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 0.02/0.24 % Computer : n008.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 06:15:39 CDT 2018 0.02/0.24 % 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 1.98/2.20 % Time limit reached! 1.98/2.20 % ------------------------------ 1.98/2.20 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.98/2.20 % Termination reason: Time limit 1.98/2.20 % Termination phase: Saturation 1.98/2.20 1.98/2.20 % Memory used [KB]: 85073 1.98/2.20 % Time elapsed: 1.600 s 1.98/2.20 % ------------------------------ 1.98/2.20 % ------------------------------ 1.98/2.24 % 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 3.33/3.53 % Time limit reached! 3.33/3.53 % ------------------------------ 3.33/3.53 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.33/3.53 % Termination reason: Time limit 3.33/3.53 % Termination phase: Saturation 3.33/3.53 3.33/3.53 % Memory used [KB]: 52451 3.33/3.53 % Time elapsed: 1.300 s 3.33/3.53 % ------------------------------ 3.33/3.53 % ------------------------------ 3.33/3.57 % 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 4.68/4.87 % Time limit reached! 4.68/4.87 % ------------------------------ 4.68/4.87 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.68/4.87 % Termination reason: Time limit 4.68/4.87 % Termination phase: Saturation 4.68/4.87 4.68/4.87 % Memory used [KB]: 40297 4.68/4.87 % Time elapsed: 1.300 s 4.68/4.87 % ------------------------------ 4.68/4.87 % ------------------------------ 4.68/4.91 % 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 6.18/6.41 % Time limit reached! 6.18/6.41 % ------------------------------ 6.18/6.41 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.18/6.41 % Termination reason: Time limit 6.18/6.41 % Termination phase: Saturation 6.18/6.41 6.18/6.41 % Memory used [KB]: 32622 6.18/6.41 % Time elapsed: 1.500 s 6.18/6.41 % ------------------------------ 6.18/6.41 % ------------------------------ 6.18/6.44 % 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 9.20/9.44 % Time limit reached! 9.20/9.44 % ------------------------------ 9.20/9.44 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 9.20/9.44 % Termination reason: Time limit 9.20/9.44 % Termination phase: Saturation 9.20/9.44 9.20/9.44 % Memory used [KB]: 90702 9.20/9.44 % Time elapsed: 3.0000 s 9.20/9.44 % ------------------------------ 9.20/9.44 % ------------------------------ 9.29/9.49 % 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 13.24/13.47 % Refutation found. Thanks to Tanya! 13.24/13.47 % SZS status Theorem for theBenchmark 13.24/13.47 % SZS output start Proof for theBenchmark 13.24/13.47 fof(f582,axiom,( 13.24/13.47 class_Finite__Set_Ofinite(tc_Product__Type_Ounit)), 13.24/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Product____Type__Ounit__Finite__Set_Ofinite)). 13.24/13.47 fof(f757,axiom,( 13.24/13.47 ! [X3,X10,X11,X4] : (c_Fun_Oinj__on(X4,X11,X10,X3) <=> ! [X14] : (hBOOL(hAPP(hAPP(c_member(X4),X14),X3)) => ! [X15] : (hBOOL(hAPP(hAPP(c_member(X4),X15),X3)) => (hAPP(X10,X14) = hAPP(X10,X15) => X14 = X15))))), 13.24/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inj__on__def)). 13.24/13.47 fof(f3231,axiom,( 13.24/13.47 ! [X3,X4] : (class_Finite__Set_Ofinite(X4) => hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X3)))), 13.24/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite)). 13.24/13.47 fof(f3368,axiom,( 13.24/13.47 ! [X7] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X7)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X7), 13.24/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__1)). 13.24/13.47 fof(f4515,axiom,( 13.24/13.47 ! [X3,X10,X11,X4] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X4),hAPP(c_Set_Oimage(X11,X4,X10),X3))) => (c_Fun_Oinj__on(X11,X4,X10,X3) => hBOOL(hAPP(c_Finite__Set_Ofinite(X11),X3))))), 13.24/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__imageD)). 13.24/13.47 fof(f5115,axiom,( 13.24/13.47 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 13.24/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_infinite__UNIV__int)). 13.24/13.47 fof(f5364,plain,( 13.24/13.47 ! [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), 13.24/13.47 inference(rectify,[],[f3368])). 13.24/13.47 fof(f6399,plain,( 13.24/13.47 ! [X0,X1] : (class_Finite__Set_Ofinite(X1) => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)))), 13.24/13.47 inference(rectify,[],[f3231])). 13.24/13.47 fof(f8903,plain,( 13.24/13.47 ! [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))))), 13.24/13.47 inference(rectify,[],[f4515])). 13.24/13.47 fof(f9051,plain,( 13.24/13.47 ! [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))))), 13.24/13.47 inference(rectify,[],[f757])). 13.24/13.47 fof(f10770,plain,( 13.24/13.47 ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1))), 13.24/13.47 inference(ennf_transformation,[],[f6399])). 13.24/13.47 fof(f13210,plain,( 13.24/13.47 ! [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))))), 13.24/13.47 inference(ennf_transformation,[],[f8903])). 13.24/13.47 fof(f13211,plain,( 13.24/13.47 ! [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))))), 13.24/13.47 inference(flattening,[],[f13210])). 13.24/13.47 fof(f13382,plain,( 13.24/13.47 ! [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))))), 13.24/13.47 inference(ennf_transformation,[],[f9051])). 13.24/13.47 fof(f13383,plain,( 13.24/13.47 ! [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))))), 13.24/13.47 inference(flattening,[],[f13382])). 13.24/13.47 fof(f15819,plain,( 13.24/13.47 ! [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)))), 13.24/13.47 inference(nnf_transformation,[],[f13383])). 13.24/13.47 fof(f15820,plain,( 13.24/13.47 ! [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)))), 13.24/13.47 inference(rectify,[],[f15819])). 13.24/13.47 fof(f15821,plain,( 13.24/13.47 ! [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] : (sK386(X0,X1,X3) != X5 & hAPP(X1,X5) = hAPP(X1,sK386(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK386(X0,X1,X3)),X0))))), 13.24/13.47 introduced(choice_axiom,[])). 13.24/13.47 fof(f15822,plain,( 13.24/13.47 ( ! [X4] : (! [X3,X1,X0] : (? [X5] : (X4 != X5 & hAPP(X1,X4) = hAPP(X1,X5) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) => (sK387(X0,X1,X3) != X4 & hAPP(X1,X4) = hAPP(X1,sK387(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK387(X0,X1,X3)),X0))))) )), 13.24/13.47 introduced(choice_axiom,[])). 13.24/13.47 fof(f15823,plain,( 13.24/13.47 ! [X0,X1,X2,X3] : ((c_Fun_Oinj__on(X3,X2,X1,X0) | ((sK386(X0,X1,X3) != sK387(X0,X1,X3) & hAPP(X1,sK386(X0,X1,X3)) = hAPP(X1,sK387(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK387(X0,X1,X3)),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK386(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)))), 13.24/13.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK386,sK387])],[f15820,f15822,f15821])). 13.24/13.47 fof(f16646,plain,( 13.24/13.47 class_Finite__Set_Ofinite(tc_Product__Type_Ounit)), 13.24/13.47 inference(cnf_transformation,[],[f582])). 13.24/13.47 fof(f16723,plain,( 13.24/13.47 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 13.24/13.47 inference(cnf_transformation,[],[f5115])). 13.24/13.47 fof(f16925,plain,( 13.24/13.47 ( ! [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) )), 13.24/13.47 inference(cnf_transformation,[],[f5364])). 13.24/13.47 fof(f18185,plain,( 13.24/13.47 ( ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1)) )), 13.24/13.47 inference(cnf_transformation,[],[f10770])). 13.24/13.47 fof(f21759,plain,( 13.24/13.47 ( ! [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))) )), 13.24/13.47 inference(cnf_transformation,[],[f13211])). 13.24/13.47 fof(f21975,plain,( 13.24/13.47 ( ! [X2,X0,X3,X1] : (hAPP(X1,sK386(X0,X1,X3)) = hAPP(X1,sK387(X0,X1,X3)) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 13.24/13.47 inference(cnf_transformation,[],[f15823])). 13.24/13.47 fof(f21976,plain,( 13.24/13.47 ( ! [X2,X0,X3,X1] : (sK386(X0,X1,X3) != sK387(X0,X1,X3) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 13.24/13.47 inference(cnf_transformation,[],[f15823])). 13.24/13.47 fof(f25453,plain,( 13.24/13.47 ( ! [X0] : (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Product__Type_Ounit),X0))) )), 13.24/13.47 inference(unit_resulting_resolution,[],[f16646,f18185])). 13.24/13.47 fof(f110287,plain,( 13.24/13.47 ( ! [X4012,X4013,X4011] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK386(X4011,c_Nat_OSuc,X4012))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = sK387(X4011,c_Nat_OSuc,X4012) | c_Fun_Oinj__on(X4012,X4013,c_Nat_OSuc,X4011)) )), 13.24/13.47 inference(superposition,[],[f16925,f21975])). 13.24/13.47 fof(f111051,plain,( 13.24/13.47 ( ! [X4012,X4013,X4011] : (sK386(X4011,c_Nat_OSuc,X4012) = sK387(X4011,c_Nat_OSuc,X4012) | c_Fun_Oinj__on(X4012,X4013,c_Nat_OSuc,X4011)) )), 13.24/13.47 inference(forward_demodulation,[],[f110287,f16925])). 13.24/13.47 fof(f111052,plain,( 13.24/13.47 ( ! [X4012,X4013,X4011] : (c_Fun_Oinj__on(X4012,X4013,c_Nat_OSuc,X4011)) )), 13.24/13.47 inference(subsumption_resolution,[],[f111051,f21976])). 13.24/13.47 fof(f174897,plain,( 13.24/13.47 $false), 13.24/13.47 inference(unit_resulting_resolution,[],[f111052,f16723,f25453,f21759])). 13.24/13.47 % SZS output end Proof for theBenchmark 13.24/13.47 % ------------------------------ 13.24/13.47 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.24/13.47 % Termination reason: Refutation 13.24/13.47 13.24/13.47 % Memory used [KB]: 124987 13.24/13.47 % Time elapsed: 3.982 s 13.24/13.47 % ------------------------------ 13.24/13.47 % ------------------------------ 13.31/13.48 % Success in time 13.233 s 13.31/13.48 EOF