0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.09/0.31 % Computer : n003.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Tue Aug 9 03:30:06 EDT 2022 0.09/0.31 % CPUTime : 0.14/0.31 This is a FOF_ problem 0.14/0.31 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.32 % (12684)Running in auto input_syntax mode. Trying TPTP 0.14/0.37 % (12688)lrs+2_5:4_av=off:bce=on:cond=fast:ep=R:fde=none:gs=on:lcm=reverse:lwlo=on:nwc=1:stl=30:sd=1:ss=axioms:sos=all:sp=occurrence_8 on theBenchmark 0.14/0.38 % (12689)dis+4_8:1_add=large:afp=100000:afq=1.4:ep=RST:fde=unused:gsp=on:lcm=predicate:nwc=1:sos=all:sp=occurrence:updr=off:uhcvi=on_33 on theBenchmark 0.14/0.38 % (12690)lrs+11_4_av=off:gsp=on:irw=on:lma=on:nm=0:nwc=1.2:stl=30:sd=2:ss=axioms:sp=reverse_arity:urr=on:updr=off_8 on theBenchmark 0.14/0.38 % (12686)lrs+1011_4:1_acc=model:add=large:afp=40000:afq=1.4:ccuc=first:cond=on:fsr=off:gsp=on:gs=on:gsem=off:irw=on:nwc=1:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:urr=on_21 on theBenchmark 0.14/0.38 % (12691)dis+1004_1_aac=none:acc=on:afp=40000:afq=1.2:anc=none:cond=on:fde=unused:gs=on:gsem=off:irw=on:nm=32:nwc=2:sd=1:ss=axioms:sos=theory:sp=reverse_arity:urr=ec_only_17 on theBenchmark 0.14/0.38 % (12687)lrs+1002_8:1_av=off:cond=on:gsp=on:gs=on:irw=on:lma=on:nm=0:nwc=1.7:stl=30:sd=2:ss=axioms:sos=on:sp=occurrence:urr=on_41 on theBenchmark 0.14/0.44 % (12692)lrs+1002_4:1_aac=none:add=off:afr=on:afp=40000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:fde=none:gs=on:gsaa=full_model:lma=on:nm=16:nwc=1:sas=z3:stl=30:sd=7:ss=axioms:sos=on:sp=occurrence:updr=off:uhcvi=on_6 on theBenchmark 0.14/0.44 % (12685)lrs-11_3_av=off:bs=unit_only:bsr=on:cond=on:gsp=on:gs=on:gsem=on:lma=on:nm=2:nwc=1:stl=30:sd=3:ss=axioms:st=1.2:sos=all:sp=reverse_arity:urr=on:updr=off_11 on theBenchmark 0.14/0.45 % (12691)First to succeed. 0.14/0.45 % (12691)Refutation found. Thanks to Tanya! 0.14/0.45 % SZS status Theorem for theBenchmark 0.14/0.45 % SZS output start Proof for theBenchmark 0.14/0.45 fof(f2326,plain,( 0.14/0.45 $false), 0.14/0.45 inference(avatar_sat_refutation,[],[f623,f627,f631,f1715,f1875,f1904,f2211,f2237,f2312,f2321])). 0.14/0.45 fof(f2321,plain,( 0.14/0.45 ~spl38_3 | ~spl38_4 | spl38_94), 0.14/0.45 inference(avatar_contradiction_clause,[],[f2318])). 0.14/0.45 fof(f2318,plain,( 0.14/0.45 $false | (~spl38_3 | ~spl38_4 | spl38_94)), 0.14/0.45 inference(unit_resulting_resolution,[],[f630,f626,f2311,f430])). 0.14/0.45 fof(f430,plain,( 0.14/0.45 ( ! [X2,X0,X1] : (~relation(X2) | ~in(ordered_pair(X0,X1),X2) | in(X1,relation_rng(X2))) )), 0.14/0.45 inference(cnf_transformation,[],[f196])). 0.14/0.45 fof(f196,plain,( 0.14/0.45 ! [X0,X1,X2] : ((in(X1,relation_rng(X2)) & in(X0,relation_dom(X2))) | ~in(ordered_pair(X0,X1),X2) | ~relation(X2))), 0.14/0.45 inference(flattening,[],[f195])). 0.14/0.45 fof(f195,plain,( 0.14/0.45 ! [X0,X1,X2] : (((in(X1,relation_rng(X2)) & in(X0,relation_dom(X2))) | ~in(ordered_pair(X0,X1),X2)) | ~relation(X2))), 0.14/0.45 inference(ennf_transformation,[],[f90])). 0.14/0.45 fof(f90,axiom,( 0.14/0.45 ! [X0,X1,X2] : (relation(X2) => (in(ordered_pair(X0,X1),X2) => (in(X1,relation_rng(X2)) & in(X0,relation_dom(X2)))))), 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1)). 0.14/0.45 fof(f2311,plain,( 0.14/0.45 ~in(sK1,relation_rng(sK2)) | spl38_94), 0.14/0.45 inference(avatar_component_clause,[],[f2310])). 0.14/0.45 fof(f2310,plain,( 0.14/0.45 spl38_94 <=> in(sK1,relation_rng(sK2))), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_94])])). 0.14/0.45 fof(f626,plain,( 0.14/0.45 in(ordered_pair(sK0,sK1),sK2) | ~spl38_3), 0.14/0.45 inference(avatar_component_clause,[],[f625])). 0.14/0.45 fof(f625,plain,( 0.14/0.45 spl38_3 <=> in(ordered_pair(sK0,sK1),sK2)), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_3])])). 0.14/0.45 fof(f630,plain,( 0.14/0.45 relation(sK2) | ~spl38_4), 0.14/0.45 inference(avatar_component_clause,[],[f629])). 0.14/0.45 fof(f629,plain,( 0.14/0.45 spl38_4 <=> relation(sK2)), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_4])])). 0.14/0.45 fof(f2312,plain,( 0.14/0.45 ~spl38_94 | spl38_1 | ~spl38_69), 0.14/0.45 inference(avatar_split_clause,[],[f2298,f1902,f618,f2310])). 0.14/0.45 fof(f618,plain,( 0.14/0.45 spl38_1 <=> in(sK1,relation_field(sK2))), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_1])])). 0.14/0.45 fof(f1902,plain,( 0.14/0.45 spl38_69 <=> subset(relation_rng(sK2),relation_field(sK2))), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_69])])). 0.14/0.45 fof(f2298,plain,( 0.14/0.45 ~in(sK1,relation_rng(sK2)) | (spl38_1 | ~spl38_69)), 0.14/0.45 inference(resolution,[],[f2242,f1903])). 0.14/0.45 fof(f1903,plain,( 0.14/0.45 subset(relation_rng(sK2),relation_field(sK2)) | ~spl38_69), 0.14/0.45 inference(avatar_component_clause,[],[f1902])). 0.14/0.45 fof(f2242,plain,( 0.14/0.45 ( ! [X0] : (~subset(X0,relation_field(sK2)) | ~in(sK1,X0)) ) | spl38_1), 0.14/0.45 inference(resolution,[],[f619,f480])). 0.14/0.45 fof(f480,plain,( 0.14/0.45 ( ! [X2,X0,X1] : (in(X2,X1) | ~in(X2,X0) | ~subset(X0,X1)) )), 0.14/0.45 inference(cnf_transformation,[],[f306])). 0.14/0.45 fof(f306,plain,( 0.14/0.45 ! [X0,X1] : ((! [X2] : (in(X2,X1) | ~in(X2,X0)) | ~subset(X0,X1)) & (subset(X0,X1) | (~in(sK15(X0,X1),X1) & in(sK15(X0,X1),X0))))), 0.14/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f304,f305])). 0.14/0.45 fof(f305,plain,( 0.14/0.45 ! [X0,X1] : (? [X3] : (~in(X3,X1) & in(X3,X0)) => (~in(sK15(X0,X1),X1) & in(sK15(X0,X1),X0)))), 0.14/0.45 introduced(choice_axiom,[])). 0.14/0.45 fof(f304,plain,( 0.14/0.45 ! [X0,X1] : ((! [X2] : (in(X2,X1) | ~in(X2,X0)) | ~subset(X0,X1)) & (subset(X0,X1) | ? [X3] : (~in(X3,X1) & in(X3,X0))))), 0.14/0.45 inference(rectify,[],[f303])). 0.14/0.45 fof(f303,plain,( 0.14/0.45 ! [X0,X1] : ((! [X2] : (in(X2,X1) | ~in(X2,X0)) | ~subset(X0,X1)) & (subset(X0,X1) | ? [X2] : (~in(X2,X1) & in(X2,X0))))), 0.14/0.45 inference(nnf_transformation,[],[f224])). 0.14/0.45 fof(f224,plain,( 0.14/0.45 ! [X0,X1] : (! [X2] : (in(X2,X1) | ~in(X2,X0)) <=> subset(X0,X1))), 0.14/0.45 inference(ennf_transformation,[],[f150])). 0.14/0.45 fof(f150,axiom,( 0.14/0.45 ! [X0,X1] : (! [X2] : (in(X2,X0) => in(X2,X1)) <=> subset(X0,X1))), 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)). 0.14/0.45 fof(f619,plain,( 0.14/0.45 ~in(sK1,relation_field(sK2)) | spl38_1), 0.14/0.45 inference(avatar_component_clause,[],[f618])). 0.14/0.45 fof(f2237,plain,( 0.14/0.45 ~spl38_3 | ~spl38_4 | spl38_90), 0.14/0.45 inference(avatar_contradiction_clause,[],[f2234])). 0.14/0.45 fof(f2234,plain,( 0.14/0.45 $false | (~spl38_3 | ~spl38_4 | spl38_90)), 0.14/0.45 inference(unit_resulting_resolution,[],[f630,f626,f2210,f429])). 0.14/0.45 fof(f429,plain,( 0.14/0.45 ( ! [X2,X0,X1] : (~relation(X2) | ~in(ordered_pair(X0,X1),X2) | in(X0,relation_dom(X2))) )), 0.14/0.45 inference(cnf_transformation,[],[f196])). 0.14/0.45 fof(f2210,plain,( 0.14/0.45 ~in(sK0,relation_dom(sK2)) | spl38_90), 0.14/0.45 inference(avatar_component_clause,[],[f2209])). 0.14/0.45 fof(f2209,plain,( 0.14/0.45 spl38_90 <=> in(sK0,relation_dom(sK2))), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_90])])). 0.14/0.45 fof(f2211,plain,( 0.14/0.45 ~spl38_90 | spl38_2 | ~spl38_61), 0.14/0.45 inference(avatar_split_clause,[],[f2196,f1873,f621,f2209])). 0.14/0.45 fof(f621,plain,( 0.14/0.45 spl38_2 <=> in(sK0,relation_field(sK2))), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_2])])). 0.14/0.45 fof(f1873,plain,( 0.14/0.45 spl38_61 <=> subset(relation_dom(sK2),relation_field(sK2))), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_61])])). 0.14/0.45 fof(f2196,plain,( 0.14/0.45 ~in(sK0,relation_dom(sK2)) | (spl38_2 | ~spl38_61)), 0.14/0.45 inference(resolution,[],[f2045,f1874])). 0.14/0.45 fof(f1874,plain,( 0.14/0.45 subset(relation_dom(sK2),relation_field(sK2)) | ~spl38_61), 0.14/0.45 inference(avatar_component_clause,[],[f1873])). 0.14/0.45 fof(f2045,plain,( 0.14/0.45 ( ! [X0] : (~subset(X0,relation_field(sK2)) | ~in(sK0,X0)) ) | spl38_2), 0.14/0.45 inference(resolution,[],[f622,f480])). 0.14/0.45 fof(f622,plain,( 0.14/0.45 ~in(sK0,relation_field(sK2)) | spl38_2), 0.14/0.45 inference(avatar_component_clause,[],[f621])). 0.14/0.45 fof(f1904,plain,( 0.14/0.45 spl38_69 | ~spl38_58), 0.14/0.45 inference(avatar_split_clause,[],[f1871,f1713,f1902])). 0.14/0.45 fof(f1713,plain,( 0.14/0.45 spl38_58 <=> relation_field(sK2) = set_union2(relation_dom(sK2),relation_rng(sK2))), 0.14/0.45 introduced(avatar_definition,[new_symbols(naming,[spl38_58])])). 0.14/0.45 fof(f1871,plain,( 0.14/0.45 subset(relation_rng(sK2),relation_field(sK2)) | ~spl38_58), 0.14/0.45 inference(superposition,[],[f744,f1714])). 0.14/0.45 fof(f1714,plain,( 0.14/0.45 relation_field(sK2) = set_union2(relation_dom(sK2),relation_rng(sK2)) | ~spl38_58), 0.14/0.45 inference(avatar_component_clause,[],[f1713])). 0.14/0.45 fof(f744,plain,( 0.14/0.45 ( ! [X4,X5] : (subset(X4,set_union2(X5,X4))) )), 0.14/0.45 inference(superposition,[],[f381,f537])). 0.14/0.45 fof(f537,plain,( 0.14/0.45 ( ! [X0,X1] : (set_union2(X0,X1) = set_union2(X1,X0)) )), 0.14/0.45 inference(cnf_transformation,[],[f128])). 0.14/0.45 fof(f128,axiom,( 0.14/0.45 ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0)), 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0)). 0.14/0.45 fof(f381,plain,( 0.14/0.45 ( ! [X0,X1] : (subset(X0,set_union2(X0,X1))) )), 0.14/0.45 inference(cnf_transformation,[],[f103])). 0.14/0.45 fof(f103,axiom,( 0.14/0.45 ! [X0,X1] : subset(X0,set_union2(X0,X1))), 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1)). 0.14/0.45 fof(f1875,plain,( 0.14/0.45 spl38_61 | ~spl38_58), 0.14/0.45 inference(avatar_split_clause,[],[f1864,f1713,f1873])). 0.14/0.45 fof(f1864,plain,( 0.14/0.45 subset(relation_dom(sK2),relation_field(sK2)) | ~spl38_58), 0.14/0.45 inference(superposition,[],[f381,f1714])). 0.14/0.45 fof(f1715,plain,( 0.14/0.45 spl38_58 | ~spl38_4), 0.14/0.45 inference(avatar_split_clause,[],[f1710,f629,f1713])). 0.14/0.45 fof(f1710,plain,( 0.14/0.45 relation_field(sK2) = set_union2(relation_dom(sK2),relation_rng(sK2)) | ~spl38_4), 0.14/0.45 inference(resolution,[],[f456,f630])). 0.14/0.45 fof(f456,plain,( 0.14/0.45 ( ! [X0] : (~relation(X0) | set_union2(relation_dom(X0),relation_rng(X0)) = relation_field(X0)) )), 0.14/0.45 inference(cnf_transformation,[],[f218])). 0.14/0.45 fof(f218,plain,( 0.14/0.45 ! [X0] : (set_union2(relation_dom(X0),relation_rng(X0)) = relation_field(X0) | ~relation(X0))), 0.14/0.45 inference(ennf_transformation,[],[f18])). 0.14/0.45 fof(f18,axiom,( 0.14/0.45 ! [X0] : (relation(X0) => set_union2(relation_dom(X0),relation_rng(X0)) = relation_field(X0))), 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_1)). 0.14/0.45 fof(f631,plain,( 0.14/0.45 spl38_4), 0.14/0.45 inference(avatar_split_clause,[],[f365,f629])). 0.14/0.45 fof(f365,plain,( 0.14/0.45 relation(sK2)), 0.14/0.45 inference(cnf_transformation,[],[f254])). 0.14/0.45 fof(f254,plain,( 0.14/0.45 (~in(sK0,relation_field(sK2)) | ~in(sK1,relation_field(sK2))) & in(ordered_pair(sK0,sK1),sK2) & relation(sK2)), 0.14/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f164,f253])). 0.14/0.45 fof(f253,plain,( 0.14/0.45 ? [X0,X1,X2] : ((~in(X0,relation_field(X2)) | ~in(X1,relation_field(X2))) & in(ordered_pair(X0,X1),X2) & relation(X2)) => ((~in(sK0,relation_field(sK2)) | ~in(sK1,relation_field(sK2))) & in(ordered_pair(sK0,sK1),sK2) & relation(sK2))), 0.14/0.45 introduced(choice_axiom,[])). 0.14/0.45 fof(f164,plain,( 0.14/0.45 ? [X0,X1,X2] : ((~in(X0,relation_field(X2)) | ~in(X1,relation_field(X2))) & in(ordered_pair(X0,X1),X2) & relation(X2))), 0.14/0.45 inference(flattening,[],[f163])). 0.14/0.45 fof(f163,plain,( 0.14/0.45 ? [X0,X1,X2] : (((~in(X0,relation_field(X2)) | ~in(X1,relation_field(X2))) & in(ordered_pair(X0,X1),X2)) & relation(X2))), 0.14/0.45 inference(ennf_transformation,[],[f93])). 0.14/0.45 fof(f93,negated_conjecture,( 0.14/0.45 ~! [X0,X1,X2] : (relation(X2) => (in(ordered_pair(X0,X1),X2) => (in(X0,relation_field(X2)) & in(X1,relation_field(X2)))))), 0.14/0.45 inference(negated_conjecture,[],[f92])). 0.14/0.45 fof(f92,conjecture,( 0.14/0.45 ! [X0,X1,X2] : (relation(X2) => (in(ordered_pair(X0,X1),X2) => (in(X0,relation_field(X2)) & in(X1,relation_field(X2)))))), 0.14/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1)). 0.14/0.45 fof(f627,plain,( 0.14/0.45 spl38_3), 0.14/0.45 inference(avatar_split_clause,[],[f366,f625])). 0.14/0.45 fof(f366,plain,( 0.14/0.45 in(ordered_pair(sK0,sK1),sK2)), 0.14/0.45 inference(cnf_transformation,[],[f254])). 0.14/0.45 fof(f623,plain,( 0.14/0.45 ~spl38_1 | ~spl38_2), 0.14/0.45 inference(avatar_split_clause,[],[f367,f621,f618])). 0.14/0.45 fof(f367,plain,( 0.14/0.45 ~in(sK0,relation_field(sK2)) | ~in(sK1,relation_field(sK2))), 0.14/0.45 inference(cnf_transformation,[],[f254])). 0.14/0.45 % SZS output end Proof for theBenchmark 0.14/0.45 % (12691)------------------------------ 0.14/0.45 % (12691)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.14/0.45 % (12691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.45 % (12691)Termination reason: Refutation 0.14/0.45 0.14/0.45 % (12691)Memory used [KB]: 13048 0.14/0.45 % (12691)Time elapsed: 0.071 s 0.14/0.45 % (12691)------------------------------ 0.14/0.45 % (12691)------------------------------ 0.14/0.45 % (12684)Success in time 0.132 s 0.14/0.45 EOF