0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.12/0.32 % Computer : n022.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 960 0.12/0.32 % WCLimit : 120 0.12/0.32 % DateTime : Tue Aug 9 02:11:46 EDT 2022 0.12/0.32 % CPUTime : 0.12/0.33 This is a FOF_ problem 0.12/0.33 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.33 % (20854)Running in auto input_syntax mode. Trying TPTP 0.12/0.39 % (20857)lrs+1010_2:1_aac=none:afr=on:afp=10000:afq=1.4:amm=sco:anc=none:gs=on:gsem=off:irw=on:nm=16:nwc=3:stl=30_7 on theBenchmark 0.12/0.39 % (20859)lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_11 on theBenchmark 0.12/0.39 % (20861)lrs+1011_10_aac=none:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_38 on theBenchmark 0.12/0.39 % (20855)lrs+1_1_aac=none:acc=model:add=large:afp=100000:afq=1.2:anc=none:bd=off:bs=on:bsr=on:ccuc=first:cond=on:fde=unused:irw=on:nm=2:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:uhcvi=on_2 on theBenchmark 0.12/0.39 % (20860)dis+1011_3_awrs=decay:awrsf=32:afp=10000:afq=1.1:amm=off:anc=none:cond=fast:ep=RSTC:fde=unused:lma=on:nm=16:nwc=2.5:s2a=on:sac=on:sp=frequency:urr=ec_only_2 on theBenchmark 0.12/0.39 % (20856)lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.12/0.39 % (20858)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_9 on theBenchmark 0.12/0.39 % (20862)lrs+1011_5_afr=on:afp=100000:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:sas=z3:stl=30:sac=on:urr=on_12 on theBenchmark 0.18/0.39 % (20856)First to succeed. 0.18/0.39 % (20857)Also succeeded, but the first one will report. 0.18/0.39 % (20856)Refutation found. Thanks to Tanya! 0.18/0.39 % SZS status Theorem for theBenchmark 0.18/0.39 % SZS output start Proof for theBenchmark 0.18/0.39 fof(f144,plain,( 0.18/0.39 $false), 0.18/0.39 inference(avatar_sat_refutation,[],[f114,f132,f143])). 0.18/0.39 fof(f143,plain,( 0.18/0.39 ~spl2_2), 0.18/0.39 inference(avatar_contradiction_clause,[],[f142])). 0.18/0.39 fof(f142,plain,( 0.18/0.39 $false | ~spl2_2), 0.18/0.39 inference(subsumption_resolution,[],[f141,f48])). 0.18/0.39 fof(f48,plain,( 0.18/0.39 sorti1(j(sK0)) | ~spl2_2), 0.18/0.39 inference(avatar_component_clause,[],[f46])). 0.18/0.39 fof(f46,plain,( 0.18/0.39 spl2_2 <=> sorti1(j(sK0))), 0.18/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 0.18/0.39 fof(f141,plain,( 0.18/0.39 ~sorti1(j(sK0))), 0.18/0.39 inference(equality_resolution,[],[f85])). 0.18/0.39 fof(f85,plain,( 0.18/0.39 ( ! [X0] : (j(sK0) != X0 | ~sorti1(X0)) )), 0.18/0.39 inference(subsumption_resolution,[],[f76,f27])). 0.18/0.39 fof(f27,plain,( 0.18/0.39 ( ! [X0] : (sorti1(sK1(X0)) | ~sorti1(X0)) )), 0.18/0.39 inference(cnf_transformation,[],[f16])). 0.18/0.39 fof(f16,plain,( 0.18/0.39 ! [X0] : (? [X1] : (op1(X1,X1) != X0 & sorti1(X1)) | ~sorti1(X0))), 0.18/0.39 inference(ennf_transformation,[],[f10])). 0.18/0.39 fof(f10,plain,( 0.18/0.39 ~? [X0] : (! [X1] : (sorti1(X1) => op1(X1,X1) = X0) & sorti1(X0))), 0.18/0.39 inference(rectify,[],[f5])). 0.18/0.39 fof(f5,axiom,( 0.18/0.39 ~? [X6] : (! [X7] : (sorti1(X7) => op1(X7,X7) = X6) & sorti1(X6))), 0.18/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 0.18/0.39 fof(f76,plain,( 0.18/0.39 ( ! [X0] : (j(sK0) != X0 | ~sorti1(X0) | ~sorti1(sK1(X0))) )), 0.18/0.39 inference(superposition,[],[f28,f74])). 0.18/0.39 fof(f74,plain,( 0.18/0.39 ( ! [X4] : (j(sK0) = op1(X4,X4) | ~sorti1(X4)) )), 0.18/0.39 inference(subsumption_resolution,[],[f68,f29])). 0.18/0.39 fof(f29,plain,( 0.18/0.39 ( ! [X0,X1] : (sorti1(op1(X0,X1)) | ~sorti1(X1) | ~sorti1(X0)) )), 0.18/0.39 inference(cnf_transformation,[],[f17])). 0.18/0.39 fof(f17,plain,( 0.18/0.39 ! [X0] : (! [X1] : (sorti1(op1(X0,X1)) | ~sorti1(X1)) | ~sorti1(X0))), 0.18/0.39 inference(ennf_transformation,[],[f11])). 0.18/0.39 fof(f11,plain,( 0.18/0.39 ! [X0] : (sorti1(X0) => ! [X1] : (sorti1(X1) => sorti1(op1(X0,X1))))), 0.18/0.39 inference(rectify,[],[f3])). 0.18/0.39 fof(f3,axiom,( 0.18/0.39 ! [X6] : (sorti1(X6) => ! [X7] : (sorti1(X7) => sorti1(op1(X6,X7))))), 0.18/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)). 0.18/0.39 fof(f68,plain,( 0.18/0.39 ( ! [X4] : (j(sK0) = op1(X4,X4) | ~sorti1(op1(X4,X4)) | ~sorti1(X4)) )), 0.18/0.39 inference(superposition,[],[f22,f60])). 0.18/0.39 fof(f60,plain,( 0.18/0.39 ( ! [X2] : (sK0 = h(op1(X2,X2)) | ~sorti1(X2)) )), 0.18/0.39 inference(subsumption_resolution,[],[f57,f24])). 0.18/0.39 fof(f24,plain,( 0.18/0.39 ( ! [X1] : (sorti2(h(X1)) | ~sorti1(X1)) )), 0.18/0.39 inference(cnf_transformation,[],[f14])). 0.18/0.39 fof(f14,plain,( 0.18/0.39 ! [X2] : (h(j(X2)) = X2 | ~sorti2(X2)) & ! [X3] : (j(h(X3)) = X3 | ~sorti1(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6)) & ! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1))), 0.18/0.39 inference(flattening,[],[f13])). 0.18/0.39 fof(f13,plain,( 0.18/0.39 (! [X2] : (h(j(X2)) = X2 | ~sorti2(X2)) & ! [X3] : (j(h(X3)) = X3 | ~sorti1(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6))) & (! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1)))), 0.18/0.39 inference(ennf_transformation,[],[f7])). 0.18/0.39 fof(f7,plain,( 0.18/0.39 ~((! [X0] : (sorti2(X0) => sorti1(j(X0))) & ! [X1] : (sorti1(X1) => sorti2(h(X1)))) => ~(! [X2] : (sorti2(X2) => h(j(X2)) = X2) & ! [X3] : (sorti1(X3) => j(h(X3)) = X3) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X6] : (sorti1(X6) => ! [X7] : (sorti1(X7) => op2(h(X6),h(X7)) = h(op1(X6,X7))))))), 0.18/0.39 inference(rectify,[],[f2])). 0.18/0.39 fof(f2,negated_conjecture,( 0.18/0.39 ~((! [X7] : (sorti2(X7) => sorti1(j(X7))) & ! [X6] : (sorti1(X6) => sorti2(h(X6)))) => ~(! [X5] : (sorti2(X5) => h(j(X5)) = X5) & ! [X4] : (sorti1(X4) => j(h(X4)) = X4) & ! [X2] : (sorti2(X2) => ! [X3] : (sorti2(X3) => op1(j(X2),j(X3)) = j(op2(X2,X3)))) & ! [X0] : (sorti1(X0) => ! [X1] : (sorti1(X1) => op2(h(X0),h(X1)) = h(op1(X0,X1))))))), 0.18/0.39 inference(negated_conjecture,[],[f1])). 0.18/0.39 fof(f1,conjecture,( 0.18/0.39 (! [X7] : (sorti2(X7) => sorti1(j(X7))) & ! [X6] : (sorti1(X6) => sorti2(h(X6)))) => ~(! [X5] : (sorti2(X5) => h(j(X5)) = X5) & ! [X4] : (sorti1(X4) => j(h(X4)) = X4) & ! [X2] : (sorti2(X2) => ! [X3] : (sorti2(X3) => op1(j(X2),j(X3)) = j(op2(X2,X3)))) & ! [X0] : (sorti1(X0) => ! [X1] : (sorti1(X1) => op2(h(X0),h(X1)) = h(op1(X0,X1)))))), 0.18/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)). 0.18/0.39 fof(f57,plain,( 0.18/0.39 ( ! [X2] : (sK0 = h(op1(X2,X2)) | ~sorti1(X2) | ~sorti2(h(X2))) )), 0.18/0.39 inference(duplicate_literal_removal,[],[f52])). 0.18/0.39 fof(f52,plain,( 0.18/0.39 ( ! [X2] : (sK0 = h(op1(X2,X2)) | ~sorti1(X2) | ~sorti1(X2) | ~sorti2(h(X2))) )), 0.18/0.39 inference(superposition,[],[f20,f25])). 0.18/0.39 fof(f25,plain,( 0.18/0.39 ( ! [X1] : (op2(X1,X1) = sK0 | ~sorti2(X1)) )), 0.18/0.39 inference(cnf_transformation,[],[f15])). 0.18/0.39 fof(f15,plain,( 0.18/0.39 ? [X0] : (! [X1] : (op2(X1,X1) = X0 | ~sorti2(X1)) & sorti2(X0))), 0.18/0.39 inference(ennf_transformation,[],[f9])). 0.18/0.39 fof(f9,plain,( 0.18/0.39 ? [X0] : (! [X1] : (sorti2(X1) => op2(X1,X1) = X0) & sorti2(X0))), 0.18/0.39 inference(flattening,[],[f8])). 0.18/0.39 fof(f8,plain,( 0.18/0.39 ~~? [X0] : (! [X1] : (sorti2(X1) => op2(X1,X1) = X0) & sorti2(X0))), 0.18/0.39 inference(rectify,[],[f6])). 0.18/0.39 fof(f6,axiom,( 0.18/0.39 ~~? [X6] : (! [X7] : (sorti2(X7) => op2(X7,X7) = X6) & sorti2(X6))), 0.18/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)). 0.18/0.39 fof(f20,plain,( 0.18/0.39 ( ! [X6,X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7) | ~sorti1(X6)) )), 0.18/0.39 inference(cnf_transformation,[],[f14])). 0.18/0.39 fof(f22,plain,( 0.18/0.39 ( ! [X3] : (j(h(X3)) = X3 | ~sorti1(X3)) )), 0.18/0.39 inference(cnf_transformation,[],[f14])). 0.18/0.39 fof(f28,plain,( 0.18/0.39 ( ! [X0] : (op1(sK1(X0),sK1(X0)) != X0 | ~sorti1(X0)) )), 0.18/0.39 inference(cnf_transformation,[],[f16])). 0.18/0.39 fof(f132,plain,( 0.18/0.39 ~spl2_3), 0.18/0.39 inference(avatar_contradiction_clause,[],[f126])). 0.18/0.39 fof(f126,plain,( 0.18/0.39 $false | ~spl2_3), 0.18/0.39 inference(resolution,[],[f101,f26])). 0.18/0.39 fof(f26,plain,( 0.18/0.39 sorti2(sK0)), 0.18/0.39 inference(cnf_transformation,[],[f15])). 0.18/0.39 fof(f101,plain,( 0.18/0.39 ( ! [X3] : (~sorti2(X3)) ) | ~spl2_3), 0.18/0.39 inference(resolution,[],[f88,f23])). 0.18/0.39 fof(f23,plain,( 0.18/0.39 ( ! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) )), 0.18/0.39 inference(cnf_transformation,[],[f14])). 0.18/0.39 fof(f88,plain,( 0.18/0.39 ( ! [X2] : (~sorti1(X2)) ) | ~spl2_3), 0.18/0.39 inference(avatar_component_clause,[],[f87])). 0.18/0.39 fof(f87,plain,( 0.18/0.39 spl2_3 <=> ! [X2] : ~sorti1(X2)), 0.18/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])). 0.18/0.39 fof(f114,plain,( 0.18/0.39 spl2_3 | spl2_2), 0.18/0.39 inference(avatar_split_clause,[],[f82,f46,f87])). 0.18/0.39 fof(f82,plain,( 0.18/0.39 ( ! [X1] : (sorti1(j(sK0)) | ~sorti1(X1)) )), 0.18/0.39 inference(duplicate_literal_removal,[],[f77])). 0.18/0.39 fof(f77,plain,( 0.18/0.39 ( ! [X1] : (sorti1(j(sK0)) | ~sorti1(X1) | ~sorti1(X1) | ~sorti1(X1)) )), 0.18/0.39 inference(superposition,[],[f29,f74])). 0.18/0.39 % SZS output end Proof for theBenchmark 0.18/0.39 % (20856)------------------------------ 0.18/0.39 % (20856)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.18/0.39 % (20856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.18/0.39 % (20856)Termination reason: Refutation 0.18/0.39 0.18/0.39 % (20856)Memory used [KB]: 10746 0.18/0.39 % (20856)Time elapsed: 0.006 s 0.18/0.39 % (20856)------------------------------ 0.18/0.39 % (20856)------------------------------ 0.18/0.39 % (20854)Success in time 0.06 s 0.18/0.39 EOF