def_19,iPr_def_20) = top,
inference(superposition,[status(thm)],[c_126,c_59]) ).
tcf(c_5254,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
tcf(c_5301,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_5351,plain,
! [X0: $i] : join(iPr_def_15,join(iPr_def_16,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5251,c_50]) ).
tcf(c_5353,plain,
! [X0: $i] : join(iPr_def_19,join(iPr_def_20,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_5253,c_50]) ).
tcf(c_5416,plain,
! [X0: $i] : join(iPr_def_16,composition(converse(X0),complement(composition(X0,iPr_def_15)))) = iPr_def_16,
inference(superposition,[status(thm)],[c_122,c_75]) ).
tcf(c_5464,plain,
! [X0: $i] : join(complement(join(iPr_def_20,X0)),complement(join(iPr_def_20,complement(X0)))) = iPr_def_19,
inference(superposition,[status(thm)],[c_126,c_74]) ).
tcf(c_5471,plain,
! [X0: $i] : join(complement(join(complement(X0),iPr_def_19)),complement(join(complement(X0),iPr_def_20))) = X0,
inference(superposition,[status(thm)],[c_126,c_74]) ).
tcf(c_5478,plain,
! [X0: $i] : join(complement(join(iPr_def_19,complement(X0))),complement(join(iPr_def_20,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_5471,c_50,c_49]) ).
tcf(c_6197,plain,
! [X0: $i] : join(iPr_def_15,join(iPr_def_16,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_49,c_690]) ).
tcf(c_6216,plain,
! [X0: $i] : join(iPr_def_17,join(iPr_def_18,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_49,c_691]) ).
tcf(c_6766,plain,
join(complement(join(top,complement(zero))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_245]) ).
tcf(c_6769,plain,
join(complement(join(top,complement(join(zero,zero)))),complement(top)) = join(zero,zero),
inference(superposition,[status(thm)],[c_2486,c_245]) ).
tcf(c_6786,plain,
join(complement(top),complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_6766,c_50,c_49]) ).
tcf(c_6787,plain,
join(zero,complement(join(top,top))) = zero,
inference(light_normalisation,[status(thm)],[c_6786,c_107,c_4888]) ).
tcf(c_6807,plain,
join(complement(top),complement(join(top,complement(join(zero,zero))))) = join(zero,zero),
inference(theory_normalisation,[status(thm)],[c_6769,c_50,c_49]) ).
tcf(c_6808,plain,
join(zero,complement(join(top,top))) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_6807,c_107,c_4892]) ).
tcf(c_6850,plain,
join(top,complement(join(top,top))) = join(top,zero),
inference(superposition,[status(thm)],[c_6787,c_489]) ).
tcf(c_6854,plain,
join(top,complement(join(top,top))) = top,
inference(light_normalisation,[status(thm)],[c_6850,c_283]) ).
tcf(c_6975,plain,
join(complement(top),complement(join(zero,complement(join(top,top))))) = join(top,top),
inference(superposition,[status(thm)],[c_6854,c_245]) ).
tcf(c_6976,plain,
join(top,top) = top,
inference(light_normalisation,[status(thm)],[c_6975,c_107,c_2486,c_6808]) ).
tcf(c_6978,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_6787,c_6976]) ).
tcf(c_6980,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_6978,c_107]) ).
tcf(c_6990,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_6980,c_50]) ).
tcf(c_8880,plain,
join(complement(join(iPr_def_18,iPr_def_18)),complement(top)) = iPr_def_17,
inference(superposition,[status(thm)],[c_59,c_262]) ).
tcf(c_8896,plain,
join(complement(top),complement(join(iPr_def_18,iPr_def_18))) = iPr_def_17,
inference(theory_normalisation,[status(thm)],[c_8880,c_50,c_49]) ).
tcf(c_8897,plain,
join(zero,complement(join(iPr_def_18,iPr_def_18))) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_8896,c_107]) ).
tcf(c_11317,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_293,c_6990]) ).
tcf(c_11353,plain,
complement(join(iPr_def_10,iPr_def_10)) = sK0,
inference(demodulation,[status(thm)],[c_1258,c_11317]) ).
tcf(c_11356,plain,
complement(join(iPr_def_16,iPr_def_16)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_4959,c_11317]) ).
tcf(c_11357,plain,
complement(join(iPr_def_18,iPr_def_18)) = iPr_def_17,
inference(demodulation,[status(thm)],[c_8897,c_11317]) ).
tcf(c_11675,plain,
join(join(iPr_def_10,iPr_def_10),sK0) = top,
inference(superposition,[status(thm)],[c_11353,c_59]) ).
tcf(c_11681,plain,
join(iPr_def_10,join(iPr_def_10,sK0)) = top,
inference(theory_normalisation,[status(thm)],[c_11675,c_50,c_49]) ).
tcf(c_11682,plain,
join(iPr_def_10,top) = top,
inference(light_normalisation,[status(thm)],[c_11681,c_291]) ).
tcf(c_11708,plain,
! [X0: $i] : join(iPr_def_10,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_11682,c_50]) ).
tcf(c_12756,plain,
join(join(iPr_def_16,iPr_def_16),iPr_def_15) = top,
inference(superposition,[status(thm)],[c_11356,c_59]) ).
tcf(c_12757,plain,
join(iPr_def_15,join(iPr_def_16,iPr_def_16)) = top,
inference(theory_normalisation,[status(thm)],[c_12756,c_50,c_49]) ).
tcf(c_12760,plain,
join(join(iPr_def_18,iPr_def_18),iPr_def_17) = top,
inference(superposition,[status(thm)],[c_11357,c_59]) ).
tcf(c_12761,plain,
join(iPr_def_17,join(iPr_def_18,iPr_def_18)) = top,
inference(theory_normalisation,[status(thm)],[c_12760,c_50,c_49]) ).
tcf(c_13005,plain,
join(iPr_def_16,top) = top,
inference(demodulation,[status(thm)],[c_12757,c_6197]) ).
tcf(c_13109,plain,
join(iPr_def_15,iPr_def_19) = top,
inference(demodulation,[status(thm)],[c_12761,c_5062,c_6216]) ).
tcf(c_13111,plain,
join(iPr_def_18,top) = top,
inference(demodulation,[status(thm)],[c_5062,c_13109]) ).
tcf(c_13115,plain,
join(sK0,converse(iPr_def_19)) = converse(top),
inference(superposition,[status(thm)],[c_13109,c_377]) ).
tcf(c_13124,plain,
join(iPr_def_16,top) = join(iPr_def_19,top),
inference(superposition,[status(thm)],[c_13111,c_487]) ).
tcf(c_13126,plain,
join(iPr_def_19,top) = top,
inference(light_normalisation,[status(thm)],[c_13124,c_13005]) ).
tcf(c_13163,plain,
! [X0: $i] : join(iPr_def_19,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_13126,c_50]) ).
tcf(c_13470,plain,
join(top,converse(iPr_def_19)) = join(iPr_def_10,converse(top)),
inference(superposition,[status(thm)],[c_13115,c_559]) ).
tcf(c_23361,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_370]) ).
tcf(c_25561,plain,
join(iPr_def_19,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_23361,c_13163]) ).
tcf(c_25570,plain,
join(iPr_def_10,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_23361,c_11708]) ).
tcf(c_25646,plain,
join(top,converse(iPr_def_19)) = converse(top),
inference(demodulation,[status(thm)],[c_13470,c_25570]) ).
tcf(c_25938,plain,
join(converse(iPr_def_19),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_25561,c_380]) ).
tcf(c_25945,plain,
join(top,converse(iPr_def_19)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_25938,c_50,c_49]) ).
tcf(c_25946,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_25945,c_25646]) ).
tcf(c_25955,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_25946,c_55]) ).
tcf(c_26010,plain,
! [X0: $i] : join(complement(X0),composition(top,complement(composition(top,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_25955,c_75]) ).
tcf(c_27783,plain,
! [X0: $i] : join(iPr_def_19,join(X0,iPr_def_20)) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_5353]) ).
tcf(c_28716,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_5301]) ).
tcf(c_28804,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_28716,c_55]) ).
tcf(c_29692,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_28804,c_53]) ).
tcf(c_29708,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_28804,c_29692]) ).
tcf(c_81690,plain,
join(iPr_def_16,composition(converse(one),complement(iPr_def_15))) = iPr_def_16,
inference(superposition,[status(thm)],[c_29708,c_5416]) ).
tcf(c_81694,plain,
join(iPr_def_16,composition(one,iPr_def_16)) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_81690,c_122,c_29692]) ).
tcf(c_107143,plain,
join(iPr_def_16,iPr_def_16) = iPr_def_16,
inference(demodulation,[status(thm)],[c_81694,c_29708]) ).
tcf(c_107146,plain,
! [X0: $i] : join(iPr_def_16,join(iPr_def_16,X0)) = join(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_107143,c_50]) ).
tcf(c_129671,plain,
join(iPr_def_16,iPr_def_19) = iPr_def_19,
inference(superposition,[status(thm)],[c_125,c_107146]) ).
tcf(c_134265,plain,
! [X0: $i] : join(top,complement(join(iPr_def_20,complement(X0)))) = join(join(iPr_def_20,X0),iPr_def_19),
inference(superposition,[status(thm)],[c_5464,c_5254]) ).
tcf(c_134276,plain,
! [X0: $i] : join(top,complement(join(iPr_def_20,complement(X0)))) = join(iPr_def_19,join(X0,iPr_def_20)),
inference(theory_normalisation,[status(thm)],[c_134265,c_50,c_49]) ).
tcf(c_134277,plain,
! [X0: $i] : join(top,complement(join(iPr_def_20,complement(X0)))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_134276,c_27783]) ).
tcf(c_137398,plain,
join(top,iPr_def_19) = join(iPr_def_15,iPr_def_19),
inference(superposition,[status(thm)],[c_129671,c_5351]) ).
tcf(c_137399,plain,
join(iPr_def_15,iPr_def_19) = join(iPr_def_19,top),
inference(theory_normalisation,[status(thm)],[c_137398,c_50,c_49]) ).
tcf(c_155790,plain,
! [X0: $i] : join(top,complement(join(iPr_def_20,complement(X0)))) = join(join(iPr_def_19,complement(X0)),X0),
inference(superposition,[status(thm)],[c_5478,c_5254]) ).
tcf(c_155812,plain,
! [X0: $i] : join(top,complement(join(iPr_def_20,complement(X0)))) = join(iPr_def_19,join(X0,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_155790,c_50,c_49]) ).
tcf(c_155813,plain,
! [X0: $i] : join(top,X0) = join(iPr_def_15,iPr_def_19),
inference(light_normalisation,[status(thm)],[c_155812,c_59,c_137399,c_134277]) ).
tcf(c_190036,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_190047,plain,
! [X0: $i] : join(complement(join(iPr_def_10,X0)),complement(join(iPr_def_10,complement(X0)))) = sK0,
inference(superposition,[status(thm)],[c_116,c_74]) ).
tcf(c_190048,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0)))) = sK1,
inference(superposition,[status(thm)],[c_117,c_74]) ).
tcf(c_190050,plain,
! [X0: $i] : join(complement(join(iPr_def_13,X0)),complement(join(iPr_def_13,complement(X0)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_119,c_74]) ).
tcf(c_190051,plain,
! [X0: $i] : join(complement(join(iPr_def_16,X0)),complement(join(iPr_def_16,complement(X0)))) = iPr_def_15,
inference(superposition,[status(thm)],[c_122,c_74]) ).
tcf(c_190055,plain,
! [X0: $i] : join(complement(join(complement(X0),iPr_def_12)),complement(join(complement(X0),iPr_def_13))) = X0,
inference(superposition,[status(thm)],[c_119,c_74]) ).
tcf(c_190056,plain,
! [X0: $i] : join(complement(join(complement(X0),iPr_def_15)),complement(join(complement(X0),iPr_def_16))) = X0,
inference(superposition,[status(thm)],[c_122,c_74]) ).
tcf(c_190059,plain,
! [X0: $i] : join(complement(join(iPr_def_15,complement(X0))),complement(join(iPr_def_16,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_190056,c_50,c_49]) ).
tcf(c_190060,plain,
! [X0: $i] : join(complement(join(iPr_def_12,complement(X0))),complement(join(iPr_def_13,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_190055,c_50,c_49]) ).
tcf(c_190070,plain,
! [X0: $i] : join(complement(join(complement(X0),iPr_def_19)),complement(join(complement(X0),iPr_def_20))) = X0,
inference(superposition,[status(thm)],[c_126,c_74]) ).
tcf(c_190071,plain,
! [X0: $i] : join(complement(join(iPr_def_19,complement(X0))),complement(join(iPr_def_20,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_190070,c_50,c_49]) ).
tcf(c_190072,plain,
converse(iPr_def_15) = sK0,
inference(superposition,[status(thm)],[c_121,c_55]) ).
tcf(c_190073,plain,
converse(iPr_def_17) = sK1,
inference(superposition,[status(thm)],[c_123,c_55]) ).
tcf(c_190074,plain,
converse(iPr_def_14) = iPr_def_13,
inference(superposition,[status(thm)],[c_120,c_55]) ).
tcf(c_190075,plain,
converse(sK0) = iPr_def_15,
inference(superposition,[status(thm)],[c_190072,c_55]) ).
tcf(c_190076,plain,
converse(sK1) = iPr_def_17,
inference(superposition,[status(thm)],[c_190073,c_55]) ).
tcf(c_190077,plain,
converse(iPr_def_13) = iPr_def_14,
inference(superposition,[status(thm)],[c_190074,c_55]) ).
tcf(c_190083,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_107,c_59]) ).
tcf(c_190086,plain,
join(iPr_def_17,iPr_def_18) = top,
inference(superposition,[status(thm)],[c_124,c_59]) ).
tcf(c_190088,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
tcf(c_190092,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_190088,c_50,c_49]) ).
tcf(c_190093,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_190092,c_107]) ).
tcf(c_190095,plain,
join(iPr_def_15,iPr_def_19) = top,
inference(demodulation,[status(thm)],[c_190083,c_155813]) ).
tcf(c_190130,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_74]) ).
tcf(c_190131,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_74]) ).
tcf(c_190145,plain,
! [X0: $i] : join(iPr_def_14,converse(X0)) = converse(join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_190077,c_56]) ).
tcf(c_190147,plain,
! [X0: $i] : join(sK0,converse(X0)) = converse(join(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_190072,c_56]) ).
tcf(c_190148,plain,
! [X0: $i] : join(sK1,converse(X0)) = converse(join(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_190073,c_56]) ).
tcf(c_190149,plain,
! [X0: $i] : join(iPr_def_13,converse(X0)) = converse(join(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_190074,c_56]) ).
tcf(c_190150,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_190151,plain,
! [X0: $i] : join(converse(X0),iPr_def_15) = converse(join(X0,sK0)),
inference(superposition,[status(thm)],[c_190075,c_56]) ).
tcf(c_190153,plain,
! [X0: $i] : join(converse(X0),iPr_def_17) = converse(join(X0,sK1)),
inference(superposition,[status(thm)],[c_190076,c_56]) ).
tcf(c_190166,plain,
! [X0: $i] : join(iPr_def_17,converse(X0)) = converse(join(X0,sK1)),
inference(theory_normalisation,[status(thm)],[c_190153,c_50,c_49]) ).
tcf(c_190167,plain,
! [X0: $i] : join(iPr_def_15,converse(X0)) = converse(join(X0,sK0)),
inference(theory_normalisation,[status(thm)],[c_190151,c_50,c_49]) ).
tcf(c_190223,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
tcf(c_190226,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_118,c_50]) ).
tcf(c_190227,plain,
! [X0: $i] : join(iPr_def_16,join(iPr_def_18,X0)) = join(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_125,c_50]) ).
tcf(c_190248,plain,
! [X0: $i] : join(iPr_def_17,join(iPr_def_18,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_190086,c_50]) ).
tcf(c_190249,plain,
! [X0: $i] : join(iPr_def_17,join(iPr_def_18,X0)) = top,
inference(light_normalisation,[status(thm)],[c_190248,c_190095,c_155813]) ).
tcf(c_190260,plain,
! [X0: $i] : join(top,X0) = top,
inference(light_normalisation,[status(thm)],[c_155813,c_190095]) ).
tcf(c_190264,plain,
! [X0: $i] : join(X0,top) = top,
inference(superposition,[status(thm)],[c_190260,c_49]) ).
tcf(c_190277,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_190264,c_74]) ).
tcf(c_190278,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_190277,c_107]) ).
tcf(c_190279,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_190278,c_50,c_49]) ).
tcf(c_190313,plain,
! [X0: $i] : join(iPr_def_17,join(X0,iPr_def_18)) = top,
inference(superposition,[status(thm)],[c_49,c_190249]) ).
tcf(c_190443,plain,
join(iPr_def_17,iPr_def_19) = top,
inference(superposition,[status(thm)],[c_125,c_190313]) ).
tcf(c_190793,plain,
! [X0: $i] : join(iPr_def_14,join(X0,iPr_def_20)) = join(X0,iPr_def_21),
inference(superposition,[status(thm)],[c_127,c_190036]) ).
tcf(c_190831,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_26010,c_190036]) ).
tcf(c_190856,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X0,X2))))) = X1,
inference(superposition,[status(thm)],[c_190036,c_74]) ).
tcf(c_191035,plain,
join(iPr_def_13,converse(iPr_def_20)) = converse(iPr_def_21),
inference(superposition,[status(thm)],[c_127,c_190149]) ).
tcf(c_191347,plain,
join(complement(join(iPr_def_10,iPr_def_10)),complement(top)) = sK0,
inference(superposition,[status(thm)],[c_59,c_190047]) ).
tcf(c_191349,plain,
join(complement(join(iPr_def_10,sK1)),complement(join(iPr_def_10,iPr_def_11))) = sK0,
inference(superposition,[status(thm)],[c_117,c_190047]) ).
tcf(c_191358,plain,
! [X0: $i] : join(complement(sK0),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_190047,c_74]) ).
tcf(c_191360,plain,
join(complement(top),complement(join(iPr_def_10,iPr_def_10))) = sK0,
inference(theory_normalisation,[status(thm)],[c_191347,c_50,c_49]) ).
tcf(c_191361,plain,
join(zero,complement(join(iPr_def_10,iPr_def_10))) = sK0,
inference(light_normalisation,[status(thm)],[c_191360,c_107]) ).
tcf(c_191365,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_10,sK1))) = sK0,
inference(theory_normalisation,[status(thm)],[c_191349,c_50,c_49]) ).
tcf(c_191366,plain,
join(iPr_def_13,complement(join(iPr_def_10,sK1))) = sK0,
inference(light_normalisation,[status(thm)],[c_191365,c_118,c_119]) ).
tcf(c_191378,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(light_normalisation,[status(thm)],[c_191358,c_116]) ).
tcf(c_191842,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(top)) = sK1,
inference(superposition,[status(thm)],[c_59,c_190048]) ).
tcf(c_191843,plain,
join(complement(join(iPr_def_11,sK0)),complement(join(iPr_def_11,iPr_def_10))) = sK1,
inference(superposition,[status(thm)],[c_116,c_190048]) ).
tcf(c_191855,plain,
join(complement(top),complement(join(iPr_def_11,iPr_def_11))) = sK1,
inference(theory_normalisation,[status(thm)],[c_191842,c_50,c_49]) ).
tcf(c_191856,plain,
join(zero,complement(join(iPr_def_11,iPr_def_11))) = sK1,
inference(light_normalisation,[status(thm)],[c_191855,c_107]) ).
tcf(c_191862,plain,
join(complement(join(iPr_def_10,iPr_def_11)),complement(join(iPr_def_11,sK0))) = sK1,
inference(theory_normalisation,[status(thm)],[c_191843,c_50,c_49]) ).
tcf(c_191863,plain,
join(iPr_def_13,complement(join(iPr_def_11,sK0))) = sK1,
inference(light_normalisation,[status(thm)],[c_191862,c_118,c_119]) ).
tcf(c_192886,plain,
join(complement(top),complement(join(iPr_def_13,complement(top)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_190264,c_190050]) ).
tcf(c_192892,plain,
join(complement(join(iPr_def_13,iPr_def_13)),complement(top)) = iPr_def_12,
inference(superposition,[status(thm)],[c_59,c_190050]) ).
tcf(c_192899,plain,
join(complement(join(iPr_def_13,iPr_def_15)),complement(join(iPr_def_13,iPr_def_16))) = iPr_def_12,
inference(superposition,[status(thm)],[c_122,c_190050]) ).
tcf(c_192907,plain,
join(complement(top),complement(join(iPr_def_13,iPr_def_13))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_192892,c_50,c_49]) ).
tcf(c_192908,plain,
join(zero,complement(join(iPr_def_13,iPr_def_13))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_192907,c_107]) ).
tcf(c_192909,plain,
join(zero,complement(join(iPr_def_13,zero))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_192886,c_107]) ).
tcf(c_193647,plain,
join(complement(join(iPr_def_16,iPr_def_16)),complement(top)) = iPr_def_15,
inference(superposition,[status(thm)],[c_59,c_190051]) ).
tcf(c_193660,plain,
join(complement(top),complement(join(iPr_def_16,iPr_def_16))) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_193647,c_50,c_49]) ).
tcf(c_193661,plain,
join(zero,complement(join(iPr_def_16,iPr_def_16))) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_193660,c_107]) ).
tcf(c_197055,plain,
join(zero,complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_190279]) ).
tcf(c_197056,plain,
join(zero,complement(sK0)) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_191361,c_190279]) ).
tcf(c_197057,plain,
join(zero,complement(sK1)) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_191856,c_190279]) ).
tcf(c_197059,plain,
join(zero,complement(iPr_def_12)) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_192908,c_190279]) ).
tcf(c_197060,plain,
join(zero,complement(iPr_def_15)) = join(iPr_def_16,iPr_def_16),
inference(superposition,[status(thm)],[c_193661,c_190279]) ).
tcf(c_197063,plain,
join(zero,complement(iPr_def_12)) = join(iPr_def_13,zero),
inference(superposition,[status(thm)],[c_192909,c_190279]) ).
tcf(c_197070,plain,
join(zero,complement(join(zero,iPr_def_18))) = iPr_def_17,
inference(superposition,[status(thm)],[c_124,c_190279]) ).
tcf(c_197071,plain,
join(zero,complement(join(zero,iPr_def_20))) = iPr_def_19,
inference(superposition,[status(thm)],[c_126,c_190279]) ).
tcf(c_197077,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_197055,c_107]) ).
tcf(c_197078,plain,
join(zero,complement(join(iPr_def_20,zero))) = iPr_def_19,
inference(theory_normalisation,[status(thm)],[c_197071,c_50,c_49]) ).
tcf(c_197079,plain,
join(zero,complement(join(iPr_def_18,zero))) = iPr_def_17,
inference(theory_normalisation,[status(thm)],[c_197070,c_50,c_49]) ).
tcf(c_197085,plain,
join(zero,iPr_def_13) = join(iPr_def_13,zero),
inference(light_normalisation,[status(thm)],[c_197063,c_119]) ).
tcf(c_197088,plain,
join(zero,iPr_def_16) = join(iPr_def_16,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_197060,c_122]) ).
tcf(c_197089,plain,
join(iPr_def_16,zero) = join(iPr_def_16,iPr_def_16),
inference(theory_normalisation,[status(thm)],[c_197088,c_50,c_49]) ).
tcf(c_197090,plain,
join(zero,iPr_def_13) = join(iPr_def_13,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_197059,c_119]) ).
tcf(c_197091,plain,
join(iPr_def_13,zero) = join(iPr_def_13,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_197090,c_50,c_49]) ).
tcf(c_197093,plain,
join(zero,iPr_def_11) = join(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_197057,c_117]) ).
tcf(c_197094,plain,
join(iPr_def_11,zero) = join(iPr_def_11,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_197093,c_50,c_49]) ).
tcf(c_197095,plain,
join(zero,iPr_def_10) = join(iPr_def_10,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_197056,c_116]) ).
tcf(c_197096,plain,
join(iPr_def_10,zero) = join(iPr_def_10,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_197095,c_50,c_49]) ).
tcf(c_197115,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_197077,c_50]) ).
tcf(c_197439,plain,
join(complement(join(iPr_def_12,complement(iPr_def_13))),complement(top)) = iPr_def_13,
inference(superposition,[status(thm)],[c_59,c_190060]) ).
tcf(c_197456,plain,
join(complement(top),complement(join(iPr_def_12,complement(iPr_def_13)))) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_197439,c_50,c_49]) ).
tcf(c_197457,plain,
join(zero,complement(join(iPr_def_12,complement(iPr_def_13)))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_197456,c_107]) ).
tcf(c_198276,plain,
! [X0: $i] : join(iPr_def_14,join(iPr_def_20,X0)) = join(X0,iPr_def_21),
inference(superposition,[status(thm)],[c_49,c_190793]) ).
tcf(c_200130,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_190279,c_197115]) ).
tcf(c_200151,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_190279,c_200130]) ).
tcf(c_200152,plain,
complement(join(iPr_def_10,iPr_def_10)) = sK0,
inference(demodulation,[status(thm)],[c_191361,c_200130]) ).
tcf(c_200153,plain,
complement(join(iPr_def_11,iPr_def_11)) = sK1,
inference(demodulation,[status(thm)],[c_191856,c_200130]) ).
tcf(c_200154,plain,
complement(join(iPr_def_20,zero)) = iPr_def_19,
inference(demodulation,[status(thm)],[c_197078,c_200130]) ).
tcf(c_200155,plain,
complement(join(iPr_def_18,zero)) = iPr_def_17,
inference(demodulation,[status(thm)],[c_197079,c_200130]) ).
tcf(c_200157,plain,
complement(join(iPr_def_16,iPr_def_16)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_193661,c_200130]) ).
tcf(c_200169,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_200130,c_49]) ).
tcf(c_200256,plain,
join(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_197096,c_200169]) ).
tcf(c_200257,plain,
join(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_197094,c_200169]) ).
tcf(c_200258,plain,
join(iPr_def_13,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_197091,c_200169]) ).
tcf(c_200259,plain,
join(iPr_def_16,iPr_def_16) = iPr_def_16,
inference(demodulation,[status(thm)],[c_197089,c_200169]) ).
tcf(c_200564,plain,
complement(join(iPr_def_12,complement(iPr_def_13))) = iPr_def_13,
inference(demodulation,[status(thm)],[c_197457,c_200130]) ).
tcf(c_200570,plain,
join(complement(join(iPr_def_15,iPr_def_13)),complement(join(iPr_def_16,iPr_def_13))) = join(iPr_def_12,complement(iPr_def_13)),
inference(superposition,[status(thm)],[c_200564,c_190059]) ).
tcf(c_200590,plain,
join(complement(join(iPr_def_13,iPr_def_15)),complement(join(iPr_def_13,iPr_def_16))) = join(iPr_def_12,complement(iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_200570,c_50,c_49]) ).
tcf(c_200591,plain,
join(iPr_def_12,complement(iPr_def_13)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_200590,c_192899]) ).
tcf(c_200603,plain,
complement(iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_200564,c_200591]) ).
tcf(c_200887,plain,
! [X0: $i] : join(iPr_def_13,join(iPr_def_13,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_200258,c_50]) ).
tcf(c_200960,plain,
complement(iPr_def_10) = sK0,
inference(light_normalisation,[status(thm)],[c_200152,c_200256]) ).
tcf(c_201024,plain,
complement(iPr_def_11) = sK1,
inference(light_normalisation,[status(thm)],[c_200153,c_200257]) ).
tcf(c_201061,plain,
complement(iPr_def_20) = iPr_def_19,
inference(demodulation,[status(thm)],[c_200154,c_200169]) ).
tcf(c_201124,plain,
complement(iPr_def_18) = iPr_def_17,
inference(demodulation,[status(thm)],[c_200155,c_200169]) ).
tcf(c_201233,plain,
complement(iPr_def_16) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_200157,c_200259]) ).
tcf(c_201572,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_200151,c_200130]) ).
tcf(c_201584,plain,
complement(sK0) = iPr_def_10,
inference(superposition,[status(thm)],[c_200960,c_201572]) ).
tcf(c_201585,plain,
complement(sK1) = iPr_def_11,
inference(superposition,[status(thm)],[c_201024,c_201572]) ).
tcf(c_201588,plain,
complement(iPr_def_17) = iPr_def_18,
inference(superposition,[status(thm)],[c_201124,c_201572]) ).
tcf(c_201589,plain,
complement(iPr_def_15) = iPr_def_16,
inference(superposition,[status(thm)],[c_201233,c_201572]) ).
tcf(c_201793,plain,
join(iPr_def_13,converse(iPr_def_21)) = converse(iPr_def_21),
inference(superposition,[status(thm)],[c_191035,c_200887]) ).
tcf(c_201794,plain,
join(iPr_def_13,sK0) = sK0,
inference(superposition,[status(thm)],[c_191366,c_200887]) ).
tcf(c_201795,plain,
join(iPr_def_13,sK1) = sK1,
inference(superposition,[status(thm)],[c_191863,c_200887]) ).
tcf(c_201940,plain,
join(iPr_def_15,converse(iPr_def_13)) = converse(sK0),
inference(superposition,[status(thm)],[c_201794,c_190167]) ).
tcf(c_201946,plain,
join(iPr_def_15,iPr_def_14) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_201940,c_190075,c_190077]) ).
tcf(c_201947,plain,
join(iPr_def_14,iPr_def_15) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_201946,c_50,c_49]) ).
tcf(c_201950,plain,
! [X0: $i] : join(iPr_def_13,join(X0,sK1)) = join(X0,sK1),
inference(superposition,[status(thm)],[c_201795,c_190036]) ).
tcf(c_201954,plain,
join(iPr_def_17,converse(iPr_def_13)) = converse(sK1),
inference(superposition,[status(thm)],[c_201795,c_190166]) ).
tcf(c_201960,plain,
join(iPr_def_17,iPr_def_14) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_201954,c_190076,c_190077]) ).
tcf(c_201961,plain,
join(iPr_def_14,iPr_def_17) = iPr_def_17,
inference(theory_normalisation,[status(thm)],[c_201960,c_50,c_49]) ).
tcf(c_201990,plain,
! [X0: $i] : join(iPr_def_14,join(iPr_def_15,X0)) = join(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_201947,c_50]) ).
tcf(c_201998,plain,
! [X0: $i] : join(iPr_def_14,join(iPr_def_17,X0)) = join(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_201961,c_50]) ).
tcf(c_202106,plain,
join(complement(join(iPr_def_19,iPr_def_17)),complement(join(iPr_def_20,iPr_def_17))) = iPr_def_18,
inference(superposition,[status(thm)],[c_201124,c_190071]) ).
tcf(c_202107,plain,
join(complement(join(iPr_def_19,iPr_def_15)),complement(join(iPr_def_20,iPr_def_15))) = iPr_def_16,
inference(superposition,[status(thm)],[c_201233,c_190071]) ).
tcf(c_202114,plain,
join(complement(join(iPr_def_15,iPr_def_19)),complement(join(iPr_def_15,iPr_def_20))) = iPr_def_16,
inference(theory_normalisation,[status(thm)],[c_202107,c_50,c_49]) ).
tcf(c_202115,plain,
join(zero,complement(join(iPr_def_15,iPr_def_20))) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_202114,c_107,c_190095]) ).
tcf(c_202116,plain,
join(complement(join(iPr_def_17,iPr_def_19)),complement(join(iPr_def_17,iPr_def_20))) = iPr_def_18,
inference(theory_normalisation,[status(thm)],[c_202106,c_50,c_49]) ).
tcf(c_202117,plain,
join(zero,complement(join(iPr_def_17,iPr_def_20))) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_202116,c_107,c_190443]) ).
tcf(c_202435,plain,
! [X0: $i] : complement(join(complement(X0),complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_190093,c_200130]) ).
tcf(c_202458,plain,
! [X0: $i] : complement(join(X0,X0)) = complement(X0),
inference(superposition,[status(thm)],[c_201572,c_202435]) ).
tcf(c_202658,plain,
! [X0: $i] : join(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_202458,c_201572]) ).
tcf(c_202662,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_202658,c_201572]) ).
tcf(c_202688,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_202662,c_50]) ).
tcf(c_203039,plain,
complement(join(iPr_def_15,iPr_def_20)) = iPr_def_16,
inference(demodulation,[status(thm)],[c_202115,c_200130]) ).
tcf(c_203040,plain,
join(iPr_def_15,iPr_def_20) = complement(iPr_def_16),
inference(superposition,[status(thm)],[c_203039,c_201572]) ).
tcf(c_203044,plain,
join(iPr_def_15,iPr_def_20) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_203040,c_201233]) ).
tcf(c_203053,plain,
join(sK0,converse(iPr_def_20)) = converse(iPr_def_15),
inference(superposition,[status(thm)],[c_203044,c_190147]) ).
tcf(c_203063,plain,
join(sK0,converse(iPr_def_20)) = sK0,
inference(light_normalisation,[status(thm)],[c_203053,c_190072]) ).
tcf(c_203287,plain,
complement(join(iPr_def_17,iPr_def_20)) = iPr_def_18,
inference(demodulation,[status(thm)],[c_202117,c_200130]) ).
tcf(c_203288,plain,
join(iPr_def_17,iPr_def_20) = complement(iPr_def_18),
inference(superposition,[status(thm)],[c_203287,c_201572]) ).
tcf(c_203292,plain,
join(iPr_def_17,iPr_def_20) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_203288,c_201124]) ).
tcf(c_203301,plain,
join(sK1,converse(iPr_def_20)) = converse(iPr_def_17),
inference(superposition,[status(thm)],[c_203292,c_190148]) ).
tcf(c_203311,plain,
join(sK1,converse(iPr_def_20)) = sK1,
inference(light_normalisation,[status(thm)],[c_203301,c_190073]) ).
tcf(c_203330,plain,
! [X0: $i] : join(sK1,join(converse(iPr_def_20),X0)) = join(sK1,X0),
inference(superposition,[status(thm)],[c_203311,c_50]) ).
tcf(c_209786,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_190223,c_190260]) ).
tcf(c_209815,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X0,X1)) = top,
inference(superposition,[status(thm)],[c_201572,c_209786]) ).
tcf(c_209940,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_209815,c_50,c_49]) ).
tcf(c_217943,plain,
join(iPr_def_15,complement(iPr_def_14)) = top,
inference(superposition,[status(thm)],[c_209940,c_201990]) ).
tcf(c_217944,plain,
join(iPr_def_17,complement(iPr_def_14)) = top,
inference(superposition,[status(thm)],[c_209940,c_201998]) ).
tcf(c_218316,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[status(thm)],[c_190130,c_202688]) ).
tcf(c_218326,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_218316,c_50,c_49]) ).
tcf(c_218528,plain,
join(complement(top),complement(join(complement(iPr_def_14),complement(iPr_def_17)))) = iPr_def_14,
inference(superposition,[status(thm)],[c_217944,c_190131]) ).
tcf(c_218529,plain,
join(complement(top),complement(join(complement(iPr_def_14),complement(iPr_def_15)))) = iPr_def_14,
inference(superposition,[status(thm)],[c_217943,c_190131]) ).
tcf(c_218605,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),X1) = X1,
inference(superposition,[status(thm)],[c_190131,c_202688]) ).
tcf(c_218615,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_218605,c_50,c_49]) ).
tcf(c_218620,plain,
join(zero,complement(join(complement(iPr_def_14),iPr_def_16))) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_218529,c_107,c_201589]) ).
tcf(c_218621,plain,
join(zero,complement(join(iPr_def_16,complement(iPr_def_14)))) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_218620,c_50,c_49]) ).
tcf(c_218622,plain,
join(zero,complement(join(complement(iPr_def_14),iPr_def_18))) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_218528,c_107,c_201588]) ).
tcf(c_218623,plain,
join(zero,complement(join(iPr_def_18,complement(iPr_def_14)))) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_218622,c_50,c_49]) ).
tcf(c_220083,plain,
join(sK1,complement(converse(iPr_def_20))) = join(sK1,top),
inference(superposition,[status(thm)],[c_59,c_203330]) ).
tcf(c_220088,plain,
! [X0: $i] : join(sK1,join(X0,complement(converse(iPr_def_20)))) = join(sK1,top),
inference(superposition,[status(thm)],[c_209940,c_203330]) ).
tcf(c_220158,plain,
join(sK1,complement(converse(iPr_def_20))) = top,
inference(demodulation,[status(thm)],[c_220083,c_190264]) ).
tcf(c_220162,plain,
! [X0: $i] : join(sK1,join(X0,complement(converse(iPr_def_20)))) = join(X0,top),
inference(superposition,[status(thm)],[c_220158,c_190036]) ).
tcf(c_220175,plain,
! [X0: $i] : join(sK1,join(X0,complement(converse(iPr_def_20)))) = top,
inference(light_normalisation,[status(thm)],[c_220162,c_190264,c_220088]) ).
tcf(c_233079,plain,
! [X0: $i] : join(iPr_def_12,complement(join(iPr_def_13,X0))) = iPr_def_12,
inference(superposition,[status(thm)],[c_200603,c_218326]) ).
tcf(c_233089,plain,
! [X0: $i] : join(iPr_def_11,complement(join(sK1,X0))) = iPr_def_11,
inference(superposition,[status(thm)],[c_201024,c_218326]) ).
tcf(c_233091,plain,
! [X0: $i] : join(iPr_def_20,complement(join(iPr_def_19,X0))) = iPr_def_20,
inference(superposition,[status(thm)],[c_201061,c_218326]) ).
tcf(c_233141,plain,
! [X0: $i] : join(iPr_def_13,converse(complement(join(complement(iPr_def_14),X0)))) = converse(iPr_def_14),
inference(superposition,[status(thm)],[c_218326,c_190149]) ).
tcf(c_233218,plain,
! [X0: $i] : join(iPr_def_13,converse(complement(join(complement(iPr_def_14),X0)))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_233141,c_190074]) ).
tcf(c_233492,plain,
join(iPr_def_12,complement(converse(iPr_def_21))) = iPr_def_12,
inference(superposition,[status(thm)],[c_201793,c_233079]) ).
tcf(c_233496,plain,
! [X0: $i] : join(iPr_def_12,complement(join(X0,sK1))) = iPr_def_12,
inference(superposition,[status(thm)],[c_201950,c_233079]) ).
tcf(c_234258,plain,
! [X0: $i] : join(iPr_def_11,complement(join(X0,sK1))) = iPr_def_11,
inference(superposition,[status(thm)],[c_49,c_233089]) ).
tcf(c_234313,plain,
! [X0: $i] : join(iPr_def_12,complement(join(sK1,X0))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_233089,c_190226]) ).
tcf(c_236638,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X1,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_201572,c_218615]) ).
tcf(c_238203,plain,
complement(join(iPr_def_16,complement(iPr_def_14))) = iPr_def_14,
inference(demodulation,[status(thm)],[c_218621,c_200130]) ).
tcf(c_238219,plain,
join(iPr_def_16,complement(iPr_def_14)) = complement(iPr_def_14),
inference(superposition,[status(thm)],[c_238203,c_201572]) ).
tcf(c_238261,plain,
complement(join(iPr_def_18,complement(iPr_def_14))) = iPr_def_14,
inference(demodulation,[status(thm)],[c_218623,c_200130]) ).
tcf(c_238277,plain,
join(iPr_def_18,complement(iPr_def_14)) = complement(iPr_def_14),
inference(superposition,[status(thm)],[c_238261,c_201572]) ).
tcf(c_238338,plain,
join(iPr_def_16,complement(iPr_def_14)) = join(iPr_def_19,complement(iPr_def_14)),
inference(superposition,[status(thm)],[c_238277,c_190227]) ).
tcf(c_238349,plain,
join(iPr_def_19,complement(iPr_def_14)) = complement(iPr_def_14),
inference(light_normalisation,[status(thm)],[c_238338,c_238219]) ).
tcf(c_238950,plain,
! [X0: $i] : join(iPr_def_19,join(complement(iPr_def_14),X0)) = join(complement(iPr_def_14),X0),
inference(superposition,[status(thm)],[c_238349,c_50]) ).
tcf(c_238958,plain,
join(iPr_def_20,complement(complement(iPr_def_14))) = iPr_def_20,
inference(superposition,[status(thm)],[c_238349,c_233091]) ).
tcf(c_238977,plain,
iPr_def_20 = iPr_def_21,
inference(demodulation,[status(thm)],[c_238958,c_49,c_127,c_201572]) ).
tcf(c_238984,plain,
join(iPr_def_12,complement(converse(iPr_def_20))) = iPr_def_12,
inference(demodulation,[status(thm)],[c_233492,c_238977]) ).
tcf(c_239045,plain,
! [X0: $i] : join(iPr_def_14,join(iPr_def_20,X0)) = join(X0,iPr_def_20),
inference(demodulation,[status(thm)],[c_198276,c_238977]) ).
tcf(c_239056,plain,
join(iPr_def_13,converse(iPr_def_20)) = converse(iPr_def_20),
inference(demodulation,[status(thm)],[c_191035,c_238977]) ).
tcf(c_239061,plain,
( ( iPr_def_20 != iPr_def_20 )
| ( iPr_def_14 != iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_128,c_238977]) ).
tcf(c_239070,plain,
iPr_def_14 != iPr_def_20,
inference(equality_resolution_simp,[status(thm)],[c_239061]) ).
tcf(c_239206,plain,
! [X0: $i] : join(iPr_def_12,join(complement(converse(iPr_def_20)),X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_238984,c_50]) ).
tcf(c_239236,plain,
join(converse(iPr_def_13),iPr_def_20) = converse(converse(iPr_def_20)),
inference(superposition,[status(thm)],[c_239056,c_190150]) ).
tcf(c_239244,plain,
join(iPr_def_20,converse(iPr_def_13)) = converse(converse(iPr_def_20)),
inference(theory_normalisation,[status(thm)],[c_239236,c_50,c_49]) ).
tcf(c_239245,plain,
join(iPr_def_20,iPr_def_14) = converse(converse(iPr_def_20)),
inference(light_normalisation,[status(thm)],[c_239244,c_190077]) ).
tcf(c_239246,plain,
join(iPr_def_14,iPr_def_20) = converse(converse(iPr_def_20)),
inference(theory_normalisation,[status(thm)],[c_239245,c_50,c_49]) ).
tcf(c_241655,plain,
! [X0: $i] : join(sK1,join(complement(converse(iPr_def_20)),X0)) = top,
inference(superposition,[status(thm)],[c_49,c_220175]) ).
tcf(c_275265,plain,
! [X0: $i] : join(iPr_def_20,complement(join(complement(iPr_def_14),X0))) = iPr_def_20,
inference(superposition,[status(thm)],[c_238950,c_233091]) ).
tcf(c_277082,plain,
! [X0: $i] : join(iPr_def_12,join(X0,complement(converse(iPr_def_20)))) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_49,c_239206]) ).
tcf(c_278236,plain,
! [X0: $i] : join(complement(top),complement(join(complement(converse(iPr_def_20)),complement(join(sK1,X0))))) = converse(iPr_def_20),
inference(superposition,[status(thm)],[c_241655,c_190856]) ).
tcf(c_279059,plain,
! [X0: $i] : join(zero,complement(join(complement(converse(iPr_def_20)),complement(join(sK1,X0))))) = converse(iPr_def_20),
inference(light_normalisation,[status(thm)],[c_278236,c_107]) ).
tcf(c_302471,plain,
! [X0: $i] : join(iPr_def_20,complement(join(X0,complement(iPr_def_14)))) = iPr_def_20,
inference(superposition,[status(thm)],[c_190831,c_275265]) ).
tcf(c_314628,plain,
! [X0: $i,X1: $i] : join(iPr_def_20,complement(join(X0,join(X1,complement(iPr_def_14))))) = iPr_def_20,
inference(superposition,[status(thm)],[c_50,c_302471]) ).
tcf(c_318807,plain,
! [X0: $i] : join(iPr_def_10,complement(join(iPr_def_10,complement(X0)))) = join(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_191378,c_49,c_190036,c_201572,c_236638]) ).
tcf(c_318825,plain,
join(iPr_def_10,complement(join(iPr_def_10,iPr_def_11))) = join(iPr_def_10,sK1),
inference(superposition,[status(thm)],[c_201585,c_318807]) ).
tcf(c_318864,plain,
join(iPr_def_10,sK1) = join(iPr_def_10,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_318825,c_118,c_200603]) ).
tcf(c_319214,plain,
join(iPr_def_11,complement(join(iPr_def_10,iPr_def_13))) = iPr_def_11,
inference(superposition,[status(thm)],[c_318864,c_234258]) ).
tcf(c_319215,plain,
join(iPr_def_12,complement(join(iPr_def_10,iPr_def_13))) = iPr_def_12,
inference(superposition,[status(thm)],[c_318864,c_233496]) ).
tcf(c_319281,plain,
join(iPr_def_12,complement(join(iPr_def_10,iPr_def_13))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_319214,c_190226]) ).
tcf(c_330929,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,join(X1,complement(iPr_def_14)))),iPr_def_20) = join(iPr_def_14,iPr_def_20),
inference(superposition,[status(thm)],[c_314628,c_239045]) ).
tcf(c_330965,plain,
! [X0: $i,X1: $i] : join(iPr_def_20,complement(join(X0,join(X1,complement(iPr_def_14))))) = join(iPr_def_14,iPr_def_20),
inference(theory_normalisation,[status(thm)],[c_330929,c_50,c_49]) ).
tcf(c_383276,plain,
! [X0: $i] : join(iPr_def_14,converse(converse(complement(join(complement(iPr_def_14),X0))))) = converse(iPr_def_13),
inference(superposition,[status(thm)],[c_233218,c_190145]) ).
tcf(c_383292,plain,
! [X0: $i] : join(iPr_def_14,converse(converse(complement(join(complement(iPr_def_14),X0))))) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_383276,c_190077]) ).
tcf(c_434392,plain,
join(complement(converse(iPr_def_20)),complement(sK0)) = complement(converse(iPr_def_20)),
inference(superposition,[status(thm)],[c_203063,c_236638]) ).
tcf(c_434608,plain,
join(complement(converse(iPr_def_20)),complement(sK1)) = complement(converse(iPr_def_20)),
inference(superposition,[status(thm)],[c_203311,c_236638]) ).
tcf(c_435391,plain,
join(complement(sK1),complement(converse(iPr_def_20))) = complement(converse(iPr_def_20)),
inference(theory_normalisation,[status(thm)],[c_434608,c_50,c_49]) ).
tcf(c_435392,plain,
join(iPr_def_11,complement(converse(iPr_def_20))) = complement(converse(iPr_def_20)),
inference(light_normalisation,[status(thm)],[c_435391,c_201585]) ).
tcf(c_435404,plain,
join(complement(sK0),complement(converse(iPr_def_20))) = complement(converse(iPr_def_20)),
inference(theory_normalisation,[status(thm)],[c_434392,c_50,c_49]) ).
tcf(c_435405,plain,
join(iPr_def_10,complement(converse(iPr_def_20))) = complement(converse(iPr_def_20)),
inference(light_normalisation,[status(thm)],[c_435404,c_201584]) ).
tcf(c_437573,plain,
join(iPr_def_10,complement(converse(iPr_def_20))) = join(iPr_def_12,complement(converse(iPr_def_20))),
inference(superposition,[status(thm)],[c_435392,c_190226]) ).
tcf(c_437580,plain,
join(iPr_def_12,complement(converse(iPr_def_20))) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_435392,c_277082]) ).
tcf(c_437585,plain,
join(iPr_def_12,complement(converse(iPr_def_20))) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_437580,c_50,c_49]) ).
tcf(c_437588,plain,
complement(converse(iPr_def_20)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_437573,c_238984,c_435405]) ).
tcf(c_437622,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_437588,c_437585,c_437573,c_435405,c_383292,c_383276,c_330965,c_319281,c_319215,c_314628,c_239246,c_239070,c_234313,c_197091,c_197085,c_279059,c_200603,c_200258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL005+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.38 % Computer : n001.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Thu Sep 24 07:13:07 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.43
% 0.14/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.43
% 0.14/10.43 % Detected problem language: tptp
% 0.14/10.44 % Proving...
% 148.73/36.52 % SZS status Started for theBenchmark.p
% 148.73/36.52 % SZS status Theorem for theBenchmark.p
% 148.73/36.52
% 148.73/36.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 148.73/36.52
% 148.73/36.52 % ------ iProver source info
% 148.73/36.52
% 148.73/36.52 % git: date: 2026-07-19 20:42:38 +0200
% 148.73/36.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 148.73/36.52 % git: non_committed_changes: false
% 148.73/36.52
% 148.73/36.52 % ------ Parsing...
% 148.73/36.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 148.73/36.52
% 148.73/36.52 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 148.73/36.52
% 148.73/36.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 148.73/36.52
% 148.73/36.52 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 148.73/36.52 % ------ Proving...
% 148.73/36.52 % ------ Problem Properties
% 148.73/36.52
% 148.73/36.52 %
% 148.73/36.52 % clauses 25
% 148.73/36.52 % conjectures 1
% 148.73/36.52 % EPR 1
% 148.73/36.52 % Horn 25
% 148.73/36.52 % unary 24
% 148.73/36.52 % binary 1
% 148.73/36.52 % lits 26
% 148.73/36.52 % lits eq 26
% 148.73/36.52 % fd_pure 0
% 148.73/36.52 % fd_pseudo 0
% 148.73/36.52 % fd_cond 0
% 148.73/36.52 % fd_pseudo_cond 0
% 148.73/36.52 % AC symbols 1
% 148.73/36.52
% 148.73/36.52 % ------ Schedule dynamic 5 is on
% 148.73/36.52
% 148.73/36.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 148.73/36.52
% 148.73/36.52
% 148.73/36.52 % ------
% 148.73/36.52 % Current options:
% 148.73/36.52 % ------
% 148.73/36.52
% 148.73/36.52
% 148.73/36.52 %
% 148.73/36.52
% 148.73/36.52 % ------ Proving...
% 148.73/36.52 % Proof_search_loop: time out after: 4493 full_loop iterations
% 148.73/36.52
% 148.73/36.52 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 148.73/36.52
% 148.73/36.52
% 148.73/36.52 % ------
% 148.73/36.52 % Current options:
% 148.73/36.52 % ------
% 148.73/36.52
% 148.73/36.52
% 148.73/36.52 %
% 148.73/36.52
% 148.73/36.52 % ------ Proving...
% 148.73/36.52 %
% 148.73/36.52
% 148.73/36.52 % SZS status Theorem for theBenchmark.p
% 148.73/36.52
% 148.73/36.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 148.73/36.52
% 148.73/36.52
%------------------------------------------------------------------------------