0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.34 % Computer : n027.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 02:33:36 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.35 This is a FOF_ problem 0.13/0.35 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % (24083)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (24089)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 0.20/0.42 % (24092)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 0.20/0.42 % (24094)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 0.20/0.42 % (24095)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 0.20/0.43 % (24091)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 0.20/0.45 % (24093)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 0.20/0.45 % (24088)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 0.20/0.46 % (24087)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 0.20/0.47 % (24094)First to succeed. 0.20/0.47 % (24094)Refutation found. Thanks to Tanya! 0.20/0.47 % SZS status Theorem for theBenchmark 0.20/0.47 % SZS output start Proof for theBenchmark 0.20/0.47 fof(f1358,plain,( 0.20/0.47 $false), 0.20/0.47 inference(avatar_sat_refutation,[],[f27,f31,f35,f39,f44,f63,f75,f113,f117,f125,f204,f430,f452,f472,f537,f558,f774,f1204,f1346,f1357])). 0.20/0.47 fof(f1357,plain,( 0.20/0.47 times(sK1,sK2) != times(sK2,sK1) | times(sK2,sK2) != times(sK0,times(sK2,sK1)) | times(sK2,sK2) = times(sK0,times(sK1,sK2))), 0.20/0.47 introduced(theory_tautology_sat_conflict,[])). 0.20/0.47 fof(f1346,plain,( 0.20/0.47 spl4_5 | ~spl4_7 | ~spl4_38 | ~spl4_67 | ~spl4_100), 0.20/0.47 inference(avatar_split_clause,[],[f1344,f1202,f802,f470,f73,f42])). 0.20/0.47 fof(f42,plain,( 0.20/0.47 spl4_5 <=> sK2 = times(sK2,times(sK2,sK2))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])). 0.20/0.47 fof(f73,plain,( 0.20/0.47 spl4_7 <=> times(sK0,times(sK1,sK2)) = times(sK3(sK0),sK3(sK1))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_7])])). 0.20/0.47 fof(f470,plain,( 0.20/0.47 spl4_38 <=> sK2 = times(sK2,sK3(sK1))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_38])])). 0.20/0.47 fof(f802,plain,( 0.20/0.47 spl4_67 <=> times(sK2,sK2) = times(sK0,times(sK1,sK2))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_67])])). 0.20/0.47 fof(f1202,plain,( 0.20/0.47 spl4_100 <=> ! [X13] : times(sK2,times(sK3(sK0),X13)) = times(sK2,X13)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_100])])). 0.20/0.47 fof(f1344,plain,( 0.20/0.47 sK2 = times(sK2,times(sK2,sK2)) | (~spl4_7 | ~spl4_38 | ~spl4_67 | ~spl4_100)), 0.20/0.47 inference(forward_demodulation,[],[f1343,f471])). 0.20/0.47 fof(f471,plain,( 0.20/0.47 sK2 = times(sK2,sK3(sK1)) | ~spl4_38), 0.20/0.47 inference(avatar_component_clause,[],[f470])). 0.20/0.47 fof(f1343,plain,( 0.20/0.47 times(sK2,times(sK2,sK2)) = times(sK2,sK3(sK1)) | (~spl4_7 | ~spl4_67 | ~spl4_100)), 0.20/0.47 inference(forward_demodulation,[],[f1331,f803])). 0.20/0.47 fof(f803,plain,( 0.20/0.47 times(sK2,sK2) = times(sK0,times(sK1,sK2)) | ~spl4_67), 0.20/0.47 inference(avatar_component_clause,[],[f802])). 0.20/0.47 fof(f1331,plain,( 0.20/0.47 times(sK2,sK3(sK1)) = times(sK2,times(sK0,times(sK1,sK2))) | (~spl4_7 | ~spl4_100)), 0.20/0.47 inference(superposition,[],[f1203,f74])). 0.20/0.47 fof(f74,plain,( 0.20/0.47 times(sK0,times(sK1,sK2)) = times(sK3(sK0),sK3(sK1)) | ~spl4_7), 0.20/0.47 inference(avatar_component_clause,[],[f73])). 0.20/0.47 fof(f1203,plain,( 0.20/0.47 ( ! [X13] : (times(sK2,times(sK3(sK0),X13)) = times(sK2,X13)) ) | ~spl4_100), 0.20/0.47 inference(avatar_component_clause,[],[f1202])). 0.20/0.47 fof(f1204,plain,( 0.20/0.47 ~spl4_2 | spl4_100 | ~spl4_3), 0.20/0.47 inference(avatar_split_clause,[],[f1200,f33,f1202,f29])). 0.20/0.47 fof(f29,plain,( 0.20/0.47 spl4_2 <=> element(sK0)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])). 0.20/0.47 fof(f33,plain,( 0.20/0.47 spl4_3 <=> sK2 = times(sK0,sK1)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])). 0.20/0.47 fof(f1200,plain,( 0.20/0.47 ( ! [X13] : (times(sK2,times(sK3(sK0),X13)) = times(sK2,X13) | ~element(sK0)) ) | ~spl4_3), 0.20/0.47 inference(forward_demodulation,[],[f1158,f46])). 0.20/0.47 fof(f46,plain,( 0.20/0.47 ( ! [X0] : (times(sK1,times(X0,sK0)) = times(sK2,X0)) ) | ~spl4_3), 0.20/0.47 inference(superposition,[],[f22,f34])). 0.20/0.47 fof(f34,plain,( 0.20/0.47 sK2 = times(sK0,sK1) | ~spl4_3), 0.20/0.47 inference(avatar_component_clause,[],[f33])). 0.20/0.47 fof(f22,plain,( 0.20/0.47 ( ! [X2,X0,X1] : (times(times(X0,X1),X2) = times(X1,times(X2,X0))) )), 0.20/0.47 inference(cnf_transformation,[],[f6])). 0.20/0.47 fof(f6,plain,( 0.20/0.47 ! [X0,X1,X2] : times(times(X0,X1),X2) = times(X1,times(X2,X0))), 0.20/0.47 inference(rectify,[],[f4])). 0.20/0.47 fof(f4,axiom,( 0.20/0.47 ! [X2,X0,X1] : times(times(X2,X0),X1) = times(X0,times(X1,X2))), 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1)). 0.20/0.47 fof(f1158,plain,( 0.20/0.47 ( ! [X13] : (times(sK2,times(sK3(sK0),X13)) = times(sK1,times(X13,sK0)) | ~element(sK0)) ) | ~spl4_3), 0.20/0.47 inference(superposition,[],[f57,f20])). 0.20/0.47 fof(f20,plain,( 0.20/0.47 ( ! [X0] : (times(X0,sK3(X0)) = X0 | ~element(X0)) )), 0.20/0.47 inference(cnf_transformation,[],[f14])). 0.20/0.47 fof(f14,plain,( 0.20/0.47 ! [X0] : ((element(X0) | ! [X1] : (times(X0,X1) != X0 | times(X0,X0) != X1)) & ((times(X0,sK3(X0)) = X0 & times(X0,X0) = sK3(X0)) | ~element(X0)))), 0.20/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f12,f13])). 0.20/0.47 fof(f13,plain,( 0.20/0.47 ! [X0] : (? [X2] : (times(X0,X2) = X0 & times(X0,X0) = X2) => (times(X0,sK3(X0)) = X0 & times(X0,X0) = sK3(X0)))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f12,plain,( 0.20/0.47 ! [X0] : ((element(X0) | ! [X1] : (times(X0,X1) != X0 | times(X0,X0) != X1)) & (? [X2] : (times(X0,X2) = X0 & times(X0,X0) = X2) | ~element(X0)))), 0.20/0.47 inference(rectify,[],[f11])). 0.20/0.47 fof(f11,plain,( 0.20/0.47 ! [X0] : ((element(X0) | ! [X1] : (times(X0,X1) != X0 | times(X0,X0) != X1)) & (? [X1] : (times(X0,X1) = X0 & times(X0,X0) = X1) | ~element(X0)))), 0.20/0.47 inference(nnf_transformation,[],[f1])). 0.20/0.47 fof(f1,axiom,( 0.20/0.47 ! [X0] : (element(X0) <=> ? [X1] : (times(X0,X1) = X0 & times(X0,X0) = X1))), 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2)). 0.20/0.47 fof(f57,plain,( 0.20/0.47 ( ! [X0,X1] : (times(sK2,times(X0,X1)) = times(sK1,times(X1,times(sK0,X0)))) ) | ~spl4_3), 0.20/0.47 inference(superposition,[],[f46,f22])). 0.20/0.47 fof(f774,plain,( 0.20/0.47 spl4_64 | ~spl4_14 | ~spl4_34 | ~spl4_38), 0.20/0.47 inference(avatar_split_clause,[],[f770,f470,f428,f123,f772])). 0.20/0.47 fof(f772,plain,( 0.20/0.47 spl4_64 <=> times(sK1,sK2) = times(sK2,sK1)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_64])])). 0.20/0.47 fof(f123,plain,( 0.20/0.47 spl4_14 <=> times(sK2,sK3(sK1)) = times(sK1,times(sK1,sK2))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_14])])). 0.20/0.47 fof(f428,plain,( 0.20/0.47 spl4_34 <=> sK2 = times(sK2,times(sK1,sK1))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_34])])). 0.20/0.47 fof(f770,plain,( 0.20/0.47 times(sK1,sK2) = times(sK2,sK1) | (~spl4_14 | ~spl4_34 | ~spl4_38)), 0.20/0.47 inference(forward_demodulation,[],[f753,f471])). 0.20/0.47 fof(f753,plain,( 0.20/0.47 times(sK2,sK1) = times(sK1,times(sK2,sK3(sK1))) | (~spl4_14 | ~spl4_34)), 0.20/0.47 inference(superposition,[],[f466,f124])). 0.20/0.47 fof(f124,plain,( 0.20/0.47 times(sK2,sK3(sK1)) = times(sK1,times(sK1,sK2)) | ~spl4_14), 0.20/0.47 inference(avatar_component_clause,[],[f123])). 0.20/0.47 fof(f466,plain,( 0.20/0.47 ( ! [X0] : (times(sK2,X0) = times(sK1,times(X0,times(sK1,sK2)))) ) | ~spl4_34), 0.20/0.47 inference(superposition,[],[f49,f429])). 0.20/0.47 fof(f429,plain,( 0.20/0.47 sK2 = times(sK2,times(sK1,sK1)) | ~spl4_34), 0.20/0.47 inference(avatar_component_clause,[],[f428])). 0.20/0.47 fof(f49,plain,( 0.20/0.47 ( ! [X8,X6,X7,X5] : (times(X7,times(X8,times(X5,X6))) = times(times(X6,times(X7,X5)),X8)) )), 0.20/0.47 inference(superposition,[],[f22,f22])). 0.20/0.47 fof(f558,plain,( 0.20/0.47 spl4_46 | ~spl4_3 | ~spl4_13 | ~spl4_42), 0.20/0.47 inference(avatar_split_clause,[],[f554,f535,f115,f33,f556])). 0.20/0.47 fof(f556,plain,( 0.20/0.47 spl4_46 <=> times(sK2,sK2) = times(sK0,times(sK2,sK1))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_46])])). 0.20/0.47 fof(f115,plain,( 0.20/0.47 spl4_13 <=> times(sK1,sK2) = times(sK3(sK1),sK0)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_13])])). 0.20/0.47 fof(f535,plain,( 0.20/0.47 spl4_42 <=> times(sK0,sK3(sK1)) = times(sK2,sK1)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_42])])). 0.20/0.47 fof(f554,plain,( 0.20/0.47 times(sK2,sK2) = times(sK0,times(sK2,sK1)) | (~spl4_3 | ~spl4_13 | ~spl4_42)), 0.20/0.47 inference(forward_demodulation,[],[f551,f34])). 0.20/0.47 fof(f551,plain,( 0.20/0.47 times(sK2,times(sK0,sK1)) = times(sK0,times(sK2,sK1)) | (~spl4_13 | ~spl4_42)), 0.20/0.47 inference(superposition,[],[f126,f536])). 0.20/0.47 fof(f536,plain,( 0.20/0.47 times(sK0,sK3(sK1)) = times(sK2,sK1) | ~spl4_42), 0.20/0.47 inference(avatar_component_clause,[],[f535])). 0.20/0.47 fof(f126,plain,( 0.20/0.47 ( ! [X0] : (times(sK0,times(X0,sK3(sK1))) = times(sK2,times(X0,sK1))) ) | ~spl4_13), 0.20/0.47 inference(forward_demodulation,[],[f121,f22])). 0.20/0.47 fof(f121,plain,( 0.20/0.47 ( ! [X0] : (times(sK0,times(X0,sK3(sK1))) = times(times(sK1,sK2),X0)) ) | ~spl4_13), 0.20/0.47 inference(superposition,[],[f22,f116])). 0.20/0.47 fof(f116,plain,( 0.20/0.47 times(sK1,sK2) = times(sK3(sK1),sK0) | ~spl4_13), 0.20/0.47 inference(avatar_component_clause,[],[f115])). 0.20/0.47 fof(f537,plain,( 0.20/0.47 ~spl4_4 | spl4_42 | ~spl4_37), 0.20/0.47 inference(avatar_split_clause,[],[f530,f450,f535,f37])). 0.20/0.47 fof(f37,plain,( 0.20/0.47 spl4_4 <=> element(sK1)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])). 0.20/0.47 fof(f450,plain,( 0.20/0.47 spl4_37 <=> times(sK0,sK3(sK1)) = times(sK2,times(sK1,sK3(sK1)))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_37])])). 0.20/0.47 fof(f530,plain,( 0.20/0.47 times(sK0,sK3(sK1)) = times(sK2,sK1) | ~element(sK1) | ~spl4_37), 0.20/0.47 inference(superposition,[],[f451,f20])). 0.20/0.47 fof(f451,plain,( 0.20/0.47 times(sK0,sK3(sK1)) = times(sK2,times(sK1,sK3(sK1))) | ~spl4_37), 0.20/0.47 inference(avatar_component_clause,[],[f450])). 0.20/0.47 fof(f472,plain,( 0.20/0.47 ~spl4_4 | spl4_38 | ~spl4_34), 0.20/0.47 inference(avatar_split_clause,[],[f465,f428,f470,f37])). 0.20/0.47 fof(f465,plain,( 0.20/0.47 sK2 = times(sK2,sK3(sK1)) | ~element(sK1) | ~spl4_34), 0.20/0.47 inference(superposition,[],[f429,f19])). 0.20/0.47 fof(f19,plain,( 0.20/0.47 ( ! [X0] : (times(X0,X0) = sK3(X0) | ~element(X0)) )), 0.20/0.47 inference(cnf_transformation,[],[f14])). 0.20/0.47 fof(f452,plain,( 0.20/0.47 spl4_37 | ~spl4_12 | ~spl4_13 | ~spl4_25), 0.20/0.47 inference(avatar_split_clause,[],[f448,f202,f115,f111,f450])). 0.20/0.47 fof(f111,plain,( 0.20/0.47 spl4_12 <=> times(sK3(sK1),sK1) = times(sK1,sK3(sK1))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_12])])). 0.20/0.47 fof(f202,plain,( 0.20/0.47 spl4_25 <=> sK3(sK1) = times(sK3(sK1),sK3(sK1))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_25])])). 0.20/0.47 fof(f448,plain,( 0.20/0.47 times(sK0,sK3(sK1)) = times(sK2,times(sK1,sK3(sK1))) | (~spl4_12 | ~spl4_13 | ~spl4_25)), 0.20/0.47 inference(forward_demodulation,[],[f422,f112])). 0.20/0.47 fof(f112,plain,( 0.20/0.47 times(sK3(sK1),sK1) = times(sK1,sK3(sK1)) | ~spl4_12), 0.20/0.47 inference(avatar_component_clause,[],[f111])). 0.20/0.47 fof(f422,plain,( 0.20/0.47 times(sK0,sK3(sK1)) = times(sK2,times(sK3(sK1),sK1)) | (~spl4_13 | ~spl4_25)), 0.20/0.47 inference(superposition,[],[f126,f203])). 0.20/0.47 fof(f203,plain,( 0.20/0.47 sK3(sK1) = times(sK3(sK1),sK3(sK1)) | ~spl4_25), 0.20/0.47 inference(avatar_component_clause,[],[f202])). 0.20/0.47 fof(f430,plain,( 0.20/0.47 ~spl4_4 | spl4_34 | ~spl4_3 | ~spl4_13), 0.20/0.47 inference(avatar_split_clause,[],[f426,f115,f33,f428,f37])). 0.20/0.47 fof(f426,plain,( 0.20/0.47 sK2 = times(sK2,times(sK1,sK1)) | ~element(sK1) | (~spl4_3 | ~spl4_13)), 0.20/0.47 inference(forward_demodulation,[],[f417,f34])). 0.20/0.47 fof(f417,plain,( 0.20/0.47 times(sK0,sK1) = times(sK2,times(sK1,sK1)) | ~element(sK1) | ~spl4_13), 0.20/0.47 inference(superposition,[],[f126,f20])). 0.20/0.47 fof(f204,plain,( 0.20/0.47 ~spl4_4 | spl4_25 | ~spl4_4), 0.20/0.47 inference(avatar_split_clause,[],[f196,f37,f202,f37])). 0.20/0.47 fof(f196,plain,( 0.20/0.47 sK3(sK1) = times(sK3(sK1),sK3(sK1)) | ~element(sK1) | ~spl4_4), 0.20/0.47 inference(superposition,[],[f157,f19])). 0.20/0.47 fof(f157,plain,( 0.20/0.47 ( ! [X1] : (times(sK1,X1) = times(sK3(sK1),times(X1,sK1))) ) | ~spl4_4), 0.20/0.47 inference(resolution,[],[f48,f38])). 0.20/0.47 fof(f38,plain,( 0.20/0.47 element(sK1) | ~spl4_4), 0.20/0.47 inference(avatar_component_clause,[],[f37])). 0.20/0.47 fof(f48,plain,( 0.20/0.47 ( ! [X3,X4] : (~element(X3) | times(sK3(X3),times(X4,X3)) = times(X3,X4)) )), 0.20/0.47 inference(superposition,[],[f22,f20])). 0.20/0.47 fof(f125,plain,( 0.20/0.47 spl4_14 | ~spl4_3 | ~spl4_13), 0.20/0.47 inference(avatar_split_clause,[],[f120,f115,f33,f123])). 0.20/0.47 fof(f120,plain,( 0.20/0.47 times(sK2,sK3(sK1)) = times(sK1,times(sK1,sK2)) | (~spl4_3 | ~spl4_13)), 0.20/0.47 inference(superposition,[],[f46,f116])). 0.20/0.47 fof(f117,plain,( 0.20/0.47 spl4_13 | ~spl4_3 | ~spl4_4), 0.20/0.47 inference(avatar_split_clause,[],[f108,f37,f33,f115])). 0.20/0.47 fof(f108,plain,( 0.20/0.47 times(sK1,sK2) = times(sK3(sK1),sK0) | (~spl4_3 | ~spl4_4)), 0.20/0.47 inference(superposition,[],[f85,f34])). 0.20/0.47 fof(f85,plain,( 0.20/0.47 ( ! [X1] : (times(sK1,times(X1,sK1)) = times(sK3(sK1),X1)) ) | ~spl4_4), 0.20/0.47 inference(resolution,[],[f47,f38])). 0.20/0.47 fof(f47,plain,( 0.20/0.47 ( ! [X2,X1] : (~element(X1) | times(X1,times(X2,X1)) = times(sK3(X1),X2)) )), 0.20/0.47 inference(superposition,[],[f22,f19])). 0.20/0.47 fof(f113,plain,( 0.20/0.47 ~spl4_4 | spl4_12 | ~spl4_4), 0.20/0.47 inference(avatar_split_clause,[],[f106,f37,f111,f37])). 0.20/0.47 fof(f106,plain,( 0.20/0.47 times(sK3(sK1),sK1) = times(sK1,sK3(sK1)) | ~element(sK1) | ~spl4_4), 0.20/0.47 inference(superposition,[],[f85,f19])). 0.20/0.47 fof(f75,plain,( 0.20/0.47 ~spl4_4 | spl4_7 | ~spl4_6), 0.20/0.47 inference(avatar_split_clause,[],[f67,f61,f73,f37])). 0.20/0.47 fof(f61,plain,( 0.20/0.47 spl4_6 <=> times(sK2,sK0) = times(sK1,sK3(sK0))), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])). 0.20/0.47 fof(f67,plain,( 0.20/0.47 times(sK0,times(sK1,sK2)) = times(sK3(sK0),sK3(sK1)) | ~element(sK1) | ~spl4_6), 0.20/0.47 inference(superposition,[],[f66,f19])). 0.20/0.47 fof(f66,plain,( 0.20/0.47 ( ! [X0] : (times(sK3(sK0),times(X0,sK1)) = times(sK0,times(X0,sK2))) ) | ~spl4_6), 0.20/0.47 inference(forward_demodulation,[],[f65,f22])). 0.20/0.47 fof(f65,plain,( 0.20/0.47 ( ! [X0] : (times(sK3(sK0),times(X0,sK1)) = times(times(sK2,sK0),X0)) ) | ~spl4_6), 0.20/0.47 inference(superposition,[],[f22,f62])). 0.20/0.47 fof(f62,plain,( 0.20/0.47 times(sK2,sK0) = times(sK1,sK3(sK0)) | ~spl4_6), 0.20/0.47 inference(avatar_component_clause,[],[f61])). 0.20/0.47 fof(f63,plain,( 0.20/0.47 ~spl4_2 | spl4_6 | ~spl4_3), 0.20/0.47 inference(avatar_split_clause,[],[f56,f33,f61,f29])). 0.20/0.47 fof(f56,plain,( 0.20/0.47 times(sK2,sK0) = times(sK1,sK3(sK0)) | ~element(sK0) | ~spl4_3), 0.20/0.47 inference(superposition,[],[f46,f19])). 0.20/0.47 fof(f44,plain,( 0.20/0.47 ~spl4_5 | spl4_1), 0.20/0.47 inference(avatar_split_clause,[],[f40,f25,f42])). 0.20/0.47 fof(f25,plain,( 0.20/0.47 spl4_1 <=> element(sK2)), 0.20/0.47 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])). 0.20/0.47 fof(f40,plain,( 0.20/0.47 sK2 != times(sK2,times(sK2,sK2)) | spl4_1), 0.20/0.47 inference(resolution,[],[f23,f26])). 0.20/0.47 fof(f26,plain,( 0.20/0.47 ~element(sK2) | spl4_1), 0.20/0.47 inference(avatar_component_clause,[],[f25])). 0.20/0.47 fof(f23,plain,( 0.20/0.47 ( ! [X0] : (element(X0) | times(X0,times(X0,X0)) != X0) )), 0.20/0.47 inference(equality_resolution,[],[f21])). 0.20/0.47 fof(f21,plain,( 0.20/0.47 ( ! [X0,X1] : (element(X0) | times(X0,X1) != X0 | times(X0,X0) != X1) )), 0.20/0.47 inference(cnf_transformation,[],[f14])). 0.20/0.47 fof(f39,plain,( 0.20/0.47 spl4_4), 0.20/0.47 inference(avatar_split_clause,[],[f15,f37])). 0.20/0.47 fof(f15,plain,( 0.20/0.47 element(sK1)), 0.20/0.47 inference(cnf_transformation,[],[f10])). 0.20/0.47 fof(f10,plain,( 0.20/0.47 ~element(sK2) & element(sK0) & sK2 = times(sK0,sK1) & element(sK1)), 0.20/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f9])). 0.20/0.47 fof(f9,plain,( 0.20/0.47 ? [X0,X1,X2] : (~element(X2) & element(X0) & times(X0,X1) = X2 & element(X1)) => (~element(sK2) & element(sK0) & sK2 = times(sK0,sK1) & element(sK1))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f8,plain,( 0.20/0.47 ? [X0,X1,X2] : (~element(X2) & element(X0) & times(X0,X1) = X2 & element(X1))), 0.20/0.47 inference(flattening,[],[f7])). 0.20/0.47 fof(f7,plain,( 0.20/0.47 ? [X0,X1,X2] : (~element(X2) & (element(X0) & times(X0,X1) = X2 & element(X1)))), 0.20/0.47 inference(ennf_transformation,[],[f5])). 0.20/0.47 fof(f5,plain,( 0.20/0.47 ~! [X0,X1,X2] : ((element(X0) & times(X0,X1) = X2 & element(X1)) => element(X2))), 0.20/0.47 inference(rectify,[],[f3])). 0.20/0.47 fof(f3,negated_conjecture,( 0.20/0.47 ~! [X2,X0,X1] : ((element(X2) & times(X2,X0) = X1 & element(X0)) => element(X1))), 0.20/0.47 inference(negated_conjecture,[],[f2])). 0.20/0.47 fof(f2,conjecture,( 0.20/0.47 ! [X2,X0,X1] : ((element(X2) & times(X2,X0) = X1 & element(X0)) => element(X1))), 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)). 0.20/0.47 fof(f35,plain,( 0.20/0.47 spl4_3), 0.20/0.47 inference(avatar_split_clause,[],[f16,f33])). 0.20/0.47 fof(f16,plain,( 0.20/0.47 sK2 = times(sK0,sK1)), 0.20/0.47 inference(cnf_transformation,[],[f10])). 0.20/0.47 fof(f31,plain,( 0.20/0.47 spl4_2), 0.20/0.47 inference(avatar_split_clause,[],[f17,f29])). 0.20/0.47 fof(f17,plain,( 0.20/0.47 element(sK0)), 0.20/0.47 inference(cnf_transformation,[],[f10])). 0.20/0.47 fof(f27,plain,( 0.20/0.47 ~spl4_1), 0.20/0.47 inference(avatar_split_clause,[],[f18,f25])). 0.20/0.47 fof(f18,plain,( 0.20/0.47 ~element(sK2)), 0.20/0.47 inference(cnf_transformation,[],[f10])). 0.20/0.47 % SZS output end Proof for theBenchmark 0.20/0.47 % (24094)------------------------------ 0.20/0.47 % (24094)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.20/0.47 % (24094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.47 % (24094)Termination reason: Refutation 0.20/0.47 0.20/0.47 % (24094)Memory used [KB]: 12153 0.20/0.47 % (24094)Time elapsed: 0.054 s 0.20/0.47 % (24094)------------------------------ 0.20/0.47 % (24094)------------------------------ 0.20/0.47 % (24083)Success in time 0.114 s 0.20/0.47 EOF