0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : run_vampire %s %d 0.10/0.31 Computer : n027.cluster.edu 0.10/0.31 Model : x86_64 x86_64 0.10/0.31 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 RAMPerCPU : 8042.1875MB 0.10/0.31 OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 04:58:36 EDT 2022 0.10/0.31 % CPUTime : 0.10/0.32 This is a FOF_ problem 0.10/0.32 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.32 Running in auto input_syntax mode. Trying TPTP 0.15/0.36 % (20173)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 0.15/0.36 % (20174)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 0.15/0.36 % (20175)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 0.15/0.36 % (20176)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 0.15/0.36 % (20181)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 0.15/0.37 % (20182)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 % (20172)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 0.15/0.37 % (20168)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 0.15/0.37 % (20167)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 0.15/0.38 % (20166)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 0.15/0.38 % (20184)lrs+3_64_add=large:afp=40000:afq=1.4:anc=none:bd=preordered:bsr=on:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:lcm=predicate:lma=on:lwlo=on:nm=16:newcnf=on:nwc=1.2:stl=90:sos=theory:thsq=on_285 on theBenchmark 0.15/0.38 % (20183)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 0.15/0.39 % (20164)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 0.15/0.39 % (20171)WARNING: value z3 for option sas not known 0.15/0.39 % (20171)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 0.15/0.39 % (20186)WARNING: value z3 for option sas not known 0.15/0.39 % (20186)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 0.15/0.40 % (20165)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 0.15/0.40 % (20180)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence:thsq=on_48 on theBenchmark 0.15/0.40 % (20170)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark 0.15/0.40 % (20187)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 0.15/0.40 % (20185)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 0.15/0.40 % (20177)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 0.15/0.41 % (20169)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark 0.15/0.41 % (20179)WARNING: value z3 for option sas not known 0.15/0.41 % (20178)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 0.15/0.41 % (20179)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 0.15/0.41 % (20182)First to succeed. 0.15/0.41 % (20163)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 0.15/0.42 % (20171)Refutation not found, incomplete strategy% (20171)------------------------------ 0.15/0.42 % (20171)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.15/0.42 % (20171)Termination reason: Refutation not found, incomplete strategy 0.15/0.42 0.15/0.42 % (20171)Memory used [KB]: 11001 0.15/0.42 % (20171)Time elapsed: 0.067 s 0.15/0.42 % (20171)------------------------------ 0.15/0.42 % (20171)------------------------------ 0.15/0.42 % (20182)Refutation found. Thanks to Tanya! 0.15/0.42 % SZS status Theorem for theBenchmark 0.15/0.42 % SZS output start Proof for theBenchmark 0.15/0.42 fof(f952,plain,( 0.15/0.42 $false), 0.15/0.42 inference(avatar_sat_refutation,[],[f194,f210,f233,f260,f278,f291,f320,f347,f380,f388,f406,f435,f478,f653,f667,f690,f801,f844,f847,f914,f932,f951])). 0.15/0.42 fof(f951,plain,( 0.15/0.42 ~spl24_61 | spl24_62 | spl24_17 | ~spl24_72), 0.15/0.42 inference(avatar_split_clause,[],[f933,f929,f317,f841,f837])). 0.15/0.42 fof(f837,plain,( 0.15/0.42 spl24_61 <=> ilf_type(sK9(sK3,sK2),set_type)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_61])])). 0.15/0.42 fof(f841,plain,( 0.15/0.42 spl24_62 <=> member(sK9(sK3,sK2),sK1)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_62])])). 0.15/0.42 fof(f317,plain,( 0.15/0.42 spl24_17 <=> sP21(sK2,sK1)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_17])])). 0.15/0.42 fof(f929,plain,( 0.15/0.42 spl24_72 <=> sP20(sK2,sK9(sK3,sK2))), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_72])])). 0.15/0.42 fof(f933,plain,( 0.15/0.42 member(sK9(sK3,sK2),sK1) | ~ilf_type(sK9(sK3,sK2),set_type) | (spl24_17 | ~spl24_72)), 0.15/0.42 inference(resolution,[],[f931,f321])). 0.15/0.42 fof(f321,plain,( 0.15/0.42 ( ! [X0 : $i] : (~sP20(sK2,X0) | member(X0,sK1) | ~ilf_type(X0,set_type)) ) | spl24_17), 0.15/0.42 inference(resolution,[],[f319,f150])). 0.15/0.42 fof(f150,plain,( 0.15/0.42 ( ! [X4 : $i,X2 : $i,X0 : $i] : (~ilf_type(X2,set_type) | member(X2,X0) | ~sP20(X4,X2) | sP21(X4,X0)) )), 0.15/0.42 inference(cnf_transformation,[],[f150_D])). 0.15/0.42 fof(f150_D,plain,( 0.15/0.42 ( ! [X0,X4] : (( ! [X2] : (~ilf_type(X2,set_type) | member(X2,X0) | ~sP20(X4,X2)) ) <=> ~sP21(X4,X0)) )), 0.15/0.42 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])])). 0.15/0.42 fof(f319,plain,( 0.15/0.42 ~sP21(sK2,sK1) | spl24_17), 0.15/0.42 inference(avatar_component_clause,[],[f317])). 0.15/0.42 fof(f931,plain,( 0.15/0.42 sP20(sK2,sK9(sK3,sK2)) | ~spl24_72), 0.15/0.42 inference(avatar_component_clause,[],[f929])). 0.15/0.42 fof(f932,plain,( 0.15/0.42 spl24_72 | ~spl24_11 | ~spl24_71), 0.15/0.42 inference(avatar_split_clause,[],[f919,f911,f272,f929])). 0.15/0.42 fof(f272,plain,( 0.15/0.42 spl24_11 <=> ilf_type(sK3,set_type)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_11])])). 0.15/0.42 fof(f911,plain,( 0.15/0.42 spl24_71 <=> member(ordered_pair(sK9(sK3,sK2),sK3),sK2)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_71])])). 0.15/0.42 fof(f919,plain,( 0.15/0.42 ~ilf_type(sK3,set_type) | sP20(sK2,sK9(sK3,sK2)) | ~spl24_71), 0.15/0.42 inference(resolution,[],[f913,f148])). 0.15/0.42 fof(f148,plain,( 0.15/0.42 ( ! [X4 : $i,X2 : $i,X3 : $i] : (~ilf_type(X3,set_type) | ~member(ordered_pair(X2,X3),X4) | sP20(X4,X2)) )), 0.15/0.42 inference(cnf_transformation,[],[f148_D])). 0.15/0.42 fof(f148_D,plain,( 0.15/0.42 ( ! [X2,X4] : (( ! [X3] : (~ilf_type(X3,set_type) | ~member(ordered_pair(X2,X3),X4)) ) <=> ~sP20(X4,X2)) )), 0.15/0.42 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])])). 0.15/0.42 fof(f913,plain,( 0.15/0.42 member(ordered_pair(sK9(sK3,sK2),sK3),sK2) | ~spl24_71), 0.15/0.42 inference(avatar_component_clause,[],[f911])). 0.15/0.42 fof(f914,plain,( 0.15/0.42 spl24_71 | ~spl24_27 | ~spl24_11 | ~spl24_48), 0.15/0.42 inference(avatar_split_clause,[],[f669,f650,f272,f403,f911])). 0.15/0.42 fof(f403,plain,( 0.15/0.42 spl24_27 <=> ilf_type(sK2,binary_relation_type)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_27])])). 0.15/0.42 fof(f650,plain,( 0.15/0.42 spl24_48 <=> member(sK3,range_of(sK2))), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_48])])). 0.15/0.42 fof(f669,plain,( 0.15/0.42 ~ilf_type(sK3,set_type) | ~ilf_type(sK2,binary_relation_type) | member(ordered_pair(sK9(sK3,sK2),sK3),sK2) | ~spl24_48), 0.15/0.42 inference(resolution,[],[f652,f98])). 0.15/0.42 fof(f98,plain,( 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,binary_relation_type) | member(ordered_pair(sK9(X0,X1),X0),X1) | ~member(X0,range_of(X1))) )), 0.15/0.42 inference(cnf_transformation,[],[f44])). 0.15/0.42 fof(f44,plain,( 0.15/0.42 ! [X0] : (! [X1] : ((member(X0,range_of(X1)) <=> ? [X2] : (ilf_type(X2,set_type) & member(ordered_pair(X2,X0),X1))) | ~ilf_type(X1,binary_relation_type)) | ~ilf_type(X0,set_type))), 0.15/0.42 inference(ennf_transformation,[],[f15])). 0.15/0.42 fof(f15,axiom,( 0.15/0.42 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,binary_relation_type) => (member(X0,range_of(X1)) <=> ? [X2] : (ilf_type(X2,set_type) & member(ordered_pair(X2,X0),X1)))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1)). 0.15/0.42 fof(f652,plain,( 0.15/0.42 member(sK3,range_of(sK2)) | ~spl24_48), 0.15/0.42 inference(avatar_component_clause,[],[f650])). 0.15/0.42 fof(f847,plain,( 0.15/0.42 spl24_61), 0.15/0.42 inference(avatar_contradiction_clause,[],[f846])). 0.15/0.42 fof(f846,plain,( 0.15/0.42 $false | spl24_61), 0.15/0.42 inference(resolution,[],[f839,f81])). 0.15/0.42 fof(f81,plain,( 0.15/0.42 ( ! [X0 : $i] : (ilf_type(X0,set_type)) )), 0.15/0.42 inference(cnf_transformation,[],[f12])). 0.15/0.42 fof(f12,axiom,( 0.15/0.42 ! [X0] : ilf_type(X0,set_type)), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31)). 0.15/0.42 fof(f839,plain,( 0.15/0.42 ~ilf_type(sK9(sK3,sK2),set_type) | spl24_61), 0.15/0.42 inference(avatar_component_clause,[],[f837])). 0.15/0.42 fof(f844,plain,( 0.15/0.42 ~spl24_61 | ~spl24_62 | ~spl24_30 | spl24_59), 0.15/0.42 inference(avatar_split_clause,[],[f802,f798,f433,f841,f837])). 0.15/0.42 fof(f433,plain,( 0.15/0.42 spl24_30 <=> ! [X1] : (~ilf_type(X1,set_type) | ~member(X1,sK1) | ilf_type(X1,member_type(sK1)))), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_30])])). 0.15/0.42 fof(f798,plain,( 0.15/0.42 spl24_59 <=> ilf_type(sK9(sK3,sK2),member_type(sK1))), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_59])])). 0.15/0.42 fof(f802,plain,( 0.15/0.42 ~member(sK9(sK3,sK2),sK1) | ~ilf_type(sK9(sK3,sK2),set_type) | (~spl24_30 | spl24_59)), 0.15/0.42 inference(resolution,[],[f800,f434])). 0.15/0.42 fof(f434,plain,( 0.15/0.42 ( ! [X1 : $i] : (ilf_type(X1,member_type(sK1)) | ~member(X1,sK1) | ~ilf_type(X1,set_type)) ) | ~spl24_30), 0.15/0.42 inference(avatar_component_clause,[],[f433])). 0.15/0.42 fof(f800,plain,( 0.15/0.42 ~ilf_type(sK9(sK3,sK2),member_type(sK1)) | spl24_59), 0.15/0.42 inference(avatar_component_clause,[],[f798])). 0.15/0.42 fof(f801,plain,( 0.15/0.42 ~spl24_48 | ~spl24_27 | ~spl24_11 | ~spl24_59 | ~spl24_7), 0.15/0.42 inference(avatar_split_clause,[],[f703,f231,f798,f272,f403,f650])). 0.15/0.42 fof(f231,plain,( 0.15/0.42 spl24_7 <=> ! [X4] : (~member(ordered_pair(X4,sK3),sK2) | ~ilf_type(X4,member_type(sK1)))), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_7])])). 0.15/0.42 fof(f703,plain,( 0.15/0.42 ~ilf_type(sK9(sK3,sK2),member_type(sK1)) | ~ilf_type(sK3,set_type) | ~ilf_type(sK2,binary_relation_type) | ~member(sK3,range_of(sK2)) | ~spl24_7), 0.15/0.42 inference(resolution,[],[f232,f98])). 0.15/0.42 fof(f232,plain,( 0.15/0.42 ( ! [X4 : $i] : (~member(ordered_pair(X4,sK3),sK2) | ~ilf_type(X4,member_type(sK1))) ) | ~spl24_7), 0.15/0.42 inference(avatar_component_clause,[],[f231])). 0.15/0.42 fof(f690,plain,( 0.15/0.42 spl24_1 | ~spl24_35 | ~spl24_48), 0.15/0.42 inference(avatar_contradiction_clause,[],[f688])). 0.15/0.42 fof(f688,plain,( 0.15/0.42 $false | (spl24_1 | ~spl24_35 | ~spl24_48)), 0.15/0.42 inference(subsumption_resolution,[],[f652,f479])). 0.15/0.42 fof(f479,plain,( 0.15/0.42 ~member(sK3,range_of(sK2)) | (spl24_1 | ~spl24_35)), 0.15/0.42 inference(backward_demodulation,[],[f177,f477])). 0.15/0.42 fof(f477,plain,( 0.15/0.42 range(sK1,sK0,sK2) = range_of(sK2) | ~spl24_35), 0.15/0.42 inference(avatar_component_clause,[],[f475])). 0.15/0.42 fof(f475,plain,( 0.15/0.42 spl24_35 <=> range(sK1,sK0,sK2) = range_of(sK2)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_35])])). 0.15/0.42 fof(f177,plain,( 0.15/0.42 ~member(sK3,range(sK1,sK0,sK2)) | spl24_1), 0.15/0.42 inference(avatar_component_clause,[],[f176])). 0.15/0.42 fof(f176,plain,( 0.15/0.42 spl24_1 <=> member(sK3,range(sK1,sK0,sK2))), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_1])])). 0.15/0.42 fof(f667,plain,( 0.15/0.42 ~spl24_1 | ~spl24_35 | spl24_48), 0.15/0.42 inference(avatar_contradiction_clause,[],[f665])). 0.15/0.42 fof(f665,plain,( 0.15/0.42 $false | (~spl24_1 | ~spl24_35 | spl24_48)), 0.15/0.42 inference(subsumption_resolution,[],[f651,f523])). 0.15/0.42 fof(f523,plain,( 0.15/0.42 member(sK3,range_of(sK2)) | (~spl24_1 | ~spl24_35)), 0.15/0.42 inference(forward_demodulation,[],[f178,f477])). 0.15/0.42 fof(f178,plain,( 0.15/0.42 member(sK3,range(sK1,sK0,sK2)) | ~spl24_1), 0.15/0.42 inference(avatar_component_clause,[],[f176])). 0.15/0.42 fof(f651,plain,( 0.15/0.42 ~member(sK3,range_of(sK2)) | spl24_48), 0.15/0.42 inference(avatar_component_clause,[],[f650])). 0.15/0.42 fof(f653,plain,( 0.15/0.42 spl24_48 | ~spl24_27 | ~spl24_11 | ~spl24_13 | ~spl24_3), 0.15/0.42 inference(avatar_split_clause,[],[f576,f191,f285,f272,f403,f650])). 0.15/0.42 fof(f285,plain,( 0.15/0.42 spl24_13 <=> ilf_type(sK4,set_type)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_13])])). 0.15/0.42 fof(f191,plain,( 0.15/0.42 spl24_3 <=> member(ordered_pair(sK4,sK3),sK2)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_3])])). 0.15/0.42 fof(f576,plain,( 0.15/0.42 ~ilf_type(sK4,set_type) | ~ilf_type(sK3,set_type) | ~ilf_type(sK2,binary_relation_type) | member(sK3,range_of(sK2)) | ~spl24_3), 0.15/0.42 inference(resolution,[],[f193,f119])). 0.15/0.42 fof(f119,plain,( 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X2,binary_relation_type) | ~member(ordered_pair(X0,X1),X2) | member(X1,range_of(X2))) )), 0.15/0.42 inference(cnf_transformation,[],[f55])). 0.15/0.42 fof(f55,plain,( 0.15/0.42 ! [X0] : (! [X1] : (! [X2] : ((member(X1,range_of(X2)) & member(X0,domain_of(X2))) | ~member(ordered_pair(X0,X1),X2) | ~ilf_type(X2,binary_relation_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.42 inference(flattening,[],[f54])). 0.15/0.42 fof(f54,plain,( 0.15/0.42 ! [X0] : (! [X1] : (! [X2] : (((member(X1,range_of(X2)) & member(X0,domain_of(X2))) | ~member(ordered_pair(X0,X1),X2)) | ~ilf_type(X2,binary_relation_type)) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.42 inference(ennf_transformation,[],[f31])). 0.15/0.42 fof(f31,axiom,( 0.15/0.42 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,set_type) => ! [X2] : (ilf_type(X2,binary_relation_type) => (member(ordered_pair(X0,X1),X2) => (member(X1,range_of(X2)) & member(X0,domain_of(X2)))))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2)). 0.15/0.42 fof(f193,plain,( 0.15/0.42 member(ordered_pair(sK4,sK3),sK2) | ~spl24_3), 0.15/0.42 inference(avatar_component_clause,[],[f191])). 0.15/0.42 fof(f478,plain,( 0.15/0.42 spl24_35 | ~spl24_9 | ~spl24_5), 0.15/0.42 inference(avatar_split_clause,[],[f169,f204,f255,f475])). 0.15/0.42 fof(f255,plain,( 0.15/0.42 spl24_9 <=> ilf_type(sK0,set_type)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_9])])). 0.15/0.42 fof(f204,plain,( 0.15/0.42 spl24_5 <=> ilf_type(sK1,set_type)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_5])])). 0.15/0.42 fof(f169,plain,( 0.15/0.42 ~ilf_type(sK1,set_type) | ~ilf_type(sK0,set_type) | range(sK1,sK0,sK2) = range_of(sK2)), 0.15/0.42 inference(resolution,[],[f76,f124])). 0.15/0.42 fof(f124,plain,( 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X2,relation_type(X0,X1)) | range_of(X2) = range(X0,X1,X2)) )), 0.15/0.42 inference(cnf_transformation,[],[f59])). 0.15/0.42 fof(f59,plain,( 0.15/0.42 ! [X0] : (! [X1] : (! [X2] : (range_of(X2) = range(X0,X1,X2) | ~ilf_type(X2,relation_type(X0,X1))) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.42 inference(ennf_transformation,[],[f3])). 0.15/0.42 fof(f3,axiom,( 0.15/0.42 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : (ilf_type(X1,set_type) => ! [X2] : (ilf_type(X2,relation_type(X0,X1)) => range_of(X2) = range(X0,X1,X2))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29)). 0.15/0.42 fof(f76,plain,( 0.15/0.42 ilf_type(sK2,relation_type(sK1,sK0))), 0.15/0.42 inference(cnf_transformation,[],[f35])). 0.15/0.42 fof(f35,plain,( 0.15/0.42 ? [X0] : (? [X1] : (? [X2] : (? [X3] : ((member(X3,range(X1,X0,X2)) <~> ? [X4] : (ilf_type(X4,member_type(X1)) & member(ordered_pair(X4,X3),X2))) & ilf_type(X3,member_type(X0))) & ilf_type(X2,relation_type(X1,X0))) & ~empty(X1) & ilf_type(X1,set_type)) & ilf_type(X0,set_type) & ~empty(X0))), 0.15/0.42 inference(flattening,[],[f34])). 0.15/0.42 fof(f34,plain,( 0.15/0.42 ? [X0] : (? [X1] : (? [X2] : (? [X3] : ((member(X3,range(X1,X0,X2)) <~> ? [X4] : (ilf_type(X4,member_type(X1)) & member(ordered_pair(X4,X3),X2))) & ilf_type(X3,member_type(X0))) & ilf_type(X2,relation_type(X1,X0))) & (~empty(X1) & ilf_type(X1,set_type))) & (ilf_type(X0,set_type) & ~empty(X0)))), 0.15/0.42 inference(ennf_transformation,[],[f5])). 0.15/0.42 fof(f5,negated_conjecture,( 0.15/0.42 ~! [X0] : ((ilf_type(X0,set_type) & ~empty(X0)) => ! [X1] : ((~empty(X1) & ilf_type(X1,set_type)) => ! [X2] : (ilf_type(X2,relation_type(X1,X0)) => ! [X3] : (ilf_type(X3,member_type(X0)) => (member(X3,range(X1,X0,X2)) <=> ? [X4] : (ilf_type(X4,member_type(X1)) & member(ordered_pair(X4,X3),X2)))))))), 0.15/0.42 inference(negated_conjecture,[],[f4])). 0.15/0.42 fof(f4,conjecture,( 0.15/0.42 ! [X0] : ((ilf_type(X0,set_type) & ~empty(X0)) => ! [X1] : ((~empty(X1) & ilf_type(X1,set_type)) => ! [X2] : (ilf_type(X2,relation_type(X1,X0)) => ! [X3] : (ilf_type(X3,member_type(X0)) => (member(X3,range(X1,X0,X2)) <=> ? [X4] : (ilf_type(X4,member_type(X1)) & member(ordered_pair(X4,X3),X2)))))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_48)). 0.15/0.42 fof(f435,plain,( 0.15/0.42 ~spl24_5 | spl24_30), 0.15/0.42 inference(avatar_split_clause,[],[f158,f433,f204])). 0.15/0.42 fof(f158,plain,( 0.15/0.42 ( ! [X1 : $i] : (~ilf_type(X1,set_type) | ~ilf_type(sK1,set_type) | ilf_type(X1,member_type(sK1)) | ~member(X1,sK1)) )), 0.15/0.42 inference(resolution,[],[f78,f131])). 0.15/0.42 fof(f131,plain,( 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | empty(X1) | ilf_type(X0,member_type(X1)) | ~member(X0,X1)) )), 0.15/0.42 inference(cnf_transformation,[],[f66])). 0.15/0.42 fof(f66,plain,( 0.15/0.42 ! [X0] : (! [X1] : ((member(X0,X1) <=> ilf_type(X0,member_type(X1))) | empty(X1) | ~ilf_type(X1,set_type)) | ~ilf_type(X0,set_type))), 0.15/0.42 inference(flattening,[],[f65])). 0.15/0.42 fof(f65,plain,( 0.15/0.42 ! [X0] : (! [X1] : ((member(X0,X1) <=> ilf_type(X0,member_type(X1))) | (empty(X1) | ~ilf_type(X1,set_type))) | ~ilf_type(X0,set_type))), 0.15/0.42 inference(ennf_transformation,[],[f22])). 0.15/0.42 fof(f22,axiom,( 0.15/0.42 ! [X0] : (ilf_type(X0,set_type) => ! [X1] : ((~empty(X1) & ilf_type(X1,set_type)) => (member(X0,X1) <=> ilf_type(X0,member_type(X1)))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8)). 0.15/0.42 fof(f78,plain,( 0.15/0.42 ~empty(sK1)), 0.15/0.42 inference(cnf_transformation,[],[f35])). 0.15/0.42 fof(f406,plain,( 0.15/0.42 ~spl24_21 | spl24_27 | ~spl24_25), 0.15/0.42 inference(avatar_split_clause,[],[f392,f385,f403,f337])). 0.15/0.42 fof(f337,plain,( 0.15/0.42 spl24_21 <=> ilf_type(sK2,set_type)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_21])])). 0.15/0.42 fof(f385,plain,( 0.15/0.42 spl24_25 <=> relation_like(sK2)), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_25])])). 0.15/0.42 fof(f392,plain,( 0.15/0.42 ilf_type(sK2,binary_relation_type) | ~ilf_type(sK2,set_type) | ~spl24_25), 0.15/0.42 inference(resolution,[],[f387,f90])). 0.15/0.42 fof(f90,plain,( 0.15/0.42 ( ! [X0 : $i] : (ilf_type(X0,binary_relation_type) | ~relation_like(X0) | ~ilf_type(X0,set_type)) )), 0.15/0.42 inference(cnf_transformation,[],[f41])). 0.15/0.42 fof(f41,plain,( 0.15/0.42 ! [X0] : (((ilf_type(X0,set_type) & relation_like(X0)) <=> ilf_type(X0,binary_relation_type)) | ~ilf_type(X0,set_type))), 0.15/0.42 inference(ennf_transformation,[],[f1])). 0.15/0.42 fof(f1,axiom,( 0.15/0.42 ! [X0] : (ilf_type(X0,set_type) => ((ilf_type(X0,set_type) & relation_like(X0)) <=> ilf_type(X0,binary_relation_type)))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17)). 0.15/0.42 fof(f387,plain,( 0.15/0.42 relation_like(sK2) | ~spl24_25), 0.15/0.42 inference(avatar_component_clause,[],[f385])). 0.15/0.42 fof(f388,plain,( 0.15/0.42 spl24_25 | ~spl24_9 | ~spl24_5 | ~spl24_24), 0.15/0.42 inference(avatar_split_clause,[],[f381,f377,f204,f255,f385])). 0.15/0.42 fof(f377,plain,( 0.15/0.42 spl24_24 <=> ilf_type(sK2,subset_type(cross_product(sK1,sK0)))), 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl24_24])])). 0.15/0.42 fof(f381,plain,( 0.15/0.42 ~ilf_type(sK1,set_type) | ~ilf_type(sK0,set_type) | relation_like(sK2) | ~spl24_24), 0.15/0.42 inference(resolution,[],[f379,f128])). 0.15/0.42 fof(f128,plain,( 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X2,subset_type(cross_product(X0,X1))) | relation_like(X2)) )), 0.15/0.42 inference(cnf_transformation,[],[f63])). 0.15/0.42 fof(f63,plain,( 0.15/0.42 ! [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))), 0.15/0.42 inference(ennf_transformation,[],[f2])). 0.15/0.42 fof(f2,axiom,( 0.15/0.42 ! [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))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26)). 0.15/0.42 fof(f379,plain,( 0.15/0.42 ilf_type(sK2,subset_type(cross_product(sK1,sK0))) | ~spl24_24), 0.15/0.42 inference(avatar_component_clause,[],[f377])). 0.15/0.42 fof(f380,plain,( 0.15/0.42 spl24_24 | ~spl24_9 | ~spl24_5), 0.15/0.42 inference(avatar_split_clause,[],[f168,f204,f255,f377])). 0.15/0.42 fof(f168,plain,( 0.15/0.42 ~ilf_type(sK1,set_type) | ~ilf_type(sK0,set_type) | ilf_type(sK2,subset_type(cross_product(sK1,sK0)))), 0.15/0.42 inference(resolution,[],[f76,f106])). 0.15/0.42 fof(f106,plain,( 0.15/0.42 ( ! [X0 : $i,X3 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X3,relation_type(X0,X1)) | ilf_type(X3,subset_type(cross_product(X0,X1)))) )), 0.15/0.42 inference(cnf_transformation,[],[f49])). 0.15/0.42 fof(f49,plain,( 0.15/0.42 ! [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))), 0.15/0.42 inference(ennf_transformation,[],[f30])). 0.15/0.42 fof(f30,axiom,( 0.15/0.42 ! [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)))))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6)). 0.15/0.42 fof(f347,plain,( 0.15/0.42 spl24_21), 0.15/0.42 inference(avatar_contradiction_clause,[],[f346])). 0.15/0.42 fof(f346,plain,( 0.15/0.42 $false | spl24_21), 0.15/0.42 inference(resolution,[],[f339,f81])). 0.15/0.42 fof(f339,plain,( 0.15/0.42 ~ilf_type(sK2,set_type) | spl24_21), 0.15/0.42 inference(avatar_component_clause,[],[f337])). 0.15/0.42 fof(f320,plain,( 0.15/0.42 ~spl24_17 | ~spl24_9 | ~spl24_5), 0.15/0.42 inference(avatar_split_clause,[],[f173,f204,f255,f317])). 0.15/0.42 fof(f173,plain,( 0.15/0.42 ~ilf_type(sK1,set_type) | ~ilf_type(sK0,set_type) | ~sP21(sK2,sK1)), 0.15/0.42 inference(resolution,[],[f76,f151])). 0.15/0.42 fof(f151,plain,( 0.15/0.42 ( ! [X4 : $i,X0 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X4,relation_type(X0,X1)) | ~sP21(X4,X0)) )), 0.15/0.42 inference(general_splitting,[],[f149,f150_D])). 0.15/0.42 fof(f149,plain,( 0.15/0.42 ( ! [X4 : $i,X2 : $i,X0 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X2,set_type) | ~ilf_type(X4,relation_type(X0,X1)) | member(X2,X0) | ~sP20(X4,X2)) )), 0.15/0.42 inference(general_splitting,[],[f123,f148_D])). 0.15/0.42 fof(f123,plain,( 0.15/0.42 ( ! [X4 : $i,X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (~ilf_type(X0,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X2,set_type) | ~ilf_type(X3,set_type) | ~ilf_type(X4,relation_type(X0,X1)) | ~member(ordered_pair(X2,X3),X4) | member(X2,X0)) )), 0.15/0.42 inference(cnf_transformation,[],[f58])). 0.15/0.42 fof(f58,plain,( 0.15/0.42 ! [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))), 0.15/0.42 inference(flattening,[],[f57])). 0.15/0.42 fof(f57,plain,( 0.15/0.42 ! [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))), 0.15/0.42 inference(ennf_transformation,[],[f11])). 0.15/0.42 fof(f11,axiom,( 0.15/0.42 ! [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))))))))), 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3)). 0.15/0.42 fof(f291,plain,( 0.15/0.42 spl24_13), 0.15/0.42 inference(avatar_contradiction_clause,[],[f290])). 0.15/0.42 fof(f290,plain,( 0.15/0.42 $false | spl24_13), 0.15/0.42 inference(resolution,[],[f287,f81])). 0.15/0.42 fof(f287,plain,( 0.15/0.42 ~ilf_type(sK4,set_type) | spl24_13), 0.15/0.42 inference(avatar_component_clause,[],[f285])). 0.15/0.42 fof(f278,plain,( 0.15/0.42 spl24_11), 0.15/0.42 inference(avatar_contradiction_clause,[],[f277])). 0.15/0.42 fof(f277,plain,( 0.15/0.42 $false | spl24_11), 0.15/0.42 inference(resolution,[],[f274,f81])). 0.15/0.42 fof(f274,plain,( 0.15/0.42 ~ilf_type(sK3,set_type) | spl24_11), 0.15/0.42 inference(avatar_component_clause,[],[f272])). 0.15/0.42 fof(f260,plain,( 0.15/0.42 spl24_9), 0.15/0.42 inference(avatar_contradiction_clause,[],[f259])). 0.15/0.42 fof(f259,plain,( 0.15/0.42 $false | spl24_9), 0.15/0.42 inference(resolution,[],[f257,f81])). 0.15/0.42 fof(f257,plain,( 0.15/0.42 ~ilf_type(sK0,set_type) | spl24_9), 0.15/0.42 inference(avatar_component_clause,[],[f255])). 0.15/0.42 fof(f233,plain,( 0.15/0.42 ~spl24_1 | spl24_7), 0.15/0.42 inference(avatar_split_clause,[],[f72,f231,f176])). 0.15/0.42 fof(f72,plain,( 0.15/0.42 ( ! [X4 : $i] : (~member(ordered_pair(X4,sK3),sK2) | ~ilf_type(X4,member_type(sK1)) | ~member(sK3,range(sK1,sK0,sK2))) )), 0.15/0.42 inference(cnf_transformation,[],[f35])). 0.15/0.42 fof(f210,plain,( 0.15/0.42 spl24_5), 0.15/0.42 inference(avatar_contradiction_clause,[],[f209])). 0.15/0.42 fof(f209,plain,( 0.15/0.42 $false | spl24_5), 0.15/0.42 inference(resolution,[],[f206,f81])). 0.15/0.42 fof(f206,plain,( 0.15/0.42 ~ilf_type(sK1,set_type) | spl24_5), 0.15/0.42 inference(avatar_component_clause,[],[f204])). 0.15/0.42 fof(f194,plain,( 0.15/0.42 spl24_1 | spl24_3), 0.15/0.42 inference(avatar_split_clause,[],[f73,f191,f176])). 0.15/0.42 fof(f73,plain,( 0.15/0.42 member(ordered_pair(sK4,sK3),sK2) | member(sK3,range(sK1,sK0,sK2))), 0.15/0.42 inference(cnf_transformation,[],[f35])). 0.15/0.42 % SZS output end Proof for theBenchmark 0.15/0.42 % (20182)------------------------------ 0.15/0.42 % (20182)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.15/0.42 % (20182)Termination reason: Refutation 0.15/0.42 0.15/0.42 % (20182)Memory used [KB]: 11513 0.15/0.42 % (20182)Time elapsed: 0.067 s 0.15/0.42 % (20182)------------------------------ 0.15/0.42 % (20182)------------------------------ 0.15/0.42 % (20161)Success in time 0.093 s 0.15/0.42 EOF