0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : vampire --mode casc -t %d %s 0.10/0.32 % Computer : n007.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % DateTime : Thu Jul 2 07:37:25 EDT 2020 0.10/0.32 % CPUTime : 0.16/0.39 % lrs+11_24_add=large:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=fast:fde=unused:gs=on:irw=on:lma=on:nm=4:nwc=1.3:nicw=on:sas=z3:stl=30:sac=on:sp=reverse_arity:uhcvi=on_136 on theBenchmark 18.12/18.18 % Time limit reached! 18.12/18.18 % ------------------------------ 18.12/18.18 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 18.12/18.18 % Termination reason: Time limit 18.12/18.18 % Termination phase: Saturation 18.12/18.18 18.12/18.18 % Memory used [KB]: 701566 18.12/18.18 % Time elapsed: 17.800 s 18.12/18.18 % ------------------------------ 18.12/18.18 % ------------------------------ 18.23/18.28 % lrs+11_5_av=off:cond=on:fsr=off:lma=on:lwlo=on:nwc=1.2:sas=z3:stl=30:sp=reverse_arity:updr=off_123 on theBenchmark 34.59/34.38 % Time limit reached! 34.59/34.38 % ------------------------------ 34.59/34.38 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 34.59/34.38 % Termination reason: Time limit 34.59/34.38 % Termination phase: Saturation 34.59/34.38 34.59/34.38 % Memory used [KB]: 493680 34.59/34.38 % Time elapsed: 16.100 s 34.59/34.38 % ------------------------------ 34.59/34.38 % ------------------------------ 34.62/34.47 % 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 36.45/36.27 % Time limit reached! 36.45/36.27 % ------------------------------ 36.45/36.27 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 36.45/36.27 % Termination reason: Time limit 36.45/36.27 % Termination phase: Saturation 36.45/36.27 36.45/36.27 % Memory used [KB]: 77397 36.45/36.27 % Time elapsed: 1.800 s 36.45/36.27 % ------------------------------ 36.45/36.27 % ------------------------------ 36.52/36.34 % lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_75 on theBenchmark 46.56/46.23 % Time limit reached! 46.56/46.23 % ------------------------------ 46.56/46.23 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 46.56/46.23 % Termination reason: Time limit 46.56/46.23 % Termination phase: Saturation 46.56/46.23 46.56/46.23 % Memory used [KB]: 260976 46.56/46.23 % Time elapsed: 9.900 s 46.56/46.23 % ------------------------------ 46.56/46.23 % ------------------------------ 46.56/46.31 % dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_3 on theBenchmark 47.17/46.90 % Time limit reached! 47.17/46.90 % ------------------------------ 47.17/46.90 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 47.17/46.90 % Termination reason: Time limit 47.17/46.90 % Termination phase: Saturation 47.17/46.90 47.17/46.90 % Memory used [KB]: 34541 47.17/46.90 % Time elapsed: 0.600 s 47.17/46.90 % ------------------------------ 47.17/46.90 % ------------------------------ 47.24/46.93 % ott+1010_8:1_add=off:afp=4000:afq=1.4:amm=off:anc=all:bd=off:bsr=on:fsr=off:fde=unused:irw=on:lma=on:nwc=4:nicw=on:sac=on:sp=reverse_arity:urr=on:updr=off:uhcvi=on_10 on theBenchmark 48.69/48.43 % Time limit reached! 48.69/48.43 % ------------------------------ 48.69/48.43 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 48.69/48.43 % Termination reason: Time limit 48.69/48.43 % Termination phase: Saturation 48.69/48.43 48.69/48.43 % Memory used [KB]: 121661 48.69/48.43 % Time elapsed: 1.500 s 48.69/48.43 % ------------------------------ 48.69/48.43 % ------------------------------ 48.79/48.47 % 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 50.30/49.97 % Time limit reached! 50.30/49.97 % ------------------------------ 50.30/49.97 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 50.30/49.97 % Termination reason: Time limit 50.30/49.97 % Termination phase: Saturation 50.30/49.97 50.30/49.97 % Memory used [KB]: 84177 50.30/49.97 % Time elapsed: 1.500 s 50.30/49.97 % ------------------------------ 50.30/49.97 % ------------------------------ 50.30/50.00 % 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 72.27/71.71 % Refutation found. Thanks to Tanya! 72.27/71.71 % SZS status Theorem for theBenchmark 72.27/71.71 % SZS output start Proof for theBenchmark 72.27/71.71 fof(f835420,plain,( 72.27/71.71 $false), 72.27/71.71 inference(avatar_sat_refutation,[],[f52,f56,f60,f64,f72,f76,f83,f87,f91,f103,f107,f111,f115,f119,f123,f159,f175,f190,f301,f420,f492,f515,f644,f818,f838,f863,f1012,f1016,f1278,f1282,f1311,f1350,f1456,f1594,f1658,f1669,f1691,f1743,f1877,f1937,f2130,f2231,f2422,f2581,f2929,f2943,f3001,f3037,f3069,f3111,f3115,f3201,f3256,f3301,f3397,f3568,f4778,f4940,f5165,f5569,f15401,f16830,f19196,f23975,f24126,f24161,f24877,f25056,f27769,f42828,f62445,f71084,f100321,f100345,f110860,f111240,f112476,f113490,f120331,f137922,f453073,f491374,f575047,f575714,f774431,f835040])). 72.27/71.71 fof(f835040,plain,( 72.27/71.71 spl1_13 | ~spl1_212 | ~spl1_1066 | ~spl1_2470), 72.27/71.71 inference(avatar_contradiction_clause,[],[f834830])). 72.27/71.71 fof(f834830,plain,( 72.27/71.71 $false | (~spl1_13 | ~spl1_212 | ~spl1_1066 | ~spl1_2470)), 72.27/71.71 inference(subsumption_resolution,[],[f82,f834829])). 72.27/71.71 fof(f834829,plain,( 72.27/71.71 ( ! [X1] : (complement(composition(X1,top)) = composition(complement(composition(X1,top)),top)) ) | (~spl1_212 | ~spl1_1066 | ~spl1_2470)), 72.27/71.71 inference(forward_demodulation,[],[f834669,f3000])). 72.27/71.71 fof(f3000,plain,( 72.27/71.71 complement(zero) = top | ~spl1_212), 72.27/71.71 inference(avatar_component_clause,[],[f2999])). 72.27/71.71 fof(f2999,plain,( 72.27/71.71 spl1_212 <=> complement(zero) = top), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_212])])). 72.27/71.71 fof(f834669,plain,( 72.27/71.71 ( ! [X1] : (complement(composition(X1,top)) = composition(complement(composition(X1,top)),complement(zero))) ) | (~spl1_1066 | ~spl1_2470)), 72.27/71.71 inference(superposition,[],[f774430,f120330])). 72.27/71.71 fof(f120330,plain,( 72.27/71.71 ( ! [X6,X7] : (composition(complement(converse(composition(X6,top))),composition(X6,X7)) = zero) ) | ~spl1_1066), 72.27/71.71 inference(avatar_component_clause,[],[f120329])). 72.27/71.71 fof(f120329,plain,( 72.27/71.71 spl1_1066 <=> ! [X7,X6] : composition(complement(converse(composition(X6,top))),composition(X6,X7)) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_1066])])). 72.27/71.71 fof(f774430,plain,( 72.27/71.71 ( ! [X0] : (complement(X0) = composition(complement(X0),complement(composition(complement(converse(X0)),X0)))) ) | ~spl1_2470), 72.27/71.71 inference(avatar_component_clause,[],[f774429])). 72.27/71.71 fof(f774429,plain,( 72.27/71.71 spl1_2470 <=> ! [X0] : complement(X0) = composition(complement(X0),complement(composition(complement(converse(X0)),X0)))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_2470])])). 72.27/71.71 fof(f82,plain,( 72.27/71.71 complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top) | ~spl1_13), 72.27/71.71 inference(avatar_component_clause,[],[f81])). 72.27/71.71 fof(f81,plain,( 72.27/71.71 spl1_13 <=> complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top)), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])). 72.27/71.71 fof(f774431,plain,( 72.27/71.71 spl1_2470 | ~spl1_222 | ~spl1_1024 | ~spl1_2112), 72.27/71.71 inference(avatar_split_clause,[],[f576017,f575712,f113488,f3199,f774429])). 72.27/71.71 fof(f3199,plain,( 72.27/71.71 spl1_222 <=> ! [X0] : complement(complement(X0)) = X0), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_222])])). 72.27/71.71 fof(f113488,plain,( 72.27/71.71 spl1_1024 <=> ! [X1] : complement(converse(X1)) = converse(complement(X1))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_1024])])). 72.27/71.71 fof(f575712,plain,( 72.27/71.71 spl1_2112 <=> ! [X173] : composition(X173,complement(composition(converse(X173),complement(X173)))) = X173), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_2112])])). 72.27/71.71 fof(f576017,plain,( 72.27/71.71 ( ! [X0] : (complement(X0) = composition(complement(X0),complement(composition(complement(converse(X0)),X0)))) ) | (~spl1_222 | ~spl1_1024 | ~spl1_2112)), 72.27/71.71 inference(forward_demodulation,[],[f575715,f3200])). 72.27/71.71 fof(f3200,plain,( 72.27/71.71 ( ! [X0] : (complement(complement(X0)) = X0) ) | ~spl1_222), 72.27/71.71 inference(avatar_component_clause,[],[f3199])). 72.27/71.71 fof(f575715,plain,( 72.27/71.71 ( ! [X0] : (complement(X0) = composition(complement(X0),complement(composition(complement(converse(X0)),complement(complement(X0)))))) ) | (~spl1_1024 | ~spl1_2112)), 72.27/71.71 inference(superposition,[],[f575713,f113489])). 72.27/71.71 fof(f113489,plain,( 72.27/71.71 ( ! [X1] : (complement(converse(X1)) = converse(complement(X1))) ) | ~spl1_1024), 72.27/71.71 inference(avatar_component_clause,[],[f113488])). 72.27/71.71 fof(f575713,plain,( 72.27/71.71 ( ! [X173] : (composition(X173,complement(composition(converse(X173),complement(X173)))) = X173) ) | ~spl1_2112), 72.27/71.71 inference(avatar_component_clause,[],[f575712])). 72.27/71.71 fof(f575714,plain,( 72.27/71.71 spl1_2112 | ~spl1_4 | ~spl1_14 | ~spl1_18 | ~spl1_1022 | ~spl1_2110), 72.27/71.71 inference(avatar_split_clause,[],[f575530,f575045,f112474,f101,f85,f58,f575712])). 72.27/71.71 fof(f58,plain,( 72.27/71.71 spl1_4 <=> ! [X0] : converse(converse(X0)) = X0), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 72.27/71.71 fof(f85,plain,( 72.27/71.71 spl1_14 <=> ! [X1,X0] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])). 72.27/71.71 fof(f101,plain,( 72.27/71.71 spl1_18 <=> ! [X1,X0] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 72.27/71.71 fof(f112474,plain,( 72.27/71.71 spl1_1022 <=> ! [X229] : complement(X229) = converse(complement(converse(X229)))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_1022])])). 72.27/71.71 fof(f575045,plain,( 72.27/71.71 spl1_2110 <=> ! [X0] : composition(complement(composition(complement(X0),converse(X0))),X0) = X0), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_2110])])). 72.27/71.71 fof(f575530,plain,( 72.27/71.71 ( ! [X173] : (composition(X173,complement(composition(converse(X173),complement(X173)))) = X173) ) | (~spl1_4 | ~spl1_14 | ~spl1_18 | ~spl1_1022 | ~spl1_2110)), 72.27/71.71 inference(forward_demodulation,[],[f575529,f59])). 72.27/71.71 fof(f59,plain,( 72.27/71.71 ( ! [X0] : (converse(converse(X0)) = X0) ) | ~spl1_4), 72.27/71.71 inference(avatar_component_clause,[],[f58])). 72.27/71.71 fof(f575529,plain,( 72.27/71.71 ( ! [X173] : (converse(converse(X173)) = composition(X173,complement(composition(converse(X173),complement(X173))))) ) | (~spl1_14 | ~spl1_18 | ~spl1_1022 | ~spl1_2110)), 72.27/71.71 inference(forward_demodulation,[],[f575528,f112519])). 72.27/71.71 fof(f112519,plain,( 72.27/71.71 ( ! [X33,X34] : (converse(composition(complement(converse(X33)),X34)) = composition(converse(X34),complement(X33))) ) | (~spl1_14 | ~spl1_1022)), 72.27/71.71 inference(superposition,[],[f86,f112475])). 72.27/71.71 fof(f112475,plain,( 72.27/71.71 ( ! [X229] : (complement(X229) = converse(complement(converse(X229)))) ) | ~spl1_1022), 72.27/71.71 inference(avatar_component_clause,[],[f112474])). 72.27/71.71 fof(f86,plain,( 72.27/71.71 ( ! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) ) | ~spl1_14), 72.27/71.71 inference(avatar_component_clause,[],[f85])). 72.27/71.71 fof(f575528,plain,( 72.27/71.71 ( ! [X173] : (converse(converse(X173)) = composition(X173,complement(converse(composition(complement(converse(X173)),X173))))) ) | (~spl1_14 | ~spl1_18 | ~spl1_1022 | ~spl1_2110)), 72.27/71.71 inference(forward_demodulation,[],[f575527,f86])). 72.27/71.71 fof(f575527,plain,( 72.27/71.71 ( ! [X173] : (converse(converse(X173)) = composition(X173,complement(composition(converse(X173),converse(complement(converse(X173))))))) ) | (~spl1_18 | ~spl1_1022 | ~spl1_2110)), 72.27/71.71 inference(forward_demodulation,[],[f575222,f112483])). 72.27/71.71 fof(f112483,plain,( 72.27/71.71 ( ! [X6,X7] : (complement(composition(X6,converse(X7))) = converse(complement(composition(X7,converse(X6))))) ) | (~spl1_18 | ~spl1_1022)), 72.27/71.71 inference(superposition,[],[f112475,f102])). 72.27/71.71 fof(f102,plain,( 72.27/71.71 ( ! [X0,X1] : (converse(composition(X1,converse(X0))) = composition(X0,converse(X1))) ) | ~spl1_18), 72.27/71.71 inference(avatar_component_clause,[],[f101])). 72.27/71.71 fof(f575222,plain,( 72.27/71.71 ( ! [X173] : (converse(converse(X173)) = composition(X173,converse(complement(composition(complement(converse(X173)),converse(converse(X173))))))) ) | (~spl1_18 | ~spl1_2110)), 72.27/71.71 inference(superposition,[],[f102,f575046])). 72.27/71.71 fof(f575046,plain,( 72.27/71.71 ( ! [X0] : (composition(complement(composition(complement(X0),converse(X0))),X0) = X0) ) | ~spl1_2110), 72.27/71.71 inference(avatar_component_clause,[],[f575045])). 72.27/71.71 fof(f575047,plain,( 72.27/71.71 spl1_2110 | ~spl1_10 | ~spl1_222 | ~spl1_406 | ~spl1_756 | ~spl1_1154 | ~spl1_2050), 72.27/71.71 inference(avatar_split_clause,[],[f574772,f491372,f137920,f62443,f16828,f3199,f74,f575045])). 72.27/71.71 fof(f74,plain,( 72.27/71.71 spl1_10 <=> ! [X1,X0] : join(X0,X1) = join(X1,X0)), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 72.27/71.71 fof(f16828,plain,( 72.27/71.71 spl1_406 <=> ! [X3,X2] : complement(X2) = join(complement(join(X2,X3)),complement(X2))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_406])])). 72.27/71.71 fof(f62443,plain,( 72.27/71.71 spl1_756 <=> ! [X25,X24] : composition(join(X25,one),X24) = join(X24,composition(X25,X24))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_756])])). 72.27/71.71 fof(f137920,plain,( 72.27/71.71 spl1_1154 <=> ! [X30] : complement(one) = join(composition(complement(X30),converse(X30)),complement(one))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_1154])])). 72.27/71.71 fof(f491372,plain,( 72.27/71.71 spl1_2050 <=> ! [X643,X644] : join(X644,composition(complement(composition(complement(X644),converse(X643))),X643)) = X644), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_2050])])). 72.27/71.71 fof(f574772,plain,( 72.27/71.71 ( ! [X0] : (composition(complement(composition(complement(X0),converse(X0))),X0) = X0) ) | (~spl1_10 | ~spl1_222 | ~spl1_406 | ~spl1_756 | ~spl1_1154 | ~spl1_2050)), 72.27/71.71 inference(forward_demodulation,[],[f574771,f145243])). 72.27/71.71 fof(f145243,plain,( 72.27/71.71 ( ! [X101] : (complement(composition(complement(X101),converse(X101))) = join(one,complement(composition(complement(X101),converse(X101))))) ) | (~spl1_222 | ~spl1_406 | ~spl1_1154)), 72.27/71.71 inference(forward_demodulation,[],[f145150,f3200])). 72.27/71.71 fof(f145150,plain,( 72.27/71.71 ( ! [X101] : (complement(composition(complement(X101),converse(X101))) = join(complement(complement(one)),complement(composition(complement(X101),converse(X101))))) ) | (~spl1_406 | ~spl1_1154)), 72.27/71.71 inference(superposition,[],[f16829,f137921])). 72.27/71.71 fof(f137921,plain,( 72.27/71.71 ( ! [X30] : (complement(one) = join(composition(complement(X30),converse(X30)),complement(one))) ) | ~spl1_1154), 72.27/71.71 inference(avatar_component_clause,[],[f137920])). 72.27/71.71 fof(f16829,plain,( 72.27/71.71 ( ! [X2,X3] : (complement(X2) = join(complement(join(X2,X3)),complement(X2))) ) | ~spl1_406), 72.27/71.71 inference(avatar_component_clause,[],[f16828])). 72.27/71.71 fof(f574771,plain,( 72.27/71.71 ( ! [X0] : (composition(join(one,complement(composition(complement(X0),converse(X0)))),X0) = X0) ) | (~spl1_10 | ~spl1_756 | ~spl1_2050)), 72.27/71.71 inference(forward_demodulation,[],[f574281,f75])). 72.27/71.71 fof(f75,plain,( 72.27/71.71 ( ! [X0,X1] : (join(X0,X1) = join(X1,X0)) ) | ~spl1_10), 72.27/71.71 inference(avatar_component_clause,[],[f74])). 72.27/71.71 fof(f574281,plain,( 72.27/71.71 ( ! [X0] : (composition(join(complement(composition(complement(X0),converse(X0))),one),X0) = X0) ) | (~spl1_756 | ~spl1_2050)), 72.27/71.71 inference(superposition,[],[f491373,f62444])). 72.27/71.71 fof(f62444,plain,( 72.27/71.71 ( ! [X24,X25] : (composition(join(X25,one),X24) = join(X24,composition(X25,X24))) ) | ~spl1_756), 72.27/71.71 inference(avatar_component_clause,[],[f62443])). 72.27/71.71 fof(f491373,plain,( 72.27/71.71 ( ! [X644,X643] : (join(X644,composition(complement(composition(complement(X644),converse(X643))),X643)) = X644) ) | ~spl1_2050), 72.27/71.71 inference(avatar_component_clause,[],[f491372])). 72.27/71.71 fof(f491374,plain,( 72.27/71.71 spl1_2050 | ~spl1_4 | ~spl1_14 | ~spl1_20 | ~spl1_80 | ~spl1_1022 | ~spl1_1024 | ~spl1_1832), 72.27/71.71 inference(avatar_split_clause,[],[f457470,f453071,f113488,f112474,f1010,f105,f85,f58,f491372])). 72.27/71.71 fof(f105,plain,( 72.27/71.71 spl1_20 <=> ! [X1,X0] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0)), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])). 72.27/71.71 fof(f1010,plain,( 72.27/71.71 spl1_80 <=> ! [X5,X4] : converse(join(X5,converse(X4))) = join(X4,converse(X5))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_80])])). 72.27/71.71 fof(f453071,plain,( 72.27/71.71 spl1_1832 <=> ! [X3,X2] : join(composition(converse(X3),complement(composition(X3,complement(X2)))),X2) = X2), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_1832])])). 72.27/71.71 fof(f457470,plain,( 72.27/71.71 ( ! [X644,X643] : (join(X644,composition(complement(composition(complement(X644),converse(X643))),X643)) = X644) ) | (~spl1_4 | ~spl1_14 | ~spl1_20 | ~spl1_80 | ~spl1_1022 | ~spl1_1024 | ~spl1_1832)), 72.27/71.71 inference(forward_demodulation,[],[f457469,f59])). 72.27/71.71 fof(f457469,plain,( 72.27/71.71 ( ! [X644,X643] : (converse(converse(X644)) = join(X644,composition(complement(composition(complement(X644),converse(X643))),X643))) ) | (~spl1_14 | ~spl1_20 | ~spl1_80 | ~spl1_1022 | ~spl1_1024 | ~spl1_1832)), 72.27/71.71 inference(forward_demodulation,[],[f457468,f112520])). 72.27/71.71 fof(f112520,plain,( 72.27/71.71 ( ! [X35,X36] : (converse(composition(X36,complement(converse(X35)))) = composition(complement(X35),converse(X36))) ) | (~spl1_14 | ~spl1_1022)), 72.27/71.71 inference(superposition,[],[f86,f112475])). 72.27/71.71 fof(f457468,plain,( 72.27/71.71 ( ! [X644,X643] : (converse(converse(X644)) = join(X644,composition(complement(converse(composition(X643,complement(converse(X644))))),X643))) ) | (~spl1_20 | ~spl1_80 | ~spl1_1024 | ~spl1_1832)), 72.27/71.71 inference(forward_demodulation,[],[f457467,f113489])). 72.27/71.71 fof(f457467,plain,( 72.27/71.71 ( ! [X644,X643] : (converse(converse(X644)) = join(X644,composition(converse(complement(composition(X643,complement(converse(X644))))),X643))) ) | (~spl1_20 | ~spl1_80 | ~spl1_1832)), 72.27/71.71 inference(forward_demodulation,[],[f457075,f106])). 72.27/71.71 fof(f106,plain,( 72.27/71.71 ( ! [X0,X1] : (converse(composition(converse(X0),X1)) = composition(converse(X1),X0)) ) | ~spl1_20), 72.27/71.71 inference(avatar_component_clause,[],[f105])). 72.27/71.71 fof(f457075,plain,( 72.27/71.71 ( ! [X644,X643] : (converse(converse(X644)) = join(X644,converse(composition(converse(X643),complement(composition(X643,complement(converse(X644)))))))) ) | (~spl1_80 | ~spl1_1832)), 72.27/71.71 inference(superposition,[],[f1011,f453072])). 72.27/71.71 fof(f453072,plain,( 72.27/71.71 ( ! [X2,X3] : (join(composition(converse(X3),complement(composition(X3,complement(X2)))),X2) = X2) ) | ~spl1_1832), 72.27/71.71 inference(avatar_component_clause,[],[f453071])). 72.27/71.71 fof(f1011,plain,( 72.27/71.71 ( ! [X4,X5] : (converse(join(X5,converse(X4))) = join(X4,converse(X5))) ) | ~spl1_80), 72.27/71.71 inference(avatar_component_clause,[],[f1010])). 72.27/71.71 fof(f453073,plain,( 72.27/71.71 spl1_1832 | ~spl1_86 | ~spl1_222), 72.27/71.71 inference(avatar_split_clause,[],[f3206,f3199,f1280,f453071])). 72.27/71.71 fof(f1280,plain,( 72.27/71.71 spl1_86 <=> ! [X1,X0] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_86])])). 72.27/71.71 fof(f3206,plain,( 72.27/71.71 ( ! [X2,X3] : (join(composition(converse(X3),complement(composition(X3,complement(X2)))),X2) = X2) ) | (~spl1_86 | ~spl1_222)), 72.27/71.71 inference(superposition,[],[f1281,f3200])). 72.27/71.71 fof(f1281,plain,( 72.27/71.71 ( ! [X0,X1] : (complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))) ) | ~spl1_86), 72.27/71.71 inference(avatar_component_clause,[],[f1280])). 72.27/71.71 fof(f137922,plain,( 72.27/71.71 spl1_1154 | ~spl1_966 | ~spl1_1022), 72.27/71.71 inference(avatar_split_clause,[],[f112516,f112474,f100319,f137920])). 72.27/71.71 fof(f100319,plain,( 72.27/71.71 spl1_966 <=> ! [X0] : complement(one) = join(composition(converse(complement(X0)),X0),complement(one))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_966])])). 72.27/71.71 fof(f112516,plain,( 72.27/71.71 ( ! [X30] : (complement(one) = join(composition(complement(X30),converse(X30)),complement(one))) ) | (~spl1_966 | ~spl1_1022)), 72.27/71.71 inference(superposition,[],[f100320,f112475])). 72.27/71.71 fof(f100320,plain,( 72.27/71.71 ( ! [X0] : (complement(one) = join(composition(converse(complement(X0)),X0),complement(one))) ) | ~spl1_966), 72.27/71.71 inference(avatar_component_clause,[],[f100319])). 72.27/71.71 fof(f120331,plain,( 72.27/71.71 spl1_1066 | ~spl1_4 | ~spl1_786 | ~spl1_1022), 72.27/71.71 inference(avatar_split_clause,[],[f112776,f112474,f71082,f58,f120329])). 72.27/71.71 fof(f71082,plain,( 72.27/71.71 spl1_786 <=> ! [X7,X6] : composition(converse(complement(composition(X6,top))),composition(X6,X7)) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_786])])). 72.27/71.71 fof(f112776,plain,( 72.27/71.71 ( ! [X6,X7] : (composition(complement(converse(composition(X6,top))),composition(X6,X7)) = zero) ) | (~spl1_4 | ~spl1_786 | ~spl1_1022)), 72.27/71.71 inference(backward_demodulation,[],[f112479,f71083])). 72.27/71.71 fof(f71083,plain,( 72.27/71.71 ( ! [X6,X7] : (composition(converse(complement(composition(X6,top))),composition(X6,X7)) = zero) ) | ~spl1_786), 72.27/71.71 inference(avatar_component_clause,[],[f71082])). 72.27/71.71 fof(f112479,plain,( 72.27/71.71 ( ! [X1] : (complement(converse(X1)) = converse(complement(X1))) ) | (~spl1_4 | ~spl1_1022)), 72.27/71.71 inference(superposition,[],[f112475,f59])). 72.27/71.71 fof(f113490,plain,( 72.27/71.71 spl1_1024 | ~spl1_4 | ~spl1_1022), 72.27/71.71 inference(avatar_split_clause,[],[f112479,f112474,f58,f113488])). 72.27/71.71 fof(f112476,plain,( 72.27/71.71 spl1_1022 | ~spl1_0 | ~spl1_164 | ~spl1_218 | ~spl1_222 | ~spl1_978 | ~spl1_1018), 72.27/71.71 inference(avatar_split_clause,[],[f111919,f111238,f100343,f3199,f3109,f2229,f50,f112474])). 72.27/71.71 fof(f50,plain,( 72.27/71.71 spl1_0 <=> complement(top) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_0])])). 72.27/71.71 fof(f2229,plain,( 72.27/71.71 spl1_164 <=> ! [X5] : join(converse(complement(converse(X5))),X5) = top), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_164])])). 72.27/71.71 fof(f3109,plain,( 72.27/71.71 spl1_218 <=> ! [X4] : join(zero,X4) = X4), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_218])])). 72.27/71.71 fof(f100343,plain,( 72.27/71.71 spl1_978 <=> ! [X1,X0] : join(X0,complement(X1)) = join(complement(join(X0,X1)),X0)), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_978])])). 72.27/71.71 fof(f111238,plain,( 72.27/71.71 spl1_1018 <=> ! [X193] : join(converse(complement(converse(complement(X193)))),X193) = X193), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_1018])])). 72.27/71.71 fof(f111919,plain,( 72.27/71.71 ( ! [X229] : (complement(X229) = converse(complement(converse(X229)))) ) | (~spl1_0 | ~spl1_164 | ~spl1_218 | ~spl1_222 | ~spl1_978 | ~spl1_1018)), 72.27/71.71 inference(backward_demodulation,[],[f111664,f110272])). 72.27/71.71 fof(f110272,plain,( 72.27/71.71 ( ! [X229] : (converse(complement(converse(X229))) = join(converse(complement(converse(X229))),complement(X229))) ) | (~spl1_0 | ~spl1_164 | ~spl1_218 | ~spl1_978)), 72.27/71.71 inference(forward_demodulation,[],[f110271,f3110])). 72.27/71.71 fof(f3110,plain,( 72.27/71.71 ( ! [X4] : (join(zero,X4) = X4) ) | ~spl1_218), 72.27/71.71 inference(avatar_component_clause,[],[f3109])). 72.27/71.71 fof(f110271,plain,( 72.27/71.71 ( ! [X229] : (join(zero,converse(complement(converse(X229)))) = join(converse(complement(converse(X229))),complement(X229))) ) | (~spl1_0 | ~spl1_164 | ~spl1_978)), 72.27/71.71 inference(forward_demodulation,[],[f109608,f51])). 72.27/71.71 fof(f51,plain,( 72.27/71.71 complement(top) = zero | ~spl1_0), 72.27/71.71 inference(avatar_component_clause,[],[f50])). 72.27/71.71 fof(f109608,plain,( 72.27/71.71 ( ! [X229] : (join(complement(top),converse(complement(converse(X229)))) = join(converse(complement(converse(X229))),complement(X229))) ) | (~spl1_164 | ~spl1_978)), 72.27/71.71 inference(superposition,[],[f100344,f2230])). 72.27/71.71 fof(f2230,plain,( 72.27/71.71 ( ! [X5] : (join(converse(complement(converse(X5))),X5) = top) ) | ~spl1_164), 72.27/71.71 inference(avatar_component_clause,[],[f2229])). 72.27/71.71 fof(f100344,plain,( 72.27/71.71 ( ! [X0,X1] : (join(X0,complement(X1)) = join(complement(join(X0,X1)),X0)) ) | ~spl1_978), 72.27/71.71 inference(avatar_component_clause,[],[f100343])). 72.27/71.71 fof(f111664,plain,( 72.27/71.71 ( ! [X0] : (complement(X0) = join(converse(complement(converse(X0))),complement(X0))) ) | (~spl1_222 | ~spl1_1018)), 72.27/71.71 inference(superposition,[],[f111239,f3200])). 72.27/71.71 fof(f111239,plain,( 72.27/71.71 ( ! [X193] : (join(converse(complement(converse(complement(X193)))),X193) = X193) ) | ~spl1_1018), 72.27/71.71 inference(avatar_component_clause,[],[f111238])). 72.27/71.71 fof(f111240,plain,( 72.27/71.71 spl1_1018 | ~spl1_4 | ~spl1_82 | ~spl1_1014), 72.27/71.71 inference(avatar_split_clause,[],[f111189,f110858,f1014,f58,f111238])). 72.27/71.71 fof(f1014,plain,( 72.27/71.71 spl1_82 <=> ! [X1,X2] : converse(join(converse(X2),X1)) = join(converse(X1),X2)), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_82])])). 72.27/71.71 fof(f110858,plain,( 72.27/71.71 spl1_1014 <=> ! [X12] : join(X12,complement(converse(complement(converse(X12))))) = X12), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_1014])])). 72.27/71.71 fof(f111189,plain,( 72.27/71.71 ( ! [X193] : (join(converse(complement(converse(complement(X193)))),X193) = X193) ) | (~spl1_4 | ~spl1_82 | ~spl1_1014)), 72.27/71.71 inference(forward_demodulation,[],[f111031,f59])). 72.27/71.71 fof(f111031,plain,( 72.27/71.71 ( ! [X193] : (converse(converse(X193)) = join(converse(complement(converse(complement(converse(converse(X193)))))),X193)) ) | (~spl1_82 | ~spl1_1014)), 72.27/71.71 inference(superposition,[],[f1015,f110859])). 72.27/71.71 fof(f110859,plain,( 72.27/71.71 ( ! [X12] : (join(X12,complement(converse(complement(converse(X12))))) = X12) ) | ~spl1_1014), 72.27/71.71 inference(avatar_component_clause,[],[f110858])). 72.27/71.71 fof(f1015,plain,( 72.27/71.71 ( ! [X2,X1] : (converse(join(converse(X2),X1)) = join(converse(X1),X2)) ) | ~spl1_82), 72.27/71.71 inference(avatar_component_clause,[],[f1014])). 72.27/71.71 fof(f110860,plain,( 72.27/71.71 spl1_1014 | ~spl1_0 | ~spl1_158 | ~spl1_218 | ~spl1_978), 72.27/71.71 inference(avatar_split_clause,[],[f110079,f100343,f3109,f2128,f50,f110858])). 72.27/71.71 fof(f2128,plain,( 72.27/71.71 spl1_158 <=> ! [X3] : join(X3,converse(complement(converse(X3)))) = top), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_158])])). 72.27/71.71 fof(f110079,plain,( 72.27/71.71 ( ! [X12] : (join(X12,complement(converse(complement(converse(X12))))) = X12) ) | (~spl1_0 | ~spl1_158 | ~spl1_218 | ~spl1_978)), 72.27/71.71 inference(forward_demodulation,[],[f110078,f3110])). 72.27/71.71 fof(f110078,plain,( 72.27/71.71 ( ! [X12] : (join(zero,X12) = join(X12,complement(converse(complement(converse(X12)))))) ) | (~spl1_0 | ~spl1_158 | ~spl1_978)), 72.27/71.71 inference(forward_demodulation,[],[f109488,f51])). 72.27/71.71 fof(f109488,plain,( 72.27/71.71 ( ! [X12] : (join(complement(top),X12) = join(X12,complement(converse(complement(converse(X12)))))) ) | (~spl1_158 | ~spl1_978)), 72.27/71.71 inference(superposition,[],[f100344,f2129])). 72.27/71.71 fof(f2129,plain,( 72.27/71.71 ( ! [X3] : (join(X3,converse(complement(converse(X3)))) = top) ) | ~spl1_158), 72.27/71.71 inference(avatar_component_clause,[],[f2128])). 72.27/71.71 fof(f100345,plain,( 72.27/71.71 spl1_978 | ~spl1_222 | ~spl1_712), 72.27/71.71 inference(avatar_split_clause,[],[f72358,f42826,f3199,f100343])). 72.27/71.71 fof(f42826,plain,( 72.27/71.71 spl1_712 <=> ! [X3,X2] : join(complement(X2),complement(X3)) = join(complement(join(complement(X2),X3)),complement(X2))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_712])])). 72.27/71.71 fof(f72358,plain,( 72.27/71.71 ( ! [X0,X1] : (join(X0,complement(X1)) = join(complement(join(X0,X1)),X0)) ) | (~spl1_222 | ~spl1_712)), 72.27/71.71 inference(superposition,[],[f42827,f3200])). 72.27/71.71 fof(f42827,plain,( 72.27/71.71 ( ! [X2,X3] : (join(complement(X2),complement(X3)) = join(complement(join(complement(X2),X3)),complement(X2))) ) | ~spl1_712), 72.27/71.71 inference(avatar_component_clause,[],[f42826])). 72.27/71.71 fof(f100321,plain,( 72.27/71.71 spl1_966 | ~spl1_222 | ~spl1_400), 72.27/71.71 inference(avatar_split_clause,[],[f23349,f15399,f3199,f100319])). 72.27/71.71 fof(f15399,plain,( 72.27/71.71 spl1_400 <=> ! [X0] : complement(one) = join(composition(converse(X0),complement(X0)),complement(one))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_400])])). 72.27/71.71 fof(f23349,plain,( 72.27/71.71 ( ! [X0] : (complement(one) = join(composition(converse(complement(X0)),X0),complement(one))) ) | (~spl1_222 | ~spl1_400)), 72.27/71.71 inference(superposition,[],[f15400,f3200])). 72.27/71.71 fof(f15400,plain,( 72.27/71.71 ( ! [X0] : (complement(one) = join(composition(converse(X0),complement(X0)),complement(one))) ) | ~spl1_400), 72.27/71.71 inference(avatar_component_clause,[],[f15399])). 72.27/71.71 fof(f71084,plain,( 72.27/71.71 spl1_786 | ~spl1_26 | ~spl1_446 | ~spl1_462), 72.27/71.71 inference(avatar_split_clause,[],[f25198,f25054,f24875,f117,f71082])). 72.27/71.71 fof(f117,plain,( 72.27/71.71 spl1_26 <=> ! [X1,X0,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_26])])). 72.27/71.71 fof(f24875,plain,( 72.27/71.71 spl1_446 <=> ! [X7] : composition(zero,X7) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_446])])). 72.27/71.71 fof(f25054,plain,( 72.27/71.71 spl1_462 <=> ! [X5] : composition(converse(complement(composition(X5,top))),X5) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_462])])). 72.27/71.71 fof(f25198,plain,( 72.27/71.71 ( ! [X6,X7] : (composition(converse(complement(composition(X6,top))),composition(X6,X7)) = zero) ) | (~spl1_26 | ~spl1_446 | ~spl1_462)), 72.27/71.71 inference(forward_demodulation,[],[f25153,f24876])). 72.27/71.71 fof(f24876,plain,( 72.27/71.71 ( ! [X7] : (composition(zero,X7) = zero) ) | ~spl1_446), 72.27/71.71 inference(avatar_component_clause,[],[f24875])). 72.27/71.71 fof(f25153,plain,( 72.27/71.71 ( ! [X6,X7] : (composition(zero,X7) = composition(converse(complement(composition(X6,top))),composition(X6,X7))) ) | (~spl1_26 | ~spl1_462)), 72.27/71.71 inference(superposition,[],[f118,f25055])). 72.27/71.71 fof(f25055,plain,( 72.27/71.71 ( ! [X5] : (composition(converse(complement(composition(X5,top))),X5) = zero) ) | ~spl1_462), 72.27/71.71 inference(avatar_component_clause,[],[f25054])). 72.27/71.71 fof(f118,plain,( 72.27/71.71 ( ! [X2,X0,X1] : (composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)) ) | ~spl1_26), 72.27/71.71 inference(avatar_component_clause,[],[f117])). 72.27/71.71 fof(f62445,plain,( 72.27/71.71 spl1_756 | ~spl1_34 | ~spl1_510), 72.27/71.71 inference(avatar_split_clause,[],[f33346,f27767,f188,f62443])). 72.27/71.71 fof(f188,plain,( 72.27/71.71 spl1_34 <=> ! [X2] : composition(one,X2) = X2), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_34])])). 72.27/71.71 fof(f27767,plain,( 72.27/71.71 spl1_510 <=> ! [X3,X5,X4] : composition(join(X3,X5),X4) = join(composition(X5,X4),composition(X3,X4))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_510])])). 72.27/71.71 fof(f33346,plain,( 72.27/71.71 ( ! [X24,X25] : (composition(join(X25,one),X24) = join(X24,composition(X25,X24))) ) | (~spl1_34 | ~spl1_510)), 72.27/71.71 inference(superposition,[],[f27768,f189])). 72.27/71.71 fof(f189,plain,( 72.27/71.71 ( ! [X2] : (composition(one,X2) = X2) ) | ~spl1_34), 72.27/71.71 inference(avatar_component_clause,[],[f188])). 72.27/71.71 fof(f27768,plain,( 72.27/71.71 ( ! [X4,X5,X3] : (composition(join(X3,X5),X4) = join(composition(X5,X4),composition(X3,X4))) ) | ~spl1_510), 72.27/71.71 inference(avatar_component_clause,[],[f27767])). 72.27/71.71 fof(f42828,plain,( 72.27/71.71 spl1_712 | ~spl1_10 | ~spl1_48 | ~spl1_176 | ~spl1_208 | ~spl1_216 | ~spl1_280), 72.27/71.71 inference(avatar_split_clause,[],[f5663,f5567,f3067,f2927,f2579,f299,f74,f42826])). 72.27/71.71 fof(f299,plain,( 72.27/71.71 spl1_48 <=> ! [X1,X0,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2)), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_48])])). 72.27/71.71 fof(f2579,plain,( 72.27/71.71 spl1_176 <=> ! [X1,X0] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_176])])). 72.27/71.71 fof(f2927,plain,( 72.27/71.71 spl1_208 <=> ! [X4] : join(zero,complement(complement(X4))) = X4), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_208])])). 72.27/71.71 fof(f3067,plain,( 72.27/71.71 spl1_216 <=> ! [X0] : complement(X0) = join(zero,complement(X0))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_216])])). 72.27/71.71 fof(f5567,plain,( 72.27/71.71 spl1_280 <=> ! [X16,X17] : join(complement(join(X17,complement(X16))),X16) = X16), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_280])])). 72.27/71.71 fof(f5663,plain,( 72.27/71.71 ( ! [X2,X3] : (join(complement(X2),complement(X3)) = join(complement(join(complement(X2),X3)),complement(X2))) ) | (~spl1_10 | ~spl1_48 | ~spl1_176 | ~spl1_208 | ~spl1_216 | ~spl1_280)), 72.27/71.71 inference(backward_demodulation,[],[f5601,f3104])). 72.27/71.71 fof(f3104,plain,( 72.27/71.71 ( ! [X2,X3] : (join(complement(X2),complement(X3)) = join(complement(join(complement(X2),join(X3,complement(join(complement(X2),complement(X3)))))),complement(X2))) ) | (~spl1_10 | ~spl1_48 | ~spl1_176 | ~spl1_208 | ~spl1_216)), 72.27/71.71 inference(forward_demodulation,[],[f3097,f300])). 72.27/71.71 fof(f300,plain,( 72.27/71.71 ( ! [X2,X0,X1] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2)) ) | ~spl1_48), 72.27/71.71 inference(avatar_component_clause,[],[f299])). 72.27/71.71 fof(f3097,plain,( 72.27/71.71 ( ! [X2,X3] : (join(complement(X2),complement(X3)) = join(complement(join(join(complement(X2),X3),complement(join(complement(X2),complement(X3))))),complement(X2))) ) | (~spl1_10 | ~spl1_176 | ~spl1_208 | ~spl1_216)), 72.27/71.71 inference(backward_demodulation,[],[f3072,f2913])). 72.27/71.71 fof(f2913,plain,( 72.27/71.71 ( ! [X2,X3] : (join(complement(X2),complement(X3)) = join(complement(join(complement(complement(join(complement(X2),X3))),complement(join(complement(X2),complement(X3))))),complement(X2))) ) | (~spl1_10 | ~spl1_176)), 72.27/71.71 inference(forward_demodulation,[],[f2868,f75])). 72.27/71.71 fof(f2868,plain,( 72.27/71.71 ( ! [X2,X3] : (join(complement(X2),complement(X3)) = join(complement(join(complement(join(complement(X2),complement(X3))),complement(complement(join(complement(X2),X3))))),complement(X2))) ) | ~spl1_176), 72.27/71.71 inference(superposition,[],[f2580,f2580])). 72.27/71.71 fof(f2580,plain,( 72.27/71.71 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0) ) | ~spl1_176), 72.27/71.71 inference(avatar_component_clause,[],[f2579])). 72.27/71.71 fof(f3072,plain,( 72.27/71.71 ( ! [X0] : (complement(complement(X0)) = X0) ) | (~spl1_208 | ~spl1_216)), 72.27/71.71 inference(superposition,[],[f3068,f2928])). 72.27/71.71 fof(f2928,plain,( 72.27/71.71 ( ! [X4] : (join(zero,complement(complement(X4))) = X4) ) | ~spl1_208), 72.27/71.71 inference(avatar_component_clause,[],[f2927])). 72.27/71.71 fof(f3068,plain,( 72.27/71.71 ( ! [X0] : (complement(X0) = join(zero,complement(X0))) ) | ~spl1_216), 72.27/71.71 inference(avatar_component_clause,[],[f3067])). 72.27/71.71 fof(f5601,plain,( 72.27/71.71 ( ! [X4,X3] : (join(X4,complement(join(X3,complement(X4)))) = X4) ) | (~spl1_10 | ~spl1_280)), 72.27/71.71 inference(superposition,[],[f5568,f75])). 72.27/71.71 fof(f5568,plain,( 72.27/71.71 ( ! [X17,X16] : (join(complement(join(X17,complement(X16))),X16) = X16) ) | ~spl1_280), 72.27/71.71 inference(avatar_component_clause,[],[f5567])). 72.27/71.71 fof(f27769,plain,( 72.27/71.71 spl1_510 | ~spl1_10 | ~spl1_108), 72.27/71.71 inference(avatar_split_clause,[],[f2086,f1454,f74,f27767])). 72.27/71.71 fof(f1454,plain,( 72.27/71.71 spl1_108 <=> ! [X1,X0,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_108])])). 72.27/71.71 fof(f2086,plain,( 72.27/71.71 ( ! [X4,X5,X3] : (composition(join(X3,X5),X4) = join(composition(X5,X4),composition(X3,X4))) ) | (~spl1_10 | ~spl1_108)), 72.27/71.71 inference(superposition,[],[f1455,f75])). 72.27/71.71 fof(f1455,plain,( 72.27/71.71 ( ! [X2,X0,X1] : (composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))) ) | ~spl1_108), 72.27/71.71 inference(avatar_component_clause,[],[f1454])). 72.27/71.71 fof(f25056,plain,( 72.27/71.71 spl1_462 | ~spl1_20 | ~spl1_230 | ~spl1_438), 72.27/71.71 inference(avatar_split_clause,[],[f24054,f23973,f3395,f105,f25054])). 72.27/71.71 fof(f3395,plain,( 72.27/71.71 spl1_230 <=> converse(zero) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_230])])). 72.27/71.71 fof(f23973,plain,( 72.27/71.71 spl1_438 <=> ! [X1] : composition(converse(X1),complement(composition(X1,top))) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_438])])). 72.27/71.71 fof(f24054,plain,( 72.27/71.71 ( ! [X5] : (composition(converse(complement(composition(X5,top))),X5) = zero) ) | (~spl1_20 | ~spl1_230 | ~spl1_438)), 72.27/71.71 inference(forward_demodulation,[],[f24003,f3396])). 72.27/71.71 fof(f3396,plain,( 72.27/71.71 converse(zero) = zero | ~spl1_230), 72.27/71.71 inference(avatar_component_clause,[],[f3395])). 72.27/71.71 fof(f24003,plain,( 72.27/71.71 ( ! [X5] : (converse(zero) = composition(converse(complement(composition(X5,top))),X5)) ) | (~spl1_20 | ~spl1_438)), 72.27/71.71 inference(superposition,[],[f106,f23974])). 72.27/71.71 fof(f23974,plain,( 72.27/71.71 ( ! [X1] : (composition(converse(X1),complement(composition(X1,top))) = zero) ) | ~spl1_438), 72.27/71.71 inference(avatar_component_clause,[],[f23973])). 72.27/71.71 fof(f24877,plain,( 72.27/71.71 spl1_446 | ~spl1_20 | ~spl1_26 | ~spl1_230 | ~spl1_240 | ~spl1_444), 72.27/71.71 inference(avatar_split_clause,[],[f24337,f24159,f3566,f3395,f117,f105,f24875])). 72.27/71.71 fof(f3566,plain,( 72.27/71.71 spl1_240 <=> ! [X1] : converse(composition(X1,zero)) = composition(zero,converse(X1))), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_240])])). 72.27/71.71 fof(f24159,plain,( 72.27/71.71 spl1_444 <=> ! [X1] : composition(X1,complement(composition(top,top))) = zero), 72.27/71.71 introduced(avatar_definition,[new_symbols(naming,[spl1_444])])). 72.27/71.71 fof(f24337,plain,( 72.27/71.71 ( ! [X7] : (composition(zero,X7) = zero) ) | (~spl1_20 | ~spl1_26 | ~spl1_230 | ~spl1_240 | ~spl1_444)), 72.27/71.71 inference(forward_demodulation,[],[f24336,f3396])). 72.27/71.71 fof(f24336,plain,( 72.27/71.71 ( ! [X7] : (converse(zero) = composition(zero,X7)) ) | (~spl1_20 | ~spl1_26 | ~spl1_230 | ~spl1_240 | ~spl1_444)), 72.27/71.71 inference(forward_demodulation,[],[f24335,f24179])). 72.27/71.71 fof(f24179,plain,( 72.27/71.71 ( ! [X1] : (composition(X1,zero) = zero) ) | (~spl1_26 | ~spl1_444)), 72.27/71.71 inference(forward_demodulation,[],[f24162,f24160])). 72.27/71.71 fof(f24160,plain,( 72.27/71.71 ( ! [X1] : (composition(X1,complement(composition(top,top))) = zero) ) | ~spl1_444), 72.27/71.71 inference(avatar_component_clause,[],[f24159])). 72.27/71.72 fof(f24162,plain,( 72.27/71.72 ( ! [X2,X1] : (composition(X1,composition(X2,complement(composition(top,top)))) = zero) ) | (~spl1_26 | ~spl1_444)), 72.27/71.72 inference(superposition,[],[f24160,f118])). 72.27/71.72 fof(f24335,plain,( 72.27/71.72 ( ! [X7] : (converse(composition(converse(X7),zero)) = composition(zero,X7)) ) | (~spl1_20 | ~spl1_26 | ~spl1_230 | ~spl1_240 | ~spl1_444)), 72.27/71.72 inference(forward_demodulation,[],[f24185,f24334])). 72.27/71.72 fof(f24334,plain,( 72.27/71.72 ( ! [X6,X7] : (composition(zero,X7) = composition(zero,composition(converse(X6),X7))) ) | (~spl1_26 | ~spl1_230 | ~spl1_240 | ~spl1_444)), 72.27/71.72 inference(forward_demodulation,[],[f24184,f3396])). 72.27/71.72 fof(f24184,plain,( 72.27/71.72 ( ! [X6,X7] : (composition(converse(zero),X7) = composition(zero,composition(converse(X6),X7))) ) | (~spl1_26 | ~spl1_240 | ~spl1_444)), 72.27/71.72 inference(backward_demodulation,[],[f24179,f3673])). 72.27/71.72 fof(f3673,plain,( 72.27/71.72 ( ! [X6,X7] : (composition(converse(composition(X6,zero)),X7) = composition(zero,composition(converse(X6),X7))) ) | (~spl1_26 | ~spl1_240)), 72.27/71.72 inference(superposition,[],[f118,f3567])). 72.27/71.72 fof(f3567,plain,( 72.27/71.72 ( ! [X1] : (converse(composition(X1,zero)) = composition(zero,converse(X1))) ) | ~spl1_240), 72.27/71.72 inference(avatar_component_clause,[],[f3566])). 72.27/71.72 fof(f24185,plain,( 72.27/71.72 ( ! [X8,X7] : (converse(composition(converse(X7),zero)) = composition(zero,composition(converse(X8),X7))) ) | (~spl1_20 | ~spl1_26 | ~spl1_240 | ~spl1_444)), 72.27/71.72 inference(backward_demodulation,[],[f24179,f3680])). 72.27/71.72 fof(f3680,plain,( 72.27/71.72 ( ! [X8,X7] : (converse(composition(converse(X7),composition(X8,zero))) = composition(zero,composition(converse(X8),X7))) ) | (~spl1_20 | ~spl1_26 | ~spl1_240)), 72.27/71.72 inference(forward_demodulation,[],[f3653,f118])). 72.27/71.72 fof(f3653,plain,( 72.27/71.72 ( ! [X8,X7] : (converse(composition(composition(converse(X7),X8),zero)) = composition(zero,composition(converse(X8),X7))) ) | (~spl1_20 | ~spl1_240)), 72.27/71.72 inference(superposition,[],[f3567,f106])). 72.27/71.72 fof(f24161,plain,( 72.27/71.72 spl1_444 | ~spl1_108 | ~spl1_138 | ~spl1_218 | ~spl1_442), 72.27/71.72 inference(avatar_split_clause,[],[f24140,f24124,f3109,f1935,f1454,f24159])). 72.27/71.72 fof(f1935,plain,( 72.27/71.72 spl1_138 <=> ! [X4] : join(top,X4) = top), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_138])])). 72.27/71.72 fof(f24124,plain,( 72.27/71.72 spl1_442 <=> composition(top,complement(composition(top,top))) = zero), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_442])])). 72.27/71.72 fof(f24140,plain,( 72.27/71.72 ( ! [X1] : (composition(X1,complement(composition(top,top))) = zero) ) | (~spl1_108 | ~spl1_138 | ~spl1_218 | ~spl1_442)), 72.27/71.72 inference(forward_demodulation,[],[f24139,f24125])). 72.27/71.72 fof(f24125,plain,( 72.27/71.72 composition(top,complement(composition(top,top))) = zero | ~spl1_442), 72.27/71.72 inference(avatar_component_clause,[],[f24124])). 72.27/71.72 fof(f24139,plain,( 72.27/71.72 ( ! [X1] : (composition(top,complement(composition(top,top))) = composition(X1,complement(composition(top,top)))) ) | (~spl1_108 | ~spl1_138 | ~spl1_218 | ~spl1_442)), 72.27/71.72 inference(forward_demodulation,[],[f24138,f1936])). 72.27/71.72 fof(f1936,plain,( 72.27/71.72 ( ! [X4] : (join(top,X4) = top) ) | ~spl1_138), 72.27/71.72 inference(avatar_component_clause,[],[f1935])). 72.27/71.72 fof(f24138,plain,( 72.27/71.72 ( ! [X1] : (composition(X1,complement(composition(top,top))) = composition(join(top,X1),complement(composition(top,top)))) ) | (~spl1_108 | ~spl1_218 | ~spl1_442)), 72.27/71.72 inference(forward_demodulation,[],[f24129,f3110])). 72.27/71.72 fof(f24129,plain,( 72.27/71.72 ( ! [X1] : (composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top))))) ) | (~spl1_108 | ~spl1_442)), 72.27/71.72 inference(superposition,[],[f1455,f24125])). 72.27/71.72 fof(f24126,plain,( 72.27/71.72 spl1_442 | ~spl1_132 | ~spl1_438), 72.27/71.72 inference(avatar_split_clause,[],[f23994,f23973,f1875,f24124])). 72.27/71.72 fof(f1875,plain,( 72.27/71.72 spl1_132 <=> converse(top) = top), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_132])])). 72.27/71.72 fof(f23994,plain,( 72.27/71.72 composition(top,complement(composition(top,top))) = zero | (~spl1_132 | ~spl1_438)), 72.27/71.72 inference(superposition,[],[f23974,f1876])). 72.27/71.72 fof(f1876,plain,( 72.27/71.72 converse(top) = top | ~spl1_132), 72.27/71.72 inference(avatar_component_clause,[],[f1875])). 72.27/71.72 fof(f23975,plain,( 72.27/71.72 spl1_438 | ~spl1_220 | ~spl1_422), 72.27/71.72 inference(avatar_split_clause,[],[f23840,f19194,f3113,f23973])). 72.27/71.72 fof(f3113,plain,( 72.27/71.72 spl1_220 <=> ! [X13] : join(X13,zero) = X13), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_220])])). 72.27/71.72 fof(f19194,plain,( 72.27/71.72 spl1_422 <=> ! [X0] : join(composition(converse(X0),complement(composition(X0,top))),zero) = zero), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_422])])). 72.27/71.72 fof(f23840,plain,( 72.27/71.72 ( ! [X1] : (composition(converse(X1),complement(composition(X1,top))) = zero) ) | (~spl1_220 | ~spl1_422)), 72.27/71.72 inference(superposition,[],[f19195,f3114])). 72.27/71.72 fof(f3114,plain,( 72.27/71.72 ( ! [X13] : (join(X13,zero) = X13) ) | ~spl1_220), 72.27/71.72 inference(avatar_component_clause,[],[f3113])). 72.27/71.72 fof(f19195,plain,( 72.27/71.72 ( ! [X0] : (join(composition(converse(X0),complement(composition(X0,top))),zero) = zero) ) | ~spl1_422), 72.27/71.72 inference(avatar_component_clause,[],[f19194])). 72.27/71.72 fof(f19196,plain,( 72.27/71.72 spl1_422 | ~spl1_0 | ~spl1_86), 72.27/71.72 inference(avatar_split_clause,[],[f1721,f1280,f50,f19194])). 72.27/71.72 fof(f1721,plain,( 72.27/71.72 ( ! [X0] : (join(composition(converse(X0),complement(composition(X0,top))),zero) = zero) ) | (~spl1_0 | ~spl1_86)), 72.27/71.72 inference(superposition,[],[f1281,f51])). 72.27/71.72 fof(f16830,plain,( 72.27/71.72 spl1_406 | ~spl1_222 | ~spl1_274), 72.27/71.72 inference(avatar_split_clause,[],[f5176,f5163,f3199,f16828])). 72.27/71.72 fof(f5163,plain,( 72.27/71.72 spl1_274 <=> ! [X20,X19] : join(complement(join(complement(X19),X20)),X19) = X19), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_274])])). 72.27/71.72 fof(f5176,plain,( 72.27/71.72 ( ! [X2,X3] : (complement(X2) = join(complement(join(X2,X3)),complement(X2))) ) | (~spl1_222 | ~spl1_274)), 72.27/71.72 inference(superposition,[],[f5164,f3200])). 72.27/71.72 fof(f5164,plain,( 72.27/71.72 ( ! [X19,X20] : (join(complement(join(complement(X19),X20)),X19) = X19) ) | ~spl1_274), 72.27/71.72 inference(avatar_component_clause,[],[f5163])). 72.27/71.72 fof(f15401,plain,( 72.27/71.72 spl1_400 | ~spl1_2 | ~spl1_86), 72.27/71.72 inference(avatar_split_clause,[],[f1717,f1280,f54,f15399])). 72.27/71.72 fof(f54,plain,( 72.27/71.72 spl1_2 <=> ! [X0] : composition(X0,one) = X0), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 72.27/71.72 fof(f1717,plain,( 72.27/71.72 ( ! [X0] : (complement(one) = join(composition(converse(X0),complement(X0)),complement(one))) ) | (~spl1_2 | ~spl1_86)), 72.27/71.72 inference(superposition,[],[f1281,f55])). 72.27/71.72 fof(f55,plain,( 72.27/71.72 ( ! [X0] : (composition(X0,one) = X0) ) | ~spl1_2), 72.27/71.72 inference(avatar_component_clause,[],[f54])). 72.27/71.72 fof(f5569,plain,( 72.27/71.72 spl1_280 | ~spl1_10 | ~spl1_274), 72.27/71.72 inference(avatar_split_clause,[],[f5188,f5163,f74,f5567])). 72.27/71.72 fof(f5188,plain,( 72.27/71.72 ( ! [X17,X16] : (join(complement(join(X17,complement(X16))),X16) = X16) ) | (~spl1_10 | ~spl1_274)), 72.27/71.72 inference(superposition,[],[f5164,f75])). 72.27/71.72 fof(f5165,plain,( 72.27/71.72 spl1_274 | ~spl1_176 | ~spl1_270), 72.27/71.72 inference(avatar_split_clause,[],[f4958,f4938,f2579,f5163])). 72.27/71.72 fof(f4938,plain,( 72.27/71.72 spl1_270 <=> ! [X1,X2] : join(X2,X1) = join(X1,join(X2,X1))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_270])])). 72.27/71.72 fof(f4958,plain,( 72.27/71.72 ( ! [X19,X20] : (join(complement(join(complement(X19),X20)),X19) = X19) ) | (~spl1_176 | ~spl1_270)), 72.27/71.72 inference(superposition,[],[f4939,f2580])). 72.27/71.72 fof(f4939,plain,( 72.27/71.72 ( ! [X2,X1] : (join(X2,X1) = join(X1,join(X2,X1))) ) | ~spl1_270), 72.27/71.72 inference(avatar_component_clause,[],[f4938])). 72.27/71.72 fof(f4940,plain,( 72.27/71.72 spl1_270 | ~spl1_10 | ~spl1_266), 72.27/71.72 inference(avatar_split_clause,[],[f4784,f4776,f74,f4938])). 72.27/71.72 fof(f4776,plain,( 72.27/71.72 spl1_266 <=> ! [X3,X2] : join(X2,X3) = join(X2,join(X2,X3))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_266])])). 72.27/71.72 fof(f4784,plain,( 72.27/71.72 ( ! [X2,X1] : (join(X2,X1) = join(X1,join(X2,X1))) ) | (~spl1_10 | ~spl1_266)), 72.27/71.72 inference(superposition,[],[f4777,f75])). 72.27/71.72 fof(f4777,plain,( 72.27/71.72 ( ! [X2,X3] : (join(X2,X3) = join(X2,join(X2,X3))) ) | ~spl1_266), 72.27/71.72 inference(avatar_component_clause,[],[f4776])). 72.27/71.72 fof(f4778,plain,( 72.27/71.72 spl1_266 | ~spl1_48 | ~spl1_224), 72.27/71.72 inference(avatar_split_clause,[],[f3261,f3254,f299,f4776])). 72.27/71.72 fof(f3254,plain,( 72.27/71.72 spl1_224 <=> ! [X4] : join(X4,X4) = X4), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_224])])). 72.27/71.72 fof(f3261,plain,( 72.27/71.72 ( ! [X2,X3] : (join(X2,X3) = join(X2,join(X2,X3))) ) | (~spl1_48 | ~spl1_224)), 72.27/71.72 inference(superposition,[],[f300,f3255])). 72.27/71.72 fof(f3255,plain,( 72.27/71.72 ( ! [X4] : (join(X4,X4) = X4) ) | ~spl1_224), 72.27/71.72 inference(avatar_component_clause,[],[f3254])). 72.27/71.72 fof(f3568,plain,( 72.27/71.72 spl1_240 | ~spl1_14 | ~spl1_230), 72.27/71.72 inference(avatar_split_clause,[],[f3400,f3395,f85,f3566])). 72.27/71.72 fof(f3400,plain,( 72.27/71.72 ( ! [X1] : (converse(composition(X1,zero)) = composition(zero,converse(X1))) ) | (~spl1_14 | ~spl1_230)), 72.27/71.72 inference(superposition,[],[f86,f3396])). 72.27/71.72 fof(f3397,plain,( 72.27/71.72 spl1_230 | ~spl1_220 | ~spl1_226), 72.27/71.72 inference(avatar_split_clause,[],[f3313,f3299,f3113,f3395])). 72.27/71.72 fof(f3299,plain,( 72.27/71.72 spl1_226 <=> ! [X15] : join(converse(zero),X15) = X15), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_226])])). 72.27/71.72 fof(f3313,plain,( 72.27/71.72 converse(zero) = zero | (~spl1_220 | ~spl1_226)), 72.27/71.72 inference(superposition,[],[f3300,f3114])). 72.27/71.72 fof(f3300,plain,( 72.27/71.72 ( ! [X15] : (join(converse(zero),X15) = X15) ) | ~spl1_226), 72.27/71.72 inference(avatar_component_clause,[],[f3299])). 72.27/71.72 fof(f3301,plain,( 72.27/71.72 spl1_226 | ~spl1_4 | ~spl1_24 | ~spl1_218), 72.27/71.72 inference(avatar_split_clause,[],[f3148,f3109,f113,f58,f3299])). 72.27/71.72 fof(f113,plain,( 72.27/71.72 spl1_24 <=> ! [X1,X0] : converse(join(X1,converse(X0))) = join(converse(X1),X0)), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_24])])). 72.27/71.72 fof(f3148,plain,( 72.27/71.72 ( ! [X15] : (join(converse(zero),X15) = X15) ) | (~spl1_4 | ~spl1_24 | ~spl1_218)), 72.27/71.72 inference(forward_demodulation,[],[f3136,f59])). 72.27/71.72 fof(f3136,plain,( 72.27/71.72 ( ! [X15] : (converse(converse(X15)) = join(converse(zero),X15)) ) | (~spl1_24 | ~spl1_218)), 72.27/71.72 inference(superposition,[],[f114,f3110])). 72.27/71.72 fof(f114,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(join(X1,converse(X0))) = join(converse(X1),X0)) ) | ~spl1_24), 72.27/71.72 inference(avatar_component_clause,[],[f113])). 72.27/71.72 fof(f3256,plain,( 72.27/71.72 spl1_224 | ~spl1_130 | ~spl1_222), 72.27/71.72 inference(avatar_split_clause,[],[f3207,f3199,f1741,f3254])). 72.27/71.72 fof(f1741,plain,( 72.27/71.72 spl1_130 <=> ! [X38] : complement(X38) = join(complement(X38),complement(X38))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_130])])). 72.27/71.72 fof(f3207,plain,( 72.27/71.72 ( ! [X4] : (join(X4,X4) = X4) ) | (~spl1_130 | ~spl1_222)), 72.27/71.72 inference(superposition,[],[f1742,f3200])). 72.27/71.72 fof(f1742,plain,( 72.27/71.72 ( ! [X38] : (complement(X38) = join(complement(X38),complement(X38))) ) | ~spl1_130), 72.27/71.72 inference(avatar_component_clause,[],[f1741])). 72.27/71.72 fof(f3201,plain,( 72.27/71.72 spl1_222 | ~spl1_208 | ~spl1_216), 72.27/71.72 inference(avatar_split_clause,[],[f3072,f3067,f2927,f3199])). 72.27/71.72 fof(f3115,plain,( 72.27/71.72 spl1_220 | ~spl1_0 | ~spl1_6 | ~spl1_130 | ~spl1_176 | ~spl1_208 | ~spl1_216), 72.27/71.72 inference(avatar_split_clause,[],[f3101,f3067,f2927,f2579,f1741,f62,f50,f3113])). 72.27/71.72 fof(f62,plain,( 72.27/71.72 spl1_6 <=> ! [X0] : join(X0,complement(X0)) = top), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 72.27/71.72 fof(f3101,plain,( 72.27/71.72 ( ! [X13] : (join(X13,zero) = X13) ) | (~spl1_0 | ~spl1_6 | ~spl1_130 | ~spl1_176 | ~spl1_208 | ~spl1_216)), 72.27/71.72 inference(forward_demodulation,[],[f3100,f3072])). 72.27/71.72 fof(f3100,plain,( 72.27/71.72 ( ! [X13] : (join(complement(complement(X13)),zero) = X13) ) | (~spl1_0 | ~spl1_6 | ~spl1_130 | ~spl1_176 | ~spl1_208 | ~spl1_216)), 72.27/71.72 inference(forward_demodulation,[],[f3085,f1742])). 72.27/71.72 fof(f3085,plain,( 72.27/71.72 ( ! [X13] : (join(complement(join(complement(X13),complement(X13))),zero) = X13) ) | (~spl1_0 | ~spl1_6 | ~spl1_176 | ~spl1_208 | ~spl1_216)), 72.27/71.72 inference(backward_demodulation,[],[f3072,f2919])). 72.27/71.72 fof(f2919,plain,( 72.27/71.72 ( ! [X13] : (join(complement(join(complement(X13),complement(complement(complement(X13))))),zero) = X13) ) | (~spl1_0 | ~spl1_6 | ~spl1_176)), 72.27/71.72 inference(forward_demodulation,[],[f2875,f51])). 72.27/71.72 fof(f2875,plain,( 72.27/71.72 ( ! [X13] : (join(complement(join(complement(X13),complement(complement(complement(X13))))),complement(top)) = X13) ) | (~spl1_6 | ~spl1_176)), 72.27/71.72 inference(superposition,[],[f2580,f63])). 72.27/71.72 fof(f63,plain,( 72.27/71.72 ( ! [X0] : (join(X0,complement(X0)) = top) ) | ~spl1_6), 72.27/71.72 inference(avatar_component_clause,[],[f62])). 72.27/71.72 fof(f3111,plain,( 72.27/71.72 spl1_218 | ~spl1_208 | ~spl1_216), 72.27/71.72 inference(avatar_split_clause,[],[f3088,f3067,f2927,f3109])). 72.27/71.72 fof(f3088,plain,( 72.27/71.72 ( ! [X4] : (join(zero,X4) = X4) ) | (~spl1_208 | ~spl1_216)), 72.27/71.72 inference(backward_demodulation,[],[f3072,f2928])). 72.27/71.72 fof(f3069,plain,( 72.27/71.72 spl1_216 | ~spl1_0 | ~spl1_10 | ~spl1_138 | ~spl1_176 | ~spl1_212 | ~spl1_214), 72.27/71.72 inference(avatar_split_clause,[],[f3059,f3035,f2999,f2579,f1935,f74,f50,f3067])). 72.27/71.72 fof(f3035,plain,( 72.27/71.72 spl1_214 <=> ! [X0] : join(complement(complement(X0)),zero) = X0), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_214])])). 72.27/71.72 fof(f3059,plain,( 72.27/71.72 ( ! [X0] : (complement(X0) = join(zero,complement(X0))) ) | (~spl1_0 | ~spl1_10 | ~spl1_138 | ~spl1_176 | ~spl1_212 | ~spl1_214)), 72.27/71.72 inference(forward_demodulation,[],[f3058,f51])). 72.27/71.72 fof(f3058,plain,( 72.27/71.72 ( ! [X0] : (complement(X0) = join(complement(top),complement(X0))) ) | (~spl1_10 | ~spl1_138 | ~spl1_176 | ~spl1_212 | ~spl1_214)), 72.27/71.72 inference(forward_demodulation,[],[f3057,f1936])). 72.27/71.72 fof(f3057,plain,( 72.27/71.72 ( ! [X0] : (complement(X0) = join(complement(join(top,complement(complement(X0)))),complement(X0))) ) | (~spl1_10 | ~spl1_176 | ~spl1_212 | ~spl1_214)), 72.27/71.72 inference(forward_demodulation,[],[f3056,f3000])). 72.27/71.72 fof(f3056,plain,( 72.27/71.72 ( ! [X0] : (complement(X0) = join(complement(join(complement(zero),complement(complement(X0)))),complement(X0))) ) | (~spl1_10 | ~spl1_176 | ~spl1_214)), 72.27/71.72 inference(forward_demodulation,[],[f3042,f75])). 72.27/71.72 fof(f3042,plain,( 72.27/71.72 ( ! [X0] : (complement(X0) = join(complement(join(complement(complement(X0)),complement(zero))),complement(X0))) ) | (~spl1_176 | ~spl1_214)), 72.27/71.72 inference(superposition,[],[f2580,f3036])). 72.27/71.72 fof(f3036,plain,( 72.27/71.72 ( ! [X0] : (join(complement(complement(X0)),zero) = X0) ) | ~spl1_214), 72.27/71.72 inference(avatar_component_clause,[],[f3035])). 72.27/71.72 fof(f3037,plain,( 72.27/71.72 spl1_214 | ~spl1_0 | ~spl1_6 | ~spl1_10 | ~spl1_130 | ~spl1_176), 72.27/71.72 inference(avatar_split_clause,[],[f2902,f2579,f1741,f74,f62,f50,f3035])). 72.27/71.72 fof(f2902,plain,( 72.27/71.72 ( ! [X0] : (join(complement(complement(X0)),zero) = X0) ) | (~spl1_0 | ~spl1_6 | ~spl1_10 | ~spl1_130 | ~spl1_176)), 72.27/71.72 inference(forward_demodulation,[],[f2901,f51])). 72.27/71.72 fof(f2901,plain,( 72.27/71.72 ( ! [X0] : (join(complement(complement(X0)),complement(top)) = X0) ) | (~spl1_6 | ~spl1_10 | ~spl1_130 | ~spl1_176)), 72.27/71.72 inference(forward_demodulation,[],[f2900,f63])). 72.27/71.72 fof(f2900,plain,( 72.27/71.72 ( ! [X0] : (join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0) ) | (~spl1_10 | ~spl1_130 | ~spl1_176)), 72.27/71.72 inference(forward_demodulation,[],[f2859,f75])). 72.27/71.72 fof(f2859,plain,( 72.27/71.72 ( ! [X0] : (join(complement(complement(X0)),complement(join(complement(X0),X0))) = X0) ) | (~spl1_130 | ~spl1_176)), 72.27/71.72 inference(superposition,[],[f2580,f1742])). 72.27/71.72 fof(f3001,plain,( 72.27/71.72 spl1_212 | ~spl1_130 | ~spl1_210), 72.27/71.72 inference(avatar_split_clause,[],[f2944,f2941,f1741,f2999])). 72.27/71.72 fof(f2941,plain,( 72.27/71.72 spl1_210 <=> ! [X9] : join(complement(zero),X9) = top), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_210])])). 72.27/71.72 fof(f2944,plain,( 72.27/71.72 complement(zero) = top | (~spl1_130 | ~spl1_210)), 72.27/71.72 inference(superposition,[],[f2942,f1742])). 72.27/71.72 fof(f2942,plain,( 72.27/71.72 ( ! [X9] : (join(complement(zero),X9) = top) ) | ~spl1_210), 72.27/71.72 inference(avatar_component_clause,[],[f2941])). 72.27/71.72 fof(f2943,plain,( 72.27/71.72 spl1_210 | ~spl1_168 | ~spl1_208), 72.27/71.72 inference(avatar_split_clause,[],[f2935,f2927,f2420,f2941])). 72.27/71.72 fof(f2420,plain,( 72.27/71.72 spl1_168 <=> ! [X11,X12] : join(complement(X11),join(X11,X12)) = top), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_168])])). 72.27/71.72 fof(f2935,plain,( 72.27/71.72 ( ! [X9] : (join(complement(zero),X9) = top) ) | (~spl1_168 | ~spl1_208)), 72.27/71.72 inference(superposition,[],[f2421,f2928])). 72.27/71.72 fof(f2421,plain,( 72.27/71.72 ( ! [X12,X11] : (join(complement(X11),join(X11,X12)) = top) ) | ~spl1_168), 72.27/71.72 inference(avatar_component_clause,[],[f2420])). 72.27/71.72 fof(f2929,plain,( 72.27/71.72 spl1_208 | ~spl1_0 | ~spl1_6 | ~spl1_130 | ~spl1_176), 72.27/71.72 inference(avatar_split_clause,[],[f2908,f2579,f1741,f62,f50,f2927])). 72.27/71.72 fof(f2908,plain,( 72.27/71.72 ( ! [X4] : (join(zero,complement(complement(X4))) = X4) ) | (~spl1_0 | ~spl1_6 | ~spl1_130 | ~spl1_176)), 72.27/71.72 inference(forward_demodulation,[],[f2907,f51])). 72.27/71.72 fof(f2907,plain,( 72.27/71.72 ( ! [X4] : (join(complement(top),complement(complement(X4))) = X4) ) | (~spl1_6 | ~spl1_130 | ~spl1_176)), 72.27/71.72 inference(forward_demodulation,[],[f2862,f1742])). 72.27/71.72 fof(f2862,plain,( 72.27/71.72 ( ! [X4] : (join(complement(top),complement(join(complement(X4),complement(X4)))) = X4) ) | (~spl1_6 | ~spl1_176)), 72.27/71.72 inference(superposition,[],[f2580,f63])). 72.27/71.72 fof(f2581,plain,( 72.27/71.72 spl1_176), 72.27/71.72 inference(avatar_split_clause,[],[f32,f2579])). 72.27/71.72 fof(f32,plain,( 72.27/71.72 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0) )), 72.27/71.72 inference(cnf_transformation,[],[f3])). 72.27/71.72 fof(f3,axiom,( 72.27/71.72 ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan)). 72.27/71.72 fof(f2422,plain,( 72.27/71.72 spl1_168 | ~spl1_6 | ~spl1_48 | ~spl1_70 | ~spl1_118 | ~spl1_128 | ~spl1_130), 72.27/71.72 inference(avatar_split_clause,[],[f1754,f1741,f1689,f1592,f816,f299,f62,f2420])). 72.27/71.72 fof(f816,plain,( 72.27/71.72 spl1_70 <=> ! [X0] : join(complement(X0),X0) = top), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_70])])). 72.27/71.72 fof(f1592,plain,( 72.27/71.72 spl1_118 <=> ! [X1,X0] : join(top,X1) = join(X0,join(complement(X0),X1))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_118])])). 72.27/71.72 fof(f1689,plain,( 72.27/71.72 spl1_128 <=> ! [X4] : join(top,X4) = join(top,complement(complement(X4)))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_128])])). 72.27/71.72 fof(f1754,plain,( 72.27/71.72 ( ! [X12,X11] : (join(complement(X11),join(X11,X12)) = top) ) | (~spl1_6 | ~spl1_48 | ~spl1_70 | ~spl1_118 | ~spl1_128 | ~spl1_130)), 72.27/71.72 inference(backward_demodulation,[],[f1750,f1234])). 72.27/71.72 fof(f1234,plain,( 72.27/71.72 ( ! [X12,X11] : (join(top,X12) = join(complement(X11),join(X11,X12))) ) | (~spl1_48 | ~spl1_70)), 72.27/71.72 inference(superposition,[],[f300,f817])). 72.27/71.72 fof(f817,plain,( 72.27/71.72 ( ! [X0] : (join(complement(X0),X0) = top) ) | ~spl1_70), 72.27/71.72 inference(avatar_component_clause,[],[f816])). 72.27/71.72 fof(f1750,plain,( 72.27/71.72 ( ! [X4] : (join(top,X4) = top) ) | (~spl1_6 | ~spl1_118 | ~spl1_128 | ~spl1_130)), 72.27/71.72 inference(backward_demodulation,[],[f1748,f1690])). 72.27/71.72 fof(f1690,plain,( 72.27/71.72 ( ! [X4] : (join(top,X4) = join(top,complement(complement(X4)))) ) | ~spl1_128), 72.27/71.72 inference(avatar_component_clause,[],[f1689])). 72.27/71.72 fof(f1748,plain,( 72.27/71.72 ( ! [X0] : (join(top,complement(X0)) = top) ) | (~spl1_6 | ~spl1_118 | ~spl1_130)), 72.27/71.72 inference(forward_demodulation,[],[f1745,f63])). 72.27/71.72 fof(f1745,plain,( 72.27/71.72 ( ! [X0] : (join(top,complement(X0)) = join(X0,complement(X0))) ) | (~spl1_118 | ~spl1_130)), 72.27/71.72 inference(superposition,[],[f1593,f1742])). 72.27/71.72 fof(f1593,plain,( 72.27/71.72 ( ! [X0,X1] : (join(top,X1) = join(X0,join(complement(X0),X1))) ) | ~spl1_118), 72.27/71.72 inference(avatar_component_clause,[],[f1592])). 72.27/71.72 fof(f2231,plain,( 72.27/71.72 spl1_164 | ~spl1_6 | ~spl1_54 | ~spl1_72 | ~spl1_74 | ~spl1_118 | ~spl1_128 | ~spl1_130), 72.27/71.72 inference(avatar_split_clause,[],[f1825,f1741,f1689,f1592,f861,f836,f418,f62,f2229])). 72.27/71.72 fof(f418,plain,( 72.27/71.72 spl1_54 <=> ! [X3] : converse(top) = join(X3,converse(complement(converse(X3))))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_54])])). 72.27/71.72 fof(f836,plain,( 72.27/71.72 spl1_72 <=> converse(top) = join(converse(zero),converse(top))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_72])])). 72.27/71.72 fof(f861,plain,( 72.27/71.72 spl1_74 <=> ! [X5] : converse(top) = join(converse(complement(converse(X5))),X5)), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_74])])). 72.27/71.72 fof(f1825,plain,( 72.27/71.72 ( ! [X5] : (join(converse(complement(converse(X5))),X5) = top) ) | (~spl1_6 | ~spl1_54 | ~spl1_72 | ~spl1_74 | ~spl1_118 | ~spl1_128 | ~spl1_130)), 72.27/71.72 inference(backward_demodulation,[],[f1807,f862])). 72.27/71.72 fof(f862,plain,( 72.27/71.72 ( ! [X5] : (converse(top) = join(converse(complement(converse(X5))),X5)) ) | ~spl1_74), 72.27/71.72 inference(avatar_component_clause,[],[f861])). 72.27/71.72 fof(f1807,plain,( 72.27/71.72 converse(top) = top | (~spl1_6 | ~spl1_54 | ~spl1_72 | ~spl1_118 | ~spl1_128 | ~spl1_130)), 72.27/71.72 inference(backward_demodulation,[],[f1781,f837])). 72.27/71.72 fof(f837,plain,( 72.27/71.72 converse(top) = join(converse(zero),converse(top)) | ~spl1_72), 72.27/71.72 inference(avatar_component_clause,[],[f836])). 72.27/71.72 fof(f1781,plain,( 72.27/71.72 ( ! [X6] : (join(X6,converse(top)) = top) ) | (~spl1_6 | ~spl1_54 | ~spl1_118 | ~spl1_128 | ~spl1_130)), 72.27/71.72 inference(backward_demodulation,[],[f1750,f1605])). 72.27/71.72 fof(f1605,plain,( 72.27/71.72 ( ! [X6] : (join(X6,converse(top)) = join(top,converse(complement(converse(complement(X6)))))) ) | (~spl1_54 | ~spl1_118)), 72.27/71.72 inference(superposition,[],[f1593,f419])). 72.27/71.72 fof(f419,plain,( 72.27/71.72 ( ! [X3] : (converse(top) = join(X3,converse(complement(converse(X3))))) ) | ~spl1_54), 72.27/71.72 inference(avatar_component_clause,[],[f418])). 72.27/71.72 fof(f2130,plain,( 72.27/71.72 spl1_158 | ~spl1_6 | ~spl1_54 | ~spl1_72 | ~spl1_118 | ~spl1_128 | ~spl1_130), 72.27/71.72 inference(avatar_split_clause,[],[f1809,f1741,f1689,f1592,f836,f418,f62,f2128])). 72.27/71.72 fof(f1809,plain,( 72.27/71.72 ( ! [X3] : (join(X3,converse(complement(converse(X3)))) = top) ) | (~spl1_6 | ~spl1_54 | ~spl1_72 | ~spl1_118 | ~spl1_128 | ~spl1_130)), 72.27/71.72 inference(backward_demodulation,[],[f1807,f419])). 72.27/71.72 fof(f1937,plain,( 72.27/71.72 spl1_138 | ~spl1_6 | ~spl1_118 | ~spl1_128 | ~spl1_130), 72.27/71.72 inference(avatar_split_clause,[],[f1750,f1741,f1689,f1592,f62,f1935])). 72.27/71.72 fof(f1877,plain,( 72.27/71.72 spl1_132 | ~spl1_6 | ~spl1_54 | ~spl1_72 | ~spl1_118 | ~spl1_128 | ~spl1_130), 72.27/71.72 inference(avatar_split_clause,[],[f1807,f1741,f1689,f1592,f836,f418,f62,f1875])). 72.27/71.72 fof(f1743,plain,( 72.27/71.72 spl1_130 | ~spl1_32 | ~spl1_34 | ~spl1_86), 72.27/71.72 inference(avatar_split_clause,[],[f1735,f1280,f188,f173,f1741])). 72.27/71.72 fof(f173,plain,( 72.27/71.72 spl1_32 <=> converse(one) = one), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_32])])). 72.27/71.72 fof(f1735,plain,( 72.27/71.72 ( ! [X38] : (complement(X38) = join(complement(X38),complement(X38))) ) | (~spl1_32 | ~spl1_34 | ~spl1_86)), 72.27/71.72 inference(forward_demodulation,[],[f1734,f189])). 72.27/71.72 fof(f1734,plain,( 72.27/71.72 ( ! [X38] : (complement(X38) = join(complement(composition(one,X38)),complement(X38))) ) | (~spl1_32 | ~spl1_34 | ~spl1_86)), 72.27/71.72 inference(forward_demodulation,[],[f1716,f189])). 72.27/71.72 fof(f1716,plain,( 72.27/71.72 ( ! [X38] : (complement(X38) = join(composition(one,complement(composition(one,X38))),complement(X38))) ) | (~spl1_32 | ~spl1_86)), 72.27/71.72 inference(superposition,[],[f1281,f174])). 72.27/71.72 fof(f174,plain,( 72.27/71.72 converse(one) = one | ~spl1_32), 72.27/71.72 inference(avatar_component_clause,[],[f173])). 72.27/71.72 fof(f1691,plain,( 72.27/71.72 spl1_128 | ~spl1_98 | ~spl1_126), 72.27/71.72 inference(avatar_split_clause,[],[f1685,f1667,f1348,f1689])). 72.27/71.72 fof(f1348,plain,( 72.27/71.72 spl1_98 <=> ! [X1] : join(top,X1) = join(zero,join(X1,top))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_98])])). 72.27/71.72 fof(f1667,plain,( 72.27/71.72 spl1_126 <=> ! [X4] : join(X4,top) = join(complement(complement(X4)),top)), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_126])])). 72.27/71.72 fof(f1685,plain,( 72.27/71.72 ( ! [X4] : (join(top,X4) = join(top,complement(complement(X4)))) ) | (~spl1_98 | ~spl1_126)), 72.27/71.72 inference(forward_demodulation,[],[f1677,f1349])). 72.27/71.72 fof(f1349,plain,( 72.27/71.72 ( ! [X1] : (join(top,X1) = join(zero,join(X1,top))) ) | ~spl1_98), 72.27/71.72 inference(avatar_component_clause,[],[f1348])). 72.27/71.72 fof(f1677,plain,( 72.27/71.72 ( ! [X4] : (join(top,complement(complement(X4))) = join(zero,join(X4,top))) ) | (~spl1_98 | ~spl1_126)), 72.27/71.72 inference(superposition,[],[f1349,f1668])). 72.27/71.72 fof(f1668,plain,( 72.27/71.72 ( ! [X4] : (join(X4,top) = join(complement(complement(X4)),top)) ) | ~spl1_126), 72.27/71.72 inference(avatar_component_clause,[],[f1667])). 72.27/71.72 fof(f1669,plain,( 72.27/71.72 spl1_126 | ~spl1_4 | ~spl1_66 | ~spl1_124), 72.27/71.72 inference(avatar_split_clause,[],[f1665,f1656,f642,f58,f1667])). 72.27/71.72 fof(f642,plain,( 72.27/71.72 spl1_66 <=> ! [X3,X4] : converse(converse(join(X4,X3))) = join(X3,X4)), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_66])])). 72.27/71.72 fof(f1656,plain,( 72.27/71.72 spl1_124 <=> ! [X5] : join(X5,top) = join(top,complement(complement(X5)))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_124])])). 72.27/71.72 fof(f1665,plain,( 72.27/71.72 ( ! [X4] : (join(X4,top) = join(complement(complement(X4)),top)) ) | (~spl1_4 | ~spl1_66 | ~spl1_124)), 72.27/71.72 inference(forward_demodulation,[],[f1663,f59])). 72.27/71.72 fof(f1663,plain,( 72.27/71.72 ( ! [X4] : (converse(converse(join(X4,top))) = join(complement(complement(X4)),top)) ) | (~spl1_66 | ~spl1_124)), 72.27/71.72 inference(superposition,[],[f643,f1657])). 72.27/71.72 fof(f1657,plain,( 72.27/71.72 ( ! [X5] : (join(X5,top) = join(top,complement(complement(X5)))) ) | ~spl1_124), 72.27/71.72 inference(avatar_component_clause,[],[f1656])). 72.27/71.72 fof(f643,plain,( 72.27/71.72 ( ! [X4,X3] : (converse(converse(join(X4,X3))) = join(X3,X4)) ) | ~spl1_66), 72.27/71.72 inference(avatar_component_clause,[],[f642])). 72.27/71.72 fof(f1658,plain,( 72.27/71.72 spl1_124 | ~spl1_6 | ~spl1_118), 72.27/71.72 inference(avatar_split_clause,[],[f1604,f1592,f62,f1656])). 72.27/71.72 fof(f1604,plain,( 72.27/71.72 ( ! [X5] : (join(X5,top) = join(top,complement(complement(X5)))) ) | (~spl1_6 | ~spl1_118)), 72.27/71.72 inference(superposition,[],[f1593,f63])). 72.27/71.72 fof(f1594,plain,( 72.27/71.72 spl1_118 | ~spl1_6 | ~spl1_48), 72.27/71.72 inference(avatar_split_clause,[],[f1229,f299,f62,f1592])). 72.27/71.72 fof(f1229,plain,( 72.27/71.72 ( ! [X0,X1] : (join(top,X1) = join(X0,join(complement(X0),X1))) ) | (~spl1_6 | ~spl1_48)), 72.27/71.72 inference(superposition,[],[f300,f63])). 72.27/71.72 fof(f1456,plain,( 72.27/71.72 spl1_108), 72.27/71.72 inference(avatar_split_clause,[],[f35,f1454])). 72.27/71.72 fof(f35,plain,( 72.27/71.72 ( ! [X2,X0,X1] : (composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))) )), 72.27/71.72 inference(cnf_transformation,[],[f5])). 72.27/71.72 fof(f5,axiom,( 72.27/71.72 ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity)). 72.27/71.72 fof(f1350,plain,( 72.27/71.72 spl1_98 | ~spl1_48 | ~spl1_92), 72.27/71.72 inference(avatar_split_clause,[],[f1326,f1309,f299,f1348])). 72.27/71.72 fof(f1309,plain,( 72.27/71.72 spl1_92 <=> ! [X2] : join(top,X2) = join(join(zero,X2),top)), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_92])])). 72.27/71.72 fof(f1326,plain,( 72.27/71.72 ( ! [X1] : (join(top,X1) = join(zero,join(X1,top))) ) | (~spl1_48 | ~spl1_92)), 72.27/71.72 inference(superposition,[],[f1310,f300])). 72.27/71.72 fof(f1310,plain,( 72.27/71.72 ( ! [X2] : (join(top,X2) = join(join(zero,X2),top)) ) | ~spl1_92), 72.27/71.72 inference(avatar_component_clause,[],[f1309])). 72.27/71.72 fof(f1311,plain,( 72.27/71.72 spl1_92 | ~spl1_4 | ~spl1_66 | ~spl1_84), 72.27/71.72 inference(avatar_split_clause,[],[f1291,f1276,f642,f58,f1309])). 72.27/71.72 fof(f1276,plain,( 72.27/71.72 spl1_84 <=> ! [X36] : join(top,X36) = join(top,join(zero,X36))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_84])])). 72.27/71.72 fof(f1291,plain,( 72.27/71.72 ( ! [X2] : (join(top,X2) = join(join(zero,X2),top)) ) | (~spl1_4 | ~spl1_66 | ~spl1_84)), 72.27/71.72 inference(forward_demodulation,[],[f1288,f59])). 72.27/71.72 fof(f1288,plain,( 72.27/71.72 ( ! [X2] : (converse(converse(join(top,X2))) = join(join(zero,X2),top)) ) | (~spl1_66 | ~spl1_84)), 72.27/71.72 inference(superposition,[],[f643,f1277])). 72.27/71.72 fof(f1277,plain,( 72.27/71.72 ( ! [X36] : (join(top,X36) = join(top,join(zero,X36))) ) | ~spl1_84), 72.27/71.72 inference(avatar_component_clause,[],[f1276])). 72.27/71.72 fof(f1282,plain,( 72.27/71.72 spl1_86), 72.27/71.72 inference(avatar_split_clause,[],[f31,f1280])). 72.27/71.72 fof(f31,plain,( 72.27/71.72 ( ! [X0,X1] : (complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))) )), 72.27/71.72 inference(cnf_transformation,[],[f1])). 72.27/71.72 fof(f1,axiom,( 72.27/71.72 ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity)). 72.27/71.72 fof(f1278,plain,( 72.27/71.72 spl1_84 | ~spl1_8 | ~spl1_48), 72.27/71.72 inference(avatar_split_clause,[],[f1246,f299,f70,f1276])). 72.27/71.72 fof(f70,plain,( 72.27/71.72 spl1_8 <=> join(top,zero) = top), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 72.27/71.72 fof(f1246,plain,( 72.27/71.72 ( ! [X36] : (join(top,X36) = join(top,join(zero,X36))) ) | (~spl1_8 | ~spl1_48)), 72.27/71.72 inference(superposition,[],[f300,f71])). 72.27/71.72 fof(f71,plain,( 72.27/71.72 join(top,zero) = top | ~spl1_8), 72.27/71.72 inference(avatar_component_clause,[],[f70])). 72.27/71.72 fof(f1016,plain,( 72.27/71.72 spl1_82 | ~spl1_10 | ~spl1_24), 72.27/71.72 inference(avatar_split_clause,[],[f533,f113,f74,f1014])). 72.27/71.72 fof(f533,plain,( 72.27/71.72 ( ! [X2,X1] : (converse(join(converse(X2),X1)) = join(converse(X1),X2)) ) | (~spl1_10 | ~spl1_24)), 72.27/71.72 inference(superposition,[],[f114,f75])). 72.27/71.72 fof(f1012,plain,( 72.27/71.72 spl1_80 | ~spl1_10 | ~spl1_22), 72.27/71.72 inference(avatar_split_clause,[],[f388,f109,f74,f1010])). 72.27/71.72 fof(f109,plain,( 72.27/71.72 spl1_22 <=> ! [X1,X0] : converse(join(converse(X0),X1)) = join(X0,converse(X1))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])). 72.27/71.72 fof(f388,plain,( 72.27/71.72 ( ! [X4,X5] : (converse(join(X5,converse(X4))) = join(X4,converse(X5))) ) | (~spl1_10 | ~spl1_22)), 72.27/71.72 inference(superposition,[],[f110,f75])). 72.27/71.72 fof(f110,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(join(converse(X0),X1)) = join(X0,converse(X1))) ) | ~spl1_22), 72.27/71.72 inference(avatar_component_clause,[],[f109])). 72.27/71.72 fof(f863,plain,( 72.27/71.72 spl1_74 | ~spl1_4 | ~spl1_54 | ~spl1_66), 72.27/71.72 inference(avatar_split_clause,[],[f774,f642,f418,f58,f861])). 72.27/71.72 fof(f774,plain,( 72.27/71.72 ( ! [X5] : (converse(top) = join(converse(complement(converse(X5))),X5)) ) | (~spl1_4 | ~spl1_54 | ~spl1_66)), 72.27/71.72 inference(forward_demodulation,[],[f736,f59])). 72.27/71.72 fof(f736,plain,( 72.27/71.72 ( ! [X5] : (converse(converse(converse(top))) = join(converse(complement(converse(X5))),X5)) ) | (~spl1_54 | ~spl1_66)), 72.27/71.72 inference(superposition,[],[f643,f419])). 72.27/71.72 fof(f838,plain,( 72.27/71.72 spl1_72 | ~spl1_4 | ~spl1_62 | ~spl1_66), 72.27/71.72 inference(avatar_split_clause,[],[f783,f642,f513,f58,f836])). 72.27/71.72 fof(f513,plain,( 72.27/71.72 spl1_62 <=> converse(top) = join(converse(top),converse(zero))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_62])])). 72.27/71.72 fof(f783,plain,( 72.27/71.72 converse(top) = join(converse(zero),converse(top)) | (~spl1_4 | ~spl1_62 | ~spl1_66)), 72.27/71.72 inference(forward_demodulation,[],[f743,f59])). 72.27/71.72 fof(f743,plain,( 72.27/71.72 converse(converse(converse(top))) = join(converse(zero),converse(top)) | (~spl1_62 | ~spl1_66)), 72.27/71.72 inference(superposition,[],[f643,f514])). 72.27/71.72 fof(f514,plain,( 72.27/71.72 converse(top) = join(converse(top),converse(zero)) | ~spl1_62), 72.27/71.72 inference(avatar_component_clause,[],[f513])). 72.27/71.72 fof(f818,plain,( 72.27/71.72 spl1_70 | ~spl1_4 | ~spl1_6 | ~spl1_66), 72.27/71.72 inference(avatar_split_clause,[],[f773,f642,f62,f58,f816])). 72.27/71.72 fof(f773,plain,( 72.27/71.72 ( ! [X0] : (join(complement(X0),X0) = top) ) | (~spl1_4 | ~spl1_6 | ~spl1_66)), 72.27/71.72 inference(forward_demodulation,[],[f733,f59])). 72.27/71.72 fof(f733,plain,( 72.27/71.72 ( ! [X0] : (converse(converse(top)) = join(complement(X0),X0)) ) | (~spl1_6 | ~spl1_66)), 72.27/71.72 inference(superposition,[],[f643,f63])). 72.27/71.72 fof(f644,plain,( 72.27/71.72 spl1_66 | ~spl1_4 | ~spl1_22 | ~spl1_28), 72.27/71.72 inference(avatar_split_clause,[],[f632,f121,f109,f58,f642])). 72.27/71.72 fof(f121,plain,( 72.27/71.72 spl1_28 <=> ! [X3,X2] : converse(join(X2,X3)) = join(converse(X3),converse(X2))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_28])])). 72.27/71.72 fof(f632,plain,( 72.27/71.72 ( ! [X4,X3] : (converse(converse(join(X4,X3))) = join(X3,X4)) ) | (~spl1_4 | ~spl1_22 | ~spl1_28)), 72.27/71.72 inference(forward_demodulation,[],[f604,f59])). 72.27/71.72 fof(f604,plain,( 72.27/71.72 ( ! [X4,X3] : (converse(converse(join(X4,X3))) = join(X3,converse(converse(X4)))) ) | (~spl1_22 | ~spl1_28)), 72.27/71.72 inference(superposition,[],[f110,f122])). 72.27/71.72 fof(f122,plain,( 72.27/71.72 ( ! [X2,X3] : (converse(join(X2,X3)) = join(converse(X3),converse(X2))) ) | ~spl1_28), 72.27/71.72 inference(avatar_component_clause,[],[f121])). 72.27/71.72 fof(f515,plain,( 72.27/71.72 spl1_62 | ~spl1_0 | ~spl1_60), 72.27/71.72 inference(avatar_split_clause,[],[f503,f490,f50,f513])). 72.27/71.72 fof(f490,plain,( 72.27/71.72 spl1_60 <=> ! [X0] : converse(top) = join(converse(X0),converse(complement(X0)))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_60])])). 72.27/71.72 fof(f503,plain,( 72.27/71.72 converse(top) = join(converse(top),converse(zero)) | (~spl1_0 | ~spl1_60)), 72.27/71.72 inference(superposition,[],[f491,f51])). 72.27/71.72 fof(f491,plain,( 72.27/71.72 ( ! [X0] : (converse(top) = join(converse(X0),converse(complement(X0)))) ) | ~spl1_60), 72.27/71.72 inference(avatar_component_clause,[],[f490])). 72.27/71.72 fof(f492,plain,( 72.27/71.72 spl1_60 | ~spl1_4 | ~spl1_54), 72.27/71.72 inference(avatar_split_clause,[],[f421,f418,f58,f490])). 72.27/71.72 fof(f421,plain,( 72.27/71.72 ( ! [X0] : (converse(top) = join(converse(X0),converse(complement(X0)))) ) | (~spl1_4 | ~spl1_54)), 72.27/71.72 inference(superposition,[],[f419,f59])). 72.27/71.72 fof(f420,plain,( 72.27/71.72 spl1_54 | ~spl1_6 | ~spl1_22), 72.27/71.72 inference(avatar_split_clause,[],[f387,f109,f62,f418])). 72.27/71.72 fof(f387,plain,( 72.27/71.72 ( ! [X3] : (converse(top) = join(X3,converse(complement(converse(X3))))) ) | (~spl1_6 | ~spl1_22)), 72.27/71.72 inference(superposition,[],[f110,f63])). 72.27/71.72 fof(f301,plain,( 72.27/71.72 spl1_48), 72.27/71.72 inference(avatar_split_clause,[],[f34,f299])). 72.27/71.72 fof(f34,plain,( 72.27/71.72 ( ! [X2,X0,X1] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2)) )), 72.27/71.72 inference(cnf_transformation,[],[f10])). 72.27/71.72 fof(f10,axiom,( 72.27/71.72 ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2)), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity)). 72.27/71.72 fof(f190,plain,( 72.27/71.72 spl1_34 | ~spl1_2 | ~spl1_30), 72.27/71.72 inference(avatar_split_clause,[],[f166,f157,f54,f188])). 72.27/71.72 fof(f157,plain,( 72.27/71.72 spl1_30 <=> ! [X2] : composition(converse(one),X2) = X2), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_30])])). 72.27/71.72 fof(f166,plain,( 72.27/71.72 ( ! [X2] : (composition(one,X2) = X2) ) | (~spl1_2 | ~spl1_30)), 72.27/71.72 inference(backward_demodulation,[],[f161,f158])). 72.27/71.72 fof(f158,plain,( 72.27/71.72 ( ! [X2] : (composition(converse(one),X2) = X2) ) | ~spl1_30), 72.27/71.72 inference(avatar_component_clause,[],[f157])). 72.27/71.72 fof(f161,plain,( 72.27/71.72 converse(one) = one | (~spl1_2 | ~spl1_30)), 72.27/71.72 inference(superposition,[],[f158,f55])). 72.27/71.72 fof(f175,plain,( 72.27/71.72 spl1_32 | ~spl1_2 | ~spl1_30), 72.27/71.72 inference(avatar_split_clause,[],[f161,f157,f54,f173])). 72.27/71.72 fof(f159,plain,( 72.27/71.72 spl1_30 | ~spl1_2 | ~spl1_4 | ~spl1_20), 72.27/71.72 inference(avatar_split_clause,[],[f151,f105,f58,f54,f157])). 72.27/71.72 fof(f151,plain,( 72.27/71.72 ( ! [X2] : (composition(converse(one),X2) = X2) ) | (~spl1_2 | ~spl1_4 | ~spl1_20)), 72.27/71.72 inference(forward_demodulation,[],[f138,f59])). 72.27/71.72 fof(f138,plain,( 72.27/71.72 ( ! [X2] : (converse(converse(X2)) = composition(converse(one),X2)) ) | (~spl1_2 | ~spl1_20)), 72.27/71.72 inference(superposition,[],[f106,f55])). 72.27/71.72 fof(f123,plain,( 72.27/71.72 spl1_28 | ~spl1_10 | ~spl1_16), 72.27/71.72 inference(avatar_split_clause,[],[f96,f89,f74,f121])). 72.27/71.72 fof(f89,plain,( 72.27/71.72 spl1_16 <=> ! [X1,X0] : converse(join(X0,X1)) = join(converse(X0),converse(X1))), 72.27/71.72 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 72.27/71.72 fof(f96,plain,( 72.27/71.72 ( ! [X2,X3] : (converse(join(X2,X3)) = join(converse(X3),converse(X2))) ) | (~spl1_10 | ~spl1_16)), 72.27/71.72 inference(superposition,[],[f90,f75])). 72.27/71.72 fof(f90,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(join(X0,X1)) = join(converse(X0),converse(X1))) ) | ~spl1_16), 72.27/71.72 inference(avatar_component_clause,[],[f89])). 72.27/71.72 fof(f119,plain,( 72.27/71.72 spl1_26), 72.27/71.72 inference(avatar_split_clause,[],[f33,f117])). 72.27/71.72 fof(f33,plain,( 72.27/71.72 ( ! [X2,X0,X1] : (composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)) )), 72.27/71.72 inference(cnf_transformation,[],[f9])). 72.27/71.72 fof(f9,axiom,( 72.27/71.72 ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity)). 72.27/71.72 fof(f115,plain,( 72.27/71.72 spl1_24 | ~spl1_4 | ~spl1_16), 72.27/71.72 inference(avatar_split_clause,[],[f95,f89,f58,f113])). 72.27/71.72 fof(f95,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(join(X1,converse(X0))) = join(converse(X1),X0)) ) | (~spl1_4 | ~spl1_16)), 72.27/71.72 inference(superposition,[],[f90,f59])). 72.27/71.72 fof(f111,plain,( 72.27/71.72 spl1_22 | ~spl1_4 | ~spl1_16), 72.27/71.72 inference(avatar_split_clause,[],[f94,f89,f58,f109])). 72.27/71.72 fof(f94,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(join(converse(X0),X1)) = join(X0,converse(X1))) ) | (~spl1_4 | ~spl1_16)), 72.27/71.72 inference(superposition,[],[f90,f59])). 72.27/71.72 fof(f107,plain,( 72.27/71.72 spl1_20 | ~spl1_4 | ~spl1_14), 72.27/71.72 inference(avatar_split_clause,[],[f93,f85,f58,f105])). 72.27/71.72 fof(f93,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(composition(converse(X0),X1)) = composition(converse(X1),X0)) ) | (~spl1_4 | ~spl1_14)), 72.27/71.72 inference(superposition,[],[f86,f59])). 72.27/71.72 fof(f103,plain,( 72.27/71.72 spl1_18 | ~spl1_4 | ~spl1_14), 72.27/71.72 inference(avatar_split_clause,[],[f92,f85,f58,f101])). 72.27/71.72 fof(f92,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(composition(X1,converse(X0))) = composition(X0,converse(X1))) ) | (~spl1_4 | ~spl1_14)), 72.27/71.72 inference(superposition,[],[f86,f59])). 72.27/71.72 fof(f91,plain,( 72.27/71.72 spl1_16), 72.27/71.72 inference(avatar_split_clause,[],[f30,f89])). 72.27/71.72 fof(f30,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(join(X0,X1)) = join(converse(X0),converse(X1))) )), 72.27/71.72 inference(cnf_transformation,[],[f13])). 72.27/71.72 fof(f13,axiom,( 72.27/71.72 ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1))), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity)). 72.27/71.72 fof(f87,plain,( 72.27/71.72 spl1_14), 72.27/71.72 inference(avatar_split_clause,[],[f28,f85])). 72.27/71.72 fof(f28,plain,( 72.27/71.72 ( ! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) )), 72.27/71.72 inference(cnf_transformation,[],[f2])). 72.27/71.72 fof(f2,axiom,( 72.27/71.72 ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0))), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity)). 72.27/71.72 fof(f83,plain,( 72.27/71.72 ~spl1_13), 72.27/71.72 inference(avatar_split_clause,[],[f22,f81])). 72.27/71.72 fof(f22,plain,( 72.27/71.72 complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top)), 72.27/71.72 inference(cnf_transformation,[],[f21])). 72.27/71.72 fof(f21,plain,( 72.27/71.72 complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top)), 72.27/71.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20])). 72.27/71.72 fof(f20,plain,( 72.27/71.72 ? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top) => complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top)), 72.27/71.72 introduced(choice_axiom,[])). 72.27/71.72 fof(f19,plain,( 72.27/71.72 ? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top)), 72.27/71.72 inference(ennf_transformation,[],[f18])). 72.27/71.72 fof(f18,negated_conjecture,( 72.27/71.72 ~! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top)), 72.27/71.72 inference(negated_conjecture,[],[f17])). 72.27/71.72 fof(f17,conjecture,( 72.27/71.72 ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top)), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)). 72.27/71.72 fof(f76,plain,( 72.27/71.72 spl1_10), 72.27/71.72 inference(avatar_split_clause,[],[f27,f74])). 72.27/71.72 fof(f27,plain,( 72.27/71.72 ( ! [X0,X1] : (join(X0,X1) = join(X1,X0)) )), 72.27/71.72 inference(cnf_transformation,[],[f7])). 72.27/71.72 fof(f7,axiom,( 72.27/71.72 ! [X0,X1] : join(X0,X1) = join(X1,X0)), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity)). 72.27/71.72 fof(f72,plain,( 72.27/71.72 spl1_8 | ~spl1_0 | ~spl1_6), 72.27/71.72 inference(avatar_split_clause,[],[f65,f62,f50,f70])). 72.27/71.72 fof(f65,plain,( 72.27/71.72 join(top,zero) = top | (~spl1_0 | ~spl1_6)), 72.27/71.72 inference(superposition,[],[f63,f51])). 72.27/71.72 fof(f64,plain,( 72.27/71.72 spl1_6), 72.27/71.72 inference(avatar_split_clause,[],[f26,f62])). 72.27/71.72 fof(f26,plain,( 72.27/71.72 ( ! [X0] : (join(X0,complement(X0)) = top) )), 72.27/71.72 inference(cnf_transformation,[],[f4])). 72.27/71.72 fof(f4,axiom,( 72.27/71.72 ! [X0] : join(X0,complement(X0)) = top), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top)). 72.27/71.72 fof(f60,plain,( 72.27/71.72 spl1_4), 72.27/71.72 inference(avatar_split_clause,[],[f24,f58])). 72.27/71.72 fof(f24,plain,( 72.27/71.72 ( ! [X0] : (converse(converse(X0)) = X0) )), 72.27/71.72 inference(cnf_transformation,[],[f8])). 72.27/71.72 fof(f8,axiom,( 72.27/71.72 ! [X0] : converse(converse(X0)) = X0), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence)). 72.27/71.72 fof(f56,plain,( 72.27/71.72 spl1_2), 72.27/71.72 inference(avatar_split_clause,[],[f23,f54])). 72.27/71.72 fof(f23,plain,( 72.27/71.72 ( ! [X0] : (composition(X0,one) = X0) )), 72.27/71.72 inference(cnf_transformation,[],[f11])). 72.27/71.72 fof(f11,axiom,( 72.27/71.72 ! [X0] : composition(X0,one) = X0), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity)). 72.27/71.72 fof(f52,plain,( 72.27/71.72 spl1_0), 72.27/71.72 inference(avatar_split_clause,[],[f43,f50])). 72.27/71.72 fof(f43,plain,( 72.27/71.72 complement(top) = zero), 72.27/71.72 inference(backward_demodulation,[],[f26,f39])). 72.27/71.72 fof(f39,plain,( 72.27/71.72 ( ! [X0] : (complement(join(complement(X0),complement(complement(X0)))) = zero) )), 72.27/71.72 inference(definition_unfolding,[],[f25,f29])). 72.27/71.72 fof(f29,plain,( 72.27/71.72 ( ! [X0,X1] : (complement(join(complement(X0),complement(X1))) = meet(X0,X1)) )), 72.27/71.72 inference(cnf_transformation,[],[f6])). 72.27/71.72 fof(f6,axiom,( 72.27/71.72 ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1)), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet)). 72.27/71.72 fof(f25,plain,( 72.27/71.72 ( ! [X0] : (meet(X0,complement(X0)) = zero) )), 72.27/71.72 inference(cnf_transformation,[],[f12])). 72.27/71.72 fof(f12,axiom,( 72.27/71.72 ! [X0] : meet(X0,complement(X0)) = zero), 72.27/71.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero)). 72.27/71.72 % SZS output end Proof for theBenchmark 72.27/71.72 % ------------------------------ 72.27/71.72 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 72.27/71.72 % Termination reason: Refutation 72.27/71.72 72.27/71.72 % Memory used [KB]: 1105440 72.27/71.72 % Time elapsed: 21.714 s 72.27/71.72 % ------------------------------ 72.27/71.72 % ------------------------------ 72.45/71.88 % Success in time 71.552 s 72.45/71.88 EOF