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 0.03/0.25 % Computer : n176.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 06:02:55 CDT 2018 0.03/0.25 % CPUTime : 0.33/0.57 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.33/0.57 % remaining time: 5996 next slice time: 4 0.33/0.60 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 % (26374)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]: 31470 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 0.42/1.11 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 1.41/1.61 % (26375)Time limit reached! 1.41/1.61 % ------------------------------ 1.41/1.61 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.41/1.61 % Termination reason: Time limit 1.41/1.61 % Termination phase: Saturation 1.41/1.61 1.41/1.61 % Memory used [KB]: 28656 1.41/1.61 % Time elapsed: 0.500 s 1.41/1.61 % ------------------------------ 1.41/1.61 % ------------------------------ 1.41/1.61 % remaining time: 5986 next slice time: 10 1.41/1.61 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 2.50/2.71 % (26376)Time limit reached! 2.50/2.71 % ------------------------------ 2.50/2.71 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.50/2.71 % Termination reason: Time limit 2.50/2.71 % Termination phase: Saturation 2.50/2.71 2.50/2.71 % Memory used [KB]: 52195 2.50/2.71 % Time elapsed: 1.100 s 2.50/2.71 % ------------------------------ 2.50/2.71 % ------------------------------ 2.50/2.72 % remaining time: 5975 next slice time: 4 2.50/2.72 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 3.00/3.22 % (26377)Time limit reached! 3.00/3.22 % ------------------------------ 3.00/3.22 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.00/3.22 % Termination reason: Time limit 3.00/3.22 % Termination phase: Saturation 3.00/3.22 3.00/3.22 % Memory used [KB]: 27632 3.00/3.22 % Time elapsed: 0.500 s 3.00/3.22 % ------------------------------ 3.00/3.22 % ------------------------------ 3.00/3.22 % remaining time: 5970 next slice time: 6 3.00/3.22 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 3.69/3.92 % (26378)Time limit reached! 3.69/3.92 % ------------------------------ 3.69/3.92 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.69/3.92 % Termination reason: Time limit 3.69/3.92 % Termination phase: Saturation 3.69/3.92 3.69/3.92 % Memory used [KB]: 27504 3.69/3.92 % Time elapsed: 0.700 s 3.69/3.92 % ------------------------------ 3.69/3.92 % ------------------------------ 3.69/3.93 % remaining time: 5963 next slice time: 35 3.69/3.93 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 7.33/7.53 % (26379)Time limit reached! 7.33/7.53 % ------------------------------ 7.33/7.53 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.33/7.53 % Termination reason: Time limit 7.33/7.53 % Termination phase: Saturation 7.33/7.53 7.33/7.53 % Memory used [KB]: 107844 7.33/7.53 % Time elapsed: 3.600 s 7.33/7.53 % ------------------------------ 7.33/7.53 % ------------------------------ 7.33/7.54 % remaining time: 5927 next slice time: 94 7.33/7.54 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 11.45/11.69 % Refutation found. Thanks to Tanya! 11.45/11.69 % SZS status Theorem for theBenchmark 11.45/11.69 % SZS output start Proof for theBenchmark 11.45/11.69 fof(f3,axiom,( 11.45/11.69 ! [X6] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X6)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X6), 11.45/11.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__1)). 11.45/11.69 fof(f388,axiom,( 11.45/11.69 ! [X13,X5] : (class_Finite__Set_Ofinite(X5) => hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X13)))), 11.45/11.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite)). 11.45/11.69 fof(f1429,axiom,( 11.45/11.69 ! [X13,X8,X9,X5] : (c_Fun_Oinj__on(X5,X9,X8,X13) <=> ! [X23] : (hBOOL(hAPP(hAPP(c_member(X5),X23),X13)) => ! [X111] : (hBOOL(hAPP(hAPP(c_member(X5),X111),X13)) => (hAPP(X8,X23) = hAPP(X8,X111) => X23 = X111))))), 11.45/11.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inj__on__def)). 11.45/11.69 fof(f4089,axiom,( 11.45/11.69 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 11.45/11.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_infinite__UNIV__int)). 11.45/11.69 fof(f4490,axiom,( 11.45/11.69 class_Finite__Set_Ofinite(tc_HOL_Obool)), 11.45/11.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Finite__Set_Ofinite)). 11.45/11.69 fof(f4979,axiom,( 11.45/11.69 ! [X13,X8,X9,X5] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X5),hAPP(c_Set_Oimage(X9,X5,X8),X13))) => (c_Fun_Oinj__on(X9,X5,X8,X13) => hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X13))))), 11.45/11.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__imageD)). 11.45/11.69 fof(f5369,plain,( 11.45/11.69 ! [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), 11.45/11.69 inference(rectify,[],[f3])). 11.45/11.69 fof(f6416,plain,( 11.45/11.69 ! [X0,X1] : (class_Finite__Set_Ofinite(X1) => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)))), 11.45/11.69 inference(rectify,[],[f388])). 11.45/11.69 fof(f9004,plain,( 11.45/11.69 ! [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))))), 11.45/11.69 inference(rectify,[],[f4979])). 11.45/11.69 fof(f9149,plain,( 11.45/11.69 ! [X0,X1,X2,X3] : (c_Fun_Oinj__on(X3,X2,X1,X0) <=> ! [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))))), 11.45/11.69 inference(rectify,[],[f1429])). 11.45/11.69 fof(f10826,plain,( 11.45/11.69 ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1))), 11.45/11.69 inference(ennf_transformation,[],[f6416])). 11.45/11.69 fof(f13395,plain,( 11.45/11.69 ! [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))))), 11.45/11.69 inference(ennf_transformation,[],[f9004])). 11.45/11.69 fof(f13396,plain,( 11.45/11.69 ! [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))))), 11.45/11.69 inference(flattening,[],[f13395])). 11.45/11.69 fof(f13568,plain,( 11.45/11.69 ! [X0,X1,X2,X3] : (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))))), 11.45/11.69 inference(ennf_transformation,[],[f9149])). 11.45/11.69 fof(f13569,plain,( 11.45/11.69 ! [X0,X1,X2,X3] : (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))))), 11.45/11.69 inference(flattening,[],[f13568])). 11.45/11.69 fof(f16054,plain,( 11.45/11.69 ! [X0,X1,X2,X3] : ((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)))) & (! [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)))), 11.45/11.69 inference(nnf_transformation,[],[f13569])). 11.45/11.69 fof(f16055,plain,( 11.45/11.69 ! [X0,X1,X2,X3] : ((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)))) & (! [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))) | ~c_Fun_Oinj__on(X3,X2,X1,X0)))), 11.45/11.69 inference(rectify,[],[f16054])). 11.45/11.69 fof(f16056,plain,( 11.45/11.69 ! [X3,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))) => (? [X5] : (sK395(X0,X1,X3) != X5 & hAPP(X1,X5) = hAPP(X1,sK395(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK395(X0,X1,X3)),X0))))), 11.45/11.69 introduced(choice_axiom,[])). 11.45/11.69 fof(f16057,plain,( 11.45/11.69 ( ! [X4] : (! [X3,X1,X0] : (? [X5] : (X4 != X5 & hAPP(X1,X4) = hAPP(X1,X5) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) => (sK396(X0,X1,X3) != X4 & hAPP(X1,X4) = hAPP(X1,sK396(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK396(X0,X1,X3)),X0))))) )), 11.45/11.69 introduced(choice_axiom,[])). 11.45/11.69 fof(f16058,plain,( 11.45/11.69 ! [X0,X1,X2,X3] : ((c_Fun_Oinj__on(X3,X2,X1,X0) | ((sK395(X0,X1,X3) != sK396(X0,X1,X3) & hAPP(X1,sK395(X0,X1,X3)) = hAPP(X1,sK396(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK396(X0,X1,X3)),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK395(X0,X1,X3)),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))) | ~c_Fun_Oinj__on(X3,X2,X1,X0)))), 11.45/11.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK395,sK396])],[f16055,f16057,f16056])). 11.45/11.69 fof(f16842,plain,( 11.45/11.69 class_Finite__Set_Ofinite(tc_HOL_Obool)), 11.45/11.69 inference(cnf_transformation,[],[f4490])). 11.45/11.69 fof(f16914,plain,( 11.45/11.69 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 11.45/11.69 inference(cnf_transformation,[],[f4089])). 11.45/11.69 fof(f17114,plain,( 11.45/11.69 ( ! [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) )), 11.45/11.69 inference(cnf_transformation,[],[f5369])). 11.45/11.69 fof(f18371,plain,( 11.45/11.69 ( ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1)) )), 11.45/11.69 inference(cnf_transformation,[],[f10826])). 11.45/11.69 fof(f22068,plain,( 11.45/11.69 ( ! [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))) )), 11.45/11.69 inference(cnf_transformation,[],[f13396])). 11.45/11.69 fof(f22281,plain,( 11.45/11.69 ( ! [X2,X0,X3,X1] : (hAPP(X1,sK395(X0,X1,X3)) = hAPP(X1,sK396(X0,X1,X3)) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 11.45/11.69 inference(cnf_transformation,[],[f16058])). 11.45/11.69 fof(f22282,plain,( 11.45/11.69 ( ! [X2,X0,X3,X1] : (sK395(X0,X1,X3) != sK396(X0,X1,X3) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 11.45/11.69 inference(cnf_transformation,[],[f16058])). 11.45/11.69 fof(f25649,plain,( 11.45/11.69 ( ! [X0] : (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X0))) )), 11.45/11.69 inference(unit_resulting_resolution,[],[f16842,f18371])). 11.45/11.69 fof(f120754,plain,( 11.45/11.69 ( ! [X2625,X2624,X2626] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK395(X2624,c_Nat_OSuc,X2625))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = sK396(X2624,c_Nat_OSuc,X2625) | c_Fun_Oinj__on(X2625,X2626,c_Nat_OSuc,X2624)) )), 11.45/11.69 inference(superposition,[],[f17114,f22281])). 11.45/11.69 fof(f121811,plain,( 11.45/11.69 ( ! [X2625,X2624,X2626] : (sK395(X2624,c_Nat_OSuc,X2625) = sK396(X2624,c_Nat_OSuc,X2625) | c_Fun_Oinj__on(X2625,X2626,c_Nat_OSuc,X2624)) )), 11.45/11.69 inference(forward_demodulation,[],[f120754,f17114])). 11.45/11.69 fof(f121812,plain,( 11.45/11.69 ( ! [X2625,X2624,X2626] : (c_Fun_Oinj__on(X2625,X2626,c_Nat_OSuc,X2624)) )), 11.45/11.69 inference(subsumption_resolution,[],[f121811,f22282])). 11.45/11.69 fof(f179072,plain,( 11.45/11.69 $false), 11.45/11.69 inference(unit_resulting_resolution,[],[f121812,f16914,f25649,f22068])). 11.45/11.69 % SZS output end Proof for theBenchmark 11.45/11.69 % ------------------------------ 11.45/11.69 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 11.45/11.69 % Termination reason: Refutation 11.45/11.69 11.45/11.69 % Memory used [KB]: 126138 11.45/11.69 % Time elapsed: 4.150 s 11.45/11.69 % ------------------------------ 11.45/11.69 % ------------------------------ 11.45/11.70 % Success in time 11.44 s 11.45/11.70 EOF