0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : run_vampire %s %d 0.15/0.35 Computer : n017.cluster.edu 0.15/0.35 Model : x86_64 x86_64 0.15/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 RAMPerCPU : 8042.1875MB 0.15/0.35 OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 960 0.15/0.35 % WCLimit : 120 0.15/0.35 % DateTime : Tue Aug 9 03:51:30 EDT 2022 0.15/0.35 % CPUTime : 0.15/0.36 This is a FOF_ problem 0.15/0.36 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.37 Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (4616)WARNING: value z3 for option sas not known 0.22/0.46 % (4621)WARNING: value z3 for option sas not known 0.22/0.47 % (4621)lrs+11_3_afr=on:afp=10000:afq=1.0:cond=fast:fsr=off:fde=none:gs=on:gsem=off:lcm=reverse:nm=2:newcnf=on:nwc=1:sas=z3:stl=30:sd=10:ss=axioms:st=2.0:sos=all:sp=reverse_arity:urr=on:uhcvi=on:thsq=on_23 on theBenchmark 0.22/0.47 % (4622)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence:thsq=on_66 on theBenchmark 0.22/0.47 % (4614)dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off:thsq=on_4 on theBenchmark 0.22/0.47 % (4637)dis-11_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on:thsq=on_1 on theBenchmark 0.22/0.47 % (4613)WARNING: value z3 for option sas not known 0.22/0.47 % (4618)dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off:thsq=on_9 on theBenchmark 0.22/0.47 % (4616)dis+11_2:1_add=large:afp=1000:afq=1.2:amm=sco:anc=none:cond=on:gs=on:gsem=off:nm=16:newcnf=on:nwc=1:sas=z3:sd=1:ss=axioms:st=1.2:sos=on:sp=reverse_arity:updr=off:thsq=on_5 on theBenchmark 0.22/0.48 % (4613)dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off:thsq=on_8 on theBenchmark 0.22/0.48 % (4617)dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on:thsq=on_89 on theBenchmark 0.22/0.48 % (4630)lrs+1_7_av=off:irw=on:lcm=predicate:lma=on:nm=4:newcnf=on:nwc=1:stl=30:sos=all:sp=occurrence:updr=off:thsq=on_36 on theBenchmark 0.22/0.48 % (4629)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:thsq=on_9 on theBenchmark 0.22/0.49 % (4638)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:thsq=on_91 on theBenchmark 0.22/0.49 % (4627)lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity:thsq=on_2 on theBenchmark 0.22/0.50 % (4624)WARNING: value z3 for option sas not known 0.22/0.50 % (4624)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on:thsq=on_23 on theBenchmark 0.22/0.50 % (4626)dis+1010_7_afr=on:afp=10000:afq=1.1:amm=sco:anc=none:bd=off:bsr=on:cond=on:fsr=off:lma=on:nm=32:newcnf=on:nwc=1:urr=ec_only:updr=off:thsq=on_83 on theBenchmark 0.22/0.50 % (4631)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:thsq=on_88 on theBenchmark 0.22/0.50 % (4625)lrs+1011_1_afp=40000:afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sd=2:ss=axioms:sos=all:sp=occurrence:thsq=on_6 on theBenchmark 0.22/0.50 % (4639)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:thsq=on_11 on theBenchmark 0.22/0.50 % (4628)WARNING: value z3 for option sas not known 0.22/0.50 % (4623)dis+1002_7_acc=on:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:ccuc=first:fsr=off:gsp=input_only:gs=on:gsem=on:nm=6:nwc=1.1:nicw=on:sos=on:sac=on:sp=occurrence:urr=ec_only:thsq=on_217 on theBenchmark 0.22/0.50 % (4615)WARNING: value z3 for option sas not known 0.22/0.51 % (4635)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off:thsq=on_223 on theBenchmark 0.22/0.51 % (4615)dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=input_only:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on:thsq=on_1 on theBenchmark 0.22/0.51 % (4640)lrs-4_5:1_add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:bs=unit_only:bsr=on:irw=on:lcm=reverse:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:updr=off:thsq=on_6 on theBenchmark 0.22/0.51 % (4641)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:thsq=on_73 on theBenchmark 0.22/0.51 % (4642)lrs+11_3_av=off:bce=on:cond=fast:ep=R:lcm=reverse:lma=on:newcnf=on:nwc=1.3:stl=30:sd=3:ss=axioms:st=1.2:sos=on:sp=occurrence:uhcvi=on:thsq=on_2 on theBenchmark 0.22/0.51 % (4619)dis+10_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:er=filter:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1.3:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark 0.22/0.52 % (4632)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:thsq=on_24 on theBenchmark 0.22/0.52 % (4636)dis+1010_4_acc=on:afr=on:afp=1000:afq=2.0:anc=none:bd=off:bs=unit_only:bsr=on:ccuc=small_ones:cond=fast:fsr=off:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=2.5:nicw=on:sd=3:ss=axioms:st=3.0:sac=on:urr=ec_only:updr=off:uhcvi=on:thsq=on_83 on theBenchmark 0.22/0.52 % (4634)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:thsq=on_75 on theBenchmark 0.22/0.52 % (4633)ott+4_4:1_acc=model:add=large:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=preordered:bs=unit_only:ccuc=first:cond=on:gs=on:nm=32:nwc=1.5:sac=on:urr=on:updr=off:thsq=on_13 on theBenchmark 0.22/0.53 % (4628)dis+1011_3_afp=4000:afq=1.1:amm=sco:anc=none:gs=on:gsaa=from_current:gsem=off:irw=on:nm=16:nwc=1:sas=z3:ss=axioms:sos=all:sac=on:sp=reverse_arity:updr=off:thsq=on_17 on theBenchmark 0.22/0.54 % (4620)lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only:thsq=on_3 on theBenchmark 1.15/0.65 % (4614)Refutation not found, incomplete strategy% (4614)------------------------------ 1.15/0.65 % (4614)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 1.15/0.65 % (4614)Termination reason: Refutation not found, incomplete strategy 1.15/0.65 1.15/0.65 % (4614)Memory used [KB]: 4605 1.15/0.65 % (4614)Time elapsed: 0.209 s 1.15/0.65 % (4614)------------------------------ 1.15/0.65 % (4614)------------------------------ 1.15/0.65 % (4627)Refutation not found, incomplete strategy% (4627)------------------------------ 1.15/0.65 % (4627)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 1.15/0.65 % (4627)Termination reason: Refutation not found, incomplete strategy 1.15/0.65 1.15/0.65 % (4627)Memory used [KB]: 5628 1.15/0.65 % (4627)Time elapsed: 0.207 s 1.15/0.65 % (4627)------------------------------ 1.15/0.65 % (4627)------------------------------ 1.98/0.70 % (4643)ott+1010_8:1_add=off:afp=4000:afq=1.4:amm=off:anc=all:bd=off:bsr=on:fsr=off:fde=unused:irw=on:lma=on:nwc=4:nicw=on:sac=on:sp=reverse_arity:urr=on:updr=off:uhcvi=on:thsq=on_239 on theBenchmark 2.25/0.73 % (4644)dis+1010_1_acc=model:add=large:afr=on:amm=off:anc=none:bd=off:bsr=on:ccuc=small_ones:gs=on:gsem=on:nm=16:nwc=2:urr=ec_only:updr=off:thsq=on_155 on theBenchmark 2.97/0.83 % (4623)First to succeed. 2.97/0.85 % (4637)Time limit reached! 2.97/0.85 % (4637)------------------------------ 2.97/0.85 % (4637)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.97/0.85 % (4637)Termination reason: Time limit 2.97/0.85 2.97/0.85 % (4637)Memory used [KB]: 16886 2.97/0.85 % (4637)Time elapsed: 0.411 s 2.97/0.85 % (4637)------------------------------ 2.97/0.85 % (4637)------------------------------ 2.97/0.86 % (4623)Refutation found. Thanks to Tanya! 2.97/0.86 % SZS status Theorem for theBenchmark 2.97/0.86 % SZS output start Proof for theBenchmark 2.97/0.86 fof(f6675,plain,( 2.97/0.86 $false), 2.97/0.86 inference(avatar_sat_refutation,[],[f5886,f6017,f6021,f6050,f6124,f6128,f6494,f6624,f6628,f6654,f6674])). 2.97/0.86 fof(f6674,plain,( 2.97/0.86 spl90_27), 2.97/0.86 inference(avatar_contradiction_clause,[],[f6660])). 2.97/0.86 fof(f6660,plain,( 2.97/0.86 $false | spl90_27), 2.97/0.86 inference(unit_resulting_resolution,[],[f3920,f6652,f4405])). 2.97/0.86 fof(f4405,plain,( 2.97/0.86 ( ! [X0 : $i,X1 : $i] : (c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) | ~class_Rings_Olinordered__semidom(X1)) )), 2.97/0.86 inference(cnf_transformation,[],[f2444])). 2.97/0.86 fof(f2444,plain,( 2.97/0.86 ! [X0,X1] : (c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) | ~class_Rings_Olinordered__semidom(X1))), 2.97/0.86 inference(ennf_transformation,[],[f1537])). 2.97/0.86 fof(f1537,plain,( 2.97/0.86 ! [X0,X1] : (class_Rings_Olinordered__semidom(X1) => c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))))), 2.97/0.86 inference(rectify,[],[f1099])). 2.97/0.86 fof(f1099,axiom,( 2.97/0.86 ! [X1,X2] : (class_Rings_Olinordered__semidom(X2) => c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Oplus__class_Oplus(X2,X1,c_Groups_Oone__class_Oone(X2))))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__one)). 2.97/0.86 fof(f6652,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | spl90_27), 2.97/0.86 inference(avatar_component_clause,[],[f6650])). 2.97/0.86 fof(f6650,plain,( 2.97/0.86 spl90_27 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_27])])). 2.97/0.86 fof(f3920,plain,( 2.97/0.86 class_Rings_Olinordered__semidom(tc_RealDef_Oreal)), 2.97/0.86 inference(cnf_transformation,[],[f300])). 2.97/0.86 fof(f300,axiom,( 2.97/0.86 class_Rings_Olinordered__semidom(tc_RealDef_Oreal)), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom)). 2.97/0.86 fof(f6654,plain,( 2.97/0.86 ~spl90_27 | spl90_26), 2.97/0.86 inference(avatar_split_clause,[],[f6631,f6621,f6650])). 2.97/0.86 fof(f6621,plain,( 2.97/0.86 spl90_26 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_26])])). 2.97/0.86 fof(f6631,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | spl90_26), 2.97/0.86 inference(resolution,[],[f6623,f4700])). 2.97/0.86 fof(f4700,plain,( 2.97/0.86 ( ! [X0 : $i,X1 : $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)) )), 2.97/0.86 inference(cnf_transformation,[],[f3560])). 2.97/0.86 fof(f3560,plain,( 2.97/0.86 ! [X0,X1] : (((X0 != X1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | X0 = X1 | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)))), 2.97/0.86 inference(flattening,[],[f3559])). 2.97/0.86 fof(f3559,plain,( 2.97/0.86 ! [X0,X1] : (((X0 != X1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | (X0 = X1 | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))))), 2.97/0.86 inference(nnf_transformation,[],[f1737])). 2.97/0.86 fof(f1737,plain,( 2.97/0.86 ! [X0,X1] : ((X0 != X1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))), 2.97/0.86 inference(rectify,[],[f776])). 2.97/0.86 fof(f776,axiom,( 2.97/0.86 ! [X12,X13] : ((X12 != X13 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12)) <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X12))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def)). 2.97/0.86 fof(f6623,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | spl90_26), 2.97/0.86 inference(avatar_component_clause,[],[f6621])). 2.97/0.86 fof(f6628,plain,( 2.97/0.86 spl90_25), 2.97/0.86 inference(avatar_contradiction_clause,[],[f6625])). 2.97/0.86 fof(f6625,plain,( 2.97/0.86 $false | spl90_25), 2.97/0.86 inference(unit_resulting_resolution,[],[f4004,f6619])). 2.97/0.86 fof(f6619,plain,( 2.97/0.86 ~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) | spl90_25), 2.97/0.86 inference(avatar_component_clause,[],[f6617])). 2.97/0.86 fof(f6617,plain,( 2.97/0.86 spl90_25 <=> class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_25])])). 2.97/0.86 fof(f4004,plain,( 2.97/0.86 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)), 2.97/0.86 inference(cnf_transformation,[],[f895])). 2.97/0.86 fof(f895,axiom,( 2.97/0.86 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1)). 2.97/0.86 fof(f6624,plain,( 2.97/0.86 ~spl90_25 | ~spl90_26 | spl90_19), 2.97/0.86 inference(avatar_split_clause,[],[f6523,f6491,f6621,f6617])). 2.97/0.86 fof(f6491,plain,( 2.97/0.86 spl90_19 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____))), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_19])])). 2.97/0.86 fof(f6523,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) | spl90_19), 2.97/0.86 inference(superposition,[],[f6493,f4963])). 2.97/0.86 fof(f4963,plain,( 2.97/0.86 ( ! [X2 : $i,X0 : $i,X1 : $i] : (c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) | ~class_Rings_Ocomm__semiring__1(X2)) )), 2.97/0.86 inference(cnf_transformation,[],[f2847])). 2.97/0.86 fof(f2847,plain,( 2.97/0.86 ! [X0,X1,X2] : (c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) | ~class_Rings_Ocomm__semiring__1(X2))), 2.97/0.86 inference(ennf_transformation,[],[f1903])). 2.97/0.86 fof(f1903,plain,( 2.97/0.86 ! [X0,X1,X2] : (class_Rings_Ocomm__semiring__1(X2) => c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1))), 2.97/0.86 inference(rectify,[],[f854])). 2.97/0.86 fof(f854,axiom,( 2.97/0.86 ! [X33,X1,X2] : (class_Rings_Ocomm__semiring__1(X2) => c_Groups_Oplus__class_Oplus(X2,X33,X1) = c_Groups_Oplus__class_Oplus(X2,X1,X33))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J)). 2.97/0.86 fof(f6493,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____)) | spl90_19), 2.97/0.86 inference(avatar_component_clause,[],[f6491])). 2.97/0.86 fof(f6494,plain,( 2.97/0.86 ~spl90_19 | spl90_1 | ~spl90_12), 2.97/0.86 inference(avatar_split_clause,[],[f6489,f6121,f5883,f6491])). 2.97/0.86 fof(f5883,plain,( 2.97/0.86 spl90_1 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_1])])). 2.97/0.86 fof(f6121,plain,( 2.97/0.86 spl90_12 <=> v_r____ = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_12])])). 2.97/0.86 fof(f6489,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____)) | (spl90_1 | ~spl90_12)), 2.97/0.86 inference(forward_demodulation,[],[f6008,f6123])). 2.97/0.86 fof(f6123,plain,( 2.97/0.86 v_r____ = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____) | ~spl90_12), 2.97/0.86 inference(avatar_component_clause,[],[f6121])). 2.97/0.86 fof(f6008,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))) | spl90_1), 2.97/0.86 inference(forward_demodulation,[],[f5976,f4070])). 2.97/0.86 fof(f4070,plain,( 2.97/0.86 ( ! [X0 : $i] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)) )), 2.97/0.86 inference(cnf_transformation,[],[f1278])). 2.97/0.86 fof(f1278,plain,( 2.97/0.86 ! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)), 2.97/0.86 inference(rectify,[],[f748])). 2.97/0.86 fof(f748,axiom,( 2.97/0.86 ! [X25] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X25) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X25)), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def)). 2.97/0.86 fof(f5976,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))) | spl90_1), 2.97/0.86 inference(resolution,[],[f5887,f4039])). 2.97/0.86 fof(f4039,plain,( 2.97/0.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))), 2.97/0.86 inference(cnf_transformation,[],[f203])). 2.97/0.86 fof(f203,axiom,( 2.97/0.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_h)). 2.97/0.86 fof(f5887,plain,( 2.97/0.86 ( ! [X0 : $i] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,X0)) ) | spl90_1), 2.97/0.86 inference(resolution,[],[f5885,f5025])). 2.97/0.86 fof(f5025,plain,( 2.97/0.86 ( ! [X2 : $i,X0 : $i,X1 : $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)) )), 2.97/0.86 inference(cnf_transformation,[],[f2921])). 2.97/0.86 fof(f2921,plain,( 2.97/0.86 ! [X0,X1,X2] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))), 2.97/0.86 inference(flattening,[],[f2920])). 2.97/0.86 fof(f2920,plain,( 2.97/0.86 ! [X0,X1,X2] : ((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))), 2.97/0.86 inference(ennf_transformation,[],[f1950])). 2.97/0.86 fof(f1950,plain,( 2.97/0.86 ! [X0,X1,X2] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) => (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)))), 2.97/0.86 inference(rectify,[],[f331])). 2.97/0.86 fof(f331,axiom,( 2.97/0.86 ! [X6,X9,X8] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X9) => (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X6) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X6)))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans)). 2.97/0.86 fof(f5885,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)) | spl90_1), 2.97/0.86 inference(avatar_component_clause,[],[f5883])). 2.97/0.86 fof(f6128,plain,( 2.97/0.86 spl90_11), 2.97/0.86 inference(avatar_contradiction_clause,[],[f6125])). 2.97/0.86 fof(f6125,plain,( 2.97/0.86 $false | spl90_11), 2.97/0.86 inference(unit_resulting_resolution,[],[f3851,f6119])). 2.97/0.86 fof(f6119,plain,( 2.97/0.86 ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) | spl90_11), 2.97/0.86 inference(avatar_component_clause,[],[f6117])). 2.97/0.86 fof(f6117,plain,( 2.97/0.86 spl90_11 <=> class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_11])])). 2.97/0.86 fof(f3851,plain,( 2.97/0.86 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)), 2.97/0.86 inference(cnf_transformation,[],[f685])). 2.97/0.86 fof(f685,axiom,( 2.97/0.86 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)). 2.97/0.86 fof(f6124,plain,( 2.97/0.86 ~spl90_11 | spl90_12 | ~spl90_9), 2.97/0.86 inference(avatar_split_clause,[],[f6085,f6047,f6121,f6117])). 2.97/0.86 fof(f6047,plain,( 2.97/0.86 spl90_9 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_9])])). 2.97/0.86 fof(f6085,plain,( 2.97/0.86 v_r____ = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____) | ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) | ~spl90_9), 2.97/0.86 inference(forward_demodulation,[],[f6063,f4070])). 2.97/0.86 fof(f6063,plain,( 2.97/0.86 v_r____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____) | ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) | ~spl90_9), 2.97/0.86 inference(resolution,[],[f6049,f4371])). 2.97/0.86 fof(f4371,plain,( 2.97/0.86 ( ! [X0 : $i,X1 : $i] : (~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) | c_Groups_Oabs__class_Oabs(X1,X0) = X0 | ~class_Groups_Oordered__ab__group__add__abs(X1)) )), 2.97/0.86 inference(cnf_transformation,[],[f2416])). 2.97/0.86 fof(f2416,plain,( 2.97/0.86 ! [X0,X1] : (c_Groups_Oabs__class_Oabs(X1,X0) = X0 | ~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) | ~class_Groups_Oordered__ab__group__add__abs(X1))), 2.97/0.86 inference(flattening,[],[f2415])). 2.97/0.86 fof(f2415,plain,( 2.97/0.86 ! [X0,X1] : ((c_Groups_Oabs__class_Oabs(X1,X0) = X0 | ~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)) | ~class_Groups_Oordered__ab__group__add__abs(X1))), 2.97/0.86 inference(ennf_transformation,[],[f1511])). 2.97/0.86 fof(f1511,plain,( 2.97/0.86 ! [X0,X1] : (class_Groups_Oordered__ab__group__add__abs(X1) => (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) => c_Groups_Oabs__class_Oabs(X1,X0) = X0))), 2.97/0.86 inference(rectify,[],[f284])). 2.97/0.86 fof(f284,axiom,( 2.97/0.86 ! [X1,X2] : (class_Groups_Oordered__ab__group__add__abs(X2) => (c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1) => c_Groups_Oabs__class_Oabs(X2,X1) = X1))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__nonneg)). 2.97/0.86 fof(f6049,plain,( 2.97/0.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____) | ~spl90_9), 2.97/0.86 inference(avatar_component_clause,[],[f6047])). 2.97/0.86 fof(f6050,plain,( 2.97/0.86 spl90_9 | spl90_7), 2.97/0.86 inference(avatar_split_clause,[],[f6025,f6014,f6047])). 2.97/0.86 fof(f6014,plain,( 2.97/0.86 spl90_7 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_7])])). 2.97/0.86 fof(f6025,plain,( 2.97/0.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____) | spl90_7), 2.97/0.86 inference(resolution,[],[f6016,f4309])). 2.97/0.86 fof(f4309,plain,( 2.97/0.86 ( ! [X0 : $i,X1 : $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)) )), 2.97/0.86 inference(cnf_transformation,[],[f1473])). 2.97/0.86 fof(f1473,plain,( 2.97/0.86 ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1))), 2.97/0.86 inference(rectify,[],[f600])). 2.97/0.86 fof(f600,axiom,( 2.97/0.86 ! [X56,X11] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X56) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X56,X11))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear)). 2.97/0.86 fof(f6016,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | spl90_7), 2.97/0.86 inference(avatar_component_clause,[],[f6014])). 2.97/0.86 fof(f6021,plain,( 2.97/0.86 spl90_6), 2.97/0.86 inference(avatar_contradiction_clause,[],[f6018])). 2.97/0.86 fof(f6018,plain,( 2.97/0.86 $false | spl90_6), 2.97/0.86 inference(unit_resulting_resolution,[],[f3831,f6012])). 2.97/0.86 fof(f6012,plain,( 2.97/0.86 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | spl90_6), 2.97/0.86 inference(avatar_component_clause,[],[f6010])). 2.97/0.86 fof(f6010,plain,( 2.97/0.86 spl90_6 <=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 2.97/0.86 introduced(avatar_definition,[new_symbols(naming,[spl90_6])])). 2.97/0.86 fof(f3831,plain,( 2.97/0.86 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 2.97/0.86 inference(cnf_transformation,[],[f1170])). 2.97/0.86 fof(f1170,axiom,( 2.97/0.86 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)). 2.97/0.86 fof(f6017,plain,( 2.97/0.86 ~spl90_6 | ~spl90_7 | spl90_1), 2.97/0.86 inference(avatar_split_clause,[],[f5975,f5883,f6014,f6010])). 2.97/0.86 fof(f5975,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | spl90_1), 2.97/0.86 inference(resolution,[],[f5887,f4325])). 2.97/0.86 fof(f4325,plain,( 2.97/0.86 ( ! [X0 : $i,X1 : $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | ~class_RealVector_Oreal__normed__vector(X1)) )), 2.97/0.86 inference(cnf_transformation,[],[f2387])). 2.97/0.86 fof(f2387,plain,( 2.97/0.86 ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | ~class_RealVector_Oreal__normed__vector(X1))), 2.97/0.86 inference(ennf_transformation,[],[f1485])). 2.97/0.86 fof(f1485,plain,( 2.97/0.86 ! [X0,X1] : (class_RealVector_Oreal__normed__vector(X1) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)))), 2.97/0.86 inference(rectify,[],[f826])). 2.97/0.86 fof(f826,axiom,( 2.97/0.86 ! [X15,X2] : (class_RealVector_Oreal__normed__vector(X2) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X15)))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ge__zero)). 2.97/0.86 fof(f5886,plain,( 2.97/0.86 ~spl90_1), 2.97/0.86 inference(avatar_split_clause,[],[f3819,f5883])). 2.97/0.86 fof(f3819,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))), 2.97/0.86 inference(cnf_transformation,[],[f1263])). 2.97/0.86 fof(f1263,plain,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))), 2.97/0.86 inference(flattening,[],[f1240])). 2.97/0.86 fof(f1240,negated_conjecture,( 2.97/0.86 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))), 2.97/0.86 inference(negated_conjecture,[],[f1239])). 2.97/0.86 fof(f1239,conjecture,( 2.97/0.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))), 2.97/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 2.97/0.86 % SZS output end Proof for theBenchmark 2.97/0.86 % (4623)------------------------------ 2.97/0.86 % (4623)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.97/0.86 % (4623)Termination reason: Refutation 2.97/0.86 2.97/0.86 % (4623)Memory used [KB]: 17270 2.97/0.86 % (4623)Time elapsed: 0.382 s 2.97/0.86 % (4623)------------------------------ 2.97/0.86 % (4623)------------------------------ 2.97/0.86 % (4612)Success in time 0.484 s 2.97/0.86 EOF