0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n005.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 13:37:03 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 This is a THF_ problem 0.13/0.34 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.34 Running in auto input_syntax mode. Trying TPTP 0.21/0.39 % (19592)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark 0.21/0.39 % (19608)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark 0.21/0.40 % (19587)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark 0.21/0.40 % (19586)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_2 on theBenchmark 0.21/0.40 % (19593)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_40 on theBenchmark 0.21/0.40 % (19588)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off:thsq=on_14 on theBenchmark 0.21/0.40 % (19591)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 0.21/0.40 % (19605)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark 0.21/0.41 % (19590)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark 0.21/0.41 % (19592)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.41 % (19597)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on:thsq=on_1 on theBenchmark 0.21/0.41 % (19600)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_30 on theBenchmark 0.21/0.41 % (19608)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.42 % (19585)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_3 on theBenchmark 0.21/0.42 % (19610)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_186 on theBenchmark 0.21/0.42 % (19589)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_3 on theBenchmark 0.21/0.42 % (19612)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=on:cnfonf=eager:afq=1.0:fde=all: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:thsq=on_50 on theBenchmark 0.21/0.42 % (19611)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.21/0.42 % (19583)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark 0.21/0.43 % (19592)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.43 % (19600)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.43 % (19587)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.43 % (19584)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_2 on theBenchmark 0.21/0.43 % (19606)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_50 on theBenchmark 0.21/0.43 % (19609)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off:thsq=on_300 on theBenchmark 0.21/0.43 % (19604)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_30 on theBenchmark 0.21/0.43 % (19602)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all:thsq=on_8 on theBenchmark 0.21/0.43 % (19603)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on:thsq=on_41 on theBenchmark 0.21/0.43 % (19590)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.44 % (19601)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence:thsq=on_6 on theBenchmark 0.21/0.44 % (19596)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark 0.21/0.44 % (19594)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager: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:thsq=on_2 on theBenchmark 0.21/0.44 % (19595)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark 0.21/0.44 % (19598)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity:thsq=on_7 on theBenchmark 0.21/0.44 % (19607)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager: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:thsq=on_130 on theBenchmark 0.21/0.44 % (19589)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.45 % (19605)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.45 % (19585)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.46 % (19591)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.46 % (19606)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.46 % (19597)First to succeed. 0.21/0.46 % (19599)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence:thsq=on_300 on theBenchmark 0.21/0.47 % (19597)Refutation found. Thanks to Tanya! 0.21/0.47 % SZS status Theorem for theBenchmark 0.21/0.47 % SZS output start Proof for theBenchmark 0.21/0.47 thf(type_def_6, type, set_set_b: $tType). 0.21/0.47 thf(type_def_7, type, set_b: $tType). 0.21/0.47 thf(type_def_8, type, b: $tType). 0.21/0.47 thf(type_def_9, type, a: $tType). 0.21/0.47 thf(type_def_10, type, >: ($tType * $tType) > $tType). 0.21/0.47 thf(func_def_11, type, bij_betw_b_b: (b > b) > set_b > set_b > $o). 0.21/0.47 thf(func_def_12, type, inj_on_b_set_b: (b > set_b) > set_b > $o). 0.21/0.47 thf(func_def_13, type, inj_on_b_b: (b > b) > set_b > $o). 0.21/0.47 thf(func_def_14, type, minus_minus_set_b: set_b > set_b > set_b). 0.21/0.47 thf(func_def_15, type, hilbert_Eps_b: (b > $o) > b). 0.21/0.47 thf(func_def_16, type, hilbert_inv_into_b_b: set_b > (b > b) > b > b). 0.21/0.47 thf(func_def_17, type, bot_bot_b_o: b > $o). 0.21/0.47 thf(func_def_18, type, bot_bot_set_b: set_b). 0.21/0.47 thf(func_def_19, type, top_top_b_o: b > $o). 0.21/0.47 thf(func_def_20, type, top_top_set_b: set_b). 0.21/0.47 thf(func_def_21, type, collect_b: (b > $o) > set_b). 0.21/0.47 thf(func_def_22, type, image_set_b_set_b: (set_b > set_b) > set_set_b > set_set_b). 0.21/0.47 thf(func_def_23, type, image_b_b: (b > b) > set_b > set_b). 0.21/0.47 thf(func_def_24, type, insert_b: b > set_b > set_b). 0.21/0.47 thf(func_def_25, type, is_empty_b: set_b > $o). 0.21/0.47 thf(func_def_26, type, is_singleton_b: set_b > $o). 0.21/0.47 thf(func_def_27, type, remove_b: b > set_b > set_b). 0.21/0.47 thf(func_def_28, type, the_elem_b: set_b > b). 0.21/0.47 thf(func_def_29, type, member_set_b: set_b > set_set_b > $o). 0.21/0.47 thf(func_def_30, type, member_b: b > set_b > $o). 0.21/0.47 thf(func_def_31, type, p: a > $o). 0.21/0.47 thf(func_def_32, type, q: a > b > $o). 0.21/0.47 thf(func_def_34, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 0.21/0.47 thf(func_def_37, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 0.21/0.47 thf(func_def_38, type, vNOT: $o > $o). 0.21/0.47 thf(func_def_39, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 0.21/0.47 thf(func_def_40, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 0.21/0.47 thf(func_def_41, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 0.21/0.47 thf(func_def_42, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 0.21/0.47 thf(func_def_43, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 0.21/0.47 thf(func_def_44, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 0.21/0.47 thf(func_def_45, type, vAND: $o > $o > $o). 0.21/0.47 thf(func_def_46, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 0.21/0.47 thf(func_def_47, type, vOR: $o > $o > $o). 0.21/0.47 thf(func_def_48, type, vIMP: $o > $o > $o). 0.21/0.47 thf(func_def_49, type, sK0: a). 0.21/0.47 thf(func_def_50, type, sK1: a > b). 0.21/0.47 thf(func_def_51, type, sK2: (b > $o) > (b > $o) > b). 0.21/0.47 thf(func_def_52, type, sK3: b > (b > $o) > b). 0.21/0.47 thf(func_def_53, type, sK4: (b > $o) > (b > $o) > b). 0.21/0.47 thf(func_def_54, type, sK5: b > (b > $o) > b). 0.21/0.47 thf(func_def_55, type, sK6: (b > $o) > (b > $o) > b). 0.21/0.47 thf(func_def_56, type, sK7: set_b > b > set_b). 0.21/0.47 thf(func_def_57, type, sK8: set_b > b > set_b). 0.21/0.47 thf(func_def_58, type, sK9: set_b > b). 0.21/0.47 thf(f460,plain,( 0.21/0.47 $false), 0.21/0.47 inference(global_subsumption,[],[f376,f459])). 0.21/0.47 thf(f459,plain,( 0.21/0.47 ($true != (p @ sK0))), 0.21/0.47 inference(trivial_inequality_removal,[],[f432])). 0.21/0.47 thf(f432,plain,( 0.21/0.47 ($true = $false) | ($true != (p @ sK0))), 0.21/0.47 inference(superposition,[],[f427,f377])). 0.21/0.47 thf(f377,plain,( 0.21/0.47 ( ! [X0 : a] : (($true = ((q @ X0) @ (sK1 @ X0))) | ($true != (p @ X0))) )), 0.21/0.47 inference(cnf_transformation,[],[f357])). 0.21/0.47 thf(f357,plain,( 0.21/0.47 ! [X0 : a] : (($true = ((q @ X0) @ (sK1 @ X0))) | ($true != (p @ X0)))), 0.21/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f321,f356])). 0.21/0.47 thf(f356,plain,( 0.21/0.47 ! [X0 : a] : (? [X1 : b] : ($true = ((q @ X0) @ X1)) => ($true = ((q @ X0) @ (sK1 @ X0))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f321,plain,( 0.21/0.47 ! [X0 : a] : (? [X1 : b] : ($true = ((q @ X0) @ X1)) | ($true != (p @ X0)))), 0.21/0.47 inference(ennf_transformation,[],[f118])). 0.21/0.47 thf(f118,plain,( 0.21/0.47 ! [X0 : a] : (($true = (p @ X0)) => ? [X1 : b] : ($true = ((q @ X0) @ X1)))), 0.21/0.47 inference(fool_elimination,[],[f117])). 0.21/0.47 thf(f117,plain,( 0.21/0.47 ! [X0 : a] : ((p @ X0) => ? [X1 : b] : ((q @ X0) @ X1))), 0.21/0.47 inference(rectify,[],[f42])). 0.21/0.47 thf(f42,axiom,( 0.21/0.47 ! [X13 : a] : ((p @ X13) => ? [X29 : b] : ((q @ X13) @ X29))), 0.21/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 0.21/0.47 thf(f427,plain,( 0.21/0.47 ( ! [X1 : b] : (($false = ((q @ sK0) @ X1))) )), 0.21/0.47 inference(global_subsumption,[],[f375,f422])). 0.21/0.47 thf(f422,plain,( 0.21/0.47 ( ! [X1 : b] : (($false = ((q @ sK0) @ X1)) | ($true = ((q @ sK0) @ (hilbert_Eps_b @ (q @ sK0))))) )), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f375,plain,( 0.21/0.47 ($true != ((q @ sK0) @ (hilbert_Eps_b @ (q @ sK0))))), 0.21/0.47 inference(cnf_transformation,[],[f355])). 0.21/0.47 thf(f355,plain,( 0.21/0.47 ($true = (p @ sK0)) & ($true != ((q @ sK0) @ (hilbert_Eps_b @ (q @ sK0))))), 0.21/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f320,f354])). 0.21/0.47 thf(f354,plain,( 0.21/0.47 ? [X0 : a] : (($true = (p @ X0)) & ($true != ((q @ X0) @ (hilbert_Eps_b @ (q @ X0))))) => (($true = (p @ sK0)) & ($true != ((q @ sK0) @ (hilbert_Eps_b @ (q @ sK0)))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f320,plain,( 0.21/0.47 ? [X0 : a] : (($true = (p @ X0)) & ($true != ((q @ X0) @ (hilbert_Eps_b @ (q @ X0)))))), 0.21/0.47 inference(ennf_transformation,[],[f309])). 0.21/0.47 thf(f309,plain,( 0.21/0.47 ~! [X0 : a] : (($true != (p @ X0)) | ($true = ((q @ X0) @ (hilbert_Eps_b @ (q @ X0)))))), 0.21/0.47 inference(flattening,[],[f116])). 0.21/0.47 thf(f116,plain,( 0.21/0.47 ~! [X0 : a] : (~($true = (p @ X0)) | ($true = ((q @ X0) @ (hilbert_Eps_b @ (q @ X0)))))), 0.21/0.47 inference(fool_elimination,[],[f115])). 0.21/0.47 thf(f115,plain,( 0.21/0.47 ~! [X0 : a] : (~(p @ X0) | ((q @ X0) @ (hilbert_Eps_b @ (q @ X0))))), 0.21/0.47 inference(rectify,[],[f71])). 0.21/0.47 thf(f71,negated_conjecture,( 0.21/0.47 ~! [X4 : a] : (~(p @ X4) | ((q @ X4) @ (hilbert_Eps_b @ (q @ X4))))), 0.21/0.47 inference(negated_conjecture,[],[f70])). 0.21/0.47 thf(f70,conjecture,( 0.21/0.47 ! [X4 : a] : (~(p @ X4) | ((q @ X4) @ (hilbert_Eps_b @ (q @ X4))))), 0.21/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 0.21/0.47 thf(f376,plain,( 0.21/0.47 ($true = (p @ sK0))), 0.21/0.47 inference(cnf_transformation,[],[f355])). 0.21/0.47 % SZS output end Proof for theBenchmark 0.21/0.47 % (19597)------------------------------ 0.21/0.47 % (19597)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.47 % (19597)Termination reason: Refutation 0.21/0.47 0.21/0.47 % (19597)Memory used [KB]: 6140 0.21/0.47 % (19597)Time elapsed: 0.075 s 0.21/0.47 % (19597)------------------------------ 0.21/0.47 % (19597)------------------------------ 0.21/0.47 % (19582)Success in time 0.121 s 0.21/0.47 EOF