0.00/0.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.49 % Computer : n186.star.cs.uiowa.edu 0.03/0.49 % Model : x86_64 x86_64 0.03/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.49 % Memory : 32218.625MB 0.03/0.49 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.49 % CPULimit : 300 0.03/0.49 % DateTime : Sat Jul 14 04:16:41 CDT 2018 0.03/0.49 % CPUTime : 0.03/0.49 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.49 % remaining time: 5999 next slice time: 22 0.03/0.53 dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_20 on theBenchmark 2.39/2.82 % (61669)Time limit reached! 2.39/2.82 % ------------------------------ 2.39/2.82 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.39/2.82 % Termination reason: Time limit 2.39/2.82 % Termination phase: Saturation 2.39/2.82 2.39/2.82 % Memory used [KB]: 81363 2.39/2.82 % Time elapsed: 2.300 s 2.39/2.82 % ------------------------------ 2.39/2.82 % ------------------------------ 2.39/2.83 % remaining time: 5976 next slice time: 81 2.39/2.83 lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_77 on theBenchmark 10.58/11.03 % (61819)Time limit reached! 10.58/11.03 % ------------------------------ 10.58/11.03 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 10.58/11.03 % Termination reason: Time limit 10.58/11.03 % Termination phase: Saturation 10.58/11.03 10.58/11.03 % Memory used [KB]: 249974 10.58/11.03 % Time elapsed: 8.200 s 10.58/11.03 % ------------------------------ 10.58/11.03 % ------------------------------ 10.58/11.05 % remaining time: 5894 next slice time: 5 10.58/11.06 dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_3 on theBenchmark 11.18/11.66 % (61948)Time limit reached! 11.18/11.66 % ------------------------------ 11.18/11.66 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 11.18/11.66 % Termination reason: Time limit 11.18/11.66 % Termination phase: Saturation 11.18/11.66 11.18/11.66 % Memory used [KB]: 31470 11.18/11.66 % Time elapsed: 0.600 s 11.18/11.66 % ------------------------------ 11.18/11.66 % ------------------------------ 11.18/11.66 % remaining time: 5888 next slice time: 11 11.18/11.66 dis+11_5:4_acc=on:add=large:afr=on:afp=4000:afq=2.0:amm=off:anc=none:ccuc=small_ones:fsr=off:irw=on:nm=32:nwc=2.5:nicw=on:urr=on:updr=off_10 on theBenchmark 12.38/12.86 % (61949)Time limit reached! 12.38/12.86 % ------------------------------ 12.38/12.86 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 12.38/12.86 % Termination reason: Time limit 12.38/12.86 % Termination phase: Saturation 12.38/12.86 12.38/12.86 % Memory used [KB]: 53090 12.38/12.86 % Time elapsed: 1.200 s 12.38/12.86 % ------------------------------ 12.38/12.86 % ------------------------------ 12.38/12.86 % remaining time: 5876 next slice time: 14 12.38/12.87 dis+11_50_add=large:afp=1000:afq=1.0:amm=sco:anc=none:fsr=off:nm=16:nwc=1.5:sac=on_13 on theBenchmark 13.89/14.36 % (61950)Time limit reached! 13.89/14.36 % ------------------------------ 13.89/14.36 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.89/14.36 % Termination reason: Time limit 13.89/14.36 % Termination phase: Saturation 13.89/14.36 13.89/14.36 % Memory used [KB]: 67035 13.89/14.36 % Time elapsed: 1.500 s 13.89/14.36 % ------------------------------ 13.89/14.36 % ------------------------------ 13.89/14.37 % remaining time: 5861 next slice time: 309 13.89/14.37 ott+11_20_afr=on:afp=100000:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_294 on theBenchmark 36.38/36.69 % Refutation found. Thanks to Tanya! 36.38/36.69 % SZS status Theorem for theBenchmark 36.38/36.69 % SZS output start Proof for theBenchmark 36.38/36.69 fof(f1,axiom,( 36.38/36.69 ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0), 36.38/36.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan)). 36.38/36.69 fof(f2,axiom,( 36.38/36.69 ! [X0] : zero = meet(X0,complement(X0))), 36.38/36.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero)). 36.38/36.69 fof(f3,axiom,( 36.38/36.69 ! [X0] : join(X0,complement(X0)) = top), 36.38/36.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top)). 36.38/36.69 fof(f4,axiom,( 36.38/36.69 ! [X0,X1] : composition(converse(X1),converse(X0)) = converse(composition(X0,X1))), 36.38/36.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity)). 36.38/36.70 fof(f5,axiom,( 36.38/36.70 ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity)). 36.38/36.70 fof(f6,axiom,( 36.38/36.70 ! [X0] : converse(converse(X0)) = X0), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence)). 36.38/36.70 fof(f7,axiom,( 36.38/36.70 ! [X0,X1] : join(converse(X0),converse(X1)) = converse(join(X0,X1))), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity)). 36.38/36.70 fof(f8,axiom,( 36.38/36.70 ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity)). 36.38/36.70 fof(f9,axiom,( 36.38/36.70 ! [X0,X1] : join(X0,X1) = join(X1,X0)), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity)). 36.38/36.70 fof(f10,axiom,( 36.38/36.70 ! [X0] : composition(X0,one) = X0), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity)). 36.38/36.70 fof(f11,axiom,( 36.38/36.70 ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1)), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet)). 36.38/36.70 fof(f12,axiom,( 36.38/36.70 ! [X0,X1,X2] : join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2)), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity)). 36.38/36.70 fof(f13,axiom,( 36.38/36.70 ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2)), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity)). 36.38/36.70 fof(f14,axiom,( 36.38/36.70 ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_1)). 36.38/36.70 fof(f15,axiom,( 36.38/36.70 ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_2)). 36.38/36.70 fof(f16,axiom,( 36.38/36.70 ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law)). 36.38/36.70 fof(f17,conjecture,( 36.38/36.70 ! [X0,X1] : ((join(X1,one) = one & join(X0,one) = one) => meet(X0,X1) = composition(X0,X1))), 36.38/36.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)). 36.38/36.70 fof(f18,negated_conjecture,( 36.38/36.70 ~! [X0,X1] : ((join(X1,one) = one & join(X0,one) = one) => meet(X0,X1) = composition(X0,X1))), 36.38/36.70 inference(negated_conjecture,[],[f17])). 36.38/36.70 fof(f19,plain,( 36.38/36.70 ? [X0,X1] : (meet(X0,X1) != composition(X0,X1) & (join(X1,one) = one & join(X0,one) = one))), 36.38/36.70 inference(ennf_transformation,[],[f18])). 36.38/36.70 fof(f20,plain,( 36.38/36.70 ? [X0,X1] : (meet(X0,X1) != composition(X0,X1) & join(X1,one) = one & join(X0,one) = one)), 36.38/36.70 inference(flattening,[],[f19])). 36.38/36.70 fof(f21,plain,( 36.38/36.70 ? [X0,X1] : (meet(X0,X1) != composition(X0,X1) & join(X1,one) = one & join(X0,one) = one) => (meet(sK0,sK1) != composition(sK0,sK1) & join(sK1,one) = one & join(sK0,one) = one)), 36.38/36.70 introduced(choice_axiom,[])). 36.38/36.70 fof(f22,plain,( 36.38/36.70 meet(sK0,sK1) != composition(sK0,sK1) & join(sK1,one) = one & join(sK0,one) = one), 36.38/36.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f20,f21])). 36.38/36.70 fof(f23,plain,( 36.38/36.70 join(sK0,one) = one), 36.38/36.70 inference(cnf_transformation,[],[f22])). 36.38/36.70 fof(f24,plain,( 36.38/36.70 join(sK1,one) = one), 36.38/36.70 inference(cnf_transformation,[],[f22])). 36.38/36.70 fof(f25,plain,( 36.38/36.70 meet(sK0,sK1) != composition(sK0,sK1)), 36.38/36.70 inference(cnf_transformation,[],[f22])). 36.38/36.70 fof(f26,plain,( 36.38/36.70 ( ! [X0] : (composition(X0,one) = X0) )), 36.38/36.70 inference(cnf_transformation,[],[f10])). 36.38/36.70 fof(f27,plain,( 36.38/36.70 ( ! [X0] : (converse(converse(X0)) = X0) )), 36.38/36.70 inference(cnf_transformation,[],[f6])). 36.38/36.70 fof(f28,plain,( 36.38/36.70 ( ! [X0] : (zero = meet(X0,complement(X0))) )), 36.38/36.70 inference(cnf_transformation,[],[f2])). 36.38/36.70 fof(f29,plain,( 36.38/36.70 ( ! [X0] : (join(X0,complement(X0)) = top) )), 36.38/36.70 inference(cnf_transformation,[],[f3])). 36.38/36.70 fof(f30,plain,( 36.38/36.70 ( ! [X0,X1] : (join(X0,X1) = join(X1,X0)) )), 36.38/36.70 inference(cnf_transformation,[],[f9])). 36.38/36.70 fof(f31,plain,( 36.38/36.70 ( ! [X0,X1] : (join(converse(X0),converse(X1)) = converse(join(X0,X1))) )), 36.38/36.70 inference(cnf_transformation,[],[f7])). 36.38/36.70 fof(f32,plain,( 36.38/36.70 ( ! [X0,X1] : (complement(join(complement(X0),complement(X1))) = meet(X0,X1)) )), 36.38/36.70 inference(cnf_transformation,[],[f11])). 36.38/36.70 fof(f33,plain,( 36.38/36.70 ( ! [X0,X1] : (composition(converse(X1),converse(X0)) = converse(composition(X0,X1))) )), 36.38/36.70 inference(cnf_transformation,[],[f4])). 36.38/36.70 fof(f34,plain,( 36.38/36.70 ( ! [X0,X1] : (complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))) )), 36.38/36.70 inference(cnf_transformation,[],[f8])). 36.38/36.70 fof(f35,plain,( 36.38/36.70 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0) )), 36.38/36.70 inference(cnf_transformation,[],[f1])). 36.38/36.70 fof(f36,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)) )), 36.38/36.70 inference(cnf_transformation,[],[f5])). 36.38/36.70 fof(f37,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2)) )), 36.38/36.70 inference(cnf_transformation,[],[f13])). 36.38/36.70 fof(f38,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2)) )), 36.38/36.70 inference(cnf_transformation,[],[f12])). 36.38/36.70 fof(f39,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) )), 36.38/36.70 inference(cnf_transformation,[],[f14])). 36.38/36.70 fof(f40,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) )), 36.38/36.70 inference(cnf_transformation,[],[f15])). 36.38/36.70 fof(f41,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) )), 36.38/36.70 inference(cnf_transformation,[],[f16])). 36.38/36.70 fof(f42,plain,( 36.38/36.70 complement(join(complement(sK0),complement(sK1))) != composition(sK0,sK1)), 36.38/36.70 inference(definition_unfolding,[],[f25,f32])). 36.38/36.70 fof(f43,plain,( 36.38/36.70 ( ! [X0] : (complement(join(complement(X0),complement(complement(X0)))) = zero) )), 36.38/36.70 inference(definition_unfolding,[],[f28,f32])). 36.38/36.70 fof(f44,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))))) )), 36.38/36.70 inference(definition_unfolding,[],[f39,f32,f32,f32,f32,f32])). 36.38/36.70 fof(f45,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))))) )), 36.38/36.70 inference(definition_unfolding,[],[f40,f32,f32,f32,f32,f32])). 36.38/36.70 fof(f46,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))) = composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))) )), 36.38/36.70 inference(definition_unfolding,[],[f41,f32,f32,f32,f32,f32])). 36.38/36.70 fof(f47,plain,( 36.38/36.70 complement(top) = zero), 36.38/36.70 inference(backward_demodulation,[],[f29,f43])). 36.38/36.70 fof(f48,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))))) )), 36.38/36.70 inference(forward_demodulation,[],[f44,f30])). 36.38/36.70 fof(f49,plain,( 36.38/36.70 ( ! [X2,X0,X1] : (complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))))) )), 36.38/36.70 inference(forward_demodulation,[],[f45,f30])). 36.38/36.70 fof(f54,plain,( 36.38/36.70 spl2_0 <=> complement(top) = zero), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_0])])). 36.38/36.70 fof(f55,plain,( 36.38/36.70 complement(top) = zero | ~spl2_0), 36.38/36.70 inference(avatar_component_clause,[],[f54])). 36.38/36.70 fof(f56,plain,( 36.38/36.70 spl2_0), 36.38/36.70 inference(avatar_split_clause,[],[f47,f54])). 36.38/36.70 fof(f61,plain,( 36.38/36.70 spl2_2 <=> join(sK0,one) = one), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 36.38/36.70 fof(f62,plain,( 36.38/36.70 join(sK0,one) = one | ~spl2_2), 36.38/36.70 inference(avatar_component_clause,[],[f61])). 36.38/36.70 fof(f63,plain,( 36.38/36.70 spl2_2), 36.38/36.70 inference(avatar_split_clause,[],[f23,f61])). 36.38/36.70 fof(f68,plain,( 36.38/36.70 spl2_4 <=> join(sK1,one) = one), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 36.38/36.70 fof(f69,plain,( 36.38/36.70 join(sK1,one) = one | ~spl2_4), 36.38/36.70 inference(avatar_component_clause,[],[f68])). 36.38/36.70 fof(f70,plain,( 36.38/36.70 spl2_4), 36.38/36.70 inference(avatar_split_clause,[],[f24,f68])). 36.38/36.70 fof(f72,plain,( 36.38/36.70 spl2_6 <=> ! [X0] : composition(X0,one) = X0), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 36.38/36.70 fof(f73,plain,( 36.38/36.70 ( ! [X0] : (composition(X0,one) = X0) ) | ~spl2_6), 36.38/36.70 inference(avatar_component_clause,[],[f72])). 36.38/36.70 fof(f74,plain,( 36.38/36.70 spl2_6), 36.38/36.70 inference(avatar_split_clause,[],[f26,f72])). 36.38/36.70 fof(f76,plain,( 36.38/36.70 spl2_8 <=> ! [X0] : converse(converse(X0)) = X0), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])). 36.38/36.70 fof(f77,plain,( 36.38/36.70 ( ! [X0] : (converse(converse(X0)) = X0) ) | ~spl2_8), 36.38/36.70 inference(avatar_component_clause,[],[f76])). 36.38/36.70 fof(f78,plain,( 36.38/36.70 spl2_8), 36.38/36.70 inference(avatar_split_clause,[],[f27,f76])). 36.38/36.70 fof(f80,plain,( 36.38/36.70 spl2_10 <=> ! [X0] : join(X0,complement(X0)) = top), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_10])])). 36.38/36.70 fof(f81,plain,( 36.38/36.70 ( ! [X0] : (join(X0,complement(X0)) = top) ) | ~spl2_10), 36.38/36.70 inference(avatar_component_clause,[],[f80])). 36.38/36.70 fof(f82,plain,( 36.38/36.70 spl2_10), 36.38/36.70 inference(avatar_split_clause,[],[f29,f80])). 36.38/36.70 fof(f83,plain,( 36.38/36.70 join(top,zero) = top | (~spl2_0 | ~spl2_10)), 36.38/36.70 inference(superposition,[],[f81,f55])). 36.38/36.70 fof(f88,plain,( 36.38/36.70 spl2_12 <=> join(top,zero) = top), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_12])])). 36.38/36.70 fof(f89,plain,( 36.38/36.70 join(top,zero) = top | ~spl2_12), 36.38/36.70 inference(avatar_component_clause,[],[f88])). 36.38/36.70 fof(f90,plain,( 36.38/36.70 spl2_12 | ~spl2_0 | ~spl2_10), 36.38/36.70 inference(avatar_split_clause,[],[f83,f80,f54,f88])). 36.38/36.70 fof(f92,plain,( 36.38/36.70 spl2_14 <=> ! [X1,X0] : join(X0,X1) = join(X1,X0)), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_14])])). 36.38/36.70 fof(f93,plain,( 36.38/36.70 ( ! [X0,X1] : (join(X0,X1) = join(X1,X0)) ) | ~spl2_14), 36.38/36.70 inference(avatar_component_clause,[],[f92])). 36.38/36.70 fof(f94,plain,( 36.38/36.70 spl2_14), 36.38/36.70 inference(avatar_split_clause,[],[f30,f92])). 36.38/36.70 fof(f96,plain,( 36.38/36.70 join(one,sK0) = one | (~spl2_2 | ~spl2_14)), 36.38/36.70 inference(superposition,[],[f93,f62])). 36.38/36.70 fof(f97,plain,( 36.38/36.70 join(one,sK1) = one | (~spl2_4 | ~spl2_14)), 36.38/36.70 inference(superposition,[],[f93,f69])). 36.38/36.70 fof(f111,plain,( 36.38/36.70 spl2_16 <=> join(one,sK0) = one), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])). 36.38/36.70 fof(f112,plain,( 36.38/36.70 join(one,sK0) = one | ~spl2_16), 36.38/36.70 inference(avatar_component_clause,[],[f111])). 36.38/36.70 fof(f113,plain,( 36.38/36.70 spl2_16 | ~spl2_2 | ~spl2_14), 36.38/36.70 inference(avatar_split_clause,[],[f96,f92,f61,f111])). 36.38/36.70 fof(f118,plain,( 36.38/36.70 spl2_18 <=> join(one,sK1) = one), 36.38/36.70 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])). 36.38/36.70 fof(f119,plain,( 36.38/36.70 join(one,sK1) = one | ~spl2_18), 36.38/36.70 inference(avatar_component_clause,[],[f118])). 36.38/36.71 fof(f120,plain,( 36.38/36.71 spl2_18 | ~spl2_4 | ~spl2_14), 36.38/36.71 inference(avatar_split_clause,[],[f97,f92,f68,f118])). 36.38/36.71 fof(f132,plain,( 36.38/36.71 spl2_23 <=> complement(join(complement(sK0),complement(sK1))) != composition(sK0,sK1)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_23])])). 36.38/36.71 fof(f133,plain,( 36.38/36.71 complement(join(complement(sK0),complement(sK1))) != composition(sK0,sK1) | ~spl2_23), 36.38/36.71 inference(avatar_component_clause,[],[f132])). 36.38/36.71 fof(f134,plain,( 36.38/36.71 ~spl2_23), 36.38/36.71 inference(avatar_split_clause,[],[f42,f132])). 36.38/36.71 fof(f136,plain,( 36.38/36.71 spl2_24 <=> ! [X1,X0] : join(converse(X0),converse(X1)) = converse(join(X0,X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_24])])). 36.38/36.71 fof(f137,plain,( 36.38/36.71 ( ! [X0,X1] : (join(converse(X0),converse(X1)) = converse(join(X0,X1))) ) | ~spl2_24), 36.38/36.71 inference(avatar_component_clause,[],[f136])). 36.38/36.71 fof(f138,plain,( 36.38/36.71 spl2_24), 36.38/36.71 inference(avatar_split_clause,[],[f31,f136])). 36.38/36.71 fof(f140,plain,( 36.38/36.71 spl2_26 <=> ! [X1,X0] : composition(converse(X1),converse(X0)) = converse(composition(X0,X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_26])])). 36.38/36.71 fof(f141,plain,( 36.38/36.71 ( ! [X0,X1] : (composition(converse(X1),converse(X0)) = converse(composition(X0,X1))) ) | ~spl2_26), 36.38/36.71 inference(avatar_component_clause,[],[f140])). 36.38/36.71 fof(f142,plain,( 36.38/36.71 spl2_26), 36.38/36.71 inference(avatar_split_clause,[],[f33,f140])). 36.38/36.71 fof(f143,plain,( 36.38/36.71 ( ! [X0,X1] : (join(X0,converse(X1)) = converse(join(converse(X0),X1))) ) | (~spl2_8 | ~spl2_24)), 36.38/36.71 inference(superposition,[],[f137,f77])). 36.38/36.71 fof(f144,plain,( 36.38/36.71 ( ! [X0,X1] : (join(converse(X1),X0) = converse(join(X1,converse(X0)))) ) | (~spl2_8 | ~spl2_24)), 36.38/36.71 inference(superposition,[],[f137,f77])). 36.38/36.71 fof(f145,plain,( 36.38/36.71 ( ! [X2,X3] : (join(converse(X3),converse(X2)) = converse(join(X2,X3))) ) | (~spl2_14 | ~spl2_24)), 36.38/36.71 inference(superposition,[],[f137,f93])). 36.38/36.71 fof(f150,plain,( 36.38/36.71 ( ! [X0,X1] : (composition(converse(X1),X0) = converse(composition(converse(X0),X1))) ) | (~spl2_8 | ~spl2_26)), 36.38/36.71 inference(superposition,[],[f141,f77])). 36.38/36.71 fof(f152,plain,( 36.38/36.71 spl2_28 <=> ! [X1,X0] : join(X0,converse(X1)) = converse(join(converse(X0),X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_28])])). 36.38/36.71 fof(f153,plain,( 36.38/36.71 ( ! [X0,X1] : (join(X0,converse(X1)) = converse(join(converse(X0),X1))) ) | ~spl2_28), 36.38/36.71 inference(avatar_component_clause,[],[f152])). 36.38/36.71 fof(f154,plain,( 36.38/36.71 spl2_28 | ~spl2_8 | ~spl2_24), 36.38/36.71 inference(avatar_split_clause,[],[f143,f136,f76,f152])). 36.38/36.71 fof(f156,plain,( 36.38/36.71 spl2_30 <=> ! [X1,X0] : join(converse(X1),X0) = converse(join(X1,converse(X0)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_30])])). 36.38/36.71 fof(f157,plain,( 36.38/36.71 ( ! [X0,X1] : (join(converse(X1),X0) = converse(join(X1,converse(X0)))) ) | ~spl2_30), 36.38/36.71 inference(avatar_component_clause,[],[f156])). 36.38/36.71 fof(f158,plain,( 36.38/36.71 spl2_30 | ~spl2_8 | ~spl2_24), 36.38/36.71 inference(avatar_split_clause,[],[f144,f136,f76,f156])). 36.38/36.71 fof(f160,plain,( 36.38/36.71 spl2_32 <=> ! [X3,X2] : join(converse(X3),converse(X2)) = converse(join(X2,X3))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_32])])). 36.38/36.71 fof(f161,plain,( 36.38/36.71 ( ! [X2,X3] : (join(converse(X3),converse(X2)) = converse(join(X2,X3))) ) | ~spl2_32), 36.38/36.71 inference(avatar_component_clause,[],[f160])). 36.38/36.71 fof(f162,plain,( 36.38/36.71 spl2_32 | ~spl2_14 | ~spl2_24), 36.38/36.71 inference(avatar_split_clause,[],[f145,f136,f92,f160])). 36.38/36.71 fof(f168,plain,( 36.38/36.71 spl2_36 <=> ! [X1,X0] : composition(converse(X1),X0) = converse(composition(converse(X0),X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_36])])). 36.38/36.71 fof(f169,plain,( 36.38/36.71 ( ! [X0,X1] : (composition(converse(X1),X0) = converse(composition(converse(X0),X1))) ) | ~spl2_36), 36.38/36.71 inference(avatar_component_clause,[],[f168])). 36.38/36.71 fof(f170,plain,( 36.38/36.71 spl2_36 | ~spl2_8 | ~spl2_26), 36.38/36.71 inference(avatar_split_clause,[],[f150,f140,f76,f168])). 36.38/36.71 fof(f173,plain,( 36.38/36.71 ( ! [X0,X1] : (join(X0,converse(X1)) = converse(join(X1,converse(X0)))) ) | (~spl2_14 | ~spl2_28)), 36.38/36.71 inference(superposition,[],[f153,f93])). 36.38/36.71 fof(f175,plain,( 36.38/36.71 ( ! [X4] : (join(X4,converse(complement(converse(X4)))) = converse(top)) ) | (~spl2_10 | ~spl2_28)), 36.38/36.71 inference(superposition,[],[f153,f81])). 36.38/36.71 fof(f188,plain,( 36.38/36.71 spl2_38 <=> ! [X4] : join(X4,converse(complement(converse(X4)))) = converse(top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_38])])). 36.38/36.71 fof(f189,plain,( 36.38/36.71 ( ! [X4] : (join(X4,converse(complement(converse(X4)))) = converse(top)) ) | ~spl2_38), 36.38/36.71 inference(avatar_component_clause,[],[f188])). 36.38/36.71 fof(f190,plain,( 36.38/36.71 spl2_38 | ~spl2_10 | ~spl2_28), 36.38/36.71 inference(avatar_split_clause,[],[f175,f152,f80,f188])). 36.38/36.71 fof(f191,plain,( 36.38/36.71 ( ! [X0] : (join(converse(X0),converse(complement(X0))) = converse(top)) ) | (~spl2_8 | ~spl2_38)), 36.38/36.71 inference(superposition,[],[f189,f77])). 36.38/36.71 fof(f202,plain,( 36.38/36.71 spl2_40 <=> ! [X0] : join(converse(X0),converse(complement(X0))) = converse(top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_40])])). 36.38/36.71 fof(f203,plain,( 36.38/36.71 ( ! [X0] : (join(converse(X0),converse(complement(X0))) = converse(top)) ) | ~spl2_40), 36.38/36.71 inference(avatar_component_clause,[],[f202])). 36.38/36.71 fof(f204,plain,( 36.38/36.71 spl2_40 | ~spl2_8 | ~spl2_38), 36.38/36.71 inference(avatar_split_clause,[],[f191,f188,f76,f202])). 36.38/36.71 fof(f248,plain,( 36.38/36.71 ( ! [X4,X5] : (join(converse(X4),X5) = converse(join(converse(X5),X4))) ) | (~spl2_14 | ~spl2_30)), 36.38/36.71 inference(superposition,[],[f157,f93])). 36.38/36.71 fof(f274,plain,( 36.38/36.71 spl2_46 <=> ! [X1,X0,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_46])])). 36.38/36.71 fof(f275,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)) ) | ~spl2_46), 36.38/36.71 inference(avatar_component_clause,[],[f274])). 36.38/36.71 fof(f276,plain,( 36.38/36.71 spl2_46), 36.38/36.71 inference(avatar_split_clause,[],[f36,f274])). 36.38/36.71 fof(f283,plain,( 36.38/36.71 ( ! [X2,X3] : (converse(join(X2,X3)) = converse(join(X3,X2))) ) | (~spl2_24 | ~spl2_32)), 36.38/36.71 inference(superposition,[],[f161,f137])). 36.38/36.71 fof(f320,plain,( 36.38/36.71 spl2_48 <=> ! [X3,X2] : converse(join(X2,X3)) = converse(join(X3,X2))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_48])])). 36.38/36.71 fof(f321,plain,( 36.38/36.71 ( ! [X2,X3] : (converse(join(X2,X3)) = converse(join(X3,X2))) ) | ~spl2_48), 36.38/36.71 inference(avatar_component_clause,[],[f320])). 36.38/36.71 fof(f322,plain,( 36.38/36.71 spl2_48 | ~spl2_24 | ~spl2_32), 36.38/36.71 inference(avatar_split_clause,[],[f283,f160,f136,f320])). 36.38/36.71 fof(f341,plain,( 36.38/36.71 ( ! [X4,X5] : (join(X4,X5) = converse(converse(join(X5,X4)))) ) | (~spl2_8 | ~spl2_48)), 36.38/36.71 inference(superposition,[],[f77,f321])). 36.38/36.71 fof(f388,plain,( 36.38/36.71 spl2_50 <=> ! [X5,X4] : join(X4,X5) = converse(converse(join(X5,X4)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_50])])). 36.38/36.71 fof(f389,plain,( 36.38/36.71 ( ! [X4,X5] : (join(X4,X5) = converse(converse(join(X5,X4)))) ) | ~spl2_50), 36.38/36.71 inference(avatar_component_clause,[],[f388])). 36.38/36.71 fof(f390,plain,( 36.38/36.71 spl2_50 | ~spl2_8 | ~spl2_48), 36.38/36.71 inference(avatar_split_clause,[],[f341,f320,f76,f388])). 36.38/36.71 fof(f393,plain,( 36.38/36.71 ( ! [X4] : (join(complement(X4),X4) = converse(converse(top))) ) | (~spl2_10 | ~spl2_50)), 36.38/36.71 inference(superposition,[],[f389,f81])). 36.38/36.71 fof(f423,plain,( 36.38/36.71 ( ! [X4] : (join(complement(X4),X4) = top) ) | (~spl2_8 | ~spl2_10 | ~spl2_50)), 36.38/36.71 inference(forward_demodulation,[],[f393,f77])). 36.38/36.71 fof(f440,plain,( 36.38/36.71 spl2_52 <=> ! [X4] : join(complement(X4),X4) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_52])])). 36.38/36.71 fof(f441,plain,( 36.38/36.71 ( ! [X4] : (join(complement(X4),X4) = top) ) | ~spl2_52), 36.38/36.71 inference(avatar_component_clause,[],[f440])). 36.38/36.71 fof(f442,plain,( 36.38/36.71 spl2_52 | ~spl2_8 | ~spl2_10 | ~spl2_50), 36.38/36.71 inference(avatar_split_clause,[],[f423,f388,f80,f76,f440])). 36.38/36.71 fof(f553,plain,( 36.38/36.71 ( ! [X2] : (composition(converse(one),X2) = converse(converse(X2))) ) | (~spl2_6 | ~spl2_36)), 36.38/36.71 inference(superposition,[],[f169,f73])). 36.38/36.71 fof(f574,plain,( 36.38/36.71 ( ! [X2] : (composition(converse(one),X2) = X2) ) | (~spl2_6 | ~spl2_8 | ~spl2_36)), 36.38/36.71 inference(forward_demodulation,[],[f553,f77])). 36.38/36.71 fof(f582,plain,( 36.38/36.71 spl2_58 <=> ! [X2] : composition(converse(one),X2) = X2), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_58])])). 36.38/36.71 fof(f583,plain,( 36.38/36.71 ( ! [X2] : (composition(converse(one),X2) = X2) ) | ~spl2_58), 36.38/36.71 inference(avatar_component_clause,[],[f582])). 36.38/36.71 fof(f584,plain,( 36.38/36.71 spl2_58 | ~spl2_6 | ~spl2_8 | ~spl2_36), 36.38/36.71 inference(avatar_split_clause,[],[f574,f168,f76,f72,f582])). 36.38/36.71 fof(f586,plain,( 36.38/36.71 converse(one) = one | (~spl2_6 | ~spl2_58)), 36.38/36.71 inference(superposition,[],[f583,f73])). 36.38/36.71 fof(f591,plain,( 36.38/36.71 ( ! [X2] : (composition(one,X2) = X2) ) | (~spl2_6 | ~spl2_58)), 36.38/36.71 inference(backward_demodulation,[],[f586,f583])). 36.38/36.71 fof(f598,plain,( 36.38/36.71 spl2_60 <=> converse(one) = one), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_60])])). 36.38/36.71 fof(f599,plain,( 36.38/36.71 converse(one) = one | ~spl2_60), 36.38/36.71 inference(avatar_component_clause,[],[f598])). 36.38/36.71 fof(f600,plain,( 36.38/36.71 spl2_60 | ~spl2_6 | ~spl2_58), 36.38/36.71 inference(avatar_split_clause,[],[f586,f582,f72,f598])). 36.38/36.71 fof(f602,plain,( 36.38/36.71 ( ! [X0] : (join(converse(X0),one) = converse(join(X0,one))) ) | (~spl2_24 | ~spl2_60)), 36.38/36.71 inference(superposition,[],[f137,f599])). 36.38/36.71 fof(f603,plain,( 36.38/36.71 ( ! [X1] : (join(one,converse(X1)) = converse(join(one,X1))) ) | (~spl2_24 | ~spl2_60)), 36.38/36.71 inference(superposition,[],[f137,f599])). 36.38/36.71 fof(f612,plain,( 36.38/36.71 join(one,converse(complement(one))) = converse(top) | (~spl2_38 | ~spl2_60)), 36.38/36.71 inference(superposition,[],[f189,f599])). 36.38/36.71 fof(f616,plain,( 36.38/36.71 ( ! [X0] : (join(one,converse(X0)) = converse(join(X0,one))) ) | (~spl2_14 | ~spl2_24 | ~spl2_60)), 36.38/36.71 inference(forward_demodulation,[],[f602,f93])). 36.38/36.71 fof(f624,plain,( 36.38/36.71 spl2_62 <=> ! [X2] : composition(one,X2) = X2), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_62])])). 36.38/36.71 fof(f625,plain,( 36.38/36.71 ( ! [X2] : (composition(one,X2) = X2) ) | ~spl2_62), 36.38/36.71 inference(avatar_component_clause,[],[f624])). 36.38/36.71 fof(f626,plain,( 36.38/36.71 spl2_62 | ~spl2_6 | ~spl2_58), 36.38/36.71 inference(avatar_split_clause,[],[f591,f582,f72,f624])). 36.38/36.71 fof(f634,plain,( 36.38/36.71 spl2_64 <=> join(one,converse(complement(one))) = converse(top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_64])])). 36.38/36.71 fof(f635,plain,( 36.38/36.71 join(one,converse(complement(one))) = converse(top) | ~spl2_64), 36.38/36.71 inference(avatar_component_clause,[],[f634])). 36.38/36.71 fof(f636,plain,( 36.38/36.71 spl2_64 | ~spl2_38 | ~spl2_60), 36.38/36.71 inference(avatar_split_clause,[],[f612,f598,f188,f634])). 36.38/36.71 fof(f638,plain,( 36.38/36.71 spl2_66 <=> ! [X1,X0,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_66])])). 36.38/36.71 fof(f639,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2)) ) | ~spl2_66), 36.38/36.71 inference(avatar_component_clause,[],[f638])). 36.38/36.71 fof(f640,plain,( 36.38/36.71 spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f37,f638])). 36.38/36.71 fof(f665,plain,( 36.38/36.71 spl2_70 <=> ! [X1] : join(one,converse(X1)) = converse(join(one,X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_70])])). 36.38/36.71 fof(f666,plain,( 36.38/36.71 ( ! [X1] : (join(one,converse(X1)) = converse(join(one,X1))) ) | ~spl2_70), 36.38/36.71 inference(avatar_component_clause,[],[f665])). 36.38/36.71 fof(f667,plain,( 36.38/36.71 spl2_70 | ~spl2_24 | ~spl2_60), 36.38/36.71 inference(avatar_split_clause,[],[f603,f598,f136,f665])). 36.38/36.71 fof(f669,plain,( 36.38/36.71 spl2_72 <=> ! [X0] : join(one,converse(X0)) = converse(join(X0,one))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_72])])). 36.38/36.71 fof(f670,plain,( 36.38/36.71 ( ! [X0] : (join(one,converse(X0)) = converse(join(X0,one))) ) | ~spl2_72), 36.38/36.71 inference(avatar_component_clause,[],[f669])). 36.38/36.71 fof(f671,plain,( 36.38/36.71 spl2_72 | ~spl2_14 | ~spl2_24 | ~spl2_60), 36.38/36.71 inference(avatar_split_clause,[],[f616,f598,f136,f92,f669])). 36.38/36.71 fof(f677,plain,( 36.38/36.71 join(one,converse(sK0)) = converse(one) | (~spl2_16 | ~spl2_70)), 36.38/36.71 inference(superposition,[],[f666,f112])). 36.38/36.71 fof(f678,plain,( 36.38/36.71 join(one,converse(sK1)) = converse(one) | (~spl2_18 | ~spl2_70)), 36.38/36.71 inference(superposition,[],[f666,f119])). 36.38/36.71 fof(f686,plain,( 36.38/36.71 ( ! [X4] : (join(one,X4) = converse(join(one,converse(X4)))) ) | (~spl2_8 | ~spl2_70)), 36.38/36.71 inference(superposition,[],[f77,f666])). 36.38/36.71 fof(f706,plain,( 36.38/36.71 join(one,converse(sK0)) = one | (~spl2_16 | ~spl2_60 | ~spl2_70)), 36.38/36.71 inference(forward_demodulation,[],[f677,f599])). 36.38/36.71 fof(f707,plain,( 36.38/36.71 join(one,converse(sK1)) = one | (~spl2_18 | ~spl2_60 | ~spl2_70)), 36.38/36.71 inference(forward_demodulation,[],[f678,f599])). 36.38/36.71 fof(f723,plain,( 36.38/36.71 spl2_74 <=> join(one,converse(sK0)) = one), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_74])])). 36.38/36.71 fof(f724,plain,( 36.38/36.71 join(one,converse(sK0)) = one | ~spl2_74), 36.38/36.71 inference(avatar_component_clause,[],[f723])). 36.38/36.71 fof(f725,plain,( 36.38/36.71 spl2_74 | ~spl2_16 | ~spl2_60 | ~spl2_70), 36.38/36.71 inference(avatar_split_clause,[],[f706,f665,f598,f111,f723])). 36.38/36.71 fof(f730,plain,( 36.38/36.71 spl2_76 <=> join(one,converse(sK1)) = one), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_76])])). 36.38/36.71 fof(f731,plain,( 36.38/36.71 join(one,converse(sK1)) = one | ~spl2_76), 36.38/36.71 inference(avatar_component_clause,[],[f730])). 36.38/36.71 fof(f732,plain,( 36.38/36.71 spl2_76 | ~spl2_18 | ~spl2_60 | ~spl2_70), 36.38/36.71 inference(avatar_split_clause,[],[f707,f665,f598,f118,f730])). 36.38/36.71 fof(f841,plain,( 36.38/36.71 spl2_84 <=> ! [X4] : join(one,X4) = converse(join(one,converse(X4)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_84])])). 36.38/36.71 fof(f842,plain,( 36.38/36.71 ( ! [X4] : (join(one,X4) = converse(join(one,converse(X4)))) ) | ~spl2_84), 36.38/36.71 inference(avatar_component_clause,[],[f841])). 36.38/36.71 fof(f843,plain,( 36.38/36.71 spl2_84 | ~spl2_8 | ~spl2_70), 36.38/36.71 inference(avatar_split_clause,[],[f686,f665,f76,f841])). 36.38/36.71 fof(f1031,plain,( 36.38/36.71 spl2_88 <=> ! [X1,X0] : join(X0,converse(X1)) = converse(join(X1,converse(X0)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_88])])). 36.38/36.71 fof(f1032,plain,( 36.38/36.71 ( ! [X0,X1] : (join(X0,converse(X1)) = converse(join(X1,converse(X0)))) ) | ~spl2_88), 36.38/36.71 inference(avatar_component_clause,[],[f1031])). 36.38/36.71 fof(f1033,plain,( 36.38/36.71 spl2_88 | ~spl2_14 | ~spl2_28), 36.38/36.71 inference(avatar_split_clause,[],[f173,f152,f92,f1031])). 36.38/36.71 fof(f1035,plain,( 36.38/36.71 spl2_90 <=> ! [X5,X4] : join(converse(X4),X5) = converse(join(converse(X5),X4))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_90])])). 36.38/36.71 fof(f1036,plain,( 36.38/36.71 ( ! [X4,X5] : (join(converse(X4),X5) = converse(join(converse(X5),X4))) ) | ~spl2_90), 36.38/36.71 inference(avatar_component_clause,[],[f1035])). 36.38/36.71 fof(f1037,plain,( 36.38/36.71 spl2_90 | ~spl2_14 | ~spl2_30), 36.38/36.71 inference(avatar_split_clause,[],[f248,f156,f92,f1035])). 36.38/36.71 fof(f1274,plain,( 36.38/36.71 ( ! [X6,X4,X5] : (join(X4,join(X5,X6)) = join(join(X5,X4),X6)) ) | (~spl2_14 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f93])). 36.38/36.71 fof(f1277,plain,( 36.38/36.71 ( ! [X14,X15] : (join(top,X15) = join(X14,join(complement(X14),X15))) ) | (~spl2_10 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f81])). 36.38/36.71 fof(f1278,plain,( 36.38/36.71 ( ! [X16] : (join(top,X16) = join(top,join(zero,X16))) ) | (~spl2_12 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f89])). 36.38/36.71 fof(f1288,plain,( 36.38/36.71 ( ! [X33] : (join(one,X33) = join(one,join(converse(sK0),X33))) ) | (~spl2_66 | ~spl2_74)), 36.38/36.71 inference(superposition,[],[f639,f724])). 36.38/36.71 fof(f1289,plain,( 36.38/36.71 ( ! [X34] : (join(one,X34) = join(one,join(converse(sK1),X34))) ) | (~spl2_66 | ~spl2_76)), 36.38/36.71 inference(superposition,[],[f639,f731])). 36.38/36.71 fof(f1290,plain,( 36.38/36.71 ( ! [X35] : (join(one,X35) = join(sK0,join(one,X35))) ) | (~spl2_2 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f62])). 36.38/36.71 fof(f1291,plain,( 36.38/36.71 ( ! [X36] : (join(one,X36) = join(sK1,join(one,X36))) ) | (~spl2_4 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f69])). 36.38/36.71 fof(f1295,plain,( 36.38/36.71 ( ! [X40] : (join(one,X40) = join(one,join(sK0,X40))) ) | (~spl2_16 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f112])). 36.38/36.71 fof(f1296,plain,( 36.38/36.71 ( ! [X41] : (join(one,X41) = join(one,join(sK1,X41))) ) | (~spl2_18 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f119])). 36.38/36.71 fof(f1297,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(X0,join(X1,X2)) = join(X2,join(X0,X1))) ) | (~spl2_14 | ~spl2_66)), 36.38/36.71 inference(superposition,[],[f639,f93])). 36.38/36.71 fof(f1314,plain,( 36.38/36.71 spl2_92 <=> ! [X35] : join(one,X35) = join(sK0,join(one,X35))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_92])])). 36.38/36.71 fof(f1315,plain,( 36.38/36.71 ( ! [X35] : (join(one,X35) = join(sK0,join(one,X35))) ) | ~spl2_92), 36.38/36.71 inference(avatar_component_clause,[],[f1314])). 36.38/36.71 fof(f1316,plain,( 36.38/36.71 spl2_92 | ~spl2_2 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1290,f638,f61,f1314])). 36.38/36.71 fof(f1318,plain,( 36.38/36.71 spl2_94 <=> ! [X36] : join(one,X36) = join(sK1,join(one,X36))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_94])])). 36.38/36.71 fof(f1319,plain,( 36.38/36.71 ( ! [X36] : (join(one,X36) = join(sK1,join(one,X36))) ) | ~spl2_94), 36.38/36.71 inference(avatar_component_clause,[],[f1318])). 36.38/36.71 fof(f1320,plain,( 36.38/36.71 spl2_94 | ~spl2_4 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1291,f638,f68,f1318])). 36.38/36.71 fof(f1323,plain,( 36.38/36.71 join(sK0,top) = top | (~spl2_10 | ~spl2_92)), 36.38/36.71 inference(superposition,[],[f1315,f81])). 36.38/36.71 fof(f1324,plain,( 36.38/36.71 join(sK0,converse(top)) = converse(top) | (~spl2_64 | ~spl2_92)), 36.38/36.71 inference(superposition,[],[f1315,f635])). 36.38/36.71 fof(f1338,plain,( 36.38/36.71 spl2_96 <=> join(sK0,top) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_96])])). 36.38/36.71 fof(f1339,plain,( 36.38/36.71 join(sK0,top) = top | ~spl2_96), 36.38/36.71 inference(avatar_component_clause,[],[f1338])). 36.38/36.71 fof(f1340,plain,( 36.38/36.71 spl2_96 | ~spl2_10 | ~spl2_92), 36.38/36.71 inference(avatar_split_clause,[],[f1323,f1314,f80,f1338])). 36.38/36.71 fof(f1341,plain,( 36.38/36.71 join(top,sK0) = top | (~spl2_14 | ~spl2_96)), 36.38/36.71 inference(superposition,[],[f1339,f93])). 36.38/36.71 fof(f1343,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(sK0,join(top,X0))) ) | (~spl2_66 | ~spl2_96)), 36.38/36.71 inference(superposition,[],[f639,f1339])). 36.38/36.71 fof(f1354,plain,( 36.38/36.71 spl2_98 <=> join(top,sK0) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_98])])). 36.38/36.71 fof(f1355,plain,( 36.38/36.71 join(top,sK0) = top | ~spl2_98), 36.38/36.71 inference(avatar_component_clause,[],[f1354])). 36.38/36.71 fof(f1356,plain,( 36.38/36.71 spl2_98 | ~spl2_14 | ~spl2_96), 36.38/36.71 inference(avatar_split_clause,[],[f1341,f1338,f92,f1354])). 36.38/36.71 fof(f1357,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(top,join(sK0,X0))) ) | (~spl2_66 | ~spl2_98)), 36.38/36.71 inference(superposition,[],[f639,f1355])). 36.38/36.71 fof(f1364,plain,( 36.38/36.71 spl2_100 <=> join(sK0,converse(top)) = converse(top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_100])])). 36.38/36.71 fof(f1365,plain,( 36.38/36.71 join(sK0,converse(top)) = converse(top) | ~spl2_100), 36.38/36.71 inference(avatar_component_clause,[],[f1364])). 36.38/36.71 fof(f1366,plain,( 36.38/36.71 spl2_100 | ~spl2_64 | ~spl2_92), 36.38/36.71 inference(avatar_split_clause,[],[f1324,f1314,f634,f1364])). 36.38/36.71 fof(f1367,plain,( 36.38/36.71 join(top,converse(sK0)) = converse(converse(top)) | (~spl2_88 | ~spl2_100)), 36.38/36.71 inference(superposition,[],[f1032,f1365])). 36.38/36.71 fof(f1371,plain,( 36.38/36.71 join(top,converse(sK0)) = top | (~spl2_8 | ~spl2_88 | ~spl2_100)), 36.38/36.71 inference(forward_demodulation,[],[f1367,f77])). 36.38/36.71 fof(f1378,plain,( 36.38/36.71 spl2_102 <=> join(top,converse(sK0)) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_102])])). 36.38/36.71 fof(f1379,plain,( 36.38/36.71 join(top,converse(sK0)) = top | ~spl2_102), 36.38/36.71 inference(avatar_component_clause,[],[f1378])). 36.38/36.71 fof(f1380,plain,( 36.38/36.71 spl2_102 | ~spl2_8 | ~spl2_88 | ~spl2_100), 36.38/36.71 inference(avatar_split_clause,[],[f1371,f1364,f1031,f76,f1378])). 36.38/36.71 fof(f1390,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(top,join(converse(sK0),X0))) ) | (~spl2_66 | ~spl2_102)), 36.38/36.71 inference(superposition,[],[f639,f1379])). 36.38/36.71 fof(f1412,plain,( 36.38/36.71 spl2_108 <=> ! [X1,X0] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_108])])). 36.38/36.71 fof(f1413,plain,( 36.38/36.71 ( ! [X0,X1] : (complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))) ) | ~spl2_108), 36.38/36.71 inference(avatar_component_clause,[],[f1412])). 36.38/36.71 fof(f1414,plain,( 36.38/36.71 spl2_108), 36.38/36.71 inference(avatar_split_clause,[],[f34,f1412])). 36.38/36.71 fof(f1430,plain,( 36.38/36.71 join(sK1,top) = top | (~spl2_10 | ~spl2_94)), 36.38/36.71 inference(superposition,[],[f1319,f81])). 36.38/36.71 fof(f1445,plain,( 36.38/36.71 spl2_110 <=> join(sK1,top) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_110])])). 36.38/36.71 fof(f1446,plain,( 36.38/36.71 join(sK1,top) = top | ~spl2_110), 36.38/36.71 inference(avatar_component_clause,[],[f1445])). 36.38/36.71 fof(f1447,plain,( 36.38/36.71 spl2_110 | ~spl2_10 | ~spl2_94), 36.38/36.71 inference(avatar_split_clause,[],[f1430,f1318,f80,f1445])). 36.38/36.71 fof(f1532,plain,( 36.38/36.71 spl2_122 <=> ! [X40] : join(one,X40) = join(one,join(sK0,X40))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_122])])). 36.38/36.71 fof(f1533,plain,( 36.38/36.71 ( ! [X40] : (join(one,X40) = join(one,join(sK0,X40))) ) | ~spl2_122), 36.38/36.71 inference(avatar_component_clause,[],[f1532])). 36.38/36.71 fof(f1534,plain,( 36.38/36.71 spl2_122 | ~spl2_16 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1295,f638,f111,f1532])). 36.38/36.71 fof(f1536,plain,( 36.38/36.71 spl2_124 <=> ! [X41] : join(one,X41) = join(one,join(sK1,X41))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_124])])). 36.38/36.71 fof(f1537,plain,( 36.38/36.71 ( ! [X41] : (join(one,X41) = join(one,join(sK1,X41))) ) | ~spl2_124), 36.38/36.71 inference(avatar_component_clause,[],[f1536])). 36.38/36.71 fof(f1538,plain,( 36.38/36.71 spl2_124 | ~spl2_18 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1296,f638,f118,f1536])). 36.38/36.71 fof(f1549,plain,( 36.38/36.71 join(one,top) = join(one,complement(sK0)) | (~spl2_10 | ~spl2_122)), 36.38/36.71 inference(superposition,[],[f1533,f81])). 36.38/36.71 fof(f1556,plain,( 36.38/36.71 join(top,one) = join(one,complement(sK0)) | (~spl2_10 | ~spl2_14 | ~spl2_122)), 36.38/36.71 inference(forward_demodulation,[],[f1549,f93])). 36.38/36.71 fof(f1565,plain,( 36.38/36.71 spl2_130 <=> join(top,one) = join(one,complement(sK0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_130])])). 36.38/36.71 fof(f1566,plain,( 36.38/36.71 join(top,one) = join(one,complement(sK0)) | ~spl2_130), 36.38/36.71 inference(avatar_component_clause,[],[f1565])). 36.38/36.71 fof(f1567,plain,( 36.38/36.71 spl2_130 | ~spl2_10 | ~spl2_14 | ~spl2_122), 36.38/36.71 inference(avatar_split_clause,[],[f1556,f1532,f92,f80,f1565])). 36.38/36.71 fof(f1569,plain,( 36.38/36.71 spl2_132 <=> ! [X1,X0,X2] : join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_132])])). 36.38/36.71 fof(f1570,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2)) ) | ~spl2_132), 36.38/36.71 inference(avatar_component_clause,[],[f1569])). 36.38/36.71 fof(f1571,plain,( 36.38/36.71 spl2_132), 36.38/36.71 inference(avatar_split_clause,[],[f38,f1569])). 36.38/36.71 fof(f1576,plain,( 36.38/36.71 join(complement(sK0),one) = converse(converse(join(top,one))) | (~spl2_50 | ~spl2_130)), 36.38/36.71 inference(superposition,[],[f389,f1566])). 36.38/36.71 fof(f1579,plain,( 36.38/36.71 join(top,one) = join(complement(sK0),one) | (~spl2_8 | ~spl2_50 | ~spl2_130)), 36.38/36.71 inference(forward_demodulation,[],[f1576,f77])). 36.38/36.71 fof(f1584,plain,( 36.38/36.71 spl2_134 <=> join(top,one) = join(complement(sK0),one)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_134])])). 36.38/36.71 fof(f1585,plain,( 36.38/36.71 join(top,one) = join(complement(sK0),one) | ~spl2_134), 36.38/36.71 inference(avatar_component_clause,[],[f1584])). 36.38/36.71 fof(f1586,plain,( 36.38/36.71 spl2_134 | ~spl2_8 | ~spl2_50 | ~spl2_130), 36.38/36.71 inference(avatar_split_clause,[],[f1579,f1565,f388,f76,f1584])). 36.38/36.71 fof(f1601,plain,( 36.38/36.71 join(one,top) = join(one,complement(sK1)) | (~spl2_10 | ~spl2_124)), 36.38/36.71 inference(superposition,[],[f1537,f81])). 36.38/36.71 fof(f1608,plain,( 36.38/36.71 join(top,one) = join(one,complement(sK1)) | (~spl2_10 | ~spl2_14 | ~spl2_124)), 36.38/36.71 inference(forward_demodulation,[],[f1601,f93])). 36.38/36.71 fof(f1617,plain,( 36.38/36.71 spl2_136 <=> join(top,one) = join(one,complement(sK1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_136])])). 36.38/36.71 fof(f1618,plain,( 36.38/36.71 join(top,one) = join(one,complement(sK1)) | ~spl2_136), 36.38/36.71 inference(avatar_component_clause,[],[f1617])). 36.38/36.71 fof(f1619,plain,( 36.38/36.71 spl2_136 | ~spl2_10 | ~spl2_14 | ~spl2_124), 36.38/36.71 inference(avatar_split_clause,[],[f1608,f1536,f92,f80,f1617])). 36.38/36.71 fof(f1624,plain,( 36.38/36.71 join(complement(sK1),one) = converse(converse(join(top,one))) | (~spl2_50 | ~spl2_136)), 36.38/36.71 inference(superposition,[],[f389,f1618])). 36.38/36.71 fof(f1627,plain,( 36.38/36.71 join(top,one) = join(complement(sK1),one) | (~spl2_8 | ~spl2_50 | ~spl2_136)), 36.38/36.71 inference(forward_demodulation,[],[f1624,f77])). 36.38/36.71 fof(f1632,plain,( 36.38/36.71 spl2_138 <=> join(top,one) = join(complement(sK1),one)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_138])])). 36.38/36.71 fof(f1633,plain,( 36.38/36.71 join(top,one) = join(complement(sK1),one) | ~spl2_138), 36.38/36.71 inference(avatar_component_clause,[],[f1632])). 36.38/36.71 fof(f1634,plain,( 36.38/36.71 spl2_138 | ~spl2_8 | ~spl2_50 | ~spl2_136), 36.38/36.71 inference(avatar_split_clause,[],[f1627,f1617,f388,f76,f1632])). 36.38/36.71 fof(f1680,plain,( 36.38/36.71 spl2_140 <=> ! [X0] : join(top,X0) = join(sK0,join(top,X0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_140])])). 36.38/36.71 fof(f1681,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(sK0,join(top,X0))) ) | ~spl2_140), 36.38/36.71 inference(avatar_component_clause,[],[f1680])). 36.38/36.71 fof(f1682,plain,( 36.38/36.71 spl2_140 | ~spl2_66 | ~spl2_96), 36.38/36.71 inference(avatar_split_clause,[],[f1343,f1338,f638,f1680])). 36.38/36.71 fof(f1695,plain,( 36.38/36.71 ( ! [X0] : (join(X0,top) = join(sK0,join(X0,top))) ) | (~spl2_14 | ~spl2_140)), 36.38/36.71 inference(superposition,[],[f1681,f93])). 36.38/36.71 fof(f1764,plain,( 36.38/36.71 spl2_150 <=> ! [X0] : join(top,X0) = join(top,join(sK0,X0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_150])])). 36.38/36.71 fof(f1765,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(top,join(sK0,X0))) ) | ~spl2_150), 36.38/36.71 inference(avatar_component_clause,[],[f1764])). 36.38/36.71 fof(f1766,plain,( 36.38/36.71 spl2_150 | ~spl2_66 | ~spl2_98), 36.38/36.71 inference(avatar_split_clause,[],[f1357,f1354,f638,f1764])). 36.38/36.71 fof(f1782,plain,( 36.38/36.71 ( ! [X38] : (complement(X38) = join(composition(one,complement(composition(one,X38))),complement(X38))) ) | (~spl2_60 | ~spl2_108)), 36.38/36.71 inference(superposition,[],[f1413,f599])). 36.38/36.71 fof(f1783,plain,( 36.38/36.71 ( ! [X0] : (complement(one) = join(composition(converse(X0),complement(X0)),complement(one))) ) | (~spl2_6 | ~spl2_108)), 36.38/36.71 inference(superposition,[],[f1413,f73])). 36.38/36.71 fof(f1787,plain,( 36.38/36.71 ( ! [X0] : (join(composition(converse(X0),complement(composition(X0,top))),zero) = zero) ) | (~spl2_0 | ~spl2_108)), 36.38/36.71 inference(superposition,[],[f1413,f55])). 36.38/36.71 fof(f1788,plain,( 36.38/36.71 ( ! [X2,X3] : (complement(X3) = join(complement(X3),composition(converse(X2),complement(composition(X2,X3))))) ) | (~spl2_14 | ~spl2_108)), 36.38/36.71 inference(superposition,[],[f1413,f93])). 36.38/36.71 fof(f1790,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(X1),X2) = join(composition(converse(X0),complement(composition(X0,X1))),join(complement(X1),X2))) ) | (~spl2_66 | ~spl2_108)), 36.38/36.71 inference(superposition,[],[f639,f1413])). 36.38/36.71 fof(f1800,plain,( 36.38/36.71 ( ! [X38] : (complement(X38) = join(complement(composition(one,X38)),complement(X38))) ) | (~spl2_60 | ~spl2_62 | ~spl2_108)), 36.38/36.71 inference(forward_demodulation,[],[f1782,f625])). 36.38/36.71 fof(f1801,plain,( 36.38/36.71 ( ! [X38] : (complement(X38) = join(complement(X38),complement(X38))) ) | (~spl2_60 | ~spl2_62 | ~spl2_108)), 36.38/36.71 inference(forward_demodulation,[],[f1800,f625])). 36.38/36.71 fof(f1831,plain,( 36.38/36.71 spl2_164 <=> ! [X0] : join(X0,top) = join(sK0,join(X0,top))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_164])])). 36.38/36.71 fof(f1832,plain,( 36.38/36.71 ( ! [X0] : (join(X0,top) = join(sK0,join(X0,top))) ) | ~spl2_164), 36.38/36.71 inference(avatar_component_clause,[],[f1831])). 36.38/36.71 fof(f1833,plain,( 36.38/36.71 spl2_164 | ~spl2_14 | ~spl2_140), 36.38/36.71 inference(avatar_split_clause,[],[f1695,f1680,f92,f1831])). 36.38/36.71 fof(f1883,plain,( 36.38/36.71 join(top,top) = join(top,complement(sK0)) | (~spl2_10 | ~spl2_150)), 36.38/36.71 inference(superposition,[],[f1765,f81])). 36.38/36.71 fof(f1888,plain,( 36.38/36.71 ( ! [X4] : (join(join(sK0,X4),top) = converse(converse(join(top,X4)))) ) | (~spl2_50 | ~spl2_150)), 36.38/36.71 inference(superposition,[],[f389,f1765])). 36.38/36.71 fof(f1891,plain,( 36.38/36.71 ( ! [X4] : (join(top,X4) = join(join(sK0,X4),top)) ) | (~spl2_8 | ~spl2_50 | ~spl2_150)), 36.38/36.71 inference(forward_demodulation,[],[f1888,f77])). 36.38/36.71 fof(f1896,plain,( 36.38/36.71 spl2_176 <=> join(top,top) = join(top,complement(sK0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_176])])). 36.38/36.71 fof(f1897,plain,( 36.38/36.71 join(top,top) = join(top,complement(sK0)) | ~spl2_176), 36.38/36.71 inference(avatar_component_clause,[],[f1896])). 36.38/36.71 fof(f1898,plain,( 36.38/36.71 spl2_176 | ~spl2_10 | ~spl2_150), 36.38/36.71 inference(avatar_split_clause,[],[f1883,f1764,f80,f1896])). 36.38/36.71 fof(f1901,plain,( 36.38/36.71 ( ! [X0] : (join(join(top,top),X0) = join(top,join(complement(sK0),X0))) ) | (~spl2_66 | ~spl2_176)), 36.38/36.71 inference(superposition,[],[f639,f1897])). 36.38/36.71 fof(f1903,plain,( 36.38/36.71 ( ! [X0] : (join(top,join(top,X0)) = join(top,join(complement(sK0),X0))) ) | (~spl2_66 | ~spl2_176)), 36.38/36.71 inference(forward_demodulation,[],[f1901,f639])). 36.38/36.71 fof(f1963,plain,( 36.38/36.71 ( ! [X10,X9] : (join(X9,composition(X10,X9)) = composition(join(one,X10),X9)) ) | (~spl2_62 | ~spl2_132)), 36.38/36.71 inference(superposition,[],[f1570,f625])). 36.38/36.71 fof(f1967,plain,( 36.38/36.71 ( ! [X10,X9] : (join(composition(X10,X9),X9) = composition(join(X10,one),X9)) ) | (~spl2_62 | ~spl2_132)), 36.38/36.71 inference(superposition,[],[f1570,f625])). 36.38/36.71 fof(f1968,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(composition(X5,X4),composition(X3,X4)) = composition(join(X3,X5),X4)) ) | (~spl2_14 | ~spl2_132)), 36.38/36.71 inference(superposition,[],[f1570,f93])). 36.38/36.71 fof(f2274,plain,( 36.38/36.71 spl2_186 <=> ! [X4] : join(top,X4) = join(join(sK0,X4),top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_186])])). 36.38/36.71 fof(f2275,plain,( 36.38/36.71 ( ! [X4] : (join(top,X4) = join(join(sK0,X4),top)) ) | ~spl2_186), 36.38/36.71 inference(avatar_component_clause,[],[f2274])). 36.38/36.71 fof(f2276,plain,( 36.38/36.71 spl2_186 | ~spl2_8 | ~spl2_50 | ~spl2_150), 36.38/36.71 inference(avatar_split_clause,[],[f1891,f1764,f388,f76,f2274])). 36.38/36.71 fof(f2294,plain,( 36.38/36.71 spl2_196 <=> ! [X1,X0] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_196])])). 36.38/36.71 fof(f2295,plain,( 36.38/36.71 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0) ) | ~spl2_196), 36.38/36.71 inference(avatar_component_clause,[],[f2294])). 36.38/36.71 fof(f2296,plain,( 36.38/36.71 spl2_196), 36.38/36.71 inference(avatar_split_clause,[],[f35,f2294])). 36.38/36.71 fof(f2335,plain,( 36.38/36.71 ( ! [X3] : (join(top,X3) = join(sK0,join(X3,top))) ) | (~spl2_66 | ~spl2_186)), 36.38/36.71 inference(superposition,[],[f2275,f639])). 36.38/36.71 fof(f2530,plain,( 36.38/36.71 spl2_204 <=> ! [X3] : join(top,X3) = join(sK0,join(X3,top))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_204])])). 36.38/36.71 fof(f2531,plain,( 36.38/36.71 ( ! [X3] : (join(top,X3) = join(sK0,join(X3,top))) ) | ~spl2_204), 36.38/36.71 inference(avatar_component_clause,[],[f2530])). 36.38/36.71 fof(f2532,plain,( 36.38/36.71 spl2_204 | ~spl2_66 | ~spl2_186), 36.38/36.71 inference(avatar_split_clause,[],[f2335,f2274,f638,f2530])). 36.38/36.71 fof(f2699,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0) ) | (~spl2_0 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f55])). 36.38/36.71 fof(f2701,plain,( 36.38/36.71 ( ! [X2] : (join(complement(top),complement(join(complement(X2),complement(X2)))) = X2) ) | (~spl2_10 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f81])). 36.38/36.71 fof(f2703,plain,( 36.38/36.71 ( ! [X4,X5] : (join(complement(join(complement(X5),complement(X4))),complement(join(complement(X4),X5))) = X4) ) | (~spl2_14 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f93])). 36.38/36.71 fof(f2706,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(complement(X0),complement(X0))),complement(top)) = X0) ) | (~spl2_52 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f441])). 36.38/36.71 fof(f2707,plain,( 36.38/36.71 ( ! [X2,X1] : (join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1) ) | (~spl2_14 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f93])). 36.38/36.71 fof(f2709,plain,( 36.38/36.71 ( ! [X6,X5] : (join(complement(X5),complement(X6)) = join(complement(join(complement(join(complement(X5),complement(X6))),complement(complement(join(complement(X5),X6))))),complement(X5))) ) | ~spl2_196), 36.38/36.71 inference(superposition,[],[f2295,f2295])). 36.38/36.71 fof(f2710,plain,( 36.38/36.71 ( ! [X7] : (join(complement(join(complement(X7),complement(complement(complement(X7))))),complement(top)) = X7) ) | (~spl2_10 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f81])). 36.38/36.71 fof(f2714,plain,( 36.38/36.71 join(complement(join(complement(sK0),complement(one))),complement(join(top,one))) = sK0 | (~spl2_134 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f1585])). 36.38/36.71 fof(f2715,plain,( 36.38/36.71 join(complement(join(complement(sK1),complement(one))),complement(join(top,one))) = sK1 | (~spl2_138 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f1633])). 36.38/36.71 fof(f2716,plain,( 36.38/36.71 ( ! [X2,X3] : (join(complement(join(complement(X2),X3)),complement(join(complement(X2),complement(X3)))) = X2) ) | (~spl2_14 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f2295,f93])). 36.38/36.71 fof(f2718,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2))) ) | (~spl2_66 | ~spl2_196)), 36.38/36.71 inference(superposition,[],[f639,f2295])). 36.38/36.71 fof(f2724,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(complement(X0),zero)),complement(join(top,complement(X0)))) = X0) ) | (~spl2_0 | ~spl2_14 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2699,f93])). 36.38/36.71 fof(f2725,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0) ) | (~spl2_0 | ~spl2_14 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2724,f93])). 36.38/36.71 fof(f2728,plain,( 36.38/36.71 ( ! [X2] : (join(complement(top),complement(complement(X2))) = X2) ) | (~spl2_10 | ~spl2_60 | ~spl2_62 | ~spl2_108 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2701,f1801])). 36.38/36.71 fof(f2729,plain,( 36.38/36.71 ( ! [X2] : (join(zero,complement(complement(X2))) = X2) ) | (~spl2_0 | ~spl2_10 | ~spl2_60 | ~spl2_62 | ~spl2_108 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2728,f55])). 36.38/36.71 fof(f2732,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(complement(X0),complement(X0))),zero) = X0) ) | (~spl2_0 | ~spl2_52 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2706,f55])). 36.38/36.71 fof(f2733,plain,( 36.38/36.71 ( ! [X0] : (join(complement(complement(X0)),zero) = X0) ) | (~spl2_0 | ~spl2_52 | ~spl2_60 | ~spl2_62 | ~spl2_108 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2732,f1801])). 36.38/36.71 fof(f2734,plain,( 36.38/36.71 ( ! [X6,X5] : (join(complement(X5),complement(X6)) = join(complement(join(complement(complement(join(complement(X5),X6))),complement(join(complement(X5),complement(X6))))),complement(X5))) ) | (~spl2_14 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2709,f93])). 36.38/36.71 fof(f2735,plain,( 36.38/36.71 ( ! [X7] : (join(complement(join(complement(X7),complement(complement(complement(X7))))),zero) = X7) ) | (~spl2_0 | ~spl2_10 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2710,f55])). 36.38/36.71 fof(f2740,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK0))),complement(join(top,one))) = sK0 | (~spl2_14 | ~spl2_134 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2714,f93])). 36.38/36.71 fof(f2741,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK1))),complement(join(top,one))) = sK1 | (~spl2_14 | ~spl2_138 | ~spl2_196)), 36.38/36.71 inference(forward_demodulation,[],[f2715,f93])). 36.38/36.71 fof(f2744,plain,( 36.38/36.71 spl2_214 <=> ! [X2] : join(zero,complement(complement(X2))) = X2), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_214])])). 36.38/36.71 fof(f2745,plain,( 36.38/36.71 ( ! [X2] : (join(zero,complement(complement(X2))) = X2) ) | ~spl2_214), 36.38/36.71 inference(avatar_component_clause,[],[f2744])). 36.38/36.71 fof(f2746,plain,( 36.38/36.71 spl2_214 | ~spl2_0 | ~spl2_10 | ~spl2_60 | ~spl2_62 | ~spl2_108 | ~spl2_196), 36.38/36.71 inference(avatar_split_clause,[],[f2729,f2294,f1412,f624,f598,f80,f54,f2744])). 36.38/36.71 fof(f2752,plain,( 36.38/36.71 spl2_216 <=> ! [X0] : join(complement(complement(X0)),zero) = X0), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_216])])). 36.38/36.71 fof(f2753,plain,( 36.38/36.71 ( ! [X0] : (join(complement(complement(X0)),zero) = X0) ) | ~spl2_216), 36.38/36.71 inference(avatar_component_clause,[],[f2752])). 36.38/36.71 fof(f2754,plain,( 36.38/36.71 spl2_216 | ~spl2_0 | ~spl2_52 | ~spl2_60 | ~spl2_62 | ~spl2_108 | ~spl2_196), 36.38/36.71 inference(avatar_split_clause,[],[f2733,f2294,f1412,f624,f598,f440,f54,f2752])). 36.38/36.71 fof(f2978,plain,( 36.38/36.71 spl2_222 <=> ! [X38] : complement(X38) = join(complement(X38),complement(X38))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_222])])). 36.38/36.71 fof(f2979,plain,( 36.38/36.71 ( ! [X38] : (complement(X38) = join(complement(X38),complement(X38))) ) | ~spl2_222), 36.38/36.71 inference(avatar_component_clause,[],[f2978])). 36.38/36.71 fof(f2980,plain,( 36.38/36.71 spl2_222 | ~spl2_60 | ~spl2_62 | ~spl2_108), 36.38/36.71 inference(avatar_split_clause,[],[f1801,f1412,f624,f598,f2978])). 36.38/36.71 fof(f3068,plain,( 36.38/36.71 spl2_230 <=> ! [X33] : join(one,X33) = join(one,join(converse(sK0),X33))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_230])])). 36.38/36.71 fof(f3069,plain,( 36.38/36.71 ( ! [X33] : (join(one,X33) = join(one,join(converse(sK0),X33))) ) | ~spl2_230), 36.38/36.71 inference(avatar_component_clause,[],[f3068])). 36.38/36.71 fof(f3070,plain,( 36.38/36.71 spl2_230 | ~spl2_66 | ~spl2_74), 36.38/36.71 inference(avatar_split_clause,[],[f1288,f723,f638,f3068])). 36.38/36.71 fof(f3072,plain,( 36.38/36.71 spl2_232 <=> ! [X34] : join(one,X34) = join(one,join(converse(sK1),X34))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_232])])). 36.38/36.71 fof(f3073,plain,( 36.38/36.71 ( ! [X34] : (join(one,X34) = join(one,join(converse(sK1),X34))) ) | ~spl2_232), 36.38/36.71 inference(avatar_component_clause,[],[f3072])). 36.38/36.71 fof(f3074,plain,( 36.38/36.71 spl2_232 | ~spl2_66 | ~spl2_76), 36.38/36.71 inference(avatar_split_clause,[],[f1289,f730,f638,f3072])). 36.38/36.71 fof(f3076,plain,( 36.38/36.71 spl2_234 <=> ! [X1,X0,X2] : complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_234])])). 36.38/36.71 fof(f3077,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))))) ) | ~spl2_234), 36.38/36.71 inference(avatar_component_clause,[],[f3076])). 36.38/36.71 fof(f3078,plain,( 36.38/36.71 spl2_234), 36.38/36.71 inference(avatar_split_clause,[],[f48,f3076])). 36.38/36.71 fof(f3095,plain,( 36.38/36.71 join(one,top) = join(one,complement(converse(sK0))) | (~spl2_10 | ~spl2_230)), 36.38/36.71 inference(superposition,[],[f3069,f81])). 36.38/36.71 fof(f3111,plain,( 36.38/36.71 join(top,one) = join(one,complement(converse(sK0))) | (~spl2_10 | ~spl2_14 | ~spl2_230)), 36.38/36.71 inference(forward_demodulation,[],[f3095,f93])). 36.38/36.71 fof(f3126,plain,( 36.38/36.71 spl2_240 <=> join(top,one) = join(one,complement(converse(sK0)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_240])])). 36.38/36.71 fof(f3127,plain,( 36.38/36.71 join(top,one) = join(one,complement(converse(sK0))) | ~spl2_240), 36.38/36.71 inference(avatar_component_clause,[],[f3126])). 36.38/36.71 fof(f3128,plain,( 36.38/36.71 spl2_240 | ~spl2_10 | ~spl2_14 | ~spl2_230), 36.38/36.71 inference(avatar_split_clause,[],[f3111,f3068,f92,f80,f3126])). 36.38/36.71 fof(f3135,plain,( 36.38/36.71 join(complement(converse(sK0)),one) = converse(converse(join(top,one))) | (~spl2_50 | ~spl2_240)), 36.38/36.71 inference(superposition,[],[f389,f3127])). 36.38/36.71 fof(f3138,plain,( 36.38/36.71 join(top,one) = join(complement(converse(sK0)),one) | (~spl2_8 | ~spl2_50 | ~spl2_240)), 36.38/36.71 inference(forward_demodulation,[],[f3135,f77])). 36.38/36.71 fof(f3143,plain,( 36.38/36.71 spl2_242 <=> join(top,one) = join(complement(converse(sK0)),one)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_242])])). 36.38/36.71 fof(f3144,plain,( 36.38/36.71 join(top,one) = join(complement(converse(sK0)),one) | ~spl2_242), 36.38/36.71 inference(avatar_component_clause,[],[f3143])). 36.38/36.71 fof(f3145,plain,( 36.38/36.71 spl2_242 | ~spl2_8 | ~spl2_50 | ~spl2_240), 36.38/36.71 inference(avatar_split_clause,[],[f3138,f3126,f388,f76,f3143])). 36.38/36.71 fof(f3174,plain,( 36.38/36.71 join(one,top) = join(one,complement(converse(sK1))) | (~spl2_10 | ~spl2_232)), 36.38/36.71 inference(superposition,[],[f3073,f81])). 36.38/36.71 fof(f3190,plain,( 36.38/36.71 join(top,one) = join(one,complement(converse(sK1))) | (~spl2_10 | ~spl2_14 | ~spl2_232)), 36.38/36.71 inference(forward_demodulation,[],[f3174,f93])). 36.38/36.71 fof(f3205,plain,( 36.38/36.71 spl2_244 <=> join(top,one) = join(one,complement(converse(sK1)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_244])])). 36.38/36.71 fof(f3206,plain,( 36.38/36.71 join(top,one) = join(one,complement(converse(sK1))) | ~spl2_244), 36.38/36.71 inference(avatar_component_clause,[],[f3205])). 36.38/36.71 fof(f3207,plain,( 36.38/36.71 spl2_244 | ~spl2_10 | ~spl2_14 | ~spl2_232), 36.38/36.71 inference(avatar_split_clause,[],[f3190,f3072,f92,f80,f3205])). 36.38/36.71 fof(f3214,plain,( 36.38/36.71 join(complement(converse(sK1)),one) = converse(converse(join(top,one))) | (~spl2_50 | ~spl2_244)), 36.38/36.71 inference(superposition,[],[f389,f3206])). 36.38/36.71 fof(f3217,plain,( 36.38/36.71 join(top,one) = join(complement(converse(sK1)),one) | (~spl2_8 | ~spl2_50 | ~spl2_244)), 36.38/36.71 inference(forward_demodulation,[],[f3214,f77])). 36.38/36.71 fof(f3222,plain,( 36.38/36.71 spl2_246 <=> join(top,one) = join(complement(converse(sK1)),one)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_246])])). 36.38/36.71 fof(f3223,plain,( 36.38/36.71 join(top,one) = join(complement(converse(sK1)),one) | ~spl2_246), 36.38/36.71 inference(avatar_component_clause,[],[f3222])). 36.38/36.71 fof(f3224,plain,( 36.38/36.71 spl2_246 | ~spl2_8 | ~spl2_50 | ~spl2_244), 36.38/36.71 inference(avatar_split_clause,[],[f3217,f3205,f388,f76,f3222])). 36.38/36.71 fof(f3346,plain,( 36.38/36.71 spl2_252 <=> ! [X0] : join(top,X0) = join(top,join(converse(sK0),X0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_252])])). 36.38/36.71 fof(f3347,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(top,join(converse(sK0),X0))) ) | ~spl2_252), 36.38/36.71 inference(avatar_component_clause,[],[f3346])). 36.38/36.71 fof(f3348,plain,( 36.38/36.71 spl2_252 | ~spl2_66 | ~spl2_102), 36.38/36.71 inference(avatar_split_clause,[],[f1390,f1378,f638,f3346])). 36.38/36.71 fof(f3362,plain,( 36.38/36.71 spl2_260 <=> ! [X1,X0,X2] : complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_260])])). 36.38/36.71 fof(f3363,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))))) ) | ~spl2_260), 36.38/36.71 inference(avatar_component_clause,[],[f3362])). 36.38/36.71 fof(f3364,plain,( 36.38/36.71 spl2_260), 36.38/36.71 inference(avatar_split_clause,[],[f49,f3362])). 36.38/36.71 fof(f3564,plain,( 36.38/36.71 join(top,converse(top)) = join(top,converse(complement(sK0))) | (~spl2_40 | ~spl2_252)), 36.38/36.71 inference(superposition,[],[f3347,f203])). 36.38/36.71 fof(f3660,plain,( 36.38/36.71 ( ! [X6,X4,X5] : (complement(join(complement(X6),complement(composition(X4,complement(join(complement(X5),complement(composition(converse(X4),X6)))))))) = join(complement(join(complement(X6),complement(composition(X4,X5)))),complement(join(complement(X6),complement(composition(X4,complement(join(complement(X5),complement(composition(converse(X4),X6)))))))))) ) | (~spl2_14 | ~spl2_234)), 36.38/36.71 inference(superposition,[],[f3077,f93])). 36.38/36.71 fof(f3662,plain,( 36.38/36.71 ( ! [X0,X1] : (complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))))) ) | (~spl2_0 | ~spl2_234)), 36.38/36.71 inference(superposition,[],[f3077,f55])). 36.38/36.71 fof(f3688,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(complement(complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),complement(join(complement(join(complement(composition(X0,X1)),complement(X2))),join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))))) ) | (~spl2_196 | ~spl2_234)), 36.38/36.71 inference(superposition,[],[f2295,f3077])). 36.38/36.71 fof(f3689,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(join(complement(composition(X3,X4)),complement(X5))),complement(complement(join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))))),complement(complement(join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))))) ) | (~spl2_196 | ~spl2_234)), 36.38/36.71 inference(superposition,[],[f2295,f3077])). 36.38/36.71 fof(f3698,plain,( 36.38/36.71 ( ! [X0,X1] : (complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))) = join(complement(join(zero,complement(composition(X0,X1)))),complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_234)), 36.38/36.71 inference(forward_demodulation,[],[f3662,f93])). 36.38/36.71 fof(f3716,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(complement(complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),complement(join(complement(X2),join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(join(complement(composition(X0,X1)),complement(X2)))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_234)), 36.38/36.71 inference(forward_demodulation,[],[f3688,f1297])). 36.38/36.71 fof(f3717,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(complement(complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),complement(join(complement(X2),join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_234)), 36.38/36.71 inference(forward_demodulation,[],[f3716,f93])). 36.38/36.71 fof(f4012,plain,( 36.38/36.71 spl2_296 <=> join(top,converse(top)) = join(top,converse(complement(sK0)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_296])])). 36.38/36.71 fof(f4013,plain,( 36.38/36.71 join(top,converse(top)) = join(top,converse(complement(sK0))) | ~spl2_296), 36.38/36.71 inference(avatar_component_clause,[],[f4012])). 36.38/36.71 fof(f4014,plain,( 36.38/36.71 spl2_296 | ~spl2_40 | ~spl2_252), 36.38/36.71 inference(avatar_split_clause,[],[f3564,f3346,f202,f4012])). 36.38/36.71 fof(f4065,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(complement(complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))),complement(join(complement(join(complement(composition(X0,X1)),complement(X2))),join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))))) ) | (~spl2_196 | ~spl2_260)), 36.38/36.71 inference(superposition,[],[f2295,f3363])). 36.38/36.71 fof(f4087,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(complement(complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))),complement(join(complement(X2),join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(join(complement(composition(X0,X1)),complement(X2)))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_260)), 36.38/36.71 inference(forward_demodulation,[],[f4065,f1297])). 36.38/36.71 fof(f4088,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(complement(complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))),complement(join(complement(X2),join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_260)), 36.38/36.71 inference(forward_demodulation,[],[f4087,f93])). 36.38/36.71 fof(f4310,plain,( 36.38/36.71 join(converse(complement(sK0)),top) = converse(converse(join(top,converse(top)))) | (~spl2_50 | ~spl2_296)), 36.38/36.71 inference(superposition,[],[f389,f4013])). 36.38/36.71 fof(f4316,plain,( 36.38/36.71 join(top,converse(top)) = join(converse(complement(sK0)),top) | (~spl2_8 | ~spl2_50 | ~spl2_296)), 36.38/36.71 inference(forward_demodulation,[],[f4310,f77])). 36.38/36.71 fof(f4525,plain,( 36.38/36.71 spl2_322 <=> ! [X1,X0,X2] : join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))) = composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_322])])). 36.38/36.71 fof(f4526,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))) = composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))) ) | ~spl2_322), 36.38/36.71 inference(avatar_component_clause,[],[f4525])). 36.38/36.71 fof(f4527,plain,( 36.38/36.71 spl2_322), 36.38/36.71 inference(avatar_split_clause,[],[f46,f4525])). 36.38/36.71 fof(f4863,plain,( 36.38/36.71 spl2_334 <=> join(top,converse(top)) = join(converse(complement(sK0)),top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_334])])). 36.38/36.71 fof(f4864,plain,( 36.38/36.71 join(top,converse(top)) = join(converse(complement(sK0)),top) | ~spl2_334), 36.38/36.71 inference(avatar_component_clause,[],[f4863])). 36.38/36.71 fof(f4865,plain,( 36.38/36.71 spl2_334 | ~spl2_8 | ~spl2_50 | ~spl2_296), 36.38/36.71 inference(avatar_split_clause,[],[f4316,f4012,f388,f76,f4863])). 36.38/36.71 fof(f4907,plain,( 36.38/36.71 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),composition(complement(join(complement(X0),complement(composition(X1,converse(one))))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) = composition(complement(join(complement(X0),complement(composition(X1,converse(one))))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) ) | (~spl2_6 | ~spl2_322)), 36.38/36.71 inference(superposition,[],[f4526,f73])). 36.38/36.71 fof(f4966,plain,( 36.38/36.71 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),composition(complement(join(complement(X0),complement(composition(X1,one)))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) = composition(complement(join(complement(X0),complement(composition(X1,one)))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) ) | (~spl2_6 | ~spl2_60 | ~spl2_322)), 36.38/36.71 inference(forward_demodulation,[],[f4907,f599])). 36.38/36.71 fof(f4967,plain,( 36.38/36.71 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),composition(complement(join(complement(X0),complement(X1))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) = composition(complement(join(complement(X0),complement(X1))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) ) | (~spl2_6 | ~spl2_60 | ~spl2_322)), 36.38/36.71 inference(forward_demodulation,[],[f4966,f73])). 36.38/36.71 fof(f5699,plain,( 36.38/36.71 spl2_360 <=> ! [X15,X14] : join(top,X15) = join(X14,join(complement(X14),X15))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_360])])). 36.38/36.71 fof(f5700,plain,( 36.38/36.71 ( ! [X14,X15] : (join(top,X15) = join(X14,join(complement(X14),X15))) ) | ~spl2_360), 36.38/36.71 inference(avatar_component_clause,[],[f5699])). 36.38/36.71 fof(f5701,plain,( 36.38/36.71 spl2_360 | ~spl2_10 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1277,f638,f80,f5699])). 36.38/36.71 fof(f5841,plain,( 36.38/36.71 spl2_362 <=> ! [X16] : join(top,X16) = join(top,join(zero,X16))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_362])])). 36.38/36.71 fof(f5842,plain,( 36.38/36.71 ( ! [X16] : (join(top,X16) = join(top,join(zero,X16))) ) | ~spl2_362), 36.38/36.71 inference(avatar_component_clause,[],[f5841])). 36.38/36.71 fof(f5843,plain,( 36.38/36.71 spl2_362 | ~spl2_12 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1278,f638,f88,f5841])). 36.38/36.71 fof(f5846,plain,( 36.38/36.71 ( ! [X2] : (join(top,X2) = join(top,complement(complement(X2)))) ) | (~spl2_214 | ~spl2_362)), 36.38/36.71 inference(superposition,[],[f5842,f2745])). 36.38/36.71 fof(f5847,plain,( 36.38/36.71 join(top,top) = join(top,complement(zero)) | (~spl2_10 | ~spl2_362)), 36.38/36.71 inference(superposition,[],[f5842,f81])). 36.38/36.71 fof(f5882,plain,( 36.38/36.71 spl2_364 <=> join(top,top) = join(top,complement(zero))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_364])])). 36.38/36.71 fof(f5883,plain,( 36.38/36.71 join(top,top) = join(top,complement(zero)) | ~spl2_364), 36.38/36.71 inference(avatar_component_clause,[],[f5882])). 36.38/36.71 fof(f5884,plain,( 36.38/36.71 spl2_364 | ~spl2_10 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f5847,f5841,f80,f5882])). 36.38/36.71 fof(f5894,plain,( 36.38/36.71 join(complement(zero),top) = converse(converse(join(top,top))) | (~spl2_50 | ~spl2_364)), 36.38/36.71 inference(superposition,[],[f389,f5883])). 36.38/36.71 fof(f5896,plain,( 36.38/36.71 join(top,top) = join(complement(zero),top) | (~spl2_8 | ~spl2_50 | ~spl2_364)), 36.38/36.71 inference(forward_demodulation,[],[f5894,f77])). 36.38/36.71 fof(f5901,plain,( 36.38/36.71 spl2_366 <=> join(top,top) = join(complement(zero),top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_366])])). 36.38/36.71 fof(f5902,plain,( 36.38/36.71 join(top,top) = join(complement(zero),top) | ~spl2_366), 36.38/36.71 inference(avatar_component_clause,[],[f5901])). 36.38/36.71 fof(f5903,plain,( 36.38/36.71 spl2_366 | ~spl2_8 | ~spl2_50 | ~spl2_364), 36.38/36.71 inference(avatar_split_clause,[],[f5896,f5882,f388,f76,f5901])). 36.38/36.71 fof(f5922,plain,( 36.38/36.71 join(complement(join(complement(zero),complement(top))),complement(join(top,top))) = zero | (~spl2_196 | ~spl2_366)), 36.38/36.71 inference(superposition,[],[f2295,f5902])). 36.38/36.71 fof(f5937,plain,( 36.38/36.71 join(complement(join(complement(zero),zero)),complement(join(top,top))) = zero | (~spl2_0 | ~spl2_196 | ~spl2_366)), 36.38/36.71 inference(forward_demodulation,[],[f5922,f55])). 36.38/36.71 fof(f5938,plain,( 36.38/36.71 join(complement(top),complement(join(top,top))) = zero | (~spl2_0 | ~spl2_52 | ~spl2_196 | ~spl2_366)), 36.38/36.71 inference(forward_demodulation,[],[f5937,f441])). 36.38/36.71 fof(f5939,plain,( 36.38/36.71 join(zero,complement(join(top,top))) = zero | (~spl2_0 | ~spl2_52 | ~spl2_196 | ~spl2_366)), 36.38/36.71 inference(forward_demodulation,[],[f5938,f55])). 36.38/36.71 fof(f5946,plain,( 36.38/36.71 spl2_368 <=> join(zero,complement(join(top,top))) = zero), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_368])])). 36.38/36.71 fof(f5947,plain,( 36.38/36.71 join(zero,complement(join(top,top))) = zero | ~spl2_368), 36.38/36.71 inference(avatar_component_clause,[],[f5946])). 36.38/36.71 fof(f5948,plain,( 36.38/36.71 spl2_368 | ~spl2_0 | ~spl2_52 | ~spl2_196 | ~spl2_366), 36.38/36.71 inference(avatar_split_clause,[],[f5939,f5901,f2294,f440,f54,f5946])). 36.38/36.71 fof(f5949,plain,( 36.38/36.71 join(top,zero) = join(top,complement(join(top,top))) | (~spl2_362 | ~spl2_368)), 36.38/36.71 inference(superposition,[],[f5842,f5947])). 36.38/36.71 fof(f5951,plain,( 36.38/36.71 join(complement(join(top,top)),zero) = converse(converse(zero)) | (~spl2_50 | ~spl2_368)), 36.38/36.71 inference(superposition,[],[f389,f5947])). 36.38/36.71 fof(f5952,plain,( 36.38/36.71 join(top,complement(join(top,top))) = top | (~spl2_12 | ~spl2_362 | ~spl2_368)), 36.38/36.71 inference(forward_demodulation,[],[f5949,f89])). 36.38/36.71 fof(f5953,plain,( 36.38/36.71 join(complement(join(top,top)),zero) = zero | (~spl2_8 | ~spl2_50 | ~spl2_368)), 36.38/36.71 inference(forward_demodulation,[],[f5951,f77])). 36.38/36.71 fof(f5958,plain,( 36.38/36.71 spl2_370 <=> join(top,complement(join(top,top))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_370])])). 36.38/36.71 fof(f5959,plain,( 36.38/36.71 join(top,complement(join(top,top))) = top | ~spl2_370), 36.38/36.71 inference(avatar_component_clause,[],[f5958])). 36.38/36.71 fof(f5960,plain,( 36.38/36.71 spl2_370 | ~spl2_12 | ~spl2_362 | ~spl2_368), 36.38/36.71 inference(avatar_split_clause,[],[f5952,f5946,f5841,f88,f5958])). 36.38/36.71 fof(f5965,plain,( 36.38/36.71 spl2_372 <=> join(complement(join(top,top)),zero) = zero), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_372])])). 36.38/36.71 fof(f5966,plain,( 36.38/36.71 join(complement(join(top,top)),zero) = zero | ~spl2_372), 36.38/36.71 inference(avatar_component_clause,[],[f5965])). 36.38/36.71 fof(f5967,plain,( 36.38/36.71 spl2_372 | ~spl2_8 | ~spl2_50 | ~spl2_368), 36.38/36.71 inference(avatar_split_clause,[],[f5953,f5946,f388,f76,f5965])). 36.38/36.71 fof(f5977,plain,( 36.38/36.71 join(complement(join(top,top)),top) = converse(converse(top)) | (~spl2_50 | ~spl2_370)), 36.38/36.71 inference(superposition,[],[f389,f5959])). 36.38/36.71 fof(f5978,plain,( 36.38/36.71 join(complement(join(top,top)),top) = top | (~spl2_8 | ~spl2_50 | ~spl2_370)), 36.38/36.71 inference(forward_demodulation,[],[f5977,f77])). 36.38/36.71 fof(f5994,plain,( 36.38/36.71 spl2_374 <=> join(complement(join(top,top)),top) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_374])])). 36.38/36.71 fof(f5995,plain,( 36.38/36.71 join(complement(join(top,top)),top) = top | ~spl2_374), 36.38/36.71 inference(avatar_component_clause,[],[f5994])). 36.38/36.71 fof(f5996,plain,( 36.38/36.71 spl2_374 | ~spl2_8 | ~spl2_50 | ~spl2_370), 36.38/36.71 inference(avatar_split_clause,[],[f5978,f5958,f388,f76,f5994])). 36.38/36.71 fof(f6015,plain,( 36.38/36.71 join(top,top) = join(complement(join(complement(join(top,top)),complement(top))),complement(top)) | (~spl2_196 | ~spl2_374)), 36.38/36.71 inference(superposition,[],[f2295,f5995])). 36.38/36.71 fof(f6030,plain,( 36.38/36.71 join(top,top) = join(complement(join(complement(join(top,top)),zero)),zero) | (~spl2_0 | ~spl2_196 | ~spl2_374)), 36.38/36.71 inference(forward_demodulation,[],[f6015,f55])). 36.38/36.71 fof(f6031,plain,( 36.38/36.71 join(top,top) = join(complement(zero),zero) | (~spl2_0 | ~spl2_196 | ~spl2_372 | ~spl2_374)), 36.38/36.71 inference(forward_demodulation,[],[f6030,f5966])). 36.38/36.71 fof(f6032,plain,( 36.38/36.71 join(top,top) = top | (~spl2_0 | ~spl2_52 | ~spl2_196 | ~spl2_372 | ~spl2_374)), 36.38/36.71 inference(forward_demodulation,[],[f6031,f441])). 36.38/36.71 fof(f6033,plain,( 36.38/36.71 join(top,complement(sK0)) = top | (~spl2_0 | ~spl2_52 | ~spl2_176 | ~spl2_196 | ~spl2_372 | ~spl2_374)), 36.38/36.71 inference(backward_demodulation,[],[f6032,f1897])). 36.38/36.71 fof(f6077,plain,( 36.38/36.71 spl2_376 <=> join(top,complement(sK0)) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_376])])). 36.38/36.71 fof(f6078,plain,( 36.38/36.71 join(top,complement(sK0)) = top | ~spl2_376), 36.38/36.71 inference(avatar_component_clause,[],[f6077])). 36.38/36.71 fof(f6079,plain,( 36.38/36.71 spl2_376 | ~spl2_0 | ~spl2_52 | ~spl2_176 | ~spl2_196 | ~spl2_372 | ~spl2_374), 36.38/36.71 inference(avatar_split_clause,[],[f6033,f5994,f5965,f2294,f1896,f440,f54,f6077])). 36.38/36.71 fof(f6095,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(top,join(complement(sK0),X0))) ) | (~spl2_66 | ~spl2_376)), 36.38/36.71 inference(superposition,[],[f639,f6078])). 36.38/36.71 fof(f6097,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(top,join(top,X0))) ) | (~spl2_66 | ~spl2_176 | ~spl2_376)), 36.38/36.71 inference(backward_demodulation,[],[f6095,f1903])). 36.38/36.71 fof(f6427,plain,( 36.38/36.71 spl2_400 <=> ! [X0] : join(top,X0) = join(top,join(top,X0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_400])])). 36.38/36.71 fof(f6428,plain,( 36.38/36.71 ( ! [X0] : (join(top,X0) = join(top,join(top,X0))) ) | ~spl2_400), 36.38/36.71 inference(avatar_component_clause,[],[f6427])). 36.38/36.71 fof(f6429,plain,( 36.38/36.71 spl2_400 | ~spl2_66 | ~spl2_176 | ~spl2_376), 36.38/36.71 inference(avatar_split_clause,[],[f6097,f6077,f1896,f638,f6427])). 36.38/36.71 fof(f6454,plain,( 36.38/36.71 join(top,converse(top)) = converse(top) | (~spl2_38 | ~spl2_400)), 36.38/36.71 inference(superposition,[],[f6428,f189])). 36.38/36.71 fof(f6481,plain,( 36.38/36.71 join(converse(complement(sK0)),top) = converse(top) | (~spl2_38 | ~spl2_334 | ~spl2_400)), 36.38/36.71 inference(backward_demodulation,[],[f6454,f4864])). 36.38/36.71 fof(f6505,plain,( 36.38/36.71 ( ! [X13] : (join(top,complement(X13)) = join(X13,complement(X13))) ) | (~spl2_222 | ~spl2_360)), 36.38/36.71 inference(superposition,[],[f5700,f2979])). 36.38/36.71 fof(f6610,plain,( 36.38/36.71 ( ! [X13] : (join(top,complement(X13)) = top) ) | (~spl2_10 | ~spl2_222 | ~spl2_360)), 36.38/36.71 inference(forward_demodulation,[],[f6505,f81])). 36.38/36.71 fof(f6611,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(zero,complement(X0))),complement(top)) = X0) ) | (~spl2_0 | ~spl2_10 | ~spl2_14 | ~spl2_196 | ~spl2_222 | ~spl2_360)), 36.38/36.71 inference(backward_demodulation,[],[f6610,f2725])). 36.38/36.71 fof(f6612,plain,( 36.38/36.71 ( ! [X2] : (join(top,X2) = top) ) | (~spl2_10 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6610,f5846])). 36.38/36.71 fof(f6616,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(zero,complement(X0))),zero) = X0) ) | (~spl2_0 | ~spl2_10 | ~spl2_14 | ~spl2_196 | ~spl2_222 | ~spl2_360)), 36.38/36.71 inference(forward_demodulation,[],[f6611,f55])). 36.38/36.71 fof(f6638,plain,( 36.38/36.71 ( ! [X3] : (join(sK0,join(X3,top)) = top) ) | (~spl2_10 | ~spl2_204 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6612,f2531])). 36.38/36.71 fof(f6751,plain,( 36.38/36.71 join(complement(sK0),one) = top | (~spl2_10 | ~spl2_134 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6612,f1585])). 36.38/36.71 fof(f6754,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK0))),complement(top)) = sK0 | (~spl2_10 | ~spl2_14 | ~spl2_134 | ~spl2_196 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6612,f2740])). 36.38/36.71 fof(f6755,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK1))),complement(top)) = sK1 | (~spl2_10 | ~spl2_14 | ~spl2_138 | ~spl2_196 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6612,f2741])). 36.38/36.71 fof(f6757,plain,( 36.38/36.71 join(complement(converse(sK0)),one) = top | (~spl2_10 | ~spl2_214 | ~spl2_222 | ~spl2_242 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6612,f3144])). 36.38/36.71 fof(f6760,plain,( 36.38/36.71 join(complement(converse(sK1)),one) = top | (~spl2_10 | ~spl2_214 | ~spl2_222 | ~spl2_246 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6612,f3223])). 36.38/36.71 fof(f6766,plain,( 36.38/36.71 ( ! [X0] : (join(X0,top) = top) ) | (~spl2_10 | ~spl2_164 | ~spl2_204 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(backward_demodulation,[],[f6638,f1832])). 36.38/36.71 fof(f6789,plain,( 36.38/36.71 top = converse(top) | (~spl2_10 | ~spl2_38 | ~spl2_164 | ~spl2_204 | ~spl2_214 | ~spl2_222 | ~spl2_334 | ~spl2_360 | ~spl2_362 | ~spl2_400)), 36.38/36.71 inference(backward_demodulation,[],[f6766,f6481])). 36.38/36.71 fof(f6799,plain,( 36.38/36.71 ( ! [X4] : (join(X4,converse(complement(converse(X4)))) = top) ) | (~spl2_10 | ~spl2_38 | ~spl2_164 | ~spl2_204 | ~spl2_214 | ~spl2_222 | ~spl2_334 | ~spl2_360 | ~spl2_362 | ~spl2_400)), 36.38/36.71 inference(backward_demodulation,[],[f6789,f189])). 36.38/36.71 fof(f6978,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK0))),zero) = sK0 | (~spl2_0 | ~spl2_10 | ~spl2_14 | ~spl2_134 | ~spl2_196 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(forward_demodulation,[],[f6754,f55])). 36.38/36.71 fof(f6979,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK1))),zero) = sK1 | (~spl2_0 | ~spl2_10 | ~spl2_14 | ~spl2_138 | ~spl2_196 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362)), 36.38/36.71 inference(forward_demodulation,[],[f6755,f55])). 36.38/36.71 fof(f7103,plain,( 36.38/36.71 spl2_402 <=> top = converse(top)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_402])])). 36.38/36.71 fof(f7104,plain,( 36.38/36.71 top = converse(top) | ~spl2_402), 36.38/36.71 inference(avatar_component_clause,[],[f7103])). 36.38/36.71 fof(f7105,plain,( 36.38/36.71 spl2_402 | ~spl2_10 | ~spl2_38 | ~spl2_164 | ~spl2_204 | ~spl2_214 | ~spl2_222 | ~spl2_334 | ~spl2_360 | ~spl2_362 | ~spl2_400), 36.38/36.71 inference(avatar_split_clause,[],[f6789,f6427,f5841,f5699,f4863,f2978,f2744,f2530,f1831,f188,f80,f7103])). 36.38/36.71 fof(f7109,plain,( 36.38/36.71 ( ! [X2] : (composition(top,converse(X2)) = converse(composition(X2,top))) ) | (~spl2_26 | ~spl2_402)), 36.38/36.71 inference(superposition,[],[f141,f7104])). 36.38/36.71 fof(f7149,plain,( 36.38/36.71 spl2_404 <=> ! [X0] : join(X0,top) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_404])])). 36.38/36.71 fof(f7150,plain,( 36.38/36.71 ( ! [X0] : (join(X0,top) = top) ) | ~spl2_404), 36.38/36.71 inference(avatar_component_clause,[],[f7149])). 36.38/36.71 fof(f7151,plain,( 36.38/36.71 spl2_404 | ~spl2_10 | ~spl2_164 | ~spl2_204 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f6766,f5841,f5699,f2978,f2744,f2530,f1831,f80,f7149])). 36.38/36.71 fof(f7230,plain,( 36.38/36.71 spl2_410 <=> ! [X2] : join(top,X2) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_410])])). 36.38/36.71 fof(f7231,plain,( 36.38/36.71 ( ! [X2] : (join(top,X2) = top) ) | ~spl2_410), 36.38/36.71 inference(avatar_component_clause,[],[f7230])). 36.38/36.71 fof(f7232,plain,( 36.38/36.71 spl2_410 | ~spl2_10 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f6612,f5841,f5699,f2978,f2744,f80,f7230])). 36.38/36.71 fof(f7283,plain,( 36.38/36.71 spl2_412 <=> join(complement(sK0),one) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_412])])). 36.38/36.71 fof(f7284,plain,( 36.38/36.71 join(complement(sK0),one) = top | ~spl2_412), 36.38/36.71 inference(avatar_component_clause,[],[f7283])). 36.38/36.71 fof(f7285,plain,( 36.38/36.71 spl2_412 | ~spl2_10 | ~spl2_134 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f6751,f5841,f5699,f2978,f2744,f1584,f80,f7283])). 36.38/36.71 fof(f7679,plain,( 36.38/36.71 spl2_440 <=> join(complement(converse(sK0)),one) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_440])])). 36.38/36.71 fof(f7680,plain,( 36.38/36.71 join(complement(converse(sK0)),one) = top | ~spl2_440), 36.38/36.71 inference(avatar_component_clause,[],[f7679])). 36.38/36.71 fof(f7681,plain,( 36.38/36.71 spl2_440 | ~spl2_10 | ~spl2_214 | ~spl2_222 | ~spl2_242 | ~spl2_360 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f6757,f5841,f5699,f3143,f2978,f2744,f80,f7679])). 36.38/36.71 fof(f7686,plain,( 36.38/36.71 spl2_442 <=> join(complement(converse(sK1)),one) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_442])])). 36.38/36.71 fof(f7687,plain,( 36.38/36.71 join(complement(converse(sK1)),one) = top | ~spl2_442), 36.38/36.71 inference(avatar_component_clause,[],[f7686])). 36.38/36.71 fof(f7688,plain,( 36.38/36.71 spl2_442 | ~spl2_10 | ~spl2_214 | ~spl2_222 | ~spl2_246 | ~spl2_360 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f6760,f5841,f5699,f3222,f2978,f2744,f80,f7686])). 36.38/36.71 fof(f7772,plain,( 36.38/36.71 spl2_446 <=> ! [X4] : join(X4,converse(complement(converse(X4)))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_446])])). 36.38/36.71 fof(f7773,plain,( 36.38/36.71 ( ! [X4] : (join(X4,converse(complement(converse(X4)))) = top) ) | ~spl2_446), 36.38/36.71 inference(avatar_component_clause,[],[f7772])). 36.38/36.71 fof(f7774,plain,( 36.38/36.71 spl2_446 | ~spl2_10 | ~spl2_38 | ~spl2_164 | ~spl2_204 | ~spl2_214 | ~spl2_222 | ~spl2_334 | ~spl2_360 | ~spl2_362 | ~spl2_400), 36.38/36.71 inference(avatar_split_clause,[],[f6799,f6427,f5841,f5699,f4863,f2978,f2744,f2530,f1831,f188,f80,f7772])). 36.38/36.71 fof(f8424,plain,( 36.38/36.71 spl2_470 <=> ! [X0] : join(complement(join(zero,complement(X0))),zero) = X0), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_470])])). 36.38/36.71 fof(f8425,plain,( 36.38/36.71 ( ! [X0] : (join(complement(join(zero,complement(X0))),zero) = X0) ) | ~spl2_470), 36.38/36.71 inference(avatar_component_clause,[],[f8424])). 36.38/36.71 fof(f8426,plain,( 36.38/36.71 spl2_470 | ~spl2_0 | ~spl2_10 | ~spl2_14 | ~spl2_196 | ~spl2_222 | ~spl2_360), 36.38/36.71 inference(avatar_split_clause,[],[f6616,f5699,f2978,f2294,f92,f80,f54,f8424])). 36.38/36.71 fof(f8896,plain,( 36.38/36.71 ( ! [X0] : (complement(X0) = join(complement(X0),zero)) ) | (~spl2_214 | ~spl2_470)), 36.38/36.71 inference(superposition,[],[f8425,f2745])). 36.38/36.71 fof(f9139,plain,( 36.38/36.71 spl2_496 <=> ! [X0] : complement(X0) = join(complement(X0),zero)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_496])])). 36.38/36.71 fof(f9140,plain,( 36.38/36.71 ( ! [X0] : (complement(X0) = join(complement(X0),zero)) ) | ~spl2_496), 36.38/36.71 inference(avatar_component_clause,[],[f9139])). 36.38/36.71 fof(f9141,plain,( 36.38/36.71 spl2_496 | ~spl2_214 | ~spl2_470), 36.38/36.71 inference(avatar_split_clause,[],[f8896,f8424,f2744,f9139])). 36.38/36.71 fof(f9143,plain,( 36.38/36.71 ( ! [X0] : (complement(complement(X0)) = X0) ) | (~spl2_216 | ~spl2_496)), 36.38/36.71 inference(superposition,[],[f9140,f2753])). 36.38/36.71 fof(f9145,plain,( 36.38/36.71 complement(zero) = top | (~spl2_52 | ~spl2_496)), 36.38/36.71 inference(superposition,[],[f9140,f441])). 36.38/36.71 fof(f9164,plain,( 36.38/36.71 ( ! [X7] : (join(complement(join(complement(X7),complement(X7))),zero) = X7) ) | (~spl2_0 | ~spl2_10 | ~spl2_196 | ~spl2_216 | ~spl2_496)), 36.38/36.71 inference(backward_demodulation,[],[f9143,f2735])). 36.38/36.71 fof(f9165,plain,( 36.38/36.71 ( ! [X2] : (join(zero,X2) = X2) ) | (~spl2_214 | ~spl2_216 | ~spl2_496)), 36.38/36.71 inference(backward_demodulation,[],[f9143,f2745])). 36.38/36.71 fof(f9171,plain,( 36.38/36.71 ( ! [X6,X5] : (join(complement(X5),complement(X6)) = join(complement(join(join(complement(X5),X6),complement(join(complement(X5),complement(X6))))),complement(X5))) ) | (~spl2_14 | ~spl2_196 | ~spl2_216 | ~spl2_496)), 36.38/36.71 inference(backward_demodulation,[],[f9143,f2734])). 36.38/36.71 fof(f9173,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(join(complement(composition(X3,X4)),complement(X5))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))) ) | (~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(backward_demodulation,[],[f9143,f3689])). 36.38/36.71 fof(f9174,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))),complement(join(complement(X2),join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(backward_demodulation,[],[f9143,f3717])). 36.38/36.71 fof(f9176,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))),complement(join(complement(X2),join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_260 | ~spl2_496)), 36.38/36.71 inference(backward_demodulation,[],[f9143,f4088])). 36.38/36.71 fof(f9186,plain,( 36.38/36.71 ( ! [X7] : (join(complement(complement(X7)),zero) = X7) ) | (~spl2_0 | ~spl2_10 | ~spl2_196 | ~spl2_216 | ~spl2_222 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9164,f2979])). 36.38/36.71 fof(f9187,plain,( 36.38/36.71 ( ! [X7] : (join(X7,zero) = X7) ) | (~spl2_0 | ~spl2_10 | ~spl2_196 | ~spl2_216 | ~spl2_222 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9186,f9143])). 36.38/36.71 fof(f9195,plain,( 36.38/36.71 ( ! [X0,X1] : (complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = join(complement(join(zero,complement(composition(X0,X1)))),complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_214 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(backward_demodulation,[],[f9165,f3698])). 36.38/36.71 fof(f9211,plain,( 36.38/36.71 ( ! [X0,X1] : (join(complement(join(zero,complement(composition(X0,X1)))),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_214 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9195,f9143])). 36.38/36.71 fof(f9212,plain,( 36.38/36.71 ( ! [X0,X1] : (join(complement(complement(composition(X0,X1))),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_214 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9211,f9165])). 36.38/36.71 fof(f9213,plain,( 36.38/36.71 ( ! [X0,X1] : (join(composition(X0,X1),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_214 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9212,f9143])). 36.38/36.71 fof(f9228,plain,( 36.38/36.71 ( ! [X6,X5] : (join(complement(X5),complement(X6)) = join(complement(join(complement(X5),join(X6,complement(join(complement(X5),complement(X6)))))),complement(X5))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9171,f639])). 36.38/36.71 fof(f9229,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(X5),join(complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5)))))),complement(join(complement(composition(X3,X4)),complement(X5)))))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9173,f1297])). 36.38/36.71 fof(f9230,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(X5),join(complement(join(complement(composition(X3,X4)),complement(X5))),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496)), 36.38/36.71 inference(forward_demodulation,[],[f9229,f93])). 36.38/36.71 fof(f9252,plain,( 36.38/36.71 spl2_498 <=> complement(zero) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_498])])). 36.38/36.71 fof(f9253,plain,( 36.38/36.71 complement(zero) = top | ~spl2_498), 36.38/36.71 inference(avatar_component_clause,[],[f9252])). 36.38/36.71 fof(f9254,plain,( 36.38/36.71 spl2_498 | ~spl2_52 | ~spl2_496), 36.38/36.71 inference(avatar_split_clause,[],[f9145,f9139,f440,f9252])). 36.38/36.71 fof(f9306,plain,( 36.38/36.71 spl2_500 <=> ! [X2] : join(zero,X2) = X2), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_500])])). 36.38/36.71 fof(f9307,plain,( 36.38/36.71 ( ! [X2] : (join(zero,X2) = X2) ) | ~spl2_500), 36.38/36.71 inference(avatar_component_clause,[],[f9306])). 36.38/36.71 fof(f9308,plain,( 36.38/36.71 spl2_500 | ~spl2_214 | ~spl2_216 | ~spl2_496), 36.38/36.71 inference(avatar_split_clause,[],[f9165,f9139,f2752,f2744,f9306])). 36.38/36.71 fof(f9310,plain,( 36.38/36.71 spl2_502 <=> ! [X7] : join(X7,zero) = X7), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_502])])). 36.38/36.71 fof(f9311,plain,( 36.38/36.71 ( ! [X7] : (join(X7,zero) = X7) ) | ~spl2_502), 36.38/36.71 inference(avatar_component_clause,[],[f9310])). 36.38/36.71 fof(f9312,plain,( 36.38/36.71 spl2_502 | ~spl2_0 | ~spl2_10 | ~spl2_196 | ~spl2_216 | ~spl2_222 | ~spl2_496), 36.38/36.71 inference(avatar_split_clause,[],[f9187,f9139,f2978,f2752,f2294,f80,f54,f9310])). 36.38/36.71 fof(f9317,plain,( 36.38/36.71 top = converse(complement(converse(zero))) | (~spl2_446 | ~spl2_500)), 36.38/36.71 inference(superposition,[],[f9307,f7773])). 36.38/36.71 fof(f9448,plain,( 36.38/36.71 spl2_504 <=> top = converse(complement(converse(zero)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_504])])). 36.38/36.71 fof(f9449,plain,( 36.38/36.71 top = converse(complement(converse(zero))) | ~spl2_504), 36.38/36.71 inference(avatar_component_clause,[],[f9448])). 36.38/36.71 fof(f9450,plain,( 36.38/36.71 spl2_504 | ~spl2_446 | ~spl2_500), 36.38/36.71 inference(avatar_split_clause,[],[f9317,f9306,f7772,f9448])). 36.38/36.71 fof(f9455,plain,( 36.38/36.71 complement(converse(zero)) = converse(top) | (~spl2_8 | ~spl2_504)), 36.38/36.71 inference(superposition,[],[f77,f9449])). 36.38/36.71 fof(f9479,plain,( 36.38/36.71 complement(converse(zero)) = top | (~spl2_8 | ~spl2_402 | ~spl2_504)), 36.38/36.71 inference(forward_demodulation,[],[f9455,f7104])). 36.38/36.71 fof(f9534,plain,( 36.38/36.71 spl2_506 <=> complement(converse(zero)) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_506])])). 36.38/36.71 fof(f9535,plain,( 36.38/36.71 complement(converse(zero)) = top | ~spl2_506), 36.38/36.71 inference(avatar_component_clause,[],[f9534])). 36.38/36.71 fof(f9536,plain,( 36.38/36.71 spl2_506 | ~spl2_8 | ~spl2_402 | ~spl2_504), 36.38/36.71 inference(avatar_split_clause,[],[f9479,f9448,f7103,f76,f9534])). 36.38/36.71 fof(f9542,plain,( 36.38/36.71 ( ! [X1] : (join(complement(join(top,complement(X1))),complement(join(top,X1))) = converse(zero)) ) | (~spl2_196 | ~spl2_506)), 36.38/36.71 inference(superposition,[],[f2295,f9535])). 36.38/36.71 fof(f9558,plain,( 36.38/36.71 ( ! [X1] : (join(complement(join(top,complement(X1))),complement(top)) = converse(zero)) ) | (~spl2_196 | ~spl2_410 | ~spl2_506)), 36.38/36.71 inference(forward_demodulation,[],[f9542,f7231])). 36.38/36.71 fof(f9559,plain,( 36.38/36.71 ( ! [X1] : (join(complement(join(top,complement(X1))),zero) = converse(zero)) ) | (~spl2_0 | ~spl2_196 | ~spl2_410 | ~spl2_506)), 36.38/36.71 inference(forward_demodulation,[],[f9558,f55])). 36.38/36.71 fof(f9560,plain,( 36.38/36.71 join(complement(top),zero) = converse(zero) | (~spl2_0 | ~spl2_196 | ~spl2_410 | ~spl2_506)), 36.38/36.71 inference(forward_demodulation,[],[f9559,f7231])). 36.38/36.71 fof(f9561,plain,( 36.38/36.71 complement(top) = converse(zero) | (~spl2_0 | ~spl2_196 | ~spl2_410 | ~spl2_496 | ~spl2_506)), 36.38/36.71 inference(forward_demodulation,[],[f9560,f9140])). 36.38/36.71 fof(f9562,plain,( 36.38/36.71 zero = converse(zero) | (~spl2_0 | ~spl2_196 | ~spl2_410 | ~spl2_496 | ~spl2_506)), 36.38/36.71 inference(forward_demodulation,[],[f9561,f55])). 36.38/36.71 fof(f9611,plain,( 36.38/36.71 spl2_508 <=> zero = converse(zero)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_508])])). 36.38/36.71 fof(f9612,plain,( 36.38/36.71 zero = converse(zero) | ~spl2_508), 36.38/36.71 inference(avatar_component_clause,[],[f9611])). 36.38/36.71 fof(f9613,plain,( 36.38/36.71 spl2_508 | ~spl2_0 | ~spl2_196 | ~spl2_410 | ~spl2_496 | ~spl2_506), 36.38/36.71 inference(avatar_split_clause,[],[f9562,f9534,f9139,f7230,f2294,f54,f9611])). 36.38/36.71 fof(f9617,plain,( 36.38/36.71 ( ! [X2] : (composition(zero,converse(X2)) = converse(composition(X2,zero))) ) | (~spl2_26 | ~spl2_508)), 36.38/36.71 inference(superposition,[],[f141,f9612])). 36.38/36.71 fof(f9618,plain,( 36.38/36.71 ( ! [X3] : (composition(converse(X3),zero) = converse(composition(zero,X3))) ) | (~spl2_26 | ~spl2_508)), 36.38/36.71 inference(superposition,[],[f141,f9612])). 36.38/36.71 fof(f9944,plain,( 36.38/36.71 spl2_510 <=> ! [X0] : complement(complement(X0)) = X0), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_510])])). 36.38/36.71 fof(f9945,plain,( 36.38/36.71 ( ! [X0] : (complement(complement(X0)) = X0) ) | ~spl2_510), 36.38/36.71 inference(avatar_component_clause,[],[f9944])). 36.38/36.71 fof(f9946,plain,( 36.38/36.71 spl2_510 | ~spl2_216 | ~spl2_496), 36.38/36.71 inference(avatar_split_clause,[],[f9143,f9139,f2752,f9944])). 36.38/36.71 fof(f9954,plain,( 36.38/36.71 ( ! [X8] : (join(X8,X8) = X8) ) | (~spl2_222 | ~spl2_510)), 36.38/36.71 inference(superposition,[],[f2979,f9945])). 36.38/36.71 fof(f10009,plain,( 36.38/36.71 spl2_512 <=> ! [X8] : join(X8,X8) = X8), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_512])])). 36.38/36.71 fof(f10010,plain,( 36.38/36.71 ( ! [X8] : (join(X8,X8) = X8) ) | ~spl2_512), 36.38/36.71 inference(avatar_component_clause,[],[f10009])). 36.38/36.71 fof(f10011,plain,( 36.38/36.71 spl2_512 | ~spl2_222 | ~spl2_510), 36.38/36.71 inference(avatar_split_clause,[],[f9954,f9944,f2978,f10009])). 36.38/36.71 fof(f10038,plain,( 36.38/36.71 ( ! [X6,X5] : (join(X5,X6) = join(X5,join(X5,X6))) ) | (~spl2_66 | ~spl2_512)), 36.38/36.71 inference(superposition,[],[f639,f10010])). 36.38/36.71 fof(f10374,plain,( 36.38/36.71 spl2_532 <=> ! [X2] : composition(zero,converse(X2)) = converse(composition(X2,zero))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_532])])). 36.38/36.71 fof(f10375,plain,( 36.38/36.71 ( ! [X2] : (composition(zero,converse(X2)) = converse(composition(X2,zero))) ) | ~spl2_532), 36.38/36.71 inference(avatar_component_clause,[],[f10374])). 36.38/36.71 fof(f10376,plain,( 36.38/36.71 spl2_532 | ~spl2_26 | ~spl2_508), 36.38/36.71 inference(avatar_split_clause,[],[f9617,f9611,f140,f10374])). 36.38/36.71 fof(f10378,plain,( 36.38/36.71 spl2_534 <=> ! [X3] : composition(converse(X3),zero) = converse(composition(zero,X3))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_534])])). 36.38/36.71 fof(f10379,plain,( 36.38/36.71 ( ! [X3] : (composition(converse(X3),zero) = converse(composition(zero,X3))) ) | ~spl2_534), 36.38/36.71 inference(avatar_component_clause,[],[f10378])). 36.38/36.71 fof(f10380,plain,( 36.38/36.71 spl2_534 | ~spl2_26 | ~spl2_508), 36.38/36.71 inference(avatar_split_clause,[],[f9618,f9611,f140,f10378])). 36.38/36.71 fof(f10386,plain,( 36.38/36.71 spl2_538 <=> ! [X5,X4,X6] : join(X4,join(X5,X6)) = join(join(X5,X4),X6)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_538])])). 36.38/36.71 fof(f10387,plain,( 36.38/36.71 ( ! [X6,X4,X5] : (join(X4,join(X5,X6)) = join(join(X5,X4),X6)) ) | ~spl2_538), 36.38/36.71 inference(avatar_component_clause,[],[f10386])). 36.38/36.71 fof(f10388,plain,( 36.38/36.71 spl2_538 | ~spl2_14 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1274,f638,f92,f10386])). 36.38/36.71 fof(f10689,plain,( 36.38/36.71 ( ! [X1] : (composition(X1,zero) = converse(composition(zero,converse(X1)))) ) | (~spl2_8 | ~spl2_532)), 36.38/36.71 inference(superposition,[],[f77,f10375])). 36.38/36.71 fof(f10693,plain,( 36.38/36.71 ( ! [X8,X9] : (composition(converse(X9),composition(zero,converse(X8))) = converse(composition(composition(X8,zero),X9))) ) | (~spl2_26 | ~spl2_532)), 36.38/36.71 inference(superposition,[],[f141,f10375])). 36.38/36.71 fof(f10718,plain,( 36.38/36.71 ( ! [X8,X9] : (composition(converse(X9),composition(zero,converse(X8))) = converse(composition(X8,composition(zero,X9)))) ) | (~spl2_26 | ~spl2_46 | ~spl2_532)), 36.38/36.71 inference(forward_demodulation,[],[f10693,f275])). 36.38/36.71 fof(f10745,plain,( 36.38/36.71 ( ! [X21,X20] : (composition(converse(X21),composition(zero,X20)) = converse(composition(composition(converse(X20),zero),X21))) ) | (~spl2_36 | ~spl2_534)), 36.38/36.71 inference(superposition,[],[f169,f10379])). 36.38/36.71 fof(f10766,plain,( 36.38/36.71 ( ! [X21,X20] : (composition(converse(X21),composition(zero,X20)) = converse(composition(converse(X20),composition(zero,X21)))) ) | (~spl2_36 | ~spl2_46 | ~spl2_534)), 36.38/36.71 inference(forward_demodulation,[],[f10745,f275])). 36.38/36.71 fof(f11077,plain,( 36.38/36.71 spl2_556 <=> ! [X1,X0,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_556])])). 36.38/36.71 fof(f11078,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(X0,join(X1,X2)) = join(X2,join(X0,X1))) ) | ~spl2_556), 36.38/36.71 inference(avatar_component_clause,[],[f11077])). 36.38/36.71 fof(f11079,plain,( 36.38/36.71 spl2_556 | ~spl2_14 | ~spl2_66), 36.38/36.71 inference(avatar_split_clause,[],[f1297,f638,f92,f11077])). 36.38/36.71 fof(f11363,plain,( 36.38/36.71 spl2_576 <=> ! [X1] : composition(X1,zero) = converse(composition(zero,converse(X1)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_576])])). 36.38/36.71 fof(f11364,plain,( 36.38/36.71 ( ! [X1] : (composition(X1,zero) = converse(composition(zero,converse(X1)))) ) | ~spl2_576), 36.38/36.71 inference(avatar_component_clause,[],[f11363])). 36.38/36.71 fof(f11365,plain,( 36.38/36.71 spl2_576 | ~spl2_8 | ~spl2_532), 36.38/36.71 inference(avatar_split_clause,[],[f10689,f10374,f76,f11363])). 36.38/36.71 fof(f11455,plain,( 36.38/36.71 spl2_588 <=> ! [X0] : complement(one) = join(composition(converse(X0),complement(X0)),complement(one))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_588])])). 36.38/36.71 fof(f11456,plain,( 36.38/36.71 ( ! [X0] : (complement(one) = join(composition(converse(X0),complement(X0)),complement(one))) ) | ~spl2_588), 36.38/36.71 inference(avatar_component_clause,[],[f11455])). 36.38/36.71 fof(f11457,plain,( 36.38/36.71 spl2_588 | ~spl2_6 | ~spl2_108), 36.38/36.71 inference(avatar_split_clause,[],[f1783,f1412,f72,f11455])). 36.38/36.71 fof(f12196,plain,( 36.38/36.71 ( ! [X12] : (composition(join(X12,one),zero) = converse(composition(zero,join(one,converse(X12))))) ) | (~spl2_72 | ~spl2_576)), 36.38/36.71 inference(superposition,[],[f11364,f670])). 36.38/36.71 fof(f12197,plain,( 36.38/36.71 ( ! [X13] : (composition(join(one,X13),zero) = converse(composition(zero,join(one,converse(X13))))) ) | (~spl2_70 | ~spl2_576)), 36.38/36.71 inference(superposition,[],[f11364,f666])). 36.38/36.71 fof(f12239,plain,( 36.38/36.71 ( ! [X12] : (join(composition(X12,zero),zero) = converse(composition(zero,join(one,converse(X12))))) ) | (~spl2_62 | ~spl2_72 | ~spl2_132 | ~spl2_576)), 36.38/36.71 inference(forward_demodulation,[],[f12196,f1967])). 36.38/36.71 fof(f12240,plain,( 36.38/36.71 ( ! [X12] : (composition(X12,zero) = converse(composition(zero,join(one,converse(X12))))) ) | (~spl2_62 | ~spl2_72 | ~spl2_132 | ~spl2_502 | ~spl2_576)), 36.38/36.71 inference(forward_demodulation,[],[f12239,f9311])). 36.38/36.71 fof(f12241,plain,( 36.38/36.71 ( ! [X13] : (composition(X13,zero) = composition(join(one,X13),zero)) ) | (~spl2_62 | ~spl2_70 | ~spl2_72 | ~spl2_132 | ~spl2_502 | ~spl2_576)), 36.38/36.71 inference(forward_demodulation,[],[f12197,f12240])). 36.38/36.71 fof(f12378,plain,( 36.38/36.71 spl2_602 <=> ! [X0] : join(composition(converse(X0),complement(composition(X0,top))),zero) = zero), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_602])])). 36.38/36.71 fof(f12379,plain,( 36.38/36.71 ( ! [X0] : (join(composition(converse(X0),complement(composition(X0,top))),zero) = zero) ) | ~spl2_602), 36.38/36.71 inference(avatar_component_clause,[],[f12378])). 36.38/36.71 fof(f12380,plain,( 36.38/36.71 spl2_602 | ~spl2_0 | ~spl2_108), 36.38/36.71 inference(avatar_split_clause,[],[f1787,f1412,f54,f12378])). 36.38/36.71 fof(f12836,plain,( 36.38/36.71 spl2_618 <=> ! [X13] : composition(X13,zero) = composition(join(one,X13),zero)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_618])])). 36.38/36.71 fof(f12837,plain,( 36.38/36.71 ( ! [X13] : (composition(X13,zero) = composition(join(one,X13),zero)) ) | ~spl2_618), 36.38/36.71 inference(avatar_component_clause,[],[f12836])). 36.38/36.71 fof(f12838,plain,( 36.38/36.71 spl2_618 | ~spl2_62 | ~spl2_70 | ~spl2_72 | ~spl2_132 | ~spl2_502 | ~spl2_576), 36.38/36.71 inference(avatar_split_clause,[],[f12241,f11363,f9310,f1569,f669,f665,f624,f12836])). 36.38/36.71 fof(f13252,plain,( 36.38/36.71 ( ! [X0,X1] : (join(X0,X1) = join(X1,join(X0,join(X0,X1)))) ) | (~spl2_512 | ~spl2_538)), 36.38/36.71 inference(superposition,[],[f10387,f10010])). 36.38/36.71 fof(f13584,plain,( 36.38/36.71 ( ! [X0,X1] : (join(X0,X1) = join(X1,join(X0,X1))) ) | (~spl2_66 | ~spl2_512 | ~spl2_538)), 36.38/36.71 inference(forward_demodulation,[],[f13252,f10038])). 36.38/36.71 fof(f14654,plain,( 36.38/36.71 composition(one,zero) = composition(converse(sK0),zero) | (~spl2_74 | ~spl2_618)), 36.38/36.71 inference(superposition,[],[f12837,f724])). 36.38/36.71 fof(f14739,plain,( 36.38/36.71 zero = composition(converse(sK0),zero) | (~spl2_62 | ~spl2_74 | ~spl2_618)), 36.38/36.71 inference(forward_demodulation,[],[f14654,f625])). 36.38/36.71 fof(f14773,plain,( 36.38/36.71 ( ! [X24,X25] : (join(X25,top) = join(complement(X24),join(X25,X24))) ) | (~spl2_10 | ~spl2_556)), 36.38/36.71 inference(superposition,[],[f11078,f81])). 36.38/36.71 fof(f15432,plain,( 36.38/36.71 ( ! [X24,X25] : (join(complement(X24),join(X25,X24)) = top) ) | (~spl2_10 | ~spl2_404 | ~spl2_556)), 36.38/36.71 inference(forward_demodulation,[],[f14773,f7150])). 36.38/36.71 fof(f15949,plain,( 36.38/36.71 spl2_646 <=> zero = composition(converse(sK0),zero)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_646])])). 36.38/36.71 fof(f15950,plain,( 36.38/36.71 zero = composition(converse(sK0),zero) | ~spl2_646), 36.38/36.71 inference(avatar_component_clause,[],[f15949])). 36.38/36.71 fof(f15951,plain,( 36.38/36.71 spl2_646 | ~spl2_62 | ~spl2_74 | ~spl2_618), 36.38/36.71 inference(avatar_split_clause,[],[f14739,f12836,f723,f624,f15949])). 36.38/36.71 fof(f15964,plain,( 36.38/36.71 ( ! [X2] : (composition(zero,X2) = composition(converse(sK0),composition(zero,X2))) ) | (~spl2_46 | ~spl2_646)), 36.38/36.71 inference(superposition,[],[f275,f15950])). 36.38/36.71 fof(f16254,plain,( 36.38/36.71 spl2_658 <=> ! [X25,X24] : join(complement(X24),join(X25,X24)) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_658])])). 36.38/36.71 fof(f16255,plain,( 36.38/36.71 ( ! [X24,X25] : (join(complement(X24),join(X25,X24)) = top) ) | ~spl2_658), 36.38/36.71 inference(avatar_component_clause,[],[f16254])). 36.38/36.71 fof(f16256,plain,( 36.38/36.71 spl2_658 | ~spl2_10 | ~spl2_404 | ~spl2_556), 36.38/36.71 inference(avatar_split_clause,[],[f15432,f11077,f7149,f80,f16254])). 36.38/36.71 fof(f16459,plain,( 36.38/36.71 ( ! [X30,X31] : (join(join(X31,X30),complement(X30)) = converse(converse(top))) ) | (~spl2_50 | ~spl2_658)), 36.38/36.71 inference(superposition,[],[f389,f16255])). 36.38/36.71 fof(f16478,plain,( 36.38/36.71 ( ! [X30,X31] : (join(join(X31,X30),complement(X30)) = top) ) | (~spl2_8 | ~spl2_50 | ~spl2_658)), 36.38/36.71 inference(forward_demodulation,[],[f16459,f77])). 36.38/36.71 fof(f16544,plain,( 36.38/36.71 spl2_660 <=> ! [X31,X30] : join(join(X31,X30),complement(X30)) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_660])])). 36.38/36.71 fof(f16545,plain,( 36.38/36.71 ( ! [X30,X31] : (join(join(X31,X30),complement(X30)) = top) ) | ~spl2_660), 36.38/36.71 inference(avatar_component_clause,[],[f16544])). 36.38/36.71 fof(f16546,plain,( 36.38/36.71 spl2_660 | ~spl2_8 | ~spl2_50 | ~spl2_658), 36.38/36.71 inference(avatar_split_clause,[],[f16478,f16254,f388,f76,f16544])). 36.38/36.71 fof(f16552,plain,( 36.38/36.71 ( ! [X6,X5] : (join(join(X6,X5),complement(X6)) = top) ) | (~spl2_14 | ~spl2_660)), 36.38/36.71 inference(superposition,[],[f16545,f93])). 36.38/36.71 fof(f16780,plain,( 36.38/36.71 spl2_662 <=> ! [X5,X6] : join(join(X6,X5),complement(X6)) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_662])])). 36.38/36.71 fof(f16781,plain,( 36.38/36.71 ( ! [X6,X5] : (join(join(X6,X5),complement(X6)) = top) ) | ~spl2_662), 36.38/36.71 inference(avatar_component_clause,[],[f16780])). 36.38/36.71 fof(f16782,plain,( 36.38/36.71 spl2_662 | ~spl2_14 | ~spl2_660), 36.38/36.71 inference(avatar_split_clause,[],[f16552,f16544,f92,f16780])). 36.38/36.71 fof(f16811,plain,( 36.38/36.71 ( ! [X38] : (join(complement(one),complement(composition(converse(X38),complement(X38)))) = top) ) | (~spl2_588 | ~spl2_662)), 36.38/36.71 inference(superposition,[],[f16781,f11456])). 36.38/36.71 fof(f17883,plain,( 36.38/36.71 ( ! [X14] : (join(composition(join(one,X14),complement(composition(join(one,converse(X14)),top))),zero) = zero) ) | (~spl2_84 | ~spl2_602)), 36.38/36.71 inference(superposition,[],[f12379,f842])). 36.38/36.71 fof(f17900,plain,( 36.38/36.71 ( ! [X1] : (zero = composition(converse(X1),complement(composition(X1,top)))) ) | (~spl2_502 | ~spl2_602)), 36.38/36.71 inference(superposition,[],[f12379,f9311])). 36.38/36.71 fof(f17927,plain,( 36.38/36.71 ( ! [X14] : (join(composition(join(one,X14),complement(join(top,composition(converse(X14),top)))),zero) = zero) ) | (~spl2_62 | ~spl2_84 | ~spl2_132 | ~spl2_602)), 36.38/36.71 inference(forward_demodulation,[],[f17883,f1963])). 36.38/36.71 fof(f17928,plain,( 36.38/36.71 ( ! [X14] : (join(composition(join(one,X14),complement(top)),zero) = zero) ) | (~spl2_62 | ~spl2_84 | ~spl2_132 | ~spl2_410 | ~spl2_602)), 36.38/36.71 inference(forward_demodulation,[],[f17927,f7231])). 36.38/36.71 fof(f17929,plain,( 36.38/36.71 ( ! [X14] : (join(composition(join(one,X14),zero),zero) = zero) ) | (~spl2_0 | ~spl2_62 | ~spl2_84 | ~spl2_132 | ~spl2_410 | ~spl2_602)), 36.38/36.71 inference(forward_demodulation,[],[f17928,f55])). 36.38/36.71 fof(f17930,plain,( 36.38/36.71 ( ! [X14] : (join(join(zero,composition(X14,zero)),zero) = zero) ) | (~spl2_0 | ~spl2_62 | ~spl2_84 | ~spl2_132 | ~spl2_410 | ~spl2_602)), 36.38/36.71 inference(forward_demodulation,[],[f17929,f1963])). 36.38/36.71 fof(f17931,plain,( 36.38/36.71 ( ! [X14] : (join(composition(X14,zero),zero) = zero) ) | (~spl2_0 | ~spl2_62 | ~spl2_84 | ~spl2_132 | ~spl2_410 | ~spl2_500 | ~spl2_602)), 36.38/36.71 inference(forward_demodulation,[],[f17930,f9307])). 36.38/36.71 fof(f17978,plain,( 36.38/36.71 spl2_682 <=> ! [X14] : join(composition(X14,zero),zero) = zero), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_682])])). 36.38/36.71 fof(f17979,plain,( 36.38/36.71 ( ! [X14] : (join(composition(X14,zero),zero) = zero) ) | ~spl2_682), 36.38/36.71 inference(avatar_component_clause,[],[f17978])). 36.38/36.71 fof(f17980,plain,( 36.38/36.71 spl2_682 | ~spl2_0 | ~spl2_62 | ~spl2_84 | ~spl2_132 | ~spl2_410 | ~spl2_500 | ~spl2_602), 36.38/36.71 inference(avatar_split_clause,[],[f17931,f12378,f9306,f7230,f1569,f841,f624,f54,f17978])). 36.38/36.71 fof(f17992,plain,( 36.38/36.71 ( ! [X1] : (zero = composition(X1,zero)) ) | (~spl2_502 | ~spl2_682)), 36.38/36.71 inference(superposition,[],[f17979,f9311])). 36.38/36.71 fof(f18013,plain,( 36.38/36.71 ( ! [X2] : (composition(zero,converse(X2)) = converse(zero)) ) | (~spl2_502 | ~spl2_532 | ~spl2_682)), 36.38/36.71 inference(backward_demodulation,[],[f17992,f10375])). 36.38/36.71 fof(f18177,plain,( 36.38/36.71 ( ! [X2] : (zero = composition(zero,converse(X2))) ) | (~spl2_502 | ~spl2_508 | ~spl2_532 | ~spl2_682)), 36.38/36.71 inference(forward_demodulation,[],[f18013,f9612])). 36.38/36.71 fof(f18178,plain,( 36.38/36.71 ( ! [X8,X9] : (composition(converse(X9),zero) = converse(composition(X8,composition(zero,X9)))) ) | (~spl2_26 | ~spl2_46 | ~spl2_502 | ~spl2_508 | ~spl2_532 | ~spl2_682)), 36.38/36.71 inference(backward_demodulation,[],[f18177,f10718])). 36.38/36.71 fof(f18185,plain,( 36.38/36.71 ( ! [X8,X9] : (zero = converse(composition(X8,composition(zero,X9)))) ) | (~spl2_26 | ~spl2_46 | ~spl2_502 | ~spl2_508 | ~spl2_532 | ~spl2_682)), 36.38/36.71 inference(forward_demodulation,[],[f18178,f17992])). 36.38/36.71 fof(f18187,plain,( 36.38/36.71 ( ! [X21,X20] : (zero = composition(converse(X21),composition(zero,X20))) ) | (~spl2_26 | ~spl2_36 | ~spl2_46 | ~spl2_502 | ~spl2_508 | ~spl2_532 | ~spl2_534 | ~spl2_682)), 36.38/36.71 inference(backward_demodulation,[],[f18185,f10766])). 36.38/36.71 fof(f18197,plain,( 36.38/36.71 ( ! [X2] : (zero = composition(zero,X2)) ) | (~spl2_26 | ~spl2_36 | ~spl2_46 | ~spl2_502 | ~spl2_508 | ~spl2_532 | ~spl2_534 | ~spl2_646 | ~spl2_682)), 36.38/36.71 inference(backward_demodulation,[],[f18187,f15964])). 36.38/36.71 fof(f18690,plain,( 36.38/36.71 spl2_684 <=> ! [X2] : zero = composition(zero,X2)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_684])])). 36.38/36.71 fof(f18691,plain,( 36.38/36.71 ( ! [X2] : (zero = composition(zero,X2)) ) | ~spl2_684), 36.38/36.71 inference(avatar_component_clause,[],[f18690])). 36.38/36.71 fof(f18692,plain,( 36.38/36.71 spl2_684 | ~spl2_26 | ~spl2_36 | ~spl2_46 | ~spl2_502 | ~spl2_508 | ~spl2_532 | ~spl2_534 | ~spl2_646 | ~spl2_682), 36.38/36.71 inference(avatar_split_clause,[],[f18197,f17978,f15949,f10378,f10374,f9611,f9310,f274,f168,f140,f18690])). 36.38/36.71 fof(f18758,plain,( 36.38/36.71 spl2_688 <=> ! [X1] : zero = composition(X1,zero)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_688])])). 36.38/36.71 fof(f18759,plain,( 36.38/36.71 ( ! [X1] : (zero = composition(X1,zero)) ) | ~spl2_688), 36.38/36.71 inference(avatar_component_clause,[],[f18758])). 36.38/36.71 fof(f18760,plain,( 36.38/36.71 spl2_688 | ~spl2_502 | ~spl2_682), 36.38/36.71 inference(avatar_split_clause,[],[f17992,f17978,f9310,f18758])). 36.38/36.71 fof(f19901,plain,( 36.38/36.71 spl2_716 <=> ! [X2] : composition(top,converse(X2)) = converse(composition(X2,top))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_716])])). 36.38/36.71 fof(f19902,plain,( 36.38/36.71 ( ! [X2] : (composition(top,converse(X2)) = converse(composition(X2,top))) ) | ~spl2_716), 36.38/36.71 inference(avatar_component_clause,[],[f19901])). 36.38/36.71 fof(f19903,plain,( 36.38/36.71 spl2_716 | ~spl2_26 | ~spl2_402), 36.38/36.71 inference(avatar_split_clause,[],[f7109,f7103,f140,f19901])). 36.38/36.71 fof(f19929,plain,( 36.38/36.71 ( ! [X1] : (composition(X1,top) = converse(composition(top,converse(X1)))) ) | (~spl2_8 | ~spl2_716)), 36.38/36.71 inference(superposition,[],[f77,f19902])). 36.38/36.71 fof(f20027,plain,( 36.38/36.71 spl2_728 <=> ! [X3,X2] : complement(X3) = join(complement(X3),composition(converse(X2),complement(composition(X2,X3))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_728])])). 36.38/36.71 fof(f20028,plain,( 36.38/36.71 ( ! [X2,X3] : (complement(X3) = join(complement(X3),composition(converse(X2),complement(composition(X2,X3))))) ) | ~spl2_728), 36.38/36.71 inference(avatar_component_clause,[],[f20027])). 36.38/36.71 fof(f20029,plain,( 36.38/36.71 spl2_728 | ~spl2_14 | ~spl2_108), 36.38/36.71 inference(avatar_split_clause,[],[f1788,f1412,f92,f20027])). 36.38/36.71 fof(f20397,plain,( 36.38/36.71 spl2_730 <=> ! [X1] : composition(X1,top) = converse(composition(top,converse(X1)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_730])])). 36.38/36.71 fof(f20398,plain,( 36.38/36.71 ( ! [X1] : (composition(X1,top) = converse(composition(top,converse(X1)))) ) | ~spl2_730), 36.38/36.71 inference(avatar_component_clause,[],[f20397])). 36.38/36.71 fof(f20399,plain,( 36.38/36.71 spl2_730 | ~spl2_8 | ~spl2_716), 36.38/36.71 inference(avatar_split_clause,[],[f19929,f19901,f76,f20397])). 36.38/36.71 fof(f21119,plain,( 36.38/36.71 spl2_748 <=> ! [X3,X5,X4] : join(composition(X5,X4),composition(X3,X4)) = composition(join(X3,X5),X4)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_748])])). 36.38/36.71 fof(f21120,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(composition(X5,X4),composition(X3,X4)) = composition(join(X3,X5),X4)) ) | ~spl2_748), 36.38/36.71 inference(avatar_component_clause,[],[f21119])). 36.38/36.71 fof(f21121,plain,( 36.38/36.71 spl2_748 | ~spl2_14 | ~spl2_132), 36.38/36.71 inference(avatar_split_clause,[],[f1968,f1569,f92,f21119])). 36.38/36.71 fof(f30550,plain,( 36.38/36.71 spl2_862 <=> ! [X5,X4] : join(complement(join(complement(X5),complement(X4))),complement(join(complement(X4),X5))) = X4), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_862])])). 36.38/36.71 fof(f30551,plain,( 36.38/36.71 ( ! [X4,X5] : (join(complement(join(complement(X5),complement(X4))),complement(join(complement(X4),X5))) = X4) ) | ~spl2_862), 36.38/36.71 inference(avatar_component_clause,[],[f30550])). 36.38/36.71 fof(f30552,plain,( 36.38/36.71 spl2_862 | ~spl2_14 | ~spl2_196), 36.38/36.71 inference(avatar_split_clause,[],[f2703,f2294,f92,f30550])). 36.38/36.71 fof(f33791,plain,( 36.38/36.71 spl2_868 <=> join(complement(join(complement(one),complement(sK0))),zero) = sK0), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_868])])). 36.38/36.71 fof(f33792,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK0))),zero) = sK0 | ~spl2_868), 36.38/36.71 inference(avatar_component_clause,[],[f33791])). 36.38/36.71 fof(f33793,plain,( 36.38/36.71 spl2_868 | ~spl2_0 | ~spl2_10 | ~spl2_14 | ~spl2_134 | ~spl2_196 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f6978,f5841,f5699,f2978,f2744,f2294,f1584,f92,f80,f54,f33791])). 36.38/36.71 fof(f33798,plain,( 36.38/36.71 spl2_870 <=> join(complement(join(complement(one),complement(sK1))),zero) = sK1), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_870])])). 36.38/36.71 fof(f33799,plain,( 36.38/36.71 join(complement(join(complement(one),complement(sK1))),zero) = sK1 | ~spl2_870), 36.38/36.71 inference(avatar_component_clause,[],[f33798])). 36.38/36.71 fof(f33800,plain,( 36.38/36.71 spl2_870 | ~spl2_0 | ~spl2_10 | ~spl2_14 | ~spl2_138 | ~spl2_196 | ~spl2_214 | ~spl2_222 | ~spl2_360 | ~spl2_362), 36.38/36.71 inference(avatar_split_clause,[],[f6979,f5841,f5699,f2978,f2744,f2294,f1632,f92,f80,f54,f33798])). 36.38/36.71 fof(f33826,plain,( 36.38/36.71 spl2_884 <=> ! [X1,X2] : join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_884])])). 36.38/36.71 fof(f33827,plain,( 36.38/36.71 ( ! [X2,X1] : (join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1) ) | ~spl2_884), 36.38/36.71 inference(avatar_component_clause,[],[f33826])). 36.38/36.71 fof(f33828,plain,( 36.38/36.71 spl2_884 | ~spl2_14 | ~spl2_196), 36.38/36.71 inference(avatar_split_clause,[],[f2707,f2294,f92,f33826])). 36.38/36.71 fof(f33910,plain,( 36.38/36.71 spl2_926 <=> ! [X3,X2] : join(complement(join(complement(X2),X3)),complement(join(complement(X2),complement(X3)))) = X2), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_926])])). 36.38/36.71 fof(f33911,plain,( 36.38/36.71 ( ! [X2,X3] : (join(complement(join(complement(X2),X3)),complement(join(complement(X2),complement(X3)))) = X2) ) | ~spl2_926), 36.38/36.71 inference(avatar_component_clause,[],[f33910])). 36.38/36.71 fof(f33912,plain,( 36.38/36.71 spl2_926 | ~spl2_14 | ~spl2_196), 36.38/36.71 inference(avatar_split_clause,[],[f2716,f2294,f92,f33910])). 36.38/36.71 fof(f34512,plain,( 36.38/36.71 complement(join(complement(one),complement(sK0))) = sK0 | (~spl2_496 | ~spl2_868)), 36.38/36.71 inference(superposition,[],[f33792,f9140])). 36.38/36.71 fof(f34518,plain,( 36.38/36.71 join(complement(one),complement(sK0)) = join(complement(join(complement(join(complement(one),complement(sK0))),complement(zero))),complement(sK0)) | (~spl2_196 | ~spl2_868)), 36.38/36.71 inference(superposition,[],[f2295,f33792])). 36.38/36.71 fof(f34556,plain,( 36.38/36.71 join(complement(one),complement(sK0)) = join(complement(join(complement(zero),complement(join(complement(one),complement(sK0))))),complement(sK0)) | (~spl2_14 | ~spl2_196 | ~spl2_868)), 36.38/36.71 inference(forward_demodulation,[],[f34518,f93])). 36.38/36.71 fof(f34557,plain,( 36.38/36.71 join(complement(one),complement(sK0)) = join(complement(join(complement(zero),sK0)),complement(sK0)) | (~spl2_14 | ~spl2_196 | ~spl2_496 | ~spl2_868)), 36.38/36.71 inference(forward_demodulation,[],[f34556,f34512])). 36.38/36.71 fof(f34558,plain,( 36.38/36.71 join(complement(one),complement(sK0)) = join(complement(join(sK0,complement(zero))),complement(sK0)) | (~spl2_14 | ~spl2_196 | ~spl2_496 | ~spl2_868)), 36.38/36.71 inference(forward_demodulation,[],[f34557,f93])). 36.38/36.71 fof(f34559,plain,( 36.38/36.71 join(complement(one),complement(sK0)) = join(complement(join(sK0,top)),complement(sK0)) | (~spl2_14 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_868)), 36.38/36.71 inference(forward_demodulation,[],[f34558,f9253])). 36.38/36.71 fof(f34560,plain,( 36.38/36.71 join(complement(top),complement(sK0)) = join(complement(one),complement(sK0)) | (~spl2_14 | ~spl2_96 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_868)), 36.38/36.71 inference(forward_demodulation,[],[f34559,f1339])). 36.38/36.71 fof(f34561,plain,( 36.38/36.71 join(zero,complement(sK0)) = join(complement(one),complement(sK0)) | (~spl2_0 | ~spl2_14 | ~spl2_96 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_868)), 36.38/36.71 inference(forward_demodulation,[],[f34560,f55])). 36.38/36.71 fof(f34562,plain,( 36.38/36.71 complement(sK0) = join(complement(one),complement(sK0)) | (~spl2_0 | ~spl2_14 | ~spl2_96 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_500 | ~spl2_868)), 36.38/36.71 inference(forward_demodulation,[],[f34561,f9307])). 36.38/36.71 fof(f34621,plain,( 36.38/36.71 spl2_950 <=> complement(sK0) = join(complement(one),complement(sK0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_950])])). 36.38/36.71 fof(f34622,plain,( 36.38/36.71 complement(sK0) = join(complement(one),complement(sK0)) | ~spl2_950), 36.38/36.71 inference(avatar_component_clause,[],[f34621])). 36.38/36.71 fof(f34623,plain,( 36.38/36.71 spl2_950 | ~spl2_0 | ~spl2_14 | ~spl2_96 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_500 | ~spl2_868), 36.38/36.71 inference(avatar_split_clause,[],[f34562,f33791,f9306,f9252,f9139,f2294,f1338,f92,f54,f34621])). 36.38/36.71 fof(f35499,plain,( 36.38/36.71 complement(join(complement(one),complement(sK1))) = sK1 | (~spl2_496 | ~spl2_870)), 36.38/36.71 inference(superposition,[],[f33799,f9140])). 36.38/36.71 fof(f35505,plain,( 36.38/36.71 join(complement(one),complement(sK1)) = join(complement(join(complement(join(complement(one),complement(sK1))),complement(zero))),complement(sK1)) | (~spl2_196 | ~spl2_870)), 36.38/36.71 inference(superposition,[],[f2295,f33799])). 36.38/36.71 fof(f35543,plain,( 36.38/36.71 join(complement(one),complement(sK1)) = join(complement(join(complement(zero),complement(join(complement(one),complement(sK1))))),complement(sK1)) | (~spl2_14 | ~spl2_196 | ~spl2_870)), 36.38/36.71 inference(forward_demodulation,[],[f35505,f93])). 36.38/36.71 fof(f35544,plain,( 36.38/36.71 join(complement(one),complement(sK1)) = join(complement(join(complement(zero),sK1)),complement(sK1)) | (~spl2_14 | ~spl2_196 | ~spl2_496 | ~spl2_870)), 36.38/36.71 inference(forward_demodulation,[],[f35543,f35499])). 36.38/36.71 fof(f35545,plain,( 36.38/36.71 join(complement(one),complement(sK1)) = join(complement(join(sK1,complement(zero))),complement(sK1)) | (~spl2_14 | ~spl2_196 | ~spl2_496 | ~spl2_870)), 36.38/36.71 inference(forward_demodulation,[],[f35544,f93])). 36.38/36.71 fof(f35546,plain,( 36.38/36.71 join(complement(one),complement(sK1)) = join(complement(join(sK1,top)),complement(sK1)) | (~spl2_14 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_870)), 36.38/36.71 inference(forward_demodulation,[],[f35545,f9253])). 36.38/36.71 fof(f35547,plain,( 36.38/36.71 join(complement(top),complement(sK1)) = join(complement(one),complement(sK1)) | (~spl2_14 | ~spl2_110 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_870)), 36.38/36.71 inference(forward_demodulation,[],[f35546,f1446])). 36.38/36.71 fof(f35548,plain,( 36.38/36.71 join(zero,complement(sK1)) = join(complement(one),complement(sK1)) | (~spl2_0 | ~spl2_14 | ~spl2_110 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_870)), 36.38/36.71 inference(forward_demodulation,[],[f35547,f55])). 36.38/36.71 fof(f35549,plain,( 36.38/36.71 complement(sK1) = join(complement(one),complement(sK1)) | (~spl2_0 | ~spl2_14 | ~spl2_110 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_500 | ~spl2_870)), 36.38/36.71 inference(forward_demodulation,[],[f35548,f9307])). 36.38/36.71 fof(f35608,plain,( 36.38/36.71 spl2_962 <=> complement(sK1) = join(complement(one),complement(sK1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_962])])). 36.38/36.71 fof(f35609,plain,( 36.38/36.71 complement(sK1) = join(complement(one),complement(sK1)) | ~spl2_962), 36.38/36.71 inference(avatar_component_clause,[],[f35608])). 36.38/36.71 fof(f35610,plain,( 36.38/36.71 spl2_962 | ~spl2_0 | ~spl2_14 | ~spl2_110 | ~spl2_196 | ~spl2_496 | ~spl2_498 | ~spl2_500 | ~spl2_870), 36.38/36.71 inference(avatar_split_clause,[],[f35549,f33798,f9306,f9252,f9139,f2294,f1445,f92,f54,f35608])). 36.38/36.71 fof(f41954,plain,( 36.38/36.71 ( ! [X10,X9] : (join(complement(X9),complement(X10)) = join(complement(X10),complement(join(join(complement(X10),X9),complement(join(complement(X9),complement(X10))))))) ) | (~spl2_862 | ~spl2_884)), 36.38/36.71 inference(superposition,[],[f33827,f30551])). 36.38/36.71 fof(f41955,plain,( 36.38/36.71 ( ! [X12,X11] : (join(complement(X11),complement(X12)) = join(complement(X11),complement(join(join(X12,complement(X11)),complement(join(complement(X11),complement(X12))))))) ) | ~spl2_884), 36.38/36.71 inference(superposition,[],[f33827,f33827])). 36.38/36.71 fof(f41974,plain,( 36.38/36.71 ( ! [X12,X13] : (join(X13,complement(X12)) = join(complement(join(complement(join(X13,complement(X12))),complement(complement(join(complement(X12),complement(X13)))))),complement(X12))) ) | ~spl2_884), 36.38/36.71 inference(superposition,[],[f33827,f33827])). 36.38/36.71 fof(f42100,plain,( 36.38/36.71 ( ! [X10,X9] : (join(complement(X9),complement(X10)) = join(complement(X10),complement(join(complement(X10),join(X9,complement(join(complement(X9),complement(X10)))))))) ) | (~spl2_66 | ~spl2_862 | ~spl2_884)), 36.38/36.71 inference(forward_demodulation,[],[f41954,f639])). 36.38/36.71 fof(f42101,plain,( 36.38/36.71 ( ! [X12,X11] : (join(complement(X11),complement(X12)) = join(complement(X11),complement(join(X12,join(complement(X11),complement(join(complement(X11),complement(X12)))))))) ) | (~spl2_66 | ~spl2_884)), 36.38/36.71 inference(forward_demodulation,[],[f41955,f639])). 36.38/36.71 fof(f42145,plain,( 36.38/36.71 ( ! [X12,X13] : (join(X13,complement(X12)) = join(complement(join(complement(join(X13,complement(X12))),join(complement(X12),complement(X13)))),complement(X12))) ) | (~spl2_510 | ~spl2_884)), 36.38/36.71 inference(forward_demodulation,[],[f41974,f9945])). 36.38/36.71 fof(f42146,plain,( 36.38/36.71 ( ! [X12,X13] : (join(X13,complement(X12)) = join(complement(join(complement(X13),join(complement(join(X13,complement(X12))),complement(X12)))),complement(X12))) ) | (~spl2_510 | ~spl2_556 | ~spl2_884)), 36.38/36.71 inference(forward_demodulation,[],[f42145,f11078])). 36.38/36.71 fof(f42147,plain,( 36.38/36.71 ( ! [X12,X13] : (join(X13,complement(X12)) = join(complement(join(complement(X13),join(complement(X12),complement(join(X13,complement(X12)))))),complement(X12))) ) | (~spl2_14 | ~spl2_510 | ~spl2_556 | ~spl2_884)), 36.38/36.71 inference(forward_demodulation,[],[f42146,f93])). 36.38/36.71 fof(f54739,plain,( 36.38/36.71 spl2_1088 <=> ! [X1,X0,X2] : join(complement(X1),X2) = join(composition(converse(X0),complement(composition(X0,X1))),join(complement(X1),X2))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1088])])). 36.38/36.71 fof(f54740,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(X1),X2) = join(composition(converse(X0),complement(composition(X0,X1))),join(complement(X1),X2))) ) | ~spl2_1088), 36.38/36.71 inference(avatar_component_clause,[],[f54739])). 36.38/36.71 fof(f54741,plain,( 36.38/36.71 spl2_1088 | ~spl2_66 | ~spl2_108), 36.38/36.71 inference(avatar_split_clause,[],[f1790,f1412,f638,f54739])). 36.38/36.71 fof(f73653,plain,( 36.38/36.71 spl2_1222 <=> ! [X1] : zero = composition(converse(X1),complement(composition(X1,top)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1222])])). 36.38/36.71 fof(f73654,plain,( 36.38/36.71 ( ! [X1] : (zero = composition(converse(X1),complement(composition(X1,top)))) ) | ~spl2_1222), 36.38/36.71 inference(avatar_component_clause,[],[f73653])). 36.38/36.71 fof(f73655,plain,( 36.38/36.71 spl2_1222 | ~spl2_502 | ~spl2_602), 36.38/36.71 inference(avatar_split_clause,[],[f17900,f12378,f9310,f73653])). 36.38/36.71 fof(f76326,plain,( 36.38/36.71 ( ! [X34] : (complement(sK0) = join(composition(converse(X34),complement(composition(X34,one))),complement(sK0))) ) | (~spl2_950 | ~spl2_1088)), 36.38/36.71 inference(superposition,[],[f54740,f34622])). 36.38/36.71 fof(f76327,plain,( 36.38/36.71 ( ! [X35] : (complement(sK1) = join(composition(converse(X35),complement(composition(X35,one))),complement(sK1))) ) | (~spl2_962 | ~spl2_1088)), 36.38/36.71 inference(superposition,[],[f54740,f35609])). 36.38/36.71 fof(f76544,plain,( 36.38/36.71 ( ! [X34] : (complement(sK0) = join(composition(converse(X34),complement(X34)),complement(sK0))) ) | (~spl2_6 | ~spl2_950 | ~spl2_1088)), 36.38/36.71 inference(forward_demodulation,[],[f76326,f73])). 36.38/36.71 fof(f76545,plain,( 36.38/36.71 ( ! [X35] : (complement(sK1) = join(composition(converse(X35),complement(X35)),complement(sK1))) ) | (~spl2_6 | ~spl2_962 | ~spl2_1088)), 36.38/36.71 inference(forward_demodulation,[],[f76327,f73])). 36.38/36.71 fof(f78555,plain,( 36.38/36.71 ( ! [X9] : (composition(converse(complement(composition(X9,top))),X9) = converse(zero)) ) | (~spl2_36 | ~spl2_1222)), 36.38/36.71 inference(superposition,[],[f169,f73654])). 36.38/36.71 fof(f78634,plain,( 36.38/36.71 ( ! [X9] : (zero = composition(converse(complement(composition(X9,top))),X9)) ) | (~spl2_36 | ~spl2_508 | ~spl2_1222)), 36.38/36.71 inference(forward_demodulation,[],[f78555,f9612])). 36.38/36.71 fof(f78675,plain,( 36.38/36.71 spl2_1228 <=> ! [X9] : zero = composition(converse(complement(composition(X9,top))),X9)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1228])])). 36.38/36.71 fof(f78676,plain,( 36.38/36.71 ( ! [X9] : (zero = composition(converse(complement(composition(X9,top))),X9)) ) | ~spl2_1228), 36.38/36.71 inference(avatar_component_clause,[],[f78675])). 36.38/36.71 fof(f78677,plain,( 36.38/36.71 spl2_1228 | ~spl2_36 | ~spl2_508 | ~spl2_1222), 36.38/36.71 inference(avatar_split_clause,[],[f78634,f73653,f9611,f168,f78675])). 36.38/36.71 fof(f78695,plain,( 36.38/36.71 ( ! [X8,X7] : (composition(zero,X8) = composition(converse(complement(composition(X7,top))),composition(X7,X8))) ) | (~spl2_46 | ~spl2_1228)), 36.38/36.71 inference(superposition,[],[f275,f78676])). 36.38/36.71 fof(f78753,plain,( 36.38/36.71 ( ! [X8,X7] : (zero = composition(converse(complement(composition(X7,top))),composition(X7,X8))) ) | (~spl2_46 | ~spl2_684 | ~spl2_1228)), 36.38/36.71 inference(forward_demodulation,[],[f78695,f18691])). 36.38/36.71 fof(f82154,plain,( 36.38/36.71 spl2_1248 <=> ! [X5,X6] : join(X5,X6) = join(X5,join(X5,X6))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1248])])). 36.38/36.71 fof(f82155,plain,( 36.38/36.71 ( ! [X6,X5] : (join(X5,X6) = join(X5,join(X5,X6))) ) | ~spl2_1248), 36.38/36.71 inference(avatar_component_clause,[],[f82154])). 36.38/36.71 fof(f82156,plain,( 36.38/36.71 spl2_1248 | ~spl2_66 | ~spl2_512), 36.38/36.71 inference(avatar_split_clause,[],[f10038,f10009,f638,f82154])). 36.38/36.71 fof(f82158,plain,( 36.38/36.71 spl2_1250 <=> ! [X1,X0] : join(X0,X1) = join(X1,join(X0,X1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1250])])). 36.38/36.71 fof(f82159,plain,( 36.38/36.71 ( ! [X0,X1] : (join(X0,X1) = join(X1,join(X0,X1))) ) | ~spl2_1250), 36.38/36.71 inference(avatar_component_clause,[],[f82158])). 36.38/36.71 fof(f82160,plain,( 36.38/36.71 spl2_1250 | ~spl2_66 | ~spl2_512 | ~spl2_538), 36.38/36.71 inference(avatar_split_clause,[],[f13584,f10386,f10009,f638,f82158])). 36.38/36.71 fof(f82187,plain,( 36.38/36.71 ( ! [X37,X36] : (join(complement(join(complement(X36),complement(X37))),X36) = X36) ) | (~spl2_196 | ~spl2_1248)), 36.38/36.71 inference(superposition,[],[f82155,f2295])). 36.38/36.71 fof(f82192,plain,( 36.38/36.71 ( ! [X48,X49] : (join(complement(join(complement(X48),X49)),X48) = X48) ) | (~spl2_926 | ~spl2_1248)), 36.38/36.71 inference(superposition,[],[f82155,f33911])). 36.38/36.71 fof(f83086,plain,( 36.38/36.71 ( ! [X47,X46] : (join(complement(join(X47,complement(X46))),X46) = X46) ) | (~spl2_884 | ~spl2_1250)), 36.38/36.71 inference(superposition,[],[f82159,f33827])). 36.38/36.71 fof(f85201,plain,( 36.38/36.71 spl2_1254 <=> ! [X49,X48] : join(complement(join(complement(X48),X49)),X48) = X48), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1254])])). 36.38/36.71 fof(f85202,plain,( 36.38/36.71 ( ! [X48,X49] : (join(complement(join(complement(X48),X49)),X48) = X48) ) | ~spl2_1254), 36.38/36.71 inference(avatar_component_clause,[],[f85201])). 36.38/36.71 fof(f85203,plain,( 36.38/36.71 spl2_1254 | ~spl2_926 | ~spl2_1248), 36.38/36.71 inference(avatar_split_clause,[],[f82192,f82154,f33910,f85201])). 36.38/36.71 fof(f85213,plain,( 36.38/36.71 spl2_1260 <=> ! [X46,X47] : join(complement(join(X47,complement(X46))),X46) = X46), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1260])])). 36.38/36.71 fof(f85214,plain,( 36.38/36.71 ( ! [X47,X46] : (join(complement(join(X47,complement(X46))),X46) = X46) ) | ~spl2_1260), 36.38/36.71 inference(avatar_component_clause,[],[f85213])). 36.38/36.71 fof(f85215,plain,( 36.38/36.71 spl2_1260 | ~spl2_884 | ~spl2_1250), 36.38/36.71 inference(avatar_split_clause,[],[f83086,f82158,f33826,f85213])). 36.38/36.71 fof(f85319,plain,( 36.38/36.71 ( ! [X2,X3] : (join(X2,complement(join(complement(X2),X3))) = X2) ) | (~spl2_14 | ~spl2_1254)), 36.38/36.71 inference(superposition,[],[f85202,f93])). 36.38/36.71 fof(f85679,plain,( 36.38/36.71 ( ! [X10,X9] : (join(complement(X9),complement(X10)) = join(complement(X10),complement(join(complement(X10),X9)))) ) | (~spl2_14 | ~spl2_66 | ~spl2_862 | ~spl2_884 | ~spl2_1254)), 36.38/36.71 inference(backward_demodulation,[],[f85319,f42100])). 36.38/36.71 fof(f85693,plain,( 36.38/36.71 ( ! [X12,X11] : (join(complement(X11),complement(X12)) = join(complement(X11),complement(join(X12,join(complement(complement(X12)),complement(X11)))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_862 | ~spl2_884 | ~spl2_1254)), 36.38/36.71 inference(backward_demodulation,[],[f85679,f42101])). 36.38/36.71 fof(f85705,plain,( 36.38/36.71 ( ! [X12,X11] : (join(complement(X11),complement(X12)) = join(complement(X11),complement(join(X12,join(X12,complement(X11)))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_510 | ~spl2_862 | ~spl2_884 | ~spl2_1254)), 36.38/36.71 inference(forward_demodulation,[],[f85693,f9945])). 36.38/36.71 fof(f85706,plain,( 36.38/36.71 ( ! [X12,X11] : (join(complement(X11),complement(X12)) = join(complement(X11),complement(join(X12,complement(X11))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_510 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1254)), 36.38/36.71 inference(forward_demodulation,[],[f85705,f82155])). 36.38/36.71 fof(f85711,plain,( 36.38/36.71 ( ! [X12,X13] : (join(X13,complement(X12)) = join(complement(join(complement(X13),join(complement(X12),complement(X13)))),complement(X12))) ) | (~spl2_14 | ~spl2_66 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1254)), 36.38/36.71 inference(backward_demodulation,[],[f85706,f42147])). 36.38/36.71 fof(f85717,plain,( 36.38/36.71 ( ! [X12,X13] : (join(X13,complement(X12)) = join(complement(join(complement(X12),complement(X13))),complement(X12))) ) | (~spl2_14 | ~spl2_66 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254)), 36.38/36.71 inference(forward_demodulation,[],[f85711,f82159])). 36.38/36.71 fof(f96913,plain,( 36.38/36.71 spl2_1358 <=> ! [X1,X0,X2] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1358])])). 36.38/36.71 fof(f96914,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2))) ) | ~spl2_1358), 36.38/36.71 inference(avatar_component_clause,[],[f96913])). 36.38/36.71 fof(f96915,plain,( 36.38/36.71 spl2_1358 | ~spl2_66 | ~spl2_196), 36.38/36.71 inference(avatar_split_clause,[],[f2718,f2294,f638,f96913])). 36.38/36.71 fof(f98795,plain,( 36.38/36.71 ( ! [X4,X2,X3] : (join(join(complement(X2),complement(X3)),X4) = join(complement(X2),join(complement(join(complement(join(complement(X2),complement(X3))),join(complement(X2),X3))),X4))) ) | (~spl2_196 | ~spl2_1358)), 36.38/36.71 inference(superposition,[],[f96914,f2295])). 36.38/36.71 fof(f98936,plain,( 36.38/36.71 ( ! [X23,X22] : (join(X22,complement(join(complement(X23),X22))) = join(complement(join(complement(X22),complement(complement(X23)))),X23)) ) | (~spl2_862 | ~spl2_1358)), 36.38/36.71 inference(superposition,[],[f96914,f30551])). 36.38/36.71 fof(f98937,plain,( 36.38/36.71 ( ! [X24,X25] : (join(X24,complement(join(X25,complement(X24)))) = join(complement(join(complement(X24),complement(complement(X25)))),X24)) ) | (~spl2_884 | ~spl2_1358)), 36.38/36.71 inference(superposition,[],[f96914,f33827])). 36.38/36.71 fof(f99082,plain,( 36.38/36.71 ( ! [X4,X2,X3] : (join(join(complement(X2),complement(X3)),X4) = join(complement(X2),join(complement(join(X3,join(complement(join(complement(X2),complement(X3))),complement(X2)))),X4))) ) | (~spl2_196 | ~spl2_556 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f98795,f11078])). 36.38/36.71 fof(f99083,plain,( 36.38/36.71 ( ! [X4,X2,X3] : (join(join(complement(X2),complement(X3)),X4) = join(complement(X2),join(complement(join(X3,join(X3,complement(X2)))),X4))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f99082,f85717])). 36.38/36.71 fof(f99084,plain,( 36.38/36.71 ( ! [X4,X2,X3] : (join(join(complement(X2),complement(X3)),X4) = join(complement(X2),join(complement(join(X3,complement(X2))),X4))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f99083,f82155])). 36.38/36.71 fof(f99085,plain,( 36.38/36.71 ( ! [X4,X2,X3] : (join(complement(X2),join(complement(X3),X4)) = join(complement(X2),join(complement(join(X3,complement(X2))),X4))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f99084,f639])). 36.38/36.71 fof(f99086,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))),complement(join(complement(X2),join(complement(complement(composition(X0,X1))),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(backward_demodulation,[],[f99085,f9174])). 36.38/36.71 fof(f99087,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(X5),join(complement(complement(composition(X3,X4))),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(backward_demodulation,[],[f99085,f9230])). 36.38/36.71 fof(f99088,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))),complement(join(complement(X2),join(complement(complement(composition(X0,X1))),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_260 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(backward_demodulation,[],[f99085,f9176])). 36.38/36.71 fof(f99090,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))),complement(join(complement(X2),join(composition(X0,X1),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f99086,f9945])). 36.38/36.71 fof(f99091,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(X5),join(composition(X3,X4),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f99087,f9945])). 36.38/36.71 fof(f99092,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))),complement(join(complement(X2),join(composition(X0,X1),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_260 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f99088,f9945])). 36.38/36.71 fof(f99418,plain,( 36.38/36.71 ( ! [X23,X22] : (join(X22,complement(join(complement(X23),X22))) = join(complement(join(complement(X22),X23)),X23)) ) | (~spl2_510 | ~spl2_862 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f98936,f9945])). 36.38/36.71 fof(f99419,plain,( 36.38/36.71 ( ! [X24,X25] : (join(X24,complement(join(X25,complement(X24)))) = X24) ) | (~spl2_196 | ~spl2_884 | ~spl2_1248 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f98937,f82187])). 36.38/36.71 fof(f99421,plain,( 36.38/36.71 ( ! [X6,X5] : (join(complement(X5),complement(X6)) = join(complement(join(complement(X5),X6)),complement(X5))) ) | (~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_496 | ~spl2_884 | ~spl2_1248 | ~spl2_1358)), 36.38/36.71 inference(backward_demodulation,[],[f99419,f9228])). 36.38/36.71 fof(f101768,plain,( 36.38/36.71 spl2_1400 <=> ! [X5,X6] : join(complement(X5),complement(X6)) = join(complement(join(complement(X5),X6)),complement(X5))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1400])])). 36.38/36.71 fof(f101769,plain,( 36.38/36.71 ( ! [X6,X5] : (join(complement(X5),complement(X6)) = join(complement(join(complement(X5),X6)),complement(X5))) ) | ~spl2_1400), 36.38/36.71 inference(avatar_component_clause,[],[f101768])). 36.38/36.71 fof(f101770,plain,( 36.38/36.71 spl2_1400 | ~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_496 | ~spl2_884 | ~spl2_1248 | ~spl2_1358), 36.38/36.71 inference(avatar_split_clause,[],[f99421,f96913,f82154,f33826,f9139,f2752,f2294,f638,f92,f101768])). 36.38/36.71 fof(f104660,plain,( 36.38/36.71 ( ! [X33,X32] : (join(complement(top),complement(X32)) = join(complement(X32),complement(join(X33,X32)))) ) | (~spl2_658 | ~spl2_1400)), 36.38/36.71 inference(superposition,[],[f101769,f16255])). 36.38/36.71 fof(f104746,plain,( 36.38/36.71 join(complement(top),complement(converse(sK0))) = join(complement(converse(sK0)),complement(one)) | (~spl2_440 | ~spl2_1400)), 36.38/36.71 inference(superposition,[],[f101769,f7680])). 36.38/36.71 fof(f104747,plain,( 36.38/36.71 join(complement(top),complement(converse(sK1))) = join(complement(converse(sK1)),complement(one)) | (~spl2_442 | ~spl2_1400)), 36.38/36.71 inference(superposition,[],[f101769,f7687])). 36.38/36.71 fof(f104912,plain,( 36.38/36.71 ( ! [X33,X32] : (join(zero,complement(X32)) = join(complement(X32),complement(join(X33,X32)))) ) | (~spl2_0 | ~spl2_658 | ~spl2_1400)), 36.38/36.71 inference(forward_demodulation,[],[f104660,f55])). 36.38/36.71 fof(f104913,plain,( 36.38/36.71 ( ! [X33,X32] : (complement(X32) = join(complement(X32),complement(join(X33,X32)))) ) | (~spl2_0 | ~spl2_500 | ~spl2_658 | ~spl2_1400)), 36.38/36.71 inference(forward_demodulation,[],[f104912,f9307])). 36.38/36.71 fof(f105253,plain,( 36.38/36.71 join(zero,complement(converse(sK0))) = join(complement(converse(sK0)),complement(one)) | (~spl2_0 | ~spl2_440 | ~spl2_1400)), 36.38/36.71 inference(forward_demodulation,[],[f104746,f55])). 36.38/36.71 fof(f105254,plain,( 36.38/36.71 complement(converse(sK0)) = join(complement(converse(sK0)),complement(one)) | (~spl2_0 | ~spl2_440 | ~spl2_500 | ~spl2_1400)), 36.38/36.71 inference(forward_demodulation,[],[f105253,f9307])). 36.38/36.71 fof(f105255,plain,( 36.38/36.71 join(zero,complement(converse(sK1))) = join(complement(converse(sK1)),complement(one)) | (~spl2_0 | ~spl2_442 | ~spl2_1400)), 36.38/36.71 inference(forward_demodulation,[],[f104747,f55])). 36.38/36.71 fof(f105256,plain,( 36.38/36.71 complement(converse(sK1)) = join(complement(converse(sK1)),complement(one)) | (~spl2_0 | ~spl2_442 | ~spl2_500 | ~spl2_1400)), 36.38/36.71 inference(forward_demodulation,[],[f105255,f9307])). 36.38/36.71 fof(f105313,plain,( 36.38/36.71 spl2_1454 <=> ! [X32,X33] : complement(X32) = join(complement(X32),complement(join(X33,X32)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1454])])). 36.38/36.71 fof(f105314,plain,( 36.38/36.71 ( ! [X33,X32] : (complement(X32) = join(complement(X32),complement(join(X33,X32)))) ) | ~spl2_1454), 36.38/36.71 inference(avatar_component_clause,[],[f105313])). 36.38/36.71 fof(f105315,plain,( 36.38/36.71 spl2_1454 | ~spl2_0 | ~spl2_500 | ~spl2_658 | ~spl2_1400), 36.38/36.71 inference(avatar_split_clause,[],[f104913,f101768,f16254,f9306,f54,f105313])). 36.38/36.71 fof(f105500,plain,( 36.38/36.71 ( ! [X222,X220,X221] : (complement(join(X221,X222)) = join(complement(join(X221,X222)),complement(join(X221,join(X222,X220))))) ) | (~spl2_556 | ~spl2_1454)), 36.38/36.71 inference(superposition,[],[f105314,f11078])). 36.38/36.71 fof(f105916,plain,( 36.38/36.71 ( ! [X146,X147] : (join(complement(join(X147,X146)),complement(X146)) = converse(converse(complement(X146)))) ) | (~spl2_50 | ~spl2_1454)), 36.38/36.71 inference(superposition,[],[f389,f105314])). 36.38/36.71 fof(f106365,plain,( 36.38/36.71 ( ! [X146,X147] : (complement(X146) = join(complement(join(X147,X146)),complement(X146))) ) | (~spl2_8 | ~spl2_50 | ~spl2_1454)), 36.38/36.71 inference(forward_demodulation,[],[f105916,f77])). 36.38/36.71 fof(f107921,plain,( 36.38/36.71 spl2_1464 <=> ! [X147,X146] : complement(X146) = join(complement(join(X147,X146)),complement(X146))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1464])])). 36.38/36.71 fof(f107922,plain,( 36.38/36.71 ( ! [X146,X147] : (complement(X146) = join(complement(join(X147,X146)),complement(X146))) ) | ~spl2_1464), 36.38/36.71 inference(avatar_component_clause,[],[f107921])). 36.38/36.71 fof(f107923,plain,( 36.38/36.71 spl2_1464 | ~spl2_8 | ~spl2_50 | ~spl2_1454), 36.38/36.71 inference(avatar_split_clause,[],[f106365,f105313,f388,f76,f107921])). 36.38/36.71 fof(f112872,plain,( 36.38/36.71 spl2_1486 <=> complement(converse(sK0)) = join(complement(converse(sK0)),complement(one))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1486])])). 36.38/36.71 fof(f112873,plain,( 36.38/36.71 complement(converse(sK0)) = join(complement(converse(sK0)),complement(one)) | ~spl2_1486), 36.38/36.71 inference(avatar_component_clause,[],[f112872])). 36.38/36.71 fof(f112874,plain,( 36.38/36.71 spl2_1486 | ~spl2_0 | ~spl2_440 | ~spl2_500 | ~spl2_1400), 36.38/36.71 inference(avatar_split_clause,[],[f105254,f101768,f9306,f7679,f54,f112872])). 36.38/36.71 fof(f112879,plain,( 36.38/36.71 spl2_1488 <=> complement(converse(sK1)) = join(complement(converse(sK1)),complement(one))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1488])])). 36.38/36.71 fof(f112880,plain,( 36.38/36.71 complement(converse(sK1)) = join(complement(converse(sK1)),complement(one)) | ~spl2_1488), 36.38/36.71 inference(avatar_component_clause,[],[f112879])). 36.38/36.71 fof(f112881,plain,( 36.38/36.71 spl2_1488 | ~spl2_0 | ~spl2_442 | ~spl2_500 | ~spl2_1400), 36.38/36.71 inference(avatar_split_clause,[],[f105256,f101768,f9306,f7686,f54,f112879])). 36.38/36.71 fof(f113183,plain,( 36.38/36.71 spl2_1498 <=> ! [X1,X0] : join(composition(X0,X1),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1498])])). 36.38/36.71 fof(f113184,plain,( 36.38/36.71 ( ! [X0,X1] : (join(composition(X0,X1),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))) ) | ~spl2_1498), 36.38/36.71 inference(avatar_component_clause,[],[f113183])). 36.38/36.71 fof(f113185,plain,( 36.38/36.71 spl2_1498 | ~spl2_0 | ~spl2_14 | ~spl2_214 | ~spl2_216 | ~spl2_234 | ~spl2_496), 36.38/36.71 inference(avatar_split_clause,[],[f9213,f9139,f3076,f2752,f2744,f92,f54,f113183])). 36.38/36.71 fof(f117698,plain,( 36.38/36.71 ( ! [X3] : (join(composition(X3,top),composition(X3,complement(join(zero,complement(composition(converse(X3),top)))))) = composition(X3,complement(join(zero,complement(composition(converse(X3),top)))))) ) | (~spl2_0 | ~spl2_1498)), 36.38/36.71 inference(superposition,[],[f113184,f55])). 36.38/36.71 fof(f117855,plain,( 36.38/36.71 ( ! [X3] : (join(composition(X3,top),composition(X3,complement(complement(composition(converse(X3),top))))) = composition(X3,complement(complement(composition(converse(X3),top))))) ) | (~spl2_0 | ~spl2_500 | ~spl2_1498)), 36.38/36.71 inference(forward_demodulation,[],[f117698,f9307])). 36.38/36.71 fof(f117856,plain,( 36.38/36.71 ( ! [X3] : (join(composition(X3,top),composition(X3,composition(converse(X3),top))) = composition(X3,composition(converse(X3),top))) ) | (~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1498)), 36.38/36.71 inference(forward_demodulation,[],[f117855,f9945])). 36.38/36.71 fof(f173752,plain,( 36.38/36.71 spl2_1806 <=> ! [X1,X0] : join(complement(join(complement(X0),complement(X1))),composition(complement(join(complement(X0),complement(X1))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) = composition(complement(join(complement(X0),complement(X1))),complement(join(complement(one),complement(composition(converse(X0),X1)))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1806])])). 36.38/36.71 fof(f173753,plain,( 36.38/36.71 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),composition(complement(join(complement(X0),complement(X1))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) = composition(complement(join(complement(X0),complement(X1))),complement(join(complement(one),complement(composition(converse(X0),X1)))))) ) | ~spl2_1806), 36.38/36.71 inference(avatar_component_clause,[],[f173752])). 36.38/36.71 fof(f173754,plain,( 36.38/36.71 spl2_1806 | ~spl2_6 | ~spl2_60 | ~spl2_322), 36.38/36.71 inference(avatar_split_clause,[],[f4967,f4525,f598,f72,f173752])). 36.38/36.71 fof(f180590,plain,( 36.38/36.71 ( ! [X200,X199] : (join(X199,X200) = join(complement(join(complement(X199),complement(complement(X200)))),X200)) ) | (~spl2_1260 | ~spl2_1358)), 36.38/36.71 inference(superposition,[],[f96914,f85214])). 36.38/36.71 fof(f181019,plain,( 36.38/36.71 ( ! [X200,X199] : (join(X199,X200) = join(complement(join(complement(X199),X200)),X200)) ) | (~spl2_510 | ~spl2_1260 | ~spl2_1358)), 36.38/36.71 inference(forward_demodulation,[],[f180590,f9945])). 36.38/36.71 fof(f181020,plain,( 36.38/36.71 ( ! [X23,X22] : (join(X22,X23) = join(X22,complement(join(complement(X23),X22)))) ) | (~spl2_510 | ~spl2_862 | ~spl2_1260 | ~spl2_1358)), 36.38/36.71 inference(backward_demodulation,[],[f181019,f99418])). 36.38/36.71 fof(f187462,plain,( 36.38/36.71 spl2_1816 <=> ! [X7,X8] : zero = composition(converse(complement(composition(X7,top))),composition(X7,X8))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1816])])). 36.38/36.71 fof(f187463,plain,( 36.38/36.71 ( ! [X8,X7] : (zero = composition(converse(complement(composition(X7,top))),composition(X7,X8))) ) | ~spl2_1816), 36.38/36.71 inference(avatar_component_clause,[],[f187462])). 36.38/36.71 fof(f187464,plain,( 36.38/36.71 spl2_1816 | ~spl2_46 | ~spl2_684 | ~spl2_1228), 36.38/36.71 inference(avatar_split_clause,[],[f78753,f78675,f18690,f274,f187462])). 36.38/36.71 fof(f187518,plain,( 36.38/36.71 ( ! [X0,X1] : (composition(converse(composition(X0,X1)),complement(composition(X0,top))) = converse(zero)) ) | (~spl2_36 | ~spl2_1816)), 36.38/36.71 inference(superposition,[],[f169,f187463])). 36.38/36.71 fof(f187591,plain,( 36.38/36.71 ( ! [X0,X1] : (zero = composition(converse(composition(X0,X1)),complement(composition(X0,top)))) ) | (~spl2_36 | ~spl2_508 | ~spl2_1816)), 36.38/36.71 inference(forward_demodulation,[],[f187518,f9612])). 36.38/36.71 fof(f189638,plain,( 36.38/36.71 spl2_1836 <=> ! [X1,X0] : zero = composition(converse(composition(X0,X1)),complement(composition(X0,top)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1836])])). 36.38/36.71 fof(f189639,plain,( 36.38/36.71 ( ! [X0,X1] : (zero = composition(converse(composition(X0,X1)),complement(composition(X0,top)))) ) | ~spl2_1836), 36.38/36.71 inference(avatar_component_clause,[],[f189638])). 36.38/36.71 fof(f189640,plain,( 36.38/36.71 spl2_1836 | ~spl2_36 | ~spl2_508 | ~spl2_1816), 36.38/36.71 inference(avatar_split_clause,[],[f187591,f187462,f9611,f168,f189638])). 36.38/36.71 fof(f190416,plain,( 36.38/36.71 join(complement(complement(converse(sK0))),composition(complement(complement(converse(sK0))),complement(join(complement(one),complement(composition(converse(converse(sK0)),one)))))) = composition(complement(complement(converse(sK0))),complement(join(complement(one),complement(composition(converse(converse(sK0)),one))))) | (~spl2_1486 | ~spl2_1806)), 36.38/36.71 inference(superposition,[],[f173753,f112873])). 36.38/36.71 fof(f190417,plain,( 36.38/36.71 join(complement(complement(converse(sK1))),composition(complement(complement(converse(sK1))),complement(join(complement(one),complement(composition(converse(converse(sK1)),one)))))) = composition(complement(complement(converse(sK1))),complement(join(complement(one),complement(composition(converse(converse(sK1)),one))))) | (~spl2_1488 | ~spl2_1806)), 36.38/36.71 inference(superposition,[],[f173753,f112880])). 36.38/36.71 fof(f190421,plain,( 36.38/36.71 join(complement(complement(sK1)),composition(complement(complement(sK1)),complement(join(complement(one),complement(composition(converse(one),sK1)))))) = composition(complement(complement(sK1)),complement(join(complement(one),complement(composition(converse(one),sK1))))) | (~spl2_962 | ~spl2_1806)), 36.38/36.71 inference(superposition,[],[f173753,f35609])). 36.38/36.71 fof(f190621,plain,( 36.38/36.71 join(complement(complement(converse(sK0))),composition(complement(complement(converse(sK0))),complement(join(complement(one),complement(converse(converse(sK0))))))) = composition(complement(complement(converse(sK0))),complement(join(complement(one),complement(converse(converse(sK0)))))) | (~spl2_6 | ~spl2_1486 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190416,f73])). 36.38/36.71 fof(f190622,plain,( 36.38/36.71 join(complement(complement(converse(sK0))),composition(complement(complement(converse(sK0))),complement(join(complement(one),complement(sK0))))) = composition(complement(complement(converse(sK0))),complement(join(complement(one),complement(sK0)))) | (~spl2_6 | ~spl2_8 | ~spl2_1486 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190621,f77])). 36.38/36.71 fof(f190623,plain,( 36.38/36.71 join(complement(complement(converse(sK0))),composition(complement(complement(converse(sK0))),complement(complement(sK0)))) = composition(complement(complement(converse(sK0))),complement(complement(sK0))) | (~spl2_6 | ~spl2_8 | ~spl2_950 | ~spl2_1486 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190622,f34622])). 36.38/36.71 fof(f190624,plain,( 36.38/36.71 join(complement(complement(converse(sK0))),composition(complement(complement(converse(sK0))),sK0)) = composition(complement(complement(converse(sK0))),sK0) | (~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_950 | ~spl2_1486 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190623,f9945])). 36.38/36.71 fof(f190625,plain,( 36.38/36.71 join(converse(sK0),composition(converse(sK0),sK0)) = composition(converse(sK0),sK0) | (~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_950 | ~spl2_1486 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190624,f9945])). 36.38/36.71 fof(f190626,plain,( 36.38/36.71 join(complement(complement(converse(sK1))),composition(complement(complement(converse(sK1))),complement(join(complement(one),complement(converse(converse(sK1))))))) = composition(complement(complement(converse(sK1))),complement(join(complement(one),complement(converse(converse(sK1)))))) | (~spl2_6 | ~spl2_1488 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190417,f73])). 36.38/36.71 fof(f190627,plain,( 36.38/36.71 join(complement(complement(converse(sK1))),composition(complement(complement(converse(sK1))),complement(join(complement(one),complement(sK1))))) = composition(complement(complement(converse(sK1))),complement(join(complement(one),complement(sK1)))) | (~spl2_6 | ~spl2_8 | ~spl2_1488 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190626,f77])). 36.38/36.71 fof(f190628,plain,( 36.38/36.71 join(complement(complement(converse(sK1))),composition(complement(complement(converse(sK1))),complement(complement(sK1)))) = composition(complement(complement(converse(sK1))),complement(complement(sK1))) | (~spl2_6 | ~spl2_8 | ~spl2_962 | ~spl2_1488 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190627,f35609])). 36.38/36.71 fof(f190629,plain,( 36.38/36.71 join(complement(complement(converse(sK1))),composition(complement(complement(converse(sK1))),sK1)) = composition(complement(complement(converse(sK1))),sK1) | (~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_962 | ~spl2_1488 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190628,f9945])). 36.38/36.71 fof(f190630,plain,( 36.38/36.71 join(converse(sK1),composition(converse(sK1),sK1)) = composition(converse(sK1),sK1) | (~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_962 | ~spl2_1488 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190629,f9945])). 36.38/36.71 fof(f190641,plain,( 36.38/36.71 join(complement(complement(sK1)),composition(complement(complement(sK1)),complement(join(complement(one),complement(composition(one,sK1)))))) = composition(complement(complement(sK1)),complement(join(complement(one),complement(composition(one,sK1))))) | (~spl2_60 | ~spl2_962 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190421,f599])). 36.38/36.71 fof(f190642,plain,( 36.38/36.71 join(complement(complement(sK1)),composition(complement(complement(sK1)),complement(join(complement(one),complement(sK1))))) = composition(complement(complement(sK1)),complement(join(complement(one),complement(sK1)))) | (~spl2_60 | ~spl2_62 | ~spl2_962 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190641,f625])). 36.38/36.71 fof(f190643,plain,( 36.38/36.71 join(complement(complement(sK1)),composition(complement(complement(sK1)),complement(complement(sK1)))) = composition(complement(complement(sK1)),complement(complement(sK1))) | (~spl2_60 | ~spl2_62 | ~spl2_962 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190642,f35609])). 36.38/36.71 fof(f190644,plain,( 36.38/36.71 join(sK1,composition(sK1,sK1)) = composition(sK1,sK1) | (~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_962 | ~spl2_1806)), 36.38/36.71 inference(forward_demodulation,[],[f190643,f9945])). 36.38/36.71 fof(f190801,plain,( 36.38/36.71 spl2_1842 <=> join(sK1,composition(sK1,sK1)) = composition(sK1,sK1)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1842])])). 36.38/36.71 fof(f190802,plain,( 36.38/36.71 join(sK1,composition(sK1,sK1)) = composition(sK1,sK1) | ~spl2_1842), 36.38/36.71 inference(avatar_component_clause,[],[f190801])). 36.38/36.71 fof(f190803,plain,( 36.38/36.71 spl2_1842 | ~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_962 | ~spl2_1806), 36.38/36.71 inference(avatar_split_clause,[],[f190644,f173752,f35608,f9944,f624,f598,f190801])). 36.38/36.71 fof(f191277,plain,( 36.38/36.71 join(composition(sK1,sK1),sK1) = converse(converse(composition(sK1,sK1))) | (~spl2_50 | ~spl2_1842)), 36.38/36.71 inference(superposition,[],[f389,f190802])). 36.38/36.71 fof(f191280,plain,( 36.38/36.71 ( ! [X1] : (join(composition(sK1,sK1),X1) = join(composition(sK1,sK1),join(sK1,X1))) ) | (~spl2_538 | ~spl2_1842)), 36.38/36.71 inference(superposition,[],[f10387,f190802])). 36.38/36.71 fof(f191343,plain,( 36.38/36.71 join(composition(sK1,sK1),sK1) = composition(sK1,sK1) | (~spl2_8 | ~spl2_50 | ~spl2_1842)), 36.38/36.71 inference(forward_demodulation,[],[f191277,f77])). 36.38/36.71 fof(f191741,plain,( 36.38/36.71 spl2_1854 <=> join(composition(sK1,sK1),sK1) = composition(sK1,sK1)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1854])])). 36.38/36.71 fof(f191742,plain,( 36.38/36.71 join(composition(sK1,sK1),sK1) = composition(sK1,sK1) | ~spl2_1854), 36.38/36.71 inference(avatar_component_clause,[],[f191741])). 36.38/36.71 fof(f191743,plain,( 36.38/36.71 spl2_1854 | ~spl2_8 | ~spl2_50 | ~spl2_1842), 36.38/36.71 inference(avatar_split_clause,[],[f191343,f190801,f388,f76,f191741])). 36.38/36.71 fof(f191852,plain,( 36.38/36.71 ( ! [X2] : (join(X2,composition(sK1,sK1)) = join(composition(sK1,sK1),join(sK1,X2))) ) | (~spl2_556 | ~spl2_1854)), 36.38/36.71 inference(superposition,[],[f11078,f191742])). 36.38/36.71 fof(f191894,plain,( 36.38/36.71 complement(sK1) = join(complement(composition(sK1,sK1)),complement(sK1)) | (~spl2_1464 | ~spl2_1854)), 36.38/36.71 inference(superposition,[],[f107922,f191742])). 36.38/36.71 fof(f191950,plain,( 36.38/36.71 spl2_1864 <=> ! [X5,X4,X6] : complement(join(complement(X6),complement(composition(X4,complement(join(complement(X5),complement(composition(converse(X4),X6)))))))) = join(complement(join(complement(X6),complement(composition(X4,X5)))),complement(join(complement(X6),complement(composition(X4,complement(join(complement(X5),complement(composition(converse(X4),X6)))))))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1864])])). 36.38/36.71 fof(f191951,plain,( 36.38/36.71 ( ! [X6,X4,X5] : (complement(join(complement(X6),complement(composition(X4,complement(join(complement(X5),complement(composition(converse(X4),X6)))))))) = join(complement(join(complement(X6),complement(composition(X4,X5)))),complement(join(complement(X6),complement(composition(X4,complement(join(complement(X5),complement(composition(converse(X4),X6)))))))))) ) | ~spl2_1864), 36.38/36.71 inference(avatar_component_clause,[],[f191950])). 36.38/36.71 fof(f191952,plain,( 36.38/36.71 spl2_1864 | ~spl2_14 | ~spl2_234), 36.38/36.71 inference(avatar_split_clause,[],[f3660,f3076,f92,f191950])). 36.38/36.71 fof(f195741,plain,( 36.38/36.71 spl2_1924 <=> complement(sK1) = join(complement(composition(sK1,sK1)),complement(sK1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1924])])). 36.38/36.71 fof(f195742,plain,( 36.38/36.71 complement(sK1) = join(complement(composition(sK1,sK1)),complement(sK1)) | ~spl2_1924), 36.38/36.71 inference(avatar_component_clause,[],[f195741])). 36.38/36.71 fof(f195743,plain,( 36.38/36.71 spl2_1924 | ~spl2_1464 | ~spl2_1854), 36.38/36.71 inference(avatar_split_clause,[],[f191894,f191741,f107921,f195741])). 36.38/36.71 fof(f198268,plain,( 36.38/36.71 ( ! [X16] : (join(composition(sK1,sK1),X16) = join(complement(join(complement(composition(sK1,sK1)),complement(complement(sK1)))),join(complement(complement(sK1)),X16))) ) | (~spl2_1358 | ~spl2_1924)), 36.38/36.71 inference(superposition,[],[f96914,f195742])). 36.38/36.71 fof(f198380,plain,( 36.38/36.71 ( ! [X16] : (join(composition(sK1,sK1),X16) = join(complement(join(complement(composition(sK1,sK1)),sK1)),join(sK1,X16))) ) | (~spl2_510 | ~spl2_1358 | ~spl2_1924)), 36.38/36.71 inference(forward_demodulation,[],[f198268,f9945])). 36.38/36.71 fof(f198381,plain,( 36.38/36.71 ( ! [X16] : (join(composition(sK1,sK1),X16) = join(complement(join(sK1,complement(composition(sK1,sK1)))),join(sK1,X16))) ) | (~spl2_14 | ~spl2_510 | ~spl2_1358 | ~spl2_1924)), 36.38/36.71 inference(forward_demodulation,[],[f198380,f93])). 36.38/36.71 fof(f200446,plain,( 36.38/36.71 ( ! [X64,X63] : (complement(join(complement(X64),complement(composition(one,complement(join(complement(X63),complement(composition(converse(one),X64)))))))) = join(complement(join(complement(X64),complement(X63))),complement(join(complement(X64),complement(composition(one,complement(join(complement(X63),complement(composition(converse(one),X64)))))))))) ) | (~spl2_62 | ~spl2_1864)), 36.38/36.71 inference(superposition,[],[f191951,f625])). 36.38/36.71 fof(f200733,plain,( 36.38/36.71 ( ! [X64,X63] : (complement(join(complement(X64),complement(complement(join(complement(X63),complement(composition(converse(one),X64))))))) = join(complement(join(complement(X64),complement(X63))),complement(join(complement(X64),complement(complement(join(complement(X63),complement(composition(converse(one),X64))))))))) ) | (~spl2_62 | ~spl2_1864)), 36.38/36.71 inference(forward_demodulation,[],[f200446,f625])). 36.38/36.71 fof(f200734,plain,( 36.38/36.71 ( ! [X64,X63] : (complement(join(complement(X64),join(complement(X63),complement(composition(converse(one),X64))))) = join(complement(join(complement(X64),complement(X63))),complement(join(complement(X64),join(complement(X63),complement(composition(converse(one),X64))))))) ) | (~spl2_62 | ~spl2_510 | ~spl2_1864)), 36.38/36.71 inference(forward_demodulation,[],[f200733,f9945])). 36.38/36.71 fof(f200735,plain,( 36.38/36.71 ( ! [X64,X63] : (complement(join(complement(X64),complement(X63))) = complement(join(complement(X64),join(complement(X63),complement(composition(converse(one),X64)))))) ) | (~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_1454 | ~spl2_1864)), 36.38/36.71 inference(forward_demodulation,[],[f200734,f105500])). 36.38/36.71 fof(f200736,plain,( 36.38/36.71 ( ! [X64,X63] : (complement(join(complement(X64),complement(X63))) = complement(join(complement(X64),join(complement(X63),complement(composition(one,X64)))))) ) | (~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_1454 | ~spl2_1864)), 36.38/36.71 inference(forward_demodulation,[],[f200735,f599])). 36.38/36.71 fof(f200737,plain,( 36.38/36.71 ( ! [X64,X63] : (complement(join(complement(X64),complement(X63))) = complement(join(complement(X64),join(complement(X63),complement(X64))))) ) | (~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_1454 | ~spl2_1864)), 36.38/36.71 inference(forward_demodulation,[],[f200736,f625])). 36.38/36.71 fof(f200738,plain,( 36.38/36.71 ( ! [X64,X63] : (complement(join(complement(X63),complement(X64))) = complement(join(complement(X64),complement(X63)))) ) | (~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_1250 | ~spl2_1454 | ~spl2_1864)), 36.38/36.71 inference(forward_demodulation,[],[f200737,f82159])). 36.38/36.71 fof(f208996,plain,( 36.38/36.71 ( ! [X45,X46] : (complement(complement(composition(X45,top))) = join(complement(complement(composition(X45,top))),composition(converse(converse(composition(X45,X46))),complement(zero)))) ) | (~spl2_728 | ~spl2_1836)), 36.38/36.71 inference(superposition,[],[f20028,f189639])). 36.38/36.71 fof(f209186,plain,( 36.38/36.71 ( ! [X45,X46] : (complement(complement(composition(X45,top))) = join(complement(complement(composition(X45,top))),composition(converse(converse(composition(X45,X46))),top))) ) | (~spl2_498 | ~spl2_728 | ~spl2_1836)), 36.38/36.71 inference(forward_demodulation,[],[f208996,f9253])). 36.38/36.71 fof(f209187,plain,( 36.38/36.71 ( ! [X45,X46] : (complement(complement(composition(X45,top))) = join(complement(complement(composition(X45,top))),composition(composition(X45,X46),top))) ) | (~spl2_8 | ~spl2_498 | ~spl2_728 | ~spl2_1836)), 36.38/36.71 inference(forward_demodulation,[],[f209186,f77])). 36.38/36.71 fof(f209188,plain,( 36.38/36.71 ( ! [X45,X46] : (complement(complement(composition(X45,top))) = join(complement(complement(composition(X45,top))),composition(X45,composition(X46,top)))) ) | (~spl2_8 | ~spl2_46 | ~spl2_498 | ~spl2_728 | ~spl2_1836)), 36.38/36.71 inference(forward_demodulation,[],[f209187,f275])). 36.38/36.71 fof(f209189,plain,( 36.38/36.71 ( ! [X45,X46] : (join(composition(X45,top),composition(X45,composition(X46,top))) = composition(X45,top)) ) | (~spl2_8 | ~spl2_46 | ~spl2_498 | ~spl2_510 | ~spl2_728 | ~spl2_1836)), 36.38/36.71 inference(forward_demodulation,[],[f209188,f9945])). 36.38/36.71 fof(f209190,plain,( 36.38/36.71 ( ! [X3] : (composition(X3,top) = composition(X3,composition(converse(X3),top))) ) | (~spl2_0 | ~spl2_8 | ~spl2_46 | ~spl2_498 | ~spl2_500 | ~spl2_510 | ~spl2_728 | ~spl2_1498 | ~spl2_1836)), 36.38/36.71 inference(backward_demodulation,[],[f209189,f117856])). 36.38/36.71 fof(f209262,plain,( 36.38/36.71 spl2_1998 <=> ! [X3] : composition(X3,top) = composition(X3,composition(converse(X3),top))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_1998])])). 36.38/36.71 fof(f209263,plain,( 36.38/36.71 ( ! [X3] : (composition(X3,top) = composition(X3,composition(converse(X3),top))) ) | ~spl2_1998), 36.38/36.71 inference(avatar_component_clause,[],[f209262])). 36.38/36.71 fof(f209264,plain,( 36.38/36.71 spl2_1998 | ~spl2_0 | ~spl2_8 | ~spl2_46 | ~spl2_498 | ~spl2_500 | ~spl2_510 | ~spl2_728 | ~spl2_1498 | ~spl2_1836), 36.38/36.71 inference(avatar_split_clause,[],[f209190,f189638,f113183,f20027,f9944,f9306,f9252,f274,f76,f54,f209262])). 36.38/36.71 fof(f209359,plain,( 36.38/36.71 ( ! [X79] : (composition(converse(composition(converse(converse(X79)),top)),X79) = converse(composition(converse(X79),top))) ) | (~spl2_36 | ~spl2_1998)), 36.38/36.71 inference(superposition,[],[f169,f209263])). 36.38/36.71 fof(f209520,plain,( 36.38/36.71 ( ! [X79] : (composition(top,converse(converse(X79))) = composition(converse(composition(converse(converse(X79)),top)),X79)) ) | (~spl2_36 | ~spl2_716 | ~spl2_1998)), 36.38/36.71 inference(forward_demodulation,[],[f209359,f19902])). 36.38/36.71 fof(f209521,plain,( 36.38/36.71 ( ! [X79] : (composition(top,converse(converse(X79))) = composition(composition(top,converse(converse(converse(X79)))),X79)) ) | (~spl2_36 | ~spl2_716 | ~spl2_1998)), 36.38/36.71 inference(forward_demodulation,[],[f209520,f19902])). 36.38/36.71 fof(f209522,plain,( 36.38/36.71 ( ! [X79] : (composition(top,converse(converse(X79))) = composition(composition(top,converse(X79)),X79)) ) | (~spl2_8 | ~spl2_36 | ~spl2_716 | ~spl2_1998)), 36.38/36.71 inference(forward_demodulation,[],[f209521,f77])). 36.38/36.71 fof(f209523,plain,( 36.38/36.71 ( ! [X79] : (composition(top,X79) = composition(composition(top,converse(X79)),X79)) ) | (~spl2_8 | ~spl2_36 | ~spl2_716 | ~spl2_1998)), 36.38/36.71 inference(forward_demodulation,[],[f209522,f77])). 36.38/36.71 fof(f209548,plain,( 36.38/36.71 spl2_2000 <=> ! [X79] : composition(top,X79) = composition(composition(top,converse(X79)),X79)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2000])])). 36.38/36.71 fof(f209549,plain,( 36.38/36.71 ( ! [X79] : (composition(top,X79) = composition(composition(top,converse(X79)),X79)) ) | ~spl2_2000), 36.38/36.71 inference(avatar_component_clause,[],[f209548])). 36.38/36.71 fof(f209550,plain,( 36.38/36.71 spl2_2000 | ~spl2_8 | ~spl2_36 | ~spl2_716 | ~spl2_1998), 36.38/36.71 inference(avatar_split_clause,[],[f209523,f209262,f19901,f168,f76,f209548])). 36.38/36.71 fof(f209579,plain,( 36.38/36.71 ( ! [X4,X5] : (join(composition(X5,X4),composition(top,X4)) = composition(join(X5,composition(top,converse(X4))),X4)) ) | (~spl2_132 | ~spl2_2000)), 36.38/36.71 inference(superposition,[],[f1570,f209549])). 36.38/36.71 fof(f209580,plain,( 36.38/36.71 ( ! [X6,X7] : (join(composition(top,X6),composition(X7,X6)) = composition(join(composition(top,converse(X6)),X7),X6)) ) | (~spl2_132 | ~spl2_2000)), 36.38/36.71 inference(superposition,[],[f1570,f209549])). 36.38/36.71 fof(f209585,plain,( 36.38/36.71 ( ! [X15,X16] : (join(composition(X16,X15),composition(top,X15)) = composition(join(composition(top,converse(X15)),X16),X15)) ) | (~spl2_748 | ~spl2_2000)), 36.38/36.71 inference(superposition,[],[f21120,f209549])). 36.38/36.71 fof(f209586,plain,( 36.38/36.71 ( ! [X17,X18] : (join(composition(top,X17),composition(X18,X17)) = composition(join(X18,composition(top,converse(X17))),X17)) ) | (~spl2_748 | ~spl2_2000)), 36.38/36.71 inference(superposition,[],[f21120,f209549])). 36.38/36.71 fof(f209705,plain,( 36.38/36.71 ( ! [X4,X5] : (composition(join(X5,top),X4) = composition(join(X5,composition(top,converse(X4))),X4)) ) | (~spl2_132 | ~spl2_2000)), 36.38/36.71 inference(forward_demodulation,[],[f209579,f1570])). 36.38/36.71 fof(f209706,plain,( 36.38/36.71 ( ! [X4,X5] : (composition(top,X4) = composition(join(X5,composition(top,converse(X4))),X4)) ) | (~spl2_132 | ~spl2_404 | ~spl2_2000)), 36.38/36.71 inference(forward_demodulation,[],[f209705,f7150])). 36.38/36.71 fof(f209708,plain,( 36.38/36.71 ( ! [X6,X7] : (composition(join(top,X7),X6) = composition(join(composition(top,converse(X6)),X7),X6)) ) | (~spl2_132 | ~spl2_2000)), 36.38/36.71 inference(forward_demodulation,[],[f209580,f1570])). 36.38/36.71 fof(f209709,plain,( 36.38/36.71 ( ! [X6,X7] : (composition(top,X6) = composition(join(composition(top,converse(X6)),X7),X6)) ) | (~spl2_132 | ~spl2_410 | ~spl2_2000)), 36.38/36.71 inference(forward_demodulation,[],[f209708,f7231])). 36.38/36.71 fof(f209721,plain,( 36.38/36.71 ( ! [X15,X16] : (join(composition(X16,X15),composition(top,X15)) = composition(top,X15)) ) | (~spl2_132 | ~spl2_410 | ~spl2_748 | ~spl2_2000)), 36.38/36.71 inference(forward_demodulation,[],[f209585,f209709])). 36.38/36.71 fof(f209722,plain,( 36.38/36.71 ( ! [X17,X18] : (join(composition(top,X17),composition(X18,X17)) = composition(top,X17)) ) | (~spl2_132 | ~spl2_404 | ~spl2_748 | ~spl2_2000)), 36.38/36.71 inference(forward_demodulation,[],[f209586,f209706])). 36.38/36.71 fof(f211078,plain,( 36.38/36.71 spl2_2010 <=> ! [X16,X15] : join(composition(X16,X15),composition(top,X15)) = composition(top,X15)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2010])])). 36.38/36.71 fof(f211079,plain,( 36.38/36.71 ( ! [X15,X16] : (join(composition(X16,X15),composition(top,X15)) = composition(top,X15)) ) | ~spl2_2010), 36.38/36.71 inference(avatar_component_clause,[],[f211078])). 36.38/36.71 fof(f211080,plain,( 36.38/36.71 spl2_2010 | ~spl2_132 | ~spl2_410 | ~spl2_748 | ~spl2_2000), 36.38/36.71 inference(avatar_split_clause,[],[f209721,f209548,f21119,f7230,f1569,f211078])). 36.38/36.71 fof(f211082,plain,( 36.38/36.71 spl2_2012 <=> ! [X18,X17] : join(composition(top,X17),composition(X18,X17)) = composition(top,X17)), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2012])])). 36.38/36.71 fof(f211083,plain,( 36.38/36.71 ( ! [X17,X18] : (join(composition(top,X17),composition(X18,X17)) = composition(top,X17)) ) | ~spl2_2012), 36.38/36.71 inference(avatar_component_clause,[],[f211082])). 36.38/36.71 fof(f211084,plain,( 36.38/36.71 spl2_2012 | ~spl2_132 | ~spl2_404 | ~spl2_748 | ~spl2_2000), 36.38/36.71 inference(avatar_split_clause,[],[f209722,f209548,f21119,f7149,f1569,f211082])). 36.38/36.71 fof(f211371,plain,( 36.38/36.71 ( ! [X57,X58] : (join(composition(top,X58),complement(composition(X57,X58))) = top) ) | (~spl2_662 | ~spl2_2010)), 36.38/36.71 inference(superposition,[],[f16781,f211079])). 36.38/36.71 fof(f211474,plain,( 36.38/36.71 spl2_2014 <=> ! [X58,X57] : join(composition(top,X58),complement(composition(X57,X58))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2014])])). 36.38/36.71 fof(f211475,plain,( 36.38/36.71 ( ! [X57,X58] : (join(composition(top,X58),complement(composition(X57,X58))) = top) ) | ~spl2_2014), 36.38/36.71 inference(avatar_component_clause,[],[f211474])). 36.38/36.71 fof(f211476,plain,( 36.38/36.71 spl2_2014 | ~spl2_662 | ~spl2_2010), 36.38/36.71 inference(avatar_split_clause,[],[f211371,f211078,f16780,f211474])). 36.38/36.71 fof(f212156,plain,( 36.38/36.71 ( ! [X147,X148] : (complement(composition(X148,X147)) = join(complement(composition(top,X147)),complement(composition(X148,X147)))) ) | (~spl2_1464 | ~spl2_2012)), 36.38/36.71 inference(superposition,[],[f107922,f211083])). 36.38/36.71 fof(f213192,plain,( 36.38/36.71 spl2_2044 <=> ! [X38] : join(complement(one),complement(composition(converse(X38),complement(X38)))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2044])])). 36.38/36.71 fof(f213193,plain,( 36.38/36.71 ( ! [X38] : (join(complement(one),complement(composition(converse(X38),complement(X38)))) = top) ) | ~spl2_2044), 36.38/36.71 inference(avatar_component_clause,[],[f213192])). 36.38/36.71 fof(f213194,plain,( 36.38/36.71 spl2_2044 | ~spl2_588 | ~spl2_662), 36.38/36.71 inference(avatar_split_clause,[],[f16811,f16780,f11455,f213192])). 36.38/36.71 fof(f218960,plain,( 36.38/36.71 ( ! [X0] : (join(complement(one),complement(composition(converse(complement(X0)),X0))) = top) ) | (~spl2_510 | ~spl2_2044)), 36.38/36.71 inference(superposition,[],[f213193,f9945])). 36.38/36.71 fof(f224946,plain,( 36.38/36.71 spl2_2172 <=> ! [X34] : complement(sK0) = join(composition(converse(X34),complement(X34)),complement(sK0))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2172])])). 36.38/36.71 fof(f224947,plain,( 36.38/36.71 ( ! [X34] : (complement(sK0) = join(composition(converse(X34),complement(X34)),complement(sK0))) ) | ~spl2_2172), 36.38/36.71 inference(avatar_component_clause,[],[f224946])). 36.38/36.71 fof(f224948,plain,( 36.38/36.71 spl2_2172 | ~spl2_6 | ~spl2_950 | ~spl2_1088), 36.38/36.71 inference(avatar_split_clause,[],[f76544,f54739,f34621,f72,f224946])). 36.38/36.71 fof(f224950,plain,( 36.38/36.71 spl2_2174 <=> ! [X35] : complement(sK1) = join(composition(converse(X35),complement(X35)),complement(sK1))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2174])])). 36.38/36.71 fof(f224951,plain,( 36.38/36.71 ( ! [X35] : (complement(sK1) = join(composition(converse(X35),complement(X35)),complement(sK1))) ) | ~spl2_2174), 36.38/36.71 inference(avatar_component_clause,[],[f224950])). 36.38/36.71 fof(f224952,plain,( 36.38/36.71 spl2_2174 | ~spl2_6 | ~spl2_962 | ~spl2_1088), 36.38/36.71 inference(avatar_split_clause,[],[f76545,f54739,f35608,f72,f224950])). 36.38/36.71 fof(f225900,plain,( 36.38/36.71 spl2_2210 <=> ! [X0] : join(complement(one),complement(composition(converse(complement(X0)),X0))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2210])])). 36.38/36.71 fof(f225901,plain,( 36.38/36.71 ( ! [X0] : (join(complement(one),complement(composition(converse(complement(X0)),X0))) = top) ) | ~spl2_2210), 36.38/36.71 inference(avatar_component_clause,[],[f225900])). 36.38/36.71 fof(f225902,plain,( 36.38/36.71 spl2_2210 | ~spl2_510 | ~spl2_2044), 36.38/36.71 inference(avatar_split_clause,[],[f218960,f213192,f9944,f225900])). 36.38/36.71 fof(f226652,plain,( 36.38/36.71 spl2_2224 <=> ! [X1,X0,X2] : join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))),complement(join(complement(X2),join(composition(X0,X1),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2224])])). 36.38/36.71 fof(f226653,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))),complement(join(complement(X2),join(composition(X0,X1),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))))) ) | ~spl2_2224), 36.38/36.71 inference(avatar_component_clause,[],[f226652])). 36.38/36.71 fof(f226654,plain,( 36.38/36.71 spl2_2224 | ~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358), 36.38/36.71 inference(avatar_split_clause,[],[f99090,f96913,f85201,f82158,f82154,f33826,f30550,f11077,f9944,f9139,f3076,f2752,f2294,f638,f92,f226652])). 36.38/36.71 fof(f238262,plain,( 36.38/36.71 spl2_2226 <=> ! [X3,X5,X4] : join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(X5),join(composition(X3,X4),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2226])])). 36.38/36.71 fof(f238263,plain,( 36.38/36.71 ( ! [X4,X5,X3] : (join(complement(composition(X3,X4)),complement(X5)) = join(complement(join(complement(X5),join(composition(X3,X4),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))),join(complement(X5),complement(composition(X3,complement(join(complement(X4),complement(composition(converse(X3),X5))))))))) ) | ~spl2_2226), 36.38/36.71 inference(avatar_component_clause,[],[f238262])). 36.38/36.71 fof(f238264,plain,( 36.38/36.71 spl2_2226 | ~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_234 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358), 36.38/36.71 inference(avatar_split_clause,[],[f99091,f96913,f85201,f82158,f82154,f33826,f30550,f11077,f9944,f9139,f3076,f2752,f2294,f638,f92,f238262])). 36.38/36.71 fof(f245440,plain,( 36.38/36.71 spl2_2236 <=> ! [X1,X0,X2] : join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))),complement(join(complement(X2),join(composition(X0,X1),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2236])])). 36.38/36.71 fof(f245441,plain,( 36.38/36.71 ( ! [X2,X0,X1] : (join(complement(composition(X0,X1)),complement(X2)) = join(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))),complement(join(complement(X2),join(composition(X0,X1),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))))) ) | ~spl2_2236), 36.38/36.71 inference(avatar_component_clause,[],[f245440])). 36.38/36.71 fof(f245442,plain,( 36.38/36.71 spl2_2236 | ~spl2_14 | ~spl2_66 | ~spl2_196 | ~spl2_216 | ~spl2_260 | ~spl2_496 | ~spl2_510 | ~spl2_556 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1250 | ~spl2_1254 | ~spl2_1358), 36.38/36.71 inference(avatar_split_clause,[],[f99092,f96913,f85201,f82158,f82154,f33826,f30550,f11077,f9944,f9139,f3362,f2752,f2294,f638,f92,f245440])). 36.38/36.71 fof(f253171,plain,( 36.38/36.71 ( ! [X73] : (join(complement(sK0),complement(composition(converse(X73),complement(X73)))) = top) ) | (~spl2_662 | ~spl2_2172)), 36.38/36.71 inference(superposition,[],[f16781,f224947])). 36.38/36.71 fof(f253347,plain,( 36.38/36.71 ( ! [X73] : (join(complement(sK1),complement(composition(converse(X73),complement(X73)))) = top) ) | (~spl2_662 | ~spl2_2174)), 36.38/36.71 inference(superposition,[],[f16781,f224951])). 36.38/36.71 fof(f264290,plain,( 36.38/36.71 ( ! [X1] : (join(complement(composition(one,X1)),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(composition(complement(top),X1))),complement(join(complement(converse(complement(converse(X1)))),join(composition(one,X1),complement(composition(complement(top),X1))))))) ) | (~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(superposition,[],[f245441,f225901])). 36.38/36.71 fof(f264741,plain,( 36.38/36.71 ( ! [X1] : (join(complement(composition(one,X1)),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(composition(complement(top),X1))),complement(join(complement(composition(complement(top),X1)),join(complement(converse(complement(converse(X1)))),composition(one,X1)))))) ) | (~spl2_556 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264290,f11078])). 36.38/36.71 fof(f264742,plain,( 36.38/36.71 ( ! [X1] : (join(complement(composition(one,X1)),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(composition(complement(top),X1))),complement(join(composition(one,X1),join(complement(composition(complement(top),X1)),complement(converse(complement(converse(X1))))))))) ) | (~spl2_556 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264741,f11078])). 36.38/36.71 fof(f264743,plain,( 36.38/36.71 ( ! [X1] : (join(complement(composition(one,X1)),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(composition(zero,X1))),complement(join(composition(one,X1),join(complement(composition(zero,X1)),complement(converse(complement(converse(X1))))))))) ) | (~spl2_0 | ~spl2_556 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264742,f55])). 36.38/36.71 fof(f264744,plain,( 36.38/36.71 ( ! [X1] : (join(complement(composition(one,X1)),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(zero)),complement(join(composition(one,X1),join(complement(zero),complement(converse(complement(converse(X1))))))))) ) | (~spl2_0 | ~spl2_556 | ~spl2_684 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264743,f18691])). 36.38/36.71 fof(f264745,plain,( 36.38/36.71 ( ! [X1] : (join(complement(composition(one,X1)),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(zero)),complement(join(complement(zero),join(complement(converse(complement(converse(X1)))),composition(one,X1)))))) ) | (~spl2_0 | ~spl2_556 | ~spl2_684 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264744,f11078])). 36.38/36.71 fof(f264746,plain,( 36.38/36.71 ( ! [X1] : (join(complement(composition(one,X1)),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(zero)),complement(join(complement(zero),join(composition(one,X1),complement(converse(complement(converse(X1))))))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_556 | ~spl2_684 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264745,f93])). 36.38/36.71 fof(f264747,plain,( 36.38/36.71 ( ! [X1] : (join(complement(X1),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),complement(zero)),complement(join(complement(zero),join(X1,complement(converse(complement(converse(X1))))))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_62 | ~spl2_556 | ~spl2_684 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264746,f625])). 36.38/36.71 fof(f264748,plain,( 36.38/36.71 ( ! [X1] : (join(complement(X1),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),top),complement(join(top,join(X1,complement(converse(complement(converse(X1))))))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_62 | ~spl2_498 | ~spl2_556 | ~spl2_684 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264747,f9253])). 36.38/36.71 fof(f264749,plain,( 36.38/36.71 ( ! [X1] : (join(complement(X1),complement(converse(complement(converse(X1))))) = join(join(complement(converse(complement(converse(X1)))),top),complement(top))) ) | (~spl2_0 | ~spl2_14 | ~spl2_62 | ~spl2_410 | ~spl2_498 | ~spl2_556 | ~spl2_684 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264748,f7231])). 36.38/36.71 fof(f264750,plain,( 36.38/36.71 ( ! [X1] : (join(complement(X1),complement(converse(complement(converse(X1))))) = top) ) | (~spl2_0 | ~spl2_14 | ~spl2_62 | ~spl2_410 | ~spl2_498 | ~spl2_556 | ~spl2_660 | ~spl2_684 | ~spl2_2210 | ~spl2_2236)), 36.38/36.71 inference(forward_demodulation,[],[f264749,f16545])). 36.38/36.71 fof(f264930,plain,( 36.38/36.71 spl2_2290 <=> ! [X1] : join(complement(X1),complement(converse(complement(converse(X1))))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2290])])). 36.38/36.71 fof(f264931,plain,( 36.38/36.71 ( ! [X1] : (join(complement(X1),complement(converse(complement(converse(X1))))) = top) ) | ~spl2_2290), 36.38/36.71 inference(avatar_component_clause,[],[f264930])). 36.38/36.71 fof(f264932,plain,( 36.38/36.71 spl2_2290 | ~spl2_0 | ~spl2_14 | ~spl2_62 | ~spl2_410 | ~spl2_498 | ~spl2_556 | ~spl2_660 | ~spl2_684 | ~spl2_2210 | ~spl2_2236), 36.38/36.71 inference(avatar_split_clause,[],[f264750,f245440,f225900,f18690,f16544,f11077,f9252,f7230,f624,f92,f54,f264930])). 36.38/36.71 fof(f264955,plain,( 36.38/36.71 ( ! [X24] : (join(complement(converse(X24)),complement(converse(complement(X24)))) = top) ) | (~spl2_8 | ~spl2_2290)), 36.38/36.71 inference(superposition,[],[f264931,f77])). 36.38/36.71 fof(f265089,plain,( 36.38/36.71 ( ! [X104] : (join(complement(top),complement(X104)) = join(complement(X104),complement(complement(converse(complement(converse(X104))))))) ) | (~spl2_1400 | ~spl2_2290)), 36.38/36.71 inference(superposition,[],[f101769,f264931])). 36.38/36.71 fof(f265342,plain,( 36.38/36.71 ( ! [X104] : (join(complement(top),complement(X104)) = join(complement(X104),converse(complement(converse(X104))))) ) | (~spl2_510 | ~spl2_1400 | ~spl2_2290)), 36.38/36.71 inference(forward_demodulation,[],[f265089,f9945])). 36.38/36.71 fof(f265343,plain,( 36.38/36.71 ( ! [X104] : (join(zero,complement(X104)) = join(complement(X104),converse(complement(converse(X104))))) ) | (~spl2_0 | ~spl2_510 | ~spl2_1400 | ~spl2_2290)), 36.38/36.71 inference(forward_demodulation,[],[f265342,f55])). 36.38/36.71 fof(f265344,plain,( 36.38/36.71 ( ! [X104] : (complement(X104) = join(complement(X104),converse(complement(converse(X104))))) ) | (~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2290)), 36.38/36.71 inference(forward_demodulation,[],[f265343,f9307])). 36.38/36.71 fof(f267087,plain,( 36.38/36.71 spl2_2296 <=> ! [X24] : join(complement(converse(X24)),complement(converse(complement(X24)))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2296])])). 36.38/36.71 fof(f267088,plain,( 36.38/36.71 ( ! [X24] : (join(complement(converse(X24)),complement(converse(complement(X24)))) = top) ) | ~spl2_2296), 36.38/36.71 inference(avatar_component_clause,[],[f267087])). 36.38/36.71 fof(f267089,plain,( 36.38/36.71 spl2_2296 | ~spl2_8 | ~spl2_2290), 36.38/36.71 inference(avatar_split_clause,[],[f264955,f264930,f76,f267087])). 36.38/36.71 fof(f267091,plain,( 36.38/36.71 spl2_2298 <=> ! [X104] : complement(X104) = join(complement(X104),converse(complement(converse(X104))))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2298])])). 36.38/36.71 fof(f267092,plain,( 36.38/36.71 ( ! [X104] : (complement(X104) = join(complement(X104),converse(complement(converse(X104))))) ) | ~spl2_2298), 36.38/36.71 inference(avatar_component_clause,[],[f267091])). 36.38/36.71 fof(f267093,plain,( 36.38/36.71 spl2_2298 | ~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2290), 36.38/36.71 inference(avatar_split_clause,[],[f265344,f264930,f101768,f9944,f9306,f54,f267091])). 36.38/36.71 fof(f268200,plain,( 36.38/36.71 ( ! [X56] : (join(complement(top),complement(converse(X56))) = join(complement(converse(X56)),complement(complement(converse(complement(X56)))))) ) | (~spl2_1400 | ~spl2_2296)), 36.38/36.71 inference(superposition,[],[f101769,f267088])). 36.38/36.71 fof(f268349,plain,( 36.38/36.71 ( ! [X56] : (join(complement(top),complement(converse(X56))) = join(complement(converse(X56)),converse(complement(X56)))) ) | (~spl2_510 | ~spl2_1400 | ~spl2_2296)), 36.38/36.71 inference(forward_demodulation,[],[f268200,f9945])). 36.38/36.71 fof(f268350,plain,( 36.38/36.71 ( ! [X56] : (join(zero,complement(converse(X56))) = join(complement(converse(X56)),converse(complement(X56)))) ) | (~spl2_0 | ~spl2_510 | ~spl2_1400 | ~spl2_2296)), 36.38/36.71 inference(forward_demodulation,[],[f268349,f55])). 36.38/36.71 fof(f268351,plain,( 36.38/36.71 ( ! [X56] : (complement(converse(X56)) = join(complement(converse(X56)),converse(complement(X56)))) ) | (~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2296)), 36.38/36.71 inference(forward_demodulation,[],[f268350,f9307])). 36.38/36.71 fof(f268449,plain,( 36.38/36.71 ( ! [X6] : (join(complement(converse(X6)),converse(complement(X6))) = converse(complement(X6))) ) | (~spl2_88 | ~spl2_2298)), 36.38/36.71 inference(superposition,[],[f1032,f267092])). 36.38/36.71 fof(f268637,plain,( 36.38/36.71 ( ! [X6] : (complement(converse(X6)) = converse(complement(X6))) ) | (~spl2_0 | ~spl2_88 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2296 | ~spl2_2298)), 36.38/36.71 inference(forward_demodulation,[],[f268449,f268351])). 36.38/36.71 fof(f273289,plain,( 36.38/36.71 spl2_2302 <=> ! [X6] : complement(converse(X6)) = converse(complement(X6))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2302])])). 36.38/36.71 fof(f273290,plain,( 36.38/36.71 ( ! [X6] : (complement(converse(X6)) = converse(complement(X6))) ) | ~spl2_2302), 36.38/36.71 inference(avatar_component_clause,[],[f273289])). 36.38/36.71 fof(f273291,plain,( 36.38/36.71 spl2_2302 | ~spl2_0 | ~spl2_88 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2296 | ~spl2_2298), 36.38/36.71 inference(avatar_split_clause,[],[f268637,f267091,f267087,f101768,f9944,f9306,f1031,f54,f273289])). 36.38/36.71 fof(f273297,plain,( 36.38/36.71 ( ! [X0] : (complement(X0) = converse(complement(converse(X0)))) ) | (~spl2_8 | ~spl2_2302)), 36.38/36.71 inference(superposition,[],[f77,f273290])). 36.38/36.71 fof(f274248,plain,( 36.38/36.71 spl2_2304 <=> ! [X0] : complement(X0) = converse(complement(converse(X0)))), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2304])])). 36.38/36.71 fof(f274249,plain,( 36.38/36.71 ( ! [X0] : (complement(X0) = converse(complement(converse(X0)))) ) | ~spl2_2304), 36.38/36.71 inference(avatar_component_clause,[],[f274248])). 36.38/36.71 fof(f274250,plain,( 36.38/36.71 spl2_2304 | ~spl2_8 | ~spl2_2302), 36.38/36.71 inference(avatar_split_clause,[],[f273297,f273289,f76,f274248])). 36.38/36.71 fof(f288564,plain,( 36.38/36.71 spl2_2480 <=> ! [X73] : join(complement(sK0),complement(composition(converse(X73),complement(X73)))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2480])])). 36.38/36.71 fof(f288565,plain,( 36.38/36.71 ( ! [X73] : (join(complement(sK0),complement(composition(converse(X73),complement(X73)))) = top) ) | ~spl2_2480), 36.38/36.71 inference(avatar_component_clause,[],[f288564])). 36.38/36.71 fof(f288566,plain,( 36.38/36.71 spl2_2480 | ~spl2_662 | ~spl2_2172), 36.38/36.71 inference(avatar_split_clause,[],[f253171,f224946,f16780,f288564])). 36.38/36.71 fof(f288580,plain,( 36.38/36.71 spl2_2488 <=> ! [X73] : join(complement(sK1),complement(composition(converse(X73),complement(X73)))) = top), 36.38/36.71 introduced(avatar_definition,[new_symbols(naming,[spl2_2488])])). 36.38/36.71 fof(f288581,plain,( 36.38/36.71 ( ! [X73] : (join(complement(sK1),complement(composition(converse(X73),complement(X73)))) = top) ) | ~spl2_2488), 36.38/36.71 inference(avatar_component_clause,[],[f288580])). 36.38/36.71 fof(f288582,plain,( 36.38/36.71 spl2_2488 | ~spl2_662 | ~spl2_2174), 36.38/36.71 inference(avatar_split_clause,[],[f253347,f224950,f16780,f288580])). 36.38/36.71 fof(f316477,plain,( 36.38/36.71 ( ! [X0] : (join(complement(composition(X0,sK0)),complement(complement(X0))) = join(complement(join(complement(complement(X0)),join(composition(X0,sK0),complement(composition(X0,complement(top)))))),join(complement(complement(X0)),complement(composition(X0,complement(top)))))) ) | (~spl2_2226 | ~spl2_2480)), 36.38/36.71 inference(superposition,[],[f238263,f288565])). 36.38/36.71 fof(f316661,plain,( 36.38/36.71 ( ! [X0] : (join(complement(composition(X0,sK0)),complement(complement(X0))) = join(complement(join(complement(complement(X0)),join(composition(X0,sK0),complement(composition(X0,zero))))),join(complement(complement(X0)),complement(composition(X0,zero))))) ) | (~spl2_0 | ~spl2_2226 | ~spl2_2480)), 36.38/36.71 inference(forward_demodulation,[],[f316477,f55])). 36.38/36.71 fof(f316662,plain,( 36.38/36.71 ( ! [X0] : (join(complement(composition(X0,sK0)),complement(complement(X0))) = join(complement(join(complement(complement(X0)),join(composition(X0,sK0),complement(zero)))),join(complement(complement(X0)),complement(zero)))) ) | (~spl2_0 | ~spl2_688 | ~spl2_2226 | ~spl2_2480)), 36.38/36.72 inference(forward_demodulation,[],[f316661,f18759])). 36.38/36.72 fof(f316663,plain,( 36.38/36.72 ( ! [X0] : (join(complement(composition(X0,sK0)),complement(complement(X0))) = join(complement(join(complement(complement(X0)),join(composition(X0,sK0),complement(zero)))),join(complement(zero),complement(complement(X0))))) ) | (~spl2_0 | ~spl2_14 | ~spl2_688 | ~spl2_2226 | ~spl2_2480)), 36.38/36.72 inference(forward_demodulation,[],[f316662,f93])). 36.38/36.72 fof(f316664,plain,( 36.38/36.72 ( ! [X0] : (join(complement(composition(X0,sK0)),X0) = join(complement(join(X0,join(composition(X0,sK0),complement(zero)))),join(complement(zero),X0))) ) | (~spl2_0 | ~spl2_14 | ~spl2_510 | ~spl2_688 | ~spl2_2226 | ~spl2_2480)), 36.38/36.72 inference(forward_demodulation,[],[f316663,f9945])). 36.38/36.72 fof(f316665,plain,( 36.38/36.72 ( ! [X0] : (join(complement(composition(X0,sK0)),X0) = join(complement(join(X0,join(composition(X0,sK0),top))),join(top,X0))) ) | (~spl2_0 | ~spl2_14 | ~spl2_498 | ~spl2_510 | ~spl2_688 | ~spl2_2226 | ~spl2_2480)), 36.38/36.72 inference(forward_demodulation,[],[f316664,f9253])). 36.38/36.72 fof(f316666,plain,( 36.38/36.72 ( ! [X0] : (join(complement(composition(X0,sK0)),X0) = join(complement(join(X0,join(composition(X0,sK0),top))),top)) ) | (~spl2_0 | ~spl2_14 | ~spl2_410 | ~spl2_498 | ~spl2_510 | ~spl2_688 | ~spl2_2226 | ~spl2_2480)), 36.38/36.72 inference(forward_demodulation,[],[f316665,f7231])). 36.38/36.72 fof(f316667,plain,( 36.38/36.72 ( ! [X0] : (join(complement(composition(X0,sK0)),X0) = top) ) | (~spl2_0 | ~spl2_14 | ~spl2_404 | ~spl2_410 | ~spl2_498 | ~spl2_510 | ~spl2_688 | ~spl2_2226 | ~spl2_2480)), 36.38/36.72 inference(forward_demodulation,[],[f316666,f7150])). 36.38/36.72 fof(f316861,plain,( 36.38/36.72 spl2_2538 <=> ! [X0] : join(complement(composition(X0,sK0)),X0) = top), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2538])])). 36.38/36.72 fof(f316862,plain,( 36.38/36.72 ( ! [X0] : (join(complement(composition(X0,sK0)),X0) = top) ) | ~spl2_2538), 36.38/36.72 inference(avatar_component_clause,[],[f316861])). 36.38/36.72 fof(f316863,plain,( 36.38/36.72 spl2_2538 | ~spl2_0 | ~spl2_14 | ~spl2_404 | ~spl2_410 | ~spl2_498 | ~spl2_510 | ~spl2_688 | ~spl2_2226 | ~spl2_2480), 36.38/36.72 inference(avatar_split_clause,[],[f316667,f288564,f238262,f18758,f9944,f9252,f7230,f7149,f92,f54,f316861])). 36.38/36.72 fof(f316872,plain,( 36.38/36.72 ( ! [X1] : (join(X1,complement(composition(X1,sK0))) = top) ) | (~spl2_14 | ~spl2_2538)), 36.38/36.72 inference(superposition,[],[f316862,f93])). 36.38/36.72 fof(f317944,plain,( 36.38/36.72 spl2_2542 <=> ! [X1] : join(X1,complement(composition(X1,sK0))) = top), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2542])])). 36.38/36.72 fof(f317945,plain,( 36.38/36.72 ( ! [X1] : (join(X1,complement(composition(X1,sK0))) = top) ) | ~spl2_2542), 36.38/36.72 inference(avatar_component_clause,[],[f317944])). 36.38/36.72 fof(f317946,plain,( 36.38/36.72 spl2_2542 | ~spl2_14 | ~spl2_2538), 36.38/36.72 inference(avatar_split_clause,[],[f316872,f316861,f92,f317944])). 36.38/36.72 fof(f318331,plain,( 36.38/36.72 ( ! [X213] : (join(complement(top),complement(X213)) = join(complement(X213),complement(complement(composition(complement(X213),sK0))))) ) | (~spl2_1400 | ~spl2_2542)), 36.38/36.72 inference(superposition,[],[f101769,f317945])). 36.38/36.72 fof(f318727,plain,( 36.38/36.72 ( ! [X213] : (join(complement(top),complement(X213)) = join(complement(X213),composition(complement(X213),sK0))) ) | (~spl2_510 | ~spl2_1400 | ~spl2_2542)), 36.38/36.72 inference(forward_demodulation,[],[f318331,f9945])). 36.38/36.72 fof(f318728,plain,( 36.38/36.72 ( ! [X213] : (join(zero,complement(X213)) = join(complement(X213),composition(complement(X213),sK0))) ) | (~spl2_0 | ~spl2_510 | ~spl2_1400 | ~spl2_2542)), 36.38/36.72 inference(forward_demodulation,[],[f318727,f55])). 36.38/36.72 fof(f318729,plain,( 36.38/36.72 ( ! [X213] : (complement(X213) = join(complement(X213),composition(complement(X213),sK0))) ) | (~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2542)), 36.38/36.72 inference(forward_demodulation,[],[f318728,f9307])). 36.38/36.72 fof(f334259,plain,( 36.38/36.72 spl2_2608 <=> ! [X213] : complement(X213) = join(complement(X213),composition(complement(X213),sK0))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2608])])). 36.38/36.72 fof(f334260,plain,( 36.38/36.72 ( ! [X213] : (complement(X213) = join(complement(X213),composition(complement(X213),sK0))) ) | ~spl2_2608), 36.38/36.72 inference(avatar_component_clause,[],[f334259])). 36.38/36.72 fof(f334261,plain,( 36.38/36.72 spl2_2608 | ~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2542), 36.38/36.72 inference(avatar_split_clause,[],[f318729,f317944,f101768,f9944,f9306,f54,f334259])). 36.38/36.72 fof(f335356,plain,( 36.38/36.72 ( ! [X0] : (join(X0,composition(X0,sK0)) = X0) ) | (~spl2_510 | ~spl2_2608)), 36.38/36.72 inference(superposition,[],[f334260,f9945])). 36.38/36.72 fof(f335528,plain,( 36.38/36.72 composition(converse(sK0),sK0) = converse(sK0) | (~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_950 | ~spl2_1486 | ~spl2_1806 | ~spl2_2608)), 36.38/36.72 inference(backward_demodulation,[],[f335356,f190625])). 36.38/36.72 fof(f335628,plain,( 36.38/36.72 spl2_2640 <=> composition(converse(sK0),sK0) = converse(sK0)), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2640])])). 36.38/36.72 fof(f335629,plain,( 36.38/36.72 composition(converse(sK0),sK0) = converse(sK0) | ~spl2_2640), 36.38/36.72 inference(avatar_component_clause,[],[f335628])). 36.38/36.72 fof(f335630,plain,( 36.38/36.72 spl2_2640 | ~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_950 | ~spl2_1486 | ~spl2_1806 | ~spl2_2608), 36.38/36.72 inference(avatar_split_clause,[],[f335528,f334259,f173752,f112872,f34621,f9944,f76,f72,f335628])). 36.38/36.72 fof(f335635,plain,( 36.38/36.72 converse(sK0) = converse(converse(sK0)) | (~spl2_36 | ~spl2_2640)), 36.38/36.72 inference(superposition,[],[f169,f335629])). 36.38/36.72 fof(f335725,plain,( 36.38/36.72 converse(sK0) = sK0 | (~spl2_8 | ~spl2_36 | ~spl2_2640)), 36.38/36.72 inference(forward_demodulation,[],[f335635,f77])). 36.38/36.72 fof(f336842,plain,( 36.38/36.72 spl2_2642 <=> converse(sK0) = sK0), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2642])])). 36.38/36.72 fof(f336843,plain,( 36.38/36.72 converse(sK0) = sK0 | ~spl2_2642), 36.38/36.72 inference(avatar_component_clause,[],[f336842])). 36.38/36.72 fof(f336844,plain,( 36.38/36.72 spl2_2642 | ~spl2_8 | ~spl2_36 | ~spl2_2640), 36.38/36.72 inference(avatar_split_clause,[],[f335725,f335628,f168,f76,f336842])). 36.38/36.72 fof(f336925,plain,( 36.38/36.72 complement(sK0) = converse(complement(sK0)) | (~spl2_2304 | ~spl2_2642)), 36.38/36.72 inference(superposition,[],[f274249,f336843])). 36.38/36.72 fof(f337225,plain,( 36.38/36.72 spl2_2644 <=> complement(sK0) = converse(complement(sK0))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2644])])). 36.38/36.72 fof(f337226,plain,( 36.38/36.72 complement(sK0) = converse(complement(sK0)) | ~spl2_2644), 36.38/36.72 inference(avatar_component_clause,[],[f337225])). 36.38/36.72 fof(f337227,plain,( 36.38/36.72 spl2_2644 | ~spl2_2304 | ~spl2_2642), 36.38/36.72 inference(avatar_split_clause,[],[f336925,f336842,f274248,f337225])). 36.38/36.72 fof(f337232,plain,( 36.38/36.72 ( ! [X1] : (join(complement(sK0),converse(X1)) = converse(join(complement(sK0),X1))) ) | (~spl2_24 | ~spl2_2644)), 36.38/36.72 inference(superposition,[],[f137,f337226])). 36.38/36.72 fof(f393790,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),complement(complement(X3))) = join(join(complement(complement(X3)),complement(composition(X3,complement(top)))),complement(join(complement(complement(X3)),join(composition(X3,sK1),complement(composition(X3,complement(top)))))))) ) | (~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(superposition,[],[f226653,f288581])). 36.38/36.72 fof(f394027,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),complement(complement(X3))) = join(join(complement(complement(X3)),complement(composition(X3,zero))),complement(join(complement(complement(X3)),join(composition(X3,sK1),complement(composition(X3,zero))))))) ) | (~spl2_0 | ~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(forward_demodulation,[],[f393790,f55])). 36.38/36.72 fof(f394028,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),complement(complement(X3))) = join(join(complement(complement(X3)),complement(zero)),complement(join(complement(complement(X3)),join(composition(X3,sK1),complement(zero)))))) ) | (~spl2_0 | ~spl2_688 | ~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(forward_demodulation,[],[f394027,f18759])). 36.38/36.72 fof(f394029,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),complement(complement(X3))) = join(join(complement(complement(X3)),complement(zero)),complement(join(complement(zero),join(complement(complement(X3)),composition(X3,sK1)))))) ) | (~spl2_0 | ~spl2_556 | ~spl2_688 | ~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(forward_demodulation,[],[f394028,f11078])). 36.38/36.72 fof(f394030,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),X3) = join(join(X3,complement(zero)),complement(join(complement(zero),join(X3,composition(X3,sK1)))))) ) | (~spl2_0 | ~spl2_510 | ~spl2_556 | ~spl2_688 | ~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(forward_demodulation,[],[f394029,f9945])). 36.38/36.72 fof(f394031,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),X3) = join(join(X3,top),complement(join(top,join(X3,composition(X3,sK1)))))) ) | (~spl2_0 | ~spl2_498 | ~spl2_510 | ~spl2_556 | ~spl2_688 | ~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(forward_demodulation,[],[f394030,f9253])). 36.38/36.72 fof(f394032,plain,( 36.38/36.72 ( ! [X3] : (join(join(X3,top),complement(top)) = join(complement(composition(X3,sK1)),X3)) ) | (~spl2_0 | ~spl2_410 | ~spl2_498 | ~spl2_510 | ~spl2_556 | ~spl2_688 | ~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(forward_demodulation,[],[f394031,f7231])). 36.38/36.72 fof(f394033,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),X3) = top) ) | (~spl2_0 | ~spl2_410 | ~spl2_498 | ~spl2_510 | ~spl2_556 | ~spl2_660 | ~spl2_688 | ~spl2_2224 | ~spl2_2488)), 36.38/36.72 inference(forward_demodulation,[],[f394032,f16545])). 36.38/36.72 fof(f394240,plain,( 36.38/36.72 spl2_2906 <=> ! [X3] : join(complement(composition(X3,sK1)),X3) = top), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2906])])). 36.38/36.72 fof(f394241,plain,( 36.38/36.72 ( ! [X3] : (join(complement(composition(X3,sK1)),X3) = top) ) | ~spl2_2906), 36.38/36.72 inference(avatar_component_clause,[],[f394240])). 36.38/36.72 fof(f394242,plain,( 36.38/36.72 spl2_2906 | ~spl2_0 | ~spl2_410 | ~spl2_498 | ~spl2_510 | ~spl2_556 | ~spl2_660 | ~spl2_688 | ~spl2_2224 | ~spl2_2488), 36.38/36.72 inference(avatar_split_clause,[],[f394033,f288580,f226652,f18758,f16544,f11077,f9944,f9252,f7230,f54,f394240])). 36.38/36.72 fof(f394251,plain,( 36.38/36.72 ( ! [X1] : (join(X1,complement(composition(X1,sK1))) = top) ) | (~spl2_14 | ~spl2_2906)), 36.38/36.72 inference(superposition,[],[f394241,f93])). 36.38/36.72 fof(f394672,plain,( 36.38/36.72 ( ! [X16] : (join(composition(sK1,sK1),X16) = join(complement(top),join(sK1,X16))) ) | (~spl2_14 | ~spl2_510 | ~spl2_1358 | ~spl2_1924 | ~spl2_2906)), 36.38/36.72 inference(backward_demodulation,[],[f394251,f198381])). 36.38/36.72 fof(f394679,plain,( 36.38/36.72 ( ! [X16] : (join(zero,join(sK1,X16)) = join(composition(sK1,sK1),X16)) ) | (~spl2_0 | ~spl2_14 | ~spl2_510 | ~spl2_1358 | ~spl2_1924 | ~spl2_2906)), 36.38/36.72 inference(forward_demodulation,[],[f394672,f55])). 36.38/36.72 fof(f394680,plain,( 36.38/36.72 ( ! [X16] : (join(sK1,X16) = join(composition(sK1,sK1),X16)) ) | (~spl2_0 | ~spl2_14 | ~spl2_500 | ~spl2_510 | ~spl2_1358 | ~spl2_1924 | ~spl2_2906)), 36.38/36.72 inference(forward_demodulation,[],[f394679,f9307])). 36.38/36.72 fof(f394682,plain,( 36.38/36.72 ( ! [X1] : (join(sK1,X1) = join(composition(sK1,sK1),join(sK1,X1))) ) | (~spl2_0 | ~spl2_14 | ~spl2_500 | ~spl2_510 | ~spl2_538 | ~spl2_1358 | ~spl2_1842 | ~spl2_1924 | ~spl2_2906)), 36.38/36.72 inference(backward_demodulation,[],[f394680,f191280])). 36.38/36.72 fof(f394698,plain,( 36.38/36.72 ( ! [X2] : (join(sK1,X2) = join(X2,composition(sK1,sK1))) ) | (~spl2_0 | ~spl2_14 | ~spl2_500 | ~spl2_510 | ~spl2_538 | ~spl2_556 | ~spl2_1358 | ~spl2_1842 | ~spl2_1854 | ~spl2_1924 | ~spl2_2906)), 36.38/36.72 inference(backward_demodulation,[],[f394682,f191852])). 36.38/36.72 fof(f394715,plain,( 36.38/36.72 join(sK1,sK1) = composition(sK1,sK1) | (~spl2_0 | ~spl2_14 | ~spl2_500 | ~spl2_510 | ~spl2_538 | ~spl2_556 | ~spl2_1358 | ~spl2_1842 | ~spl2_1854 | ~spl2_1924 | ~spl2_2906)), 36.38/36.72 inference(backward_demodulation,[],[f394698,f190802])). 36.38/36.72 fof(f394716,plain,( 36.38/36.72 composition(sK1,sK1) = sK1 | (~spl2_0 | ~spl2_14 | ~spl2_500 | ~spl2_510 | ~spl2_512 | ~spl2_538 | ~spl2_556 | ~spl2_1358 | ~spl2_1842 | ~spl2_1854 | ~spl2_1924 | ~spl2_2906)), 36.38/36.72 inference(forward_demodulation,[],[f394715,f10010])). 36.38/36.72 fof(f395231,plain,( 36.38/36.72 spl2_2908 <=> composition(sK1,sK1) = sK1), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2908])])). 36.38/36.72 fof(f395232,plain,( 36.38/36.72 composition(sK1,sK1) = sK1 | ~spl2_2908), 36.38/36.72 inference(avatar_component_clause,[],[f395231])). 36.38/36.72 fof(f395233,plain,( 36.38/36.72 spl2_2908 | ~spl2_0 | ~spl2_14 | ~spl2_500 | ~spl2_510 | ~spl2_512 | ~spl2_538 | ~spl2_556 | ~spl2_1358 | ~spl2_1842 | ~spl2_1854 | ~spl2_1924 | ~spl2_2906), 36.38/36.72 inference(avatar_split_clause,[],[f394716,f394240,f195741,f191741,f190801,f96913,f11077,f10386,f10009,f9944,f9306,f92,f54,f395231])). 36.38/36.72 fof(f397484,plain,( 36.38/36.72 spl2_2910 <=> ! [X1] : join(X1,complement(composition(X1,sK1))) = top), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2910])])). 36.38/36.72 fof(f397485,plain,( 36.38/36.72 ( ! [X1] : (join(X1,complement(composition(X1,sK1))) = top) ) | ~spl2_2910), 36.38/36.72 inference(avatar_component_clause,[],[f397484])). 36.38/36.72 fof(f397486,plain,( 36.38/36.72 spl2_2910 | ~spl2_14 | ~spl2_2906), 36.38/36.72 inference(avatar_split_clause,[],[f394251,f394240,f92,f397484])). 36.38/36.72 fof(f397837,plain,( 36.38/36.72 ( ! [X238] : (join(complement(top),complement(X238)) = join(complement(X238),complement(complement(composition(complement(X238),sK1))))) ) | (~spl2_1400 | ~spl2_2910)), 36.38/36.72 inference(superposition,[],[f101769,f397485])). 36.38/36.72 fof(f398226,plain,( 36.38/36.72 ( ! [X238] : (join(complement(top),complement(X238)) = join(complement(X238),composition(complement(X238),sK1))) ) | (~spl2_510 | ~spl2_1400 | ~spl2_2910)), 36.38/36.72 inference(forward_demodulation,[],[f397837,f9945])). 36.38/36.72 fof(f398227,plain,( 36.38/36.72 ( ! [X238] : (join(zero,complement(X238)) = join(complement(X238),composition(complement(X238),sK1))) ) | (~spl2_0 | ~spl2_510 | ~spl2_1400 | ~spl2_2910)), 36.38/36.72 inference(forward_demodulation,[],[f398226,f55])). 36.38/36.72 fof(f398228,plain,( 36.38/36.72 ( ! [X238] : (complement(X238) = join(complement(X238),composition(complement(X238),sK1))) ) | (~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2910)), 36.38/36.72 inference(forward_demodulation,[],[f398227,f9307])). 36.38/36.72 fof(f407405,plain,( 36.38/36.72 spl2_2944 <=> ! [X238] : complement(X238) = join(complement(X238),composition(complement(X238),sK1))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2944])])). 36.38/36.72 fof(f407406,plain,( 36.38/36.72 ( ! [X238] : (complement(X238) = join(complement(X238),composition(complement(X238),sK1))) ) | ~spl2_2944), 36.38/36.72 inference(avatar_component_clause,[],[f407405])). 36.38/36.72 fof(f407407,plain,( 36.38/36.72 spl2_2944 | ~spl2_0 | ~spl2_500 | ~spl2_510 | ~spl2_1400 | ~spl2_2910), 36.38/36.72 inference(avatar_split_clause,[],[f398228,f397484,f101768,f9944,f9306,f54,f407405])). 36.38/36.72 fof(f408470,plain,( 36.38/36.72 ( ! [X0] : (join(X0,composition(X0,sK1)) = X0) ) | (~spl2_510 | ~spl2_2944)), 36.38/36.72 inference(superposition,[],[f407406,f9945])). 36.38/36.72 fof(f408635,plain,( 36.38/36.72 composition(converse(sK1),sK1) = converse(sK1) | (~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_962 | ~spl2_1488 | ~spl2_1806 | ~spl2_2944)), 36.38/36.72 inference(backward_demodulation,[],[f408470,f190630])). 36.38/36.72 fof(f408742,plain,( 36.38/36.72 spl2_2962 <=> composition(converse(sK1),sK1) = converse(sK1)), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2962])])). 36.38/36.72 fof(f408743,plain,( 36.38/36.72 composition(converse(sK1),sK1) = converse(sK1) | ~spl2_2962), 36.38/36.72 inference(avatar_component_clause,[],[f408742])). 36.38/36.72 fof(f408744,plain,( 36.38/36.72 spl2_2962 | ~spl2_6 | ~spl2_8 | ~spl2_510 | ~spl2_962 | ~spl2_1488 | ~spl2_1806 | ~spl2_2944), 36.38/36.72 inference(avatar_split_clause,[],[f408635,f407405,f173752,f112879,f35608,f9944,f76,f72,f408742])). 36.38/36.72 fof(f408749,plain,( 36.38/36.72 converse(sK1) = converse(converse(sK1)) | (~spl2_36 | ~spl2_2962)), 36.38/36.72 inference(superposition,[],[f169,f408743])). 36.38/36.72 fof(f408857,plain,( 36.38/36.72 converse(sK1) = sK1 | (~spl2_8 | ~spl2_36 | ~spl2_2962)), 36.38/36.72 inference(forward_demodulation,[],[f408749,f77])). 36.38/36.72 fof(f410065,plain,( 36.38/36.72 spl2_2964 <=> converse(sK1) = sK1), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2964])])). 36.38/36.72 fof(f410066,plain,( 36.38/36.72 converse(sK1) = sK1 | ~spl2_2964), 36.38/36.72 inference(avatar_component_clause,[],[f410065])). 36.38/36.72 fof(f410067,plain,( 36.38/36.72 spl2_2964 | ~spl2_8 | ~spl2_36 | ~spl2_2962), 36.38/36.72 inference(avatar_split_clause,[],[f408857,f408742,f168,f76,f410065])). 36.38/36.72 fof(f410070,plain,( 36.38/36.72 ( ! [X1] : (join(sK1,converse(X1)) = converse(join(sK1,X1))) ) | (~spl2_24 | ~spl2_2964)), 36.38/36.72 inference(superposition,[],[f137,f410066])). 36.38/36.72 fof(f410072,plain,( 36.38/36.72 ( ! [X3] : (composition(converse(X3),sK1) = converse(composition(sK1,X3))) ) | (~spl2_26 | ~spl2_2964)), 36.38/36.72 inference(superposition,[],[f141,f410066])). 36.38/36.72 fof(f410092,plain,( 36.38/36.72 composition(sK1,top) = converse(composition(top,sK1)) | (~spl2_730 | ~spl2_2964)), 36.38/36.72 inference(superposition,[],[f20398,f410066])). 36.38/36.72 fof(f410127,plain,( 36.38/36.72 composition(top,sK1) = composition(composition(top,sK1),sK1) | (~spl2_2000 | ~spl2_2964)), 36.38/36.72 inference(superposition,[],[f209549,f410066])). 36.38/36.72 fof(f410775,plain,( 36.38/36.72 spl2_2968 <=> ! [X0] : join(X0,composition(X0,sK1)) = X0), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2968])])). 36.38/36.72 fof(f410776,plain,( 36.38/36.72 ( ! [X0] : (join(X0,composition(X0,sK1)) = X0) ) | ~spl2_2968), 36.38/36.72 inference(avatar_component_clause,[],[f410775])). 36.38/36.72 fof(f410777,plain,( 36.38/36.72 spl2_2968 | ~spl2_510 | ~spl2_2944), 36.38/36.72 inference(avatar_split_clause,[],[f408470,f407405,f9944,f410775])). 36.38/36.72 fof(f410980,plain,( 36.38/36.72 ( ! [X95] : (complement(composition(X95,sK1)) = join(complement(X95),complement(composition(X95,sK1)))) ) | (~spl2_1464 | ~spl2_2968)), 36.38/36.72 inference(superposition,[],[f107922,f410776])). 36.38/36.72 fof(f411047,plain,( 36.38/36.72 ( ! [X169] : (join(converse(composition(converse(X169),sK1)),X169) = converse(converse(X169))) ) | (~spl2_90 | ~spl2_2968)), 36.38/36.72 inference(superposition,[],[f1036,f410776])). 36.38/36.72 fof(f411183,plain,( 36.38/36.72 ( ! [X169] : (join(converse(composition(converse(X169),sK1)),X169) = X169) ) | (~spl2_8 | ~spl2_90 | ~spl2_2968)), 36.38/36.72 inference(forward_demodulation,[],[f411047,f77])). 36.38/36.72 fof(f411184,plain,( 36.38/36.72 ( ! [X169] : (join(composition(converse(sK1),X169),X169) = X169) ) | (~spl2_8 | ~spl2_36 | ~spl2_90 | ~spl2_2968)), 36.38/36.72 inference(forward_demodulation,[],[f411183,f169])). 36.38/36.72 fof(f411185,plain,( 36.38/36.72 ( ! [X169] : (join(composition(sK1,X169),X169) = X169) ) | (~spl2_8 | ~spl2_36 | ~spl2_90 | ~spl2_2964 | ~spl2_2968)), 36.38/36.72 inference(forward_demodulation,[],[f411184,f410066])). 36.38/36.72 fof(f411204,plain,( 36.38/36.72 spl2_2974 <=> ! [X169] : join(composition(sK1,X169),X169) = X169), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2974])])). 36.38/36.72 fof(f411205,plain,( 36.38/36.72 ( ! [X169] : (join(composition(sK1,X169),X169) = X169) ) | ~spl2_2974), 36.38/36.72 inference(avatar_component_clause,[],[f411204])). 36.38/36.72 fof(f411206,plain,( 36.38/36.72 spl2_2974 | ~spl2_8 | ~spl2_36 | ~spl2_90 | ~spl2_2964 | ~spl2_2968), 36.38/36.72 inference(avatar_split_clause,[],[f411185,f410775,f410065,f1035,f168,f76,f411204])). 36.38/36.72 fof(f411648,plain,( 36.38/36.72 ( ! [X12,X13] : (join(X13,X12) = join(X12,join(X13,composition(sK1,X12)))) ) | (~spl2_556 | ~spl2_2974)), 36.38/36.72 inference(superposition,[],[f11078,f411205])). 36.38/36.72 fof(f412836,plain,( 36.38/36.72 spl2_2980 <=> composition(sK1,top) = converse(composition(top,sK1))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2980])])). 36.38/36.72 fof(f412837,plain,( 36.38/36.72 composition(sK1,top) = converse(composition(top,sK1)) | ~spl2_2980), 36.38/36.72 inference(avatar_component_clause,[],[f412836])). 36.38/36.72 fof(f412838,plain,( 36.38/36.72 spl2_2980 | ~spl2_730 | ~spl2_2964), 36.38/36.72 inference(avatar_split_clause,[],[f410092,f410065,f20397,f412836])). 36.38/36.72 fof(f415342,plain,( 36.38/36.72 spl2_2998 <=> ! [X1] : join(sK1,converse(X1)) = converse(join(sK1,X1))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_2998])])). 36.38/36.72 fof(f415343,plain,( 36.38/36.72 ( ! [X1] : (join(sK1,converse(X1)) = converse(join(sK1,X1))) ) | ~spl2_2998), 36.38/36.72 inference(avatar_component_clause,[],[f415342])). 36.38/36.72 fof(f415344,plain,( 36.38/36.72 spl2_2998 | ~spl2_24 | ~spl2_2964), 36.38/36.72 inference(avatar_split_clause,[],[f410070,f410065,f136,f415342])). 36.38/36.72 fof(f415350,plain,( 36.38/36.72 spl2_3002 <=> ! [X3] : composition(converse(X3),sK1) = converse(composition(sK1,X3))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3002])])). 36.38/36.72 fof(f415351,plain,( 36.38/36.72 ( ! [X3] : (composition(converse(X3),sK1) = converse(composition(sK1,X3))) ) | ~spl2_3002), 36.38/36.72 inference(avatar_component_clause,[],[f415350])). 36.38/36.72 fof(f415352,plain,( 36.38/36.72 spl2_3002 | ~spl2_26 | ~spl2_2964), 36.38/36.72 inference(avatar_split_clause,[],[f410072,f410065,f140,f415350])). 36.38/36.72 fof(f415357,plain,( 36.38/36.72 spl2_3004 <=> composition(top,sK1) = composition(composition(top,sK1),sK1)), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3004])])). 36.38/36.72 fof(f415358,plain,( 36.38/36.72 composition(top,sK1) = composition(composition(top,sK1),sK1) | ~spl2_3004), 36.38/36.72 inference(avatar_component_clause,[],[f415357])). 36.38/36.72 fof(f415359,plain,( 36.38/36.72 spl2_3004 | ~spl2_2000 | ~spl2_2964), 36.38/36.72 inference(avatar_split_clause,[],[f410127,f410065,f209548,f415357])). 36.38/36.72 fof(f416858,plain,( 36.38/36.72 ( ! [X2] : (join(X2,sK1) = converse(join(sK1,converse(X2)))) ) | (~spl2_50 | ~spl2_2998)), 36.38/36.72 inference(superposition,[],[f389,f415343])). 36.38/36.72 fof(f417610,plain,( 36.38/36.72 ( ! [X27] : (composition(sK1,X27) = converse(composition(converse(X27),sK1))) ) | (~spl2_8 | ~spl2_3002)), 36.38/36.72 inference(superposition,[],[f77,f415351])). 36.38/36.72 fof(f417937,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(complement(join(complement(composition(top,sK1)),complement(composition(X37,converse(sK1))))),sK1))),complement(join(complement(X37),join(composition(top,sK1),complement(composition(complement(join(complement(composition(top,sK1)),complement(composition(X37,converse(sK1))))),sK1))))))) ) | (~spl2_2236 | ~spl2_3004)), 36.38/36.72 inference(superposition,[],[f245441,f415358])). 36.38/36.72 fof(f418060,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(complement(join(complement(composition(top,sK1)),complement(composition(X37,converse(sK1))))),sK1))),complement(join(complement(X37),top)))) ) | (~spl2_2014 | ~spl2_2236 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f417937,f211475])). 36.38/36.72 fof(f418061,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(complement(join(complement(composition(top,sK1)),complement(composition(X37,converse(sK1))))),sK1))),complement(top))) ) | (~spl2_404 | ~spl2_2014 | ~spl2_2236 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418060,f7150])). 36.38/36.72 fof(f418062,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(complement(join(complement(composition(top,sK1)),complement(composition(X37,converse(sK1))))),sK1))),zero)) ) | (~spl2_0 | ~spl2_404 | ~spl2_2014 | ~spl2_2236 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418061,f55])). 36.38/36.72 fof(f418063,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(complement(join(complement(composition(top,sK1)),complement(composition(X37,sK1)))),sK1))),zero)) ) | (~spl2_0 | ~spl2_404 | ~spl2_2014 | ~spl2_2236 | ~spl2_2964 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418062,f410066])). 36.38/36.72 fof(f418064,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(complement(complement(composition(X37,sK1))),sK1))),zero)) ) | (~spl2_0 | ~spl2_404 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2964 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418063,f212156])). 36.38/36.72 fof(f418065,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(composition(X37,sK1),sK1))),zero)) ) | (~spl2_0 | ~spl2_404 | ~spl2_510 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2964 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418064,f9945])). 36.38/36.72 fof(f418066,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(X37,composition(sK1,sK1)))),zero)) ) | (~spl2_0 | ~spl2_46 | ~spl2_404 | ~spl2_510 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2964 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418065,f275])). 36.38/36.72 fof(f418067,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(top,sK1)),complement(X37)) = join(join(complement(X37),complement(composition(X37,sK1))),zero)) ) | (~spl2_0 | ~spl2_46 | ~spl2_404 | ~spl2_510 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2908 | ~spl2_2964 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418066,f395232])). 36.38/36.72 fof(f418068,plain,( 36.38/36.72 ( ! [X37] : (join(complement(composition(X37,sK1)),zero) = join(complement(composition(top,sK1)),complement(X37))) ) | (~spl2_0 | ~spl2_46 | ~spl2_404 | ~spl2_510 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2908 | ~spl2_2964 | ~spl2_2968 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418067,f410980])). 36.38/36.72 fof(f418069,plain,( 36.38/36.72 ( ! [X37] : (complement(composition(X37,sK1)) = join(complement(composition(top,sK1)),complement(X37))) ) | (~spl2_0 | ~spl2_46 | ~spl2_404 | ~spl2_496 | ~spl2_510 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2908 | ~spl2_2964 | ~spl2_2968 | ~spl2_3004)), 36.38/36.72 inference(forward_demodulation,[],[f418068,f9140])). 36.38/36.72 fof(f418678,plain,( 36.38/36.72 spl2_3008 <=> ! [X2] : join(X2,sK1) = converse(join(sK1,converse(X2)))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3008])])). 36.38/36.72 fof(f418679,plain,( 36.38/36.72 ( ! [X2] : (join(X2,sK1) = converse(join(sK1,converse(X2)))) ) | ~spl2_3008), 36.38/36.72 inference(avatar_component_clause,[],[f418678])). 36.38/36.72 fof(f418680,plain,( 36.38/36.72 spl2_3008 | ~spl2_50 | ~spl2_2998), 36.38/36.72 inference(avatar_split_clause,[],[f416858,f415342,f388,f418678])). 36.38/36.72 fof(f418690,plain,( 36.38/36.72 spl2_3014 <=> ! [X27] : composition(sK1,X27) = converse(composition(converse(X27),sK1))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3014])])). 36.38/36.72 fof(f418691,plain,( 36.38/36.72 ( ! [X27] : (composition(sK1,X27) = converse(composition(converse(X27),sK1))) ) | ~spl2_3014), 36.38/36.72 inference(avatar_component_clause,[],[f418690])). 36.38/36.72 fof(f418692,plain,( 36.38/36.72 spl2_3014 | ~spl2_8 | ~spl2_3002), 36.38/36.72 inference(avatar_split_clause,[],[f417610,f415350,f76,f418690])). 36.38/36.72 fof(f418746,plain,( 36.38/36.72 ( ! [X38] : (join(composition(sK1,X38),sK1) = converse(join(sK1,composition(converse(X38),sK1)))) ) | (~spl2_3002 | ~spl2_3008)), 36.38/36.72 inference(superposition,[],[f418679,f415351])). 36.38/36.72 fof(f418975,plain,( 36.38/36.72 ( ! [X38] : (join(sK1,composition(sK1,X38)) = converse(join(sK1,composition(converse(X38),sK1)))) ) | (~spl2_14 | ~spl2_3002 | ~spl2_3008)), 36.38/36.72 inference(forward_demodulation,[],[f418746,f93])). 36.38/36.72 fof(f420679,plain,( 36.38/36.72 ( ! [X10] : (composition(sK1,join(X10,one)) = converse(composition(join(one,converse(X10)),sK1))) ) | (~spl2_72 | ~spl2_3014)), 36.38/36.72 inference(superposition,[],[f418691,f670])). 36.38/36.72 fof(f420870,plain,( 36.38/36.72 ( ! [X10] : (composition(sK1,join(X10,one)) = converse(join(sK1,composition(converse(X10),sK1)))) ) | (~spl2_62 | ~spl2_72 | ~spl2_132 | ~spl2_3014)), 36.38/36.72 inference(forward_demodulation,[],[f420679,f1963])). 36.38/36.72 fof(f420871,plain,( 36.38/36.72 ( ! [X10] : (join(sK1,composition(sK1,X10)) = composition(sK1,join(X10,one))) ) | (~spl2_14 | ~spl2_62 | ~spl2_72 | ~spl2_132 | ~spl2_3002 | ~spl2_3008 | ~spl2_3014)), 36.38/36.72 inference(forward_demodulation,[],[f420870,f418975])). 36.38/36.72 fof(f599323,plain,( 36.38/36.72 spl2_3628 <=> ! [X1] : join(complement(sK0),converse(X1)) = converse(join(complement(sK0),X1))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3628])])). 36.38/36.72 fof(f599324,plain,( 36.38/36.72 ( ! [X1] : (join(complement(sK0),converse(X1)) = converse(join(complement(sK0),X1))) ) | ~spl2_3628), 36.38/36.72 inference(avatar_component_clause,[],[f599323])). 36.38/36.72 fof(f599325,plain,( 36.38/36.72 spl2_3628 | ~spl2_24 | ~spl2_2644), 36.38/36.72 inference(avatar_split_clause,[],[f337232,f337225,f136,f599323])). 36.38/36.72 fof(f600295,plain,( 36.38/36.72 ( ! [X4] : (join(X4,complement(sK0)) = converse(join(complement(sK0),converse(X4)))) ) | (~spl2_50 | ~spl2_3628)), 36.38/36.72 inference(superposition,[],[f389,f599324])). 36.38/36.72 fof(f606597,plain,( 36.38/36.72 spl2_3822 <=> ! [X22,X23] : join(X22,X23) = join(X22,complement(join(complement(X23),X22)))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3822])])). 36.38/36.72 fof(f606598,plain,( 36.38/36.72 ( ! [X23,X22] : (join(X22,X23) = join(X22,complement(join(complement(X23),X22)))) ) | ~spl2_3822), 36.38/36.72 inference(avatar_component_clause,[],[f606597])). 36.38/36.72 fof(f606599,plain,( 36.38/36.72 spl2_3822 | ~spl2_510 | ~spl2_862 | ~spl2_1260 | ~spl2_1358), 36.38/36.72 inference(avatar_split_clause,[],[f181020,f96913,f85213,f30550,f9944,f606597])). 36.38/36.72 fof(f692479,plain,( 36.38/36.72 spl2_3928 <=> ! [X13,X12] : join(X13,X12) = join(X12,join(X13,composition(sK1,X12)))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3928])])). 36.38/36.72 fof(f692480,plain,( 36.38/36.72 ( ! [X12,X13] : (join(X13,X12) = join(X12,join(X13,composition(sK1,X12)))) ) | ~spl2_3928), 36.38/36.72 inference(avatar_component_clause,[],[f692479])). 36.38/36.72 fof(f692481,plain,( 36.38/36.72 spl2_3928 | ~spl2_556 | ~spl2_2974), 36.38/36.72 inference(avatar_split_clause,[],[f411648,f411204,f11077,f692479])). 36.38/36.72 fof(f692866,plain,( 36.38/36.72 ( ! [X21,X20] : (join(complement(X21),X20) = join(complement(join(complement(join(complement(X21),X20)),complement(X20))),complement(join(X20,X21)))) ) | (~spl2_884 | ~spl2_3822)), 36.38/36.72 inference(superposition,[],[f33827,f606598])). 36.38/36.72 fof(f694467,plain,( 36.38/36.72 ( ! [X21,X20] : (join(complement(X21),X20) = join(complement(join(complement(X20),complement(join(complement(X21),X20)))),complement(join(X20,X21)))) ) | (~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_884 | ~spl2_1250 | ~spl2_1454 | ~spl2_1864 | ~spl2_3822)), 36.38/36.72 inference(forward_demodulation,[],[f692866,f200738])). 36.38/36.72 fof(f694468,plain,( 36.38/36.72 ( ! [X21,X20] : (join(complement(X21),X20) = join(complement(complement(X20)),complement(join(X20,X21)))) ) | (~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_884 | ~spl2_1250 | ~spl2_1454 | ~spl2_1864 | ~spl2_3822)), 36.38/36.72 inference(forward_demodulation,[],[f694467,f105314])). 36.38/36.72 fof(f694469,plain,( 36.38/36.72 ( ! [X21,X20] : (join(complement(X21),X20) = join(X20,complement(join(X20,X21)))) ) | (~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_884 | ~spl2_1250 | ~spl2_1454 | ~spl2_1864 | ~spl2_3822)), 36.38/36.72 inference(forward_demodulation,[],[f694468,f9945])). 36.38/36.72 fof(f694819,plain,( 36.38/36.72 spl2_3932 <=> ! [X20,X21] : join(complement(X21),X20) = join(X20,complement(join(X20,X21)))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3932])])). 36.38/36.72 fof(f694820,plain,( 36.38/36.72 ( ! [X21,X20] : (join(complement(X21),X20) = join(X20,complement(join(X20,X21)))) ) | ~spl2_3932), 36.38/36.72 inference(avatar_component_clause,[],[f694819])). 36.38/36.72 fof(f694821,plain,( 36.38/36.72 spl2_3932 | ~spl2_60 | ~spl2_62 | ~spl2_510 | ~spl2_556 | ~spl2_884 | ~spl2_1250 | ~spl2_1454 | ~spl2_1864 | ~spl2_3822), 36.38/36.72 inference(avatar_split_clause,[],[f694469,f606597,f191950,f105313,f82158,f33826,f11077,f9944,f624,f598,f694819])). 36.38/36.72 fof(f694881,plain,( 36.38/36.72 ( ! [X74,X73] : (join(complement(X74),X73) = join(X73,complement(join(X74,X73)))) ) | (~spl2_14 | ~spl2_3932)), 36.38/36.72 inference(superposition,[],[f694820,f93])). 36.38/36.72 fof(f698177,plain,( 36.38/36.72 spl2_3942 <=> ! [X73,X74] : join(complement(X74),X73) = join(X73,complement(join(X74,X73)))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3942])])). 36.38/36.72 fof(f698178,plain,( 36.38/36.72 ( ! [X74,X73] : (join(complement(X74),X73) = join(X73,complement(join(X74,X73)))) ) | ~spl2_3942), 36.38/36.72 inference(avatar_component_clause,[],[f698177])). 36.38/36.72 fof(f698179,plain,( 36.38/36.72 spl2_3942 | ~spl2_14 | ~spl2_3932), 36.38/36.72 inference(avatar_split_clause,[],[f694881,f694819,f92,f698177])). 36.38/36.72 fof(f727726,plain,( 36.38/36.72 spl2_3998 <=> ! [X10] : join(sK1,composition(sK1,X10)) = composition(sK1,join(X10,one))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_3998])])). 36.38/36.72 fof(f727727,plain,( 36.38/36.72 ( ! [X10] : (join(sK1,composition(sK1,X10)) = composition(sK1,join(X10,one))) ) | ~spl2_3998), 36.38/36.72 inference(avatar_component_clause,[],[f727726])). 36.38/36.72 fof(f727728,plain,( 36.38/36.72 spl2_3998 | ~spl2_14 | ~spl2_62 | ~spl2_72 | ~spl2_132 | ~spl2_3002 | ~spl2_3008 | ~spl2_3014), 36.38/36.72 inference(avatar_split_clause,[],[f420871,f418690,f418678,f415350,f1569,f669,f624,f92,f727726])). 36.38/36.72 fof(f727764,plain,( 36.38/36.72 spl2_4014 <=> ! [X4] : join(X4,complement(sK0)) = converse(join(complement(sK0),converse(X4)))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_4014])])). 36.38/36.72 fof(f727765,plain,( 36.38/36.72 ( ! [X4] : (join(X4,complement(sK0)) = converse(join(complement(sK0),converse(X4)))) ) | ~spl2_4014), 36.38/36.72 inference(avatar_component_clause,[],[f727764])). 36.38/36.72 fof(f727766,plain,( 36.38/36.72 spl2_4014 | ~spl2_50 | ~spl2_3628), 36.38/36.72 inference(avatar_split_clause,[],[f600295,f599323,f388,f727764])). 36.38/36.72 fof(f778054,plain,( 36.38/36.72 join(sK1,composition(sK1,complement(sK0))) = composition(sK1,top) | (~spl2_412 | ~spl2_3998)), 36.38/36.72 inference(superposition,[],[f727727,f7284])). 36.38/36.72 fof(f778719,plain,( 36.38/36.72 spl2_4192 <=> join(sK1,composition(sK1,complement(sK0))) = composition(sK1,top)), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_4192])])). 36.38/36.72 fof(f778720,plain,( 36.38/36.72 join(sK1,composition(sK1,complement(sK0))) = composition(sK1,top) | ~spl2_4192), 36.38/36.72 inference(avatar_component_clause,[],[f778719])). 36.38/36.72 fof(f778721,plain,( 36.38/36.72 spl2_4192 | ~spl2_412 | ~spl2_3998), 36.38/36.72 inference(avatar_split_clause,[],[f778054,f727726,f7283,f778719])). 36.38/36.72 fof(f778733,plain,( 36.38/36.72 join(sK1,complement(sK0)) = join(complement(sK0),composition(sK1,top)) | (~spl2_3928 | ~spl2_4192)), 36.38/36.72 inference(superposition,[],[f692480,f778720])). 36.38/36.72 fof(f782675,plain,( 36.38/36.72 join(composition(top,sK1),complement(sK0)) = converse(join(complement(sK0),composition(sK1,top))) | (~spl2_2980 | ~spl2_4014)), 36.38/36.72 inference(superposition,[],[f727765,f412837])). 36.38/36.72 fof(f783174,plain,( 36.38/36.72 join(composition(top,sK1),complement(sK0)) = converse(join(sK1,complement(sK0))) | (~spl2_2980 | ~spl2_3928 | ~spl2_4014 | ~spl2_4192)), 36.38/36.72 inference(forward_demodulation,[],[f782675,f778733])). 36.38/36.72 fof(f783175,plain,( 36.38/36.72 join(sK1,converse(complement(sK0))) = join(composition(top,sK1),complement(sK0)) | (~spl2_2980 | ~spl2_2998 | ~spl2_3928 | ~spl2_4014 | ~spl2_4192)), 36.38/36.72 inference(forward_demodulation,[],[f783174,f415343])). 36.38/36.72 fof(f783176,plain,( 36.38/36.72 join(sK1,complement(converse(sK0))) = join(composition(top,sK1),complement(sK0)) | (~spl2_2302 | ~spl2_2980 | ~spl2_2998 | ~spl2_3928 | ~spl2_4014 | ~spl2_4192)), 36.38/36.72 inference(forward_demodulation,[],[f783175,f273290])). 36.38/36.72 fof(f783177,plain,( 36.38/36.72 join(sK1,complement(sK0)) = join(composition(top,sK1),complement(sK0)) | (~spl2_2302 | ~spl2_2642 | ~spl2_2980 | ~spl2_2998 | ~spl2_3928 | ~spl2_4014 | ~spl2_4192)), 36.38/36.72 inference(forward_demodulation,[],[f783176,f336843])). 36.38/36.72 fof(f858430,plain,( 36.38/36.72 spl2_4380 <=> join(sK1,complement(sK0)) = join(composition(top,sK1),complement(sK0))), 36.38/36.72 introduced(avatar_definition,[new_symbols(naming,[spl2_4380])])). 36.38/36.72 fof(f858431,plain,( 36.38/36.72 join(sK1,complement(sK0)) = join(composition(top,sK1),complement(sK0)) | ~spl2_4380), 36.38/36.72 inference(avatar_component_clause,[],[f858430])). 36.38/36.72 fof(f858432,plain,( 36.38/36.72 spl2_4380 | ~spl2_2302 | ~spl2_2642 | ~spl2_2980 | ~spl2_2998 | ~spl2_3928 | ~spl2_4014 | ~spl2_4192), 36.38/36.72 inference(avatar_split_clause,[],[f783177,f778719,f727764,f692479,f415342,f412836,f336842,f273289,f858430])). 36.38/36.72 fof(f934292,plain,( 36.38/36.72 join(complement(composition(top,sK1)),complement(sK0)) = join(complement(sK0),complement(join(sK1,complement(sK0)))) | (~spl2_3942 | ~spl2_4380)), 36.38/36.72 inference(superposition,[],[f698178,f858431])). 36.38/36.72 fof(f934407,plain,( 36.38/36.72 join(complement(sK0),complement(sK1)) = join(complement(composition(top,sK1)),complement(sK0)) | (~spl2_14 | ~spl2_66 | ~spl2_510 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1254 | ~spl2_3942 | ~spl2_4380)), 36.38/36.72 inference(forward_demodulation,[],[f934292,f85706])). 36.38/36.72 fof(f934408,plain,( 36.38/36.72 complement(composition(sK0,sK1)) = join(complement(sK0),complement(sK1)) | (~spl2_0 | ~spl2_14 | ~spl2_46 | ~spl2_66 | ~spl2_404 | ~spl2_496 | ~spl2_510 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1254 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2908 | ~spl2_2964 | ~spl2_2968 | ~spl2_3004 | ~spl2_3942 | ~spl2_4380)), 36.38/36.72 inference(forward_demodulation,[],[f934407,f418069])). 36.38/36.72 fof(f934411,plain,( 36.38/36.72 complement(complement(composition(sK0,sK1))) != composition(sK0,sK1) | (~spl2_0 | ~spl2_14 | ~spl2_23 | ~spl2_46 | ~spl2_66 | ~spl2_404 | ~spl2_496 | ~spl2_510 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1254 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2908 | ~spl2_2964 | ~spl2_2968 | ~spl2_3004 | ~spl2_3942 | ~spl2_4380)), 36.38/36.72 inference(backward_demodulation,[],[f934408,f133])). 36.38/36.72 fof(f934847,plain,( 36.38/36.72 $false | (~spl2_0 | ~spl2_14 | ~spl2_23 | ~spl2_46 | ~spl2_66 | ~spl2_404 | ~spl2_496 | ~spl2_510 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1254 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2908 | ~spl2_2964 | ~spl2_2968 | ~spl2_3004 | ~spl2_3942 | ~spl2_4380)), 36.38/36.72 inference(subsumption_resolution,[],[f934411,f9945])). 36.38/36.72 fof(f934848,plain,( 36.38/36.72 ~spl2_0 | ~spl2_14 | spl2_23 | ~spl2_46 | ~spl2_66 | ~spl2_404 | ~spl2_496 | ~spl2_510 | ~spl2_862 | ~spl2_884 | ~spl2_1248 | ~spl2_1254 | ~spl2_1464 | ~spl2_2012 | ~spl2_2014 | ~spl2_2236 | ~spl2_2908 | ~spl2_2964 | ~spl2_2968 | ~spl2_3004 | ~spl2_3942 | ~spl2_4380), 36.38/36.72 inference(avatar_contradiction_clause,[],[f934847])). 36.38/36.72 fof(f934878,plain,( 36.38/36.72 $false), 36.38/36.72 inference(avatar_sat_refutation,[],[f56,f63,f70,f74,f78,f82,f90,f94,f113,f120,f134,f138,f142,f154,f158,f162,f170,f190,f204,f276,f322,f390,f442,f584,f600,f626,f636,f640,f667,f671,f725,f732,f843,f1033,f1037,f1316,f1320,f1340,f1356,f1366,f1380,f1414,f1447,f1534,f1538,f1567,f1571,f1586,f1619,f1634,f1682,f1766,f1833,f1898,f2276,f2296,f2532,f2746,f2754,f2980,f3070,f3074,f3078,f3128,f3145,f3207,f3224,f3348,f3364,f4014,f4527,f4865,f5701,f5843,f5884,f5903,f5948,f5960,f5967,f5996,f6079,f6429,f7105,f7151,f7232,f7285,f7681,f7688,f7774,f8426,f9141,f9254,f9308,f9312,f9450,f9536,f9613,f9946,f10011,f10376,f10380,f10388,f11079,f11365,f11457,f12380,f12838,f15951,f16256,f16546,f16782,f17980,f18692,f18760,f19903,f20029,f20399,f21121,f30552,f33793,f33800,f33828,f33912,f34623,f35610,f54741,f73655,f78677,f82156,f82160,f85203,f85215,f96915,f101770,f105315,f107923,f112874,f112881,f113185,f173754,f187464,f189640,f190803,f191743,f191952,f195743,f209264,f209550,f211080,f211084,f211476,f213194,f224948,f224952,f225902,f226654,f238264,f245442,f264932,f267089,f267093,f273291,f274250,f288566,f288582,f316863,f317946,f334261,f335630,f336844,f337227,f394242,f395233,f397486,f407407,f408744,f410067,f410777,f411206,f412838,f415344,f415352,f415359,f418680,f418692,f599325,f606599,f692481,f694821,f698179,f727728,f727766,f778721,f858432,f934848])). 36.38/36.72 % SZS output end Proof for theBenchmark 36.38/36.72 % ------------------------------ 36.38/36.72 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 36.38/36.72 % Termination reason: Refutation 36.38/36.72 36.38/36.72 % Memory used [KB]: 836788 36.38/36.72 % Time elapsed: 22.340 s 36.38/36.72 % ------------------------------ 36.38/36.72 % ------------------------------ 36.53/36.89 % Success in time 36.393 s 36.53/36.90 EOF