0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_vampire %s %d 0.11/0.31 % Computer : n011.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 1200 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Jul 13 14:07:10 EDT 2021 0.11/0.32 % CPUTime : 0.17/0.41 % (22536)dis+1_8_afp=4000:afq=1.1:amm=sco:gsp=input_only:nm=64:newcnf=on:nwc=4:sac=on:sp=occurrence:updr=off_191 on theBenchmark 0.17/0.41 % (22534)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.17/0.42 % (22545)ott+1_40_av=off:bs=unit_only:bsr=on:br=off:fsr=off:lma=on:nm=64:newcnf=on:nwc=1.5:sp=occurrence:urr=on:updr=off_81 on theBenchmark 0.17/0.42 % (22544)lrs+1_1_av=off:bsr=on:br=off:gs=on:gsem=on:lma=on:lwlo=on:nm=64:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_152 on theBenchmark 0.17/0.42 % (22543)dis+11_40_afr=on:afp=40000:afq=1.2:amm=sco:anc=none:br=off:fsr=off:gs=on:nm=64:nwc=1:sas=z3:sos=all:sp=reverse_arity:thf=on:urr=on:updr=off_2 on theBenchmark 0.17/0.43 % (22537)dis+10_128_add=large:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=2:nwc=1:sp=reverse_arity_3 on theBenchmark 0.17/0.44 % (22544)Refutation not found, incomplete strategy% (22544)------------------------------ 0.17/0.44 % (22544)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.17/0.45 % (22541)dis+11_3_awrs=decay:awrsf=256:av=off:gs=on:gsem=on:lcm=reverse:nm=0:nwc=1:sos=all:sp=frequency:updr=off_4 on theBenchmark 0.17/0.45 % (22540)WARNING: option uwaf not known. 0.17/0.45 % (22544)Termination reason: Refutation not found, incomplete strategy 0.17/0.45 0.17/0.45 % (22544)Memory used [KB]: 5500 0.17/0.45 % (22544)Time elapsed: 0.072 s 0.17/0.45 % (22544)------------------------------ 0.17/0.45 % (22544)------------------------------ 0.17/0.46 % (22538)lrs+1003_2:3_afr=on:afp=100000:afq=1.1:amm=off:anc=none:bs=on:fde=unused:gs=on:inw=on:nm=0:newcnf=on:nwc=1:sas=z3:stl=30:sac=on:sp=occurrence:tha=off:updr=off:uhcvi=on_2 on theBenchmark 0.17/0.46 % (22540)lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_73 on theBenchmark 0.17/0.46 % (22539)dis+11_24_afp=40000:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 0.17/0.46 % (22531)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.17/0.46 % (22533)lrs-11_4:1_afp=4000:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_3 on theBenchmark 0.17/0.47 % (22533)Refutation not found, incomplete strategy% (22533)------------------------------ 0.17/0.47 % (22533)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.17/0.47 % (22533)Termination reason: Refutation not found, incomplete strategy 0.17/0.47 0.17/0.47 % (22533)Memory used [KB]: 10106 0.17/0.47 % (22533)Time elapsed: 0.089 s 0.17/0.47 % (22533)------------------------------ 0.17/0.47 % (22533)------------------------------ 0.17/0.47 % (22532)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_3 on theBenchmark 0.17/0.47 % (22550)dis+1_14_awrs=converge:awrsf=256:av=off:bs=on:bsr=on:bce=on:cond=fast:gsp=input_only:gs=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=weighted_frequency:urr=on_33 on theBenchmark 0.17/0.47 % (22530)dis+1011_10_add=large:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_2 on theBenchmark 0.17/0.47 % (22535)dis+1002_8_awrs=converge:awrsf=64:av=off:cond=fast:fsr=off:gsp=input_only:lma=on:nm=64:nwc=1.2:s2a=on:sos=on:sp=frequency:urr=on:updr=off:uhcvi=on_12 on theBenchmark 0.17/0.49 % (22542)lrs+1011_2:1_add=large:afr=on:afp=4000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sp=reverse_arity:thf=on:urr=on:updr=off_81 on theBenchmark 0.17/0.49 % (22549)lrs+10_4_add=off:afp=100000:afq=2.0:amm=sco:anc=none:nm=64:nwc=1:stl=150:sp=occurrence:updr=off_733 on theBenchmark 0.17/0.49 % (22546)dis+1011_4_awrs=decay:awrsf=32:afp=40000:afq=1.0:amm=off:anc=all:bs=on:cond=on:fsr=off:gsp=input_only:lma=on:nm=16:nwc=1:nicw=on:sac=on:sp=frequency:thi=all:updr=off:uhcvi=on_670 on theBenchmark 0.17/0.49 % (22547)ott+11_5:1_afp=100000:afq=1.1:br=off:gs=on:nm=64:nwc=1:sos=all:urr=on:updr=off_287 on theBenchmark 0.17/0.50 % (22548)lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_2 on theBenchmark 0.17/0.51 % (22545)Refutation not found, incomplete strategy% (22545)------------------------------ 0.17/0.51 % (22545)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.17/0.51 % (22545)Termination reason: Refutation not found, incomplete strategy 0.17/0.51 0.17/0.51 % (22545)Memory used [KB]: 1535 0.17/0.51 % (22545)Time elapsed: 0.089 s 0.17/0.51 % (22545)------------------------------ 0.17/0.51 % (22545)------------------------------ 0.17/0.52 % (22547)Refutation not found, incomplete strategy% (22547)------------------------------ 0.17/0.52 % (22547)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.17/0.52 % (22547)Termination reason: Refutation not found, incomplete strategy 0.17/0.52 0.17/0.52 % (22547)Memory used [KB]: 10234 0.17/0.52 % (22547)Time elapsed: 0.122 s 0.17/0.52 % (22547)------------------------------ 0.17/0.52 % (22547)------------------------------ 0.17/0.55 % (22543)Refutation not found, incomplete strategy% (22543)------------------------------ 0.17/0.55 % (22543)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.17/0.55 % (22543)Termination reason: Refutation not found, incomplete strategy 0.17/0.55 0.17/0.55 % (22543)Memory used [KB]: 5500 0.17/0.55 % (22543)Time elapsed: 0.172 s 0.17/0.55 % (22543)------------------------------ 0.17/0.55 % (22543)------------------------------ 2.31/0.65 % (22539)Refutation found. Thanks to Tanya! 2.31/0.65 % SZS status Theorem for theBenchmark 2.31/0.65 % SZS output start Proof for theBenchmark 2.31/0.65 fof(f5963,plain,( 2.31/0.65 $false), 2.31/0.65 inference(avatar_sat_refutation,[],[f204,f286,f299,f346,f359,f375,f652,f674,f689,f778,f785,f839,f902,f1131,f1485,f1654,f1665,f1671,f1773,f1890,f1985,f2314,f2361,f2434,f2536,f3366,f3622,f3635,f3692,f3726,f3778,f3887,f3923,f4095,f4118,f4213,f4267,f4318,f4336,f4396,f4417,f4465,f5135,f5753,f5785,f5787,f5868,f5880,f5962])). 2.31/0.65 fof(f5962,plain,( 2.31/0.65 ~spl32_1 | spl32_12 | spl32_13 | spl32_14 | ~spl32_16 | ~spl32_89), 2.31/0.65 inference(avatar_contradiction_clause,[],[f5961])). 2.31/0.65 fof(f5961,plain,( 2.31/0.65 $false | (~spl32_1 | spl32_12 | spl32_13 | spl32_14 | ~spl32_16 | ~spl32_89)), 2.31/0.65 inference(subsumption_resolution,[],[f5957,f5914])). 2.31/0.65 fof(f5914,plain,( 2.31/0.65 ~g_false_only(sK23(sK30),sK29(sK23(sK30))) | ~spl32_89), 2.31/0.65 inference(resolution,[],[f1660,f136])). 2.31/0.65 fof(f136,plain,( 2.31/0.65 ( ! [X0] : (~sP1(X0) | ~g_false_only(X0,sK29(X0))) )), 2.31/0.65 inference(cnf_transformation,[],[f86])). 2.31/0.65 fof(f86,plain,( 2.31/0.65 ! [X0] : ((~g_false_only(X0,sK29(X0)) & ~g_false_only(sK29(X0),X0) & (g_both(X0,sK29(X0)) | g_both(sK29(X0),X0))) | ~sP1(X0))), 2.31/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f84,f85])). 2.31/0.65 fof(f85,plain,( 2.31/0.65 ! [X0] : (? [X1] : (~g_false_only(X0,X1) & ~g_false_only(X1,X0) & (g_both(X0,X1) | g_both(X1,X0))) => (~g_false_only(X0,sK29(X0)) & ~g_false_only(sK29(X0),X0) & (g_both(X0,sK29(X0)) | g_both(sK29(X0),X0))))), 2.31/0.65 introduced(choice_axiom,[])). 2.31/0.65 fof(f84,plain,( 2.31/0.65 ! [X0] : (? [X1] : (~g_false_only(X0,X1) & ~g_false_only(X1,X0) & (g_both(X0,X1) | g_both(X1,X0))) | ~sP1(X0))), 2.31/0.65 inference(rectify,[],[f83])). 2.31/0.65 fof(f83,plain,( 2.31/0.65 ! [X15] : (? [X22] : (~g_false_only(X15,X22) & ~g_false_only(X22,X15) & (g_both(X15,X22) | g_both(X22,X15))) | ~sP1(X15))), 2.31/0.65 inference(nnf_transformation,[],[f10])). 2.31/0.65 fof(f10,plain,( 2.31/0.65 ! [X15] : (? [X22] : (~g_false_only(X15,X22) & ~g_false_only(X22,X15) & (g_both(X15,X22) | g_both(X22,X15))) | ~sP1(X15))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 2.31/0.65 fof(f1660,plain,( 2.31/0.65 sP1(sK23(sK30)) | ~spl32_89), 2.31/0.65 inference(avatar_component_clause,[],[f1658])). 2.31/0.65 fof(f1658,plain,( 2.31/0.65 spl32_89 <=> sP1(sK23(sK30))), 2.31/0.65 introduced(avatar_definition,[new_symbols(naming,[spl32_89])])). 2.31/0.65 fof(f5957,plain,( 2.31/0.65 g_false_only(sK23(sK30),sK29(sK23(sK30))) | (~spl32_1 | spl32_12 | spl32_13 | spl32_14 | ~spl32_16 | ~spl32_89)), 2.31/0.65 inference(resolution,[],[f5943,f5913])). 2.31/0.65 fof(f5913,plain,( 2.31/0.65 ~g_false_only(sK29(sK23(sK30)),sK23(sK30)) | ~spl32_89), 2.31/0.65 inference(resolution,[],[f1660,f135])). 2.31/0.65 fof(f135,plain,( 2.31/0.65 ( ! [X0] : (~sP1(X0) | ~g_false_only(sK29(X0),X0)) )), 2.31/0.65 inference(cnf_transformation,[],[f86])). 2.31/0.65 fof(f5943,plain,( 2.31/0.65 ( ! [X4] : (g_false_only(sK23(sK30),X4) | g_false_only(X4,sK23(sK30))) ) | (~spl32_1 | spl32_12 | spl32_13 | spl32_14 | ~spl32_16)), 2.31/0.65 inference(subsumption_resolution,[],[f5885,f280])). 2.31/0.65 fof(f280,plain,( 2.31/0.65 ~sP5(sK23(sK30)) | spl32_13), 2.31/0.65 inference(avatar_component_clause,[],[f279])). 2.31/0.65 fof(f279,plain,( 2.31/0.65 spl32_13 <=> sP5(sK23(sK30))), 2.31/0.65 introduced(avatar_definition,[new_symbols(naming,[spl32_13])])). 2.31/0.65 fof(f5885,plain,( 2.31/0.65 ( ! [X4] : (g_false_only(sK23(sK30),X4) | g_false_only(X4,sK23(sK30)) | sP5(sK23(sK30))) ) | (~spl32_1 | spl32_12 | spl32_14 | ~spl32_16)), 2.31/0.65 inference(subsumption_resolution,[],[f5884,f5801])). 2.31/0.65 fof(f5801,plain,( 2.31/0.65 ( ! [X1] : (~g_both(X1,sK23(sK30)) | g_false_only(sK23(sK30),X1) | g_false_only(X1,sK23(sK30))) ) | ~spl32_16), 2.31/0.65 inference(resolution,[],[f298,f110])). 2.31/0.65 fof(f110,plain,( 2.31/0.65 ( ! [X0,X1] : (~sP13(X0) | g_false_only(X1,X0) | g_false_only(X0,X1) | ~g_both(X1,X0)) )), 2.31/0.65 inference(cnf_transformation,[],[f48])). 2.31/0.65 fof(f48,plain,( 2.31/0.65 ! [X0] : (! [X1] : ((~g_both(X1,X0) & ~g_both(X0,X1)) | g_false_only(X1,X0) | g_false_only(X0,X1)) | ~sP13(X0))), 2.31/0.65 inference(rectify,[],[f47])). 2.31/0.65 fof(f47,plain,( 2.31/0.65 ! [X1] : (! [X8] : ((~g_both(X8,X1) & ~g_both(X1,X8)) | g_false_only(X8,X1) | g_false_only(X1,X8)) | ~sP13(X1))), 2.31/0.65 inference(nnf_transformation,[],[f22])). 2.31/0.65 fof(f22,plain,( 2.31/0.65 ! [X1] : (! [X8] : ((~g_both(X8,X1) & ~g_both(X1,X8)) | g_false_only(X8,X1) | g_false_only(X1,X8)) | ~sP13(X1))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])])). 2.31/0.65 fof(f298,plain,( 2.31/0.65 sP13(sK23(sK30)) | ~spl32_16), 2.31/0.65 inference(avatar_component_clause,[],[f296])). 2.31/0.65 fof(f296,plain,( 2.31/0.65 spl32_16 <=> sP13(sK23(sK30))), 2.31/0.65 introduced(avatar_definition,[new_symbols(naming,[spl32_16])])). 2.31/0.65 fof(f5884,plain,( 2.31/0.65 ( ! [X4] : (g_both(X4,sK23(sK30)) | g_false_only(sK23(sK30),X4) | g_false_only(X4,sK23(sK30)) | sP5(sK23(sK30))) ) | (~spl32_1 | spl32_12 | spl32_14 | ~spl32_16)), 2.31/0.65 inference(subsumption_resolution,[],[f5883,f5800])). 2.31/0.65 fof(f5800,plain,( 2.31/0.65 ( ! [X0] : (~g_both(sK23(sK30),X0) | g_false_only(sK23(sK30),X0) | g_false_only(X0,sK23(sK30))) ) | ~spl32_16), 2.31/0.65 inference(resolution,[],[f298,f109])). 2.31/0.65 fof(f109,plain,( 2.31/0.65 ( ! [X0,X1] : (~sP13(X0) | g_false_only(X1,X0) | g_false_only(X0,X1) | ~g_both(X0,X1)) )), 2.31/0.65 inference(cnf_transformation,[],[f48])). 2.31/0.65 fof(f5883,plain,( 2.31/0.65 ( ! [X4] : (g_both(sK23(sK30),X4) | g_both(X4,sK23(sK30)) | g_false_only(sK23(sK30),X4) | g_false_only(X4,sK23(sK30)) | sP5(sK23(sK30))) ) | (~spl32_1 | spl32_12 | spl32_14)), 2.31/0.65 inference(subsumption_resolution,[],[f5882,f276])). 2.31/0.65 fof(f276,plain,( 2.31/0.65 ~sP9(sK30) | spl32_12), 2.31/0.65 inference(avatar_component_clause,[],[f275])). 2.31/0.65 fof(f275,plain,( 2.31/0.65 spl32_12 <=> sP9(sK30)), 2.31/0.65 introduced(avatar_definition,[new_symbols(naming,[spl32_12])])). 2.31/0.65 fof(f5882,plain,( 2.31/0.65 ( ! [X4] : (g_both(sK23(sK30),X4) | g_both(X4,sK23(sK30)) | g_false_only(sK23(sK30),X4) | g_false_only(X4,sK23(sK30)) | sP5(sK23(sK30)) | sP9(sK30)) ) | (~spl32_1 | spl32_14)), 2.31/0.65 inference(subsumption_resolution,[],[f5358,f284])). 2.31/0.65 fof(f284,plain,( 2.31/0.65 ~sP6(sK23(sK30)) | spl32_14), 2.31/0.65 inference(avatar_component_clause,[],[f283])). 2.31/0.65 fof(f283,plain,( 2.31/0.65 spl32_14 <=> sP6(sK23(sK30))), 2.31/0.65 introduced(avatar_definition,[new_symbols(naming,[spl32_14])])). 2.31/0.65 fof(f5358,plain,( 2.31/0.65 ( ! [X4] : (g_both(sK23(sK30),X4) | g_both(X4,sK23(sK30)) | g_false_only(sK23(sK30),X4) | g_false_only(X4,sK23(sK30)) | sP6(sK23(sK30)) | sP5(sK23(sK30)) | sP9(sK30)) ) | ~spl32_1), 2.31/0.65 inference(resolution,[],[f3249,f1512])). 2.31/0.65 fof(f1512,plain,( 2.31/0.65 ( ! [X0] : (g_true_only(sK23(X0),X0) | sP6(sK23(X0)) | sP5(sK23(X0)) | sP9(X0)) ) | ~spl32_1), 2.31/0.65 inference(resolution,[],[f1508,f121])). 2.31/0.65 fof(f121,plain,( 2.31/0.65 ( ! [X0,X1] : (~sP7(X0,X1) | g_true_only(X0,X1)) )), 2.31/0.65 inference(cnf_transformation,[],[f66])). 2.31/0.65 fof(f66,plain,( 2.31/0.65 ! [X0,X1] : ((sP3(X0) & g_true_only(X0,X1)) | ~sP7(X0,X1))), 2.31/0.65 inference(rectify,[],[f65])). 2.31/0.65 fof(f65,plain,( 2.31/0.65 ! [X15,X14] : ((sP3(X15) & g_true_only(X15,X14)) | ~sP7(X15,X14))), 2.31/0.65 inference(nnf_transformation,[],[f16])). 2.31/0.65 fof(f16,plain,( 2.31/0.65 ! [X15,X14] : ((sP3(X15) & g_true_only(X15,X14)) | ~sP7(X15,X14))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])). 2.31/0.65 fof(f1508,plain,( 2.31/0.65 ( ! [X1] : (sP7(sK23(X1),X1) | sP9(X1) | sP6(sK23(X1)) | sP5(sK23(X1))) ) | ~spl32_1), 2.31/0.65 inference(resolution,[],[f1441,f120])). 2.31/0.65 fof(f120,plain,( 2.31/0.65 ( ! [X0,X1] : (~sP8(X0,X1) | sP5(X0)) )), 2.31/0.65 inference(cnf_transformation,[],[f64])). 2.31/0.65 fof(f64,plain,( 2.31/0.65 ! [X0,X1] : ((sP5(X0) & g_false_only(X0,X1)) | ~sP8(X0,X1))), 2.31/0.65 inference(rectify,[],[f63])). 2.31/0.65 fof(f63,plain,( 2.31/0.65 ! [X15,X14] : ((sP5(X15) & g_false_only(X15,X14)) | ~sP8(X15,X14))), 2.31/0.65 inference(nnf_transformation,[],[f17])). 2.31/0.65 fof(f17,plain,( 2.31/0.65 ! [X15,X14] : ((sP5(X15) & g_false_only(X15,X14)) | ~sP8(X15,X14))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])). 2.31/0.65 fof(f1441,plain,( 2.31/0.65 ( ! [X0] : (sP8(sK23(X0),X0) | sP7(sK23(X0),X0) | sP9(X0) | sP6(sK23(X0))) ) | ~spl32_1), 2.31/0.65 inference(subsumption_resolution,[],[f111,f161])). 2.31/0.65 fof(f161,plain,( 2.31/0.65 sP12 | ~spl32_1), 2.31/0.65 inference(avatar_component_clause,[],[f159])). 2.31/0.65 fof(f159,plain,( 2.31/0.65 spl32_1 <=> sP12), 2.31/0.65 introduced(avatar_definition,[new_symbols(naming,[spl32_1])])). 2.31/0.65 fof(f111,plain,( 2.31/0.65 ( ! [X0] : (~sP12 | sP8(sK23(X0),X0) | sP7(sK23(X0),X0) | sP9(X0) | sP6(sK23(X0))) )), 2.31/0.65 inference(cnf_transformation,[],[f52])). 2.31/0.65 fof(f52,plain,( 2.31/0.65 ! [X0] : (((g_both(sK23(X0),X0) & sP6(sK23(X0))) | sP8(sK23(X0),X0) | sP7(sK23(X0),X0)) | sP9(X0)) | ~sP12), 2.31/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f50,f51])). 2.31/0.65 fof(f51,plain,( 2.31/0.65 ! [X0] : (? [X1] : ((g_both(X1,X0) & sP6(X1)) | sP8(X1,X0) | sP7(X1,X0)) => ((g_both(sK23(X0),X0) & sP6(sK23(X0))) | sP8(sK23(X0),X0) | sP7(sK23(X0),X0)))), 2.31/0.65 introduced(choice_axiom,[])). 2.31/0.65 fof(f50,plain,( 2.31/0.65 ! [X0] : (? [X1] : ((g_both(X1,X0) & sP6(X1)) | sP8(X1,X0) | sP7(X1,X0)) | sP9(X0)) | ~sP12), 2.31/0.65 inference(rectify,[],[f49])). 2.31/0.65 fof(f49,plain,( 2.31/0.65 ! [X14] : (? [X15] : ((g_both(X15,X14) & sP6(X15)) | sP8(X15,X14) | sP7(X15,X14)) | sP9(X14)) | ~sP12), 2.31/0.65 inference(nnf_transformation,[],[f21])). 2.31/0.65 fof(f21,plain,( 2.31/0.65 ! [X14] : (? [X15] : ((g_both(X15,X14) & sP6(X15)) | sP8(X15,X14) | sP7(X15,X14)) | sP9(X14)) | ~sP12), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])])). 2.31/0.65 fof(f3249,plain,( 2.31/0.65 ( ! [X8,X9] : (~g_true_only(X9,sK30) | g_both(X9,X8) | g_both(X8,X9) | g_false_only(X9,X8) | g_false_only(X8,X9)) )), 2.31/0.65 inference(resolution,[],[f1808,f150])). 2.31/0.65 fof(f150,plain,( 2.31/0.65 ( ! [X0,X1] : (g_true(X0,X1) | ~g_true_only(X0,X1)) )), 2.31/0.65 inference(cnf_transformation,[],[f94])). 2.31/0.65 fof(f94,plain,( 2.31/0.65 ! [X0,X1] : (((g_true(X0,X1) & ~g_false(X0,X1)) | ~g_true_only(X0,X1)) & (g_true_only(X0,X1) | ~g_true(X0,X1) | g_false(X0,X1)))), 2.31/0.65 inference(flattening,[],[f93])). 2.31/0.65 fof(f93,plain,( 2.31/0.65 ! [X0,X1] : (((g_true(X0,X1) & ~g_false(X0,X1)) | ~g_true_only(X0,X1)) & (g_true_only(X0,X1) | (~g_true(X0,X1) | g_false(X0,X1))))), 2.31/0.65 inference(nnf_transformation,[],[f2])). 2.31/0.65 fof(f2,axiom,( 2.31/0.65 ! [X0,X1] : ((g_true(X0,X1) & ~g_false(X0,X1)) <=> g_true_only(X0,X1))), 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g)). 2.31/0.65 fof(f1808,plain,( 2.31/0.65 ( ! [X4,X5] : (~g_true(X4,sK30) | g_false_only(X5,X4) | g_both(X4,X5) | g_both(X5,X4) | g_false_only(X4,X5)) )), 2.31/0.65 inference(resolution,[],[f255,f152])). 2.31/0.65 fof(f152,plain,( 2.31/0.65 ( ! [X0,X1] : (~g_false_only(X0,X1) | ~g_true(X0,X1)) )), 2.31/0.65 inference(cnf_transformation,[],[f96])). 2.31/0.65 fof(f96,plain,( 2.31/0.65 ! [X0,X1] : (((g_false(X0,X1) & ~g_true(X0,X1)) | ~g_false_only(X0,X1)) & (g_false_only(X0,X1) | ~g_false(X0,X1) | g_true(X0,X1)))), 2.31/0.65 inference(flattening,[],[f95])). 2.31/0.65 fof(f95,plain,( 2.31/0.65 ! [X0,X1] : (((g_false(X0,X1) & ~g_true(X0,X1)) | ~g_false_only(X0,X1)) & (g_false_only(X0,X1) | (~g_false(X0,X1) | g_true(X0,X1))))), 2.31/0.65 inference(nnf_transformation,[],[f5])). 2.31/0.65 fof(f5,axiom,( 2.31/0.65 ! [X0,X1] : ((g_false(X0,X1) & ~g_true(X0,X1)) <=> g_false_only(X0,X1))), 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g)). 2.31/0.65 fof(f255,plain,( 2.31/0.65 ( ! [X0,X1] : (g_false_only(X0,sK30) | g_false_only(X0,X1) | g_false_only(X1,X0) | g_both(X0,X1) | g_both(X1,X0)) )), 2.31/0.65 inference(resolution,[],[f254,f147])). 2.31/0.65 fof(f147,plain,( 2.31/0.65 ( ! [X0,X1] : (g_true_only(X0,X1) | g_false_only(X0,X1) | g_both(X0,X1)) )), 2.31/0.65 inference(cnf_transformation,[],[f1])). 2.31/0.65 fof(f1,axiom,( 2.31/0.65 ! [X0,X1] : (g_true_only(X0,X1) | g_false_only(X0,X1) | g_both(X0,X1))), 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g)). 2.31/0.65 fof(f254,plain,( 2.31/0.65 ( ! [X0,X1] : (~g_true_only(X0,X1) | g_false_only(X1,sK30) | g_false_only(X1,X0) | g_both(X1,X0)) )), 2.31/0.65 inference(resolution,[],[f253,f147])). 2.31/0.65 fof(f253,plain,( 2.31/0.65 ( ! [X0,X1] : (~g_true_only(X1,X0) | ~g_true_only(X0,X1) | g_false_only(X1,sK30)) )), 2.31/0.65 inference(subsumption_resolution,[],[f198,f146])). 2.31/0.65 fof(f146,plain,( 2.31/0.65 ( ! [X2,X1] : (~g_both(X1,sK30) | ~g_true_only(X1,X2) | ~g_true_only(X2,X1)) )), 2.31/0.65 inference(cnf_transformation,[],[f92])). 2.31/0.65 fof(f92,plain,( 2.31/0.65 ! [X1] : ((~g_both(X1,sK30) | (! [X2] : (~g_true_only(X1,X2) | ~g_true_only(X2,X1)) & sP18(X1))) & ((sP17(X1) & sP16(X1)) | ~g_false_only(X1,sK30)) & ((sP14(X1) & ! [X3] : (~g_true_only(X1,X3) | ~g_true_only(X3,X1))) | ~g_true_only(X1,sK30))) & (! [X5] : ((g_true_only(X5,sK31) & ! [X6] : (g_false_only(X5,X6) | g_false_only(X6,X5))) | sP11(sK31,X5)) | sP12)), 2.31/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f89,f91,f90])). 2.31/0.65 fof(f90,plain,( 2.31/0.65 ? [X0] : ! [X1] : ((~g_both(X1,X0) | (! [X2] : (~g_true_only(X1,X2) | ~g_true_only(X2,X1)) & sP18(X1))) & ((sP17(X1) & sP16(X1)) | ~g_false_only(X1,X0)) & ((sP14(X1) & ! [X3] : (~g_true_only(X1,X3) | ~g_true_only(X3,X1))) | ~g_true_only(X1,X0))) => ! [X1] : ((~g_both(X1,sK30) | (! [X2] : (~g_true_only(X1,X2) | ~g_true_only(X2,X1)) & sP18(X1))) & ((sP17(X1) & sP16(X1)) | ~g_false_only(X1,sK30)) & ((sP14(X1) & ! [X3] : (~g_true_only(X1,X3) | ~g_true_only(X3,X1))) | ~g_true_only(X1,sK30)))), 2.31/0.65 introduced(choice_axiom,[])). 2.31/0.65 fof(f91,plain,( 2.31/0.65 ? [X4] : ! [X5] : ((g_true_only(X5,X4) & ! [X6] : (g_false_only(X5,X6) | g_false_only(X6,X5))) | sP11(X4,X5)) => ! [X5] : ((g_true_only(X5,sK31) & ! [X6] : (g_false_only(X5,X6) | g_false_only(X6,X5))) | sP11(sK31,X5))), 2.31/0.65 introduced(choice_axiom,[])). 2.31/0.65 fof(f89,plain,( 2.31/0.65 ? [X0] : ! [X1] : ((~g_both(X1,X0) | (! [X2] : (~g_true_only(X1,X2) | ~g_true_only(X2,X1)) & sP18(X1))) & ((sP17(X1) & sP16(X1)) | ~g_false_only(X1,X0)) & ((sP14(X1) & ! [X3] : (~g_true_only(X1,X3) | ~g_true_only(X3,X1))) | ~g_true_only(X1,X0))) & (? [X4] : ! [X5] : ((g_true_only(X5,X4) & ! [X6] : (g_false_only(X5,X6) | g_false_only(X6,X5))) | sP11(X4,X5)) | sP12)), 2.31/0.65 inference(rectify,[],[f28])). 2.31/0.65 fof(f28,plain,( 2.31/0.65 ? [X0] : ! [X1] : ((~g_both(X1,X0) | (! [X2] : (~g_true_only(X1,X2) | ~g_true_only(X2,X1)) & sP18(X1))) & ((sP17(X1) & sP16(X1)) | ~g_false_only(X1,X0)) & ((sP14(X1) & ! [X9] : (~g_true_only(X1,X9) | ~g_true_only(X9,X1))) | ~g_true_only(X1,X0))) & (? [X10] : ! [X11] : ((g_true_only(X11,X10) & ! [X12] : (g_false_only(X11,X12) | g_false_only(X12,X11))) | sP11(X10,X11)) | sP12)), 2.31/0.65 inference(definition_folding,[],[f8,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9])). 2.31/0.65 fof(f9,plain,( 2.31/0.65 ! [X24] : (! [X26] : (g_false_only(X26,X24) | g_false_only(X24,X26) | (~g_both(X26,X24) & ~g_both(X24,X26))) | ~sP0(X24))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 2.31/0.65 fof(f11,plain,( 2.31/0.65 ! [X15] : (? [X23] : (g_true_only(X15,X23) & g_true_only(X23,X15)) | ~sP2(X15))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 2.31/0.65 fof(f12,plain,( 2.31/0.65 ! [X15] : ((! [X21] : (~g_true_only(X15,X21) | ~g_true_only(X21,X15)) & sP1(X15)) | sP2(X15) | ~sP3(X15))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])). 2.31/0.65 fof(f13,plain,( 2.31/0.65 ! [X15] : (? [X18] : ((g_both(X18,X15) | g_both(X15,X18)) & ~g_false_only(X18,X15) & ~g_false_only(X15,X18)) | ~sP4(X15))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])). 2.31/0.65 fof(f14,plain,( 2.31/0.65 ! [X15] : ((sP4(X15) & ! [X19] : (~g_true_only(X15,X19) | ~g_true_only(X19,X15))) | ! [X20] : (g_false_only(X20,X15) | g_false_only(X15,X20)) | ~sP5(X15))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])). 2.31/0.65 fof(f15,plain,( 2.31/0.65 ! [X15] : (? [X16] : (g_true_only(X15,X16) & g_true_only(X16,X15)) | ! [X17] : (g_false_only(X17,X15) | g_false_only(X15,X17)) | ~sP6(X15))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])). 2.31/0.65 fof(f18,plain,( 2.31/0.65 ! [X14] : (! [X24] : (? [X25] : (g_true_only(X24,X25) & g_true_only(X25,X24)) | sP0(X24) | ~g_both(X24,X14)) | ~sP9(X14))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])])). 2.31/0.65 fof(f19,plain,( 2.31/0.65 ! [X11] : (? [X13] : (g_true_only(X13,X11) & g_true_only(X11,X13)) | ~sP10(X11))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])])). 2.31/0.65 fof(f20,plain,( 2.31/0.65 ! [X10,X11] : ((g_false_only(X11,X10) & sP10(X11)) | ~sP11(X10,X11))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])])). 2.31/0.65 fof(f23,plain,( 2.31/0.65 ! [X1] : (? [X7] : (g_true_only(X7,X1) & g_true_only(X1,X7)) | sP13(X1) | ~sP14(X1))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])])). 2.31/0.65 fof(f24,plain,( 2.31/0.65 ! [X1] : (! [X5] : (g_false_only(X1,X5) | g_false_only(X5,X1) | (~g_both(X1,X5) & ~g_both(X5,X1))) | ~sP15(X1))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])])). 2.31/0.65 fof(f25,plain,( 2.31/0.65 ! [X1] : (? [X6] : (~g_false_only(X1,X6) & ~g_false_only(X6,X1)) | ~sP16(X1))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])])). 2.31/0.65 fof(f26,plain,( 2.31/0.65 ! [X1] : (? [X4] : (g_true_only(X1,X4) & g_true_only(X4,X1)) | sP15(X1) | ~sP17(X1))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])])). 2.31/0.65 fof(f27,plain,( 2.31/0.65 ! [X1] : (? [X3] : (~g_false_only(X1,X3) & ~g_false_only(X3,X1)) | ~sP18(X1))), 2.31/0.65 introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])])). 2.31/0.65 fof(f8,plain,( 2.31/0.65 ? [X0] : ! [X1] : ((~g_both(X1,X0) | (! [X2] : (~g_true_only(X1,X2) | ~g_true_only(X2,X1)) & ? [X3] : (~g_false_only(X1,X3) & ~g_false_only(X3,X1)))) & (((? [X4] : (g_true_only(X1,X4) & g_true_only(X4,X1)) | ! [X5] : (g_false_only(X1,X5) | g_false_only(X5,X1) | (~g_both(X1,X5) & ~g_both(X5,X1)))) & ? [X6] : (~g_false_only(X1,X6) & ~g_false_only(X6,X1))) | ~g_false_only(X1,X0)) & (((? [X7] : (g_true_only(X7,X1) & g_true_only(X1,X7)) | ! [X8] : ((~g_both(X8,X1) & ~g_both(X1,X8)) | g_false_only(X8,X1) | g_false_only(X1,X8))) & ! [X9] : (~g_true_only(X1,X9) | ~g_true_only(X9,X1))) | ~g_true_only(X1,X0))) & (? [X10] : ! [X11] : ((g_true_only(X11,X10) & ! [X12] : (g_false_only(X11,X12) | g_false_only(X12,X11))) | (g_false_only(X11,X10) & ? [X13] : (g_true_only(X13,X11) & g_true_only(X11,X13)))) | ! [X14] : (? [X15] : ((g_both(X15,X14) & (? [X16] : (g_true_only(X15,X16) & g_true_only(X16,X15)) | ! [X17] : (g_false_only(X17,X15) | g_false_only(X15,X17)))) | (((? [X18] : ((g_both(X18,X15) | g_both(X15,X18)) & ~g_false_only(X18,X15) & ~g_false_only(X15,X18)) & ! [X19] : (~g_true_only(X15,X19) | ~g_true_only(X19,X15))) | ! [X20] : (g_false_only(X20,X15) | g_false_only(X15,X20))) & g_false_only(X15,X14)) | (((! [X21] : (~g_true_only(X15,X21) | ~g_true_only(X21,X15)) & ? [X22] : (~g_false_only(X15,X22) & ~g_false_only(X22,X15) & (g_both(X15,X22) | g_both(X22,X15)))) | ? [X23] : (g_true_only(X15,X23) & g_true_only(X23,X15))) & g_true_only(X15,X14))) | ! [X24] : (? [X25] : (g_true_only(X24,X25) & g_true_only(X25,X24)) | ! [X26] : (g_false_only(X26,X24) | g_false_only(X24,X26) | (~g_both(X26,X24) & ~g_both(X24,X26))) | ~g_both(X24,X14))))), 2.31/0.65 inference(ennf_transformation,[],[f7])). 2.31/0.67 fof(f7,plain,( 2.31/0.67 ~(! [X0] : ? [X1] : ((g_both(X1,X0) & (? [X2] : (g_true_only(X1,X2) & g_true_only(X2,X1)) | ! [X3] : (g_false_only(X1,X3) | g_false_only(X3,X1)))) | (((~? [X4] : (g_true_only(X1,X4) & g_true_only(X4,X1)) & ? [X5] : (~g_false_only(X1,X5) & ~g_false_only(X5,X1) & (g_both(X1,X5) | g_both(X5,X1)))) | ! [X6] : (g_false_only(X1,X6) | g_false_only(X6,X1))) & g_false_only(X1,X0)) | (((~? [X7] : (g_true_only(X7,X1) & g_true_only(X1,X7)) & ? [X8] : ((g_both(X8,X1) | g_both(X1,X8)) & ~g_false_only(X8,X1) & ~g_false_only(X1,X8))) | ? [X9] : (g_true_only(X1,X9) & g_true_only(X9,X1))) & g_true_only(X1,X0))) | (~? [X10] : ! [X11] : ((g_true_only(X11,X10) & ! [X12] : (g_false_only(X11,X12) | g_false_only(X12,X11))) | (g_false_only(X11,X10) & ? [X13] : (g_true_only(X13,X11) & g_true_only(X11,X13)))) & ? [X14] : (~? [X15] : ((g_both(X15,X14) & (? [X16] : (g_true_only(X15,X16) & g_true_only(X16,X15)) | ! [X17] : (g_false_only(X17,X15) | g_false_only(X15,X17)))) | (((? [X18] : ((g_both(X18,X15) | g_both(X15,X18)) & ~g_false_only(X18,X15) & ~g_false_only(X15,X18)) & ~? [X19] : (g_true_only(X15,X19) & g_true_only(X19,X15))) | ! [X20] : (g_false_only(X20,X15) | g_false_only(X15,X20))) & g_false_only(X15,X14)) | (((~? [X21] : (g_true_only(X15,X21) & g_true_only(X21,X15)) & ? [X22] : (~g_false_only(X15,X22) & ~g_false_only(X22,X15) & (g_both(X15,X22) | g_both(X22,X15)))) | ? [X23] : (g_true_only(X15,X23) & g_true_only(X23,X15))) & g_true_only(X15,X14))) & ? [X24] : (~? [X25] : (g_true_only(X24,X25) & g_true_only(X25,X24)) & ? [X26] : (~g_false_only(X26,X24) & ~g_false_only(X24,X26) & (g_both(X26,X24) | g_both(X24,X26))) & g_both(X24,X14)))))), 2.31/0.67 inference(rectify,[],[f4])). 2.31/0.67 fof(f4,negated_conjecture,( 2.31/0.67 ~(! [X2] : ? [X3] : ((g_both(X3,X2) & (? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) | ! [X4] : (g_false_only(X3,X4) | g_false_only(X4,X3)))) | (((~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) & ? [X4] : (~g_false_only(X3,X4) & ~g_false_only(X4,X3) & (g_both(X3,X4) | g_both(X4,X3)))) | ! [X4] : (g_false_only(X3,X4) | g_false_only(X4,X3))) & g_false_only(X3,X2)) | (((~? [X4] : (g_true_only(X4,X3) & g_true_only(X3,X4)) & ? [X4] : ((g_both(X4,X3) | g_both(X3,X4)) & ~g_false_only(X4,X3) & ~g_false_only(X3,X4))) | ? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3))) & g_true_only(X3,X2))) | (~? [X2] : ! [X3] : ((g_true_only(X3,X2) & ! [X4] : (g_false_only(X3,X4) | g_false_only(X4,X3))) | (g_false_only(X3,X2) & ? [X4] : (g_true_only(X4,X3) & g_true_only(X3,X4)))) & ? [X2] : (~? [X3] : ((g_both(X3,X2) & (? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) | ! [X4] : (g_false_only(X4,X3) | g_false_only(X3,X4)))) | (((? [X4] : ((g_both(X4,X3) | g_both(X3,X4)) & ~g_false_only(X4,X3) & ~g_false_only(X3,X4)) & ~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3))) | ! [X4] : (g_false_only(X4,X3) | g_false_only(X3,X4))) & g_false_only(X3,X2)) | (((~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) & ? [X4] : (~g_false_only(X3,X4) & ~g_false_only(X4,X3) & (g_both(X3,X4) | g_both(X4,X3)))) | ? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3))) & g_true_only(X3,X2))) & ? [X3] : (~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) & ? [X4] : (~g_false_only(X4,X3) & ~g_false_only(X3,X4) & (g_both(X4,X3) | g_both(X3,X4))) & g_both(X3,X2)))))), 2.31/0.67 inference(negated_conjecture,[],[f3])). 2.31/0.67 fof(f3,conjecture,( 2.31/0.67 ! [X2] : ? [X3] : ((g_both(X3,X2) & (? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) | ! [X4] : (g_false_only(X3,X4) | g_false_only(X4,X3)))) | (((~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) & ? [X4] : (~g_false_only(X3,X4) & ~g_false_only(X4,X3) & (g_both(X3,X4) | g_both(X4,X3)))) | ! [X4] : (g_false_only(X3,X4) | g_false_only(X4,X3))) & g_false_only(X3,X2)) | (((~? [X4] : (g_true_only(X4,X3) & g_true_only(X3,X4)) & ? [X4] : ((g_both(X4,X3) | g_both(X3,X4)) & ~g_false_only(X4,X3) & ~g_false_only(X3,X4))) | ? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3))) & g_true_only(X3,X2))) | (~? [X2] : ! [X3] : ((g_true_only(X3,X2) & ! [X4] : (g_false_only(X3,X4) | g_false_only(X4,X3))) | (g_false_only(X3,X2) & ? [X4] : (g_true_only(X4,X3) & g_true_only(X3,X4)))) & ? [X2] : (~? [X3] : ((g_both(X3,X2) & (? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) | ! [X4] : (g_false_only(X4,X3) | g_false_only(X3,X4)))) | (((? [X4] : ((g_both(X4,X3) | g_both(X3,X4)) & ~g_false_only(X4,X3) & ~g_false_only(X3,X4)) & ~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3))) | ! [X4] : (g_false_only(X4,X3) | g_false_only(X3,X4))) & g_false_only(X3,X2)) | (((~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) & ? [X4] : (~g_false_only(X3,X4) & ~g_false_only(X4,X3) & (g_both(X3,X4) | g_both(X4,X3)))) | ? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3))) & g_true_only(X3,X2))) & ? [X3] : (~? [X4] : (g_true_only(X3,X4) & g_true_only(X4,X3)) & ? [X4] : (~g_false_only(X4,X3) & ~g_false_only(X3,X4) & (g_both(X4,X3) | g_both(X3,X4))) & g_both(X3,X2))))), 2.31/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc3)). 2.31/0.67 fof(f198,plain,( 2.31/0.67 ( ! [X0,X1] : (~g_true_only(X0,X1) | ~g_true_only(X1,X0) | g_false_only(X1,sK30) | g_both(X1,sK30)) )), 2.31/0.67 inference(resolution,[],[f141,f147])). 2.31/0.67 fof(f141,plain,( 2.31/0.67 ( ! [X3,X1] : (~g_true_only(X1,sK30) | ~g_true_only(X3,X1) | ~g_true_only(X1,X3)) )), 2.31/0.67 inference(cnf_transformation,[],[f92])). 2.31/0.67 fof(f5880,plain,( 2.31/0.67 ~spl32_16 | ~spl32_45 | ~spl32_70), 2.31/0.67 inference(avatar_contradiction_clause,[],[f5879])). 2.31/0.67 fof(f5879,plain,( 2.31/0.67 $false | (~spl32_16 | ~spl32_45 | ~spl32_70)), 2.31/0.67 inference(subsumption_resolution,[],[f5878,f4420])). 2.31/0.67 fof(f4420,plain,( 2.31/0.67 ~g_false_only(sK27(sK23(sK30)),sK23(sK30)) | ~spl32_45), 2.31/0.67 inference(resolution,[],[f685,f128])). 2.31/0.67 fof(f128,plain,( 2.31/0.67 ( ! [X0] : (~sP4(X0) | ~g_false_only(sK27(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f76])). 2.31/0.67 fof(f76,plain,( 2.31/0.67 ! [X0] : (((g_both(sK27(X0),X0) | g_both(X0,sK27(X0))) & ~g_false_only(sK27(X0),X0) & ~g_false_only(X0,sK27(X0))) | ~sP4(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f74,f75])). 2.31/0.67 fof(f75,plain,( 2.31/0.67 ! [X0] : (? [X1] : ((g_both(X1,X0) | g_both(X0,X1)) & ~g_false_only(X1,X0) & ~g_false_only(X0,X1)) => ((g_both(sK27(X0),X0) | g_both(X0,sK27(X0))) & ~g_false_only(sK27(X0),X0) & ~g_false_only(X0,sK27(X0))))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f74,plain,( 2.31/0.67 ! [X0] : (? [X1] : ((g_both(X1,X0) | g_both(X0,X1)) & ~g_false_only(X1,X0) & ~g_false_only(X0,X1)) | ~sP4(X0))), 2.31/0.67 inference(rectify,[],[f73])). 2.31/0.67 fof(f73,plain,( 2.31/0.67 ! [X15] : (? [X18] : ((g_both(X18,X15) | g_both(X15,X18)) & ~g_false_only(X18,X15) & ~g_false_only(X15,X18)) | ~sP4(X15))), 2.31/0.67 inference(nnf_transformation,[],[f13])). 2.31/0.67 fof(f685,plain,( 2.31/0.67 sP4(sK23(sK30)) | ~spl32_45), 2.31/0.67 inference(avatar_component_clause,[],[f683])). 2.31/0.67 fof(f683,plain,( 2.31/0.67 spl32_45 <=> sP4(sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_45])])). 2.31/0.67 fof(f5878,plain,( 2.31/0.67 g_false_only(sK27(sK23(sK30)),sK23(sK30)) | (~spl32_16 | ~spl32_45 | ~spl32_70)), 2.31/0.67 inference(subsumption_resolution,[],[f5873,f4419])). 2.31/0.67 fof(f4419,plain,( 2.31/0.67 ~g_false_only(sK23(sK30),sK27(sK23(sK30))) | ~spl32_45), 2.31/0.67 inference(resolution,[],[f685,f127])). 2.31/0.67 fof(f127,plain,( 2.31/0.67 ( ! [X0] : (~sP4(X0) | ~g_false_only(X0,sK27(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f76])). 2.31/0.67 fof(f5873,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK27(sK23(sK30))) | g_false_only(sK27(sK23(sK30)),sK23(sK30)) | (~spl32_16 | ~spl32_70)), 2.31/0.67 inference(resolution,[],[f1130,f5800])). 2.31/0.67 fof(f1130,plain,( 2.31/0.67 g_both(sK23(sK30),sK27(sK23(sK30))) | ~spl32_70), 2.31/0.67 inference(avatar_component_clause,[],[f1128])). 2.31/0.67 fof(f1128,plain,( 2.31/0.67 spl32_70 <=> g_both(sK23(sK30),sK27(sK23(sK30)))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_70])])). 2.31/0.67 fof(f5868,plain,( 2.31/0.67 ~spl32_16 | ~spl32_45 | ~spl32_69), 2.31/0.67 inference(avatar_contradiction_clause,[],[f5867])). 2.31/0.67 fof(f5867,plain,( 2.31/0.67 $false | (~spl32_16 | ~spl32_45 | ~spl32_69)), 2.31/0.67 inference(subsumption_resolution,[],[f5866,f4420])). 2.31/0.67 fof(f5866,plain,( 2.31/0.67 g_false_only(sK27(sK23(sK30)),sK23(sK30)) | (~spl32_16 | ~spl32_45 | ~spl32_69)), 2.31/0.67 inference(subsumption_resolution,[],[f5865,f4419])). 2.31/0.67 fof(f5865,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK27(sK23(sK30))) | g_false_only(sK27(sK23(sK30)),sK23(sK30)) | (~spl32_16 | ~spl32_69)), 2.31/0.67 inference(resolution,[],[f5801,f1126])). 2.31/0.67 fof(f1126,plain,( 2.31/0.67 g_both(sK27(sK23(sK30)),sK23(sK30)) | ~spl32_69), 2.31/0.67 inference(avatar_component_clause,[],[f1124])). 2.31/0.67 fof(f1124,plain,( 2.31/0.67 spl32_69 <=> g_both(sK27(sK23(sK30)),sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_69])])). 2.31/0.67 fof(f5787,plain,( 2.31/0.67 ~spl32_88 | ~spl32_93 | ~spl32_101), 2.31/0.67 inference(avatar_contradiction_clause,[],[f5786])). 2.31/0.67 fof(f5786,plain,( 2.31/0.67 $false | (~spl32_88 | ~spl32_93 | ~spl32_101)), 2.31/0.67 inference(subsumption_resolution,[],[f5782,f1772])). 2.31/0.67 fof(f1772,plain,( 2.31/0.67 g_true_only(sK26(sK23(sK30)),sK23(sK30)) | ~spl32_93), 2.31/0.67 inference(avatar_component_clause,[],[f1770])). 2.31/0.67 fof(f1770,plain,( 2.31/0.67 spl32_93 <=> g_true_only(sK26(sK23(sK30)),sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_93])])). 2.31/0.67 fof(f5782,plain,( 2.31/0.67 ~g_true_only(sK26(sK23(sK30)),sK23(sK30)) | (~spl32_88 | ~spl32_101)), 2.31/0.67 inference(resolution,[],[f1653,f2282])). 2.31/0.67 fof(f2282,plain,( 2.31/0.67 g_true_only(sK23(sK30),sK26(sK23(sK30))) | ~spl32_101), 2.31/0.67 inference(avatar_component_clause,[],[f2281])). 2.31/0.67 fof(f2281,plain,( 2.31/0.67 spl32_101 <=> g_true_only(sK23(sK30),sK26(sK23(sK30)))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_101])])). 2.31/0.67 fof(f1653,plain,( 2.31/0.67 ( ! [X2] : (~g_true_only(sK23(sK30),X2) | ~g_true_only(X2,sK23(sK30))) ) | ~spl32_88), 2.31/0.67 inference(avatar_component_clause,[],[f1652])). 2.31/0.67 fof(f1652,plain,( 2.31/0.67 spl32_88 <=> ! [X2] : (~g_true_only(sK23(sK30),X2) | ~g_true_only(X2,sK23(sK30)))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_88])])). 2.31/0.67 fof(f5785,plain,( 2.31/0.67 ~spl32_15 | ~spl32_88 | ~spl32_158), 2.31/0.67 inference(avatar_contradiction_clause,[],[f5784])). 2.31/0.67 fof(f5784,plain,( 2.31/0.67 $false | (~spl32_15 | ~spl32_88 | ~spl32_158)), 2.31/0.67 inference(subsumption_resolution,[],[f5781,f4464])). 2.31/0.67 fof(f4464,plain,( 2.31/0.67 g_true_only(sK22(sK23(sK30)),sK23(sK30)) | ~spl32_158), 2.31/0.67 inference(avatar_component_clause,[],[f4462])). 2.31/0.67 fof(f4462,plain,( 2.31/0.67 spl32_158 <=> g_true_only(sK22(sK23(sK30)),sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_158])])). 2.31/0.67 fof(f5781,plain,( 2.31/0.67 ~g_true_only(sK22(sK23(sK30)),sK23(sK30)) | (~spl32_15 | ~spl32_88)), 2.31/0.67 inference(resolution,[],[f1653,f294])). 2.31/0.67 fof(f294,plain,( 2.31/0.67 g_true_only(sK23(sK30),sK22(sK23(sK30))) | ~spl32_15), 2.31/0.67 inference(avatar_component_clause,[],[f292])). 2.31/0.67 fof(f292,plain,( 2.31/0.67 spl32_15 <=> g_true_only(sK23(sK30),sK22(sK23(sK30)))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_15])])). 2.31/0.67 fof(f5753,plain,( 2.31/0.67 spl32_46 | spl32_88 | ~spl32_13), 2.31/0.67 inference(avatar_split_clause,[],[f4448,f279,f1652,f687])). 2.31/0.67 fof(f687,plain,( 2.31/0.67 spl32_46 <=> ! [X2] : (g_false_only(X2,sK23(sK30)) | g_false_only(sK23(sK30),X2))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_46])])). 2.31/0.67 fof(f4448,plain,( 2.31/0.67 ( ! [X0,X1] : (~g_true_only(X0,sK23(sK30)) | g_false_only(X1,sK23(sK30)) | g_false_only(sK23(sK30),X1) | ~g_true_only(sK23(sK30),X0)) ) | ~spl32_13), 2.31/0.67 inference(resolution,[],[f281,f125])). 2.31/0.67 fof(f125,plain,( 2.31/0.67 ( ! [X2,X0,X1] : (~sP5(X0) | ~g_true_only(X1,X0) | g_false_only(X2,X0) | g_false_only(X0,X2) | ~g_true_only(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f72])). 2.31/0.67 fof(f72,plain,( 2.31/0.67 ! [X0] : ((sP4(X0) & ! [X1] : (~g_true_only(X0,X1) | ~g_true_only(X1,X0))) | ! [X2] : (g_false_only(X2,X0) | g_false_only(X0,X2)) | ~sP5(X0))), 2.31/0.67 inference(rectify,[],[f71])). 2.31/0.67 fof(f71,plain,( 2.31/0.67 ! [X15] : ((sP4(X15) & ! [X19] : (~g_true_only(X15,X19) | ~g_true_only(X19,X15))) | ! [X20] : (g_false_only(X20,X15) | g_false_only(X15,X20)) | ~sP5(X15))), 2.31/0.67 inference(nnf_transformation,[],[f14])). 2.31/0.67 fof(f281,plain,( 2.31/0.67 sP5(sK23(sK30)) | ~spl32_13), 2.31/0.67 inference(avatar_component_clause,[],[f279])). 2.31/0.67 fof(f5135,plain,( 2.31/0.67 spl32_101 | spl32_46 | ~spl32_14), 2.31/0.67 inference(avatar_split_clause,[],[f4244,f283,f687,f2281])). 2.31/0.67 fof(f4244,plain,( 2.31/0.67 ( ! [X1] : (g_false_only(X1,sK23(sK30)) | g_false_only(sK23(sK30),X1) | g_true_only(sK23(sK30),sK26(sK23(sK30)))) ) | ~spl32_14), 2.31/0.67 inference(resolution,[],[f285,f124])). 2.31/0.67 fof(f124,plain,( 2.31/0.67 ( ! [X2,X0] : (~sP6(X0) | g_false_only(X2,X0) | g_false_only(X0,X2) | g_true_only(X0,sK26(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f70])). 2.31/0.67 fof(f70,plain,( 2.31/0.67 ! [X0] : ((g_true_only(X0,sK26(X0)) & g_true_only(sK26(X0),X0)) | ! [X2] : (g_false_only(X2,X0) | g_false_only(X0,X2)) | ~sP6(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f68,f69])). 2.31/0.67 fof(f69,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X0,X1) & g_true_only(X1,X0)) => (g_true_only(X0,sK26(X0)) & g_true_only(sK26(X0),X0)))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f68,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X0,X1) & g_true_only(X1,X0)) | ! [X2] : (g_false_only(X2,X0) | g_false_only(X0,X2)) | ~sP6(X0))), 2.31/0.67 inference(rectify,[],[f67])). 2.31/0.67 fof(f67,plain,( 2.31/0.67 ! [X15] : (? [X16] : (g_true_only(X15,X16) & g_true_only(X16,X15)) | ! [X17] : (g_false_only(X17,X15) | g_false_only(X15,X17)) | ~sP6(X15))), 2.31/0.67 inference(nnf_transformation,[],[f15])). 2.31/0.67 fof(f285,plain,( 2.31/0.67 sP6(sK23(sK30)) | ~spl32_14), 2.31/0.67 inference(avatar_component_clause,[],[f283])). 2.31/0.67 fof(f4465,plain,( 2.31/0.67 spl32_158 | spl32_16 | ~spl32_11), 2.31/0.67 inference(avatar_split_clause,[],[f4160,f271,f296,f4462])). 2.31/0.67 fof(f271,plain,( 2.31/0.67 spl32_11 <=> sP14(sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_11])])). 2.31/0.67 fof(f4160,plain,( 2.31/0.67 sP13(sK23(sK30)) | g_true_only(sK22(sK23(sK30)),sK23(sK30)) | ~spl32_11), 2.31/0.67 inference(resolution,[],[f273,f108])). 2.31/0.67 fof(f108,plain,( 2.31/0.67 ( ! [X0] : (~sP14(X0) | sP13(X0) | g_true_only(sK22(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f46])). 2.31/0.67 fof(f46,plain,( 2.31/0.67 ! [X0] : ((g_true_only(sK22(X0),X0) & g_true_only(X0,sK22(X0))) | sP13(X0) | ~sP14(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f44,f45])). 2.31/0.67 fof(f45,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X1,X0) & g_true_only(X0,X1)) => (g_true_only(sK22(X0),X0) & g_true_only(X0,sK22(X0))))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f44,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X1,X0) & g_true_only(X0,X1)) | sP13(X0) | ~sP14(X0))), 2.31/0.67 inference(rectify,[],[f43])). 2.31/0.67 fof(f43,plain,( 2.31/0.67 ! [X1] : (? [X7] : (g_true_only(X7,X1) & g_true_only(X1,X7)) | sP13(X1) | ~sP14(X1))), 2.31/0.67 inference(nnf_transformation,[],[f23])). 2.31/0.67 fof(f273,plain,( 2.31/0.67 sP14(sK23(sK30)) | ~spl32_11), 2.31/0.67 inference(avatar_component_clause,[],[f271])). 2.31/0.67 fof(f4417,plain,( 2.31/0.67 ~spl32_1 | spl32_12 | spl32_13 | ~spl32_90), 2.31/0.67 inference(avatar_contradiction_clause,[],[f4416])). 2.31/0.67 fof(f4416,plain,( 2.31/0.67 $false | (~spl32_1 | spl32_12 | spl32_13 | ~spl32_90)), 2.31/0.67 inference(subsumption_resolution,[],[f4414,f4361])). 2.31/0.67 fof(f4361,plain,( 2.31/0.67 ~g_true(sK23(sK30),sK30) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f4358,f152])). 2.31/0.67 fof(f4358,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK30) | ~spl32_90), 2.31/0.67 inference(subsumption_resolution,[],[f4351,f4340])). 2.31/0.67 fof(f4340,plain,( 2.31/0.67 g_true_only(sK28(sK23(sK30)),sK23(sK30)) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f1664,f132])). 2.31/0.67 fof(f132,plain,( 2.31/0.67 ( ! [X0] : (~sP2(X0) | g_true_only(sK28(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f82])). 2.31/0.67 fof(f82,plain,( 2.31/0.67 ! [X0] : ((g_true_only(X0,sK28(X0)) & g_true_only(sK28(X0),X0)) | ~sP2(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f80,f81])). 2.31/0.67 fof(f81,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X0,X1) & g_true_only(X1,X0)) => (g_true_only(X0,sK28(X0)) & g_true_only(sK28(X0),X0)))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f80,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X0,X1) & g_true_only(X1,X0)) | ~sP2(X0))), 2.31/0.67 inference(rectify,[],[f79])). 2.31/0.67 fof(f79,plain,( 2.31/0.67 ! [X15] : (? [X23] : (g_true_only(X15,X23) & g_true_only(X23,X15)) | ~sP2(X15))), 2.31/0.67 inference(nnf_transformation,[],[f11])). 2.31/0.67 fof(f1664,plain,( 2.31/0.67 sP2(sK23(sK30)) | ~spl32_90), 2.31/0.67 inference(avatar_component_clause,[],[f1662])). 2.31/0.67 fof(f1662,plain,( 2.31/0.67 spl32_90 <=> sP2(sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_90])])). 2.31/0.67 fof(f4351,plain,( 2.31/0.67 ~g_true_only(sK28(sK23(sK30)),sK23(sK30)) | g_false_only(sK23(sK30),sK30) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f4341,f253])). 2.31/0.67 fof(f4341,plain,( 2.31/0.67 g_true_only(sK23(sK30),sK28(sK23(sK30))) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f1664,f133])). 2.31/0.67 fof(f133,plain,( 2.31/0.67 ( ! [X0] : (~sP2(X0) | g_true_only(X0,sK28(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f82])). 2.31/0.67 fof(f4414,plain,( 2.31/0.67 g_true(sK23(sK30),sK30) | (~spl32_1 | spl32_12 | spl32_13 | ~spl32_90)), 2.31/0.67 inference(resolution,[],[f4409,f155])). 2.31/0.67 fof(f155,plain,( 2.31/0.67 ( ! [X0,X1] : (~g_both(X0,X1) | g_true(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f98])). 2.31/0.67 fof(f98,plain,( 2.31/0.67 ! [X0,X1] : (((g_false(X0,X1) & g_true(X0,X1)) | ~g_both(X0,X1)) & (g_both(X0,X1) | ~g_false(X0,X1) | ~g_true(X0,X1)))), 2.31/0.67 inference(flattening,[],[f97])). 2.31/0.67 fof(f97,plain,( 2.31/0.67 ! [X0,X1] : (((g_false(X0,X1) & g_true(X0,X1)) | ~g_both(X0,X1)) & (g_both(X0,X1) | (~g_false(X0,X1) | ~g_true(X0,X1))))), 2.31/0.67 inference(nnf_transformation,[],[f6])). 2.31/0.67 fof(f6,axiom,( 2.31/0.67 ! [X0,X1] : ((g_false(X0,X1) & g_true(X0,X1)) <=> g_both(X0,X1))), 2.31/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g)). 2.31/0.67 fof(f4409,plain,( 2.31/0.67 g_both(sK23(sK30),sK30) | (~spl32_1 | spl32_12 | spl32_13 | ~spl32_90)), 2.31/0.67 inference(subsumption_resolution,[],[f4397,f280])). 2.31/0.67 fof(f4397,plain,( 2.31/0.67 g_both(sK23(sK30),sK30) | sP5(sK23(sK30)) | (~spl32_1 | spl32_12 | ~spl32_90)), 2.31/0.67 inference(subsumption_resolution,[],[f4377,f276])). 2.31/0.67 fof(f4377,plain,( 2.31/0.67 g_both(sK23(sK30),sK30) | sP5(sK23(sK30)) | sP9(sK30) | (~spl32_1 | ~spl32_90)), 2.31/0.67 inference(resolution,[],[f4373,f1642])). 2.31/0.67 fof(f1642,plain,( 2.31/0.67 ( ! [X0] : (g_true_only(sK23(X0),X0) | g_both(sK23(X0),X0) | sP5(sK23(X0)) | sP9(X0)) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1641,f121])). 2.31/0.67 fof(f1641,plain,( 2.31/0.67 ( ! [X1] : (sP7(sK23(X1),X1) | sP9(X1) | g_both(sK23(X1),X1) | sP5(sK23(X1))) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1571,f120])). 2.31/0.67 fof(f1571,plain,( 2.31/0.67 ( ! [X0] : (sP8(sK23(X0),X0) | sP7(sK23(X0),X0) | sP9(X0) | g_both(sK23(X0),X0)) ) | ~spl32_1), 2.31/0.67 inference(subsumption_resolution,[],[f112,f161])). 2.31/0.67 fof(f112,plain,( 2.31/0.67 ( ! [X0] : (~sP12 | sP8(sK23(X0),X0) | sP7(sK23(X0),X0) | sP9(X0) | g_both(sK23(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f52])). 2.31/0.67 fof(f4373,plain,( 2.31/0.67 ~g_true_only(sK23(sK30),sK30) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f4361,f150])). 2.31/0.67 fof(f4396,plain,( 2.31/0.67 ~spl32_46 | ~spl32_90), 2.31/0.67 inference(avatar_contradiction_clause,[],[f4395])). 2.31/0.67 fof(f4395,plain,( 2.31/0.67 $false | (~spl32_46 | ~spl32_90)), 2.31/0.67 inference(subsumption_resolution,[],[f4381,f4366])). 2.31/0.67 fof(f4366,plain,( 2.31/0.67 ~g_false_only(sK23(sK30),sK21(sK23(sK30))) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f4360,f104])). 2.31/0.67 fof(f104,plain,( 2.31/0.67 ( ! [X0] : (~sP16(X0) | ~g_false_only(X0,sK21(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f40])). 2.31/0.67 fof(f40,plain,( 2.31/0.67 ! [X0] : ((~g_false_only(X0,sK21(X0)) & ~g_false_only(sK21(X0),X0)) | ~sP16(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f38,f39])). 2.31/0.67 fof(f39,plain,( 2.31/0.67 ! [X0] : (? [X1] : (~g_false_only(X0,X1) & ~g_false_only(X1,X0)) => (~g_false_only(X0,sK21(X0)) & ~g_false_only(sK21(X0),X0)))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f38,plain,( 2.31/0.67 ! [X0] : (? [X1] : (~g_false_only(X0,X1) & ~g_false_only(X1,X0)) | ~sP16(X0))), 2.31/0.67 inference(rectify,[],[f37])). 2.31/0.67 fof(f37,plain,( 2.31/0.67 ! [X1] : (? [X6] : (~g_false_only(X1,X6) & ~g_false_only(X6,X1)) | ~sP16(X1))), 2.31/0.67 inference(nnf_transformation,[],[f25])). 2.31/0.67 fof(f4360,plain,( 2.31/0.67 sP16(sK23(sK30)) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f4358,f143])). 2.31/0.67 fof(f143,plain,( 2.31/0.67 ( ! [X1] : (~g_false_only(X1,sK30) | sP16(X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f92])). 2.31/0.67 fof(f4381,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK21(sK23(sK30))) | (~spl32_46 | ~spl32_90)), 2.31/0.67 inference(resolution,[],[f4365,f688])). 2.31/0.67 fof(f688,plain,( 2.31/0.67 ( ! [X2] : (g_false_only(X2,sK23(sK30)) | g_false_only(sK23(sK30),X2)) ) | ~spl32_46), 2.31/0.67 inference(avatar_component_clause,[],[f687])). 2.31/0.67 fof(f4365,plain,( 2.31/0.67 ~g_false_only(sK21(sK23(sK30)),sK23(sK30)) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f4360,f103])). 2.31/0.67 fof(f103,plain,( 2.31/0.67 ( ! [X0] : (~sP16(X0) | ~g_false_only(sK21(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f40])). 2.31/0.67 fof(f4336,plain,( 2.31/0.67 ~spl32_46 | ~spl32_154), 2.31/0.67 inference(avatar_contradiction_clause,[],[f4335])). 2.31/0.67 fof(f4335,plain,( 2.31/0.67 $false | (~spl32_46 | ~spl32_154)), 2.31/0.67 inference(subsumption_resolution,[],[f4321,f4320])). 2.31/0.67 fof(f4320,plain,( 2.31/0.67 ~g_false_only(sK23(sK30),sK21(sK23(sK30))) | ~spl32_154), 2.31/0.67 inference(resolution,[],[f4262,f104])). 2.31/0.67 fof(f4262,plain,( 2.31/0.67 sP16(sK23(sK30)) | ~spl32_154), 2.31/0.67 inference(avatar_component_clause,[],[f4260])). 2.31/0.67 fof(f4260,plain,( 2.31/0.67 spl32_154 <=> sP16(sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_154])])). 2.31/0.67 fof(f4321,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK21(sK23(sK30))) | (~spl32_46 | ~spl32_154)), 2.31/0.67 inference(resolution,[],[f4319,f688])). 2.31/0.67 fof(f4319,plain,( 2.31/0.67 ~g_false_only(sK21(sK23(sK30)),sK23(sK30)) | ~spl32_154), 2.31/0.67 inference(resolution,[],[f4262,f103])). 2.31/0.67 fof(f4318,plain,( 2.31/0.67 ~spl32_46 | ~spl32_155), 2.31/0.67 inference(avatar_contradiction_clause,[],[f4317])). 2.31/0.67 fof(f4317,plain,( 2.31/0.67 $false | (~spl32_46 | ~spl32_155)), 2.31/0.67 inference(subsumption_resolution,[],[f4306,f4275])). 2.31/0.67 fof(f4275,plain,( 2.31/0.67 ~g_false_only(sK23(sK30),sK19(sK23(sK30))) | ~spl32_155), 2.31/0.67 inference(resolution,[],[f4269,f100])). 2.31/0.67 fof(f100,plain,( 2.31/0.67 ( ! [X0] : (~sP18(X0) | ~g_false_only(X0,sK19(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f32])). 2.31/0.67 fof(f32,plain,( 2.31/0.67 ! [X0] : ((~g_false_only(X0,sK19(X0)) & ~g_false_only(sK19(X0),X0)) | ~sP18(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f30,f31])). 2.31/0.67 fof(f31,plain,( 2.31/0.67 ! [X0] : (? [X1] : (~g_false_only(X0,X1) & ~g_false_only(X1,X0)) => (~g_false_only(X0,sK19(X0)) & ~g_false_only(sK19(X0),X0)))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f30,plain,( 2.31/0.67 ! [X0] : (? [X1] : (~g_false_only(X0,X1) & ~g_false_only(X1,X0)) | ~sP18(X0))), 2.31/0.67 inference(rectify,[],[f29])). 2.31/0.67 fof(f29,plain,( 2.31/0.67 ! [X1] : (? [X3] : (~g_false_only(X1,X3) & ~g_false_only(X3,X1)) | ~sP18(X1))), 2.31/0.67 inference(nnf_transformation,[],[f27])). 2.31/0.67 fof(f4269,plain,( 2.31/0.67 sP18(sK23(sK30)) | ~spl32_155), 2.31/0.67 inference(resolution,[],[f4266,f145])). 2.31/0.67 fof(f145,plain,( 2.31/0.67 ( ! [X1] : (~g_both(X1,sK30) | sP18(X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f92])). 2.31/0.67 fof(f4266,plain,( 2.31/0.67 g_both(sK23(sK30),sK30) | ~spl32_155), 2.31/0.67 inference(avatar_component_clause,[],[f4264])). 2.31/0.67 fof(f4264,plain,( 2.31/0.67 spl32_155 <=> g_both(sK23(sK30),sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_155])])). 2.31/0.67 fof(f4306,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK19(sK23(sK30))) | (~spl32_46 | ~spl32_155)), 2.31/0.67 inference(resolution,[],[f688,f4274])). 2.31/0.67 fof(f4274,plain,( 2.31/0.67 ~g_false_only(sK19(sK23(sK30)),sK23(sK30)) | ~spl32_155), 2.31/0.67 inference(resolution,[],[f4269,f99])). 2.31/0.67 fof(f99,plain,( 2.31/0.67 ( ! [X0] : (~sP18(X0) | ~g_false_only(sK19(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f32])). 2.31/0.67 fof(f4267,plain,( 2.31/0.67 spl32_154 | spl32_155 | ~spl32_1 | spl32_12 | spl32_68), 2.31/0.67 inference(avatar_split_clause,[],[f4140,f1094,f275,f159,f4264,f4260])). 2.31/0.67 fof(f1094,plain,( 2.31/0.67 spl32_68 <=> sP3(sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_68])])). 2.31/0.67 fof(f4140,plain,( 2.31/0.67 g_both(sK23(sK30),sK30) | sP16(sK23(sK30)) | (~spl32_1 | spl32_12 | spl32_68)), 2.31/0.67 inference(subsumption_resolution,[],[f4139,f1095])). 2.31/0.67 fof(f1095,plain,( 2.31/0.67 ~sP3(sK23(sK30)) | spl32_68), 2.31/0.67 inference(avatar_component_clause,[],[f1094])). 2.31/0.67 fof(f4139,plain,( 2.31/0.67 g_both(sK23(sK30),sK30) | sP3(sK23(sK30)) | sP16(sK23(sK30)) | (~spl32_1 | spl32_12)), 2.31/0.67 inference(subsumption_resolution,[],[f1744,f276])). 2.31/0.67 fof(f1744,plain,( 2.31/0.67 g_both(sK23(sK30),sK30) | sP9(sK30) | sP3(sK23(sK30)) | sP16(sK23(sK30)) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1667,f143])). 2.31/0.67 fof(f1667,plain,( 2.31/0.67 ( ! [X1] : (g_false_only(sK23(X1),X1) | g_both(sK23(X1),X1) | sP9(X1) | sP3(sK23(X1))) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1640,f122])). 2.31/0.67 fof(f122,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP7(X0,X1) | sP3(X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f66])). 2.31/0.67 fof(f1640,plain,( 2.31/0.67 ( ! [X0] : (sP7(sK23(X0),X0) | sP9(X0) | g_both(sK23(X0),X0) | g_false_only(sK23(X0),X0)) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1571,f119])). 2.31/0.67 fof(f119,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP8(X0,X1) | g_false_only(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f64])). 2.31/0.67 fof(f4213,plain,( 2.31/0.67 ~spl32_1 | spl32_12 | spl32_13 | spl32_14 | spl32_68), 2.31/0.67 inference(avatar_contradiction_clause,[],[f4212])). 2.31/0.67 fof(f4212,plain,( 2.31/0.67 $false | (~spl32_1 | spl32_12 | spl32_13 | spl32_14 | spl32_68)), 2.31/0.67 inference(subsumption_resolution,[],[f4202,f280])). 2.31/0.67 fof(f4202,plain,( 2.31/0.67 sP5(sK23(sK30)) | (~spl32_1 | spl32_12 | spl32_14 | spl32_68)), 2.31/0.67 inference(subsumption_resolution,[],[f4201,f1095])). 2.31/0.67 fof(f4201,plain,( 2.31/0.67 sP5(sK23(sK30)) | sP3(sK23(sK30)) | (~spl32_1 | spl32_12 | spl32_14)), 2.31/0.67 inference(subsumption_resolution,[],[f3941,f284])). 2.31/0.67 fof(f3941,plain,( 2.31/0.67 sP6(sK23(sK30)) | sP5(sK23(sK30)) | sP3(sK23(sK30)) | (~spl32_1 | spl32_12)), 2.31/0.67 inference(resolution,[],[f276,f1513])). 2.31/0.67 fof(f1513,plain,( 2.31/0.67 ( ! [X1] : (sP9(X1) | sP6(sK23(X1)) | sP5(sK23(X1)) | sP3(sK23(X1))) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1508,f122])). 2.31/0.67 fof(f4118,plain,( 2.31/0.67 ~spl32_88 | ~spl32_90), 2.31/0.67 inference(avatar_contradiction_clause,[],[f4117])). 2.31/0.67 fof(f4117,plain,( 2.31/0.67 $false | (~spl32_88 | ~spl32_90)), 2.31/0.67 inference(subsumption_resolution,[],[f4109,f4099])). 2.31/0.67 fof(f4099,plain,( 2.31/0.67 g_true_only(sK28(sK23(sK30)),sK23(sK30)) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f1664,f132])). 2.31/0.67 fof(f4109,plain,( 2.31/0.67 ~g_true_only(sK28(sK23(sK30)),sK23(sK30)) | (~spl32_88 | ~spl32_90)), 2.31/0.67 inference(resolution,[],[f4100,f1653])). 2.31/0.67 fof(f4100,plain,( 2.31/0.67 g_true_only(sK23(sK30),sK28(sK23(sK30))) | ~spl32_90), 2.31/0.67 inference(resolution,[],[f1664,f133])). 2.31/0.67 fof(f4095,plain,( 2.31/0.67 ~spl32_45 | ~spl32_70 | ~spl32_134), 2.31/0.67 inference(avatar_contradiction_clause,[],[f4094])). 2.31/0.67 fof(f4094,plain,( 2.31/0.67 $false | (~spl32_45 | ~spl32_70 | ~spl32_134)), 2.31/0.67 inference(subsumption_resolution,[],[f4093,f3524])). 2.31/0.67 fof(f3524,plain,( 2.31/0.67 ~g_false_only(sK23(sK30),sK27(sK23(sK30))) | ~spl32_45), 2.31/0.67 inference(resolution,[],[f685,f127])). 2.31/0.67 fof(f4093,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK27(sK23(sK30))) | (~spl32_45 | ~spl32_70 | ~spl32_134)), 2.31/0.67 inference(subsumption_resolution,[],[f4089,f3525])). 2.31/0.67 fof(f3525,plain,( 2.31/0.67 ~g_false_only(sK27(sK23(sK30)),sK23(sK30)) | ~spl32_45), 2.31/0.67 inference(resolution,[],[f685,f128])). 2.31/0.67 fof(f4089,plain,( 2.31/0.67 g_false_only(sK27(sK23(sK30)),sK23(sK30)) | g_false_only(sK23(sK30),sK27(sK23(sK30))) | (~spl32_70 | ~spl32_134)), 2.31/0.67 inference(resolution,[],[f3943,f1130])). 2.31/0.67 fof(f3943,plain,( 2.31/0.67 ( ! [X1] : (~g_both(sK23(sK30),X1) | g_false_only(X1,sK23(sK30)) | g_false_only(sK23(sK30),X1)) ) | ~spl32_134), 2.31/0.67 inference(resolution,[],[f3621,f106])). 2.31/0.67 fof(f106,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP15(X0) | g_false_only(X1,X0) | ~g_both(X0,X1) | g_false_only(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f42])). 2.31/0.67 fof(f42,plain,( 2.31/0.67 ! [X0] : (! [X1] : (g_false_only(X0,X1) | g_false_only(X1,X0) | (~g_both(X0,X1) & ~g_both(X1,X0))) | ~sP15(X0))), 2.31/0.67 inference(rectify,[],[f41])). 2.31/0.67 fof(f41,plain,( 2.31/0.67 ! [X1] : (! [X5] : (g_false_only(X1,X5) | g_false_only(X5,X1) | (~g_both(X1,X5) & ~g_both(X5,X1))) | ~sP15(X1))), 2.31/0.67 inference(nnf_transformation,[],[f24])). 2.31/0.67 fof(f3621,plain,( 2.31/0.67 sP15(sK23(sK30)) | ~spl32_134), 2.31/0.67 inference(avatar_component_clause,[],[f3619])). 2.31/0.67 fof(f3619,plain,( 2.31/0.67 spl32_134 <=> sP15(sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_134])])). 2.31/0.67 fof(f3923,plain,( 2.31/0.67 spl32_9 | spl32_10 | ~spl32_12 | ~spl32_95 | ~spl32_141 | spl32_142), 2.31/0.67 inference(avatar_contradiction_clause,[],[f3922])). 2.31/0.67 fof(f3922,plain,( 2.31/0.67 $false | (spl32_9 | spl32_10 | ~spl32_12 | ~spl32_95 | ~spl32_141 | spl32_142)), 2.31/0.67 inference(subsumption_resolution,[],[f3921,f3908])). 2.31/0.67 fof(f3908,plain,( 2.31/0.67 ~g_true_only(sK30,sK25(sK30)) | (spl32_9 | spl32_10 | ~spl32_141)), 2.31/0.67 inference(subsumption_resolution,[],[f3907,f233])). 2.31/0.67 fof(f233,plain,( 2.31/0.67 ~sP17(sK30) | spl32_9), 2.31/0.67 inference(avatar_component_clause,[],[f232])). 2.31/0.67 fof(f232,plain,( 2.31/0.67 spl32_9 <=> sP17(sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_9])])). 2.31/0.67 fof(f3907,plain,( 2.31/0.67 ~g_true_only(sK30,sK25(sK30)) | sP17(sK30) | (spl32_10 | ~spl32_141)), 2.31/0.67 inference(subsumption_resolution,[],[f3900,f237])). 2.31/0.67 fof(f237,plain,( 2.31/0.67 ~sP14(sK30) | spl32_10), 2.31/0.67 inference(avatar_component_clause,[],[f236])). 2.31/0.67 fof(f236,plain,( 2.31/0.67 spl32_10 <=> sP14(sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_10])])). 2.31/0.67 fof(f3900,plain,( 2.31/0.67 ~g_true_only(sK30,sK25(sK30)) | sP14(sK30) | sP17(sK30) | ~spl32_141), 2.31/0.67 inference(resolution,[],[f3773,f200])). 2.31/0.67 fof(f200,plain,( 2.31/0.67 ( ! [X2,X3] : (~g_true_only(X3,X2) | ~g_true_only(X2,X3) | sP14(X2) | sP17(X2)) )), 2.31/0.67 inference(resolution,[],[f146,f168])). 2.31/0.67 fof(f168,plain,( 2.31/0.67 ( ! [X0] : (g_both(X0,sK30) | sP14(X0) | sP17(X0)) )), 2.31/0.67 inference(resolution,[],[f157,f144])). 2.31/0.67 fof(f144,plain,( 2.31/0.67 ( ! [X1] : (~g_false_only(X1,sK30) | sP17(X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f92])). 2.31/0.67 fof(f157,plain,( 2.31/0.67 ( ! [X0] : (g_false_only(X0,sK30) | sP14(X0) | g_both(X0,sK30)) )), 2.31/0.67 inference(resolution,[],[f142,f147])). 2.31/0.67 fof(f142,plain,( 2.31/0.67 ( ! [X1] : (~g_true_only(X1,sK30) | sP14(X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f92])). 2.31/0.67 fof(f3773,plain,( 2.31/0.67 g_true_only(sK25(sK30),sK30) | ~spl32_141), 2.31/0.67 inference(avatar_component_clause,[],[f3771])). 2.31/0.67 fof(f3771,plain,( 2.31/0.67 spl32_141 <=> g_true_only(sK25(sK30),sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_141])])). 2.31/0.67 fof(f3921,plain,( 2.31/0.67 g_true_only(sK30,sK25(sK30)) | (~spl32_12 | ~spl32_95 | spl32_142)), 2.31/0.67 inference(subsumption_resolution,[],[f3863,f3776])). 2.31/0.67 fof(f3776,plain,( 2.31/0.67 ~sP0(sK30) | spl32_142), 2.31/0.67 inference(avatar_component_clause,[],[f3775])). 2.31/0.67 fof(f3775,plain,( 2.31/0.67 spl32_142 <=> sP0(sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_142])])). 2.31/0.67 fof(f3863,plain,( 2.31/0.67 sP0(sK30) | g_true_only(sK30,sK25(sK30)) | (~spl32_12 | ~spl32_95)), 2.31/0.67 inference(resolution,[],[f3732,f1889])). 2.31/0.67 fof(f1889,plain,( 2.31/0.67 g_both(sK30,sK30) | ~spl32_95), 2.31/0.67 inference(avatar_component_clause,[],[f1887])). 2.31/0.67 fof(f1887,plain,( 2.31/0.67 spl32_95 <=> g_both(sK30,sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_95])])). 2.31/0.67 fof(f3732,plain,( 2.31/0.67 ( ! [X1] : (~g_both(X1,sK30) | sP0(X1) | g_true_only(X1,sK25(X1))) ) | ~spl32_12), 2.31/0.67 inference(resolution,[],[f277,f118])). 2.31/0.67 fof(f118,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP9(X0) | sP0(X1) | ~g_both(X1,X0) | g_true_only(X1,sK25(X1))) )), 2.31/0.67 inference(cnf_transformation,[],[f62])). 2.31/0.67 fof(f62,plain,( 2.31/0.67 ! [X0] : (! [X1] : ((g_true_only(X1,sK25(X1)) & g_true_only(sK25(X1),X1)) | sP0(X1) | ~g_both(X1,X0)) | ~sP9(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f60,f61])). 2.31/0.67 fof(f61,plain,( 2.31/0.67 ! [X1] : (? [X2] : (g_true_only(X1,X2) & g_true_only(X2,X1)) => (g_true_only(X1,sK25(X1)) & g_true_only(sK25(X1),X1)))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f60,plain,( 2.31/0.67 ! [X0] : (! [X1] : (? [X2] : (g_true_only(X1,X2) & g_true_only(X2,X1)) | sP0(X1) | ~g_both(X1,X0)) | ~sP9(X0))), 2.31/0.67 inference(rectify,[],[f59])). 2.31/0.67 fof(f59,plain,( 2.31/0.67 ! [X14] : (! [X24] : (? [X25] : (g_true_only(X24,X25) & g_true_only(X25,X24)) | sP0(X24) | ~g_both(X24,X14)) | ~sP9(X14))), 2.31/0.67 inference(nnf_transformation,[],[f18])). 2.31/0.67 fof(f277,plain,( 2.31/0.67 sP9(sK30) | ~spl32_12), 2.31/0.67 inference(avatar_component_clause,[],[f275])). 2.31/0.67 fof(f3887,plain,( 2.31/0.67 spl32_54 | ~spl32_95 | ~spl32_142), 2.31/0.67 inference(avatar_contradiction_clause,[],[f3886])). 2.31/0.67 fof(f3886,plain,( 2.31/0.67 $false | (spl32_54 | ~spl32_95 | ~spl32_142)), 2.31/0.67 inference(subsumption_resolution,[],[f3885,f783])). 2.31/0.67 fof(f783,plain,( 2.31/0.67 ~g_false_only(sK30,sK30) | spl32_54), 2.31/0.67 inference(avatar_component_clause,[],[f782])). 2.31/0.67 fof(f782,plain,( 2.31/0.67 spl32_54 <=> g_false_only(sK30,sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_54])])). 2.31/0.67 fof(f3885,plain,( 2.31/0.67 g_false_only(sK30,sK30) | (~spl32_95 | ~spl32_142)), 2.31/0.67 inference(duplicate_literal_removal,[],[f3880])). 2.31/0.67 fof(f3880,plain,( 2.31/0.67 g_false_only(sK30,sK30) | g_false_only(sK30,sK30) | (~spl32_95 | ~spl32_142)), 2.31/0.67 inference(resolution,[],[f3806,f1889])). 2.31/0.67 fof(f3806,plain,( 2.31/0.67 ( ! [X0] : (~g_both(sK30,X0) | g_false_only(sK30,X0) | g_false_only(X0,sK30)) ) | ~spl32_142), 2.31/0.67 inference(resolution,[],[f3777,f137])). 2.31/0.67 fof(f137,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP0(X0) | g_false_only(X0,X1) | ~g_both(X0,X1) | g_false_only(X1,X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f88])). 2.31/0.67 fof(f88,plain,( 2.31/0.67 ! [X0] : (! [X1] : (g_false_only(X1,X0) | g_false_only(X0,X1) | (~g_both(X1,X0) & ~g_both(X0,X1))) | ~sP0(X0))), 2.31/0.67 inference(rectify,[],[f87])). 2.31/0.67 fof(f87,plain,( 2.31/0.67 ! [X24] : (! [X26] : (g_false_only(X26,X24) | g_false_only(X24,X26) | (~g_both(X26,X24) & ~g_both(X24,X26))) | ~sP0(X24))), 2.31/0.67 inference(nnf_transformation,[],[f9])). 2.31/0.67 fof(f3777,plain,( 2.31/0.67 sP0(sK30) | ~spl32_142), 2.31/0.67 inference(avatar_component_clause,[],[f3775])). 2.31/0.67 fof(f3778,plain,( 2.31/0.67 spl32_141 | spl32_142 | ~spl32_12 | ~spl32_95), 2.31/0.67 inference(avatar_split_clause,[],[f3769,f1887,f275,f3775,f3771])). 2.31/0.67 fof(f3769,plain,( 2.31/0.67 sP0(sK30) | g_true_only(sK25(sK30),sK30) | (~spl32_12 | ~spl32_95)), 2.31/0.67 inference(resolution,[],[f3731,f1889])). 2.31/0.67 fof(f3731,plain,( 2.31/0.67 ( ! [X0] : (~g_both(X0,sK30) | sP0(X0) | g_true_only(sK25(X0),X0)) ) | ~spl32_12), 2.31/0.67 inference(resolution,[],[f277,f117])). 2.31/0.67 fof(f117,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP9(X0) | sP0(X1) | ~g_both(X1,X0) | g_true_only(sK25(X1),X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f62])). 2.31/0.67 fof(f3726,plain,( 2.31/0.67 ~spl32_88 | ~spl32_133 | ~spl32_135), 2.31/0.67 inference(avatar_contradiction_clause,[],[f3725])). 2.31/0.67 fof(f3725,plain,( 2.31/0.67 $false | (~spl32_88 | ~spl32_133 | ~spl32_135)), 2.31/0.67 inference(subsumption_resolution,[],[f3717,f3617])). 2.31/0.67 fof(f3617,plain,( 2.31/0.67 g_true_only(sK20(sK23(sK30)),sK23(sK30)) | ~spl32_133), 2.31/0.67 inference(avatar_component_clause,[],[f3615])). 2.31/0.67 fof(f3615,plain,( 2.31/0.67 spl32_133 <=> g_true_only(sK20(sK23(sK30)),sK23(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_133])])). 2.31/0.67 fof(f3717,plain,( 2.31/0.67 ~g_true_only(sK20(sK23(sK30)),sK23(sK30)) | (~spl32_88 | ~spl32_135)), 2.31/0.67 inference(resolution,[],[f3634,f1653])). 2.31/0.67 fof(f3634,plain,( 2.31/0.67 g_true_only(sK23(sK30),sK20(sK23(sK30))) | ~spl32_135), 2.31/0.67 inference(avatar_component_clause,[],[f3632])). 2.31/0.67 fof(f3632,plain,( 2.31/0.67 spl32_135 <=> g_true_only(sK23(sK30),sK20(sK23(sK30)))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_135])])). 2.31/0.67 fof(f3692,plain,( 2.31/0.67 ~spl32_45 | ~spl32_69 | ~spl32_134), 2.31/0.67 inference(avatar_contradiction_clause,[],[f3691])). 2.31/0.67 fof(f3691,plain,( 2.31/0.67 $false | (~spl32_45 | ~spl32_69 | ~spl32_134)), 2.31/0.67 inference(subsumption_resolution,[],[f3690,f3524])). 2.31/0.67 fof(f3690,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK27(sK23(sK30))) | (~spl32_45 | ~spl32_69 | ~spl32_134)), 2.31/0.67 inference(subsumption_resolution,[],[f3688,f3525])). 2.31/0.67 fof(f3688,plain,( 2.31/0.67 g_false_only(sK27(sK23(sK30)),sK23(sK30)) | g_false_only(sK23(sK30),sK27(sK23(sK30))) | (~spl32_69 | ~spl32_134)), 2.31/0.67 inference(resolution,[],[f3636,f1126])). 2.31/0.67 fof(f3636,plain,( 2.31/0.67 ( ! [X0] : (~g_both(X0,sK23(sK30)) | g_false_only(X0,sK23(sK30)) | g_false_only(sK23(sK30),X0)) ) | ~spl32_134), 2.31/0.67 inference(resolution,[],[f3621,f105])). 2.31/0.67 fof(f105,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP15(X0) | g_false_only(X1,X0) | ~g_both(X1,X0) | g_false_only(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f42])). 2.31/0.67 fof(f3635,plain,( 2.31/0.67 spl32_135 | spl32_134 | ~spl32_1 | spl32_11 | spl32_12 | spl32_14), 2.31/0.67 inference(avatar_split_clause,[],[f3556,f283,f275,f271,f159,f3619,f3632])). 2.31/0.67 fof(f3556,plain,( 2.31/0.67 sP15(sK23(sK30)) | g_true_only(sK23(sK30),sK20(sK23(sK30))) | (~spl32_1 | spl32_11 | spl32_12 | spl32_14)), 2.31/0.67 inference(resolution,[],[f3551,f102])). 2.31/0.67 fof(f102,plain,( 2.31/0.67 ( ! [X0] : (~sP17(X0) | sP15(X0) | g_true_only(X0,sK20(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f36])). 2.31/0.67 fof(f36,plain,( 2.31/0.67 ! [X0] : ((g_true_only(X0,sK20(X0)) & g_true_only(sK20(X0),X0)) | sP15(X0) | ~sP17(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f34,f35])). 2.31/0.67 fof(f35,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X0,X1) & g_true_only(X1,X0)) => (g_true_only(X0,sK20(X0)) & g_true_only(sK20(X0),X0)))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f34,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X0,X1) & g_true_only(X1,X0)) | sP15(X0) | ~sP17(X0))), 2.31/0.67 inference(rectify,[],[f33])). 2.31/0.67 fof(f33,plain,( 2.31/0.67 ! [X1] : (? [X4] : (g_true_only(X1,X4) & g_true_only(X4,X1)) | sP15(X1) | ~sP17(X1))), 2.31/0.67 inference(nnf_transformation,[],[f26])). 2.31/0.67 fof(f3551,plain,( 2.31/0.67 sP17(sK23(sK30)) | (~spl32_1 | spl32_11 | spl32_12 | spl32_14)), 2.31/0.67 inference(resolution,[],[f3550,f144])). 2.31/0.67 fof(f3550,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK30) | (~spl32_1 | spl32_11 | spl32_12 | spl32_14)), 2.31/0.67 inference(subsumption_resolution,[],[f3521,f284])). 2.31/0.67 fof(f3521,plain,( 2.31/0.67 sP6(sK23(sK30)) | g_false_only(sK23(sK30),sK30) | (~spl32_1 | spl32_11 | spl32_12)), 2.31/0.67 inference(subsumption_resolution,[],[f1777,f272])). 2.31/0.67 fof(f272,plain,( 2.31/0.67 ~sP14(sK23(sK30)) | spl32_11), 2.31/0.67 inference(avatar_component_clause,[],[f271])). 2.31/0.67 fof(f1777,plain,( 2.31/0.67 sP6(sK23(sK30)) | g_false_only(sK23(sK30),sK30) | sP14(sK23(sK30)) | (~spl32_1 | spl32_12)), 2.31/0.67 inference(subsumption_resolution,[],[f1622,f276])). 2.31/0.67 fof(f1622,plain,( 2.31/0.67 sP6(sK23(sK30)) | g_false_only(sK23(sK30),sK30) | sP9(sK30) | sP14(sK23(sK30)) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1598,f142])). 2.31/0.67 fof(f1598,plain,( 2.31/0.67 ( ! [X0] : (g_true_only(sK23(X0),X0) | sP6(sK23(X0)) | g_false_only(sK23(X0),X0) | sP9(X0)) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1507,f121])). 2.31/0.67 fof(f1507,plain,( 2.31/0.67 ( ! [X0] : (sP7(sK23(X0),X0) | sP9(X0) | sP6(sK23(X0)) | g_false_only(sK23(X0),X0)) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1441,f119])). 2.31/0.67 fof(f3622,plain,( 2.31/0.67 spl32_133 | spl32_134 | ~spl32_1 | spl32_11 | spl32_12 | spl32_14), 2.31/0.67 inference(avatar_split_clause,[],[f3555,f283,f275,f271,f159,f3619,f3615])). 2.31/0.67 fof(f3555,plain,( 2.31/0.67 sP15(sK23(sK30)) | g_true_only(sK20(sK23(sK30)),sK23(sK30)) | (~spl32_1 | spl32_11 | spl32_12 | spl32_14)), 2.31/0.67 inference(resolution,[],[f3551,f101])). 2.31/0.67 fof(f101,plain,( 2.31/0.67 ( ! [X0] : (~sP17(X0) | sP15(X0) | g_true_only(sK20(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f36])). 2.31/0.67 fof(f3366,plain,( 2.31/0.67 ~spl32_46 | ~spl32_89), 2.31/0.67 inference(avatar_contradiction_clause,[],[f3365])). 2.31/0.67 fof(f3365,plain,( 2.31/0.67 $false | (~spl32_46 | ~spl32_89)), 2.31/0.67 inference(subsumption_resolution,[],[f3349,f1670])). 2.31/0.67 fof(f1670,plain,( 2.31/0.67 ~g_false_only(sK23(sK30),sK29(sK23(sK30))) | ~spl32_89), 2.31/0.67 inference(resolution,[],[f1660,f136])). 2.31/0.67 fof(f3349,plain,( 2.31/0.67 g_false_only(sK23(sK30),sK29(sK23(sK30))) | (~spl32_46 | ~spl32_89)), 2.31/0.67 inference(resolution,[],[f688,f1669])). 2.31/0.67 fof(f1669,plain,( 2.31/0.67 ~g_false_only(sK29(sK23(sK30)),sK23(sK30)) | ~spl32_89), 2.31/0.67 inference(resolution,[],[f1660,f135])). 2.31/0.67 fof(f2536,plain,( 2.31/0.67 ~spl32_43 | spl32_54 | ~spl32_95), 2.31/0.67 inference(avatar_contradiction_clause,[],[f2535])). 2.31/0.67 fof(f2535,plain,( 2.31/0.67 $false | (~spl32_43 | spl32_54 | ~spl32_95)), 2.31/0.67 inference(subsumption_resolution,[],[f2534,f783])). 2.31/0.67 fof(f2534,plain,( 2.31/0.67 g_false_only(sK30,sK30) | (~spl32_43 | ~spl32_95)), 2.31/0.67 inference(duplicate_literal_removal,[],[f2528])). 2.31/0.67 fof(f2528,plain,( 2.31/0.67 g_false_only(sK30,sK30) | g_false_only(sK30,sK30) | (~spl32_43 | ~spl32_95)), 2.31/0.67 inference(resolution,[],[f2323,f1889])). 2.31/0.67 fof(f2323,plain,( 2.31/0.67 ( ! [X0] : (~g_both(sK30,X0) | g_false_only(sK30,X0) | g_false_only(X0,sK30)) ) | ~spl32_43), 2.31/0.67 inference(resolution,[],[f673,f109])). 2.31/0.67 fof(f673,plain,( 2.31/0.67 sP13(sK30) | ~spl32_43), 2.31/0.67 inference(avatar_component_clause,[],[f671])). 2.31/0.67 fof(f671,plain,( 2.31/0.67 spl32_43 <=> sP13(sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_43])])). 2.31/0.67 fof(f2434,plain,( 2.31/0.67 ~spl32_23 | ~spl32_25), 2.31/0.67 inference(avatar_contradiction_clause,[],[f2433])). 2.31/0.67 fof(f2433,plain,( 2.31/0.67 $false | (~spl32_23 | ~spl32_25)), 2.31/0.67 inference(subsumption_resolution,[],[f2432,f358])). 2.31/0.67 fof(f358,plain,( 2.31/0.67 g_true_only(sK30,sK20(sK30)) | ~spl32_23), 2.31/0.67 inference(avatar_component_clause,[],[f356])). 2.31/0.67 fof(f356,plain,( 2.31/0.67 spl32_23 <=> g_true_only(sK30,sK20(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_23])])). 2.31/0.67 fof(f2432,plain,( 2.31/0.67 ~g_true_only(sK30,sK20(sK30)) | ~spl32_25), 2.31/0.67 inference(resolution,[],[f2420,f150])). 2.31/0.67 fof(f2420,plain,( 2.31/0.67 ~g_true(sK30,sK20(sK30)) | ~spl32_25), 2.31/0.67 inference(resolution,[],[f374,f152])). 2.31/0.67 fof(f374,plain,( 2.31/0.67 g_false_only(sK30,sK20(sK30)) | ~spl32_25), 2.31/0.67 inference(avatar_component_clause,[],[f372])). 2.31/0.67 fof(f372,plain,( 2.31/0.67 spl32_25 <=> g_false_only(sK30,sK20(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_25])])). 2.31/0.67 fof(f2361,plain,( 2.31/0.67 ~spl32_22 | ~spl32_95), 2.31/0.67 inference(avatar_contradiction_clause,[],[f2360])). 2.31/0.67 fof(f2360,plain,( 2.31/0.67 $false | (~spl32_22 | ~spl32_95)), 2.31/0.67 inference(subsumption_resolution,[],[f2342,f2328])). 2.31/0.67 fof(f2328,plain,( 2.31/0.67 g_true(sK30,sK30) | ~spl32_95), 2.31/0.67 inference(resolution,[],[f1889,f155])). 2.31/0.67 fof(f2342,plain,( 2.31/0.67 ~g_true(sK30,sK30) | ~spl32_22), 2.31/0.67 inference(resolution,[],[f2312,f152])). 2.31/0.67 fof(f2312,plain,( 2.31/0.67 g_false_only(sK30,sK30) | ~spl32_22), 2.31/0.67 inference(factoring,[],[f2297])). 2.31/0.67 fof(f2297,plain,( 2.31/0.67 ( ! [X0] : (g_false_only(X0,sK30) | g_false_only(sK30,X0)) ) | ~spl32_22), 2.31/0.67 inference(subsumption_resolution,[],[f2296,f1975])). 2.31/0.67 fof(f1975,plain,( 2.31/0.67 ( ! [X1] : (~g_both(sK30,X1) | g_false_only(X1,sK30) | g_false_only(sK30,X1)) ) | ~spl32_22), 2.31/0.67 inference(resolution,[],[f345,f106])). 2.31/0.67 fof(f345,plain,( 2.31/0.67 sP15(sK30) | ~spl32_22), 2.31/0.67 inference(avatar_component_clause,[],[f343])). 2.31/0.67 fof(f343,plain,( 2.31/0.67 spl32_22 <=> sP15(sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_22])])). 2.31/0.67 fof(f2296,plain,( 2.31/0.67 ( ! [X0] : (g_false_only(X0,sK30) | g_false_only(sK30,X0) | g_both(sK30,X0)) ) | ~spl32_22), 2.31/0.67 inference(subsumption_resolution,[],[f1860,f1974])). 2.31/0.67 fof(f1974,plain,( 2.31/0.67 ( ! [X0] : (~g_both(X0,sK30) | g_false_only(X0,sK30) | g_false_only(sK30,X0)) ) | ~spl32_22), 2.31/0.67 inference(resolution,[],[f345,f105])). 2.31/0.67 fof(f1860,plain,( 2.31/0.67 ( ! [X0] : (g_false_only(X0,sK30) | g_false_only(sK30,X0) | g_both(X0,sK30) | g_both(sK30,X0)) )), 2.31/0.67 inference(factoring,[],[f255])). 2.31/0.67 fof(f2314,plain,( 2.31/0.67 ~spl32_22 | ~spl32_31), 2.31/0.67 inference(avatar_contradiction_clause,[],[f2313])). 2.31/0.67 fof(f2313,plain,( 2.31/0.67 $false | (~spl32_22 | ~spl32_31)), 2.31/0.67 inference(subsumption_resolution,[],[f2304,f1031])). 2.31/0.67 fof(f1031,plain,( 2.31/0.67 ~g_false_only(sK30,sK21(sK30)) | ~spl32_31), 2.31/0.67 inference(resolution,[],[f441,f104])). 2.31/0.67 fof(f441,plain,( 2.31/0.67 sP16(sK30) | ~spl32_31), 2.31/0.67 inference(avatar_component_clause,[],[f439])). 2.31/0.67 fof(f439,plain,( 2.31/0.67 spl32_31 <=> sP16(sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_31])])). 2.31/0.67 fof(f2304,plain,( 2.31/0.67 g_false_only(sK30,sK21(sK30)) | (~spl32_22 | ~spl32_31)), 2.31/0.67 inference(resolution,[],[f2297,f1030])). 2.31/0.67 fof(f1030,plain,( 2.31/0.67 ~g_false_only(sK21(sK30),sK30) | ~spl32_31), 2.31/0.67 inference(resolution,[],[f441,f103])). 2.31/0.67 fof(f1985,plain,( 2.31/0.67 ~spl32_23 | ~spl32_24), 2.31/0.67 inference(avatar_contradiction_clause,[],[f1984])). 2.31/0.67 fof(f1984,plain,( 2.31/0.67 $false | (~spl32_23 | ~spl32_24)), 2.31/0.67 inference(subsumption_resolution,[],[f1983,f358])). 2.31/0.67 fof(f1983,plain,( 2.31/0.67 ~g_true_only(sK30,sK20(sK30)) | ~spl32_24), 2.31/0.67 inference(resolution,[],[f1971,f149])). 2.31/0.67 fof(f149,plain,( 2.31/0.67 ( ! [X0,X1] : (~g_false(X0,X1) | ~g_true_only(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f94])). 2.31/0.67 fof(f1971,plain,( 2.31/0.67 g_false(sK30,sK20(sK30)) | ~spl32_24), 2.31/0.67 inference(resolution,[],[f370,f156])). 2.31/0.67 fof(f156,plain,( 2.31/0.67 ( ! [X0,X1] : (~g_both(X0,X1) | g_false(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f98])). 2.31/0.67 fof(f370,plain,( 2.31/0.67 g_both(sK30,sK20(sK30)) | ~spl32_24), 2.31/0.67 inference(avatar_component_clause,[],[f368])). 2.31/0.67 fof(f368,plain,( 2.31/0.67 spl32_24 <=> g_both(sK30,sK20(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_24])])). 2.31/0.67 fof(f1890,plain,( 2.31/0.67 spl32_95 | spl32_54), 2.31/0.67 inference(avatar_split_clause,[],[f1864,f782,f1887])). 2.31/0.67 fof(f1864,plain,( 2.31/0.67 g_false_only(sK30,sK30) | g_both(sK30,sK30)), 2.31/0.67 inference(duplicate_literal_removal,[],[f1861])). 2.31/0.67 fof(f1861,plain,( 2.31/0.67 g_false_only(sK30,sK30) | g_false_only(sK30,sK30) | g_both(sK30,sK30) | g_both(sK30,sK30)), 2.31/0.67 inference(factoring,[],[f255])). 2.31/0.67 fof(f1773,plain,( 2.31/0.67 spl32_93 | spl32_46 | ~spl32_14), 2.31/0.67 inference(avatar_split_clause,[],[f690,f283,f687,f1770])). 2.31/0.67 fof(f690,plain,( 2.31/0.67 ( ! [X0] : (g_false_only(X0,sK23(sK30)) | g_false_only(sK23(sK30),X0) | g_true_only(sK26(sK23(sK30)),sK23(sK30))) ) | ~spl32_14), 2.31/0.67 inference(resolution,[],[f285,f123])). 2.31/0.67 fof(f123,plain,( 2.31/0.67 ( ! [X2,X0] : (~sP6(X0) | g_false_only(X2,X0) | g_false_only(X0,X2) | g_true_only(sK26(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f70])). 2.31/0.67 fof(f1671,plain,( 2.31/0.67 spl32_90 | spl32_88 | ~spl32_68), 2.31/0.67 inference(avatar_split_clause,[],[f1656,f1094,f1652,f1662])). 2.31/0.67 fof(f1656,plain,( 2.31/0.67 ( ! [X0] : (~g_true_only(X0,sK23(sK30)) | sP2(sK23(sK30)) | ~g_true_only(sK23(sK30),X0)) ) | ~spl32_68), 2.31/0.67 inference(resolution,[],[f1096,f131])). 2.31/0.67 fof(f131,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP3(X0) | ~g_true_only(X1,X0) | sP2(X0) | ~g_true_only(X0,X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f78])). 2.31/0.67 fof(f78,plain,( 2.31/0.67 ! [X0] : ((! [X1] : (~g_true_only(X0,X1) | ~g_true_only(X1,X0)) & sP1(X0)) | sP2(X0) | ~sP3(X0))), 2.31/0.67 inference(rectify,[],[f77])). 2.31/0.67 fof(f77,plain,( 2.31/0.67 ! [X15] : ((! [X21] : (~g_true_only(X15,X21) | ~g_true_only(X21,X15)) & sP1(X15)) | sP2(X15) | ~sP3(X15))), 2.31/0.67 inference(nnf_transformation,[],[f12])). 2.31/0.67 fof(f1096,plain,( 2.31/0.67 sP3(sK23(sK30)) | ~spl32_68), 2.31/0.67 inference(avatar_component_clause,[],[f1094])). 2.31/0.67 fof(f1665,plain,( 2.31/0.67 spl32_89 | spl32_90 | ~spl32_68), 2.31/0.67 inference(avatar_split_clause,[],[f1655,f1094,f1662,f1658])). 2.31/0.67 fof(f1655,plain,( 2.31/0.67 sP2(sK23(sK30)) | sP1(sK23(sK30)) | ~spl32_68), 2.31/0.67 inference(resolution,[],[f1096,f130])). 2.31/0.67 fof(f130,plain,( 2.31/0.67 ( ! [X0] : (~sP3(X0) | sP2(X0) | sP1(X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f78])). 2.31/0.67 fof(f1654,plain,( 2.31/0.67 spl32_88 | spl32_68 | ~spl32_1 | spl32_12 | spl32_13), 2.31/0.67 inference(avatar_split_clause,[],[f1650,f279,f275,f159,f1094,f1652])). 2.31/0.67 fof(f1650,plain,( 2.31/0.67 ( ! [X2] : (sP3(sK23(sK30)) | ~g_true_only(sK23(sK30),X2) | ~g_true_only(X2,sK23(sK30))) ) | (~spl32_1 | spl32_12 | spl32_13)), 2.31/0.67 inference(subsumption_resolution,[],[f1649,f280])). 2.31/0.67 fof(f1649,plain,( 2.31/0.67 ( ! [X2] : (sP5(sK23(sK30)) | sP3(sK23(sK30)) | ~g_true_only(sK23(sK30),X2) | ~g_true_only(X2,sK23(sK30))) ) | (~spl32_1 | spl32_12)), 2.31/0.67 inference(subsumption_resolution,[],[f1647,f276])). 2.31/0.67 fof(f1647,plain,( 2.31/0.67 ( ! [X2] : (sP9(sK30) | sP5(sK23(sK30)) | sP3(sK23(sK30)) | ~g_true_only(sK23(sK30),X2) | ~g_true_only(X2,sK23(sK30))) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1643,f146])). 2.31/0.67 fof(f1643,plain,( 2.31/0.67 ( ! [X1] : (g_both(sK23(X1),X1) | sP9(X1) | sP5(sK23(X1)) | sP3(sK23(X1))) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f1641,f122])). 2.31/0.67 fof(f1485,plain,( 2.31/0.67 ~spl32_3 | ~spl32_31), 2.31/0.67 inference(avatar_contradiction_clause,[],[f1484])). 2.31/0.67 fof(f1484,plain,( 2.31/0.67 $false | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(subsumption_resolution,[],[f1483,f1440])). 2.31/0.67 fof(f1440,plain,( 2.31/0.67 g_true_only(sK24(sK30),sK30) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(resolution,[],[f1437,f116])). 2.31/0.67 fof(f116,plain,( 2.31/0.67 ( ! [X0] : (~sP10(X0) | g_true_only(sK24(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f58])). 2.31/0.67 fof(f58,plain,( 2.31/0.67 ! [X0] : ((g_true_only(sK24(X0),X0) & g_true_only(X0,sK24(X0))) | ~sP10(X0))), 2.31/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f56,f57])). 2.31/0.67 fof(f57,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X1,X0) & g_true_only(X0,X1)) => (g_true_only(sK24(X0),X0) & g_true_only(X0,sK24(X0))))), 2.31/0.67 introduced(choice_axiom,[])). 2.31/0.67 fof(f56,plain,( 2.31/0.67 ! [X0] : (? [X1] : (g_true_only(X1,X0) & g_true_only(X0,X1)) | ~sP10(X0))), 2.31/0.67 inference(rectify,[],[f55])). 2.31/0.67 fof(f55,plain,( 2.31/0.67 ! [X11] : (? [X13] : (g_true_only(X13,X11) & g_true_only(X11,X13)) | ~sP10(X11))), 2.31/0.67 inference(nnf_transformation,[],[f19])). 2.31/0.67 fof(f1437,plain,( 2.31/0.67 sP10(sK30) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(subsumption_resolution,[],[f1417,f1031])). 2.31/0.67 fof(f1417,plain,( 2.31/0.67 g_false_only(sK30,sK21(sK30)) | sP10(sK30) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(resolution,[],[f1384,f1030])). 2.31/0.67 fof(f1384,plain,( 2.31/0.67 ( ! [X0,X1] : (g_false_only(X0,X1) | g_false_only(X1,X0) | sP10(X0)) ) | ~spl32_3), 2.31/0.67 inference(resolution,[],[f203,f113])). 2.31/0.67 fof(f113,plain,( 2.31/0.67 ( ! [X0,X1] : (~sP11(X0,X1) | sP10(X1)) )), 2.31/0.67 inference(cnf_transformation,[],[f54])). 2.31/0.67 fof(f54,plain,( 2.31/0.67 ! [X0,X1] : ((g_false_only(X1,X0) & sP10(X1)) | ~sP11(X0,X1))), 2.31/0.67 inference(rectify,[],[f53])). 2.31/0.67 fof(f53,plain,( 2.31/0.67 ! [X10,X11] : ((g_false_only(X11,X10) & sP10(X11)) | ~sP11(X10,X11))), 2.31/0.67 inference(nnf_transformation,[],[f20])). 2.31/0.67 fof(f203,plain,( 2.31/0.67 ( ! [X6,X5] : (sP11(sK31,X5) | g_false_only(X5,X6) | g_false_only(X6,X5)) ) | ~spl32_3), 2.31/0.67 inference(avatar_component_clause,[],[f202])). 2.31/0.67 fof(f202,plain,( 2.31/0.67 spl32_3 <=> ! [X5,X6] : (g_false_only(X5,X6) | sP11(sK31,X5) | g_false_only(X6,X5))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_3])])). 2.31/0.67 fof(f1483,plain,( 2.31/0.67 ~g_true_only(sK24(sK30),sK30) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(resolution,[],[f1474,f150])). 2.31/0.67 fof(f1474,plain,( 2.31/0.67 ~g_true(sK24(sK30),sK30) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(resolution,[],[f1467,f152])). 2.31/0.67 fof(f1467,plain,( 2.31/0.67 g_false_only(sK24(sK30),sK30) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(subsumption_resolution,[],[f1464,f1439])). 2.31/0.67 fof(f1439,plain,( 2.31/0.67 g_true_only(sK30,sK24(sK30)) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(resolution,[],[f1437,f115])). 2.31/0.67 fof(f115,plain,( 2.31/0.67 ( ! [X0] : (~sP10(X0) | g_true_only(X0,sK24(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f58])). 2.31/0.67 fof(f1464,plain,( 2.31/0.67 ~g_true_only(sK30,sK24(sK30)) | g_false_only(sK24(sK30),sK30) | (~spl32_3 | ~spl32_31)), 2.31/0.67 inference(resolution,[],[f1440,f253])). 2.31/0.67 fof(f1131,plain,( 2.31/0.67 spl32_69 | spl32_70 | ~spl32_45), 2.31/0.67 inference(avatar_split_clause,[],[f1102,f683,f1128,f1124])). 2.31/0.67 fof(f1102,plain,( 2.31/0.67 g_both(sK23(sK30),sK27(sK23(sK30))) | g_both(sK27(sK23(sK30)),sK23(sK30)) | ~spl32_45), 2.31/0.67 inference(resolution,[],[f685,f129])). 2.31/0.67 fof(f129,plain,( 2.31/0.67 ( ! [X0] : (~sP4(X0) | g_both(X0,sK27(X0)) | g_both(sK27(X0),X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f76])). 2.31/0.67 fof(f902,plain,( 2.31/0.67 spl32_9 | ~spl32_54), 2.31/0.67 inference(avatar_contradiction_clause,[],[f901])). 2.31/0.67 fof(f901,plain,( 2.31/0.67 $false | (spl32_9 | ~spl32_54)), 2.31/0.67 inference(subsumption_resolution,[],[f233,f834])). 2.31/0.67 fof(f834,plain,( 2.31/0.67 sP17(sK30) | ~spl32_54), 2.31/0.67 inference(resolution,[],[f784,f144])). 2.31/0.67 fof(f784,plain,( 2.31/0.67 g_false_only(sK30,sK30) | ~spl32_54), 2.31/0.67 inference(avatar_component_clause,[],[f782])). 2.31/0.67 fof(f839,plain,( 2.31/0.67 spl32_31 | ~spl32_54), 2.31/0.67 inference(avatar_contradiction_clause,[],[f838])). 2.31/0.67 fof(f838,plain,( 2.31/0.67 $false | (spl32_31 | ~spl32_54)), 2.31/0.67 inference(subsumption_resolution,[],[f835,f440])). 2.31/0.67 fof(f440,plain,( 2.31/0.67 ~sP16(sK30) | spl32_31), 2.31/0.67 inference(avatar_component_clause,[],[f439])). 2.31/0.67 fof(f835,plain,( 2.31/0.67 sP16(sK30) | ~spl32_54), 2.31/0.67 inference(resolution,[],[f784,f143])). 2.31/0.67 fof(f785,plain,( 2.31/0.67 spl32_54 | ~spl32_53 | ~spl32_42), 2.31/0.67 inference(avatar_split_clause,[],[f768,f667,f775,f782])). 2.31/0.67 fof(f775,plain,( 2.31/0.67 spl32_53 <=> g_true_only(sK22(sK30),sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_53])])). 2.31/0.67 fof(f667,plain,( 2.31/0.67 spl32_42 <=> g_true_only(sK30,sK22(sK30))), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_42])])). 2.31/0.67 fof(f768,plain,( 2.31/0.67 ~g_true_only(sK22(sK30),sK30) | g_false_only(sK30,sK30) | ~spl32_42), 2.31/0.67 inference(resolution,[],[f669,f253])). 2.31/0.67 fof(f669,plain,( 2.31/0.67 g_true_only(sK30,sK22(sK30)) | ~spl32_42), 2.31/0.67 inference(avatar_component_clause,[],[f667])). 2.31/0.67 fof(f778,plain,( 2.31/0.67 spl32_53 | spl32_43 | ~spl32_10), 2.31/0.67 inference(avatar_split_clause,[],[f764,f236,f671,f775])). 2.31/0.67 fof(f764,plain,( 2.31/0.67 sP13(sK30) | g_true_only(sK22(sK30),sK30) | ~spl32_10), 2.31/0.67 inference(resolution,[],[f238,f108])). 2.31/0.67 fof(f238,plain,( 2.31/0.67 sP14(sK30) | ~spl32_10), 2.31/0.67 inference(avatar_component_clause,[],[f236])). 2.31/0.67 fof(f689,plain,( 2.31/0.67 spl32_45 | spl32_46 | ~spl32_13), 2.31/0.67 inference(avatar_split_clause,[],[f544,f279,f687,f683])). 2.31/0.67 fof(f544,plain,( 2.31/0.67 ( ! [X2] : (g_false_only(X2,sK23(sK30)) | g_false_only(sK23(sK30),X2) | sP4(sK23(sK30))) ) | ~spl32_13), 2.31/0.67 inference(resolution,[],[f281,f126])). 2.31/0.67 fof(f126,plain,( 2.31/0.67 ( ! [X2,X0] : (~sP5(X0) | g_false_only(X2,X0) | g_false_only(X0,X2) | sP4(X0)) )), 2.31/0.67 inference(cnf_transformation,[],[f72])). 2.31/0.67 fof(f674,plain,( 2.31/0.67 spl32_42 | spl32_43 | ~spl32_10), 2.31/0.67 inference(avatar_split_clause,[],[f654,f236,f671,f667])). 2.31/0.67 fof(f654,plain,( 2.31/0.67 sP13(sK30) | g_true_only(sK30,sK22(sK30)) | ~spl32_10), 2.31/0.67 inference(resolution,[],[f238,f107])). 2.31/0.67 fof(f107,plain,( 2.31/0.67 ( ! [X0] : (~sP14(X0) | sP13(X0) | g_true_only(X0,sK22(X0))) )), 2.31/0.67 inference(cnf_transformation,[],[f46])). 2.31/0.67 fof(f652,plain,( 2.31/0.67 ~spl32_3 | spl32_9), 2.31/0.67 inference(avatar_contradiction_clause,[],[f651])). 2.31/0.67 fof(f651,plain,( 2.31/0.67 $false | (~spl32_3 | spl32_9)), 2.31/0.67 inference(subsumption_resolution,[],[f650,f619])). 2.31/0.67 fof(f619,plain,( 2.31/0.67 g_true_only(sK24(sK30),sK30) | (~spl32_3 | spl32_9)), 2.31/0.67 inference(resolution,[],[f617,f116])). 2.31/0.67 fof(f617,plain,( 2.31/0.67 sP10(sK30) | (~spl32_3 | spl32_9)), 2.31/0.67 inference(subsumption_resolution,[],[f615,f233])). 2.31/0.67 fof(f615,plain,( 2.31/0.67 sP10(sK30) | sP17(sK30) | ~spl32_3), 2.31/0.67 inference(resolution,[],[f573,f144])). 2.31/0.67 fof(f573,plain,( 2.31/0.67 ( ! [X0] : (g_false_only(X0,X0) | sP10(X0)) ) | ~spl32_3), 2.31/0.67 inference(factoring,[],[f545])). 2.31/0.67 fof(f545,plain,( 2.31/0.67 ( ! [X0,X1] : (g_false_only(X0,X1) | g_false_only(X1,X0) | sP10(X0)) ) | ~spl32_3), 2.31/0.67 inference(resolution,[],[f203,f113])). 2.31/0.67 fof(f650,plain,( 2.31/0.67 ~g_true_only(sK24(sK30),sK30) | (~spl32_3 | spl32_9)), 2.31/0.67 inference(resolution,[],[f641,f150])). 2.31/0.67 fof(f641,plain,( 2.31/0.67 ~g_true(sK24(sK30),sK30) | (~spl32_3 | spl32_9)), 2.31/0.67 inference(resolution,[],[f631,f152])). 2.31/0.67 fof(f631,plain,( 2.31/0.67 g_false_only(sK24(sK30),sK30) | (~spl32_3 | spl32_9)), 2.31/0.67 inference(subsumption_resolution,[],[f628,f618])). 2.31/0.67 fof(f618,plain,( 2.31/0.67 g_true_only(sK30,sK24(sK30)) | (~spl32_3 | spl32_9)), 2.31/0.67 inference(resolution,[],[f617,f115])). 2.31/0.67 fof(f628,plain,( 2.31/0.67 ~g_true_only(sK30,sK24(sK30)) | g_false_only(sK24(sK30),sK30) | (~spl32_3 | spl32_9)), 2.31/0.67 inference(resolution,[],[f619,f253])). 2.31/0.67 fof(f375,plain,( 2.31/0.67 spl32_24 | spl32_25 | ~spl32_21), 2.31/0.67 inference(avatar_split_clause,[],[f364,f339,f372,f368])). 2.31/0.67 fof(f339,plain,( 2.31/0.67 spl32_21 <=> g_true_only(sK20(sK30),sK30)), 2.31/0.67 introduced(avatar_definition,[new_symbols(naming,[spl32_21])])). 2.31/0.67 fof(f364,plain,( 2.31/0.67 g_false_only(sK30,sK20(sK30)) | g_both(sK30,sK20(sK30)) | ~spl32_21), 2.31/0.67 inference(resolution,[],[f362,f147])). 2.31/0.67 fof(f362,plain,( 2.31/0.67 ~g_true_only(sK30,sK20(sK30)) | ~spl32_21), 2.31/0.67 inference(resolution,[],[f347,f341])). 2.31/0.67 fof(f341,plain,( 2.31/0.67 g_true_only(sK20(sK30),sK30) | ~spl32_21), 2.31/0.67 inference(avatar_component_clause,[],[f339])). 2.31/0.67 fof(f347,plain,( 2.31/0.67 ( ! [X0] : (~g_true_only(sK20(sK30),X0) | ~g_true_only(X0,sK20(sK30))) ) | ~spl32_21), 2.31/0.67 inference(resolution,[],[f341,f141])). 2.31/0.67 fof(f359,plain,( 2.31/0.67 spl32_23 | spl32_22 | ~spl32_9), 2.31/0.67 inference(avatar_split_clause,[],[f331,f232,f343,f356])). 2.31/0.67 fof(f331,plain,( 2.31/0.67 sP15(sK30) | g_true_only(sK30,sK20(sK30)) | ~spl32_9), 2.31/0.67 inference(resolution,[],[f234,f102])). 2.31/0.67 fof(f234,plain,( 2.31/0.67 sP17(sK30) | ~spl32_9), 2.31/0.67 inference(avatar_component_clause,[],[f232])). 2.31/0.67 fof(f346,plain,( 2.31/0.67 spl32_21 | spl32_22 | ~spl32_9), 2.31/0.67 inference(avatar_split_clause,[],[f330,f232,f343,f339])). 2.31/0.67 fof(f330,plain,( 2.31/0.67 sP15(sK30) | g_true_only(sK20(sK30),sK30) | ~spl32_9), 2.31/0.67 inference(resolution,[],[f234,f101])). 2.31/0.67 fof(f299,plain,( 2.31/0.67 spl32_15 | spl32_16 | ~spl32_11), 2.31/0.67 inference(avatar_split_clause,[],[f287,f271,f296,f292])). 2.31/0.67 fof(f287,plain,( 2.31/0.67 sP13(sK23(sK30)) | g_true_only(sK23(sK30),sK22(sK23(sK30))) | ~spl32_11), 2.31/0.67 inference(resolution,[],[f273,f107])). 2.31/0.67 fof(f286,plain,( 2.31/0.67 spl32_11 | spl32_12 | spl32_13 | spl32_14 | ~spl32_1), 2.31/0.67 inference(avatar_split_clause,[],[f264,f159,f283,f279,f275,f271])). 2.31/0.67 fof(f264,plain,( 2.31/0.67 sP6(sK23(sK30)) | sP5(sK23(sK30)) | sP9(sK30) | sP14(sK23(sK30)) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f259,f142])). 2.31/0.67 fof(f259,plain,( 2.31/0.67 ( ! [X0] : (g_true_only(sK23(X0),X0) | sP6(sK23(X0)) | sP5(sK23(X0)) | sP9(X0)) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f258,f121])). 2.31/0.67 fof(f258,plain,( 2.31/0.67 ( ! [X1] : (sP7(sK23(X1),X1) | sP9(X1) | sP6(sK23(X1)) | sP5(sK23(X1))) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f205,f120])). 2.31/0.67 fof(f205,plain,( 2.31/0.67 ( ! [X0] : (sP8(sK23(X0),X0) | sP7(sK23(X0),X0) | sP9(X0) | sP6(sK23(X0))) ) | ~spl32_1), 2.31/0.67 inference(resolution,[],[f161,f111])). 2.31/0.67 fof(f204,plain,( 2.31/0.67 spl32_1 | spl32_3), 2.31/0.67 inference(avatar_split_clause,[],[f139,f202,f159])). 2.31/0.67 fof(f139,plain,( 2.31/0.67 ( ! [X6,X5] : (g_false_only(X5,X6) | g_false_only(X6,X5) | sP11(sK31,X5) | sP12) )), 2.31/0.67 inference(cnf_transformation,[],[f92])). 2.31/0.67 % SZS output end Proof for theBenchmark 2.31/0.67 % (22539)------------------------------ 2.31/0.67 % (22539)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.31/0.67 % (22539)Termination reason: Refutation 2.31/0.67 2.31/0.67 % (22539)Memory used [KB]: 11641 2.31/0.67 % (22539)Time elapsed: 0.283 s 2.31/0.67 % (22539)------------------------------ 2.31/0.67 % (22539)------------------------------ 2.31/0.68 % (22529)Success in time 0.348 s 2.31/0.68 EOF