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 : n130.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 06:05:24 CDT 2018 0.03/0.25 % CPUTime : 0.37/0.57 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.37/0.57 % remaining time: 5996 next slice time: 4 0.37/0.60 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 0.88/1.10 % (3717)Time limit reached! 0.88/1.10 % ------------------------------ 0.88/1.10 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.88/1.10 % Termination reason: Time limit 0.88/1.10 % Termination phase: Saturation 0.88/1.10 0.88/1.10 % Memory used [KB]: 32877 0.88/1.10 % Time elapsed: 0.500 s 0.88/1.10 % ------------------------------ 0.88/1.10 % ------------------------------ 0.88/1.10 % remaining time: 5991 next slice time: 4 0.88/1.10 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 0.90/1.31 % Refutation not found, incomplete strategy 0.90/1.31 % ------------------------------ 0.90/1.31 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.90/1.31 % Termination reason: Refutation not found, incomplete strategy 0.90/1.31 0.90/1.31 % Memory used [KB]: 19445 0.90/1.31 % Time elapsed: 0.211 s 0.90/1.31 % ------------------------------ 0.90/1.31 % ------------------------------ 0.90/1.32 % remaining time: 5989 next slice time: 10 0.90/1.32 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 1.11/1.44 % Refutation not found, incomplete strategy 1.11/1.44 % ------------------------------ 1.11/1.44 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.11/1.44 % Termination reason: Refutation not found, incomplete strategy 1.11/1.44 1.11/1.44 % Memory used [KB]: 26225 1.11/1.44 % Time elapsed: 0.127 s 1.11/1.44 % ------------------------------ 1.11/1.44 % ------------------------------ 1.11/1.45 % remaining time: 5988 next slice time: 4 1.25/1.45 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 1.73/1.95 % (3720)Time limit reached! 1.73/1.95 % ------------------------------ 1.73/1.95 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.73/1.95 % Termination reason: Time limit 1.73/1.95 % Termination phase: Saturation 1.73/1.95 1.73/1.95 % Memory used [KB]: 28656 1.73/1.95 % Time elapsed: 0.500 s 1.73/1.95 % ------------------------------ 1.73/1.95 % ------------------------------ 1.73/1.95 % remaining time: 5982 next slice time: 6 1.73/1.95 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 1.94/2.14 % Refutation not found, incomplete strategy 1.94/2.14 % ------------------------------ 1.94/2.14 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.94/2.14 % Termination reason: Refutation not found, incomplete strategy 1.94/2.14 1.94/2.14 % Memory used [KB]: 12665 1.94/2.14 % Time elapsed: 0.190 s 1.94/2.14 % ------------------------------ 1.94/2.14 % ------------------------------ 1.94/2.15 % remaining time: 5981 next slice time: 35 1.94/2.15 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 5.56/5.75 % (3722)Time limit reached! 5.56/5.75 % ------------------------------ 5.56/5.75 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 5.56/5.75 % Termination reason: Time limit 5.56/5.75 % Termination phase: Saturation 5.56/5.75 5.56/5.75 % Memory used [KB]: 107716 5.56/5.75 % Time elapsed: 3.600 s 5.56/5.75 % ------------------------------ 5.56/5.75 % ------------------------------ 5.56/5.76 % remaining time: 5944 next slice time: 94 5.56/5.76 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 9.87/10.05 % Refutation found. Thanks to Tanya! 9.87/10.05 % SZS status Theorem for theBenchmark 9.87/10.05 % SZS output start Proof for theBenchmark 9.87/10.05 fof(f904,axiom,( 9.87/10.05 ! [X4] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X4)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4), 9.87/10.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__1)). 9.87/10.05 fof(f1353,axiom,( 9.87/10.05 ! [X17,X12,X18,X11] : (c_Fun_Oinj__on(X11,X18,X12,X17) <=> ! [X30] : (hBOOL(hAPP(hAPP(c_member(X11),X30),X17)) => ! [X96] : (hBOOL(hAPP(hAPP(c_member(X11),X96),X17)) => (hAPP(X12,X30) = hAPP(X12,X96) => X30 = X96))))), 9.87/10.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_inj__on__def)). 9.87/10.05 fof(f3082,axiom,( 9.87/10.05 ! [X17,X12,X18,X11] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X11),hAPP(c_Set_Oimage(X18,X11,X12),X17))) => (c_Fun_Oinj__on(X18,X11,X12,X17) => hBOOL(hAPP(c_Finite__Set_Ofinite(X18),X17))))), 9.87/10.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__imageD)). 9.87/10.05 fof(f4698,axiom,( 9.87/10.05 class_Finite__Set_Ofinite(tc_Product__Type_Ounit)), 9.87/10.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Product____Type__Ounit__Finite__Set_Ofinite)). 9.87/10.05 fof(f4852,axiom,( 9.87/10.05 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))), 9.87/10.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_infinite__UNIV__nat)). 9.87/10.05 fof(f5112,axiom,( 9.87/10.05 ! [X17,X11] : (class_Finite__Set_Ofinite(X11) => hBOOL(hAPP(c_Finite__Set_Ofinite(X11),X17)))), 9.87/10.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__code)). 9.87/10.05 fof(f5370,plain,( 9.87/10.05 ! [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), 9.87/10.05 inference(rectify,[],[f904])). 9.87/10.05 fof(f6429,plain,( 9.87/10.05 ! [X0,X1] : (class_Finite__Set_Ofinite(X1) => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)))), 9.87/10.05 inference(rectify,[],[f5112])). 9.87/10.05 fof(f8967,plain,( 9.87/10.05 ! [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))))), 9.87/10.05 inference(rectify,[],[f3082])). 9.87/10.05 fof(f9113,plain,( 9.87/10.05 ! [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))))), 9.87/10.05 inference(rectify,[],[f1353])). 9.87/10.05 fof(f10816,plain,( 9.87/10.05 ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1))), 9.87/10.05 inference(ennf_transformation,[],[f6429])). 9.87/10.05 fof(f13271,plain,( 9.87/10.05 ! [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))))), 9.87/10.05 inference(ennf_transformation,[],[f8967])). 9.87/10.05 fof(f13272,plain,( 9.87/10.05 ! [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))))), 9.87/10.05 inference(flattening,[],[f13271])). 9.87/10.05 fof(f13442,plain,( 9.87/10.05 ! [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))))), 9.87/10.05 inference(ennf_transformation,[],[f9113])). 9.87/10.05 fof(f13443,plain,( 9.87/10.05 ! [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))))), 9.87/10.05 inference(flattening,[],[f13442])). 9.87/10.05 fof(f15900,plain,( 9.87/10.05 ! [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)))), 9.87/10.05 inference(nnf_transformation,[],[f13443])). 9.87/10.05 fof(f15901,plain,( 9.87/10.05 ! [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)))), 9.87/10.05 inference(rectify,[],[f15900])). 9.87/10.05 fof(f15902,plain,( 9.87/10.05 ! [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] : (sK392(X0,X1,X3) != X5 & hAPP(X1,X5) = hAPP(X1,sK392(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK392(X0,X1,X3)),X0))))), 9.87/10.05 introduced(choice_axiom,[])). 9.87/10.05 fof(f15903,plain,( 9.87/10.05 ( ! [X4] : (! [X3,X1,X0] : (? [X5] : (X4 != X5 & hAPP(X1,X4) = hAPP(X1,X5) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) => (sK393(X0,X1,X3) != X4 & hAPP(X1,X4) = hAPP(X1,sK393(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK393(X0,X1,X3)),X0))))) )), 9.87/10.05 introduced(choice_axiom,[])). 9.87/10.05 fof(f15904,plain,( 9.87/10.05 ! [X0,X1,X2,X3] : ((c_Fun_Oinj__on(X3,X2,X1,X0) | ((sK392(X0,X1,X3) != sK393(X0,X1,X3) & hAPP(X1,sK392(X0,X1,X3)) = hAPP(X1,sK393(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK393(X0,X1,X3)),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK392(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)))), 9.87/10.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK392,sK393])],[f15901,f15903,f15902])). 9.87/10.05 fof(f16708,plain,( 9.87/10.05 class_Finite__Set_Ofinite(tc_Product__Type_Ounit)), 9.87/10.05 inference(cnf_transformation,[],[f4698])). 9.87/10.05 fof(f16784,plain,( 9.87/10.05 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))), 9.87/10.05 inference(cnf_transformation,[],[f4852])). 9.87/10.05 fof(f16989,plain,( 9.87/10.05 ( ! [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) )), 9.87/10.05 inference(cnf_transformation,[],[f5370])). 9.87/10.05 fof(f18256,plain,( 9.87/10.05 ( ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1)) )), 9.87/10.05 inference(cnf_transformation,[],[f10816])). 9.87/10.05 fof(f21862,plain,( 9.87/10.05 ( ! [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))) )), 9.87/10.05 inference(cnf_transformation,[],[f13272])). 9.87/10.05 fof(f22069,plain,( 9.87/10.05 ( ! [X2,X0,X3,X1] : (hAPP(X1,sK392(X0,X1,X3)) = hAPP(X1,sK393(X0,X1,X3)) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 9.87/10.05 inference(cnf_transformation,[],[f15904])). 9.87/10.05 fof(f22070,plain,( 9.87/10.05 ( ! [X2,X0,X3,X1] : (sK392(X0,X1,X3) != sK393(X0,X1,X3) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 9.87/10.05 inference(cnf_transformation,[],[f15904])). 9.87/10.05 fof(f25556,plain,( 9.87/10.05 ( ! [X0] : (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Product__Type_Ounit),X0))) )), 9.87/10.05 inference(unit_resulting_resolution,[],[f16708,f18256])). 9.87/10.05 fof(f121255,plain,( 9.87/10.05 ( ! [X3202,X3204,X3203] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK392(X3202,c_Nat_OSuc,X3203))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = sK393(X3202,c_Nat_OSuc,X3203) | c_Fun_Oinj__on(X3203,X3204,c_Nat_OSuc,X3202)) )), 9.87/10.05 inference(superposition,[],[f16989,f22069])). 9.87/10.05 fof(f122172,plain,( 9.87/10.05 ( ! [X3202,X3204,X3203] : (sK392(X3202,c_Nat_OSuc,X3203) = sK393(X3202,c_Nat_OSuc,X3203) | c_Fun_Oinj__on(X3203,X3204,c_Nat_OSuc,X3202)) )), 9.87/10.05 inference(forward_demodulation,[],[f121255,f16989])). 9.87/10.05 fof(f122173,plain,( 9.87/10.05 ( ! [X3202,X3204,X3203] : (c_Fun_Oinj__on(X3203,X3204,c_Nat_OSuc,X3202)) )), 9.87/10.05 inference(subsumption_resolution,[],[f122172,f22070])). 9.87/10.05 fof(f186643,plain,( 9.87/10.05 $false), 9.87/10.05 inference(unit_resulting_resolution,[],[f122173,f16784,f25556,f21862])). 9.87/10.05 % SZS output end Proof for theBenchmark 9.87/10.05 % ------------------------------ 9.87/10.05 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 9.87/10.05 % Termination reason: Refutation 9.87/10.05 9.87/10.05 % Memory used [KB]: 129336 9.87/10.05 % Time elapsed: 4.292 s 9.87/10.05 % ------------------------------ 9.87/10.05 % ------------------------------ 9.87/10.06 % Success in time 9.811 s 9.87/10.07 EOF