0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n167.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 06:16:40 CDT 2018 0.03/0.24 % CPUTime : 0.35/0.60 % dis+11_8:1_afp=100000:afq=1.2:amm=off:anc=none:cond=on:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=1:sd=1:ss=axioms:sp=occurrence:urr=on_11 on theBenchmark 2.00/2.20 % Time limit reached! 2.00/2.20 % ------------------------------ 2.00/2.20 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.00/2.20 % Termination reason: Time limit 2.00/2.20 % Termination phase: Saturation 2.00/2.20 2.00/2.20 % Memory used [KB]: 83538 2.00/2.20 % Time elapsed: 1.600 s 2.00/2.20 % ------------------------------ 2.00/2.20 % ------------------------------ 2.00/2.24 % dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off_9 on theBenchmark 3.34/3.54 % Time limit reached! 3.34/3.54 % ------------------------------ 3.34/3.54 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.34/3.54 % Termination reason: Time limit 3.34/3.54 % Termination phase: Saturation 3.34/3.54 3.34/3.54 % Memory used [KB]: 55009 3.34/3.54 % Time elapsed: 1.300 s 3.34/3.54 % ------------------------------ 3.34/3.54 % ------------------------------ 3.34/3.58 % 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 4.69/4.88 % Time limit reached! 4.69/4.88 % ------------------------------ 4.69/4.88 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.69/4.88 % Termination reason: Time limit 4.69/4.88 % Termination phase: Saturation 4.69/4.88 4.69/4.88 % Memory used [KB]: 48357 4.69/4.88 % Time elapsed: 1.300 s 4.69/4.88 % ------------------------------ 4.69/4.88 % ------------------------------ 4.69/4.92 % lrs+2_1_add=large:afp=100000:afq=1.0:amm=off:anc=none:bd=off:bs=unit_only:bsr=on:gsp=input_only:lma=on:lwlo=on:newcnf=on:nwc=1:stl=30:sos=theory:sp=reverse_arity:updr=off_10 on theBenchmark 6.20/6.41 % Time limit reached! 6.20/6.41 % ------------------------------ 6.20/6.41 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.20/6.41 % Termination reason: Time limit 6.20/6.41 % Termination phase: Saturation 6.20/6.41 6.20/6.41 % Memory used [KB]: 33133 6.20/6.41 % Time elapsed: 1.500 s 6.20/6.41 % ------------------------------ 6.20/6.41 % ------------------------------ 6.20/6.45 % lrs+1002_2:1_aac=none:afr=on:afp=1000:afq=1.2:anc=all:bd=preordered:bsr=on:cond=fast:gsp=input_only:gs=on:nm=0:nwc=2.5:nicw=on:sas=z3:stl=30:sd=4:ss=axioms:st=2.0:sos=on:sac=on:urr=on:updr=off:uhcvi=on_22 on theBenchmark 9.22/9.45 % Time limit reached! 9.22/9.45 % ------------------------------ 9.22/9.45 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 9.22/9.45 % Termination reason: Time limit 9.22/9.45 % Termination phase: Saturation 9.22/9.45 9.22/9.45 % Memory used [KB]: 66523 9.22/9.45 % Time elapsed: 3.0000 s 9.22/9.45 % ------------------------------ 9.22/9.45 % ------------------------------ 9.31/9.49 % 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 16.15/16.31 % Refutation found. Thanks to Tanya! 16.15/16.31 % SZS status Theorem for theBenchmark 16.15/16.31 % SZS output start Proof for theBenchmark 16.15/16.31 fof(f1294,axiom,( 16.15/16.31 ! [X1,X7,X2,X3] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X2,X3,X7),X1))) => (c_Fun_Oinj__on(X2,X3,X7,X1) => hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1))))), 16.15/16.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__imageD)). 16.15/16.31 fof(f1938,axiom,( 16.15/16.31 ! [X1,X7,X2,X3] : (c_Fun_Oinj__on(X3,X2,X7,X1) <=> ! [X15] : (hBOOL(hAPP(hAPP(c_member(X3),X15),X1)) => ! [X145] : (hBOOL(hAPP(hAPP(c_member(X3),X145),X1)) => (hAPP(X7,X15) = hAPP(X7,X145) => X15 = X145))))), 16.15/16.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inj__on__def)). 16.15/16.31 fof(f2617,axiom,( 16.15/16.31 ! [X1,X3] : (class_Finite__Set_Ofinite(X3) => hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X1)))), 16.15/16.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__code)). 16.15/16.31 fof(f2833,axiom,( 16.15/16.31 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))), 16.15/16.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_infinite__UNIV__nat)). 16.15/16.31 fof(f2913,axiom,( 16.15/16.31 class_Finite__Set_Ofinite(tc_HOL_Obool)), 16.15/16.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Finite__Set_Ofinite)). 16.15/16.31 fof(f4982,axiom,( 16.15/16.31 ! [X0,X3] : c_HOL_OThe(X3,hAPP(c_fequal,X0)) = X0), 16.15/16.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_the__sym__eq__trivial)). 16.15/16.31 fof(f5689,plain,( 16.15/16.31 ! [X0,X1] : c_HOL_OThe(X1,hAPP(c_fequal,X0)) = X0), 16.15/16.31 inference(rectify,[],[f4982])). 16.15/16.31 fof(f6410,plain,( 16.15/16.31 ! [X0,X1] : (class_Finite__Set_Ofinite(X1) => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)))), 16.15/16.31 inference(rectify,[],[f2617])). 16.15/16.31 fof(f8893,plain,( 16.15/16.31 ! [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))))), 16.15/16.31 inference(rectify,[],[f1294])). 16.15/16.31 fof(f9036,plain,( 16.15/16.31 ! [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))))), 16.15/16.31 inference(rectify,[],[f1938])). 16.15/16.31 fof(f10813,plain,( 16.15/16.31 ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1))), 16.15/16.31 inference(ennf_transformation,[],[f6410])). 16.15/16.31 fof(f13228,plain,( 16.15/16.31 ! [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))))), 16.15/16.31 inference(ennf_transformation,[],[f8893])). 16.15/16.31 fof(f13229,plain,( 16.15/16.31 ! [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))))), 16.15/16.31 inference(flattening,[],[f13228])). 16.15/16.31 fof(f13401,plain,( 16.15/16.31 ! [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))))), 16.15/16.31 inference(ennf_transformation,[],[f9036])). 16.15/16.31 fof(f13402,plain,( 16.15/16.31 ! [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))))), 16.15/16.31 inference(flattening,[],[f13401])). 16.15/16.31 fof(f15892,plain,( 16.15/16.31 ! [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)))), 16.15/16.31 inference(nnf_transformation,[],[f13402])). 16.15/16.31 fof(f15893,plain,( 16.15/16.31 ! [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)))), 16.15/16.31 inference(rectify,[],[f15892])). 16.15/16.31 fof(f15894,plain,( 16.15/16.31 ! [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] : (sK403(X0,X1,X3) != X5 & hAPP(X1,X5) = hAPP(X1,sK403(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK403(X0,X1,X3)),X0))))), 16.15/16.31 introduced(choice_axiom,[])). 16.15/16.31 fof(f15895,plain,( 16.15/16.31 ( ! [X4] : (! [X3,X1,X0] : (? [X5] : (X4 != X5 & hAPP(X1,X4) = hAPP(X1,X5) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) => (sK404(X0,X1,X3) != X4 & hAPP(X1,X4) = hAPP(X1,sK404(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK404(X0,X1,X3)),X0))))) )), 16.15/16.31 introduced(choice_axiom,[])). 16.15/16.31 fof(f15896,plain,( 16.15/16.31 ! [X0,X1,X2,X3] : ((c_Fun_Oinj__on(X3,X2,X1,X0) | ((sK403(X0,X1,X3) != sK404(X0,X1,X3) & hAPP(X1,sK403(X0,X1,X3)) = hAPP(X1,sK404(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK404(X0,X1,X3)),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK403(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)))), 16.15/16.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK403,sK404])],[f15893,f15895,f15894])). 16.15/16.31 fof(f16743,plain,( 16.15/16.31 class_Finite__Set_Ofinite(tc_HOL_Obool)), 16.15/16.31 inference(cnf_transformation,[],[f2913])). 16.15/16.31 fof(f16826,plain,( 16.15/16.31 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))), 16.15/16.31 inference(cnf_transformation,[],[f2833])). 16.15/16.31 fof(f17445,plain,( 16.15/16.31 ( ! [X0,X1] : (c_HOL_OThe(X1,hAPP(c_fequal,X0)) = X0) )), 16.15/16.31 inference(cnf_transformation,[],[f5689])). 16.15/16.31 fof(f18292,plain,( 16.15/16.31 ( ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1)) )), 16.15/16.31 inference(cnf_transformation,[],[f10813])). 16.15/16.31 fof(f21825,plain,( 16.15/16.31 ( ! [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))) )), 16.15/16.31 inference(cnf_transformation,[],[f13229])). 16.15/16.31 fof(f22051,plain,( 16.15/16.31 ( ! [X2,X0,X3,X1] : (hAPP(X1,sK403(X0,X1,X3)) = hAPP(X1,sK404(X0,X1,X3)) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 16.15/16.31 inference(cnf_transformation,[],[f15896])). 16.15/16.31 fof(f22052,plain,( 16.15/16.31 ( ! [X2,X0,X3,X1] : (sK403(X0,X1,X3) != sK404(X0,X1,X3) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 16.15/16.31 inference(cnf_transformation,[],[f15896])). 16.15/16.31 fof(f25304,plain,( 16.15/16.31 ( ! [X0] : (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X0))) )), 16.15/16.31 inference(unit_resulting_resolution,[],[f16743,f18292])). 16.15/16.31 fof(f152194,plain,( 16.15/16.31 ( ! [X2553,X2555,X2556,X2554] : (c_HOL_OThe(X2555,hAPP(c_fequal,sK403(X2553,c_fequal,X2554))) = sK404(X2553,c_fequal,X2554) | c_Fun_Oinj__on(X2554,X2556,c_fequal,X2553)) )), 16.15/16.31 inference(superposition,[],[f17445,f22051])). 16.15/16.31 fof(f153280,plain,( 16.15/16.31 ( ! [X2553,X2556,X2554] : (sK403(X2553,c_fequal,X2554) = sK404(X2553,c_fequal,X2554) | c_Fun_Oinj__on(X2554,X2556,c_fequal,X2553)) )), 16.15/16.31 inference(forward_demodulation,[],[f152194,f17445])). 16.15/16.31 fof(f153281,plain,( 16.15/16.31 ( ! [X2553,X2556,X2554] : (c_Fun_Oinj__on(X2554,X2556,c_fequal,X2553)) )), 16.15/16.31 inference(subsumption_resolution,[],[f153280,f22052])). 16.15/16.31 fof(f274147,plain,( 16.15/16.31 $false), 16.15/16.31 inference(unit_resulting_resolution,[],[f16826,f25304,f153281,f21825])). 16.15/16.31 % SZS output end Proof for theBenchmark 16.15/16.31 % ------------------------------ 16.15/16.31 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.15/16.31 % Termination reason: Refutation 16.15/16.31 16.15/16.31 % Memory used [KB]: 216073 16.15/16.31 % Time elapsed: 6.820 s 16.15/16.31 % ------------------------------ 16.15/16.31 % ------------------------------ 16.15/16.32 % Success in time 16.082 s 16.15/16.33 EOF