0.01/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : run_vampire %s %d 0.12/0.33 Computer : n027.cluster.edu 0.12/0.33 Model : x86_64 x86_64 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 RAMPerCPU : 8042.1875MB 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 05:19:36 EDT 2022 0.12/0.33 % CPUTime : 0.12/0.34 This is a FOF_ problem 0.19/0.34 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.34 Running in auto input_syntax mode. Trying TPTP 0.19/0.38 % (13528)lrs+11_128_av=off:bsr=on:cond=on:gs=on:lcm=reverse:lma=on:nm=32:nwc=1:stl=30:sd=5:ss=axioms:st=3.0:thsq=on_1 on theBenchmark 0.19/0.39 % (13551)WARNING: value z3 for option sas not known 0.19/0.39 % (13524)WARNING: value z3 for option sas not known 0.19/0.39 % (13530)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_3 on theBenchmark 0.19/0.39 % (13535)lrs+1011_7_add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark 0.19/0.39 % (13526)dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off:thsq=on_39 on theBenchmark 0.19/0.39 % (13527)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off:thsq=on_10 on theBenchmark 0.19/0.39 % (13524)lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off:thsq=on_2 on theBenchmark 0.19/0.40 % (13537)WARNING: value z3 for option sas not known 0.19/0.40 % (13545)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off:thsq=on_8 on theBenchmark 0.19/0.40 % (13537)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark 0.19/0.40 % (13525)dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on:thsq=on_6 on theBenchmark 0.19/0.40 % (13523)lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all:thsq=on_2 on theBenchmark 0.19/0.41 % (13529)WARNING: value z3 for option sas not known 0.19/0.41 % (13543)lrs+1011_5:4_acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off:thsq=on_126 on theBenchmark 0.19/0.41 % (13525)Refutation not found, incomplete strategy% (13525)------------------------------ 0.19/0.41 % (13525)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.41 % (13525)Termination reason: Refutation not found, incomplete strategy 0.19/0.41 0.19/0.41 % (13525)Memory used [KB]: 11257 0.19/0.41 % (13525)Time elapsed: 0.039 s 0.19/0.41 % (13525)------------------------------ 0.19/0.41 % (13525)------------------------------ 0.19/0.41 % (13551)lrs+11_4:1_aac=none:add=large:afr=on:afp=10000:afq=1.0:amm=sco:anc=none:cond=on:er=filter:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off:thsq=on_3 on theBenchmark 0.19/0.41 % (13529)ott+11_16_av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity:thsq=on_14 on theBenchmark 0.19/0.41 % (13549)lrs+1011_8:1_afr=on:afp=1000:afq=2.0:br=off:gsp=input_only:gs=on:nm=16:nwc=1:stl=30:sos=all:sp=occurrence:urr=on:thsq=on_8 on theBenchmark 0.19/0.41 % (13545)Refutation not found, incomplete strategy% (13545)------------------------------ 0.19/0.41 % (13545)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.41 % (13545)Termination reason: Refutation not found, incomplete strategy 0.19/0.41 0.19/0.41 % (13545)Memory used [KB]: 11257 0.19/0.42 % (13545)Time elapsed: 0.041 s 0.19/0.42 % (13545)------------------------------ 0.19/0.42 % (13545)------------------------------ 0.19/0.42 % (13552)dis+1010_3:2_av=off:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 0.19/0.42 % (13540)ott+11_4_afp=100000:afq=1.2:amm=sco:anc=none:cond=fast:ep=R:fde=none:gs=on:gsaa=from_current:gsem=off:lma=on:nm=16:nwc=1:sd=3:ss=axioms:updr=off:thsq=on_2 on theBenchmark 0.19/0.42 % (13550)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_10 on theBenchmark 0.20/0.42 % (13544)dis+1011_10_av=off:cond=on:lma=on:nm=0:newcnf=on:nwc=1:sos=on:sp=occurrence:updr=off:thsq=on_4 on theBenchmark 0.20/0.42 % (13541)WARNING: value z3 for option sas not known 0.20/0.42 % (13546)ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off:thsq=on_197 on theBenchmark 0.20/0.42 % (13532)lrs+11_1_add=large:afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:gs=on:gsem=on:irw=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sd=3:ss=axioms:sos=all:urr=on:thsq=on_34 on theBenchmark 0.20/0.42 % (13542)lrs+1011_10_aac=none:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30:thsq=on_19 on theBenchmark 0.20/0.43 % (13541)ott+1002_8:1_add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off:thsq=on_14 on theBenchmark 0.20/0.43 % (13548)dis+1_3:2_acc=on:add=off:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:ccuc=small_ones:cond=on:lma=on:nm=64:nwc=1.3:sos=all:urr=on:thsq=on_111 on theBenchmark 0.20/0.43 % (13534)lrs-3_4:1_afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on:thsq=on_11 on theBenchmark 0.20/0.43 % (13536)lrs+10_4:1_add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only:thsq=on_22 on theBenchmark 0.20/0.43 % (13533)lrs+1003_3_awrs=decay:awrsf=4:add=large:afr=on:afp=100000:afq=2.0:amm=sco:bd=off:cond=fast:fsr=off:fde=unused:gs=on:gsem=on:nm=6:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sos=on:sac=on:sp=frequency:urr=on:updr=off:thsq=on_2 on theBenchmark 0.20/0.43 % (13538)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off:thsq=on_9 on theBenchmark 0.20/0.44 % (13539)dis+1_2:3_acc=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark 0.20/0.44 % (13533)First to succeed. 0.20/0.45 % (13531)ott+2_2_afp=10000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity:thsq=on_18 on theBenchmark 0.20/0.46 % (13547)lrs+1010_3_av=off:fsr=off:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark 0.20/0.47 % (13533)Refutation found. Thanks to Tanya! 0.20/0.47 % SZS status Theorem for theBenchmark 0.20/0.47 % SZS output start Proof for theBenchmark 0.20/0.47 fof(f199,plain,( 0.20/0.47 $false), 0.20/0.47 inference(global_subsumption,[],[f154,f197])). 0.20/0.47 fof(f197,plain,( 0.20/0.47 ~in(ordered_pair(sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),sK11(sK1,sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))))),sK1)), 0.20/0.47 inference(unit_resulting_resolution,[],[f82,f144,f184,f120])). 0.20/0.47 fof(f120,plain,( 0.20/0.47 ( ! [X6 : $i,X0 : $i,X8 : $i,X1 : $i] : (~relation(X0) | ~in(ordered_pair(X8,X6),X0) | ~in(X8,X1) | in(X6,relation_image(X0,X1))) )), 0.20/0.47 inference(equality_resolution,[],[f91])). 0.20/0.47 fof(f91,plain,( 0.20/0.47 ( ! [X6 : $i,X2 : $i,X0 : $i,X8 : $i,X1 : $i] : (in(X6,X2) | ~in(ordered_pair(X8,X6),X0) | ~in(X8,X1) | relation_image(X0,X1) != X2 | ~relation(X0)) )), 0.20/0.47 inference(cnf_transformation,[],[f66])). 0.20/0.47 fof(f66,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : ((relation_image(X0,X1) = X2 | ((~in(sK5(X0,X1,X2),X2) | ! [X4] : (~in(ordered_pair(X4,sK5(X0,X1,X2)),X0) | ~in(X4,X1))) & (in(sK5(X0,X1,X2),X2) | (in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X0) & in(sK6(X0,X1,X2),X1))))) & (! [X6] : (((in(ordered_pair(sK7(X0,X1,X6),X6),X0) & in(sK7(X0,X1,X6),X1)) | ~in(X6,X2)) & (in(X6,X2) | ! [X8] : (~in(ordered_pair(X8,X6),X0) | ~in(X8,X1)))) | relation_image(X0,X1) != X2)) | ~relation(X0))), 0.20/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f62,f65,f64,f63])). 0.20/0.47 fof(f63,plain,( 0.20/0.47 ! [X0,X1,X2] : (? [X3] : ((~in(X3,X2) | ! [X4] : (~in(ordered_pair(X4,X3),X0) | ~in(X4,X1))) & (in(X3,X2) | ? [X5] : (in(ordered_pair(X5,X3),X0) & in(X5,X1)))) => ((~in(sK5(X0,X1,X2),X2) | ! [X4] : (~in(ordered_pair(X4,sK5(X0,X1,X2)),X0) | ~in(X4,X1))) & (in(sK5(X0,X1,X2),X2) | ? [X5] : (in(ordered_pair(X5,sK5(X0,X1,X2)),X0) & in(X5,X1)))))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f64,plain,( 0.20/0.47 ! [X0,X1,X2] : (? [X5] : (in(ordered_pair(X5,sK5(X0,X1,X2)),X0) & in(X5,X1)) => (in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X0) & in(sK6(X0,X1,X2),X1)))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f65,plain,( 0.20/0.47 ! [X0,X1,X6] : (? [X7] : (in(ordered_pair(X7,X6),X0) & in(X7,X1)) => (in(ordered_pair(sK7(X0,X1,X6),X6),X0) & in(sK7(X0,X1,X6),X1)))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f62,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : ((relation_image(X0,X1) = X2 | ? [X3] : ((~in(X3,X2) | ! [X4] : (~in(ordered_pair(X4,X3),X0) | ~in(X4,X1))) & (in(X3,X2) | ? [X5] : (in(ordered_pair(X5,X3),X0) & in(X5,X1))))) & (! [X6] : ((? [X7] : (in(ordered_pair(X7,X6),X0) & in(X7,X1)) | ~in(X6,X2)) & (in(X6,X2) | ! [X8] : (~in(ordered_pair(X8,X6),X0) | ~in(X8,X1)))) | relation_image(X0,X1) != X2)) | ~relation(X0))), 0.20/0.47 inference(rectify,[],[f61])). 0.20/0.47 fof(f61,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : ((relation_image(X0,X1) = X2 | ? [X3] : ((~in(X3,X2) | ! [X4] : (~in(ordered_pair(X4,X3),X0) | ~in(X4,X1))) & (in(X3,X2) | ? [X4] : (in(ordered_pair(X4,X3),X0) & in(X4,X1))))) & (! [X3] : ((? [X4] : (in(ordered_pair(X4,X3),X0) & in(X4,X1)) | ~in(X3,X2)) & (in(X3,X2) | ! [X4] : (~in(ordered_pair(X4,X3),X0) | ~in(X4,X1)))) | relation_image(X0,X1) != X2)) | ~relation(X0))), 0.20/0.47 inference(nnf_transformation,[],[f46])). 0.20/0.47 fof(f46,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : (relation_image(X0,X1) = X2 <=> ! [X3] : (? [X4] : (in(ordered_pair(X4,X3),X0) & in(X4,X1)) <=> in(X3,X2))) | ~relation(X0))), 0.20/0.47 inference(ennf_transformation,[],[f28])). 0.20/0.47 fof(f28,axiom,( 0.20/0.47 ! [X0] : (relation(X0) => ! [X1,X2] : (relation_image(X0,X1) = X2 <=> ! [X3] : (? [X4] : (in(ordered_pair(X4,X3),X0) & in(X4,X1)) <=> in(X3,X2))))), 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1)). 0.20/0.47 fof(f184,plain,( 0.20/0.47 ~in(sK11(sK1,sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0)))),relation_image(sK1,sK0))), 0.20/0.47 inference(unit_resulting_resolution,[],[f145,f150,f158])). 0.20/0.47 fof(f158,plain,( 0.20/0.47 ( ! [X0 : $i,X1 : $i] : (~in(X0,relation_dom(sK1)) | in(X0,relation_inverse_image(sK1,X1)) | ~in(sK11(sK1,X0),X1)) )), 0.20/0.47 inference(resolution,[],[f131,f137])). 0.20/0.47 fof(f137,plain,( 0.20/0.47 ( ! [X31 : $i] : (in(ordered_pair(X31,sK11(sK1,X31)),sK1) | ~in(X31,relation_dom(sK1))) )), 0.20/0.47 inference(resolution,[],[f82,f121])). 0.20/0.47 fof(f121,plain,( 0.20/0.47 ( ! [X0 : $i,X5 : $i] : (~relation(X0) | ~in(X5,relation_dom(X0)) | in(ordered_pair(X5,sK11(X0,X5)),X0)) )), 0.20/0.47 inference(equality_resolution,[],[f105])). 0.20/0.47 fof(f105,plain,( 0.20/0.47 ( ! [X0 : $i,X5 : $i,X1 : $i] : (in(ordered_pair(X5,sK11(X0,X5)),X0) | ~in(X5,X1) | relation_dom(X0) != X1 | ~relation(X0)) )), 0.20/0.47 inference(cnf_transformation,[],[f77])). 0.20/0.47 fof(f77,plain,( 0.20/0.47 ! [X0] : (! [X1] : ((relation_dom(X0) = X1 | ((~in(sK9(X0,X1),X1) | ! [X3] : ~in(ordered_pair(sK9(X0,X1),X3),X0)) & (in(sK9(X0,X1),X1) | in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0)))) & (! [X5] : ((in(ordered_pair(X5,sK11(X0,X5)),X0) | ~in(X5,X1)) & (in(X5,X1) | ! [X7] : ~in(ordered_pair(X5,X7),X0))) | relation_dom(X0) != X1)) | ~relation(X0))), 0.20/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f73,f76,f75,f74])). 0.20/0.47 fof(f74,plain,( 0.20/0.47 ! [X0,X1] : (? [X2] : ((~in(X2,X1) | ! [X3] : ~in(ordered_pair(X2,X3),X0)) & (in(X2,X1) | ? [X4] : in(ordered_pair(X2,X4),X0))) => ((~in(sK9(X0,X1),X1) | ! [X3] : ~in(ordered_pair(sK9(X0,X1),X3),X0)) & (in(sK9(X0,X1),X1) | ? [X4] : in(ordered_pair(sK9(X0,X1),X4),X0))))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f75,plain,( 0.20/0.47 ! [X0,X1] : (? [X4] : in(ordered_pair(sK9(X0,X1),X4),X0) => in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f76,plain,( 0.20/0.47 ! [X0,X5] : (? [X6] : in(ordered_pair(X5,X6),X0) => in(ordered_pair(X5,sK11(X0,X5)),X0))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f73,plain,( 0.20/0.47 ! [X0] : (! [X1] : ((relation_dom(X0) = X1 | ? [X2] : ((~in(X2,X1) | ! [X3] : ~in(ordered_pair(X2,X3),X0)) & (in(X2,X1) | ? [X4] : in(ordered_pair(X2,X4),X0)))) & (! [X5] : ((? [X6] : in(ordered_pair(X5,X6),X0) | ~in(X5,X1)) & (in(X5,X1) | ! [X7] : ~in(ordered_pair(X5,X7),X0))) | relation_dom(X0) != X1)) | ~relation(X0))), 0.20/0.47 inference(rectify,[],[f72])). 0.20/0.47 fof(f72,plain,( 0.20/0.47 ! [X0] : (! [X1] : ((relation_dom(X0) = X1 | ? [X2] : ((~in(X2,X1) | ! [X3] : ~in(ordered_pair(X2,X3),X0)) & (in(X2,X1) | ? [X3] : in(ordered_pair(X2,X3),X0)))) & (! [X2] : ((? [X3] : in(ordered_pair(X2,X3),X0) | ~in(X2,X1)) & (in(X2,X1) | ! [X3] : ~in(ordered_pair(X2,X3),X0))) | relation_dom(X0) != X1)) | ~relation(X0))), 0.20/0.47 inference(nnf_transformation,[],[f50])). 0.20/0.47 fof(f50,plain,( 0.20/0.47 ! [X0] : (! [X1] : (relation_dom(X0) = X1 <=> ! [X2] : (? [X3] : in(ordered_pair(X2,X3),X0) <=> in(X2,X1))) | ~relation(X0))), 0.20/0.47 inference(ennf_transformation,[],[f32])). 0.20/0.47 fof(f32,axiom,( 0.20/0.47 ! [X0] : (relation(X0) => ! [X1] : (relation_dom(X0) = X1 <=> ! [X2] : (? [X3] : in(ordered_pair(X2,X3),X0) <=> in(X2,X1))))), 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1)). 0.20/0.47 fof(f131,plain,( 0.20/0.47 ( ! [X19 : $i,X17 : $i,X18 : $i] : (~in(ordered_pair(X19,X17),sK1) | ~in(X17,X18) | in(X19,relation_inverse_image(sK1,X18))) )), 0.20/0.47 inference(resolution,[],[f82,f115])). 0.20/0.47 fof(f115,plain,( 0.20/0.47 ( ! [X4 : $i,X0 : $i,X3 : $i,X1 : $i] : (~relation(X0) | ~in(X4,X1) | ~in(ordered_pair(X3,X4),X0) | in(X3,relation_inverse_image(X0,X1))) )), 0.20/0.47 inference(equality_resolution,[],[f90])). 0.20/0.47 fof(f90,plain,( 0.20/0.47 ( ! [X4 : $i,X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (in(X3,X2) | ~in(X4,X1) | ~in(ordered_pair(X3,X4),X0) | relation_inverse_image(X0,X1) != X2 | ~relation(X0)) )), 0.20/0.47 inference(cnf_transformation,[],[f60])). 0.20/0.47 fof(f60,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : ((! [X3] : ((in(X3,X2) | ! [X4] : (~in(X4,X1) | ~in(ordered_pair(X3,X4),X0))) & ((in(sK2(X0,X1,X3),X1) & in(ordered_pair(X3,sK2(X0,X1,X3)),X0)) | ~in(X3,X2))) | relation_inverse_image(X0,X1) != X2) & (relation_inverse_image(X0,X1) = X2 | ((! [X7] : (~in(X7,X1) | ~in(ordered_pair(sK3(X0,X1,X2),X7),X0)) | ~in(sK3(X0,X1,X2),X2)) & ((in(sK4(X0,X1,X2),X1) & in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)) | in(sK3(X0,X1,X2),X2))))) | ~relation(X0))), 0.20/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f56,f59,f58,f57])). 0.20/0.47 fof(f57,plain,( 0.20/0.47 ! [X0,X1,X3] : (? [X5] : (in(X5,X1) & in(ordered_pair(X3,X5),X0)) => (in(sK2(X0,X1,X3),X1) & in(ordered_pair(X3,sK2(X0,X1,X3)),X0)))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f58,plain,( 0.20/0.47 ! [X0,X1,X2] : (? [X6] : ((! [X7] : (~in(X7,X1) | ~in(ordered_pair(X6,X7),X0)) | ~in(X6,X2)) & (? [X8] : (in(X8,X1) & in(ordered_pair(X6,X8),X0)) | in(X6,X2))) => ((! [X7] : (~in(X7,X1) | ~in(ordered_pair(sK3(X0,X1,X2),X7),X0)) | ~in(sK3(X0,X1,X2),X2)) & (? [X8] : (in(X8,X1) & in(ordered_pair(sK3(X0,X1,X2),X8),X0)) | in(sK3(X0,X1,X2),X2))))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f59,plain,( 0.20/0.47 ! [X0,X1,X2] : (? [X8] : (in(X8,X1) & in(ordered_pair(sK3(X0,X1,X2),X8),X0)) => (in(sK4(X0,X1,X2),X1) & in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f56,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : ((! [X3] : ((in(X3,X2) | ! [X4] : (~in(X4,X1) | ~in(ordered_pair(X3,X4),X0))) & (? [X5] : (in(X5,X1) & in(ordered_pair(X3,X5),X0)) | ~in(X3,X2))) | relation_inverse_image(X0,X1) != X2) & (relation_inverse_image(X0,X1) = X2 | ? [X6] : ((! [X7] : (~in(X7,X1) | ~in(ordered_pair(X6,X7),X0)) | ~in(X6,X2)) & (? [X8] : (in(X8,X1) & in(ordered_pair(X6,X8),X0)) | in(X6,X2))))) | ~relation(X0))), 0.20/0.47 inference(rectify,[],[f55])). 0.20/0.47 fof(f55,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : ((! [X3] : ((in(X3,X2) | ! [X4] : (~in(X4,X1) | ~in(ordered_pair(X3,X4),X0))) & (? [X4] : (in(X4,X1) & in(ordered_pair(X3,X4),X0)) | ~in(X3,X2))) | relation_inverse_image(X0,X1) != X2) & (relation_inverse_image(X0,X1) = X2 | ? [X3] : ((! [X4] : (~in(X4,X1) | ~in(ordered_pair(X3,X4),X0)) | ~in(X3,X2)) & (? [X4] : (in(X4,X1) & in(ordered_pair(X3,X4),X0)) | in(X3,X2))))) | ~relation(X0))), 0.20/0.47 inference(nnf_transformation,[],[f45])). 0.20/0.47 fof(f45,plain,( 0.20/0.47 ! [X0] : (! [X1,X2] : (! [X3] : (in(X3,X2) <=> ? [X4] : (in(X4,X1) & in(ordered_pair(X3,X4),X0))) <=> relation_inverse_image(X0,X1) = X2) | ~relation(X0))), 0.20/0.47 inference(ennf_transformation,[],[f1])). 0.20/0.47 fof(f1,axiom,( 0.20/0.47 ! [X0] : (relation(X0) => ! [X1,X2] : (! [X3] : (in(X3,X2) <=> ? [X4] : (in(X4,X1) & in(ordered_pair(X3,X4),X0))) <=> relation_inverse_image(X0,X1) = X2))), 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1)). 0.20/0.47 fof(f150,plain,( 0.20/0.47 in(sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),relation_dom(sK1))), 0.20/0.47 inference(unit_resulting_resolution,[],[f83,f144,f97])). 0.20/0.47 fof(f97,plain,( 0.20/0.47 ( ! [X0 : $i,X3 : $i,X1 : $i] : (~subset(X0,X1) | ~in(X3,X0) | in(X3,X1)) )), 0.20/0.47 inference(cnf_transformation,[],[f70])). 0.20/0.47 fof(f70,plain,( 0.20/0.47 ! [X0,X1] : ((subset(X0,X1) | (~in(sK8(X0,X1),X1) & in(sK8(X0,X1),X0))) & (! [X3] : (in(X3,X1) | ~in(X3,X0)) | ~subset(X0,X1)))), 0.20/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f68,f69])). 0.20/0.47 fof(f69,plain,( 0.20/0.47 ! [X0,X1] : (? [X2] : (~in(X2,X1) & in(X2,X0)) => (~in(sK8(X0,X1),X1) & in(sK8(X0,X1),X0)))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f68,plain,( 0.20/0.47 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~in(X2,X1) & in(X2,X0))) & (! [X3] : (in(X3,X1) | ~in(X3,X0)) | ~subset(X0,X1)))), 0.20/0.47 inference(rectify,[],[f67])). 0.20/0.47 fof(f67,plain,( 0.20/0.47 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~in(X2,X1) & in(X2,X0))) & (! [X2] : (in(X2,X1) | ~in(X2,X0)) | ~subset(X0,X1)))), 0.20/0.47 inference(nnf_transformation,[],[f47])). 0.20/0.47 fof(f47,plain,( 0.20/0.47 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (in(X2,X1) | ~in(X2,X0)))), 0.20/0.47 inference(ennf_transformation,[],[f9])). 0.20/0.47 fof(f9,axiom,( 0.20/0.47 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (in(X2,X0) => in(X2,X1)))), 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski)). 0.20/0.47 fof(f83,plain,( 0.20/0.47 subset(sK0,relation_dom(sK1))), 0.20/0.47 inference(cnf_transformation,[],[f54])). 0.20/0.47 fof(f54,plain,( 0.20/0.47 ~subset(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))) & subset(sK0,relation_dom(sK1)) & relation(sK1)), 0.20/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f44,f53])). 0.20/0.47 fof(f53,plain,( 0.20/0.47 ? [X0,X1] : (~subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) & subset(X0,relation_dom(X1)) & relation(X1)) => (~subset(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))) & subset(sK0,relation_dom(sK1)) & relation(sK1))), 0.20/0.47 introduced(choice_axiom,[])). 0.20/0.47 fof(f44,plain,( 0.20/0.47 ? [X0,X1] : (~subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) & subset(X0,relation_dom(X1)) & relation(X1))), 0.20/0.47 inference(flattening,[],[f43])). 0.20/0.47 fof(f43,plain,( 0.20/0.47 ? [X0,X1] : ((~subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) & subset(X0,relation_dom(X1))) & relation(X1))), 0.20/0.47 inference(ennf_transformation,[],[f37])). 0.20/0.47 fof(f37,negated_conjecture,( 0.20/0.47 ~! [X0,X1] : (relation(X1) => (subset(X0,relation_dom(X1)) => subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))))), 0.20/0.47 inference(negated_conjecture,[],[f36])). 0.20/0.47 fof(f36,conjecture,( 0.20/0.47 ! [X0,X1] : (relation(X1) => (subset(X0,relation_dom(X1)) => subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))))), 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_funct_1)). 0.20/0.47 fof(f145,plain,( 0.20/0.47 ~in(sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),relation_inverse_image(sK1,relation_image(sK1,sK0)))), 0.20/0.47 inference(unit_resulting_resolution,[],[f84,f99])). 0.20/0.47 fof(f99,plain,( 0.20/0.47 ( ! [X0 : $i,X1 : $i] : (~in(sK8(X0,X1),X1) | subset(X0,X1)) )), 0.20/0.47 inference(cnf_transformation,[],[f70])). 0.20/0.47 fof(f84,plain,( 0.20/0.47 ~subset(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0)))), 0.20/0.47 inference(cnf_transformation,[],[f54])). 0.20/0.47 fof(f144,plain,( 0.20/0.47 in(sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),sK0)), 0.20/0.47 inference(unit_resulting_resolution,[],[f84,f98])). 0.20/0.47 fof(f98,plain,( 0.20/0.47 ( ! [X0 : $i,X1 : $i] : (in(sK8(X0,X1),X0) | subset(X0,X1)) )), 0.20/0.47 inference(cnf_transformation,[],[f70])). 0.20/0.47 fof(f82,plain,( 0.20/0.47 relation(sK1)), 0.20/0.47 inference(cnf_transformation,[],[f54])). 0.20/0.47 fof(f154,plain,( 0.20/0.47 in(ordered_pair(sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),sK11(sK1,sK8(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))))),sK1)), 0.20/0.47 inference(unit_resulting_resolution,[],[f82,f150,f121])). 0.20/0.47 % SZS output end Proof for theBenchmark 0.20/0.47 % (13533)------------------------------ 0.20/0.47 % (13533)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.20/0.47 % (13533)Termination reason: Refutation 0.20/0.47 0.20/0.47 % (13533)Memory used [KB]: 11257 0.20/0.47 % (13533)Time elapsed: 0.085 s 0.20/0.47 % (13533)------------------------------ 0.20/0.47 % (13533)------------------------------ 0.20/0.47 % (13522)Success in time 0.122 s 0.20/0.47 EOF