0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 05:45:16 EDT 2022 0.20/0.35 % CPUTime : 0.20/0.35 This is a FOF_ problem 0.20/0.35 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.36 % (6134)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (6137)ott+1010_5:4_av=off:bd=off:fde=none:irw=on:lma=on:nm=32:nwc=2.5:sd=2:ss=axioms:st=3.0:urr=on_5 on theBenchmark 0.20/0.42 % (6136)dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_2 on theBenchmark 0.20/0.42 WARNING Broken Constraint: if sat_solver(z3) has been set then avatar(off) is equal to on 0.20/0.42 % (6141)ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_22 on theBenchmark 0.20/0.42 % (6138)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on_3 on theBenchmark 0.20/0.43 % (6139)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_2 on theBenchmark 0.20/0.43 % (6142)lrs+1_2:3_aac=none:afr=on:afp=100000:afq=1.0:amm=sco:bd=off:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=on:sac=on:sp=occurrence:urr=ec_only:updr=off:uhcvi=on_16 on theBenchmark 0.21/0.43 % (6140)dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_2 on theBenchmark 0.21/0.44 % (6135)ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_3 on theBenchmark 4.16/0.92 % (6136)Time limit reached! 4.16/0.92 % (6136)------------------------------ 4.16/0.92 % (6136)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.16/0.92 % (6136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.16/0.92 % (6136)Termination reason: Time limit 4.16/0.92 % (6136)Termination phase: Saturation 4.16/0.92 4.16/0.92 % (6136)Memory used [KB]: 19573 4.16/0.92 % (6136)Time elapsed: 0.500 s 4.16/0.92 % (6136)------------------------------ 4.16/0.92 % (6136)------------------------------ 4.16/0.92 % (6139)Time limit reached! 4.16/0.92 % (6139)------------------------------ 4.16/0.92 % (6139)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.16/0.92 % (6139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.16/0.92 % (6139)Termination reason: Time limit 4.16/0.92 % (6139)Termination phase: Saturation 4.16/0.92 4.16/0.92 % (6139)Memory used [KB]: 16502 4.16/0.92 % (6139)Time elapsed: 0.500 s 4.16/0.92 % (6139)------------------------------ 4.16/0.92 % (6139)------------------------------ 4.57/0.93 % (6140)Time limit reached! 4.57/0.93 % (6140)------------------------------ 4.57/0.93 % (6140)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.57/0.93 % (6140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.57/0.93 % (6140)Termination reason: Time limit 4.57/0.93 % (6140)Termination phase: Saturation 4.57/0.93 4.57/0.93 % (6140)Memory used [KB]: 19573 4.57/0.93 % (6140)Time elapsed: 0.500 s 4.57/0.93 % (6140)------------------------------ 4.57/0.93 % (6140)------------------------------ 4.69/0.95 % (6143)dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_4 on theBenchmark 4.69/0.96 % (6145)dis-3_5_av=off:cond=on:gs=on:gsem=off:lcm=predicate:nm=0:nwc=1:sos=on:sp=reverse_arity_3 on theBenchmark 4.69/0.98 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 4.69/0.98 % (6144)dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_2 on theBenchmark 5.03/1.02 % (6135)Time limit reached! 5.03/1.02 % (6135)------------------------------ 5.03/1.02 % (6135)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.03/1.02 % (6135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.03/1.02 % (6135)Termination reason: Time limit 5.03/1.02 % (6135)Termination phase: Saturation 5.03/1.02 5.03/1.02 % (6135)Memory used [KB]: 33005 5.03/1.02 % (6135)Time elapsed: 0.600 s 5.03/1.02 % (6135)------------------------------ 5.03/1.02 % (6135)------------------------------ 5.03/1.02 % (6138)Time limit reached! 5.03/1.02 % (6138)------------------------------ 5.03/1.02 % (6138)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.03/1.02 % (6138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.03/1.02 % (6138)Termination reason: Time limit 5.03/1.02 % (6138)Termination phase: Saturation 5.03/1.02 5.03/1.02 % (6138)Memory used [KB]: 34285 5.03/1.02 % (6138)Time elapsed: 0.600 s 5.03/1.02 % (6138)------------------------------ 5.03/1.02 % (6138)------------------------------ 5.03/1.05 % (6146)lrs+1011_3:2_av=off:er=known:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=2:ss=axioms:st=3.0:urr=on:updr=off_5 on theBenchmark 5.03/1.06 % (6147)lrs+1003_2_acc=on:afp=4000:afq=2.0:amm=sco:bd=off:ccuc=small_ones:fsr=off:fde=unused:gsp=on:nm=64:newcnf=on:nwc=2.5:nicw=on:stl=30:urr=ec_only_8 on theBenchmark 6.62/1.22 % (6137)Time limit reached! 6.62/1.22 % (6137)------------------------------ 6.62/1.22 % (6137)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 6.62/1.22 % (6137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 6.62/1.22 % (6137)Termination reason: Time limit 6.62/1.22 % (6137)Termination phase: Saturation 6.62/1.22 6.62/1.22 % (6137)Memory used [KB]: 27504 6.62/1.22 % (6137)Time elapsed: 0.800 s 6.62/1.22 % (6137)------------------------------ 6.62/1.22 % (6137)------------------------------ 7.01/1.25 % (6151)lrs+2_1_add=large:afp=100000:afq=1.0:amm=off:anc=none:bd=off:bs=unit_only:bsr=on:gsp=on:lma=on:lwlo=on:newcnf=on:nwc=1:stl=30:sos=theory:sp=reverse_arity:updr=off_14 on theBenchmark 7.92/1.42 % (6147)First to succeed. 7.92/1.43 % (6147)Refutation found. Thanks to Tanya! 7.92/1.43 % SZS status Theorem for theBenchmark 7.92/1.43 % SZS output start Proof for theBenchmark 7.92/1.43 fof(f9631,plain,( 7.92/1.43 $false), 7.92/1.43 inference(avatar_sat_refutation,[],[f210,f215,f220,f229,f234,f235,f240,f250,f255,f260,f265,f270,f275,f295,f300,f394,f422,f430,f434,f463,f489,f496,f500,f512,f521,f560,f625,f643,f815,f821,f830,f837,f896,f915,f1051,f1090,f1101,f1107,f1167,f1254,f1259,f1372,f1378,f1463,f1636,f1883,f1893,f1971,f2157,f2167,f2196,f3613,f4768,f4818,f4856,f5034,f5044,f5469,f5495,f7820,f7832,f7853,f7941,f8070,f8318,f8415,f8429,f8434,f8457,f8468,f8469,f8472,f8474,f8693,f9202,f9630])). 7.92/1.43 fof(f9630,plain,( 7.92/1.43 ~spl5_2 | ~spl5_11 | ~spl5_40 | ~spl5_76 | ~spl5_630), 7.92/1.43 inference(avatar_split_clause,[],[f9629,f8686,f894,f486,f257,f212])). 7.92/1.43 fof(f212,plain,( 7.92/1.43 spl5_2 <=> mem(sK1,ty_2Eextreal_2Eextreal)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_2])])). 7.92/1.43 fof(f257,plain,( 7.92/1.43 spl5_11 <=> p(c_2Ebool_2ET)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_11])])). 7.92/1.43 fof(f486,plain,( 7.92/1.43 spl5_40 <=> c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_40])])). 7.92/1.43 fof(f894,plain,( 7.92/1.43 spl5_76 <=> ! [X1] : (~mem(X1,ty_2Eextreal_2Eextreal) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK0)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),X1)))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_76])])). 7.92/1.43 fof(f8686,plain,( 7.92/1.43 spl5_630 <=> c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK1)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_630])])). 7.92/1.43 fof(f9629,plain,( 7.92/1.43 ~p(c_2Ebool_2ET) | ~mem(sK1,ty_2Eextreal_2Eextreal) | (~spl5_40 | ~spl5_76 | ~spl5_630)), 7.92/1.43 inference(duplicate_literal_removal,[],[f9628])). 7.92/1.43 fof(f9628,plain,( 7.92/1.43 ~p(c_2Ebool_2ET) | ~p(c_2Ebool_2ET) | ~mem(sK1,ty_2Eextreal_2Eextreal) | (~spl5_40 | ~spl5_76 | ~spl5_630)), 7.92/1.43 inference(forward_demodulation,[],[f9609,f488])). 7.92/1.43 fof(f488,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | ~spl5_40), 7.92/1.43 inference(avatar_component_clause,[],[f486])). 7.92/1.43 fof(f9609,plain,( 7.92/1.43 ~p(c_2Ebool_2ET) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)) | ~mem(sK1,ty_2Eextreal_2Eextreal) | (~spl5_76 | ~spl5_630)), 7.92/1.43 inference(superposition,[],[f895,f8688])). 7.92/1.43 fof(f8688,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK1) | ~spl5_630), 7.92/1.43 inference(avatar_component_clause,[],[f8686])). 7.92/1.43 fof(f895,plain,( 7.92/1.43 ( ! [X1] : (~p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),X1)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK0)) | ~mem(X1,ty_2Eextreal_2Eextreal)) ) | ~spl5_76), 7.92/1.43 inference(avatar_component_clause,[],[f894])). 7.92/1.43 fof(f9202,plain,( 7.92/1.43 ~spl5_2 | ~spl5_3 | ~spl5_19 | spl5_631), 7.92/1.43 inference(avatar_split_clause,[],[f9200,f8690,f297,f217,f212])). 7.92/1.43 fof(f217,plain,( 7.92/1.43 spl5_3 <=> mem(sK2,ty_2Eextreal_2Eextreal)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_3])])). 7.92/1.43 fof(f297,plain,( 7.92/1.43 spl5_19 <=> mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_19])])). 7.92/1.43 fof(f8690,plain,( 7.92/1.43 spl5_631 <=> mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK1),bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_631])])). 7.92/1.43 fof(f9200,plain,( 7.92/1.43 ~mem(sK2,ty_2Eextreal_2Eextreal) | ~mem(sK1,ty_2Eextreal_2Eextreal) | (~spl5_19 | spl5_631)), 7.92/1.43 inference(resolution,[],[f8905,f299])). 7.92/1.43 fof(f299,plain,( 7.92/1.43 mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) | ~spl5_19), 7.92/1.43 inference(avatar_component_clause,[],[f297])). 7.92/1.43 fof(f8905,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(c_2Eextreal_2Eextreal__le,arr(X1,arr(X0,bool))) | ~mem(sK2,X1) | ~mem(sK1,X0)) ) | spl5_631), 7.92/1.43 inference(resolution,[],[f8826,f201])). 7.92/1.43 fof(f201,plain,( 7.92/1.43 ( ! [X2,X3,X0,X1] : (mem(ap(X2,X3),X1) | ~mem(X3,X0) | ~mem(X2,arr(X0,X1))) )), 7.92/1.43 inference(cnf_transformation,[],[f150])). 7.92/1.43 fof(f150,plain,( 7.92/1.43 ! [X0,X1,X2] : (! [X3] : (mem(ap(X2,X3),X1) | ~mem(X3,X0)) | ~mem(X2,arr(X0,X1)))), 7.92/1.43 inference(ennf_transformation,[],[f97])). 7.92/1.43 fof(f97,plain,( 7.92/1.43 ! [X0,X1,X2] : (mem(X2,arr(X0,X1)) => ! [X3] : (mem(X3,X0) => mem(ap(X2,X3),X1)))), 7.92/1.43 inference(rectify,[],[f3])). 7.92/1.43 fof(f3,axiom,( 7.92/1.43 ! [X0,X1,X2] : (mem(X2,arr(X0,X1)) => ! [X4] : (mem(X4,X0) => mem(ap(X2,X4),X1)))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp)). 7.92/1.43 fof(f8826,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(c_2Eextreal_2Eextreal__le,sK2),arr(X0,bool)) | ~mem(sK1,X0)) ) | spl5_631), 7.92/1.43 inference(resolution,[],[f8692,f201])). 7.92/1.43 fof(f8692,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK1),bool) | spl5_631), 7.92/1.43 inference(avatar_component_clause,[],[f8690])). 7.92/1.43 fof(f8693,plain,( 7.92/1.43 ~spl5_2 | spl5_630 | ~spl5_3 | ~spl5_631 | spl5_7 | ~spl5_38 | ~spl5_535), 7.92/1.43 inference(avatar_split_clause,[],[f8671,f7817,f432,f237,f8690,f217,f8686,f212])). 7.92/1.43 fof(f237,plain,( 7.92/1.43 spl5_7 <=> p(c_2Ebool_2EF)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_7])])). 7.92/1.43 fof(f432,plain,( 7.92/1.43 spl5_38 <=> ! [X7] : (~mem(X7,bool) | c_2Ebool_2ET = X7 | ~p(X7))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_38])])). 7.92/1.43 fof(f7817,plain,( 7.92/1.43 spl5_535 <=> c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_535])])). 7.92/1.43 fof(f8671,plain,( 7.92/1.43 p(c_2Ebool_2EF) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK1),bool) | ~mem(sK2,ty_2Eextreal_2Eextreal) | c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK1) | ~mem(sK1,ty_2Eextreal_2Eextreal) | (~spl5_38 | ~spl5_535)), 7.92/1.43 inference(superposition,[],[f1203,f7819])). 7.92/1.43 fof(f7819,plain,( 7.92/1.43 c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | ~spl5_535), 7.92/1.43 inference(avatar_component_clause,[],[f7817])). 7.92/1.43 fof(f1203,plain,( 7.92/1.43 ( ! [X8,X9] : (p(ap(ap(c_2Eextreal_2Eextreal__le,X9),X8)) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,X8),X9),bool) | ~mem(X8,ty_2Eextreal_2Eextreal) | c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,X8),X9) | ~mem(X9,ty_2Eextreal_2Eextreal)) ) | ~spl5_38), 7.92/1.43 inference(resolution,[],[f433,f184])). 7.92/1.43 fof(f184,plain,( 7.92/1.43 ( ! [X0,X1] : (p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) | ~mem(X1,ty_2Eextreal_2Eextreal) | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) | ~mem(X0,ty_2Eextreal_2Eextreal)) )), 7.92/1.43 inference(cnf_transformation,[],[f110])). 7.92/1.43 fof(f110,plain,( 7.92/1.43 ! [X0] : (! [X1] : (p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) | ~mem(X1,ty_2Eextreal_2Eextreal)) | ~mem(X0,ty_2Eextreal_2Eextreal))), 7.92/1.43 inference(flattening,[],[f109])). 7.92/1.43 fof(f109,plain,( 7.92/1.43 ! [X0] : (! [X1] : ((p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))) | ~mem(X1,ty_2Eextreal_2Eextreal)) | ~mem(X0,ty_2Eextreal_2Eextreal))), 7.92/1.43 inference(ennf_transformation,[],[f68])). 7.92/1.43 fof(f68,plain,( 7.92/1.43 ! [X0] : (mem(X0,ty_2Eextreal_2Eextreal) => ! [X1] : (mem(X1,ty_2Eextreal_2Eextreal) => (p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)))))), 7.92/1.43 inference(rectify,[],[f55])). 7.92/1.43 fof(f55,axiom,( 7.92/1.43 ! [X9] : (mem(X9,ty_2Eextreal_2Eextreal) => ! [X10] : (mem(X10,ty_2Eextreal_2Eextreal) => (p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X9)) | p(ap(ap(c_2Eextreal_2Eextreal__le,X9),X10)))))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total)). 7.92/1.43 fof(f433,plain,( 7.92/1.43 ( ! [X7] : (~p(X7) | c_2Ebool_2ET = X7 | ~mem(X7,bool)) ) | ~spl5_38), 7.92/1.43 inference(avatar_component_clause,[],[f432])). 7.92/1.43 fof(f8474,plain,( 7.92/1.43 c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) != ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | sK2 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK2) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)),sK0),sK2) != ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) | sK1 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK1) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)),sK0),sK1) != ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1) | sK2 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK2),sK1) | c_2Ebool_2ET != sK3(bool,c_2Ebool_2E_7E) | c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | c_2Ebool_2EF = sK3(bool,c_2Ebool_2E_7E)), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8472,plain,( 7.92/1.43 c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2) | c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1) | sK2 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK2),sK1) | c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) != ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2)), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8469,plain,( 7.92/1.43 c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1) | sK1 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK2),sK1) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)),sK0),sK1) != ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0) | sK1 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK1) | ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2))), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8468,plain,( 7.92/1.43 c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1) | sK1 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK2),sK1) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1) | sK0 = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8457,plain,( 7.92/1.43 c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | sK2 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK2),sK1) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2) | ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2) | sK0 = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8434,plain,( 7.92/1.43 sK0 != ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | p(c_2Ebool_2EF) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)))), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8429,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | sK0 != ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | p(c_2Ebool_2EF) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)))), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8415,plain,( 7.92/1.43 c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | sK1 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK2),sK1) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) != ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | c_2Ebool_2ET != sK3(bool,c_2Ebool_2E_7E) | c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | c_2Ebool_2EF = sK3(bool,c_2Ebool_2E_7E)), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f8318,plain,( 7.92/1.43 spl5_535 | spl5_581 | ~spl5_31 | ~spl5_38 | ~spl5_534), 7.92/1.43 inference(avatar_split_clause,[],[f8276,f7813,f432,f392,f8315,f7817])). 7.92/1.43 fof(f8315,plain,( 7.92/1.43 spl5_581 <=> c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_581])])). 7.92/1.43 fof(f392,plain,( 7.92/1.43 spl5_31 <=> ! [X0] : (~mem(X0,bool) | c_2Ebool_2EF = X0 | p(X0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_31])])). 7.92/1.43 fof(f7813,plain,( 7.92/1.43 spl5_534 <=> mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2),bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_534])])). 7.92/1.43 fof(f8276,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | (~spl5_31 | ~spl5_38 | ~spl5_534)), 7.92/1.43 inference(resolution,[],[f7814,f1218])). 7.92/1.43 fof(f1218,plain,( 7.92/1.43 ( ! [X25] : (~mem(X25,bool) | c_2Ebool_2ET = X25 | c_2Ebool_2EF = X25) ) | (~spl5_31 | ~spl5_38)), 7.92/1.43 inference(duplicate_literal_removal,[],[f1215])). 7.92/1.43 fof(f1215,plain,( 7.92/1.43 ( ! [X25] : (c_2Ebool_2ET = X25 | ~mem(X25,bool) | c_2Ebool_2EF = X25 | ~mem(X25,bool)) ) | (~spl5_31 | ~spl5_38)), 7.92/1.43 inference(resolution,[],[f433,f393])). 7.92/1.43 fof(f393,plain,( 7.92/1.43 ( ! [X0] : (p(X0) | c_2Ebool_2EF = X0 | ~mem(X0,bool)) ) | ~spl5_31), 7.92/1.43 inference(avatar_component_clause,[],[f392])). 7.92/1.43 fof(f7814,plain,( 7.92/1.43 mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2),bool) | ~spl5_534), 7.92/1.43 inference(avatar_component_clause,[],[f7813])). 7.92/1.43 fof(f8070,plain,( 7.92/1.43 spl5_44 | spl5_46 | ~spl5_31 | ~spl5_37 | ~spl5_38), 7.92/1.43 inference(avatar_split_clause,[],[f3411,f432,f427,f392,f557,f518])). 7.92/1.43 fof(f518,plain,( 7.92/1.43 spl5_44 <=> c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_44])])). 7.92/1.43 fof(f557,plain,( 7.92/1.43 spl5_46 <=> c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_46])])). 7.92/1.43 fof(f427,plain,( 7.92/1.43 spl5_37 <=> mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0),bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_37])])). 7.92/1.43 fof(f3411,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | (~spl5_31 | ~spl5_37 | ~spl5_38)), 7.92/1.43 inference(resolution,[],[f1218,f428])). 7.92/1.43 fof(f428,plain,( 7.92/1.43 mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0),bool) | ~spl5_37), 7.92/1.43 inference(avatar_component_clause,[],[f427])). 7.92/1.43 fof(f7941,plain,( 7.92/1.43 spl5_41 | spl5_40 | ~spl5_31 | ~spl5_35 | ~spl5_38), 7.92/1.43 inference(avatar_split_clause,[],[f3410,f432,f419,f392,f486,f493])). 7.92/1.43 fof(f493,plain,( 7.92/1.43 spl5_41 <=> c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_41])])). 7.92/1.43 fof(f419,plain,( 7.92/1.43 spl5_35 <=> mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0),bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_35])])). 7.92/1.43 fof(f3410,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | (~spl5_31 | ~spl5_35 | ~spl5_38)), 7.92/1.43 inference(resolution,[],[f1218,f420])). 7.92/1.43 fof(f420,plain,( 7.92/1.43 mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0),bool) | ~spl5_35), 7.92/1.43 inference(avatar_component_clause,[],[f419])). 7.92/1.43 fof(f7853,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1) | sK2 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK2) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)),sK0),sK2) != ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) | ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2) | sK0 != ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2) | c_2Ebool_2EF != ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | c_2Ebool_2ET != ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | c_2Ebool_2ET != sK3(bool,c_2Ebool_2E_7E) | c_2Ebool_2EF = sK3(bool,c_2Ebool_2E_7E)), 7.92/1.43 introduced(theory_tautology_sat_conflict,[])). 7.92/1.43 fof(f7832,plain,( 7.92/1.43 ~spl5_3 | ~spl5_2 | ~spl5_19 | spl5_534), 7.92/1.43 inference(avatar_split_clause,[],[f7830,f7813,f297,f212,f217])). 7.92/1.43 fof(f7830,plain,( 7.92/1.43 ~mem(sK1,ty_2Eextreal_2Eextreal) | ~mem(sK2,ty_2Eextreal_2Eextreal) | (~spl5_19 | spl5_534)), 7.92/1.43 inference(resolution,[],[f7828,f299])). 7.92/1.43 fof(f7828,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(c_2Eextreal_2Eextreal__le,arr(X1,arr(X0,bool))) | ~mem(sK1,X1) | ~mem(sK2,X0)) ) | spl5_534), 7.92/1.43 inference(resolution,[],[f7821,f201])). 7.92/1.43 fof(f7821,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(c_2Eextreal_2Eextreal__le,sK1),arr(X0,bool)) | ~mem(sK2,X0)) ) | spl5_534), 7.92/1.43 inference(resolution,[],[f7815,f201])). 7.92/1.43 fof(f7815,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2),bool) | spl5_534), 7.92/1.43 inference(avatar_component_clause,[],[f7813])). 7.92/1.43 fof(f7820,plain,( 7.92/1.43 ~spl5_534 | ~spl5_3 | spl5_535 | ~spl5_11 | ~spl5_41 | ~spl5_42 | ~spl5_46 | ~spl5_78), 7.92/1.43 inference(avatar_split_clause,[],[f7792,f913,f557,f498,f493,f257,f7817,f217,f7813])). 7.92/1.43 fof(f498,plain,( 7.92/1.43 spl5_42 <=> ! [X0] : (~mem(X0,bool) | ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) = X0 | p(X0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_42])])). 7.92/1.43 fof(f913,plain,( 7.92/1.43 spl5_78 <=> ! [X1] : (~mem(X1,ty_2Eextreal_2Eextreal) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK0)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),X1)))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_78])])). 7.92/1.43 fof(f7792,plain,( 7.92/1.43 ~p(c_2Ebool_2ET) | c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2) | ~mem(sK2,ty_2Eextreal_2Eextreal) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2),bool) | (~spl5_41 | ~spl5_42 | ~spl5_46 | ~spl5_78)), 7.92/1.43 inference(superposition,[],[f3038,f559])). 7.92/1.43 fof(f559,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | ~spl5_46), 7.92/1.43 inference(avatar_component_clause,[],[f557])). 7.92/1.43 fof(f3038,plain,( 7.92/1.43 ( ! [X7] : (~p(ap(ap(c_2Eextreal_2Eextreal__le,X7),sK0)) | c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),X7) | ~mem(X7,ty_2Eextreal_2Eextreal) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),X7),bool)) ) | (~spl5_41 | ~spl5_42 | ~spl5_78)), 7.92/1.43 inference(forward_demodulation,[],[f3024,f495])). 7.92/1.43 fof(f495,plain,( 7.92/1.43 c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | ~spl5_41), 7.92/1.43 inference(avatar_component_clause,[],[f493])). 7.92/1.43 fof(f3024,plain,( 7.92/1.43 ( ! [X7] : (~p(ap(ap(c_2Eextreal_2Eextreal__le,X7),sK0)) | ~mem(X7,ty_2Eextreal_2Eextreal) | ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) = ap(ap(c_2Eextreal_2Eextreal__le,sK1),X7) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),X7),bool)) ) | (~spl5_42 | ~spl5_78)), 7.92/1.43 inference(resolution,[],[f914,f499])). 7.92/1.43 fof(f499,plain,( 7.92/1.43 ( ! [X0] : (p(X0) | ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) = X0 | ~mem(X0,bool)) ) | ~spl5_42), 7.92/1.43 inference(avatar_component_clause,[],[f498])). 7.92/1.43 fof(f914,plain,( 7.92/1.43 ( ! [X1] : (~p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),X1)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK0)) | ~mem(X1,ty_2Eextreal_2Eextreal)) ) | ~spl5_78), 7.92/1.43 inference(avatar_component_clause,[],[f913])). 7.92/1.43 fof(f5495,plain,( 7.92/1.43 spl5_415 | ~spl5_82 | ~spl5_408 | ~spl5_412), 7.92/1.43 inference(avatar_split_clause,[],[f5494,f5466,f5375,f1087,f5490])). 7.92/1.43 fof(f5490,plain,( 7.92/1.43 spl5_415 <=> sK0 = ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_415])])). 7.92/1.43 fof(f1087,plain,( 7.92/1.43 spl5_82 <=> ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_82])])). 7.92/1.43 fof(f5375,plain,( 7.92/1.43 spl5_408 <=> sK0 = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_408])])). 7.92/1.43 fof(f5466,plain,( 7.92/1.43 spl5_412 <=> ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_412])])). 7.92/1.43 fof(f5494,plain,( 7.92/1.43 sK0 = ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) | (~spl5_82 | ~spl5_408 | ~spl5_412)), 7.92/1.43 inference(forward_demodulation,[],[f5485,f5377])). 7.92/1.43 fof(f5377,plain,( 7.92/1.43 sK0 = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | ~spl5_408), 7.92/1.43 inference(avatar_component_clause,[],[f5375])). 7.92/1.43 fof(f5485,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | (~spl5_82 | ~spl5_412)), 7.92/1.43 inference(superposition,[],[f1089,f5468])). 7.92/1.43 fof(f5468,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ~spl5_412), 7.92/1.43 inference(avatar_component_clause,[],[f5466])). 7.92/1.43 fof(f1089,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | ~spl5_82), 7.92/1.43 inference(avatar_component_clause,[],[f1087])). 7.92/1.43 fof(f5469,plain,( 7.92/1.43 spl5_412 | ~spl5_1 | ~spl5_9 | ~spl5_47), 7.92/1.43 inference(avatar_split_clause,[],[f5455,f622,f247,f207,f5466])). 7.92/1.43 fof(f207,plain,( 7.92/1.43 spl5_1 <=> mem(sK0,ty_2Eextreal_2Eextreal)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_1])])). 7.92/1.43 fof(f247,plain,( 7.92/1.43 spl5_9 <=> ne(ty_2Eextreal_2Eextreal)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_9])])). 7.92/1.43 fof(f622,plain,( 7.92/1.43 spl5_47 <=> mem(ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2),ty_2Eextreal_2Eextreal)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_47])])). 7.92/1.43 fof(f5455,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | (~spl5_1 | ~spl5_9 | ~spl5_47)), 7.92/1.43 inference(resolution,[],[f1786,f209])). 7.92/1.43 fof(f209,plain,( 7.92/1.43 mem(sK0,ty_2Eextreal_2Eextreal) | ~spl5_1), 7.92/1.43 inference(avatar_component_clause,[],[f207])). 7.92/1.43 fof(f1786,plain,( 7.92/1.43 ( ! [X0] : (~mem(X0,ty_2Eextreal_2Eextreal) | ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2))) ) | (~spl5_9 | ~spl5_47)), 7.92/1.43 inference(resolution,[],[f603,f623])). 7.92/1.43 fof(f623,plain,( 7.92/1.43 mem(ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2),ty_2Eextreal_2Eextreal) | ~spl5_47), 7.92/1.43 inference(avatar_component_clause,[],[f622])). 7.92/1.43 fof(f603,plain,( 7.92/1.43 ( ! [X8,X9] : (~mem(X9,ty_2Eextreal_2Eextreal) | ~mem(X8,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X8),X9) = X9) ) | ~spl5_9), 7.92/1.43 inference(resolution,[],[f176,f249])). 7.92/1.43 fof(f249,plain,( 7.92/1.43 ne(ty_2Eextreal_2Eextreal) | ~spl5_9), 7.92/1.43 inference(avatar_component_clause,[],[f247])). 7.92/1.43 fof(f176,plain,( 7.92/1.43 ( ! [X2,X0,X1] : (~ne(X0) | ~mem(X1,X0) | ~mem(X2,X0) | ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2) )), 7.92/1.43 inference(cnf_transformation,[],[f104])). 7.92/1.43 fof(f104,plain,( 7.92/1.43 ! [X0] : (! [X1] : (! [X2] : ((ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 & ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2) | ~mem(X2,X0)) | ~mem(X1,X0)) | ~ne(X0))), 7.92/1.43 inference(ennf_transformation,[],[f63])). 7.92/1.43 fof(f63,plain,( 7.92/1.43 ! [X0] : (ne(X0) => ! [X1] : (mem(X1,X0) => ! [X2] : (mem(X2,X0) => (ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 & ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2))))), 7.92/1.43 inference(rectify,[],[f26])). 7.92/1.43 fof(f26,axiom,( 7.92/1.43 ! [X13] : (ne(X13) => ! [X20] : (mem(X20,X13) => ! [X21] : (mem(X21,X13) => (ap(ap(ap(c_2Ebool_2ECOND(X13),c_2Ebool_2ET),X20),X21) = X20 & ap(ap(ap(c_2Ebool_2ECOND(X13),c_2Ebool_2EF),X20),X21) = X21))))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ECOND__CLAUSES)). 7.92/1.43 fof(f5044,plain,( 7.92/1.43 spl5_7 | ~spl5_12 | spl5_369), 7.92/1.43 inference(avatar_split_clause,[],[f5036,f4963,f262,f237])). 7.92/1.43 fof(f262,plain,( 7.92/1.43 spl5_12 <=> mem(c_2Ebool_2EF,bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_12])])). 7.92/1.43 fof(f4963,plain,( 7.92/1.43 spl5_369 <=> p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_369])])). 7.92/1.43 fof(f5036,plain,( 7.92/1.43 ~mem(c_2Ebool_2EF,bool) | p(c_2Ebool_2EF) | spl5_369), 7.92/1.43 inference(resolution,[],[f4965,f187])). 7.92/1.43 fof(f187,plain,( 7.92/1.43 ( ! [X0] : (p(ap(c_2Ebool_2E_7E,X0)) | ~mem(X0,bool) | p(X0)) )), 7.92/1.43 inference(cnf_transformation,[],[f127])). 7.92/1.43 fof(f127,plain,( 7.92/1.43 ! [X0] : ((~p(X0) <=> p(ap(c_2Ebool_2E_7E,X0))) | ~mem(X0,bool))), 7.92/1.43 inference(ennf_transformation,[],[f78])). 7.92/1.43 fof(f78,plain,( 7.92/1.43 ! [X0] : (mem(X0,bool) => (~p(X0) <=> p(ap(c_2Ebool_2E_7E,X0))))), 7.92/1.43 inference(rectify,[],[f31])). 7.92/1.43 fof(f31,axiom,( 7.92/1.43 ! [X6] : (mem(X6,bool) => (~p(X6) <=> p(ap(c_2Ebool_2E_7E,X6))))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_neg_p)). 7.92/1.43 fof(f4965,plain,( 7.92/1.43 ~p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) | spl5_369), 7.92/1.43 inference(avatar_component_clause,[],[f4963])). 7.92/1.43 fof(f5034,plain,( 7.92/1.43 spl5_351 | ~spl5_14 | ~spl5_10 | ~spl5_369 | ~spl5_352), 7.92/1.43 inference(avatar_split_clause,[],[f5032,f4849,f4963,f252,f272,f4766])). 7.92/1.43 fof(f4766,plain,( 7.92/1.43 spl5_351 <=> ! [X0] : (~mem(X0,bool) | ~p(X0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_351])])). 7.92/1.43 fof(f272,plain,( 7.92/1.43 spl5_14 <=> mem(c_2Ebool_2E_7E,arr(bool,bool))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_14])])). 7.92/1.43 fof(f252,plain,( 7.92/1.43 spl5_10 <=> ne(bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_10])])). 7.92/1.43 fof(f4849,plain,( 7.92/1.43 spl5_352 <=> c_2Ebool_2EF = sK3(bool,c_2Ebool_2E_7E)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_352])])). 7.92/1.43 fof(f5032,plain,( 7.92/1.43 ( ! [X0] : (~p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) | ~ne(bool) | ~mem(c_2Ebool_2E_7E,arr(bool,bool)) | ~mem(X0,bool) | ~p(X0)) ) | ~spl5_352), 7.92/1.43 inference(duplicate_literal_removal,[],[f5031])). 7.92/1.43 fof(f5031,plain,( 7.92/1.43 ( ! [X0] : (~p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) | ~ne(bool) | ~mem(c_2Ebool_2E_7E,arr(bool,bool)) | ~mem(X0,bool) | ~p(X0) | ~mem(X0,bool)) ) | ~spl5_352), 7.92/1.43 inference(superposition,[],[f2058,f4851])). 7.92/1.43 fof(f4851,plain,( 7.92/1.43 c_2Ebool_2EF = sK3(bool,c_2Ebool_2E_7E) | ~spl5_352), 7.92/1.43 inference(avatar_component_clause,[],[f4849])). 7.92/1.43 fof(f2058,plain,( 7.92/1.43 ( ! [X0,X1] : (~p(ap(c_2Ebool_2E_7E,sK3(X1,c_2Ebool_2E_7E))) | ~ne(X1) | ~mem(c_2Ebool_2E_7E,arr(X1,bool)) | ~mem(X0,bool) | ~p(X0) | ~mem(X0,X1)) )), 7.92/1.43 inference(duplicate_literal_removal,[],[f2050])). 7.92/1.43 fof(f2050,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(X0,X1) | ~ne(X1) | ~mem(c_2Ebool_2E_7E,arr(X1,bool)) | ~mem(X0,bool) | ~p(X0) | ~mem(c_2Ebool_2E_7E,arr(X1,bool)) | ~p(ap(c_2Ebool_2E_7E,sK3(X1,c_2Ebool_2E_7E))) | ~ne(X1)) )), 7.92/1.43 inference(resolution,[],[f666,f182])). 7.92/1.43 fof(f182,plain,( 7.92/1.43 ( ! [X0,X1] : (p(ap(c_2Ebool_2E_21(X0),X1)) | ~mem(X1,arr(X0,bool)) | ~p(ap(X1,sK3(X0,X1))) | ~ne(X0)) )), 7.92/1.43 inference(cnf_transformation,[],[f107])). 7.92/1.43 fof(f107,plain,( 7.92/1.43 ! [X0] : (! [X1] : ((p(ap(c_2Ebool_2E_21(X0),X1)) <=> ! [X2] : (p(ap(X1,X2)) | ~mem(X2,X0))) | ~mem(X1,arr(X0,bool))) | ~ne(X0))), 7.92/1.43 inference(ennf_transformation,[],[f66])). 7.92/1.43 fof(f66,plain,( 7.92/1.43 ! [X0] : (ne(X0) => ! [X1] : (mem(X1,arr(X0,bool)) => (p(ap(c_2Ebool_2E_21(X0),X1)) <=> ! [X2] : (mem(X2,X0) => p(ap(X1,X2))))))), 7.92/1.43 inference(rectify,[],[f43])). 7.92/1.43 fof(f43,axiom,( 7.92/1.43 ! [X0] : (ne(X0) => ! [X6] : (mem(X6,arr(X0,bool)) => (p(ap(c_2Ebool_2E_21(X0),X6)) <=> ! [X4] : (mem(X4,X0) => p(ap(X6,X4))))))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_all_p)). 7.92/1.43 fof(f666,plain,( 7.92/1.43 ( ! [X16,X17] : (~p(ap(c_2Ebool_2E_21(X16),c_2Ebool_2E_7E)) | ~mem(X17,X16) | ~ne(X16) | ~mem(c_2Ebool_2E_7E,arr(X16,bool)) | ~mem(X17,bool) | ~p(X17)) )), 7.92/1.43 inference(resolution,[],[f180,f186])). 7.92/1.43 fof(f186,plain,( 7.92/1.43 ( ! [X0] : (~p(ap(c_2Ebool_2E_7E,X0)) | ~mem(X0,bool) | ~p(X0)) )), 7.92/1.43 inference(cnf_transformation,[],[f127])). 7.92/1.43 fof(f180,plain,( 7.92/1.43 ( ! [X2,X0,X1] : (p(ap(X1,X2)) | ~mem(X1,arr(X0,bool)) | ~mem(X2,X0) | ~ne(X0) | ~p(ap(c_2Ebool_2E_21(X0),X1))) )), 7.92/1.43 inference(cnf_transformation,[],[f107])). 7.92/1.43 fof(f4856,plain,( 7.92/1.43 spl5_352 | spl5_353 | ~spl5_31 | ~spl5_38 | ~spl5_350), 7.92/1.43 inference(avatar_split_clause,[],[f4821,f4762,f432,f392,f4853,f4849])). 7.92/1.43 fof(f4853,plain,( 7.92/1.43 spl5_353 <=> c_2Ebool_2ET = sK3(bool,c_2Ebool_2E_7E)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_353])])). 7.92/1.43 fof(f4762,plain,( 7.92/1.43 spl5_350 <=> mem(sK3(bool,c_2Ebool_2E_7E),bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_350])])). 7.92/1.43 fof(f4821,plain,( 7.92/1.43 c_2Ebool_2ET = sK3(bool,c_2Ebool_2E_7E) | c_2Ebool_2EF = sK3(bool,c_2Ebool_2E_7E) | (~spl5_31 | ~spl5_38 | ~spl5_350)), 7.92/1.43 inference(resolution,[],[f4764,f1218])). 7.92/1.43 fof(f4764,plain,( 7.92/1.43 mem(sK3(bool,c_2Ebool_2E_7E),bool) | ~spl5_350), 7.92/1.43 inference(avatar_component_clause,[],[f4762])). 7.92/1.43 fof(f4818,plain,( 7.92/1.43 ~spl5_13 | ~spl5_11 | ~spl5_351), 7.92/1.43 inference(avatar_split_clause,[],[f4799,f4766,f257,f267])). 7.92/1.43 fof(f267,plain,( 7.92/1.43 spl5_13 <=> mem(c_2Ebool_2ET,bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_13])])). 7.92/1.43 fof(f4799,plain,( 7.92/1.43 ~mem(c_2Ebool_2ET,bool) | (~spl5_11 | ~spl5_351)), 7.92/1.43 inference(resolution,[],[f4767,f259])). 7.92/1.43 fof(f259,plain,( 7.92/1.43 p(c_2Ebool_2ET) | ~spl5_11), 7.92/1.43 inference(avatar_component_clause,[],[f257])). 7.92/1.43 fof(f4767,plain,( 7.92/1.43 ( ! [X0] : (~p(X0) | ~mem(X0,bool)) ) | ~spl5_351), 7.92/1.43 inference(avatar_component_clause,[],[f4766])). 7.92/1.43 fof(f4768,plain,( 7.92/1.43 spl5_350 | spl5_351 | ~spl5_10 | ~spl5_14), 7.92/1.43 inference(avatar_split_clause,[],[f4760,f272,f252,f4766,f4762])). 7.92/1.43 fof(f4760,plain,( 7.92/1.43 ( ! [X0] : (~ne(bool) | ~mem(X0,bool) | ~p(X0) | mem(sK3(bool,c_2Ebool_2E_7E),bool)) ) | ~spl5_14), 7.92/1.43 inference(duplicate_literal_removal,[],[f4759])). 7.92/1.43 fof(f4759,plain,( 7.92/1.43 ( ! [X0] : (~ne(bool) | ~mem(X0,bool) | ~mem(X0,bool) | ~p(X0) | mem(sK3(bool,c_2Ebool_2E_7E),bool)) ) | ~spl5_14), 7.92/1.43 inference(resolution,[],[f2057,f274])). 7.92/1.43 fof(f274,plain,( 7.92/1.43 mem(c_2Ebool_2E_7E,arr(bool,bool)) | ~spl5_14), 7.92/1.43 inference(avatar_component_clause,[],[f272])). 7.92/1.43 fof(f2057,plain,( 7.92/1.43 ( ! [X2,X3] : (~mem(c_2Ebool_2E_7E,arr(X3,bool)) | ~ne(X3) | ~mem(X2,X3) | ~mem(X2,bool) | ~p(X2) | mem(sK3(X3,c_2Ebool_2E_7E),X3)) )), 7.92/1.43 inference(duplicate_literal_removal,[],[f2051])). 7.92/1.43 fof(f2051,plain,( 7.92/1.43 ( ! [X2,X3] : (~mem(X2,X3) | ~ne(X3) | ~mem(c_2Ebool_2E_7E,arr(X3,bool)) | ~mem(X2,bool) | ~p(X2) | ~mem(c_2Ebool_2E_7E,arr(X3,bool)) | mem(sK3(X3,c_2Ebool_2E_7E),X3) | ~ne(X3)) )), 7.92/1.43 inference(resolution,[],[f666,f181])). 7.92/1.43 fof(f181,plain,( 7.92/1.43 ( ! [X0,X1] : (p(ap(c_2Ebool_2E_21(X0),X1)) | ~mem(X1,arr(X0,bool)) | mem(sK3(X0,X1),X0) | ~ne(X0)) )), 7.92/1.43 inference(cnf_transformation,[],[f107])). 7.92/1.43 fof(f3613,plain,( 7.92/1.43 spl5_263 | ~spl5_1 | ~spl5_9 | ~spl5_47), 7.92/1.43 inference(avatar_split_clause,[],[f3599,f622,f247,f207,f3610])). 7.92/1.43 fof(f3610,plain,( 7.92/1.43 spl5_263 <=> sK0 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_263])])). 7.92/1.43 fof(f3599,plain,( 7.92/1.43 sK0 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | (~spl5_1 | ~spl5_9 | ~spl5_47)), 7.92/1.43 inference(resolution,[],[f1862,f209])). 7.92/1.43 fof(f1862,plain,( 7.92/1.43 ( ! [X0] : (~mem(X0,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) = X0) ) | (~spl5_9 | ~spl5_47)), 7.92/1.43 inference(resolution,[],[f612,f623])). 7.92/1.43 fof(f612,plain,( 7.92/1.43 ( ! [X8,X9] : (~mem(X9,ty_2Eextreal_2Eextreal) | ~mem(X8,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X8),X9) = X8) ) | ~spl5_9), 7.92/1.43 inference(resolution,[],[f177,f249])). 7.92/1.43 fof(f177,plain,( 7.92/1.43 ( ! [X2,X0,X1] : (~ne(X0) | ~mem(X1,X0) | ~mem(X2,X0) | ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1) )), 7.92/1.43 inference(cnf_transformation,[],[f104])). 7.92/1.43 fof(f2196,plain,( 7.92/1.43 spl5_180 | ~spl5_1 | ~spl5_3 | ~spl5_9), 7.92/1.43 inference(avatar_split_clause,[],[f2182,f247,f217,f207,f2193])). 7.92/1.43 fof(f2193,plain,( 7.92/1.43 spl5_180 <=> sK0 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_180])])). 7.92/1.43 fof(f2182,plain,( 7.92/1.43 sK0 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2) | (~spl5_1 | ~spl5_3 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f1865,f209])). 7.92/1.43 fof(f1865,plain,( 7.92/1.43 ( ! [X3] : (~mem(X3,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),sK2) = X3) ) | (~spl5_3 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f612,f219])). 7.92/1.43 fof(f219,plain,( 7.92/1.43 mem(sK2,ty_2Eextreal_2Eextreal) | ~spl5_3), 7.92/1.43 inference(avatar_component_clause,[],[f217])). 7.92/1.43 fof(f2167,plain,( 7.92/1.43 spl5_178 | ~spl5_2 | ~spl5_3 | ~spl5_9), 7.92/1.43 inference(avatar_split_clause,[],[f2145,f247,f217,f212,f2164])). 7.92/1.43 fof(f2164,plain,( 7.92/1.43 spl5_178 <=> sK2 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK2),sK1)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_178])])). 7.92/1.43 fof(f2145,plain,( 7.92/1.43 sK2 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK2),sK1) | (~spl5_2 | ~spl5_3 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f1864,f219])). 7.92/1.43 fof(f1864,plain,( 7.92/1.43 ( ! [X2] : (~mem(X2,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),sK1) = X2) ) | (~spl5_2 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f612,f214])). 7.92/1.43 fof(f214,plain,( 7.92/1.43 mem(sK1,ty_2Eextreal_2Eextreal) | ~spl5_2), 7.92/1.43 inference(avatar_component_clause,[],[f212])). 7.92/1.43 fof(f2157,plain,( 7.92/1.43 spl5_176 | ~spl5_1 | ~spl5_2 | ~spl5_9), 7.92/1.43 inference(avatar_split_clause,[],[f2143,f247,f212,f207,f2154])). 7.92/1.43 fof(f2154,plain,( 7.92/1.43 spl5_176 <=> sK0 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_176])])). 7.92/1.43 fof(f2143,plain,( 7.92/1.43 sK0 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1) | (~spl5_1 | ~spl5_2 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f1864,f209])). 7.92/1.43 fof(f1971,plain,( 7.92/1.43 spl5_164 | ~spl5_1 | ~spl5_3 | ~spl5_9), 7.92/1.43 inference(avatar_split_clause,[],[f1957,f247,f217,f207,f1968])). 7.92/1.43 fof(f1968,plain,( 7.92/1.43 spl5_164 <=> sK2 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK2)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_164])])). 7.92/1.43 fof(f1957,plain,( 7.92/1.43 sK2 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK2) | (~spl5_1 | ~spl5_3 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f1789,f209])). 7.92/1.43 fof(f1789,plain,( 7.92/1.43 ( ! [X3] : (~mem(X3,ty_2Eextreal_2Eextreal) | sK2 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X3),sK2)) ) | (~spl5_3 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f603,f219])). 7.92/1.43 fof(f1893,plain,( 7.92/1.43 spl5_158 | ~spl5_2 | ~spl5_3 | ~spl5_9), 7.92/1.43 inference(avatar_split_clause,[],[f1871,f247,f217,f212,f1890])). 7.92/1.43 fof(f1890,plain,( 7.92/1.43 spl5_158 <=> sK1 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK2),sK1)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_158])])). 7.92/1.43 fof(f1871,plain,( 7.92/1.43 sK1 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK2),sK1) | (~spl5_2 | ~spl5_3 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f1788,f219])). 7.92/1.43 fof(f1788,plain,( 7.92/1.43 ( ! [X2] : (~mem(X2,ty_2Eextreal_2Eextreal) | sK1 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X2),sK1)) ) | (~spl5_2 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f603,f214])). 7.92/1.43 fof(f1883,plain,( 7.92/1.43 spl5_156 | ~spl5_1 | ~spl5_2 | ~spl5_9), 7.92/1.43 inference(avatar_split_clause,[],[f1869,f247,f212,f207,f1880])). 7.92/1.43 fof(f1880,plain,( 7.92/1.43 spl5_156 <=> sK1 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK1)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_156])])). 7.92/1.43 fof(f1869,plain,( 7.92/1.43 sK1 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),sK1) | (~spl5_1 | ~spl5_2 | ~spl5_9)), 7.92/1.43 inference(resolution,[],[f1788,f209])). 7.92/1.43 fof(f1636,plain,( 7.92/1.43 ~spl5_3 | ~spl5_11 | ~spl5_46 | ~spl5_76), 7.92/1.43 inference(avatar_split_clause,[],[f1635,f894,f557,f257,f217])). 7.92/1.43 fof(f1635,plain,( 7.92/1.43 ~p(c_2Ebool_2ET) | ~mem(sK2,ty_2Eextreal_2Eextreal) | (~spl5_46 | ~spl5_76)), 7.92/1.43 inference(forward_demodulation,[],[f1634,f559])). 7.92/1.43 fof(f1634,plain,( 7.92/1.43 ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)) | ~mem(sK2,ty_2Eextreal_2Eextreal) | ~spl5_76), 7.92/1.43 inference(duplicate_literal_removal,[],[f1624])). 7.92/1.43 fof(f1624,plain,( 7.92/1.43 ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)) | ~mem(sK2,ty_2Eextreal_2Eextreal) | ~mem(sK2,ty_2Eextreal_2Eextreal) | ~spl5_76), 7.92/1.43 inference(resolution,[],[f895,f633])). 7.92/1.43 fof(f633,plain,( 7.92/1.43 ( ! [X0] : (p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0)) | ~mem(X0,ty_2Eextreal_2Eextreal)) )), 7.92/1.43 inference(duplicate_literal_removal,[],[f630])). 7.92/1.43 fof(f630,plain,( 7.92/1.43 ( ! [X0] : (p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0)) | ~mem(X0,ty_2Eextreal_2Eextreal) | ~mem(X0,ty_2Eextreal_2Eextreal)) )), 7.92/1.43 inference(factoring,[],[f184])). 7.92/1.43 fof(f1463,plain,( 7.92/1.43 spl5_121 | ~spl5_1 | ~spl5_3), 7.92/1.43 inference(avatar_split_clause,[],[f1082,f217,f207,f1460])). 7.92/1.43 fof(f1460,plain,( 7.92/1.43 spl5_121 <=> ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)),sK0),sK2) = ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_121])])). 7.92/1.43 fof(f1082,plain,( 7.92/1.43 ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)),sK0),sK2) = ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) | (~spl5_1 | ~spl5_3)), 7.92/1.43 inference(resolution,[],[f778,f219])). 7.92/1.43 fof(f778,plain,( 7.92/1.43 ( ! [X0] : (~mem(X0,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),sK0)),sK0),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),sK0)) ) | ~spl5_1), 7.92/1.43 inference(resolution,[],[f183,f209])). 7.92/1.43 fof(f183,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(X1,ty_2Eextreal_2Eextreal) | ~mem(X0,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) )), 7.92/1.43 inference(cnf_transformation,[],[f108])). 7.92/1.43 fof(f108,plain,( 7.92/1.43 ! [X0] : (! [X1] : (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) | ~mem(X1,ty_2Eextreal_2Eextreal)) | ~mem(X0,ty_2Eextreal_2Eextreal))), 7.92/1.43 inference(ennf_transformation,[],[f67])). 7.92/1.43 fof(f67,plain,( 7.92/1.43 ! [X0] : (mem(X0,ty_2Eextreal_2Eextreal) => ! [X1] : (mem(X1,ty_2Eextreal_2Eextreal) => ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))), 7.92/1.43 inference(rectify,[],[f35])). 7.92/1.43 fof(f35,axiom,( 7.92/1.43 ! [X9] : (mem(X9,ty_2Eextreal_2Eextreal) => ! [X10] : (mem(X10,ty_2Eextreal_2Eextreal) => ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X9),X10)),X10),X9) = ap(ap(c_2Eextreal_2Eextreal__max,X9),X10)))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__max__def)). 7.92/1.43 fof(f1378,plain,( 7.92/1.43 spl5_112 | ~spl5_1 | ~spl5_47), 7.92/1.43 inference(avatar_split_clause,[],[f1079,f622,f207,f1375])). 7.92/1.43 fof(f1375,plain,( 7.92/1.43 spl5_112 <=> ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_112])])). 7.92/1.43 fof(f1079,plain,( 7.92/1.43 ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | (~spl5_1 | ~spl5_47)), 7.92/1.43 inference(resolution,[],[f778,f623])). 7.92/1.43 fof(f1372,plain,( 7.92/1.43 spl5_111 | ~spl5_1 | ~spl5_2), 7.92/1.43 inference(avatar_split_clause,[],[f1081,f212,f207,f1369])). 7.92/1.43 fof(f1369,plain,( 7.92/1.43 spl5_111 <=> ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)),sK0),sK1) = ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_111])])). 7.92/1.43 fof(f1081,plain,( 7.92/1.43 ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)),sK0),sK1) = ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0) | (~spl5_1 | ~spl5_2)), 7.92/1.43 inference(resolution,[],[f778,f214])). 7.92/1.43 fof(f1259,plain,( 7.92/1.43 ~spl5_66 | spl5_99 | ~spl5_38 | ~spl5_49), 7.92/1.43 inference(avatar_split_clause,[],[f1210,f640,f432,f1256,f753])). 7.92/1.43 fof(f753,plain,( 7.92/1.43 spl5_66 <=> mem(ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2),bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_66])])). 7.92/1.43 fof(f1256,plain,( 7.92/1.43 spl5_99 <=> c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_99])])). 7.92/1.43 fof(f640,plain,( 7.92/1.43 spl5_49 <=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_49])])). 7.92/1.43 fof(f1210,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2),bool) | (~spl5_38 | ~spl5_49)), 7.92/1.43 inference(resolution,[],[f433,f642])). 7.92/1.43 fof(f642,plain,( 7.92/1.43 p(ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2)) | ~spl5_49), 7.92/1.43 inference(avatar_component_clause,[],[f640])). 7.92/1.43 fof(f1254,plain,( 7.92/1.43 ~spl5_3 | ~spl5_1 | ~spl5_19 | spl5_66), 7.92/1.43 inference(avatar_split_clause,[],[f1252,f753,f297,f207,f217])). 7.92/1.43 fof(f1252,plain,( 7.92/1.43 ~mem(sK0,ty_2Eextreal_2Eextreal) | ~mem(sK2,ty_2Eextreal_2Eextreal) | (~spl5_19 | spl5_66)), 7.92/1.43 inference(resolution,[],[f784,f299])). 7.92/1.43 fof(f784,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(c_2Eextreal_2Eextreal__le,arr(X1,arr(X0,bool))) | ~mem(sK0,X1) | ~mem(sK2,X0)) ) | spl5_66), 7.92/1.43 inference(resolution,[],[f777,f201])). 7.92/1.43 fof(f777,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(c_2Eextreal_2Eextreal__le,sK0),arr(X0,bool)) | ~mem(sK2,X0)) ) | spl5_66), 7.92/1.43 inference(resolution,[],[f755,f201])). 7.92/1.43 fof(f755,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2),bool) | spl5_66), 7.92/1.43 inference(avatar_component_clause,[],[f753])). 7.92/1.43 fof(f1167,plain,( 7.92/1.43 spl5_93 | ~spl5_2 | ~spl5_3), 7.92/1.43 inference(avatar_split_clause,[],[f1149,f217,f212,f1164])). 7.92/1.43 fof(f1164,plain,( 7.92/1.43 spl5_93 <=> ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_93])])). 7.92/1.43 fof(f1149,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK2)),sK2),sK1) | (~spl5_2 | ~spl5_3)), 7.92/1.43 inference(resolution,[],[f780,f214])). 7.92/1.43 fof(f780,plain,( 7.92/1.43 ( ! [X2] : (~mem(X2,ty_2Eextreal_2Eextreal) | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X2),sK2)),sK2),X2) = ap(ap(c_2Eextreal_2Eextreal__max,X2),sK2)) ) | ~spl5_3), 7.92/1.43 inference(resolution,[],[f183,f219])). 7.92/1.43 fof(f1107,plain,( 7.92/1.43 spl5_85 | ~spl5_1 | ~spl5_3 | ~spl5_46), 7.92/1.43 inference(avatar_split_clause,[],[f1102,f557,f217,f207,f1104])). 7.92/1.43 fof(f1104,plain,( 7.92/1.43 spl5_85 <=> ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_85])])). 7.92/1.43 fof(f1102,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK2),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK2) | (~spl5_1 | ~spl5_3 | ~spl5_46)), 7.92/1.43 inference(forward_demodulation,[],[f1082,f559])). 7.92/1.43 fof(f1101,plain,( 7.92/1.43 spl5_84 | ~spl5_1 | ~spl5_2 | ~spl5_40), 7.92/1.43 inference(avatar_split_clause,[],[f1096,f486,f212,f207,f1098])). 7.92/1.43 fof(f1098,plain,( 7.92/1.43 spl5_84 <=> ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_84])])). 7.92/1.43 fof(f1096,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK0),sK1) | (~spl5_1 | ~spl5_2 | ~spl5_40)), 7.92/1.43 inference(forward_demodulation,[],[f1081,f488])). 7.92/1.43 fof(f1090,plain,( 7.92/1.43 spl5_82 | ~spl5_1 | ~spl5_47 | ~spl5_67), 7.92/1.43 inference(avatar_split_clause,[],[f1085,f818,f622,f207,f1087])). 7.92/1.43 fof(f818,plain,( 7.92/1.43 spl5_67 <=> c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_67])])). 7.92/1.43 fof(f1085,plain,( 7.92/1.43 ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)) | (~spl5_1 | ~spl5_47 | ~spl5_67)), 7.92/1.43 inference(forward_demodulation,[],[f1079,f820])). 7.92/1.43 fof(f820,plain,( 7.92/1.43 c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | ~spl5_67), 7.92/1.43 inference(avatar_component_clause,[],[f818])). 7.92/1.43 fof(f1051,plain,( 7.92/1.43 ~spl5_13 | spl5_81 | ~spl5_11 | ~spl5_70), 7.92/1.43 inference(avatar_split_clause,[],[f1042,f835,f257,f1048,f267])). 7.92/1.43 fof(f1048,plain,( 7.92/1.43 spl5_81 <=> c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_81])])). 7.92/1.43 fof(f835,plain,( 7.92/1.43 spl5_70 <=> ! [X0] : (~mem(X0,bool) | ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) = X0 | ~p(X0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_70])])). 7.92/1.43 fof(f1042,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | ~mem(c_2Ebool_2ET,bool) | (~spl5_11 | ~spl5_70)), 7.92/1.43 inference(resolution,[],[f836,f259])). 7.92/1.43 fof(f836,plain,( 7.92/1.43 ( ! [X0] : (~p(X0) | ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) = X0 | ~mem(X0,bool)) ) | ~spl5_70), 7.92/1.43 inference(avatar_component_clause,[],[f835])). 7.92/1.43 fof(f915,plain,( 7.92/1.43 ~spl5_2 | ~spl5_1 | spl5_78 | spl5_7 | ~spl5_41), 7.92/1.43 inference(avatar_split_clause,[],[f908,f493,f237,f913,f207,f212])). 7.92/1.43 fof(f908,plain,( 7.92/1.43 ( ! [X1] : (p(c_2Ebool_2EF) | ~mem(X1,ty_2Eextreal_2Eextreal) | ~mem(sK0,ty_2Eextreal_2Eextreal) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),X1)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK0)) | ~mem(sK1,ty_2Eextreal_2Eextreal)) ) | ~spl5_41), 7.92/1.43 inference(superposition,[],[f185,f495])). 7.92/1.43 fof(f185,plain,( 7.92/1.43 ( ! [X2,X0,X1] : (p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) | ~mem(X1,ty_2Eextreal_2Eextreal) | ~mem(X2,ty_2Eextreal_2Eextreal) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) | ~mem(X0,ty_2Eextreal_2Eextreal)) )), 7.92/1.43 inference(cnf_transformation,[],[f112])). 7.92/1.43 fof(f112,plain,( 7.92/1.43 ! [X0] : (! [X1] : (! [X2] : (p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) | ~mem(X2,ty_2Eextreal_2Eextreal)) | ~mem(X1,ty_2Eextreal_2Eextreal)) | ~mem(X0,ty_2Eextreal_2Eextreal))), 7.92/1.43 inference(flattening,[],[f111])). 7.92/1.43 fof(f111,plain,( 7.92/1.43 ! [X0] : (! [X1] : (! [X2] : ((p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) | (~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)))) | ~mem(X2,ty_2Eextreal_2Eextreal)) | ~mem(X1,ty_2Eextreal_2Eextreal)) | ~mem(X0,ty_2Eextreal_2Eextreal))), 7.92/1.43 inference(ennf_transformation,[],[f69])). 7.92/1.43 fof(f69,plain,( 7.92/1.43 ! [X0] : (mem(X0,ty_2Eextreal_2Eextreal) => ! [X1] : (mem(X1,ty_2Eextreal_2Eextreal) => ! [X2] : (mem(X2,ty_2Eextreal_2Eextreal) => ((p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))) => p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))))))), 7.92/1.43 inference(rectify,[],[f14])). 7.92/1.43 fof(f14,axiom,( 7.92/1.43 ! [X9] : (mem(X9,ty_2Eextreal_2Eextreal) => ! [X10] : (mem(X10,ty_2Eextreal_2Eextreal) => ! [X11] : (mem(X11,ty_2Eextreal_2Eextreal) => ((p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X11)) & p(ap(ap(c_2Eextreal_2Eextreal__le,X9),X10))) => p(ap(ap(c_2Eextreal_2Eextreal__le,X9),X11))))))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans)). 7.92/1.43 fof(f896,plain,( 7.92/1.43 ~spl5_3 | ~spl5_1 | spl5_76 | spl5_7 | ~spl5_44), 7.92/1.43 inference(avatar_split_clause,[],[f889,f518,f237,f894,f207,f217])). 7.92/1.43 fof(f889,plain,( 7.92/1.43 ( ! [X1] : (p(c_2Ebool_2EF) | ~mem(X1,ty_2Eextreal_2Eextreal) | ~mem(sK0,ty_2Eextreal_2Eextreal) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),X1)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK0)) | ~mem(sK2,ty_2Eextreal_2Eextreal)) ) | ~spl5_44), 7.92/1.43 inference(superposition,[],[f185,f520])). 7.92/1.43 fof(f520,plain,( 7.92/1.43 c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | ~spl5_44), 7.92/1.43 inference(avatar_component_clause,[],[f518])). 7.92/1.43 fof(f837,plain,( 7.92/1.43 spl5_70 | ~spl5_33 | ~spl5_4), 7.92/1.43 inference(avatar_split_clause,[],[f833,f222,f399,f835])). 7.92/1.43 fof(f399,plain,( 7.92/1.43 spl5_33 <=> mem(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0),bool)), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_33])])). 7.92/1.43 fof(f222,plain,( 7.92/1.43 spl5_4 <=> p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_4])])). 7.92/1.43 fof(f833,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0),bool) | ~mem(X0,bool) | ~p(X0) | ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) = X0) ) | ~spl5_4), 7.92/1.43 inference(resolution,[],[f224,f189])). 7.92/1.43 fof(f189,plain,( 7.92/1.43 ( ! [X0,X1] : (~p(X1) | ~mem(X1,bool) | ~mem(X0,bool) | ~p(X0) | X0 = X1) )), 7.92/1.43 inference(cnf_transformation,[],[f133])). 7.92/1.43 fof(f133,plain,( 7.92/1.43 ! [X0] : (! [X1] : (X0 = X1 | (p(X0) <~> p(X1)) | ~mem(X1,bool)) | ~mem(X0,bool))), 7.92/1.43 inference(flattening,[],[f132])). 7.92/1.43 fof(f132,plain,( 7.92/1.43 ! [X0] : (! [X1] : ((X0 = X1 | (p(X0) <~> p(X1))) | ~mem(X1,bool)) | ~mem(X0,bool))), 7.92/1.43 inference(ennf_transformation,[],[f82])). 7.92/1.43 fof(f82,plain,( 7.92/1.43 ! [X0] : (mem(X0,bool) => ! [X1] : (mem(X1,bool) => ((p(X0) <=> p(X1)) => X0 = X1)))), 7.92/1.43 inference(rectify,[],[f8])). 7.92/1.43 fof(f8,axiom,( 7.92/1.43 ! [X6] : (mem(X6,bool) => ! [X7] : (mem(X7,bool) => ((p(X6) <=> p(X7)) => X6 = X7)))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext)). 7.92/1.43 fof(f224,plain,( 7.92/1.43 p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)) | ~spl5_4), 7.92/1.43 inference(avatar_component_clause,[],[f222])). 7.92/1.43 fof(f830,plain,( 7.92/1.43 ~spl5_1 | spl5_69 | ~spl5_47 | spl5_4), 7.92/1.43 inference(avatar_split_clause,[],[f763,f222,f622,f827,f207])). 7.92/1.43 fof(f827,plain,( 7.92/1.43 spl5_69 <=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_69])])). 7.92/1.43 fof(f763,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2),ty_2Eextreal_2Eextreal) | p(ap(ap(c_2Eextreal_2Eextreal__le,sK0),ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2))) | ~mem(sK0,ty_2Eextreal_2Eextreal) | spl5_4), 7.92/1.43 inference(resolution,[],[f223,f184])). 7.92/1.43 fof(f223,plain,( 7.92/1.43 ~p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0)) | spl5_4), 7.92/1.43 inference(avatar_component_clause,[],[f222])). 7.92/1.43 fof(f821,plain,( 7.92/1.43 ~spl5_33 | spl5_67 | spl5_4 | ~spl5_31), 7.92/1.43 inference(avatar_split_clause,[],[f765,f392,f222,f818,f399])). 7.92/1.43 fof(f765,plain,( 7.92/1.43 c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0),bool) | (spl5_4 | ~spl5_31)), 7.92/1.43 inference(resolution,[],[f223,f393])). 7.92/1.43 fof(f815,plain,( 7.92/1.43 ~spl5_3 | ~spl5_2 | ~spl5_18 | spl5_47), 7.92/1.43 inference(avatar_split_clause,[],[f813,f622,f292,f212,f217])). 7.92/1.43 fof(f292,plain,( 7.92/1.43 spl5_18 <=> mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_18])])). 7.92/1.43 fof(f813,plain,( 7.92/1.43 ~mem(sK1,ty_2Eextreal_2Eextreal) | ~mem(sK2,ty_2Eextreal_2Eextreal) | (~spl5_18 | spl5_47)), 7.92/1.43 inference(resolution,[],[f628,f294])). 7.92/1.43 fof(f294,plain,( 7.92/1.43 mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) | ~spl5_18), 7.92/1.43 inference(avatar_component_clause,[],[f292])). 7.92/1.43 fof(f628,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(c_2Eextreal_2Eextreal__max,arr(X1,arr(X0,ty_2Eextreal_2Eextreal))) | ~mem(sK1,X1) | ~mem(sK2,X0)) ) | spl5_47), 7.92/1.43 inference(resolution,[],[f627,f201])). 7.92/1.43 fof(f627,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(c_2Eextreal_2Eextreal__max,sK1),arr(X0,ty_2Eextreal_2Eextreal)) | ~mem(sK2,X0)) ) | spl5_47), 7.92/1.43 inference(resolution,[],[f624,f201])). 7.92/1.43 fof(f624,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2),ty_2Eextreal_2Eextreal) | spl5_47), 7.92/1.43 inference(avatar_component_clause,[],[f622])). 7.92/1.43 fof(f643,plain,( 7.92/1.43 ~spl5_1 | spl5_49 | ~spl5_3 | spl5_7 | ~spl5_44), 7.92/1.43 inference(avatar_split_clause,[],[f632,f518,f237,f217,f640,f207])). 7.92/1.43 fof(f632,plain,( 7.92/1.43 p(c_2Ebool_2EF) | ~mem(sK2,ty_2Eextreal_2Eextreal) | p(ap(ap(c_2Eextreal_2Eextreal__le,sK0),sK2)) | ~mem(sK0,ty_2Eextreal_2Eextreal) | ~spl5_44), 7.92/1.43 inference(superposition,[],[f184,f520])). 7.92/1.43 fof(f625,plain,( 7.92/1.43 ~spl5_1 | ~spl5_47 | ~spl5_19 | spl5_33), 7.92/1.43 inference(avatar_split_clause,[],[f620,f399,f297,f622,f207])). 7.92/1.43 fof(f620,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2),ty_2Eextreal_2Eextreal) | ~mem(sK0,ty_2Eextreal_2Eextreal) | (~spl5_19 | spl5_33)), 7.92/1.43 inference(resolution,[],[f595,f299])). 7.92/1.43 fof(f595,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(c_2Eextreal_2Eextreal__le,arr(X1,arr(X0,bool))) | ~mem(ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2),X1) | ~mem(sK0,X0)) ) | spl5_33), 7.92/1.43 inference(resolution,[],[f435,f201])). 7.92/1.43 fof(f435,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),arr(X0,bool)) | ~mem(sK0,X0)) ) | spl5_33), 7.92/1.43 inference(resolution,[],[f201,f401])). 7.92/1.43 fof(f401,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0),bool) | spl5_33), 7.92/1.43 inference(avatar_component_clause,[],[f399])). 7.92/1.43 fof(f560,plain,( 7.92/1.43 ~spl5_13 | spl5_46 | ~spl5_11 | ~spl5_36), 7.92/1.43 inference(avatar_split_clause,[],[f551,f424,f257,f557,f267])). 7.92/1.43 fof(f424,plain,( 7.92/1.43 spl5_36 <=> ! [X1] : (~mem(X1,bool) | ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) = X1 | ~p(X1))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_36])])). 7.92/1.43 fof(f551,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | ~mem(c_2Ebool_2ET,bool) | (~spl5_11 | ~spl5_36)), 7.92/1.43 inference(resolution,[],[f425,f259])). 7.92/1.43 fof(f425,plain,( 7.92/1.43 ( ! [X1] : (~p(X1) | ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) = X1 | ~mem(X1,bool)) ) | ~spl5_36), 7.92/1.43 inference(avatar_component_clause,[],[f424])). 7.92/1.43 fof(f521,plain,( 7.92/1.43 ~spl5_37 | spl5_44 | spl5_6 | ~spl5_31), 7.92/1.43 inference(avatar_split_clause,[],[f503,f392,f231,f518,f427])). 7.92/1.43 fof(f231,plain,( 7.92/1.43 spl5_6 <=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_6])])). 7.92/1.43 fof(f503,plain,( 7.92/1.43 c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0),bool) | (spl5_6 | ~spl5_31)), 7.92/1.43 inference(resolution,[],[f232,f393])). 7.92/1.43 fof(f232,plain,( 7.92/1.43 ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)) | spl5_6), 7.92/1.43 inference(avatar_component_clause,[],[f231])). 7.92/1.43 fof(f512,plain,( 7.92/1.43 ~spl5_1 | ~spl5_3 | ~spl5_19 | spl5_37), 7.92/1.43 inference(avatar_split_clause,[],[f510,f427,f297,f217,f207])). 7.92/1.43 fof(f510,plain,( 7.92/1.43 ~mem(sK2,ty_2Eextreal_2Eextreal) | ~mem(sK0,ty_2Eextreal_2Eextreal) | (~spl5_19 | spl5_37)), 7.92/1.43 inference(resolution,[],[f453,f299])). 7.92/1.43 fof(f453,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(c_2Eextreal_2Eextreal__le,arr(X1,arr(X0,bool))) | ~mem(sK2,X1) | ~mem(sK0,X0)) ) | spl5_37), 7.92/1.43 inference(resolution,[],[f437,f201])). 7.92/1.43 fof(f437,plain,( 7.92/1.43 ( ! [X2] : (~mem(ap(c_2Eextreal_2Eextreal__le,sK2),arr(X2,bool)) | ~mem(sK0,X2)) ) | spl5_37), 7.92/1.43 inference(resolution,[],[f201,f429])). 7.92/1.43 fof(f429,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0),bool) | spl5_37), 7.92/1.43 inference(avatar_component_clause,[],[f427])). 7.92/1.43 fof(f500,plain,( 7.92/1.43 spl5_42 | ~spl5_35 | spl5_5), 7.92/1.43 inference(avatar_split_clause,[],[f491,f226,f419,f498])). 7.92/1.43 fof(f226,plain,( 7.92/1.43 spl5_5 <=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_5])])). 7.92/1.43 fof(f491,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0),bool) | ~mem(X0,bool) | p(X0) | ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) = X0) ) | spl5_5), 7.92/1.43 inference(resolution,[],[f227,f188])). 7.92/1.43 fof(f188,plain,( 7.92/1.43 ( ! [X0,X1] : (p(X1) | ~mem(X1,bool) | ~mem(X0,bool) | p(X0) | X0 = X1) )), 7.92/1.43 inference(cnf_transformation,[],[f133])). 7.92/1.43 fof(f227,plain,( 7.92/1.43 ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)) | spl5_5), 7.92/1.43 inference(avatar_component_clause,[],[f226])). 7.92/1.43 fof(f496,plain,( 7.92/1.43 ~spl5_35 | spl5_41 | spl5_5 | ~spl5_31), 7.92/1.43 inference(avatar_split_clause,[],[f490,f392,f226,f493,f419])). 7.92/1.43 fof(f490,plain,( 7.92/1.43 c_2Ebool_2EF = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0),bool) | (spl5_5 | ~spl5_31)), 7.92/1.43 inference(resolution,[],[f227,f393])). 7.92/1.43 fof(f489,plain,( 7.92/1.43 ~spl5_13 | spl5_40 | ~spl5_11 | ~spl5_34), 7.92/1.43 inference(avatar_split_clause,[],[f480,f416,f257,f486,f267])). 7.92/1.43 fof(f416,plain,( 7.92/1.43 spl5_34 <=> ! [X0] : (~mem(X0,bool) | ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) = X0 | ~p(X0))), 7.92/1.43 introduced(avatar_definition,[new_symbols(naming,[spl5_34])])). 7.92/1.43 fof(f480,plain,( 7.92/1.43 c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) | ~mem(c_2Ebool_2ET,bool) | (~spl5_11 | ~spl5_34)), 7.92/1.43 inference(resolution,[],[f417,f259])). 7.92/1.43 fof(f417,plain,( 7.92/1.43 ( ! [X0] : (~p(X0) | ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) = X0 | ~mem(X0,bool)) ) | ~spl5_34), 7.92/1.43 inference(avatar_component_clause,[],[f416])). 7.92/1.43 fof(f463,plain,( 7.92/1.43 ~spl5_1 | ~spl5_2 | ~spl5_19 | spl5_35), 7.92/1.43 inference(avatar_split_clause,[],[f461,f419,f297,f212,f207])). 7.92/1.43 fof(f461,plain,( 7.92/1.43 ~mem(sK1,ty_2Eextreal_2Eextreal) | ~mem(sK0,ty_2Eextreal_2Eextreal) | (~spl5_19 | spl5_35)), 7.92/1.43 inference(resolution,[],[f452,f299])). 7.92/1.43 fof(f452,plain,( 7.92/1.43 ( ! [X0,X1] : (~mem(c_2Eextreal_2Eextreal__le,arr(X1,arr(X0,bool))) | ~mem(sK1,X1) | ~mem(sK0,X0)) ) | spl5_35), 7.92/1.43 inference(resolution,[],[f436,f201])). 7.92/1.43 fof(f436,plain,( 7.92/1.43 ( ! [X1] : (~mem(ap(c_2Eextreal_2Eextreal__le,sK1),arr(X1,bool)) | ~mem(sK0,X1)) ) | spl5_35), 7.92/1.43 inference(resolution,[],[f201,f421])). 7.92/1.43 fof(f421,plain,( 7.92/1.43 ~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0),bool) | spl5_35), 7.92/1.43 inference(avatar_component_clause,[],[f419])). 7.92/1.43 fof(f434,plain,( 7.92/1.43 spl5_38 | ~spl5_13 | ~spl5_11), 7.92/1.43 inference(avatar_split_clause,[],[f410,f257,f267,f432])). 7.92/1.43 fof(f410,plain,( 7.92/1.43 ( ! [X7] : (~mem(c_2Ebool_2ET,bool) | ~mem(X7,bool) | ~p(X7) | c_2Ebool_2ET = X7) ) | ~spl5_11), 7.92/1.43 inference(resolution,[],[f189,f259])). 7.92/1.43 fof(f430,plain,( 7.92/1.43 spl5_36 | ~spl5_37 | ~spl5_6), 7.92/1.43 inference(avatar_split_clause,[],[f407,f231,f427,f424])). 7.92/1.43 fof(f407,plain,( 7.92/1.43 ( ! [X1] : (~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0),bool) | ~mem(X1,bool) | ~p(X1) | ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0) = X1) ) | ~spl5_6), 7.92/1.43 inference(resolution,[],[f189,f233])). 7.92/1.43 fof(f233,plain,( 7.92/1.43 p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)) | ~spl5_6), 7.92/1.43 inference(avatar_component_clause,[],[f231])). 7.92/1.43 fof(f422,plain,( 7.92/1.43 spl5_34 | ~spl5_35 | ~spl5_5), 7.92/1.43 inference(avatar_split_clause,[],[f406,f226,f419,f416])). 7.92/1.43 fof(f406,plain,( 7.92/1.43 ( ! [X0] : (~mem(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0),bool) | ~mem(X0,bool) | ~p(X0) | ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0) = X0) ) | ~spl5_5), 7.92/1.43 inference(resolution,[],[f189,f228])). 7.92/1.43 fof(f228,plain,( 7.92/1.43 p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)) | ~spl5_5), 7.92/1.43 inference(avatar_component_clause,[],[f226])). 7.92/1.43 fof(f394,plain,( 7.92/1.43 spl5_31 | ~spl5_12 | spl5_7), 7.92/1.43 inference(avatar_split_clause,[],[f386,f237,f262,f392])). 7.92/1.43 fof(f386,plain,( 7.92/1.43 ( ! [X0] : (~mem(c_2Ebool_2EF,bool) | ~mem(X0,bool) | p(X0) | c_2Ebool_2EF = X0) ) | spl5_7), 7.92/1.43 inference(resolution,[],[f188,f239])). 7.92/1.43 fof(f239,plain,( 7.92/1.43 ~p(c_2Ebool_2EF) | spl5_7), 7.92/1.43 inference(avatar_component_clause,[],[f237])). 7.92/1.43 fof(f300,plain,( 7.92/1.43 spl5_19), 7.92/1.43 inference(avatar_split_clause,[],[f171,f297])). 7.92/1.43 fof(f171,plain,( 7.92/1.43 mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))), 7.92/1.43 inference(cnf_transformation,[],[f10])). 7.92/1.43 fof(f10,axiom,( 7.92/1.43 mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__le)). 7.92/1.43 fof(f295,plain,( 7.92/1.43 spl5_18), 7.92/1.43 inference(avatar_split_clause,[],[f170,f292])). 7.92/1.43 fof(f170,plain,( 7.92/1.43 mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))), 7.92/1.43 inference(cnf_transformation,[],[f49])). 7.92/1.43 fof(f49,axiom,( 7.92/1.43 mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max)). 7.92/1.43 fof(f275,plain,( 7.92/1.43 spl5_14), 7.92/1.43 inference(avatar_split_clause,[],[f166,f272])). 7.92/1.43 fof(f166,plain,( 7.92/1.43 mem(c_2Ebool_2E_7E,arr(bool,bool))), 7.92/1.43 inference(cnf_transformation,[],[f56])). 7.92/1.43 fof(f56,axiom,( 7.92/1.43 mem(c_2Ebool_2E_7E,arr(bool,bool))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E)). 7.92/1.43 fof(f270,plain,( 7.92/1.43 spl5_13), 7.92/1.43 inference(avatar_split_clause,[],[f165,f267])). 7.92/1.43 fof(f165,plain,( 7.92/1.43 mem(c_2Ebool_2ET,bool)), 7.92/1.43 inference(cnf_transformation,[],[f54])). 7.92/1.43 fof(f54,axiom,( 7.92/1.43 mem(c_2Ebool_2ET,bool)), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET)). 7.92/1.43 fof(f265,plain,( 7.92/1.43 spl5_12), 7.92/1.43 inference(avatar_split_clause,[],[f164,f262])). 7.92/1.43 fof(f164,plain,( 7.92/1.43 mem(c_2Ebool_2EF,bool)), 7.92/1.43 inference(cnf_transformation,[],[f40])). 7.92/1.43 fof(f40,axiom,( 7.92/1.43 mem(c_2Ebool_2EF,bool)), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF)). 7.92/1.43 fof(f260,plain,( 7.92/1.43 spl5_11), 7.92/1.43 inference(avatar_split_clause,[],[f163,f257])). 7.92/1.43 fof(f163,plain,( 7.92/1.43 p(c_2Ebool_2ET)), 7.92/1.43 inference(cnf_transformation,[],[f9])). 7.92/1.43 fof(f9,axiom,( 7.92/1.43 p(c_2Ebool_2ET)), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p)). 7.92/1.43 fof(f255,plain,( 7.92/1.43 spl5_10), 7.92/1.43 inference(avatar_split_clause,[],[f162,f252])). 7.92/1.43 fof(f162,plain,( 7.92/1.43 ne(bool)), 7.92/1.43 inference(cnf_transformation,[],[f2])). 7.92/1.43 fof(f2,axiom,( 7.92/1.43 ne(bool)), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_ne)). 7.92/1.43 fof(f250,plain,( 7.92/1.43 spl5_9), 7.92/1.43 inference(avatar_split_clause,[],[f161,f247])). 7.92/1.43 fof(f161,plain,( 7.92/1.43 ne(ty_2Eextreal_2Eextreal)), 7.92/1.43 inference(cnf_transformation,[],[f13])). 7.92/1.43 fof(f13,axiom,( 7.92/1.43 ne(ty_2Eextreal_2Eextreal)), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Eextreal_2Eextreal)). 7.92/1.43 fof(f240,plain,( 7.92/1.43 ~spl5_7), 7.92/1.43 inference(avatar_split_clause,[],[f159,f237])). 7.92/1.43 fof(f159,plain,( 7.92/1.43 ~p(c_2Ebool_2EF)), 7.92/1.43 inference(cnf_transformation,[],[f50])). 7.92/1.43 fof(f50,axiom,( 7.92/1.43 ~p(c_2Ebool_2EF)), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p)). 7.92/1.43 fof(f235,plain,( 7.92/1.43 ~spl5_4 | ~spl5_5 | ~spl5_6), 7.92/1.43 inference(avatar_split_clause,[],[f153,f231,f226,f222])). 7.92/1.43 fof(f153,plain,( 7.92/1.43 ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)) | ~p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0))), 7.92/1.43 inference(cnf_transformation,[],[f98])). 7.92/1.43 fof(f98,plain,( 7.92/1.43 ? [X0] : (? [X1] : (? [X2] : ((p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) <~> (p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)))) & mem(X2,ty_2Eextreal_2Eextreal)) & mem(X1,ty_2Eextreal_2Eextreal)) & mem(X0,ty_2Eextreal_2Eextreal))), 7.92/1.43 inference(ennf_transformation,[],[f58])). 7.92/1.43 fof(f58,plain,( 7.92/1.43 ~! [X0] : (mem(X0,ty_2Eextreal_2Eextreal) => ! [X1] : (mem(X1,ty_2Eextreal_2Eextreal) => ! [X2] : (mem(X2,ty_2Eextreal_2Eextreal) => (p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) <=> (p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)))))))), 7.92/1.43 inference(rectify,[],[f20])). 7.92/1.43 fof(f20,negated_conjecture,( 7.92/1.43 ~! [X17] : (mem(X17,ty_2Eextreal_2Eextreal) => ! [X18] : (mem(X18,ty_2Eextreal_2Eextreal) => ! [X19] : (mem(X19,ty_2Eextreal_2Eextreal) => (p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X18),X19)),X17)) <=> (p(ap(ap(c_2Eextreal_2Eextreal__le,X18),X17)) & p(ap(ap(c_2Eextreal_2Eextreal__le,X19),X17)))))))), 7.92/1.43 inference(negated_conjecture,[],[f19])). 7.92/1.43 fof(f19,conjecture,( 7.92/1.43 ! [X17] : (mem(X17,ty_2Eextreal_2Eextreal) => ! [X18] : (mem(X18,ty_2Eextreal_2Eextreal) => ! [X19] : (mem(X19,ty_2Eextreal_2Eextreal) => (p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X18),X19)),X17)) <=> (p(ap(ap(c_2Eextreal_2Eextreal__le,X18),X17)) & p(ap(ap(c_2Eextreal_2Eextreal__le,X19),X17)))))))), 7.92/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le)). 7.92/1.43 fof(f234,plain,( 7.92/1.43 spl5_4 | spl5_6), 7.92/1.43 inference(avatar_split_clause,[],[f154,f231,f222])). 7.92/1.43 fof(f154,plain,( 7.92/1.43 p(ap(ap(c_2Eextreal_2Eextreal__le,sK2),sK0)) | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0))), 7.92/1.43 inference(cnf_transformation,[],[f98])). 7.92/1.43 fof(f229,plain,( 7.92/1.43 spl5_4 | spl5_5), 7.92/1.43 inference(avatar_split_clause,[],[f155,f226,f222])). 7.92/1.43 fof(f155,plain,( 7.92/1.43 p(ap(ap(c_2Eextreal_2Eextreal__le,sK1),sK0)) | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK1),sK2)),sK0))), 7.92/1.43 inference(cnf_transformation,[],[f98])). 7.92/1.43 fof(f220,plain,( 7.92/1.43 spl5_3), 7.92/1.43 inference(avatar_split_clause,[],[f156,f217])). 7.92/1.43 fof(f156,plain,( 7.92/1.43 mem(sK2,ty_2Eextreal_2Eextreal)), 7.92/1.43 inference(cnf_transformation,[],[f98])). 7.92/1.43 fof(f215,plain,( 7.92/1.43 spl5_2), 7.92/1.43 inference(avatar_split_clause,[],[f157,f212])). 7.92/1.43 fof(f157,plain,( 7.92/1.43 mem(sK1,ty_2Eextreal_2Eextreal)), 7.92/1.43 inference(cnf_transformation,[],[f98])). 7.92/1.43 fof(f210,plain,( 7.92/1.43 spl5_1), 7.92/1.43 inference(avatar_split_clause,[],[f158,f207])). 7.92/1.43 fof(f158,plain,( 7.92/1.43 mem(sK0,ty_2Eextreal_2Eextreal)), 7.92/1.43 inference(cnf_transformation,[],[f98])). 7.92/1.43 % SZS output end Proof for theBenchmark 7.92/1.43 % (6147)------------------------------ 7.92/1.43 % (6147)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 7.92/1.43 % (6147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.92/1.43 % (6147)Termination reason: Refutation 7.92/1.43 7.92/1.43 % (6147)Memory used [KB]: 16502 7.92/1.43 % (6147)Time elapsed: 0.370 s 7.92/1.43 % (6147)------------------------------ 7.92/1.43 % (6147)------------------------------ 7.92/1.43 % (6134)Success in time 1.066 s 7.92/1.43 EOF