0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n024.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 : Thu Jul 2 08:54:41 EDT 2020 0.13/0.35 % CPUTime : 0.20/0.44 % (5339)lrs+1003_2_acc=on:afp=4000:afq=2.0:amm=sco:bd=off:ccuc=small_ones:fsr=off:fde=unused:gsp=input_only:nm=64:newcnf=on:nwc=2.5:nicw=on:stl=30:urr=ec_only_8 on theBenchmark 0.20/0.46 % (5334)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 0.20/0.46 % (5331)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 0.20/0.46 % (5356)ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_1 on theBenchmark 0.20/0.47 % (5333)ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_22 on theBenchmark 0.20/0.47 % (5336)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 0.20/0.47 % (5348)dis+11_28_av=off:fsr=off:irw=on:lcm=predicate:nm=2:newcnf=on:nwc=5:sp=occurrence:urr=on:updr=off_2 on theBenchmark 0.20/0.47 % (5347)ott+1004_12_awrs=converge:awrsf=64:aac=none:afr=on:afp=4000:afq=1.4:amm=sco:anc=none:bs=on:cond=fast:fsr=off:gs=on:gsaa=full_model:gsem=on:lma=on:nwc=5:nicw=on:sas=z3:sos=all:sac=on:sp=occurrence:urr=ec_only_2 on theBenchmark 0.20/0.48 % (5327)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 0.20/0.48 % (5341)ott+1_8_av=off:bd=off:bs=on:cond=on:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:lwlo=on:nwc=1:sos=on_10 on theBenchmark 0.20/0.48 % (5340)lrs+2_1_add=large:afp=100000:afq=1.0:amm=off:anc=none:bd=off:bs=unit_only:bsr=on:gsp=input_only:lma=on:lwlo=on:newcnf=on:nwc=1:stl=30:sos=theory:sp=reverse_arity:updr=off_14 on theBenchmark 0.20/0.48 % (5344)lrs+1002_3_aac=none:acc=on:add=off:afp=4000:afq=1.1:amm=sco:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=32:newcnf=on:nwc=1.1:nicw=on:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=occurrence:updr=off_24 on theBenchmark 0.20/0.48 % (5344)Refutation not found, incomplete strategy% (5344)------------------------------ 0.20/0.48 % (5344)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.48 % (5344)Termination reason: Refutation not found, incomplete strategy 0.20/0.48 0.20/0.48 % (5344)Memory used [KB]: 10874 0.20/0.48 % (5344)Time elapsed: 0.096 s 0.20/0.48 % (5344)------------------------------ 0.20/0.48 % (5344)------------------------------ 0.20/0.48 % (5352)dis+11_5_av=off:bd=off:bs=unit_only:bsr=on:cond=on:lcm=reverse:nm=0:nwc=1.2_5 on theBenchmark 0.20/0.49 % (5350)dis-10_1_aac=none:afr=on:afp=10000:afq=1.0:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=4:newcnf=on:nwc=2:sp=occurrence_2 on theBenchmark 0.20/0.49 % (5355)lrs+10_6_aac=none:acc=model:add=large:afr=on:afp=10000:afq=1.2:amm=off:anc=none:bd=off:ccuc=small_ones:irw=on:lcm=reverse:nm=0:nwc=1:nicw=on:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.20/0.50 % (5342)dis+1010_3:2_acc=on:afr=on:afp=1000:afq=1.2:amm=sco:bs=on:ccuc=first:fde=none:nm=0:nwc=4:sd=3:ss=axioms:st=5.0:urr=ec_only_4 on theBenchmark 0.20/0.51 % (5332)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 0.20/0.51 % (5349)dis+1011_5:4_acc=model:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=off:ccuc=small_ones:cond=fast:fde=unused:gs=on:nm=2:newcnf=on:nwc=1:nicw=on:sos=on:sac=on:sp=occurrence:updr=off_72 on theBenchmark 0.20/0.51 % (5338)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 0.20/0.51 % (5349)Refutation not found, incomplete strategy% (5349)------------------------------ 0.20/0.51 % (5349)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.51 % (5349)Termination reason: Refutation not found, incomplete strategy 0.20/0.51 0.20/0.51 % (5349)Memory used [KB]: 10874 0.20/0.51 % (5349)Time elapsed: 0.120 s 0.20/0.51 % (5349)------------------------------ 0.20/0.51 % (5349)------------------------------ 0.20/0.52 % (5337)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 0.20/0.52 % (5335)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 0.20/0.52 % (5354)dis+1003_64_add=off:afr=on:afp=100000:afq=1.1:anc=none:cond=fast:fde=none:irw=on:nm=6:newcnf=on:nwc=1.3:uhcvi=on_5 on theBenchmark 0.20/0.53 % (5328)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 0.20/0.53 % (5329)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 0.20/0.53 % (5346)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_36 on theBenchmark 0.20/0.53 % (5330)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 0.20/0.53 % (5345)dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.20/0.54 % (5351)lrs+1011_4:1_av=off:fsr=off:irw=on:nwc=1:stl=30:sd=4:ss=axioms:st=1.5:sp=reverse_arity_12 on theBenchmark 0.20/0.55 % (5328)Refutation not found, incomplete strategy% (5328)------------------------------ 0.20/0.55 % (5328)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.55 % (5328)Termination reason: Refutation not found, incomplete strategy 0.20/0.55 0.20/0.55 % (5328)Memory used [KB]: 10746 0.20/0.55 % (5328)Time elapsed: 0.135 s 0.20/0.55 % (5328)------------------------------ 0.20/0.55 % (5328)------------------------------ 0.20/0.55 % (5353)ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_9 on theBenchmark 0.20/0.56 % (5343)dis+11_3:1_add=off:afr=on:afp=100000:afq=1.2:amm=off:anc=none:bd=off:bs=unit_only:irw=on:lcm=predicate:lma=on:nm=2:nwc=1:sd=2:ss=axioms:sos=all:sp=occurrence:updr=off_1 on theBenchmark 2.10/0.64 % (5358)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_4 on theBenchmark 2.10/0.66 % (5359)lrs+10_1_afr=on:afp=100000:afq=1.2:amm=sco:anc=none:br=off:cond=on:gs=on:gsem=on:irw=on:nm=16:nwc=1:stl=30:sac=on:sp=occurrence:urr=on:updr=off_12 on theBenchmark 2.10/0.70 % (5360)ott-3_3_av=off:cond=fast:fde=none:lcm=reverse:nm=6:nwc=1:sd=5:ss=axioms:st=2.0:sos=on:sp=reverse_arity:updr=off:uhcvi=on_17 on theBenchmark 3.29/0.81 % (5342)Refutation found. Thanks to Tanya! 3.29/0.81 % SZS status Theorem for theBenchmark 3.29/0.82 % (5343)Time limit reached! 3.29/0.82 % (5343)------------------------------ 3.29/0.82 % (5343)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.29/0.82 % (5343)Termination reason: Time limit 3.29/0.82 % (5343)Termination phase: Saturation 3.29/0.82 3.29/0.82 % (5343)Memory used [KB]: 7931 3.29/0.82 % (5343)Time elapsed: 0.420 s 3.29/0.82 % (5343)------------------------------ 3.29/0.82 % (5343)------------------------------ 3.29/0.82 % SZS output start Proof for theBenchmark 3.29/0.82 fof(f3296,plain,( 3.29/0.82 $false), 3.29/0.82 inference(avatar_sat_refutation,[],[f239,f244,f249,f258,f259,f264,f269,f289,f314,f324,f330,f660,f668,f1201,f1308,f3283,f3289,f3295])). 3.29/0.82 fof(f3295,plain,( 3.29/0.82 ~spl2_2 | ~spl2_4 | spl2_47), 3.29/0.82 inference(avatar_contradiction_clause,[],[f3294])). 3.29/0.82 fof(f3294,plain,( 3.29/0.82 $false | (~spl2_2 | ~spl2_4 | spl2_47)), 3.29/0.82 inference(subsumption_resolution,[],[f3293,f243])). 3.29/0.82 fof(f243,plain,( 3.29/0.82 ne(sK0) | ~spl2_2), 3.29/0.82 inference(avatar_component_clause,[],[f241])). 3.29/0.82 fof(f241,plain,( 3.29/0.82 spl2_2 <=> ne(sK0)), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 3.29/0.82 fof(f3293,plain,( 3.29/0.82 ~ne(sK0) | (~spl2_4 | spl2_47)), 3.29/0.82 inference(subsumption_resolution,[],[f3291,f252])). 3.29/0.82 fof(f252,plain,( 3.29/0.82 mem(c_2Enum_2E0,ty_2Enum_2Enum) | ~spl2_4), 3.29/0.82 inference(avatar_component_clause,[],[f251])). 3.29/0.82 fof(f251,plain,( 3.29/0.82 spl2_4 <=> mem(c_2Enum_2E0,ty_2Enum_2Enum)), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 3.29/0.82 fof(f3291,plain,( 3.29/0.82 ~mem(c_2Enum_2E0,ty_2Enum_2Enum) | ~ne(sK0) | spl2_47), 3.29/0.82 inference(resolution,[],[f3282,f343])). 3.29/0.82 fof(f343,plain,( 3.29/0.82 ( ! [X4,X3] : (mem(ap(c_2Ewords_2En2w(X4),X3),ty_2Efcp_2Ecart(bool,X4)) | ~mem(X3,ty_2Enum_2Enum) | ~ne(X4)) )), 3.29/0.82 inference(resolution,[],[f155,f154])). 3.29/0.82 fof(f154,plain,( 3.29/0.82 ( ! [X0] : (mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0))) | ~ne(X0)) )), 3.29/0.82 inference(cnf_transformation,[],[f101])). 3.29/0.82 fof(f101,plain,( 3.29/0.82 ! [X0] : (mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0))) | ~ne(X0))), 3.29/0.82 inference(ennf_transformation,[],[f69])). 3.29/0.82 fof(f69,plain,( 3.29/0.82 ! [X0] : (ne(X0) => mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0))))), 3.29/0.82 inference(rectify,[],[f17])). 3.29/0.82 fof(f17,axiom,( 3.29/0.82 ! [X9] : (ne(X9) => mem(c_2Ewords_2En2w(X9),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X9))))), 3.29/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ewords_2En2w)). 3.29/0.82 fof(f155,plain,( 3.29/0.82 ( ! [X2,X0,X3,X1] : (~mem(X2,arr(X0,X1)) | ~mem(X3,X0) | mem(ap(X2,X3),X1)) )), 3.29/0.82 inference(cnf_transformation,[],[f102])). 3.29/0.82 fof(f102,plain,( 3.29/0.82 ! [X0,X1,X2] : (! [X3] : (mem(ap(X2,X3),X1) | ~mem(X3,X0)) | ~mem(X2,arr(X0,X1)))), 3.29/0.82 inference(ennf_transformation,[],[f70])). 3.29/0.82 fof(f70,plain,( 3.29/0.82 ! [X0,X1,X2] : (mem(X2,arr(X0,X1)) => ! [X3] : (mem(X3,X0) => mem(ap(X2,X3),X1)))), 3.29/0.82 inference(rectify,[],[f8])). 3.29/0.82 fof(f8,axiom,( 3.29/0.82 ! [X0,X4,X5] : (mem(X5,arr(X0,X4)) => ! [X1] : (mem(X1,X0) => mem(ap(X5,X1),X4)))), 3.29/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp)). 3.29/0.82 fof(f3282,plain,( 3.29/0.82 ~mem(ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,sK0)) | spl2_47), 3.29/0.82 inference(avatar_component_clause,[],[f3280])). 3.29/0.82 fof(f3280,plain,( 3.29/0.82 spl2_47 <=> mem(ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,sK0))), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_47])])). 3.29/0.82 fof(f3289,plain,( 3.29/0.82 ~spl2_2 | ~spl2_7 | spl2_46), 3.29/0.82 inference(avatar_contradiction_clause,[],[f3288])). 3.29/0.82 fof(f3288,plain,( 3.29/0.82 $false | (~spl2_2 | ~spl2_7 | spl2_46)), 3.29/0.82 inference(subsumption_resolution,[],[f3287,f268])). 3.29/0.82 fof(f268,plain,( 3.29/0.82 ne(bool) | ~spl2_7), 3.29/0.82 inference(avatar_component_clause,[],[f266])). 3.29/0.82 fof(f266,plain,( 3.29/0.82 spl2_7 <=> ne(bool)), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_7])])). 3.29/0.82 fof(f3287,plain,( 3.29/0.82 ~ne(bool) | (~spl2_2 | spl2_46)), 3.29/0.82 inference(subsumption_resolution,[],[f3285,f243])). 3.29/0.82 fof(f3285,plain,( 3.29/0.82 ~ne(sK0) | ~ne(bool) | spl2_46), 3.29/0.82 inference(resolution,[],[f3278,f170])). 3.29/0.82 fof(f170,plain,( 3.29/0.82 ( ! [X0,X1] : (ne(ty_2Efcp_2Ecart(X0,X1)) | ~ne(X1) | ~ne(X0)) )), 3.29/0.82 inference(cnf_transformation,[],[f108])). 3.29/0.82 fof(f108,plain,( 3.29/0.82 ! [X0] : (! [X1] : (ne(ty_2Efcp_2Ecart(X0,X1)) | ~ne(X1)) | ~ne(X0))), 3.29/0.82 inference(ennf_transformation,[],[f78])). 3.29/0.82 fof(f78,plain,( 3.29/0.82 ! [X0] : (ne(X0) => ! [X1] : (ne(X1) => ne(ty_2Efcp_2Ecart(X0,X1))))), 3.29/0.82 inference(rectify,[],[f52])). 3.29/0.82 fof(f52,axiom,( 3.29/0.82 ! [X8] : (ne(X8) => ! [X29] : (ne(X29) => ne(ty_2Efcp_2Ecart(X8,X29))))), 3.29/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_ty_2Efcp_2Ecart)). 3.29/0.82 fof(f3278,plain,( 3.29/0.82 ~ne(ty_2Efcp_2Ecart(bool,sK0)) | spl2_46), 3.29/0.82 inference(avatar_component_clause,[],[f3276])). 3.29/0.82 fof(f3276,plain,( 3.29/0.82 spl2_46 <=> ne(ty_2Efcp_2Ecart(bool,sK0))), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_46])])). 3.29/0.82 fof(f3283,plain,( 3.29/0.82 ~spl2_46 | ~spl2_47 | spl2_1 | ~spl2_2 | ~spl2_4 | ~spl2_21 | ~spl2_27), 3.29/0.82 inference(avatar_split_clause,[],[f3274,f1305,f658,f251,f241,f236,f3280,f3276])). 3.29/0.82 fof(f236,plain,( 3.29/0.82 spl2_1 <=> ap(c_2Einteger__word_2Ei2w(sK0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0)), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])). 3.29/0.82 fof(f658,plain,( 3.29/0.82 spl2_21 <=> ! [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))))),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))) | ~ne(X0))), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_21])])). 3.29/0.82 fof(f1305,plain,( 3.29/0.82 spl2_27 <=> c_2Ebool_2EF = ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))), 3.29/0.82 introduced(avatar_definition,[new_symbols(naming,[spl2_27])])). 3.29/0.82 fof(f3274,plain,( 3.29/0.82 ~mem(ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,sK0)) | ~ne(ty_2Efcp_2Ecart(bool,sK0)) | (spl2_1 | ~spl2_2 | ~spl2_4 | ~spl2_21 | ~spl2_27)), 3.29/0.82 inference(subsumption_resolution,[],[f3273,f243])). 3.29/0.82 fof(f3273,plain,( 3.29/0.82 ~ne(sK0) | ~mem(ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,sK0)) | ~ne(ty_2Efcp_2Ecart(bool,sK0)) | (spl2_1 | ~spl2_4 | ~spl2_21 | ~spl2_27)), 3.29/0.82 inference(trivial_inequality_removal,[],[f3268])). 3.29/0.82 fof(f3268,plain,( 3.29/0.82 ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0) != ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0) | ~ne(sK0) | ~mem(ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,sK0)) | ~ne(ty_2Efcp_2Ecart(bool,sK0)) | (spl2_1 | ~spl2_4 | ~spl2_21 | ~spl2_27)), 3.29/0.82 inference(superposition,[],[f238,f2966])). 3.29/0.82 fof(f2966,plain,( 3.29/0.82 ( ! [X1] : (ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0) | ~ne(X1) | ~mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1)) | ~ne(ty_2Efcp_2Ecart(bool,X1))) ) | (~spl2_4 | ~spl2_21 | ~spl2_27)), 3.29/0.82 inference(subsumption_resolution,[],[f2940,f345])). 3.29/0.82 fof(f345,plain,( 3.29/0.82 ( ! [X6,X7] : (mem(ap(c_2Ewords_2Eword__2comp(X7),X6),ty_2Efcp_2Ecart(bool,X7)) | ~mem(X6,ty_2Efcp_2Ecart(bool,X7)) | ~ne(X7)) )), 3.29/0.82 inference(resolution,[],[f155,f199])). 3.29/0.82 fof(f199,plain,( 3.29/0.82 ( ! [X0] : (mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0))) | ~ne(X0)) )), 3.29/0.82 inference(cnf_transformation,[],[f117])). 3.29/0.82 fof(f117,plain,( 3.29/0.82 ! [X0] : (mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0))) | ~ne(X0))), 3.29/0.82 inference(ennf_transformation,[],[f87])). 3.29/0.82 fof(f87,plain,( 3.29/0.82 ! [X0] : (ne(X0) => mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0))))), 3.29/0.82 inference(rectify,[],[f47])). 3.29/0.83 fof(f47,axiom,( 3.29/0.83 ! [X9] : (ne(X9) => mem(c_2Ewords_2Eword__2comp(X9),arr(ty_2Efcp_2Ecart(bool,X9),ty_2Efcp_2Ecart(bool,X9))))), 3.29/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ewords_2Eword__2comp)). 3.29/0.83 fof(f2940,plain,( 3.29/0.83 ( ! [X1] : (ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0) | ~ne(X1) | ~mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1)) | ~mem(ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)),ty_2Efcp_2Ecart(bool,X1)) | ~ne(ty_2Efcp_2Ecart(bool,X1))) ) | (~spl2_4 | ~spl2_21 | ~spl2_27)), 3.29/0.83 inference(superposition,[],[f1397,f191])). 3.29/0.83 fof(f191,plain,( 3.29/0.83 ( ! [X2,X0,X1] : (ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 | ~mem(X2,X0) | ~mem(X1,X0) | ~ne(X0)) )), 3.29/0.83 inference(cnf_transformation,[],[f113])). 3.29/0.83 fof(f113,plain,( 3.29/0.83 ! [X0] : ((! [X1] : (! [X2] : (ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 | ~mem(X2,X0)) | ~mem(X1,X0)) & ! [X3] : (! [X4] : (ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X3),X4) = X3 | ~mem(X4,X0)) | ~mem(X3,X0))) | ~ne(X0))), 3.29/0.83 inference(ennf_transformation,[],[f83])). 3.29/0.83 fof(f83,plain,( 3.29/0.83 ! [X0] : (ne(X0) => (! [X1] : (mem(X1,X0) => ! [X2] : (mem(X2,X0) => ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2)) & ! [X3] : (mem(X3,X0) => ! [X4] : (mem(X4,X0) => ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X3),X4) = X3))))), 3.29/0.83 inference(rectify,[],[f28])). 3.29/0.83 fof(f28,axiom,( 3.29/0.83 ! [X9] : (ne(X9) => (! [X21] : (mem(X21,X9) => ! [X22] : (mem(X22,X9) => ap(ap(ap(c_2Ebool_2ECOND(X9),c_2Ebool_2EF),X21),X22) = X22)) & ! [X18] : (mem(X18,X9) => ! [X19] : (mem(X19,X9) => ap(ap(ap(c_2Ebool_2ECOND(X9),c_2Ebool_2ET),X18),X19) = X18))))), 3.29/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2Ebool__case__thm)). 3.29/0.83 fof(f1397,plain,( 3.29/0.83 ( ! [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),c_2Ebool_2EF),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),c_2Enum_2E0))),ap(c_2Ewords_2En2w(X0),c_2Enum_2E0)) | ~ne(X0)) ) | (~spl2_4 | ~spl2_21 | ~spl2_27)), 3.29/0.83 inference(subsumption_resolution,[],[f1373,f252])). 3.29/0.83 fof(f1373,plain,( 3.29/0.83 ( ! [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),c_2Ebool_2EF),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),c_2Enum_2E0))),ap(c_2Ewords_2En2w(X0),c_2Enum_2E0)) | ~ne(X0) | ~mem(c_2Enum_2E0,ty_2Enum_2Enum)) ) | (~spl2_21 | ~spl2_27)), 3.29/0.83 inference(superposition,[],[f1340,f166])). 3.29/0.83 fof(f166,plain,( 3.29/0.83 ( ! [X0] : (ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X0)) = X0 | ~mem(X0,ty_2Enum_2Enum)) )), 3.29/0.83 inference(cnf_transformation,[],[f105])). 3.29/0.83 fof(f105,plain,( 3.29/0.83 ! [X0] : (ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X0)) = X0 | ~mem(X0,ty_2Enum_2Enum))), 3.29/0.83 inference(ennf_transformation,[],[f75])). 3.29/0.83 fof(f75,plain,( 3.29/0.83 ! [X0] : (mem(X0,ty_2Enum_2Enum) => ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X0)) = X0)), 3.29/0.83 inference(rectify,[],[f21])). 3.29/0.83 fof(f21,axiom,( 3.29/0.83 ! [X11] : (mem(X11,ty_2Enum_2Enum) => ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X11)) = X11)), 3.29/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2ENUM__OF__INT)). 3.29/0.83 fof(f1340,plain,( 3.29/0.83 ( ! [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),c_2Ebool_2EF),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))))),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))) | ~ne(X0)) ) | (~spl2_21 | ~spl2_27)), 3.29/0.83 inference(backward_demodulation,[],[f659,f1307])). 3.29/0.83 fof(f1307,plain,( 3.29/0.83 c_2Ebool_2EF = ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) | ~spl2_27), 3.29/0.83 inference(avatar_component_clause,[],[f1305])). 3.29/0.83 fof(f659,plain,( 3.29/0.83 ( ! [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))))),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))) | ~ne(X0)) ) | ~spl2_21), 3.29/0.83 inference(avatar_component_clause,[],[f658])). 3.29/0.83 fof(f238,plain,( 3.29/0.83 ap(c_2Einteger__word_2Ei2w(sK0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0) | spl2_1), 3.29/0.83 inference(avatar_component_clause,[],[f236])). 3.29/0.83 fof(f1308,plain,( 3.29/0.83 spl2_27 | spl2_11 | ~spl2_18 | spl2_19 | ~spl2_22), 3.29/0.83 inference(avatar_split_clause,[],[f1303,f1143,f327,f321,f286,f1305])). 3.29/0.83 fof(f286,plain,( 3.29/0.83 spl2_11 <=> p(c_2Ebool_2EF)), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_11])])). 3.29/0.83 fof(f321,plain,( 3.29/0.83 spl2_18 <=> mem(c_2Ebool_2EF,bool)), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])). 3.29/0.83 fof(f327,plain,( 3.29/0.83 spl2_19 <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_19])])). 3.29/0.83 fof(f1143,plain,( 3.29/0.83 spl2_22 <=> mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_22])])). 3.29/0.83 fof(f1303,plain,( 3.29/0.83 c_2Ebool_2EF = ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) | (spl2_11 | ~spl2_18 | spl2_19 | ~spl2_22)), 3.29/0.83 inference(subsumption_resolution,[],[f1293,f329])). 3.29/0.83 fof(f329,plain,( 3.29/0.83 ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) | spl2_19), 3.29/0.83 inference(avatar_component_clause,[],[f327])). 3.29/0.83 fof(f1293,plain,( 3.29/0.83 c_2Ebool_2EF = ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) | p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) | (spl2_11 | ~spl2_18 | ~spl2_22)), 3.29/0.83 inference(resolution,[],[f1144,f333])). 3.29/0.83 fof(f333,plain,( 3.29/0.83 ( ! [X0] : (~mem(X0,bool) | c_2Ebool_2EF = X0 | p(X0)) ) | (spl2_11 | ~spl2_18)), 3.29/0.83 inference(subsumption_resolution,[],[f331,f288])). 3.29/0.83 fof(f288,plain,( 3.29/0.83 ~p(c_2Ebool_2EF) | spl2_11), 3.29/0.83 inference(avatar_component_clause,[],[f286])). 3.29/0.83 fof(f331,plain,( 3.29/0.83 ( ! [X0] : (p(c_2Ebool_2EF) | p(X0) | c_2Ebool_2EF = X0 | ~mem(X0,bool)) ) | ~spl2_18), 3.29/0.83 inference(resolution,[],[f136,f323])). 3.29/0.83 fof(f323,plain,( 3.29/0.83 mem(c_2Ebool_2EF,bool) | ~spl2_18), 3.29/0.83 inference(avatar_component_clause,[],[f321])). 3.29/0.83 fof(f136,plain,( 3.29/0.83 ( ! [X0,X1] : (~mem(X1,bool) | p(X1) | p(X0) | X0 = X1 | ~mem(X0,bool)) )), 3.29/0.83 inference(cnf_transformation,[],[f123])). 3.29/0.83 fof(f123,plain,( 3.29/0.83 ! [X0] : (! [X1] : (X0 = X1 | ((~p(X1) | ~p(X0)) & (p(X1) | p(X0))) | ~mem(X1,bool)) | ~mem(X0,bool))), 3.29/0.83 inference(nnf_transformation,[],[f93])). 3.29/0.83 fof(f93,plain,( 3.29/0.83 ! [X0] : (! [X1] : (X0 = X1 | (p(X0) <~> p(X1)) | ~mem(X1,bool)) | ~mem(X0,bool))), 3.29/0.83 inference(flattening,[],[f92])). 3.29/0.83 fof(f92,plain,( 3.29/0.83 ! [X0] : (! [X1] : ((X0 = X1 | (p(X0) <~> p(X1))) | ~mem(X1,bool)) | ~mem(X0,bool))), 3.29/0.83 inference(ennf_transformation,[],[f61])). 3.29/0.83 fof(f61,plain,( 3.29/0.83 ! [X0] : (mem(X0,bool) => ! [X1] : (mem(X1,bool) => ((p(X0) <=> p(X1)) => X0 = X1)))), 3.29/0.83 inference(rectify,[],[f2])). 3.29/0.83 fof(f2,axiom,( 3.29/0.83 ! [X2] : (mem(X2,bool) => ! [X3] : (mem(X3,bool) => ((p(X2) <=> p(X3)) => X2 = X3)))), 3.29/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolext)). 3.29/0.83 fof(f1144,plain,( 3.29/0.83 mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool) | ~spl2_22), 3.29/0.83 inference(avatar_component_clause,[],[f1143])). 3.29/0.83 fof(f1201,plain,( 3.29/0.83 ~spl2_16 | ~spl2_20 | spl2_22), 3.29/0.83 inference(avatar_contradiction_clause,[],[f1200])). 3.29/0.83 fof(f1200,plain,( 3.29/0.83 $false | (~spl2_16 | ~spl2_20 | spl2_22)), 3.29/0.83 inference(subsumption_resolution,[],[f1198,f655])). 3.29/0.83 fof(f655,plain,( 3.29/0.83 mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint) | ~spl2_20), 3.29/0.83 inference(avatar_component_clause,[],[f654])). 3.29/0.83 fof(f654,plain,( 3.29/0.83 spl2_20 <=> mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint)), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_20])])). 3.29/0.83 fof(f1198,plain,( 3.29/0.83 ~mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint) | (~spl2_16 | spl2_22)), 3.29/0.83 inference(duplicate_literal_removal,[],[f1189])). 3.29/0.83 fof(f1189,plain,( 3.29/0.83 ~mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint) | ~mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint) | (~spl2_16 | spl2_22)), 3.29/0.83 inference(resolution,[],[f1145,f366])). 3.29/0.83 fof(f366,plain,( 3.29/0.83 ( ! [X0,X1] : (mem(ap(ap(c_2Einteger_2Eint__lt,X0),X1),bool) | ~mem(X1,ty_2Einteger_2Eint) | ~mem(X0,ty_2Einteger_2Eint)) ) | ~spl2_16), 3.29/0.83 inference(resolution,[],[f351,f155])). 3.29/0.83 fof(f351,plain,( 3.29/0.83 ( ! [X15] : (mem(ap(c_2Einteger_2Eint__lt,X15),arr(ty_2Einteger_2Eint,bool)) | ~mem(X15,ty_2Einteger_2Eint)) ) | ~spl2_16), 3.29/0.83 inference(resolution,[],[f155,f313])). 3.29/0.83 fof(f313,plain,( 3.29/0.83 mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))) | ~spl2_16), 3.29/0.83 inference(avatar_component_clause,[],[f311])). 3.29/0.83 fof(f311,plain,( 3.29/0.83 spl2_16 <=> mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)))), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])). 3.29/0.83 fof(f1145,plain,( 3.29/0.83 ~mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool) | spl2_22), 3.29/0.83 inference(avatar_component_clause,[],[f1143])). 3.29/0.83 fof(f668,plain,( 3.29/0.83 ~spl2_4 | ~spl2_6 | spl2_20), 3.29/0.83 inference(avatar_contradiction_clause,[],[f667])). 3.29/0.83 fof(f667,plain,( 3.29/0.83 $false | (~spl2_4 | ~spl2_6 | spl2_20)), 3.29/0.83 inference(subsumption_resolution,[],[f664,f252])). 3.29/0.83 fof(f664,plain,( 3.29/0.83 ~mem(c_2Enum_2E0,ty_2Enum_2Enum) | (~spl2_6 | spl2_20)), 3.29/0.83 inference(resolution,[],[f656,f342])). 3.29/0.83 fof(f342,plain,( 3.29/0.83 ( ! [X2] : (mem(ap(c_2Einteger_2Eint__of__num,X2),ty_2Einteger_2Eint) | ~mem(X2,ty_2Enum_2Enum)) ) | ~spl2_6), 3.29/0.83 inference(resolution,[],[f155,f263])). 3.29/0.83 fof(f263,plain,( 3.29/0.83 mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint)) | ~spl2_6), 3.29/0.83 inference(avatar_component_clause,[],[f261])). 3.29/0.83 fof(f261,plain,( 3.29/0.83 spl2_6 <=> mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint))), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 3.29/0.83 fof(f656,plain,( 3.29/0.83 ~mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint) | spl2_20), 3.29/0.83 inference(avatar_component_clause,[],[f654])). 3.29/0.83 fof(f660,plain,( 3.29/0.83 ~spl2_20 | spl2_21 | ~spl2_3), 3.29/0.83 inference(avatar_split_clause,[],[f635,f246,f658,f654])). 3.29/0.83 fof(f246,plain,( 3.29/0.83 spl2_3 <=> ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) = ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))), 3.29/0.83 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])). 3.29/0.84 fof(f635,plain,( 3.29/0.84 ( ! [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))))),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))) | ~mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint) | ~ne(X0)) ) | ~spl2_3), 3.29/0.84 inference(superposition,[],[f152,f248])). 3.29/0.84 fof(f248,plain,( 3.29/0.84 ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) = ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) | ~spl2_3), 3.29/0.84 inference(avatar_component_clause,[],[f246])). 3.29/0.84 fof(f152,plain,( 3.29/0.84 ( ! [X0,X1] : (ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(ap(c_2Einteger_2Eint__lt,X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X1))))),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,X1))) = ap(c_2Einteger__word_2Ei2w(X0),X1) | ~mem(X1,ty_2Einteger_2Eint) | ~ne(X0)) )), 3.29/0.84 inference(cnf_transformation,[],[f99])). 3.29/0.84 fof(f99,plain,( 3.29/0.84 ! [X0] : (! [X1] : (ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(ap(c_2Einteger_2Eint__lt,X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X1))))),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,X1))) = ap(c_2Einteger__word_2Ei2w(X0),X1) | ~mem(X1,ty_2Einteger_2Eint)) | ~ne(X0))), 3.29/0.84 inference(ennf_transformation,[],[f67])). 3.29/0.84 fof(f67,plain,( 3.29/0.84 ! [X0] : (ne(X0) => ! [X1] : (mem(X1,ty_2Einteger_2Eint) => ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(ap(c_2Einteger_2Eint__lt,X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X1))))),ap(c_2Ewords_2En2w(X0),ap(c_2Einteger_2ENum,X1))) = ap(c_2Einteger__word_2Ei2w(X0),X1)))), 3.29/0.84 inference(rectify,[],[f41])). 3.29/0.84 fof(f41,axiom,( 3.29/0.84 ! [X9] : (ne(X9) => ! [X27] : (mem(X27,ty_2Einteger_2Eint) => ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X9)),ap(ap(c_2Einteger_2Eint__lt,X27),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X9),ap(c_2Ewords_2En2w(X9),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X27))))),ap(c_2Ewords_2En2w(X9),ap(c_2Einteger_2ENum,X27))) = ap(c_2Einteger__word_2Ei2w(X9),X27)))), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Einteger__word_2Ei2w__def)). 3.29/0.84 fof(f330,plain,( 3.29/0.84 ~spl2_19 | ~spl2_3 | spl2_5), 3.29/0.84 inference(avatar_split_clause,[],[f325,f255,f246,f327])). 3.29/0.84 fof(f255,plain,( 3.29/0.84 spl2_5 <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))), 3.29/0.84 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])). 3.29/0.84 fof(f325,plain,( 3.29/0.84 ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) | (~spl2_3 | spl2_5)), 3.29/0.84 inference(forward_demodulation,[],[f257,f248])). 3.29/0.84 fof(f257,plain,( 3.29/0.84 ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) | spl2_5), 3.29/0.84 inference(avatar_component_clause,[],[f255])). 3.29/0.84 fof(f324,plain,( 3.29/0.84 spl2_18), 3.29/0.84 inference(avatar_split_clause,[],[f202,f321])). 3.29/0.84 fof(f202,plain,( 3.29/0.84 mem(c_2Ebool_2EF,bool)), 3.29/0.84 inference(cnf_transformation,[],[f27])). 3.29/0.84 fof(f27,axiom,( 3.29/0.84 mem(c_2Ebool_2EF,bool)), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2EF)). 3.29/0.84 fof(f314,plain,( 3.29/0.84 spl2_16), 3.29/0.84 inference(avatar_split_clause,[],[f200,f311])). 3.29/0.84 fof(f200,plain,( 3.29/0.84 mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)))), 3.29/0.84 inference(cnf_transformation,[],[f58])). 3.29/0.84 fof(f58,axiom,( 3.29/0.84 mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)))), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__lt)). 3.29/0.84 fof(f289,plain,( 3.29/0.84 ~spl2_11), 3.29/0.84 inference(avatar_split_clause,[],[f189,f286])). 3.29/0.84 fof(f189,plain,( 3.29/0.84 ~p(c_2Ebool_2EF)), 3.29/0.84 inference(cnf_transformation,[],[f50])). 3.29/0.84 fof(f50,axiom,( 3.29/0.84 ~p(c_2Ebool_2EF)), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_false_p)). 3.29/0.84 fof(f269,plain,( 3.29/0.84 spl2_7), 3.29/0.84 inference(avatar_split_clause,[],[f171,f266])). 3.29/0.84 fof(f171,plain,( 3.29/0.84 ne(bool)), 3.29/0.84 inference(cnf_transformation,[],[f7])). 3.29/0.84 fof(f7,axiom,( 3.29/0.84 ne(bool)), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bool_ne)). 3.29/0.84 fof(f264,plain,( 3.29/0.84 spl2_6), 3.29/0.84 inference(avatar_split_clause,[],[f167,f261])). 3.29/0.84 fof(f167,plain,( 3.29/0.84 mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint))), 3.29/0.84 inference(cnf_transformation,[],[f37])). 3.29/0.84 fof(f37,axiom,( 3.29/0.84 mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint))), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__of__num)). 3.29/0.84 fof(f259,plain,( 3.29/0.84 spl2_4), 3.29/0.84 inference(avatar_split_clause,[],[f165,f251])). 3.29/0.84 fof(f165,plain,( 3.29/0.84 mem(c_2Enum_2E0,ty_2Enum_2Enum)), 3.29/0.84 inference(cnf_transformation,[],[f18])). 3.29/0.84 fof(f18,axiom,( 3.29/0.84 mem(c_2Enum_2E0,ty_2Enum_2Enum)), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Enum_2E0)). 3.29/0.84 fof(f258,plain,( 3.29/0.84 ~spl2_4 | ~spl2_5), 3.29/0.84 inference(avatar_split_clause,[],[f224,f255,f251])). 3.29/0.84 fof(f224,plain,( 3.29/0.84 ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) | ~mem(c_2Enum_2E0,ty_2Enum_2Enum)), 3.29/0.84 inference(duplicate_literal_removal,[],[f215])). 3.29/0.84 fof(f215,plain,( 3.29/0.84 ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) | ~mem(c_2Enum_2E0,ty_2Enum_2Enum) | ~mem(c_2Enum_2E0,ty_2Enum_2Enum)), 3.29/0.84 inference(equality_resolution,[],[f214])). 3.29/0.84 fof(f214,plain,( 3.29/0.84 ( ! [X1] : (c_2Enum_2E0 != X1 | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Einteger_2Eint__of__num,X1))) | ~mem(X1,ty_2Enum_2Enum) | ~mem(c_2Enum_2E0,ty_2Enum_2Enum)) )), 3.29/0.84 inference(equality_resolution,[],[f160])). 3.29/0.84 fof(f160,plain,( 3.29/0.84 ( ! [X0,X1] : (c_2Enum_2E0 != X0 | c_2Enum_2E0 != X1 | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1))) | ~mem(X1,ty_2Enum_2Enum) | ~mem(X0,ty_2Enum_2Enum)) )), 3.29/0.84 inference(cnf_transformation,[],[f128])). 3.29/0.84 fof(f128,plain,( 3.29/0.84 ! [X0] : (! [X1] : (((p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1))) | ~p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1))) & (p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1)) | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1)))) & ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) & (c_2Enum_2E0 != X0 | c_2Enum_2E0 != X1 | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1)))) & (p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1))) | (c_2Enum_2E0 = X0 & c_2Enum_2E0 = X1)) & (p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0)) | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))))) & (p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) | ~p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0)))) | ~mem(X1,ty_2Enum_2Enum)) | ~mem(X0,ty_2Enum_2Enum))), 3.29/0.84 inference(flattening,[],[f127])). 3.29/0.84 fof(f127,plain,( 3.29/0.84 ! [X0] : (! [X1] : ((((p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1))) | ~p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1))) & (p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1)) | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1))))) & ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) & (((c_2Enum_2E0 != X0 | c_2Enum_2E0 != X1) | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1)))) & (p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1))) | (c_2Enum_2E0 = X0 & c_2Enum_2E0 = X1))) & ((p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0)) | ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))))) & (p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) | ~p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0))))) | ~mem(X1,ty_2Enum_2Enum)) | ~mem(X0,ty_2Enum_2Enum))), 3.29/0.84 inference(nnf_transformation,[],[f103])). 3.29/0.84 fof(f103,plain,( 3.29/0.84 ! [X0] : (! [X1] : (((p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1))) <=> p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1))) & ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) & ((c_2Enum_2E0 != X0 | c_2Enum_2E0 != X1) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1)))) & (p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0)) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))))) | ~mem(X1,ty_2Enum_2Enum)) | ~mem(X0,ty_2Enum_2Enum))), 3.29/0.84 inference(ennf_transformation,[],[f73])). 3.29/0.84 fof(f73,plain,( 3.29/0.84 ! [X0] : (mem(X0,ty_2Enum_2Enum) => ! [X1] : (mem(X1,ty_2Enum_2Enum) => ((p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1))) <=> p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1))) & ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) & ((c_2Enum_2E0 != X0 | c_2Enum_2E0 != X1) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1)))) & (p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0)) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))))))))), 3.29/0.84 inference(flattening,[],[f72])). 3.29/0.84 fof(f72,plain,( 3.29/0.84 ! [X0] : (mem(X0,ty_2Enum_2Enum) => ! [X1] : (mem(X1,ty_2Enum_2Enum) => ((p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1))) <=> p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1))) & ~p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) & ((c_2Enum_2E0 != X0 | c_2Enum_2E0 != X1) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1)))) & (p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0)) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))))))))), 3.29/0.84 inference(true_and_false_elimination,[],[f71])). 3.29/0.84 fof(f71,plain,( 3.29/0.84 ! [X0] : (mem(X0,ty_2Enum_2Enum) => ! [X1] : (mem(X1,ty_2Enum_2Enum) => ((p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__of__num,X1))) <=> p(ap(ap(c_2Eprim__rec_2E_3C,X0),X1))) & (p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X0)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1)))) <=> $false) & ((c_2Enum_2E0 != X0 | c_2Enum_2E0 != X1) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__of__num,X1)))) & (p(ap(ap(c_2Eprim__rec_2E_3C,X1),X0)) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X0))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))))))))), 3.29/0.84 inference(rectify,[],[f42])). 3.29/0.84 fof(f42,axiom,( 3.29/0.84 ! [X11] : (mem(X11,ty_2Enum_2Enum) => ! [X28] : (mem(X28,ty_2Enum_2Enum) => ((p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X11)),ap(c_2Einteger_2Eint__of__num,X28))) <=> p(ap(ap(c_2Eprim__rec_2E_3C,X11),X28))) & (p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X11)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X28)))) <=> $false) & ((c_2Enum_2E0 != X11 | c_2Enum_2E0 != X28) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X11))),ap(c_2Einteger_2Eint__of__num,X28)))) & (p(ap(ap(c_2Eprim__rec_2E_3C,X28),X11)) <=> p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X11))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X28))))))))), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__LT__CALCULATE)). 3.29/0.84 fof(f249,plain,( 3.29/0.84 spl2_3), 3.29/0.84 inference(avatar_split_clause,[],[f149,f246])). 3.29/0.84 fof(f149,plain,( 3.29/0.84 ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) = ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))), 3.29/0.84 inference(cnf_transformation,[],[f46])). 3.29/0.84 fof(f46,axiom,( 3.29/0.84 ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) = ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__NEG__0)). 3.29/0.84 fof(f244,plain,( 3.29/0.84 spl2_2), 3.29/0.84 inference(avatar_split_clause,[],[f132,f241])). 3.29/0.84 fof(f132,plain,( 3.29/0.84 ne(sK0)), 3.29/0.84 inference(cnf_transformation,[],[f120])). 3.29/0.84 fof(f120,plain,( 3.29/0.84 ap(c_2Einteger__word_2Ei2w(sK0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0) & ne(sK0)), 3.29/0.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f89,f119])). 3.29/0.84 fof(f119,plain,( 3.29/0.84 ? [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(X0),c_2Enum_2E0) & ne(X0)) => (ap(c_2Einteger__word_2Ei2w(sK0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0) & ne(sK0))), 3.29/0.84 introduced(choice_axiom,[])). 3.29/0.84 fof(f89,plain,( 3.29/0.84 ? [X0] : (ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(X0),c_2Enum_2E0) & ne(X0))), 3.29/0.84 inference(ennf_transformation,[],[f59])). 3.29/0.84 fof(f59,plain,( 3.29/0.84 ~! [X0] : (ne(X0) => ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X0),c_2Enum_2E0))), 3.29/0.84 inference(rectify,[],[f12])). 3.29/0.84 fof(f12,negated_conjecture,( 3.29/0.84 ~! [X9] : (ne(X9) => ap(c_2Einteger__word_2Ei2w(X9),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X9),c_2Enum_2E0))), 3.29/0.84 inference(negated_conjecture,[],[f11])). 3.29/0.84 fof(f11,conjecture,( 3.29/0.84 ! [X9] : (ne(X9) => ap(c_2Einteger__word_2Ei2w(X9),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X9),c_2Enum_2E0))), 3.29/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger__word_2Ei2w__0)). 3.29/0.84 fof(f239,plain,( 3.29/0.84 ~spl2_1), 3.29/0.84 inference(avatar_split_clause,[],[f133,f236])). 3.29/0.84 fof(f133,plain,( 3.29/0.84 ap(c_2Einteger__word_2Ei2w(sK0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(sK0),c_2Enum_2E0)), 3.29/0.84 inference(cnf_transformation,[],[f120])). 3.29/0.84 % SZS output end Proof for theBenchmark 3.29/0.84 % (5342)------------------------------ 3.29/0.84 % (5342)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.29/0.84 % (5342)Termination reason: Refutation 3.29/0.84 3.29/0.84 % (5342)Memory used [KB]: 9083 3.29/0.84 % (5342)Time elapsed: 0.428 s 3.29/0.84 % (5342)------------------------------ 3.29/0.84 % (5342)------------------------------ 3.29/0.84 % (5326)Success in time 0.476 s 3.29/0.85 EOF