0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 08:57:43 EDT 2020 0.13/0.35 % CPUTime : 0.22/0.55 % (20296)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 0.22/0.56 % (20312)lrs+11_3_av=off:bce=on:cond=fast:ep=R:lcm=reverse:lma=on:newcnf=on:nwc=1.3:stl=30:sd=3:ss=axioms:st=1.2:sos=on:sp=occurrence:uhcvi=on_2 on theBenchmark 0.22/0.56 % (20305)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_223 on theBenchmark 0.22/0.56 % (20286)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 0.22/0.56 % (20284)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 0.22/0.56 % (20297)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 0.22/0.56 % (20287)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 0.22/0.56 % (20288)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 0.22/0.56 % (20289)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 0.22/0.57 % (20307)dis-11_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_1 on theBenchmark 0.22/0.57 % (20304)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 0.22/0.58 % (20291)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 0.22/0.58 % (20309)lrs+1_1_aac=none:acc=model:add=large:afp=100000:afq=1.2:anc=none:bd=off:bs=on:bsr=on:ccuc=first:cond=on:fde=unused:irw=on:nm=2:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:uhcvi=on_11 on theBenchmark 0.22/0.58 % (20298)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 0.22/0.58 % (20285)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 0.22/0.58 % (20299)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 0.22/0.58 % (20308)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_91 on theBenchmark 0.22/0.58 % (20290)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 0.22/0.58 % (20293)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 0.22/0.58 % (20310)lrs-4_5:1_add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:bs=unit_only:bsr=on:irw=on:lcm=reverse:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:updr=off_6 on theBenchmark 0.22/0.59 % (20292)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_66 on theBenchmark 1.39/0.59 % (20302)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 1.39/0.59 % (20300)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 1.39/0.59 % (20311)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 1.39/0.59 % (20306)dis+1010_4_acc=on:afr=on:afp=1000:afq=2.0:anc=none:bd=off:bs=unit_only:bsr=on:ccuc=small_ones:cond=fast:fsr=off:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=2.5:nicw=on:sd=3:ss=axioms:st=3.0:sac=on:urr=ec_only:updr=off:uhcvi=on_83 on theBenchmark 1.39/0.59 % (20283)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 1.39/0.60 % (20294)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 1.39/0.60 % (20303)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 1.39/0.60 % (20301)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 1.39/0.61 % (20295)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 3.59/0.88 % (20307)Time limit reached! 3.59/0.88 % (20307)------------------------------ 3.59/0.88 % (20307)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.59/0.88 % (20307)Termination reason: Time limit 3.59/0.88 3.59/0.88 % (20307)Memory used [KB]: 15223 3.59/0.88 % (20307)Time elapsed: 0.420 s 3.59/0.88 % (20307)------------------------------ 3.59/0.88 % (20307)------------------------------ 3.59/0.90 % (20285)Time limit reached! 3.59/0.90 % (20285)------------------------------ 3.59/0.90 % (20285)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.59/0.90 % (20285)Termination reason: Time limit 3.59/0.90 3.59/0.90 % (20285)Memory used [KB]: 9722 3.59/0.90 % (20285)Time elapsed: 0.441 s 3.59/0.90 % (20285)------------------------------ 3.59/0.90 % (20285)------------------------------ 4.18/0.96 % (20312)Time limit reached! 4.18/0.96 % (20312)------------------------------ 4.18/0.96 % (20312)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.18/0.97 % (20312)Termination reason: Time limit 4.18/0.97 % (20312)Termination phase: Saturation 4.18/0.97 4.18/0.97 % (20312)Memory used [KB]: 4861 4.18/0.97 % (20312)Time elapsed: 0.500 s 4.18/0.97 % (20312)------------------------------ 4.18/0.97 % (20312)------------------------------ 4.18/0.98 % (20297)Time limit reached! 4.18/0.98 % (20297)------------------------------ 4.18/0.98 % (20297)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.18/0.98 % (20297)Termination reason: Time limit 4.18/0.98 4.18/0.98 % (20297)Memory used [KB]: 7547 4.18/0.98 % (20297)Time elapsed: 0.505 s 4.18/0.98 % (20297)------------------------------ 4.18/0.98 % (20297)------------------------------ 4.18/1.00 % (20289)Time limit reached! 4.18/1.00 % (20289)------------------------------ 4.18/1.00 % (20289)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.18/1.00 % (20289)Termination reason: Time limit 4.18/1.00 4.18/1.00 % (20289)Memory used [KB]: 17782 4.18/1.00 % (20289)Time elapsed: 0.515 s 4.18/1.00 % (20289)------------------------------ 4.18/1.00 % (20289)------------------------------ 4.18/1.01 % (20313)ott+1010_8:1_add=off:afp=4000:afq=1.4:amm=off:anc=all:bd=off:bsr=on:fsr=off:fde=unused:irw=on:lma=on:nwc=4:nicw=on:sac=on:sp=reverse_arity:urr=on:updr=off:uhcvi=on_239 on theBenchmark 4.84/1.04 % (20314)dis+1010_1_acc=model:add=large:afr=on:amm=off:anc=none:bd=off:bsr=on:ccuc=small_ones:gs=on:gsem=on:nm=16:nwc=2:urr=ec_only:updr=off_155 on theBenchmark 5.21/1.09 % (20290)Time limit reached! 5.21/1.09 % (20290)------------------------------ 5.21/1.09 % (20290)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.21/1.09 % (20290)Termination reason: Time limit 5.21/1.09 5.21/1.09 % (20290)Memory used [KB]: 7164 5.21/1.09 % (20290)Time elapsed: 0.627 s 5.21/1.09 % (20290)------------------------------ 5.21/1.09 % (20290)------------------------------ 5.21/1.10 % (20315)lrs+11_2:1_av=off:bsr=on:gs=on:gsem=on:irw=on:lma=on:lwlo=on:nm=16:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sp=reverse_arity_4 on theBenchmark 5.21/1.13 % (20316)lrs-1_14_add=off:afr=on:afp=40000:afq=1.4:amm=sco:anc=none:bd=off:br=off:cond=fast:fde=unused:gs=on:lcm=reverse:lma=on:nwc=1:stl=30:sos=on:urr=on:updr=off_25 on theBenchmark 5.21/1.13 % (20317)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_171 on theBenchmark 6.09/1.22 % (20293)Refutation found. Thanks to Tanya! 6.09/1.22 % SZS status Theorem for theBenchmark 6.09/1.22 % SZS output start Proof for theBenchmark 6.09/1.22 fof(f6686,plain,( 6.09/1.22 $false), 6.09/1.22 inference(avatar_sat_refutation,[],[f2794,f2835,f2860,f6683,f6685])). 6.09/1.22 fof(f6685,plain,( 6.09/1.22 ~spl128_35), 6.09/1.22 inference(avatar_contradiction_clause,[],[f6684])). 6.09/1.22 fof(f6684,plain,( 6.09/1.22 $false | ~spl128_35), 6.09/1.22 inference(unit_resulting_resolution,[],[f1828,f6682,f2730])). 6.09/1.22 fof(f2730,plain,( 6.09/1.22 ( ! [X0,X3,X1] : (~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X0) | ~sP99(X3,X0)) )), 6.09/1.22 inference(general_splitting,[],[f2118,f2729_D])). 6.09/1.22 fof(f2729,plain,( 6.09/1.22 ( ! [X2,X0,X3] : (hBOOL(hAPP(X0,X2)) | ~hBOOL(hAPP(X3,X2)) | sP99(X3,X0)) )), 6.09/1.22 inference(cnf_transformation,[],[f2729_D])). 6.09/1.22 fof(f2729_D,plain,( 6.09/1.22 ( ! [X0,X3] : (( ! [X2] : (hBOOL(hAPP(X0,X2)) | ~hBOOL(hAPP(X3,X2))) ) <=> ~sP99(X3,X0)) )), 6.09/1.22 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP99])])). 6.09/1.22 fof(f2118,plain,( 6.09/1.22 ( ! [X2,X0,X3,X1] : (hBOOL(hAPP(X0,X2)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X0) | ~hBOOL(hAPP(X3,X2))) )), 6.09/1.22 inference(cnf_transformation,[],[f1213])). 6.09/1.22 fof(f1213,plain,( 6.09/1.22 ! [X0,X1,X2,X3] : (hBOOL(hAPP(X0,X2)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X0) | ~hBOOL(hAPP(X3,X2)))), 6.09/1.22 inference(flattening,[],[f1212])). 6.09/1.22 fof(f1212,plain,( 6.09/1.22 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(X0,X2)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X0)) | ~hBOOL(hAPP(X3,X2)))), 6.09/1.22 inference(ennf_transformation,[],[f770])). 6.09/1.22 fof(f770,plain,( 6.09/1.22 ! [X0,X1,X2,X3] : (hBOOL(hAPP(X3,X2)) => (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X0) => hBOOL(hAPP(X0,X2))))), 6.09/1.22 inference(rectify,[],[f260])). 6.09/1.22 fof(f260,axiom,( 6.09/1.22 ! [X52,X5,X11,X31] : (hBOOL(hAPP(X31,X11)) => (c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X31,X52) => hBOOL(hAPP(X52,X11))))), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rev__predicate1D)). 6.09/1.22 fof(f6682,plain,( 6.09/1.22 sP99(c_Arrow__Order__Mirabelle_OProf,c_Arrow__Order__Mirabelle_OProf) | ~spl128_35), 6.09/1.22 inference(avatar_component_clause,[],[f6680])). 6.09/1.22 fof(f6680,plain,( 6.09/1.22 spl128_35 <=> sP99(c_Arrow__Order__Mirabelle_OProf,c_Arrow__Order__Mirabelle_OProf)), 6.09/1.22 introduced(avatar_definition,[new_symbols(naming,[spl128_35])])). 6.09/1.22 fof(f1828,plain,( 6.09/1.22 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,X0)) )), 6.09/1.22 inference(cnf_transformation,[],[f543])). 6.09/1.22 fof(f543,plain,( 6.09/1.22 ! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,X0)), 6.09/1.22 inference(rectify,[],[f253])). 6.09/1.22 fof(f253,axiom,( 6.09/1.22 ! [X14,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X14,X14)), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subset__refl)). 6.09/1.22 fof(f6683,plain,( 6.09/1.22 ~spl128_1 | spl128_35 | spl128_9), 6.09/1.22 inference(avatar_split_clause,[],[f6674,f2857,f6680,f2791])). 6.09/1.22 fof(f2791,plain,( 6.09/1.22 spl128_1 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_L),c_Arrow__Order__Mirabelle_OLin))), 6.09/1.22 introduced(avatar_definition,[new_symbols(naming,[spl128_1])])). 6.09/1.22 fof(f2857,plain,( 6.09/1.22 spl128_9 <=> hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)))), 6.09/1.22 introduced(avatar_definition,[new_symbols(naming,[spl128_9])])). 6.09/1.22 fof(f6674,plain,( 6.09/1.22 sP99(c_Arrow__Order__Mirabelle_OProf,c_Arrow__Order__Mirabelle_OProf) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_L),c_Arrow__Order__Mirabelle_OLin)) | spl128_9), 6.09/1.22 inference(superposition,[],[f5886,f1817])). 6.09/1.22 fof(f1817,plain,( 6.09/1.22 c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin))), 6.09/1.22 inference(cnf_transformation,[],[f471])). 6.09/1.22 fof(f471,axiom,( 6.09/1.22 c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin))), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Prof__def)). 6.09/1.22 fof(f5886,plain,( 6.09/1.22 ( ! [X99,X97,X98,X96] : (sP99(c_FuncSet_OPi(X96,X97,X98,c_COMBK(tc_fun(X97,tc_HOL_Obool),X96,X99)),c_Arrow__Order__Mirabelle_OProf) | ~hBOOL(hAPP(hAPP(c_member(X97),v_L),X99))) ) | spl128_9), 6.09/1.22 inference(forward_demodulation,[],[f5875,f2050])). 6.09/1.22 fof(f2050,plain,( 6.09/1.22 ( ! [X2,X0,X3,X1] : (hAPP(c_COMBK(X3,X2,X1),X0) = X1) )), 6.09/1.22 inference(cnf_transformation,[],[f716])). 6.09/1.22 fof(f716,plain,( 6.09/1.22 ! [X0,X1,X2,X3] : hAPP(c_COMBK(X3,X2,X1),X0) = X1), 6.09/1.22 inference(rectify,[],[f234])). 6.09/1.22 fof(f234,axiom,( 6.09/1.22 ! [X60,X61,X4,X5] : hAPP(c_COMBK(X5,X4,X61),X60) = X61), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1)). 6.09/1.22 fof(f5875,plain,( 6.09/1.22 ( ! [X99,X97,X98,X96] : (sP99(c_FuncSet_OPi(X96,X97,X98,c_COMBK(tc_fun(X97,tc_HOL_Obool),X96,X99)),c_Arrow__Order__Mirabelle_OProf) | ~hBOOL(hAPP(hAPP(c_member(X97),hAPP(c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L),sK63(X99,c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L),X97,X98,X96))),X99))) ) | spl128_9), 6.09/1.22 inference(resolution,[],[f3279,f2410])). 6.09/1.22 fof(f2410,plain,( 6.09/1.22 ( ! [X4,X2,X0,X3,X1] : (hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0)))) | ~hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,sK63(X0,X1,X2,X3,X4))),X0))) )), 6.09/1.22 inference(cnf_transformation,[],[f1708])). 6.09/1.22 fof(f1708,plain,( 6.09/1.22 ! [X0,X1,X2,X3,X4] : (hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0)))) | (~hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,sK63(X0,X1,X2,X3,X4))),X0)) & hBOOL(hAPP(hAPP(c_member(X4),sK63(X0,X1,X2,X3,X4)),X3))))), 6.09/1.22 inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f1394,f1707])). 6.09/1.22 fof(f1707,plain,( 6.09/1.22 ! [X4,X3,X2,X1,X0] : (? [X5] : (~hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,X5)),X0)) & hBOOL(hAPP(hAPP(c_member(X4),X5),X3))) => (~hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,sK63(X0,X1,X2,X3,X4))),X0)) & hBOOL(hAPP(hAPP(c_member(X4),sK63(X0,X1,X2,X3,X4)),X3))))), 6.09/1.22 introduced(choice_axiom,[])). 6.09/1.22 fof(f1394,plain,( 6.09/1.22 ! [X0,X1,X2,X3,X4] : (hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0)))) | ? [X5] : (~hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,X5)),X0)) & hBOOL(hAPP(hAPP(c_member(X4),X5),X3))))), 6.09/1.22 inference(ennf_transformation,[],[f941])). 6.09/1.22 fof(f941,plain,( 6.09/1.22 ! [X0,X1,X2,X3,X4] : (! [X5] : (hBOOL(hAPP(hAPP(c_member(X4),X5),X3)) => hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,X5)),X0))) => hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0)))))), 6.09/1.22 inference(rectify,[],[f20])). 6.09/1.22 fof(f20,axiom,( 6.09/1.22 ! [X16,X23,X4,X14,X5] : (! [X18] : (hBOOL(hAPP(hAPP(c_member(X5),X18),X14)) => hBOOL(hAPP(hAPP(c_member(X4),hAPP(X23,X18)),X16))) => hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X23),c_FuncSet_OPi(X5,X4,X14,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X16)))))), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_funcsetI)). 6.09/1.22 fof(f3279,plain,( 6.09/1.22 ( ! [X0,X1] : (~hBOOL(hAPP(hAPP(c_member(X0),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),X1)) | sP99(X1,c_Arrow__Order__Mirabelle_OProf)) ) | spl128_9), 6.09/1.22 inference(superposition,[],[f2938,f1977])). 6.09/1.22 fof(f1977,plain,( 6.09/1.22 ( ! [X2,X0,X1] : (hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = X0 | ~hBOOL(hAPP(hAPP(c_member(X2),X1),X0))) )), 6.09/1.22 inference(cnf_transformation,[],[f1134])). 6.09/1.22 fof(f1134,plain,( 6.09/1.22 ! [X0,X1,X2] : (hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = X0 | ~hBOOL(hAPP(hAPP(c_member(X2),X1),X0)))), 6.09/1.22 inference(ennf_transformation,[],[f680])). 6.09/1.22 fof(f680,plain,( 6.09/1.22 ! [X0,X1,X2] : (hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) => hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = X0)), 6.09/1.22 inference(rectify,[],[f340])). 6.09/1.22 fof(f340,axiom,( 6.09/1.22 ! [X14,X1,X5] : (hBOOL(hAPP(hAPP(c_member(X5),X1),X14)) => hAPP(hAPP(c_Set_Oinsert(X5),X1),X14) = X14)), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__absorb)). 6.09/1.22 fof(f2938,plain,( 6.09/1.22 ( ! [X275,X276] : (sP99(hAPP(hAPP(c_Set_Oinsert(X275),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),X276),c_Arrow__Order__Mirabelle_OProf)) ) | spl128_9), 6.09/1.22 inference(resolution,[],[f2861,f2685])). 6.09/1.22 fof(f2685,plain,( 6.09/1.22 ( ! [X2,X3,X1] : (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X2))) )), 6.09/1.22 inference(equality_resolution,[],[f2246])). 6.09/1.22 fof(f2246,plain,( 6.09/1.22 ( ! [X2,X0,X3,X1] : (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0)) | X0 != X2) )), 6.09/1.22 inference(cnf_transformation,[],[f1647])). 6.09/1.22 fof(f1647,plain,( 6.09/1.22 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(X1,X0)) | X0 = X2 | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0))) & (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0)) | (~hBOOL(hAPP(X1,X0)) & X0 != X2)))), 6.09/1.22 inference(flattening,[],[f1646])). 6.09/1.22 fof(f1646,plain,( 6.09/1.22 ! [X0,X1,X2,X3] : (((hBOOL(hAPP(X1,X0)) | X0 = X2) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0))) & (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0)) | (~hBOOL(hAPP(X1,X0)) & X0 != X2)))), 6.09/1.22 inference(nnf_transformation,[],[f843])). 6.09/1.22 fof(f843,plain,( 6.09/1.22 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(X1,X0)) | X0 = X2) <=> hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0)))), 6.09/1.22 inference(rectify,[],[f146])). 6.09/1.22 fof(f146,axiom,( 6.09/1.22 ! [X11,X14,X27,X5] : ((hBOOL(hAPP(X14,X11)) | X11 = X27) <=> hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X5),X27),X14),X11)))), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__code)). 6.09/1.22 fof(f2861,plain,( 6.09/1.22 ( ! [X0] : (~hBOOL(hAPP(X0,c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L))) | sP99(X0,c_Arrow__Order__Mirabelle_OProf)) ) | spl128_9), 6.09/1.22 inference(resolution,[],[f2859,f2729])). 6.09/1.22 fof(f2859,plain,( 6.09/1.22 ~hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L))) | spl128_9), 6.09/1.22 inference(avatar_component_clause,[],[f2857])). 6.09/1.22 fof(f2860,plain,( 6.09/1.22 ~spl128_9 | spl128_6), 6.09/1.22 inference(avatar_split_clause,[],[f2846,f2832,f2857])). 6.09/1.22 fof(f2832,plain,( 6.09/1.22 spl128_6 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf))), 6.09/1.22 introduced(avatar_definition,[new_symbols(naming,[spl128_6])])). 6.09/1.22 fof(f2846,plain,( 6.09/1.22 ~hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L))) | spl128_6), 6.09/1.22 inference(resolution,[],[f2834,f2013])). 6.09/1.22 fof(f2013,plain,( 6.09/1.22 ( ! [X2,X0,X1] : (hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | ~hBOOL(hAPP(X0,X1))) )), 6.09/1.22 inference(cnf_transformation,[],[f1547])). 6.09/1.22 fof(f1547,plain,( 6.09/1.22 ! [X0,X1,X2] : ((hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | ~hBOOL(hAPP(X0,X1))) & (hBOOL(hAPP(X0,X1)) | ~hBOOL(hAPP(hAPP(c_member(X2),X1),X0))))), 6.09/1.22 inference(nnf_transformation,[],[f702])). 6.09/1.22 fof(f702,plain,( 6.09/1.22 ! [X0,X1,X2] : (hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) <=> hBOOL(hAPP(X0,X1)))), 6.09/1.22 inference(rectify,[],[f111])). 6.09/1.22 fof(f111,axiom,( 6.09/1.22 ! [X14,X11,X5] : (hBOOL(hAPP(hAPP(c_member(X5),X11),X14)) <=> hBOOL(hAPP(X14,X11)))), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def)). 6.09/1.22 fof(f2834,plain,( 6.09/1.22 ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf)) | spl128_6), 6.09/1.22 inference(avatar_component_clause,[],[f2832])). 6.09/1.22 fof(f2835,plain,( 6.09/1.22 ~spl128_6), 6.09/1.22 inference(avatar_split_clause,[],[f1803,f2832])). 6.09/1.22 fof(f1803,plain,( 6.09/1.22 ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf))), 6.09/1.22 inference(cnf_transformation,[],[f531])). 6.09/1.22 fof(f531,plain,( 6.09/1.22 ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf))), 6.09/1.22 inference(flattening,[],[f179])). 6.09/1.22 fof(f179,negated_conjecture,( 6.09/1.22 ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf))), 6.09/1.22 inference(negated_conjecture,[],[f178])). 6.09/1.22 fof(f178,conjecture,( 6.09/1.22 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf))), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 6.09/1.22 fof(f2794,plain,( 6.09/1.22 spl128_1), 6.09/1.22 inference(avatar_split_clause,[],[f1804,f2791])). 6.09/1.22 fof(f1804,plain,( 6.09/1.22 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_L),c_Arrow__Order__Mirabelle_OLin))), 6.09/1.22 inference(cnf_transformation,[],[f307])). 6.09/1.22 fof(f307,axiom,( 6.09/1.22 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_L),c_Arrow__Order__Mirabelle_OLin))), 6.09/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 6.09/1.22 % SZS output end Proof for theBenchmark 6.09/1.22 % (20293)------------------------------ 6.09/1.22 % (20293)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.09/1.22 % (20293)Termination reason: Refutation 6.09/1.22 6.09/1.22 % (20293)Memory used [KB]: 19061 6.09/1.22 % (20293)Time elapsed: 0.727 s 6.09/1.22 % (20293)------------------------------ 6.09/1.22 % (20293)------------------------------ 6.39/1.22 % (20282)Success in time 0.851 s 6.39/1.23 EOF