0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d 0.11/0.30 Computer : n007.cluster.edu 0.11/0.30 Model : x86_64 x86_64 0.11/0.30 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.30 RAMPerCPU : 8042.1875MB 0.11/0.30 OS : Linux 3.10.0-693.el7.x86_64 0.11/0.30 % CPULimit : 960 0.11/0.30 % WCLimit : 120 0.11/0.30 % DateTime : Tue Aug 9 04:47:57 EDT 2022 0.11/0.31 % CPUTime : 0.11/0.31 This is a FOF_ problem 0.11/0.31 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.31 Running in auto input_syntax mode. Trying TPTP 0.15/0.32 % (405)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:thsq=on_92 on theBenchmark 0.15/0.32 % (402)dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on:thsq=on_2 on theBenchmark 0.15/0.32 % (404)dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=input_only:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on:thsq=on_105 on theBenchmark 0.15/0.33 % (403)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on:thsq=on_6 on theBenchmark 0.15/0.33 % (415)ott-3_4:1_awrs=converge:awrsf=2:acc=model:add=large:afr=on:afp=40000:afq=1.2:anc=none:ccuc=small_ones:fde=unused:gsp=input_only:irw=on:nm=0:nwc=4:sd=4:ss=axioms:s2a=on:st=1.2:sos=on:urr=on:updr=off:uhcvi=on:thsq=on_2 on theBenchmark 0.15/0.33 % (414)ott+4_32_av=off:bsr=on:cond=on:er=known:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lma=on:nm=4:nwc=1.2:sos=theory:thsq=on_197 on theBenchmark 0.15/0.33 % (416)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:thsq=on_2 on theBenchmark 0.15/0.34 % (425)ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on:thsq=on_104 on theBenchmark 0.15/0.34 % (411)WARNING: value z3 for option sas not known 0.15/0.34 % (403)Refutation not found, incomplete strategy% (403)------------------------------ 0.15/0.34 % (403)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.15/0.34 % (403)Termination reason: Refutation not found, incomplete strategy 0.15/0.34 0.15/0.34 % (403)Memory used [KB]: 11129 0.15/0.34 % (403)Time elapsed: 0.004 s 0.15/0.34 % (403)------------------------------ 0.15/0.34 % (403)------------------------------ 0.15/0.34 % (417)lrs-2_6_acc=on:afp=40000:afq=1.2:amm=sco:anc=none:bs=on:bsr=on:cond=on:fsr=off:fde=none:lcm=reverse:lma=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sp=reverse_arity:urr=ec_only:thsq=on_162 on theBenchmark 0.15/0.35 % (419)WARNING: value z3 for option sas not known 0.15/0.35 % (419)lrs+1002_1_add=large:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_145 on theBenchmark 0.15/0.35 % (411)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:thsq=on_85 on theBenchmark 0.15/0.35 % (421)lrs+4_24_av=off:bd=preordered:bsr=on:irw=on:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1.1:stl=30:sos=theory:updr=off:uhcvi=on:thsq=on_220 on theBenchmark 0.15/0.35 % (412)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on:thsq=on_42 on theBenchmark 0.15/0.35 % (406)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_7 on theBenchmark 0.15/0.35 % (420)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence:thsq=on_48 on theBenchmark 0.15/0.35 % (413)lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity:thsq=on_48 on theBenchmark 0.15/0.35 % (402)Refutation not found, incomplete strategy% (402)------------------------------ 0.15/0.35 % (402)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.15/0.35 % (402)Termination reason: Refutation not found, incomplete strategy 0.15/0.35 0.15/0.35 % (402)Memory used [KB]: 11129 0.15/0.35 % (402)Time elapsed: 0.031 s 0.15/0.35 % (402)------------------------------ 0.15/0.35 % (402)------------------------------ 0.15/0.35 % (418)lrs+4_5:4_av=off:bd=off:er=filter:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence:updr=off:thsq=on_230 on theBenchmark 0.15/0.35 % (427)lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on:thsq=on_364 on theBenchmark 0.15/0.35 % (426)WARNING: value z3 for option sas not known 0.15/0.36 % (426)dis+2_128_add=large:afp=100000:afq=1.4:amm=sco:anc=none:lma=on:nm=2:newcnf=on:nwc=1:nicw=on:sas=z3:sos=theory:sac=on:updr=off:thsq=on_288 on theBenchmark 0.15/0.36 % (410)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark 0.15/0.36 % (407)lrs+1_4:1_awrs=converge:awrsf=128:av=off:cond=fast:fde=none:gsp=input_only:gs=on:gsem=on:lcm=predicate:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:s2a=on:st=2.0:sos=on:thsq=on_27 on theBenchmark 0.15/0.36 % (408)lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_3 on theBenchmark 0.15/0.36 % (411)Refutation not found, incomplete strategy% (411)------------------------------ 0.15/0.36 % (411)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.15/0.36 % (411)Termination reason: Refutation not found, incomplete strategy 0.15/0.36 0.15/0.36 % (411)Memory used [KB]: 11129 0.15/0.36 % (411)Time elapsed: 0.032 s 0.15/0.36 % (411)------------------------------ 0.15/0.36 % (411)------------------------------ 0.15/0.36 % (408)Refutation not found, incomplete strategy% (408)------------------------------ 0.15/0.36 % (408)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.15/0.36 % (408)Termination reason: Refutation not found, incomplete strategy 0.15/0.36 0.15/0.36 % (408)Memory used [KB]: 11129 0.15/0.36 % (408)Time elapsed: 0.039 s 0.15/0.36 % (408)------------------------------ 0.15/0.36 % (408)------------------------------ 0.15/0.36 % (409)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark 0.15/0.36 % (423)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off:thsq=on_98 on theBenchmark 0.15/0.37 % (422)dis+1010_5_add=large:afp=10000:afq=1.2:amm=off:bs=unit_only:bsr=on:bce=on:cond=fast:fsr=off:fde=none:gsp=input_only:gs=on:irw=on:lma=on:nm=4:newcnf=on:nwc=1.3:nicw=on:sos=all:sac=on:updr=off:thsq=on_34 on theBenchmark 0.15/0.37 % (404)First to succeed. 0.15/0.38 % (404)Refutation found. Thanks to Tanya! 0.15/0.38 % SZS status Theorem for theBenchmark 0.15/0.38 % SZS output start Proof for theBenchmark 0.15/0.38 fof(f775,plain,( 0.15/0.38 $false), 0.15/0.38 inference(avatar_sat_refutation,[],[f272,f295,f308,f384,f397,f491,f496,f501,f584,f592,f644,f686,f714,f762,f764,f773])). 0.15/0.38 fof(f773,plain,( 0.15/0.38 ~spl26_16 | ~spl26_20 | spl26_25 | ~spl26_32), 0.15/0.38 inference(avatar_contradiction_clause,[],[f769])). 0.15/0.38 fof(f769,plain,( 0.15/0.38 $false | (~spl26_16 | ~spl26_20 | spl26_25 | ~spl26_32)), 0.15/0.38 inference(unit_resulting_resolution,[],[f383,f290,f494,f591,f529])). 0.15/0.38 fof(f529,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (~member(ordered_pair(X2,X0),X3) | ~member(X0,X1) | member(X2,inverse2(X3,X1)) | ~relation_like(X3)) )), 0.15/0.38 inference(resolution,[],[f528,f283])). 0.15/0.38 fof(f283,plain,( 0.15/0.38 ( ! [X0 : $i] : (ilf_type(X0,binary_relation_type) | ~relation_like(X0)) )), 0.15/0.38 inference(subsumption_resolution,[],[f197,f121])). 0.15/0.38 fof(f121,plain,( 0.15/0.38 ( ! [X0 : $i] : (ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f13])). 0.15/0.38 fof(f13,axiom,( 0.15/0.38 ! [X0] : ilf_type(X0,set_type)), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27)). 0.15/0.38 fof(f197,plain,( 0.15/0.38 ( ! [X0 : $i] : (ilf_type(X0,binary_relation_type) | ~relation_like(X0) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(duplicate_literal_removal,[],[f129])). 0.15/0.38 fof(f129,plain,( 0.15/0.38 ( ! [X0 : $i] : (ilf_type(X0,binary_relation_type) | ~relation_like(X0) | ~ilf_type(X0,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f78])). 0.15/0.38 fof(f78,plain,( 0.15/0.38 ! [X0] : ((((relation_like(X0) & ilf_type(X0,set_type)) | ~ilf_type(X0,binary_relation_type)) & (ilf_type(X0,binary_relation_type) | ~relation_like(X0) | ~ilf_type(X0,set_type))) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(flattening,[],[f77])). 0.15/0.38 fof(f77,plain,( 0.15/0.38 ! [X0] : ((((relation_like(X0) & ilf_type(X0,set_type)) | ~ilf_type(X0,binary_relation_type)) & (ilf_type(X0,binary_relation_type) | (~relation_like(X0) | ~ilf_type(X0,set_type)))) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(nnf_transformation,[],[f36])). 0.15/0.38 fof(f36,plain,( 0.15/0.38 ! [X0] : (((relation_like(X0) & ilf_type(X0,set_type)) <=> ilf_type(X0,binary_relation_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f28])). 0.15/0.38 fof(f28,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => ((relation_like(X0) & ilf_type(X0,set_type)) <=> ilf_type(X0,binary_relation_type)))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15)). 0.15/0.38 fof(f528,plain,( 0.15/0.38 ( ! [X4 : $i,X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X2,binary_relation_type) | ~member(X4,X0) | ~member(ordered_pair(X1,X4),X2) | member(X1,inverse2(X2,X0))) )), 0.15/0.38 inference(subsumption_resolution,[],[f527,f121])). 0.15/0.38 fof(f527,plain,( 0.15/0.38 ( ! [X4 : $i,X2 : $i,X0 : $i,X1 : $i] : (member(X1,inverse2(X2,X0)) | ~member(X4,X0) | ~member(ordered_pair(X1,X4),X2) | ~ilf_type(X2,binary_relation_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f526,f121])). 0.15/0.38 fof(f526,plain,( 0.15/0.38 ( ! [X4 : $i,X2 : $i,X0 : $i,X1 : $i] : (member(X1,inverse2(X2,X0)) | ~member(X4,X0) | ~member(ordered_pair(X1,X4),X2) | ~ilf_type(X2,binary_relation_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f155,f121])). 0.15/0.38 fof(f155,plain,( 0.15/0.38 ( ! [X4 : $i,X2 : $i,X0 : $i,X1 : $i] : (member(X1,inverse2(X2,X0)) | ~member(X4,X0) | ~member(ordered_pair(X1,X4),X2) | ~ilf_type(X4,set_type) | ~ilf_type(X2,binary_relation_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f98])). 0.15/0.38 fof(f98,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : ((((member(sK12(X0,X1,X2),X0) & member(ordered_pair(X1,sK12(X0,X1,X2)),X2) & ilf_type(sK12(X0,X1,X2),set_type)) | ~member(X1,inverse2(X2,X0))) & (member(X1,inverse2(X2,X0)) | ! [X4] : (~member(X4,X0) | ~member(ordered_pair(X1,X4),X2) | ~ilf_type(X4,set_type)))) | ~ilf_type(X2,binary_relation_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f96,f97])). 0.15/0.38 fof(f97,plain,( 0.15/0.38 ! [X0,X1,X2] : (? [X3] : (member(X3,X0) & member(ordered_pair(X1,X3),X2) & ilf_type(X3,set_type)) => (member(sK12(X0,X1,X2),X0) & member(ordered_pair(X1,sK12(X0,X1,X2)),X2) & ilf_type(sK12(X0,X1,X2),set_type)))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f96,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : (((? [X3] : (member(X3,X0) & member(ordered_pair(X1,X3),X2) & ilf_type(X3,set_type)) | ~member(X1,inverse2(X2,X0))) & (member(X1,inverse2(X2,X0)) | ! [X4] : (~member(X4,X0) | ~member(ordered_pair(X1,X4),X2) | ~ilf_type(X4,set_type)))) | ~ilf_type(X2,binary_relation_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(rectify,[],[f95])). 0.15/0.38 fof(f95,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : (((? [X3] : (member(X3,X0) & member(ordered_pair(X1,X3),X2) & ilf_type(X3,set_type)) | ~member(X1,inverse2(X2,X0))) & (member(X1,inverse2(X2,X0)) | ! [X3] : (~member(X3,X0) | ~member(ordered_pair(X1,X3),X2) | ~ilf_type(X3,set_type)))) | ~ilf_type(X2,binary_relation_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(nnf_transformation,[],[f48])). 0.15/0.38 fof(f48,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : ((? [X3] : (member(X3,X0) & member(ordered_pair(X1,X3),X2) & ilf_type(X3,set_type)) <=> member(X1,inverse2(X2,X0))) | ~ilf_type(X2,binary_relation_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f16])). 0.15/0.38 fof(f16,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,set_type) => ! [X2] : (ilf_type(X2,binary_relation_type) => (? [X3] : (member(X3,X0) & member(ordered_pair(X1,X3),X2) & ilf_type(X3,set_type)) <=> member(X1,inverse2(X2,X0))))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1)). 0.15/0.38 fof(f591,plain,( 0.15/0.38 member(ordered_pair(sK4,sK5),sK3) | ~spl26_32), 0.15/0.38 inference(avatar_component_clause,[],[f589])). 0.15/0.38 fof(f589,plain,( 0.15/0.38 spl26_32 <=> member(ordered_pair(sK4,sK5),sK3)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_32])])). 0.15/0.38 fof(f494,plain,( 0.15/0.38 ~member(sK4,inverse2(sK3,sK1)) | spl26_25), 0.15/0.38 inference(avatar_component_clause,[],[f493])). 0.15/0.38 fof(f493,plain,( 0.15/0.38 spl26_25 <=> member(sK4,inverse2(sK3,sK1))), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_25])])). 0.15/0.38 fof(f290,plain,( 0.15/0.38 member(sK5,sK1) | ~spl26_16), 0.15/0.38 inference(avatar_component_clause,[],[f288])). 0.15/0.38 fof(f288,plain,( 0.15/0.38 spl26_16 <=> member(sK5,sK1)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_16])])). 0.15/0.38 fof(f383,plain,( 0.15/0.38 relation_like(sK3) | ~spl26_20), 0.15/0.38 inference(avatar_component_clause,[],[f381])). 0.15/0.38 fof(f381,plain,( 0.15/0.38 spl26_20 <=> relation_like(sK3)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_20])])). 0.15/0.38 fof(f764,plain,( 0.15/0.38 ~spl26_18 | ~spl26_39 | spl26_42), 0.15/0.38 inference(avatar_contradiction_clause,[],[f763])). 0.15/0.38 fof(f763,plain,( 0.15/0.38 $false | (~spl26_18 | ~spl26_39 | spl26_42)), 0.15/0.38 inference(unit_resulting_resolution,[],[f307,f685,f761,f348])). 0.15/0.38 fof(f348,plain,( 0.15/0.38 ( ! [X4 : $i,X3 : $i,X1 : $i] : (~sP24(X4,X3) | member(X3,X1) | ~sP25(X4,X1)) )), 0.15/0.38 inference(subsumption_resolution,[],[f347,f121])). 0.15/0.38 fof(f347,plain,( 0.15/0.38 ( ! [X4 : $i,X3 : $i,X1 : $i] : (member(X3,X1) | ~ilf_type(X1,set_type) | ~sP24(X4,X3) | ~sP25(X4,X1)) )), 0.15/0.38 inference(subsumption_resolution,[],[f194,f121])). 0.15/0.38 fof(f194,plain,( 0.15/0.38 ( ! [X4 : $i,X3 : $i,X1 : $i] : (member(X3,X1) | ~ilf_type(X3,set_type) | ~ilf_type(X1,set_type) | ~sP24(X4,X3) | ~sP25(X4,X1)) )), 0.15/0.38 inference(general_splitting,[],[f192,f193_D])). 0.15/0.38 fof(f193,plain,( 0.15/0.38 ( ! [X4 : $i,X0 : $i,X1 : $i] : (~ilf_type(X4,relation_type(X0,X1)) | ~ilf_type(X0,set_type) | sP25(X4,X1)) )), 0.15/0.38 inference(cnf_transformation,[],[f193_D])). 0.15/0.38 fof(f193_D,plain,( 0.15/0.38 ( ! [X1,X4] : (( ! [X0] : (~ilf_type(X4,relation_type(X0,X1)) | ~ilf_type(X0,set_type)) ) <=> ~sP25(X4,X1)) )), 0.15/0.38 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])])). 0.15/0.38 fof(f192,plain,( 0.15/0.38 ( ! [X4 : $i,X0 : $i,X3 : $i,X1 : $i] : (member(X3,X1) | ~ilf_type(X4,relation_type(X0,X1)) | ~ilf_type(X3,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type) | ~sP24(X4,X3)) )), 0.15/0.38 inference(general_splitting,[],[f161,f191_D])). 0.15/0.38 fof(f191,plain,( 0.15/0.38 ( ! [X4 : $i,X2 : $i,X3 : $i] : (~member(ordered_pair(X2,X3),X4) | ~ilf_type(X2,set_type) | sP24(X4,X3)) )), 0.15/0.38 inference(cnf_transformation,[],[f191_D])). 0.15/0.38 fof(f191_D,plain,( 0.15/0.38 ( ! [X3,X4] : (( ! [X2] : (~member(ordered_pair(X2,X3),X4) | ~ilf_type(X2,set_type)) ) <=> ~sP24(X4,X3)) )), 0.15/0.38 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])])). 0.15/0.38 fof(f161,plain,( 0.15/0.38 ( ! [X4 : $i,X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (member(X3,X1) | ~member(ordered_pair(X2,X3),X4) | ~ilf_type(X4,relation_type(X0,X1)) | ~ilf_type(X3,set_type) | ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f51])). 0.15/0.38 fof(f51,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : (! [X3] : (! [X4] : ((member(X2,X0) & member(X3,X1)) | ~member(ordered_pair(X2,X3),X4) | ~ilf_type(X4,relation_type(X0,X1))) | ~ilf_type(X3,set_type)) | ~ilf_type(X2,set_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(flattening,[],[f50])). 0.15/0.38 fof(f50,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : (! [X3] : (! [X4] : (((member(X2,X0) & member(X3,X1)) | ~member(ordered_pair(X2,X3),X4)) | ~ilf_type(X4,relation_type(X0,X1))) | ~ilf_type(X3,set_type)) | ~ilf_type(X2,set_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f14])). 0.15/0.38 fof(f14,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,set_type) => ! [X2] : (ilf_type(X2,set_type) => ! [X3] : (ilf_type(X3,set_type) => ! [X4] : (ilf_type(X4,relation_type(X0,X1)) => (member(ordered_pair(X2,X3),X4) => (member(X2,X0) & member(X3,X1))))))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2)). 0.15/0.38 fof(f761,plain,( 0.15/0.38 ~member(sK12(sK1,sK4,sK3),sK2) | spl26_42), 0.15/0.38 inference(avatar_component_clause,[],[f759])). 0.15/0.38 fof(f759,plain,( 0.15/0.38 spl26_42 <=> member(sK12(sK1,sK4,sK3),sK2)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_42])])). 0.15/0.38 fof(f685,plain,( 0.15/0.38 sP24(sK3,sK12(sK1,sK4,sK3)) | ~spl26_39), 0.15/0.38 inference(avatar_component_clause,[],[f683])). 0.15/0.38 fof(f683,plain,( 0.15/0.38 spl26_39 <=> sP24(sK3,sK12(sK1,sK4,sK3))), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_39])])). 0.15/0.38 fof(f307,plain,( 0.15/0.38 sP25(sK3,sK2) | ~spl26_18), 0.15/0.38 inference(avatar_component_clause,[],[f305])). 0.15/0.38 fof(f305,plain,( 0.15/0.38 spl26_18 <=> sP25(sK3,sK2)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_18])])). 0.15/0.38 fof(f762,plain,( 0.15/0.38 ~spl26_42 | spl26_41), 0.15/0.38 inference(avatar_split_clause,[],[f757,f711,f759])). 0.15/0.38 fof(f711,plain,( 0.15/0.38 spl26_41 <=> ilf_type(sK12(sK1,sK4,sK3),member_type(sK2))), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_41])])). 0.15/0.38 fof(f757,plain,( 0.15/0.38 ~member(sK12(sK1,sK4,sK3),sK2) | spl26_41), 0.15/0.38 inference(resolution,[],[f713,f336])). 0.15/0.38 fof(f336,plain,( 0.15/0.38 ( ! [X0 : $i,X1 : $i] : (ilf_type(X0,member_type(X1)) | ~member(X0,X1)) )), 0.15/0.38 inference(subsumption_resolution,[],[f335,f298])). 0.15/0.38 fof(f298,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i] : (~empty(X0) | ~member(X2,X0)) )), 0.15/0.38 inference(subsumption_resolution,[],[f297,f121])). 0.15/0.38 fof(f297,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i] : (~member(X2,X0) | ~empty(X0) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f126,f121])). 0.15/0.38 fof(f126,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i] : (~member(X2,X0) | ~ilf_type(X2,set_type) | ~empty(X0) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f76])). 0.15/0.38 fof(f76,plain,( 0.15/0.38 ! [X0] : (((empty(X0) | (member(sK6(X0),X0) & ilf_type(sK6(X0),set_type))) & (! [X2] : (~member(X2,X0) | ~ilf_type(X2,set_type)) | ~empty(X0))) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f74,f75])). 0.15/0.38 fof(f75,plain,( 0.15/0.38 ! [X0] : (? [X1] : (member(X1,X0) & ilf_type(X1,set_type)) => (member(sK6(X0),X0) & ilf_type(sK6(X0),set_type)))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f74,plain,( 0.15/0.38 ! [X0] : (((empty(X0) | ? [X1] : (member(X1,X0) & ilf_type(X1,set_type))) & (! [X2] : (~member(X2,X0) | ~ilf_type(X2,set_type)) | ~empty(X0))) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(rectify,[],[f73])). 0.15/0.38 fof(f73,plain,( 0.15/0.38 ! [X0] : (((empty(X0) | ? [X1] : (member(X1,X0) & ilf_type(X1,set_type))) & (! [X1] : (~member(X1,X0) | ~ilf_type(X1,set_type)) | ~empty(X0))) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(nnf_transformation,[],[f35])). 0.15/0.38 fof(f35,plain,( 0.15/0.38 ! [X0] : ((empty(X0) <=> ! [X1] : (~member(X1,X0) | ~ilf_type(X1,set_type))) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f19])). 0.15/0.38 fof(f19,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => (empty(X0) <=> ! [X1] : (ilf_type(X1,set_type) => ~member(X1,X0))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9)). 0.15/0.38 fof(f335,plain,( 0.15/0.38 ( ! [X0 : $i,X1 : $i] : (ilf_type(X0,member_type(X1)) | ~member(X0,X1) | empty(X1)) )), 0.15/0.38 inference(subsumption_resolution,[],[f334,f121])). 0.15/0.38 fof(f334,plain,( 0.15/0.38 ( ! [X0 : $i,X1 : $i] : (ilf_type(X0,member_type(X1)) | ~member(X0,X1) | empty(X1) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f167,f121])). 0.15/0.38 fof(f167,plain,( 0.15/0.38 ( ! [X0 : $i,X1 : $i] : (ilf_type(X0,member_type(X1)) | ~member(X0,X1) | empty(X1) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f102])). 0.15/0.38 fof(f102,plain,( 0.15/0.38 ! [X0] : (! [X1] : (((member(X0,X1) | ~ilf_type(X0,member_type(X1))) & (ilf_type(X0,member_type(X1)) | ~member(X0,X1))) | empty(X1) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(nnf_transformation,[],[f57])). 0.15/0.38 fof(f57,plain,( 0.15/0.38 ! [X0] : (! [X1] : ((member(X0,X1) <=> ilf_type(X0,member_type(X1))) | empty(X1) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(flattening,[],[f56])). 0.15/0.38 fof(f56,plain,( 0.15/0.38 ! [X0] : (! [X1] : ((member(X0,X1) <=> ilf_type(X0,member_type(X1))) | (empty(X1) | ~ilf_type(X1,set_type))) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f4])). 0.15/0.38 fof(f4,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : ((~empty(X1) & ilf_type(X1,set_type)) => (member(X0,X1) <=> ilf_type(X0,member_type(X1)))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7)). 0.15/0.38 fof(f713,plain,( 0.15/0.38 ~ilf_type(sK12(sK1,sK4,sK3),member_type(sK2)) | spl26_41), 0.15/0.38 inference(avatar_component_clause,[],[f711])). 0.15/0.38 fof(f714,plain,( 0.15/0.38 ~spl26_41 | ~spl26_21 | ~spl26_31 | ~spl26_36), 0.15/0.38 inference(avatar_split_clause,[],[f671,f641,f581,f395,f711])). 0.15/0.38 fof(f395,plain,( 0.15/0.38 spl26_21 <=> ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(sK4,X5),sK3) | ~ilf_type(X5,member_type(sK2)))), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_21])])). 0.15/0.38 fof(f581,plain,( 0.15/0.38 spl26_31 <=> member(sK12(sK1,sK4,sK3),sK1)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_31])])). 0.15/0.38 fof(f641,plain,( 0.15/0.38 spl26_36 <=> member(ordered_pair(sK4,sK12(sK1,sK4,sK3)),sK3)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_36])])). 0.15/0.38 fof(f671,plain,( 0.15/0.38 ~ilf_type(sK12(sK1,sK4,sK3),member_type(sK2)) | (~spl26_21 | ~spl26_31 | ~spl26_36)), 0.15/0.38 inference(subsumption_resolution,[],[f667,f583])). 0.15/0.38 fof(f583,plain,( 0.15/0.38 member(sK12(sK1,sK4,sK3),sK1) | ~spl26_31), 0.15/0.38 inference(avatar_component_clause,[],[f581])). 0.15/0.38 fof(f667,plain,( 0.15/0.38 ~member(sK12(sK1,sK4,sK3),sK1) | ~ilf_type(sK12(sK1,sK4,sK3),member_type(sK2)) | (~spl26_21 | ~spl26_36)), 0.15/0.38 inference(resolution,[],[f643,f396])). 0.15/0.38 fof(f396,plain,( 0.15/0.38 ( ! [X5 : $i] : (~member(ordered_pair(sK4,X5),sK3) | ~member(X5,sK1) | ~ilf_type(X5,member_type(sK2))) ) | ~spl26_21), 0.15/0.38 inference(avatar_component_clause,[],[f395])). 0.15/0.38 fof(f643,plain,( 0.15/0.38 member(ordered_pair(sK4,sK12(sK1,sK4,sK3)),sK3) | ~spl26_36), 0.15/0.38 inference(avatar_component_clause,[],[f641])). 0.15/0.38 fof(f686,plain,( 0.15/0.38 spl26_39 | ~spl26_36), 0.15/0.38 inference(avatar_split_clause,[],[f669,f641,f683])). 0.15/0.38 fof(f669,plain,( 0.15/0.38 sP24(sK3,sK12(sK1,sK4,sK3)) | ~spl26_36), 0.15/0.38 inference(resolution,[],[f643,f300])). 0.15/0.38 fof(f300,plain,( 0.15/0.38 ( ! [X4 : $i,X2 : $i,X3 : $i] : (~member(ordered_pair(X2,X3),X4) | sP24(X4,X3)) )), 0.15/0.38 inference(subsumption_resolution,[],[f191,f121])). 0.15/0.38 fof(f644,plain,( 0.15/0.38 spl26_36 | ~spl26_20 | ~spl26_25), 0.15/0.38 inference(avatar_split_clause,[],[f637,f493,f381,f641])). 0.15/0.38 fof(f637,plain,( 0.15/0.38 member(ordered_pair(sK4,sK12(sK1,sK4,sK3)),sK3) | (~spl26_20 | ~spl26_25)), 0.15/0.38 inference(subsumption_resolution,[],[f630,f383])). 0.15/0.38 fof(f630,plain,( 0.15/0.38 member(ordered_pair(sK4,sK12(sK1,sK4,sK3)),sK3) | ~relation_like(sK3) | ~spl26_25), 0.15/0.38 inference(resolution,[],[f454,f495])). 0.15/0.38 fof(f495,plain,( 0.15/0.38 member(sK4,inverse2(sK3,sK1)) | ~spl26_25), 0.15/0.38 inference(avatar_component_clause,[],[f493])). 0.15/0.38 fof(f454,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~member(X0,inverse2(X1,X2)) | member(ordered_pair(X0,sK12(X2,X0,X1)),X1) | ~relation_like(X1)) )), 0.15/0.38 inference(resolution,[],[f453,f283])). 0.15/0.38 fof(f453,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X2,binary_relation_type) | ~member(X1,inverse2(X2,X0)) | member(ordered_pair(X1,sK12(X0,X1,X2)),X2)) )), 0.15/0.38 inference(subsumption_resolution,[],[f452,f121])). 0.15/0.38 fof(f452,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(ordered_pair(X1,sK12(X0,X1,X2)),X2) | ~member(X1,inverse2(X2,X0)) | ~ilf_type(X2,binary_relation_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f157,f121])). 0.15/0.38 fof(f157,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(ordered_pair(X1,sK12(X0,X1,X2)),X2) | ~member(X1,inverse2(X2,X0)) | ~ilf_type(X2,binary_relation_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f98])). 0.15/0.38 fof(f592,plain,( 0.15/0.38 spl26_32 | ~spl26_24 | spl26_25), 0.15/0.38 inference(avatar_split_clause,[],[f587,f493,f489,f589])). 0.15/0.38 fof(f489,plain,( 0.15/0.38 spl26_24 <=> ! [X3] : inverse4(sK0,sK2,sK3,X3) = inverse2(sK3,X3)), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_24])])). 0.15/0.38 fof(f587,plain,( 0.15/0.38 member(ordered_pair(sK4,sK5),sK3) | (~spl26_24 | spl26_25)), 0.15/0.38 inference(subsumption_resolution,[],[f523,f494])). 0.15/0.38 fof(f523,plain,( 0.15/0.38 member(sK4,inverse2(sK3,sK1)) | member(ordered_pair(sK4,sK5),sK3) | ~spl26_24), 0.15/0.38 inference(forward_demodulation,[],[f118,f490])). 0.15/0.38 fof(f490,plain,( 0.15/0.38 ( ! [X3 : $i] : (inverse4(sK0,sK2,sK3,X3) = inverse2(sK3,X3)) ) | ~spl26_24), 0.15/0.38 inference(avatar_component_clause,[],[f489])). 0.15/0.38 fof(f118,plain,( 0.15/0.38 member(sK4,inverse4(sK0,sK2,sK3,sK1)) | member(ordered_pair(sK4,sK5),sK3)), 0.15/0.38 inference(cnf_transformation,[],[f72])). 0.15/0.38 fof(f72,plain,( 0.15/0.38 (((((~member(sK4,inverse4(sK0,sK2,sK3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(sK4,X5),sK3) | ~ilf_type(X5,member_type(sK2)))) & (member(sK4,inverse4(sK0,sK2,sK3,sK1)) | (member(sK5,sK1) & member(ordered_pair(sK4,sK5),sK3) & ilf_type(sK5,member_type(sK2)))) & ilf_type(sK4,member_type(sK0))) & ilf_type(sK3,relation_type(sK0,sK2))) & ilf_type(sK2,set_type) & ~empty(sK2)) & ilf_type(sK1,set_type) & ~empty(sK1)) & ~empty(sK0) & ilf_type(sK0,set_type)), 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f65,f71,f70,f69,f68,f67,f66])). 0.15/0.38 fof(f66,plain,( 0.15/0.38 ? [X0] : (? [X1] : (? [X2] : (? [X3] : (? [X4] : ((~member(X4,inverse4(X0,X2,X3,X1)) | ! [X5] : (~member(X5,X1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(X0,X2,X3,X1)) | ? [X6] : (member(X6,X1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(X2)))) & ilf_type(X4,member_type(X0))) & ilf_type(X3,relation_type(X0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(X1,set_type) & ~empty(X1)) & ~empty(X0) & ilf_type(X0,set_type)) => (? [X1] : (? [X2] : (? [X3] : (? [X4] : ((~member(X4,inverse4(sK0,X2,X3,X1)) | ! [X5] : (~member(X5,X1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(sK0,X2,X3,X1)) | ? [X6] : (member(X6,X1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(X2)))) & ilf_type(X4,member_type(sK0))) & ilf_type(X3,relation_type(sK0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(X1,set_type) & ~empty(X1)) & ~empty(sK0) & ilf_type(sK0,set_type))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f67,plain,( 0.15/0.38 ? [X1] : (? [X2] : (? [X3] : (? [X4] : ((~member(X4,inverse4(sK0,X2,X3,X1)) | ! [X5] : (~member(X5,X1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(sK0,X2,X3,X1)) | ? [X6] : (member(X6,X1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(X2)))) & ilf_type(X4,member_type(sK0))) & ilf_type(X3,relation_type(sK0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(X1,set_type) & ~empty(X1)) => (? [X2] : (? [X3] : (? [X4] : ((~member(X4,inverse4(sK0,X2,X3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(sK0,X2,X3,sK1)) | ? [X6] : (member(X6,sK1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(X2)))) & ilf_type(X4,member_type(sK0))) & ilf_type(X3,relation_type(sK0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(sK1,set_type) & ~empty(sK1))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f68,plain,( 0.15/0.38 ? [X2] : (? [X3] : (? [X4] : ((~member(X4,inverse4(sK0,X2,X3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(sK0,X2,X3,sK1)) | ? [X6] : (member(X6,sK1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(X2)))) & ilf_type(X4,member_type(sK0))) & ilf_type(X3,relation_type(sK0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) => (? [X3] : (? [X4] : ((~member(X4,inverse4(sK0,sK2,X3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(sK2)))) & (member(X4,inverse4(sK0,sK2,X3,sK1)) | ? [X6] : (member(X6,sK1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(sK2)))) & ilf_type(X4,member_type(sK0))) & ilf_type(X3,relation_type(sK0,sK2))) & ilf_type(sK2,set_type) & ~empty(sK2))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f69,plain,( 0.15/0.38 ? [X3] : (? [X4] : ((~member(X4,inverse4(sK0,sK2,X3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(sK2)))) & (member(X4,inverse4(sK0,sK2,X3,sK1)) | ? [X6] : (member(X6,sK1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(sK2)))) & ilf_type(X4,member_type(sK0))) & ilf_type(X3,relation_type(sK0,sK2))) => (? [X4] : ((~member(X4,inverse4(sK0,sK2,sK3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(X4,X5),sK3) | ~ilf_type(X5,member_type(sK2)))) & (member(X4,inverse4(sK0,sK2,sK3,sK1)) | ? [X6] : (member(X6,sK1) & member(ordered_pair(X4,X6),sK3) & ilf_type(X6,member_type(sK2)))) & ilf_type(X4,member_type(sK0))) & ilf_type(sK3,relation_type(sK0,sK2)))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f70,plain,( 0.15/0.38 ? [X4] : ((~member(X4,inverse4(sK0,sK2,sK3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(X4,X5),sK3) | ~ilf_type(X5,member_type(sK2)))) & (member(X4,inverse4(sK0,sK2,sK3,sK1)) | ? [X6] : (member(X6,sK1) & member(ordered_pair(X4,X6),sK3) & ilf_type(X6,member_type(sK2)))) & ilf_type(X4,member_type(sK0))) => ((~member(sK4,inverse4(sK0,sK2,sK3,sK1)) | ! [X5] : (~member(X5,sK1) | ~member(ordered_pair(sK4,X5),sK3) | ~ilf_type(X5,member_type(sK2)))) & (member(sK4,inverse4(sK0,sK2,sK3,sK1)) | ? [X6] : (member(X6,sK1) & member(ordered_pair(sK4,X6),sK3) & ilf_type(X6,member_type(sK2)))) & ilf_type(sK4,member_type(sK0)))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f71,plain,( 0.15/0.38 ? [X6] : (member(X6,sK1) & member(ordered_pair(sK4,X6),sK3) & ilf_type(X6,member_type(sK2))) => (member(sK5,sK1) & member(ordered_pair(sK4,sK5),sK3) & ilf_type(sK5,member_type(sK2)))), 0.15/0.38 introduced(choice_axiom,[])). 0.15/0.38 fof(f65,plain,( 0.15/0.38 ? [X0] : (? [X1] : (? [X2] : (? [X3] : (? [X4] : ((~member(X4,inverse4(X0,X2,X3,X1)) | ! [X5] : (~member(X5,X1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(X0,X2,X3,X1)) | ? [X6] : (member(X6,X1) & member(ordered_pair(X4,X6),X3) & ilf_type(X6,member_type(X2)))) & ilf_type(X4,member_type(X0))) & ilf_type(X3,relation_type(X0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(X1,set_type) & ~empty(X1)) & ~empty(X0) & ilf_type(X0,set_type))), 0.15/0.38 inference(rectify,[],[f64])). 0.15/0.38 fof(f64,plain,( 0.15/0.38 ? [X0] : (? [X1] : (? [X2] : (? [X3] : (? [X4] : ((~member(X4,inverse4(X0,X2,X3,X1)) | ! [X5] : (~member(X5,X1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(X0,X2,X3,X1)) | ? [X5] : (member(X5,X1) & member(ordered_pair(X4,X5),X3) & ilf_type(X5,member_type(X2)))) & ilf_type(X4,member_type(X0))) & ilf_type(X3,relation_type(X0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(X1,set_type) & ~empty(X1)) & ~empty(X0) & ilf_type(X0,set_type))), 0.15/0.38 inference(flattening,[],[f63])). 0.15/0.38 fof(f63,plain,( 0.15/0.38 ? [X0] : (? [X1] : (? [X2] : (? [X3] : (? [X4] : (((~member(X4,inverse4(X0,X2,X3,X1)) | ! [X5] : (~member(X5,X1) | ~member(ordered_pair(X4,X5),X3) | ~ilf_type(X5,member_type(X2)))) & (member(X4,inverse4(X0,X2,X3,X1)) | ? [X5] : (member(X5,X1) & member(ordered_pair(X4,X5),X3) & ilf_type(X5,member_type(X2))))) & ilf_type(X4,member_type(X0))) & ilf_type(X3,relation_type(X0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(X1,set_type) & ~empty(X1)) & ~empty(X0) & ilf_type(X0,set_type))), 0.15/0.38 inference(nnf_transformation,[],[f31])). 0.15/0.38 fof(f31,plain,( 0.15/0.38 ? [X0] : (? [X1] : (? [X2] : (? [X3] : (? [X4] : ((? [X5] : (member(X5,X1) & member(ordered_pair(X4,X5),X3) & ilf_type(X5,member_type(X2))) <~> member(X4,inverse4(X0,X2,X3,X1))) & ilf_type(X4,member_type(X0))) & ilf_type(X3,relation_type(X0,X2))) & ilf_type(X2,set_type) & ~empty(X2)) & ilf_type(X1,set_type) & ~empty(X1)) & ~empty(X0) & ilf_type(X0,set_type))), 0.15/0.38 inference(flattening,[],[f30])). 0.15/0.38 fof(f30,plain,( 0.15/0.38 ? [X0] : (? [X1] : (? [X2] : (? [X3] : (? [X4] : ((? [X5] : (member(X5,X1) & member(ordered_pair(X4,X5),X3) & ilf_type(X5,member_type(X2))) <~> member(X4,inverse4(X0,X2,X3,X1))) & ilf_type(X4,member_type(X0))) & ilf_type(X3,relation_type(X0,X2))) & (ilf_type(X2,set_type) & ~empty(X2))) & (ilf_type(X1,set_type) & ~empty(X1))) & (~empty(X0) & ilf_type(X0,set_type)))), 0.15/0.38 inference(ennf_transformation,[],[f12])). 0.15/0.38 fof(f12,negated_conjecture,( 0.15/0.38 ~! [X0] : ((~empty(X0) & ilf_type(X0,set_type)) => ! [X1] : ((ilf_type(X1,set_type) & ~empty(X1)) => ! [X2] : ((ilf_type(X2,set_type) & ~empty(X2)) => ! [X3] : (ilf_type(X3,relation_type(X0,X2)) => ! [X4] : (ilf_type(X4,member_type(X0)) => (? [X5] : (member(X5,X1) & member(ordered_pair(X4,X5),X3) & ilf_type(X5,member_type(X2))) <=> member(X4,inverse4(X0,X2,X3,X1))))))))), 0.15/0.38 inference(negated_conjecture,[],[f11])). 0.15/0.38 fof(f11,conjecture,( 0.15/0.38 ! [X0] : ((~empty(X0) & ilf_type(X0,set_type)) => ! [X1] : ((ilf_type(X1,set_type) & ~empty(X1)) => ! [X2] : ((ilf_type(X2,set_type) & ~empty(X2)) => ! [X3] : (ilf_type(X3,relation_type(X0,X2)) => ! [X4] : (ilf_type(X4,member_type(X0)) => (? [X5] : (member(X5,X1) & member(ordered_pair(X4,X5),X3) & ilf_type(X5,member_type(X2))) <=> member(X4,inverse4(X0,X2,X3,X1))))))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_53)). 0.15/0.38 fof(f584,plain,( 0.15/0.38 spl26_31 | ~spl26_20 | ~spl26_25), 0.15/0.38 inference(avatar_split_clause,[],[f579,f493,f381,f581])). 0.15/0.38 fof(f579,plain,( 0.15/0.38 member(sK12(sK1,sK4,sK3),sK1) | (~spl26_20 | ~spl26_25)), 0.15/0.38 inference(subsumption_resolution,[],[f572,f383])). 0.15/0.38 fof(f572,plain,( 0.15/0.38 member(sK12(sK1,sK4,sK3),sK1) | ~relation_like(sK3) | ~spl26_25), 0.15/0.38 inference(resolution,[],[f447,f495])). 0.15/0.38 fof(f447,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~member(X0,inverse2(X1,X2)) | member(sK12(X2,X0,X1),X2) | ~relation_like(X1)) )), 0.15/0.38 inference(resolution,[],[f446,f283])). 0.15/0.38 fof(f446,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X2,binary_relation_type) | ~member(X1,inverse2(X2,X0)) | member(sK12(X0,X1,X2),X0)) )), 0.15/0.38 inference(subsumption_resolution,[],[f445,f121])). 0.15/0.38 fof(f445,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(sK12(X0,X1,X2),X0) | ~member(X1,inverse2(X2,X0)) | ~ilf_type(X2,binary_relation_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f158,f121])). 0.15/0.38 fof(f158,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(sK12(X0,X1,X2),X0) | ~member(X1,inverse2(X2,X0)) | ~ilf_type(X2,binary_relation_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f98])). 0.15/0.38 fof(f501,plain,( 0.15/0.38 ~spl26_25 | spl26_17 | ~spl26_24), 0.15/0.38 inference(avatar_split_clause,[],[f498,f489,f292,f493])). 0.15/0.38 fof(f292,plain,( 0.15/0.38 spl26_17 <=> member(sK4,inverse4(sK0,sK2,sK3,sK1))), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_17])])). 0.15/0.38 fof(f498,plain,( 0.15/0.38 ~member(sK4,inverse2(sK3,sK1)) | (spl26_17 | ~spl26_24)), 0.15/0.38 inference(backward_demodulation,[],[f293,f490])). 0.15/0.38 fof(f293,plain,( 0.15/0.38 ~member(sK4,inverse4(sK0,sK2,sK3,sK1)) | spl26_17), 0.15/0.38 inference(avatar_component_clause,[],[f292])). 0.15/0.38 fof(f496,plain,( 0.15/0.38 spl26_25 | ~spl26_14 | ~spl26_17), 0.15/0.38 inference(avatar_split_clause,[],[f487,f292,f269,f493])). 0.15/0.38 fof(f269,plain,( 0.15/0.38 spl26_14 <=> ilf_type(sK3,relation_type(sK0,sK2))), 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl26_14])])). 0.15/0.38 fof(f487,plain,( 0.15/0.38 member(sK4,inverse2(sK3,sK1)) | (~spl26_14 | ~spl26_17)), 0.15/0.38 inference(backward_demodulation,[],[f294,f473])). 0.15/0.38 fof(f473,plain,( 0.15/0.38 ( ! [X3 : $i] : (inverse4(sK0,sK2,sK3,X3) = inverse2(sK3,X3)) ) | ~spl26_14), 0.15/0.38 inference(resolution,[],[f469,f271])). 0.15/0.38 fof(f271,plain,( 0.15/0.38 ilf_type(sK3,relation_type(sK0,sK2)) | ~spl26_14), 0.15/0.38 inference(avatar_component_clause,[],[f269])). 0.15/0.38 fof(f469,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (~ilf_type(X2,relation_type(X0,X1)) | inverse4(X0,X1,X2,X3) = inverse2(X2,X3)) )), 0.15/0.38 inference(subsumption_resolution,[],[f468,f121])). 0.15/0.38 fof(f468,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (inverse4(X0,X1,X2,X3) = inverse2(X2,X3) | ~ilf_type(X2,relation_type(X0,X1)) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f467,f121])). 0.15/0.38 fof(f467,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (inverse4(X0,X1,X2,X3) = inverse2(X2,X3) | ~ilf_type(X2,relation_type(X0,X1)) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f164,f121])). 0.15/0.38 fof(f164,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (inverse4(X0,X1,X2,X3) = inverse2(X2,X3) | ~ilf_type(X3,set_type) | ~ilf_type(X2,relation_type(X0,X1)) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f53])). 0.15/0.38 fof(f53,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : (! [X3] : (inverse4(X0,X1,X2,X3) = inverse2(X2,X3) | ~ilf_type(X3,set_type)) | ~ilf_type(X2,relation_type(X0,X1))) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f24])). 0.15/0.38 fof(f24,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,set_type) => ! [X2] : (ilf_type(X2,relation_type(X0,X1)) => ! [X3] : (ilf_type(X3,set_type) => inverse4(X0,X1,X2,X3) = inverse2(X2,X3)))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25)). 0.15/0.38 fof(f294,plain,( 0.15/0.38 member(sK4,inverse4(sK0,sK2,sK3,sK1)) | ~spl26_17), 0.15/0.38 inference(avatar_component_clause,[],[f292])). 0.15/0.38 fof(f491,plain,( 0.15/0.38 spl26_24 | ~spl26_14), 0.15/0.38 inference(avatar_split_clause,[],[f473,f269,f489])). 0.15/0.38 fof(f397,plain,( 0.15/0.38 spl26_21 | ~spl26_17), 0.15/0.38 inference(avatar_split_clause,[],[f392,f292,f395])). 0.15/0.38 fof(f392,plain,( 0.15/0.38 ( ! [X5 : $i] : (~member(X5,sK1) | ~member(ordered_pair(sK4,X5),sK3) | ~ilf_type(X5,member_type(sK2))) ) | ~spl26_17), 0.15/0.38 inference(subsumption_resolution,[],[f120,f294])). 0.15/0.38 fof(f120,plain,( 0.15/0.38 ( ! [X5 : $i] : (~member(sK4,inverse4(sK0,sK2,sK3,sK1)) | ~member(X5,sK1) | ~member(ordered_pair(sK4,X5),sK3) | ~ilf_type(X5,member_type(sK2))) )), 0.15/0.38 inference(cnf_transformation,[],[f72])). 0.15/0.38 fof(f384,plain,( 0.15/0.38 spl26_20 | ~spl26_14), 0.15/0.38 inference(avatar_split_clause,[],[f378,f269,f381])). 0.15/0.38 fof(f378,plain,( 0.15/0.38 relation_like(sK3) | ~spl26_14), 0.15/0.38 inference(resolution,[],[f368,f271])). 0.15/0.38 fof(f368,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X0,relation_type(X1,X2)) | relation_like(X0)) )), 0.15/0.38 inference(resolution,[],[f365,f313])). 0.15/0.38 fof(f313,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X2,subset_type(cross_product(X0,X1))) | relation_like(X2)) )), 0.15/0.38 inference(subsumption_resolution,[],[f312,f121])). 0.15/0.38 fof(f312,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (relation_like(X2) | ~ilf_type(X2,subset_type(cross_product(X0,X1))) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f165,f121])). 0.15/0.38 fof(f165,plain,( 0.15/0.38 ( ! [X2 : $i,X0 : $i,X1 : $i] : (relation_like(X2) | ~ilf_type(X2,subset_type(cross_product(X0,X1))) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f54])). 0.15/0.38 fof(f54,plain,( 0.15/0.38 ! [X0] : (! [X1] : (! [X2] : (relation_like(X2) | ~ilf_type(X2,subset_type(cross_product(X0,X1)))) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f23])). 0.15/0.38 fof(f23,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,set_type) => ! [X2] : (ilf_type(X2,subset_type(cross_product(X0,X1))) => relation_like(X2))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24)). 0.15/0.38 fof(f365,plain,( 0.15/0.38 ( ! [X0 : $i,X3 : $i,X1 : $i] : (ilf_type(X3,subset_type(cross_product(X0,X1))) | ~ilf_type(X3,relation_type(X0,X1))) )), 0.15/0.38 inference(subsumption_resolution,[],[f364,f121])). 0.15/0.38 fof(f364,plain,( 0.15/0.38 ( ! [X0 : $i,X3 : $i,X1 : $i] : (ilf_type(X3,subset_type(cross_product(X0,X1))) | ~ilf_type(X3,relation_type(X0,X1)) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(subsumption_resolution,[],[f142,f121])). 0.15/0.38 fof(f142,plain,( 0.15/0.38 ( ! [X0 : $i,X3 : $i,X1 : $i] : (ilf_type(X3,subset_type(cross_product(X0,X1))) | ~ilf_type(X3,relation_type(X0,X1)) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)) )), 0.15/0.38 inference(cnf_transformation,[],[f43])). 0.15/0.38 fof(f43,plain,( 0.15/0.38 ! [X0] : (! [X1] : ((! [X2] : (ilf_type(X2,relation_type(X0,X1)) | ~ilf_type(X2,subset_type(cross_product(X0,X1)))) & ! [X3] : (ilf_type(X3,subset_type(cross_product(X0,X1))) | ~ilf_type(X3,relation_type(X0,X1)))) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.38 inference(ennf_transformation,[],[f18])). 0.15/0.38 fof(f18,axiom,( 0.15/0.38 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,set_type) => (! [X2] : (ilf_type(X2,subset_type(cross_product(X0,X1))) => ilf_type(X2,relation_type(X0,X1))) & ! [X3] : (ilf_type(X3,relation_type(X0,X1)) => ilf_type(X3,subset_type(cross_product(X0,X1)))))))), 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5)). 0.15/0.38 fof(f308,plain,( 0.15/0.38 spl26_18 | ~spl26_14), 0.15/0.38 inference(avatar_split_clause,[],[f302,f269,f305])). 0.15/0.38 fof(f302,plain,( 0.15/0.38 sP25(sK3,sK2) | ~spl26_14), 0.15/0.38 inference(resolution,[],[f301,f271])). 0.15/0.38 fof(f301,plain,( 0.15/0.38 ( ! [X4 : $i,X0 : $i,X1 : $i] : (~ilf_type(X4,relation_type(X0,X1)) | sP25(X4,X1)) )), 0.15/0.38 inference(subsumption_resolution,[],[f193,f121])). 0.15/0.38 fof(f295,plain,( 0.15/0.38 spl26_16 | spl26_17), 0.15/0.38 inference(avatar_split_clause,[],[f119,f292,f288])). 0.15/0.38 fof(f119,plain,( 0.15/0.38 member(sK4,inverse4(sK0,sK2,sK3,sK1)) | member(sK5,sK1)), 0.15/0.38 inference(cnf_transformation,[],[f72])). 0.15/0.38 fof(f272,plain,( 0.15/0.38 spl26_14), 0.15/0.38 inference(avatar_split_clause,[],[f115,f269])). 0.15/0.38 fof(f115,plain,( 0.15/0.38 ilf_type(sK3,relation_type(sK0,sK2))), 0.15/0.38 inference(cnf_transformation,[],[f72])). 0.15/0.38 % SZS output end Proof for theBenchmark 0.15/0.38 % (404)------------------------------ 0.15/0.38 % (404)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.15/0.38 % (404)Termination reason: Refutation 0.15/0.38 0.15/0.38 % (404)Memory used [KB]: 7164 0.15/0.38 % (404)Time elapsed: 0.038 s 0.15/0.38 % (404)------------------------------ 0.15/0.38 % (404)------------------------------ 0.15/0.38 % (401)Success in time 0.062 s 0.15/0.38 EOF