0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.24 % Computer : n022.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:18:25 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.56 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.07/0.56 % remaining time: 5996 next slice time: 4 0.07/0.60 dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_2 on theBenchmark 0.42/1.10 % (11439)Time limit reached! 0.42/1.10 % ------------------------------ 0.42/1.10 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.42/1.10 % Termination reason: Time limit 0.42/1.10 % Termination phase: Saturation 0.42/1.10 0.42/1.10 % Memory used [KB]: 32622 0.42/1.10 % Time elapsed: 0.500 s 0.42/1.10 % ------------------------------ 0.42/1.10 % ------------------------------ 0.42/1.10 % remaining time: 5991 next slice time: 4 0.42/1.10 lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity_2 on theBenchmark 1.32/1.60 % (11440)Time limit reached! 1.32/1.60 % ------------------------------ 1.32/1.60 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.32/1.60 % Termination reason: Time limit 1.32/1.60 % Termination phase: Saturation 1.32/1.60 1.32/1.60 % Memory used [KB]: 27504 1.32/1.60 % Time elapsed: 0.500 s 1.32/1.60 % ------------------------------ 1.32/1.60 % ------------------------------ 1.32/1.60 % remaining time: 5986 next slice time: 10 1.32/1.61 dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_9 on theBenchmark 2.49/2.71 % (11441)Time limit reached! 2.49/2.71 % ------------------------------ 2.49/2.71 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.49/2.71 % Termination reason: Time limit 2.49/2.71 % Termination phase: Saturation 2.49/2.71 2.49/2.71 % Memory used [KB]: 50916 2.49/2.71 % Time elapsed: 1.100 s 2.49/2.71 % ------------------------------ 2.49/2.71 % ------------------------------ 2.49/2.71 % remaining time: 5975 next slice time: 4 2.49/2.71 dis+11_2_add=large:afr=on:anc=none:gs=on:gsem=on:lwlo=on:nm=16:nwc=1:sd=1:ss=axioms:st=3.0:sos=on_2 on theBenchmark 3.02/3.21 % (11442)Time limit reached! 3.02/3.21 % ------------------------------ 3.02/3.21 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.02/3.21 % Termination reason: Time limit 3.02/3.21 % Termination phase: Saturation 3.02/3.21 3.02/3.21 % Memory used [KB]: 28144 3.02/3.21 % Time elapsed: 0.500 s 3.02/3.21 % ------------------------------ 3.02/3.21 % ------------------------------ 3.02/3.21 % remaining time: 5970 next slice time: 6 3.02/3.22 dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 3.71/3.91 % (11443)Time limit reached! 3.71/3.91 % ------------------------------ 3.71/3.91 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.71/3.91 % Termination reason: Time limit 3.71/3.91 % Termination phase: Saturation 3.71/3.91 3.71/3.91 % Memory used [KB]: 27249 3.71/3.91 % Time elapsed: 0.700 s 3.71/3.91 % ------------------------------ 3.71/3.91 % ------------------------------ 3.71/3.92 % remaining time: 5963 next slice time: 35 3.71/3.92 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_33 on theBenchmark 7.33/7.52 % (11444)Time limit reached! 7.33/7.52 % ------------------------------ 7.33/7.52 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.33/7.52 % Termination reason: Time limit 7.33/7.52 % Termination phase: Saturation 7.33/7.52 7.33/7.52 % Memory used [KB]: 106309 7.33/7.52 % Time elapsed: 3.600 s 7.33/7.52 % ------------------------------ 7.33/7.52 % ------------------------------ 7.33/7.53 % remaining time: 5927 next slice time: 94 7.33/7.53 dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on_89 on theBenchmark 11.46/11.63 % Refutation found. Thanks to Tanya! 11.46/11.63 % SZS status Theorem for theBenchmark 11.46/11.63 % SZS output start Proof for theBenchmark 11.46/11.63 fof(f1380,axiom,( 11.46/11.63 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 11.46/11.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_infinite__UNIV__int)). 11.46/11.63 fof(f1516,axiom,( 11.46/11.63 class_Finite__Set_Ofinite(tc_HOL_Obool)), 11.46/11.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Finite__Set_Ofinite)). 11.46/11.63 fof(f2622,axiom,( 11.46/11.63 ! [X31,X36,X37,X13] : (! [X14] : (hBOOL(hAPP(hAPP(c_member(X13),X14),X31)) => ! [X22] : (hBOOL(hAPP(hAPP(c_member(X13),X22),X31)) => (hAPP(X36,X14) = hAPP(X36,X22) => X14 = X22))) <=> c_Fun_Oinj__on(X13,X37,X36,X31))), 11.46/11.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_inj__on__def)). 11.46/11.63 fof(f3411,axiom,( 11.46/11.63 ! [X31,X13] : (class_Finite__Set_Ofinite(X13) => hBOOL(hAPP(c_Finite__Set_Ofinite(X13),X31)))), 11.46/11.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__code)). 11.46/11.63 fof(f4998,axiom,( 11.46/11.63 ! [X31,X36,X37,X13] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X13),hAPP(c_Set_Oimage(X37,X13,X36),X31))) => (c_Fun_Oinj__on(X37,X13,X36,X31) => hBOOL(hAPP(c_Finite__Set_Ofinite(X37),X31))))), 11.46/11.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__imageD)). 11.46/11.63 fof(f5125,axiom,( 11.46/11.63 ! [X28] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X28)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X28), 11.46/11.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__1)). 11.46/11.63 fof(f5363,plain,( 11.46/11.63 ! [X0] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0), 11.46/11.63 inference(rectify,[],[f5125])). 11.46/11.63 fof(f6410,plain,( 11.46/11.63 ! [X0,X1] : (class_Finite__Set_Ofinite(X1) => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)))), 11.46/11.63 inference(rectify,[],[f3411])). 11.46/11.63 fof(f8987,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X2,X3,X1),X0))) => (c_Fun_Oinj__on(X2,X3,X1,X0) => hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X0))))), 11.46/11.63 inference(rectify,[],[f4998])). 11.46/11.63 fof(f9214,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : (! [X4] : (hBOOL(hAPP(hAPP(c_member(X3),X4),X0)) => ! [X5] : (hBOOL(hAPP(hAPP(c_member(X3),X5),X0)) => (hAPP(X1,X4) = hAPP(X1,X5) => X4 = X5))) <=> c_Fun_Oinj__on(X3,X2,X1,X0))), 11.46/11.63 inference(rectify,[],[f2622])). 11.46/11.63 fof(f10809,plain,( 11.46/11.63 ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1))), 11.46/11.63 inference(ennf_transformation,[],[f6410])). 11.46/11.63 fof(f13376,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X0)) | ~c_Fun_Oinj__on(X2,X3,X1,X0)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X2,X3,X1),X0))))), 11.46/11.63 inference(ennf_transformation,[],[f8987])). 11.46/11.63 fof(f13377,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X0)) | ~c_Fun_Oinj__on(X2,X3,X1,X0) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X2,X3,X1),X0))))), 11.46/11.63 inference(flattening,[],[f13376])). 11.46/11.63 fof(f13562,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : (! [X4] : (! [X5] : ((X4 = X5 | hAPP(X1,X4) != hAPP(X1,X5)) | ~hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) | ~hBOOL(hAPP(hAPP(c_member(X3),X4),X0))) <=> c_Fun_Oinj__on(X3,X2,X1,X0))), 11.46/11.63 inference(ennf_transformation,[],[f9214])). 11.46/11.63 fof(f13563,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : (! [X4] : (! [X5] : (X4 = X5 | hAPP(X1,X4) != hAPP(X1,X5) | ~hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) | ~hBOOL(hAPP(hAPP(c_member(X3),X4),X0))) <=> c_Fun_Oinj__on(X3,X2,X1,X0))), 11.46/11.63 inference(flattening,[],[f13562])). 11.46/11.63 fof(f16213,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : ((! [X4] : (! [X5] : (X4 = X5 | hAPP(X1,X4) != hAPP(X1,X5) | ~hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) | ~hBOOL(hAPP(hAPP(c_member(X3),X4),X0))) | ~c_Fun_Oinj__on(X3,X2,X1,X0)) & (c_Fun_Oinj__on(X3,X2,X1,X0) | ? [X4] : (? [X5] : (X4 != X5 & hAPP(X1,X4) = hAPP(X1,X5) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) & hBOOL(hAPP(hAPP(c_member(X3),X4),X0)))))), 11.46/11.63 inference(nnf_transformation,[],[f13563])). 11.46/11.63 fof(f16214,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : ((! [X4] : (! [X5] : (X4 = X5 | hAPP(X1,X4) != hAPP(X1,X5) | ~hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) | ~hBOOL(hAPP(hAPP(c_member(X3),X4),X0))) | ~c_Fun_Oinj__on(X3,X2,X1,X0)) & (c_Fun_Oinj__on(X3,X2,X1,X0) | ? [X6] : (? [X7] : (X6 != X7 & hAPP(X1,X6) = hAPP(X1,X7) & hBOOL(hAPP(hAPP(c_member(X3),X7),X0))) & hBOOL(hAPP(hAPP(c_member(X3),X6),X0)))))), 11.46/11.63 inference(rectify,[],[f16213])). 11.46/11.63 fof(f16215,plain,( 11.46/11.63 ! [X3,X1,X0] : (? [X6] : (? [X7] : (X6 != X7 & hAPP(X1,X6) = hAPP(X1,X7) & hBOOL(hAPP(hAPP(c_member(X3),X7),X0))) & hBOOL(hAPP(hAPP(c_member(X3),X6),X0))) => (? [X7] : (sK417(X0,X1,X3) != X7 & hAPP(X1,X7) = hAPP(X1,sK417(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),X7),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK417(X0,X1,X3)),X0))))), 11.46/11.63 introduced(choice_axiom,[])). 11.46/11.63 fof(f16216,plain,( 11.46/11.63 ( ! [X6] : (! [X3,X1,X0] : (? [X7] : (X6 != X7 & hAPP(X1,X6) = hAPP(X1,X7) & hBOOL(hAPP(hAPP(c_member(X3),X7),X0))) => (sK418(X0,X1,X3) != X6 & hAPP(X1,X6) = hAPP(X1,sK418(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK418(X0,X1,X3)),X0))))) )), 11.46/11.63 introduced(choice_axiom,[])). 11.46/11.63 fof(f16217,plain,( 11.46/11.63 ! [X0,X1,X2,X3] : ((! [X4] : (! [X5] : (X4 = X5 | hAPP(X1,X4) != hAPP(X1,X5) | ~hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) | ~hBOOL(hAPP(hAPP(c_member(X3),X4),X0))) | ~c_Fun_Oinj__on(X3,X2,X1,X0)) & (c_Fun_Oinj__on(X3,X2,X1,X0) | ((sK417(X0,X1,X3) != sK418(X0,X1,X3) & hAPP(X1,sK417(X0,X1,X3)) = hAPP(X1,sK418(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK418(X0,X1,X3)),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK417(X0,X1,X3)),X0)))))), 11.46/11.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK417,sK418])],[f16214,f16216,f16215])). 11.46/11.63 fof(f16826,plain,( 11.46/11.63 class_Finite__Set_Ofinite(tc_HOL_Obool)), 11.46/11.63 inference(cnf_transformation,[],[f1516])). 11.46/11.63 fof(f16898,plain,( 11.46/11.63 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 11.46/11.63 inference(cnf_transformation,[],[f1380])). 11.46/11.63 fof(f17098,plain,( 11.46/11.63 ( ! [X0] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0) )), 11.46/11.63 inference(cnf_transformation,[],[f5363])). 11.46/11.63 fof(f18355,plain,( 11.46/11.63 ( ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1)) )), 11.46/11.63 inference(cnf_transformation,[],[f10809])). 11.46/11.63 fof(f22053,plain,( 11.46/11.63 ( ! [X2,X0,X3,X1] : (~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X2,X3,X1),X0))) | ~c_Fun_Oinj__on(X2,X3,X1,X0) | hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X0))) )), 11.46/11.63 inference(cnf_transformation,[],[f13377])). 11.46/11.63 fof(f22531,plain,( 11.46/11.63 ( ! [X2,X0,X3,X1] : (hAPP(X1,sK417(X0,X1,X3)) = hAPP(X1,sK418(X0,X1,X3)) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 11.46/11.63 inference(cnf_transformation,[],[f16217])). 11.46/11.63 fof(f22532,plain,( 11.46/11.63 ( ! [X2,X0,X3,X1] : (sK417(X0,X1,X3) != sK418(X0,X1,X3) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 11.46/11.63 inference(cnf_transformation,[],[f16217])). 11.46/11.63 fof(f25692,plain,( 11.46/11.63 ( ! [X0] : (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X0))) )), 11.46/11.63 inference(unit_resulting_resolution,[],[f16826,f18355])). 11.46/11.63 fof(f120533,plain,( 11.46/11.63 ( ! [X3558,X3557,X3559] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK417(X3557,c_Nat_OSuc,X3558))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = sK418(X3557,c_Nat_OSuc,X3558) | c_Fun_Oinj__on(X3558,X3559,c_Nat_OSuc,X3557)) )), 11.46/11.63 inference(superposition,[],[f17098,f22531])). 11.46/11.63 fof(f121388,plain,( 11.46/11.63 ( ! [X3558,X3557,X3559] : (sK417(X3557,c_Nat_OSuc,X3558) = sK418(X3557,c_Nat_OSuc,X3558) | c_Fun_Oinj__on(X3558,X3559,c_Nat_OSuc,X3557)) )), 11.46/11.63 inference(forward_demodulation,[],[f120533,f17098])). 11.46/11.63 fof(f121389,plain,( 11.46/11.63 ( ! [X3558,X3557,X3559] : (c_Fun_Oinj__on(X3558,X3559,c_Nat_OSuc,X3557)) )), 11.46/11.63 inference(subsumption_resolution,[],[f121388,f22532])). 11.46/11.63 fof(f176969,plain,( 11.46/11.63 $false), 11.46/11.63 inference(unit_resulting_resolution,[],[f121389,f16898,f25692,f22053])). 11.46/11.63 % SZS output end Proof for theBenchmark 11.46/11.63 % ------------------------------ 11.46/11.63 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 11.46/11.63 % Termination reason: Refutation 11.46/11.63 11.46/11.63 % Memory used [KB]: 124987 11.46/11.63 % Time elapsed: 4.101 s 11.46/11.63 % ------------------------------ 11.46/11.63 % ------------------------------ 11.46/11.64 % Success in time 11.393 s 11.46/11.64 EOF