0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d 0.14/0.35 % Computer : n007.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Thu Jul 2 07:32:24 EDT 2020 0.14/0.35 % CPUTime : 0.23/0.53 % (8231)lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off_2 on theBenchmark 0.23/0.53 % (8248)ott+1002_8:1_add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.23/0.54 % (8237)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_3 on theBenchmark 0.23/0.54 % (8238)ott+2_2_afp=10000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_18 on theBenchmark 0.23/0.54 % (8236)ott+11_16_av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_14 on theBenchmark 0.23/0.54 % (8230)lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.23/0.55 % (8245)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_9 on theBenchmark 0.23/0.55 % (8251)dis+1011_10_av=off:cond=on:lma=on:nm=0:newcnf=on:nwc=1:sos=on:sp=occurrence:updr=off_4 on theBenchmark 1.32/0.55 % (8254)lrs+1010_3_av=off:fsr=off:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 1.32/0.55 % (8249)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_19 on theBenchmark 1.32/0.55 % (8235)lrs+11_128_av=off:bsr=on:cond=on:gs=on:lcm=reverse:lma=on:nm=32:nwc=1:stl=30:sd=5:ss=axioms:st=3.0_1 on theBenchmark 1.32/0.55 % (8252)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_8 on theBenchmark 1.32/0.55 % (8243)lrs+10_4:1_add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only_22 on theBenchmark 1.32/0.56 % (8232)dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on_6 on theBenchmark 1.32/0.56 % (8253)ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_197 on theBenchmark 1.32/0.56 % (8241)lrs-3_4:1_afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 1.32/0.56 % (8256)lrs+1011_8:1_afr=on:afp=1000:afq=2.0:br=off:gsp=input_only:gs=on:nm=16:nwc=1:stl=30:sos=all:sp=occurrence:urr=on_8 on theBenchmark 1.32/0.56 % (8244)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 1.32/0.56 % (8232)Refutation found. Thanks to Tanya! 1.32/0.56 % SZS status Theorem for theBenchmark 1.32/0.56 % SZS output start Proof for theBenchmark 1.32/0.56 fof(f104,plain,( 1.32/0.56 $false), 1.32/0.56 inference(avatar_sat_refutation,[],[f92,f100,f103])). 1.32/0.56 fof(f103,plain,( 1.32/0.56 spl5_2), 1.32/0.56 inference(avatar_contradiction_clause,[],[f102])). 1.32/0.56 fof(f102,plain,( 1.32/0.56 $false | spl5_2), 1.32/0.56 inference(resolution,[],[f101,f52])). 1.32/0.56 fof(f52,plain,( 1.32/0.56 ( ! [X0] : (~member(X0,empty_set)) )), 1.32/0.56 inference(cnf_transformation,[],[f7])). 1.32/0.56 fof(f7,axiom,( 1.32/0.56 ! [X0] : ~member(X0,empty_set)), 1.32/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set)). 1.32/0.56 fof(f101,plain,( 1.32/0.56 member(sK2(empty_set,intersection(difference(sK1,sK0),sK0)),empty_set) | spl5_2), 1.32/0.56 inference(resolution,[],[f91,f54])). 1.32/0.56 fof(f54,plain,( 1.32/0.56 ( ! [X0,X1] : (subset(X0,X1) | member(sK2(X0,X1),X0)) )), 1.32/0.56 inference(cnf_transformation,[],[f31])). 1.32/0.56 fof(f31,plain,( 1.32/0.56 ! [X0,X1] : ((subset(X0,X1) | (~member(sK2(X0,X1),X1) & member(sK2(X0,X1),X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subset(X0,X1)))), 1.32/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f29,f30])). 1.32/0.56 fof(f30,plain,( 1.32/0.56 ! [X1,X0] : (? [X2] : (~member(X2,X1) & member(X2,X0)) => (~member(sK2(X0,X1),X1) & member(sK2(X0,X1),X0)))), 1.32/0.56 introduced(choice_axiom,[])). 1.32/0.56 fof(f29,plain,( 1.32/0.56 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~member(X2,X1) & member(X2,X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subset(X0,X1)))), 1.32/0.56 inference(rectify,[],[f28])). 1.32/0.56 fof(f28,plain,( 1.32/0.56 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~member(X2,X1) & member(X2,X0))) & (! [X2] : (member(X2,X1) | ~member(X2,X0)) | ~subset(X0,X1)))), 1.32/0.56 inference(nnf_transformation,[],[f22])). 1.32/0.56 fof(f22,plain,( 1.32/0.56 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (member(X2,X1) | ~member(X2,X0)))), 1.32/0.56 inference(ennf_transformation,[],[f15])). 1.32/0.56 fof(f15,plain,( 1.32/0.56 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (member(X2,X0) => member(X2,X1)))), 1.32/0.56 inference(rectify,[],[f6])). 1.32/0.56 fof(f6,axiom,( 1.32/0.56 ! [X1,X2] : (subset(X1,X2) <=> ! [X0] : (member(X0,X1) => member(X0,X2)))), 1.32/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset)). 1.32/0.56 fof(f91,plain,( 1.32/0.56 ~subset(empty_set,intersection(difference(sK1,sK0),sK0)) | spl5_2), 1.32/0.56 inference(avatar_component_clause,[],[f90])). 1.32/0.56 fof(f90,plain,( 1.32/0.56 spl5_2 <=> subset(empty_set,intersection(difference(sK1,sK0),sK0))), 1.32/0.56 introduced(avatar_definition,[new_symbols(naming,[spl5_2])])). 1.32/0.56 fof(f100,plain,( 1.32/0.56 spl5_1), 1.32/0.56 inference(avatar_contradiction_clause,[],[f99])). 1.32/0.56 fof(f99,plain,( 1.32/0.56 $false | spl5_1), 1.32/0.56 inference(subsumption_resolution,[],[f96,f98])). 1.32/0.56 fof(f98,plain,( 1.32/0.56 ~member(sK2(intersection(difference(sK1,sK0),sK0),empty_set),sK0) | spl5_1), 1.32/0.56 inference(resolution,[],[f95,f68])). 1.32/0.56 fof(f68,plain,( 1.32/0.56 ( ! [X2,X0,X1] : (~member(X0,difference(X2,X1)) | ~member(X0,X1)) )), 1.32/0.56 inference(cnf_transformation,[],[f43])). 1.32/0.56 fof(f43,plain,( 1.32/0.56 ! [X0,X1,X2] : ((member(X0,difference(X2,X1)) | member(X0,X1) | ~member(X0,X2)) & ((~member(X0,X1) & member(X0,X2)) | ~member(X0,difference(X2,X1))))), 1.32/0.56 inference(flattening,[],[f42])). 1.32/0.56 fof(f42,plain,( 1.32/0.56 ! [X0,X1,X2] : ((member(X0,difference(X2,X1)) | (member(X0,X1) | ~member(X0,X2))) & ((~member(X0,X1) & member(X0,X2)) | ~member(X0,difference(X2,X1))))), 1.32/0.56 inference(nnf_transformation,[],[f19])). 1.32/0.56 fof(f19,plain,( 1.32/0.56 ! [X0,X1,X2] : (member(X0,difference(X2,X1)) <=> (~member(X0,X1) & member(X0,X2)))), 1.32/0.56 inference(rectify,[],[f3])). 1.32/0.56 fof(f3,axiom,( 1.32/0.56 ! [X2,X1,X4] : (member(X2,difference(X4,X1)) <=> (~member(X2,X1) & member(X2,X4)))), 1.32/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference)). 1.32/0.56 fof(f95,plain,( 1.32/0.56 member(sK2(intersection(difference(sK1,sK0),sK0),empty_set),difference(sK1,sK0)) | spl5_1), 1.32/0.56 inference(resolution,[],[f94,f71])). 1.32/0.56 fof(f71,plain,( 1.32/0.56 ( ! [X2,X0,X1] : (~member(X0,intersection(X1,X2)) | member(X0,X1)) )), 1.32/0.56 inference(cnf_transformation,[],[f45])). 1.32/0.56 fof(f45,plain,( 1.32/0.56 ! [X0,X1,X2] : (((member(X0,X2) & member(X0,X1)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | ~member(X0,X2) | ~member(X0,X1)))), 1.32/0.56 inference(flattening,[],[f44])). 1.32/0.56 fof(f44,plain,( 1.32/0.56 ! [X0,X1,X2] : (((member(X0,X2) & member(X0,X1)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | (~member(X0,X2) | ~member(X0,X1))))), 1.32/0.56 inference(nnf_transformation,[],[f1])). 1.32/0.56 fof(f1,axiom,( 1.32/0.56 ! [X0,X1,X2] : ((member(X0,X2) & member(X0,X1)) <=> member(X0,intersection(X1,X2)))), 1.32/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection)). 1.32/0.56 fof(f94,plain,( 1.32/0.56 member(sK2(intersection(difference(sK1,sK0),sK0),empty_set),intersection(difference(sK1,sK0),sK0)) | spl5_1), 1.32/0.56 inference(resolution,[],[f88,f54])). 1.32/0.56 fof(f88,plain,( 1.32/0.56 ~subset(intersection(difference(sK1,sK0),sK0),empty_set) | spl5_1), 1.32/0.56 inference(avatar_component_clause,[],[f87])). 1.32/0.56 fof(f87,plain,( 1.32/0.56 spl5_1 <=> subset(intersection(difference(sK1,sK0),sK0),empty_set)), 1.32/0.56 introduced(avatar_definition,[new_symbols(naming,[spl5_1])])). 1.32/0.56 fof(f96,plain,( 1.32/0.56 member(sK2(intersection(difference(sK1,sK0),sK0),empty_set),sK0) | spl5_1), 1.32/0.56 inference(resolution,[],[f94,f72])). 1.32/0.56 fof(f72,plain,( 1.32/0.56 ( ! [X2,X0,X1] : (~member(X0,intersection(X1,X2)) | member(X0,X2)) )), 1.32/0.56 inference(cnf_transformation,[],[f45])). 1.32/0.56 fof(f92,plain,( 1.32/0.56 ~spl5_1 | ~spl5_2), 1.32/0.56 inference(avatar_split_clause,[],[f85,f90,f87])). 1.32/0.56 fof(f85,plain,( 1.32/0.56 ~subset(empty_set,intersection(difference(sK1,sK0),sK0)) | ~subset(intersection(difference(sK1,sK0),sK0),empty_set)), 1.32/0.56 inference(resolution,[],[f51,f63])). 1.32/0.56 fof(f63,plain,( 1.32/0.56 ( ! [X0,X1] : (equal_set(X0,X1) | ~subset(X1,X0) | ~subset(X0,X1)) )), 1.32/0.56 inference(cnf_transformation,[],[f24])). 1.32/0.56 fof(f24,plain,( 1.32/0.56 ! [X0,X1] : (equal_set(X0,X1) | ~subset(X1,X0) | ~subset(X0,X1))), 1.32/0.56 inference(flattening,[],[f23])). 1.32/0.56 fof(f23,plain,( 1.32/0.56 ! [X0,X1] : (equal_set(X0,X1) | (~subset(X1,X0) | ~subset(X0,X1)))), 1.32/0.56 inference(ennf_transformation,[],[f20])). 1.32/0.56 fof(f20,plain,( 1.32/0.56 ! [X0,X1] : ((subset(X1,X0) & subset(X0,X1)) => equal_set(X0,X1))), 1.32/0.56 inference(unused_predicate_definition_removal,[],[f17])). 1.32/0.56 fof(f17,plain,( 1.32/0.56 ! [X0,X1] : ((subset(X1,X0) & subset(X0,X1)) <=> equal_set(X0,X1))), 1.32/0.56 inference(rectify,[],[f8])). 1.32/0.56 fof(f8,axiom,( 1.32/0.56 ! [X1,X2] : ((subset(X2,X1) & subset(X1,X2)) <=> equal_set(X1,X2))), 1.32/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set)). 1.32/0.56 fof(f51,plain,( 1.32/0.56 ~equal_set(intersection(difference(sK1,sK0),sK0),empty_set)), 1.32/0.56 inference(cnf_transformation,[],[f27])). 1.32/0.56 fof(f27,plain,( 1.32/0.56 ~equal_set(intersection(difference(sK1,sK0),sK0),empty_set) & subset(sK0,sK1)), 1.32/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f26])). 1.32/0.56 fof(f26,plain,( 1.32/0.56 ? [X0,X1] : (~equal_set(intersection(difference(X1,X0),X0),empty_set) & subset(X0,X1)) => (~equal_set(intersection(difference(sK1,sK0),sK0),empty_set) & subset(sK0,sK1))), 1.32/0.56 introduced(choice_axiom,[])). 1.32/0.56 fof(f21,plain,( 1.32/0.56 ? [X0,X1] : (~equal_set(intersection(difference(X1,X0),X0),empty_set) & subset(X0,X1))), 1.32/0.56 inference(ennf_transformation,[],[f14])). 1.32/0.56 fof(f14,plain,( 1.32/0.56 ~! [X0,X1] : (subset(X0,X1) => equal_set(intersection(difference(X1,X0),X0),empty_set))), 1.32/0.56 inference(rectify,[],[f13])). 1.32/0.56 fof(f13,negated_conjecture,( 1.32/0.56 ~! [X1,X4] : (subset(X1,X4) => equal_set(intersection(difference(X4,X1),X1),empty_set))), 1.32/0.56 inference(negated_conjecture,[],[f12])). 1.32/0.56 fof(f12,conjecture,( 1.32/0.56 ! [X1,X4] : (subset(X1,X4) => equal_set(intersection(difference(X4,X1),X1),empty_set))), 1.32/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI28)). 1.32/0.56 % SZS output end Proof for theBenchmark 1.32/0.56 % (8232)------------------------------ 1.32/0.56 % (8232)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.32/0.56 % (8232)Termination reason: Refutation 1.32/0.56 1.32/0.56 % (8232)Memory used [KB]: 10746 1.32/0.56 % (8232)Time elapsed: 0.138 s 1.32/0.56 % (8232)------------------------------ 1.32/0.56 % (8232)------------------------------ 1.32/0.56 % (8246)dis+1_2:3_acc=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 1.32/0.56 % (8229)Success in time 0.186 s 1.32/0.56 EOF