0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_vampire %s %d 0.13/0.34 Computer : n006.cluster.edu 0.13/0.34 Model : x86_64 x86_64 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 RAMPerCPU : 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 03:04:44 EDT 2022 0.13/0.34 % CPUTime : 0.22/0.50 % (6732)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.22/0.50 % (6736)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.22/0.50 % (6757)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 0.22/0.51 % (6738)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.22/0.51 % (6748)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 0.22/0.51 % (6739)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.22/0.51 % (6758)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 0.22/0.51 % (6753)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.22/0.51 % (6753)Refutation not found, incomplete strategy% (6753)------------------------------ 0.22/0.51 % (6753)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.22/0.51 % (6744)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 0.22/0.51 % (6740)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.22/0.51 % (6753)Termination reason: Refutation not found, incomplete strategy 0.22/0.51 0.22/0.51 % (6753)Memory used [KB]: 6012 0.22/0.51 % (6753)Time elapsed: 0.108 s 0.22/0.51 % (6753)------------------------------ 0.22/0.51 % (6753)------------------------------ 0.22/0.52 % (6744)Refutation not found, incomplete strategy% (6744)------------------------------ 0.22/0.52 % (6744)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.22/0.52 % (6744)Termination reason: Refutation not found, incomplete strategy 0.22/0.52 0.22/0.52 % (6744)Memory used [KB]: 6012 0.22/0.52 % (6744)Time elapsed: 0.119 s 0.22/0.52 % (6744)------------------------------ 0.22/0.52 % (6744)------------------------------ 0.22/0.52 % (6741)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.22/0.52 % (6749)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 0.22/0.52 % (6747)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 0.22/0.52 % (6745)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 0.22/0.52 % (6761)dis+10_6_afr=on:afp=1000:afq=1.2:anc=none:bsr=on:fsr=off:gs=on:lcm=reverse:nm=64:newcnf=on:nwc=1.7:sas=z3:tha=off_4 on theBenchmark 0.22/0.53 % (6762)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 0.22/0.53 % (6735)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.22/0.53 % (6737)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 1.34/0.53 % (6746)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 1.34/0.54 % (6756)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 1.34/0.54 % (6733)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 1.34/0.54 % (6760)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 1.34/0.54 % (6763)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 1.34/0.54 % (6751)WARNING: option uwaf not known. 1.34/0.54 % (6750)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 1.34/0.54 % (6751)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 1.34/0.55 % (6743)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 1.34/0.55 % (6755)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 1.44/0.55 % (6742)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 1.44/0.55 % (6759)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 1.44/0.56 % (6754)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 1.44/0.56 % (6760)Refutation found. Thanks to Tanya! 1.44/0.56 % SZS status Theorem for theBenchmark 1.44/0.58 % SZS output start Proof for theBenchmark 1.44/0.58 tff(type_def_5, type, set: $tType). 1.44/0.58 tff(type_def_6, type, element: $tType). 1.44/0.58 tff(func_def_0, type, empty_set: set). 1.44/0.58 tff(func_def_1, type, singleton: element > set). 1.44/0.58 tff(func_def_2, type, intersection: (set * set) > set). 1.44/0.58 tff(func_def_3, type, union: (set * set) > set). 1.44/0.58 tff(func_def_4, type, difference: (set * set) > set). 1.44/0.58 tff(func_def_5, type, complement: set > set). 1.44/0.58 tff(func_def_6, type, cardinality: set > $int). 1.44/0.58 tff(func_def_10, type, sK0: element). 1.44/0.58 tff(func_def_11, type, sK1: set). 1.44/0.58 tff(func_def_12, type, sK2: $int). 1.44/0.58 tff(func_def_13, type, sK3: set > element). 1.44/0.58 tff(pred_def_1, type, member: (element * set) > $o). 1.44/0.58 tff(pred_def_2, type, subset: (set * set) > $o). 1.44/0.58 tff(f299,plain,( 1.44/0.58 $false), 1.44/0.58 inference(global_subsumption,[],[f48,f298])). 1.44/0.58 tff(f298,plain,( 1.44/0.58 $sum(sK2,1) = cardinality(union(singleton(sK0),sK1))), 1.44/0.58 inference(forward_demodulation,[],[f297,f46])). 1.44/0.58 tff(f46,plain,( 1.44/0.58 sK2 = cardinality(sK1)), 1.44/0.58 inference(cnf_transformation,[],[f28])). 1.44/0.58 tff(f28,plain,( 1.44/0.58 $sum(sK2,1) != cardinality(union(singleton(sK0),sK1)) & ~member(sK0,sK1) & sK2 = cardinality(sK1)), 1.44/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f27])). 1.44/0.58 tff(f27,plain,( 1.44/0.58 ? [X0 : element,X1 : set,X2 : $int] : ($sum(X2,1) != cardinality(union(singleton(X0),X1)) & ~member(X0,X1) & cardinality(X1) = X2) => ($sum(sK2,1) != cardinality(union(singleton(sK0),sK1)) & ~member(sK0,sK1) & sK2 = cardinality(sK1))), 1.44/0.58 introduced(choice_axiom,[])). 1.44/0.58 tff(f26,plain,( 1.44/0.58 ? [X0 : element,X1 : set,X2 : $int] : ($sum(X2,1) != cardinality(union(singleton(X0),X1)) & ~member(X0,X1) & cardinality(X1) = X2)), 1.44/0.58 inference(flattening,[],[f25])). 1.44/0.58 tff(f25,plain,( 1.44/0.58 ? [X0 : element,X1 : set,X2 : $int] : ($sum(X2,1) != cardinality(union(singleton(X0),X1)) & (~member(X0,X1) & cardinality(X1) = X2))), 1.44/0.58 inference(ennf_transformation,[],[f15])). 1.44/0.58 tff(f15,plain,( 1.44/0.58 ~! [X0 : element,X1 : set,X2 : $int] : ((~member(X0,X1) & cardinality(X1) = X2) => $sum(X2,1) = cardinality(union(singleton(X0),X1)))), 1.44/0.58 inference(rectify,[],[f11])). 1.44/0.58 tff(f11,negated_conjecture,( 1.44/0.58 ~! [X0 : element,X5 : set,X6 : $int] : ((~member(X0,X5) & cardinality(X5) = X6) => $sum(X6,1) = cardinality(union(singleton(X0),X5)))), 1.44/0.58 inference(negated_conjecture,[],[f10])). 1.44/0.58 tff(f10,conjecture,( 1.44/0.58 ! [X0 : element,X5 : set,X6 : $int] : ((~member(X0,X5) & cardinality(X5) = X6) => $sum(X6,1) = cardinality(union(singleton(X0),X5)))), 1.44/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vc2)). 1.44/0.58 tff(f297,plain,( 1.44/0.58 cardinality(union(singleton(sK0),sK1)) = $sum(cardinality(sK1),1)), 1.44/0.58 inference(trivial_inequality_removal,[],[f286])). 1.44/0.58 tff(f286,plain,( 1.44/0.58 empty_set != empty_set | cardinality(union(singleton(sK0),sK1)) = $sum(cardinality(sK1),1)), 1.44/0.58 inference(superposition,[],[f59,f261])). 1.44/0.58 tff(f261,plain,( 1.44/0.58 empty_set = intersection(singleton(sK0),sK1)), 1.44/0.58 inference(resolution,[],[f221,f47])). 1.44/0.58 tff(f47,plain,( 1.44/0.58 ~member(sK0,sK1)), 1.44/0.58 inference(cnf_transformation,[],[f28])). 1.44/0.58 tff(f221,plain,( 1.44/0.58 ( ! [X0:element,X1:set] : (member(X0,X1) | empty_set = intersection(singleton(X0),X1)) )), 1.44/0.58 inference(duplicate_literal_removal,[],[f216])). 1.44/0.58 tff(f216,plain,( 1.44/0.58 ( ! [X0:element,X1:set] : (member(X0,X1) | empty_set = intersection(singleton(X0),X1) | empty_set = intersection(singleton(X0),X1)) )), 1.44/0.58 inference(superposition,[],[f102,f114])). 1.44/0.58 tff(f114,plain,( 1.44/0.58 ( ! [X2:set,X1:element] : (sK3(intersection(singleton(X1),X2)) = X1 | empty_set = intersection(singleton(X1),X2)) )), 1.44/0.58 inference(resolution,[],[f101,f54])). 1.44/0.58 tff(f54,plain,( 1.44/0.58 ( ! [X0:element,X1:element] : (~member(X0,singleton(X1)) | X0 = X1) )), 1.44/0.58 inference(cnf_transformation,[],[f34])). 1.44/0.58 tff(f34,plain,( 1.44/0.58 ! [X0 : element,X1 : element] : ((X0 = X1 | ~member(X0,singleton(X1))) & (member(X0,singleton(X1)) | X0 != X1))), 1.44/0.58 inference(nnf_transformation,[],[f1])). 1.44/0.58 tff(f1,axiom,( 1.44/0.58 ! [X0 : element,X1 : element] : (X0 = X1 <=> member(X0,singleton(X1)))), 1.44/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton)). 1.44/0.58 tff(f101,plain,( 1.44/0.58 ( ! [X0:set,X1:set] : (member(sK3(intersection(X0,X1)),X0) | empty_set = intersection(X0,X1)) )), 1.44/0.58 inference(resolution,[],[f69,f50])). 1.44/0.58 tff(f50,plain,( 1.44/0.58 ( ! [X0:set] : (member(sK3(X0),X0) | empty_set = X0) )), 1.44/0.58 inference(cnf_transformation,[],[f32])). 1.44/0.58 tff(f32,plain,( 1.44/0.58 ! [X0 : set] : ((empty_set = X0 | member(sK3(X0),X0)) & (! [X2 : element] : ~member(X2,X0) | empty_set != X0))), 1.44/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f30,f31])). 1.44/0.58 tff(f31,plain,( 1.44/0.58 ! [X0 : set] : (? [X1 : element] : member(X1,X0) => member(sK3(X0),X0))), 1.44/0.58 introduced(choice_axiom,[])). 1.44/0.58 tff(f30,plain,( 1.44/0.58 ! [X0 : set] : ((empty_set = X0 | ? [X1 : element] : member(X1,X0)) & (! [X2 : element] : ~member(X2,X0) | empty_set != X0))), 1.44/0.58 inference(rectify,[],[f29])). 1.44/0.58 tff(f29,plain,( 1.44/0.58 ! [X0 : set] : ((empty_set = X0 | ? [X1 : element] : member(X1,X0)) & (! [X1 : element] : ~member(X1,X0) | empty_set != X0))), 1.44/0.58 inference(nnf_transformation,[],[f16])). 1.44/0.58 tff(f16,plain,( 1.44/0.58 ! [X0 : set] : (empty_set = X0 <=> ! [X1 : element] : ~member(X1,X0))), 1.44/0.58 inference(rectify,[],[f14])). 1.44/0.58 tff(f14,axiom,( 1.44/0.58 ! [X3 : set] : (empty_set = X3 <=> ! [X0 : element] : ~member(X0,X3))), 1.44/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set)). 1.44/0.58 tff(f69,plain,( 1.44/0.58 ( ! [X2:set,X0:element,X1:set] : (~member(X0,intersection(X1,X2)) | member(X0,X1)) )), 1.44/0.58 inference(cnf_transformation,[],[f43])). 1.44/0.58 tff(f43,plain,( 1.44/0.58 ! [X0 : element,X1 : set,X2 : set] : (((member(X0,X2) & member(X0,X1)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | ~member(X0,X2) | ~member(X0,X1)))), 1.44/0.58 inference(flattening,[],[f42])). 1.44/0.58 tff(f42,plain,( 1.44/0.58 ! [X0 : element,X1 : set,X2 : set] : (((member(X0,X2) & member(X0,X1)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | (~member(X0,X2) | ~member(X0,X1))))), 1.44/0.58 inference(nnf_transformation,[],[f3])). 1.44/0.58 tff(f3,axiom,( 1.44/0.58 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,X2) & member(X0,X1)) <=> member(X0,intersection(X1,X2)))), 1.44/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection)). 1.44/0.58 tff(f102,plain,( 1.44/0.58 ( ! [X0:set,X1:set] : (member(sK3(intersection(X0,X1)),X1) | empty_set = intersection(X0,X1)) )), 1.44/0.58 inference(resolution,[],[f70,f50])). 1.44/0.58 tff(f70,plain,( 1.44/0.58 ( ! [X2:set,X0:element,X1:set] : (~member(X0,intersection(X1,X2)) | member(X0,X2)) )), 1.44/0.58 inference(cnf_transformation,[],[f43])). 1.44/0.58 tff(f59,plain,( 1.44/0.58 ( ! [X0:element,X1:set] : (empty_set != intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1)) )), 1.44/0.58 inference(cnf_transformation,[],[f37])). 1.44/0.58 tff(f37,plain,( 1.44/0.58 ! [X0 : element,X1 : set] : ((empty_set = intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1)) & (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)))), 1.44/0.58 inference(nnf_transformation,[],[f21])). 1.44/0.58 tff(f21,plain,( 1.44/0.58 ! [X0 : element,X1 : set] : (empty_set = intersection(singleton(X0),X1) <=> cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1))), 1.44/0.58 inference(rectify,[],[f6])). 1.44/0.58 tff(f6,axiom,( 1.44/0.58 ! [X0 : element,X3 : set] : (empty_set = intersection(singleton(X0),X3) <=> cardinality(union(singleton(X0),X3)) = $sum(cardinality(X3),1))), 1.44/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_intersection_2)). 1.44/0.58 tff(f48,plain,( 1.44/0.58 $sum(sK2,1) != cardinality(union(singleton(sK0),sK1))), 1.44/0.58 inference(cnf_transformation,[],[f28])). 1.44/0.58 % SZS output end Proof for theBenchmark 1.44/0.58 % (6760)------------------------------ 1.44/0.58 % (6760)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.44/0.58 % (6760)Termination reason: Refutation 1.44/0.58 1.44/0.58 % (6760)Memory used [KB]: 10874 1.44/0.58 % (6760)Time elapsed: 0.161 s 1.44/0.58 % (6760)------------------------------ 1.44/0.58 % (6760)------------------------------ 1.44/0.58 % (6728)Success in time 0.219 s 1.44/0.58 EOF