0.07/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : vampire --mode casc -t %d %s --cores 8 0.15/0.37 % Computer : n004.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 1800 0.15/0.37 % WCLimit : 180 0.15/0.37 % DateTime : Thu Aug 29 10:56:23 EDT 2019 0.15/0.37 % CPUTime : 0.60/0.80 % (18895)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 0.60/0.82 % (18901)lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only_3 on theBenchmark 0.60/0.82 % (18899)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 0.60/0.82 % (18898)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 0.60/0.82 % (18897)dis+11_2:1_add=large:afp=1000:afq=1.2:amm=sco:anc=none:cond=on:gs=on:gsem=off:nm=16:newcnf=on:nwc=1:sas=z3:sd=1:ss=axioms:st=1.2:sos=on:sp=reverse_arity:updr=off_5 on theBenchmark 0.60/0.82 % (18900)dis+10_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:er=filter:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1.3:sp=reverse_arity:updr=off_2 on theBenchmark 0.60/0.84 % (18896)dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=input_only:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 0.60/0.84 % (18894)dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 4.16/1.24 % (18896)Time limit reached! 4.16/1.24 % (18896)------------------------------ 4.16/1.24 % (18896)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 4.16/1.24 % (18896)Termination reason: Time limit 4.16/1.24 % (18896)Termination phase: Saturation 4.16/1.24 4.16/1.24 % (18896)Memory used [KB]: 29423 4.16/1.24 % (18896)Time elapsed: 0.400 s 4.16/1.24 % (18896)------------------------------ 4.16/1.24 % (18896)------------------------------ 4.16/1.31 % (18902)lrs+11_3_afr=on:afp=10000:afq=1.0:cond=fast:fsr=off:fde=none:gs=on:gsem=off:lcm=reverse:nm=2:newcnf=on:nwc=1:sas=z3:stl=30:sd=10:ss=axioms:st=2.0:sos=all:sp=reverse_arity:urr=on:uhcvi=on_23 on theBenchmark 4.16/1.32 % (18900)Time limit reached! 4.16/1.32 % (18900)------------------------------ 4.16/1.32 % (18900)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 4.16/1.32 % (18900)Termination reason: Time limit 4.16/1.32 % (18900)Termination phase: Saturation 4.16/1.32 4.16/1.32 % (18900)Memory used [KB]: 41577 4.16/1.32 % (18900)Time elapsed: 0.500 s 4.16/1.32 % (18900)------------------------------ 4.16/1.32 % (18900)------------------------------ 4.79/1.39 % (18903)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_66 on theBenchmark 5.18/1.42 % (18901)Time limit reached! 5.18/1.42 % (18901)------------------------------ 5.18/1.42 % (18901)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 5.18/1.42 % (18901)Termination reason: Time limit 5.18/1.42 % (18901)Termination phase: Saturation 5.18/1.42 5.18/1.42 % (18901)Memory used [KB]: 23794 5.18/1.42 % (18901)Time elapsed: 0.600 s 5.18/1.42 % (18901)------------------------------ 5.18/1.42 % (18901)------------------------------ 5.66/1.48 % (18904)dis+1002_7_acc=on:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:ccuc=first:fsr=off:gsp=input_only:gs=on:gsem=on:nm=6:nwc=1.1:nicw=on:sos=on:sac=on:sp=occurrence:urr=ec_only_217 on theBenchmark 5.91/1.59 % (18895)Time limit reached! 5.91/1.59 % (18895)------------------------------ 5.91/1.59 % (18895)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 5.91/1.59 % (18895)Termination reason: Time limit 5.91/1.59 % (18895)Termination phase: Saturation 5.91/1.59 5.91/1.59 % (18895)Memory used [KB]: 22131 5.91/1.59 % (18895)Time elapsed: 0.800 s 5.91/1.59 % (18895)------------------------------ 5.91/1.59 % (18895)------------------------------ 6.37/1.65 % (18905)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on_23 on theBenchmark 7.84/1.73 % (18897)Time limit reached! 7.84/1.73 % (18897)------------------------------ 7.84/1.73 % (18897)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 7.84/1.73 % (18897)Termination reason: Time limit 7.84/1.73 7.84/1.73 % (18897)Memory used [KB]: 20852 7.84/1.73 % (18897)Time elapsed: 0.924 s 7.84/1.73 % (18897)------------------------------ 7.84/1.73 % (18897)------------------------------ 8.48/1.80 % (18906)lrs+1011_1_afp=40000:afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sd=2:ss=axioms:sos=all:sp=occurrence_6 on theBenchmark 9.85/2.01 % (18894)Time limit reached! 9.85/2.01 % (18894)------------------------------ 9.85/2.01 % (18894)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 9.85/2.01 % (18894)Termination reason: Time limit 9.85/2.01 % (18894)Termination phase: Saturation 9.85/2.01 9.85/2.01 % (18894)Memory used [KB]: 14456 9.85/2.01 % (18894)Time elapsed: 1.200 s 9.85/2.01 % (18894)------------------------------ 9.85/2.01 % (18894)------------------------------ 9.85/2.06 % (18907)dis+1010_7_afr=on:afp=10000:afq=1.1:amm=sco:anc=none:bd=off:bsr=on:cond=on:fsr=off:lma=on:nm=32:newcnf=on:nwc=1:urr=ec_only:updr=off_83 on theBenchmark 10.57/2.12 % (18899)Time limit reached! 10.57/2.12 % (18899)------------------------------ 10.57/2.12 % (18899)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 10.57/2.12 % (18899)Termination reason: Time limit 10.57/2.12 % (18899)Termination phase: Saturation 10.57/2.12 10.57/2.12 % (18899)Memory used [KB]: 33645 10.57/2.12 % (18899)Time elapsed: 1.300 s 10.57/2.12 % (18899)------------------------------ 10.57/2.12 % (18899)------------------------------ 11.73/2.21 % (18908)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 14.85/2.66 % (18908)Time limit reached! 14.85/2.66 % (18908)------------------------------ 14.85/2.66 % (18908)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 14.85/2.66 % (18908)Termination reason: Time limit 14.85/2.66 % (18908)Termination phase: Saturation 14.85/2.66 14.85/2.66 % (18908)Memory used [KB]: 25202 14.85/2.66 % (18908)Time elapsed: 0.500 s 14.85/2.66 % (18908)------------------------------ 14.85/2.66 % (18908)------------------------------ 15.60/2.70 % (18909)dis+1011_3_afp=4000:afq=1.1:amm=sco:anc=none:gs=on:gsaa=from_current:gsem=off:irw=on:nm=16:nwc=1:sas=z3:ss=axioms:sos=all:sac=on:sp=reverse_arity:updr=off_17 on theBenchmark 16.28/2.81 % (18906)Time limit reached! 16.28/2.81 % (18906)------------------------------ 16.28/2.81 % (18906)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 16.28/2.81 % (18906)Termination reason: Time limit 16.28/2.81 % (18906)Termination phase: Saturation 16.28/2.81 16.28/2.81 % (18906)Memory used [KB]: 25330 16.28/2.81 % (18906)Time elapsed: 1.0000 s 16.28/2.81 % (18906)------------------------------ 16.28/2.81 % (18906)------------------------------ 16.28/2.87 % (18910)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 26.98/4.17 % (18910)Time limit reached! 26.98/4.17 % (18910)------------------------------ 26.98/4.17 % (18910)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 26.98/4.17 % (18910)Termination reason: Time limit 26.98/4.17 % (18910)Termination phase: Saturation 26.98/4.17 26.98/4.17 % (18910)Memory used [KB]: 45670 26.98/4.17 % (18910)Time elapsed: 1.300 s 26.98/4.17 % (18910)------------------------------ 26.98/4.17 % (18910)------------------------------ 27.59/4.24 % (18911)lrs+1_7_av=off:irw=on:lcm=predicate:lma=on:nm=4:newcnf=on:nwc=1:stl=30:sos=all:sp=occurrence:updr=off_36 on theBenchmark 28.12/4.37 % (18902)Time limit reached! 28.12/4.37 % (18902)------------------------------ 28.12/4.37 % (18902)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 28.12/4.37 % (18902)Termination reason: Time limit 28.12/4.37 % (18902)Termination phase: Saturation 28.12/4.37 28.12/4.37 % (18902)Memory used [KB]: 61022 28.12/4.37 % (18902)Time elapsed: 3.100 s 28.12/4.37 % (18902)------------------------------ 28.12/4.37 % (18902)------------------------------ 28.91/4.41 % (18912)ott-3_3_av=off:cond=fast:fde=none:lcm=reverse:nm=6:nwc=1:sd=5:ss=axioms:st=2.0:sos=on:sp=reverse_arity:updr=off:uhcvi=on_88 on theBenchmark 31.72/4.73 % (18905)Time limit reached! 31.72/4.73 % (18905)------------------------------ 31.72/4.73 % (18905)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 31.72/4.73 % (18905)Termination reason: Time limit 31.72/4.73 % (18905)Termination phase: Saturation 31.72/4.73 31.72/4.73 % (18905)Memory used [KB]: 65244 31.72/4.73 % (18905)Time elapsed: 3.100 s 31.72/4.73 % (18905)------------------------------ 31.72/4.73 % (18905)------------------------------ 31.72/4.81 % (18913)lrs+1011_3:2_av=off:er=known:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=2:ss=axioms:st=3.0:urr=on:updr=off_24 on theBenchmark 33.72/5.10 % (18909)Time limit reached! 33.72/5.10 % (18909)------------------------------ 33.72/5.10 % (18909)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 33.72/5.10 % (18909)Termination reason: Time limit 33.72/5.10 % (18909)Termination phase: Saturation 33.72/5.10 33.72/5.10 % (18909)Memory used [KB]: 52323 33.72/5.10 % (18909)Time elapsed: 2.400 s 33.72/5.10 % (18909)------------------------------ 33.72/5.10 % (18909)------------------------------ 34.41/5.19 % (18914)ott+4_4:1_acc=model:add=large:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=preordered:bs=unit_only:ccuc=first:cond=on:gs=on:nm=32:nwc=1.5:sac=on:urr=on:updr=off_13 on theBenchmark 48.04/6.95 % (18914)Time limit reached! 48.04/6.95 % (18914)------------------------------ 48.04/6.95 % (18914)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 48.04/6.95 % (18914)Termination reason: Time limit 48.04/6.95 % (18914)Termination phase: Saturation 48.04/6.95 48.04/6.95 % (18914)Memory used [KB]: 53986 48.04/6.95 % (18914)Time elapsed: 1.800 s 48.04/6.95 % (18914)------------------------------ 48.04/6.95 % (18914)------------------------------ 48.86/7.01 % (18915)dis+1010_3:2_acc=on:afr=on:afp=1000:afq=1.2:amm=sco:bs=on:ccuc=first:fde=none:nm=0:nwc=4:sd=3:ss=axioms:st=5.0:urr=ec_only_75 on theBenchmark 48.86/7.09 % (18898)Refutation found. Thanks to Tanya! 48.86/7.09 % SZS status Theorem for theBenchmark 48.86/7.09 % SZS output start Proof for theBenchmark 48.86/7.09 fof(f183685,plain,( 48.86/7.09 $false), 48.86/7.09 inference(unit_resulting_resolution,[],[f123653,f16875,f25670,f21957])). 48.86/7.09 fof(f21957,plain,( 48.86/7.09 ( ! [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))) )), 48.86/7.09 inference(cnf_transformation,[],[f13294])). 48.86/7.09 fof(f13294,plain,( 48.86/7.09 ! [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))))), 48.86/7.09 inference(flattening,[],[f13293])). 48.86/7.09 fof(f13293,plain,( 48.86/7.09 ! [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))))), 48.86/7.09 inference(ennf_transformation,[],[f8965])). 48.86/7.09 fof(f8965,plain,( 48.86/7.09 ! [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))))), 48.86/7.09 inference(rectify,[],[f3297])). 48.86/7.09 fof(f3297,axiom,( 48.86/7.09 ! [X41,X16,X6,X8] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X8),hAPP(c_Set_Oimage(X6,X8,X16),X41))) => (c_Fun_Oinj__on(X6,X8,X16,X41) => hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X41))))), 48.86/7.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__imageD)). 48.86/7.09 fof(f25670,plain,( 48.86/7.09 ( ! [X0] : (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X0))) )), 48.86/7.09 inference(unit_resulting_resolution,[],[f16799,f18334])). 48.86/7.09 fof(f18334,plain,( 48.86/7.09 ( ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1)) )), 48.86/7.09 inference(cnf_transformation,[],[f10819])). 48.86/7.09 fof(f10819,plain,( 48.86/7.09 ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) | ~class_Finite__Set_Ofinite(X1))), 48.86/7.09 inference(ennf_transformation,[],[f6420])). 48.86/7.09 fof(f6420,plain,( 48.86/7.09 ! [X0,X1] : (class_Finite__Set_Ofinite(X1) => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)))), 48.86/7.09 inference(rectify,[],[f3807])). 48.86/7.09 fof(f3807,axiom,( 48.86/7.09 ! [X41,X8] : (class_Finite__Set_Ofinite(X8) => hBOOL(hAPP(c_Finite__Set_Ofinite(X8),X41)))), 48.86/7.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__code)). 48.86/7.09 fof(f16799,plain,( 48.86/7.09 class_Finite__Set_Ofinite(tc_HOL_Obool)), 48.86/7.09 inference(cnf_transformation,[],[f3555])). 48.86/7.09 fof(f3555,axiom,( 48.86/7.09 class_Finite__Set_Ofinite(tc_HOL_Obool)), 48.86/7.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Finite__Set_Ofinite)). 48.86/7.09 fof(f16875,plain,( 48.86/7.09 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 48.86/7.09 inference(cnf_transformation,[],[f1818])). 48.86/7.09 fof(f1818,axiom,( 48.86/7.09 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool))))), 48.86/7.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_infinite__UNIV__int)). 48.86/7.09 fof(f123653,plain,( 48.86/7.09 ( ! [X2565,X2567,X2564] : (c_Fun_Oinj__on(X2565,X2567,c_fequal,X2564)) )), 48.86/7.09 inference(subsumption_resolution,[],[f123652,f22166])). 48.86/7.09 fof(f22166,plain,( 48.86/7.09 ( ! [X2,X0,X3,X1] : (sK400(X0,X1,X3) != sK401(X0,X1,X3) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 48.86/7.09 inference(cnf_transformation,[],[f15966])). 48.86/7.09 fof(f15966,plain,( 48.86/7.09 ! [X0,X1,X2,X3] : ((c_Fun_Oinj__on(X3,X2,X1,X0) | ((sK400(X0,X1,X3) != sK401(X0,X1,X3) & hAPP(X1,sK400(X0,X1,X3)) = hAPP(X1,sK401(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK401(X0,X1,X3)),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK400(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)))), 48.86/7.09 inference(skolemisation,[status(esa),new_symbols(skolem,[sK400,sK401])],[f15963,f15965,f15964])). 48.86/7.09 fof(f15964,plain,( 48.86/7.09 ! [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] : (sK400(X0,X1,X3) != X5 & hAPP(X1,X5) = hAPP(X1,sK400(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) & hBOOL(hAPP(hAPP(c_member(X3),sK400(X0,X1,X3)),X0))))), 48.86/7.09 introduced(choice_axiom,[])). 48.86/7.09 fof(f15965,plain,( 48.86/7.09 ( ! [X4] : (! [X3,X1,X0] : (? [X5] : (X4 != X5 & hAPP(X1,X4) = hAPP(X1,X5) & hBOOL(hAPP(hAPP(c_member(X3),X5),X0))) => (sK401(X0,X1,X3) != X4 & hAPP(X1,X4) = hAPP(X1,sK401(X0,X1,X3)) & hBOOL(hAPP(hAPP(c_member(X3),sK401(X0,X1,X3)),X0))))) )), 48.86/7.09 introduced(choice_axiom,[])). 48.86/7.09 fof(f15963,plain,( 48.86/7.09 ! [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)))), 48.86/7.09 inference(rectify,[],[f15962])). 48.86/7.09 fof(f15962,plain,( 48.86/7.09 ! [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)))), 48.86/7.09 inference(nnf_transformation,[],[f13469])). 48.86/7.09 fof(f13469,plain,( 48.86/7.09 ! [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))))), 48.86/7.09 inference(flattening,[],[f13468])). 48.86/7.09 fof(f13468,plain,( 48.86/7.09 ! [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))))), 48.86/7.09 inference(ennf_transformation,[],[f9112])). 48.86/7.09 fof(f9112,plain,( 48.86/7.09 ! [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))))), 48.86/7.09 inference(rectify,[],[f2404])). 48.86/7.09 fof(f2404,axiom,( 48.86/7.09 ! [X41,X16,X6,X8] : (c_Fun_Oinj__on(X8,X6,X16,X41) <=> ! [X35] : (hBOOL(hAPP(hAPP(c_member(X8),X35),X41)) => ! [X101] : (hBOOL(hAPP(hAPP(c_member(X8),X101),X41)) => (hAPP(X16,X35) = hAPP(X16,X101) => X35 = X101))))), 48.86/7.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_inj__on__def)). 48.86/7.09 fof(f123652,plain,( 48.86/7.09 ( ! [X2565,X2567,X2564] : (sK400(X2564,c_fequal,X2565) = sK401(X2564,c_fequal,X2565) | c_Fun_Oinj__on(X2565,X2567,c_fequal,X2564)) )), 48.86/7.09 inference(forward_demodulation,[],[f122582,f17494])). 48.86/7.09 fof(f17494,plain,( 48.86/7.09 ( ! [X0,X1] : (c_Hilbert__Choice_OEps(X1,hAPP(c_fequal,X0)) = X0) )), 48.86/7.09 inference(cnf_transformation,[],[f5703])). 48.86/7.09 fof(f5703,plain,( 48.86/7.09 ! [X0,X1] : c_Hilbert__Choice_OEps(X1,hAPP(c_fequal,X0)) = X0), 48.86/7.09 inference(rectify,[],[f4986])). 48.86/7.09 fof(f4986,axiom,( 48.86/7.09 ! [X3,X8] : c_Hilbert__Choice_OEps(X8,hAPP(c_fequal,X3)) = X3), 48.86/7.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_some__sym__eq__trivial)). 48.86/7.09 fof(f122582,plain,( 48.86/7.09 ( ! [X2565,X2567,X2564,X2566] : (c_Hilbert__Choice_OEps(X2566,hAPP(c_fequal,sK400(X2564,c_fequal,X2565))) = sK401(X2564,c_fequal,X2565) | c_Fun_Oinj__on(X2565,X2567,c_fequal,X2564)) )), 48.86/7.09 inference(superposition,[],[f17494,f22165])). 48.86/7.09 fof(f22165,plain,( 48.86/7.09 ( ! [X2,X0,X3,X1] : (hAPP(X1,sK400(X0,X1,X3)) = hAPP(X1,sK401(X0,X1,X3)) | c_Fun_Oinj__on(X3,X2,X1,X0)) )), 48.86/7.09 inference(cnf_transformation,[],[f15966])). 48.86/7.09 % SZS output end Proof for theBenchmark 48.86/7.09 % (18898)------------------------------ 48.86/7.09 % (18898)Version: Vampire 4.4.0 (commit 4f83a51 on 2019-08-17 00:32:28 +0100) 48.86/7.09 % (18898)Termination reason: Refutation 48.86/7.09 48.86/7.09 % (18898)Memory used [KB]: 126010 48.86/7.09 % (18898)Time elapsed: 6.272 s 48.86/7.09 % (18898)------------------------------ 48.86/7.09 % (18898)------------------------------ 49.63/7.10 % (18893)Success in time 6.723 s 49.63/7.12 EOF