0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.09 % Command : run_vampire %s %d 0.09/0.29 % Computer : n026.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1200 0.09/0.29 % WCLimit : 120 0.09/0.29 % DateTime : Tue Jul 13 13:50:59 EDT 2021 0.09/0.29 % CPUTime : 0.09/0.30 This is a THF_ problem 0.09/0.30 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.30 Running in auto input_syntax mode. Trying TPTP 0.14/0.32 % (9732)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 0.14/0.33 % (9731)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 0.14/0.33 % (9729)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 0.14/0.33 % (9728)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 0.14/0.33 % (9730)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 0.14/0.33 % (9744)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 0.14/0.33 % (9725)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 0.14/0.34 % (9726)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 0.14/0.34 % (9735)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 0.14/0.34 % (9723)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 0.14/0.35 % (9721)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 0.14/0.35 % (9727)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 0.14/0.35 % (9750)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 0.14/0.35 % (9722)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 0.14/0.35 % (9743)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 0.14/0.35 % (9724)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 0.14/0.35 % (9748)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 0.14/0.35 % (9720)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 0.14/0.36 % (9741)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 0.14/0.36 % (9734)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 0.14/0.36 % (9749)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 0.14/0.36 % (9747)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 0.14/0.36 % (9746)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 0.14/0.37 % (9745)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 0.14/0.37 % (9739)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 0.14/0.37 % (9733)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 0.14/0.37 % (9729)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.37 % (9726)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.37 % (9740)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 0.14/0.37 % (9738)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 0.14/0.37 % (9737)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 0.14/0.38 % (9736)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 0.14/0.39 % (9744)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.39 % (9728)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.14/0.39 % (9727)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.39 % (9736)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.40 % (9746)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.40 % (9724)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.40 % (9729)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.14/0.41 % (9722)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.14/0.41 % (9743)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.14/0.42 % (9735)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.14/0.42 % (9737)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.42 % (9745)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.42 % (9736)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.14/0.42 % (9733)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.14/0.44 % (9739)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.14/0.47 % (9722)Refutation not found, incomplete strategy% (9722)------------------------------ 0.14/0.47 % (9722)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.14/0.47 % (9722)Termination reason: Refutation not found, incomplete strategy 0.14/0.47 0.14/0.47 % (9722)Memory used [KB]: 11385 0.14/0.47 % (9722)Time elapsed: 0.150 s 0.14/0.47 % (9722)------------------------------ 0.14/0.47 % (9722)------------------------------ 1.51/0.52 % (9734)First to succeed. 1.51/0.52 % (9838)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence:thsq=on_75 on theBenchmark 1.62/0.54 % (9734)Refutation found. Thanks to Tanya! 1.62/0.54 % SZS status Theorem for theBenchmark 1.62/0.54 % SZS output start Proof for theBenchmark 1.62/0.54 thf(type_def_6, type, set_Pr1741234931a_real: $tType). 1.62/0.54 thf(type_def_7, type, produc1826081171a_real: $tType). 1.62/0.54 thf(type_def_8, type, set_Pr1948701895od_a_a: $tType). 1.62/0.54 thf(type_def_9, type, produc1572603623od_a_a: $tType). 1.62/0.54 thf(type_def_10, type, produc826782210l_real: $tType). 1.62/0.54 thf(type_def_11, type, produc578556564l_real: $tType). 1.62/0.54 thf(type_def_12, type, produc1286132450l_real: $tType). 1.62/0.54 thf(type_def_13, type, produc1088645164real_a: $tType). 1.62/0.54 thf(type_def_14, type, produc2096821232od_a_a: $tType). 1.62/0.54 thf(type_def_15, type, produc348734722a_real: $tType). 1.62/0.54 thf(type_def_16, type, produc1921647824od_a_a: $tType). 1.62/0.54 thf(type_def_17, type, produc1016684094_a_a_a: $tType). 1.62/0.54 thf(type_def_18, type, set_Pr147102617l_real: $tType). 1.62/0.54 thf(type_def_19, type, produc391212143l_real: $tType). 1.62/0.54 thf(type_def_20, type, produc443621487t_real: $tType). 1.62/0.54 thf(type_def_21, type, set_se1596668135od_a_a: $tType). 1.62/0.54 thf(type_def_22, type, set_Pr1928503567a_real: $tType). 1.62/0.54 thf(type_def_23, type, produc1396156303t_real: $tType). 1.62/0.54 thf(type_def_24, type, produc1232925073real_a: $tType). 1.62/0.54 thf(type_def_25, type, produc1923333543_set_a: $tType). 1.62/0.54 thf(type_def_26, type, produc957004601l_real: $tType). 1.62/0.54 thf(type_def_27, type, set_Product_prod_a_a: $tType). 1.62/0.54 thf(type_def_28, type, product_prod_a_set_a: $tType). 1.62/0.54 thf(type_def_29, type, product_prod_a_real: $tType). 1.62/0.54 thf(type_def_30, type, product_prod_real_a: $tType). 1.62/0.54 thf(type_def_31, type, set_set_real: $tType). 1.62/0.54 thf(type_def_32, type, product_prod_a_a: $tType). 1.62/0.54 thf(type_def_33, type, set_set_a: $tType). 1.62/0.54 thf(type_def_34, type, set_real: $tType). 1.62/0.54 thf(type_def_35, type, set_a: $tType). 1.62/0.54 thf(type_def_36, type, real: $tType). 1.62/0.54 thf(type_def_37, type, a: $tType). 1.62/0.54 thf(func_def_38, type, one_one_real: real). 1.62/0.54 thf(type_def_39, type, >: ($tType * $tType) > $tType). 1.62/0.54 thf(func_def_40, type, plus_p77862768l_real: produc957004601l_real > produc957004601l_real > produc957004601l_real). 1.62/0.54 thf(func_def_41, type, plus_p2005278886t_real: produc443621487t_real > produc443621487t_real > produc443621487t_real). 1.62/0.54 thf(func_def_42, type, plus_p125342128_set_a: produc1923333543_set_a > produc1923333543_set_a > produc1923333543_set_a). 1.62/0.54 thf(func_def_43, type, plus_p1243198544real_a: product_prod_real_a > product_prod_real_a > product_prod_real_a). 1.62/0.54 thf(func_def_44, type, plus_p1952869542l_real: produc391212143l_real > produc391212143l_real > produc391212143l_real). 1.62/0.54 thf(func_def_45, type, plus_p1582417306real_a: produc1232925073real_a > produc1232925073real_a > produc1232925073real_a). 1.62/0.54 thf(func_def_46, type, plus_p541014626a_real: product_prod_a_real > product_prod_a_real > product_prod_a_real). 1.62/0.54 thf(func_def_47, type, plus_p1745648536t_real: produc1396156303t_real > produc1396156303t_real > produc1396156303t_real). 1.62/0.54 thf(func_def_48, type, plus_p1265825342_set_a: product_prod_a_set_a > product_prod_a_set_a > product_prod_a_set_a). 1.62/0.54 thf(func_def_49, type, plus_p1505579230od_a_a: product_prod_a_a > product_prod_a_a > product_prod_a_a). 1.62/0.54 thf(func_def_50, type, plus_plus_real: real > real > real). 1.62/0.54 thf(func_def_51, type, plus_p1708760016l_real: set_Pr147102617l_real > set_Pr147102617l_real > set_Pr147102617l_real). 1.62/0.54 thf(func_def_52, type, plus_p130512152a_real: set_Pr1928503567a_real > set_Pr1928503567a_real > set_Pr1928503567a_real). 1.62/0.54 thf(func_def_53, type, plus_p634297534od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 1.62/0.54 thf(func_def_54, type, plus_plus_set_real: set_real > set_real > set_real). 1.62/0.54 thf(func_def_55, type, plus_p1613276318od_a_a: set_se1596668135od_a_a > set_se1596668135od_a_a > set_se1596668135od_a_a). 1.62/0.54 thf(func_def_56, type, plus_p768704801t_real: set_set_real > set_set_real > set_set_real). 1.62/0.54 thf(func_def_57, type, plus_plus_set_set_a: set_set_a > set_set_a > set_set_a). 1.62/0.54 thf(func_def_58, type, plus_plus_set_a: set_a > set_a > set_a). 1.62/0.54 thf(func_def_59, type, plus_plus_a: a > a > a). 1.62/0.54 thf(func_def_60, type, zero_z342251165l_real: produc578556564l_real). 1.62/0.54 thf(func_def_61, type, zero_z1937883107real_a: produc1088645164real_a). 1.62/0.54 thf(func_def_62, type, zero_z590476811l_real: produc826782210l_real). 1.62/0.54 thf(func_def_63, type, zero_z396988537od_a_a: produc2096821232od_a_a). 1.62/0.54 thf(func_def_64, type, zero_z659284464l_real: produc957004601l_real). 1.62/0.54 thf(func_def_65, type, zero_z1407338960real_a: product_prod_real_a). 1.62/0.54 thf(func_def_66, type, zero_z2135370393l_real: produc1286132450l_real). 1.62/0.54 thf(func_def_67, type, zero_z53797895od_a_a: produc1921647824od_a_a). 1.62/0.54 thf(func_def_68, type, zero_z705155042a_real: product_prod_a_real). 1.62/0.54 thf(func_def_69, type, zero_z950819678od_a_a: product_prod_a_a). 1.62/0.54 thf(func_def_70, type, zero_zero_real: real). 1.62/0.54 thf(func_def_71, type, zero_z257140542od_a_a: set_Product_prod_a_a). 1.62/0.54 thf(func_def_72, type, zero_zero_set_real: set_real). 1.62/0.54 thf(func_def_73, type, zero_zero_set_a: set_a). 1.62/0.54 thf(func_def_74, type, zero_zero_a: a). 1.62/0.54 thf(func_def_75, type, ord_less_real: real > real > $o). 1.62/0.54 thf(func_def_76, type, ord_le108336051od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 1.62/0.54 thf(func_def_77, type, ord_le1342644953l_real: produc957004601l_real > produc957004601l_real > $o). 1.62/0.54 thf(func_def_78, type, ord_less_eq_real: real > real > $o). 1.62/0.54 thf(func_def_79, type, ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 1.62/0.54 thf(func_def_80, type, ord_less_eq_set_real: set_real > set_real > $o). 1.62/0.54 thf(func_def_81, type, prefer1113819806a_real: set_Pr1741234931a_real > $o). 1.62/0.54 thf(func_def_82, type, prefer225425826od_a_a: set_Pr1948701895od_a_a > $o). 1.62/0.54 thf(func_def_83, type, prefer1247792113f_real: set_Pr147102617l_real > $o). 1.62/0.54 thf(func_def_84, type, prefer529818233pref_a: set_Product_prod_a_a > $o). 1.62/0.54 thf(func_def_85, type, produc1175086478l_real: produc957004601l_real > real > produc578556564l_real). 1.62/0.54 thf(func_def_86, type, produc1430099868real_a: produc957004601l_real > a > produc1088645164real_a). 1.62/0.54 thf(func_def_87, type, produc886678603a_real: product_prod_a_real > product_prod_a_real > produc1826081171a_real). 1.62/0.54 thf(func_def_88, type, produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a). 1.62/0.54 thf(func_def_89, type, produc454274172a_real: product_prod_a_a > real > produc348734722a_real). 1.62/0.54 thf(func_def_90, type, produc2061588782_a_a_a: product_prod_a_a > a > produc1016684094_a_a_a). 1.62/0.54 thf(func_def_91, type, produc1926903988l_real: real > produc957004601l_real > produc826782210l_real). 1.62/0.54 thf(func_def_92, type, produc454550562od_a_a: real > product_prod_a_a > produc2096821232od_a_a). 1.62/0.54 thf(func_def_93, type, produc705216881l_real: real > real > produc957004601l_real). 1.62/0.54 thf(func_def_94, type, produc247649703t_real: real > set_real > produc443621487t_real). 1.62/0.54 thf(func_def_95, type, produc1872317017_set_a: real > set_a > produc1923333543_set_a). 1.62/0.54 thf(func_def_96, type, product_Pair_real_a: real > a > product_prod_real_a). 1.62/0.54 thf(func_def_97, type, produc1812461223l_real: set_real > real > produc391212143l_real). 1.62/0.54 thf(func_def_98, type, produc617496131real_a: set_real > a > produc1232925073real_a). 1.62/0.54 thf(func_def_99, type, produc64206290l_real: a > produc957004601l_real > produc1286132450l_real). 1.62/0.54 thf(func_def_100, type, produc1299253312od_a_a: a > product_prod_a_a > produc1921647824od_a_a). 1.62/0.54 thf(func_def_101, type, product_Pair_a_real: a > real > product_prod_a_real). 1.62/0.54 thf(func_def_102, type, produc1391501065t_real: a > set_real > produc1396156303t_real). 1.62/0.54 thf(func_def_103, type, product_Pair_a_set_a: a > set_a > product_prod_a_set_a). 1.62/0.54 thf(func_def_104, type, product_Pair_a_a: a > a > product_prod_a_a). 1.62/0.54 thf(func_def_105, type, real_V368978776od_a_a: real > produc1572603623od_a_a > produc1572603623od_a_a). 1.62/0.54 thf(func_def_106, type, real_V195069393a_real: real > produc348734722a_real > produc348734722a_real). 1.62/0.54 thf(func_def_107, type, real_V1538726831_a_a_a: real > produc1016684094_a_a_a > produc1016684094_a_a_a). 1.62/0.54 thf(func_def_108, type, real_V1943155903od_a_a: real > produc2096821232od_a_a > produc2096821232od_a_a). 1.62/0.54 thf(func_def_109, type, real_V1139189034l_real: real > produc957004601l_real > produc957004601l_real). 1.62/0.54 thf(func_def_110, type, real_V1214981142real_a: real > product_prod_real_a > product_prod_real_a). 1.62/0.54 thf(func_def_111, type, real_V296206913od_a_a: real > produc1921647824od_a_a > produc1921647824od_a_a). 1.62/0.54 thf(func_def_112, type, real_V512797224a_real: real > product_prod_a_real > product_prod_a_real). 1.62/0.54 thf(func_def_113, type, real_V543523736od_a_a: real > product_prod_a_a > product_prod_a_a). 1.62/0.54 thf(func_def_114, type, real_V453051771R_real: real > real > real). 1.62/0.54 thf(func_def_115, type, real_V1035702895aleR_a: real > a > a). 1.62/0.54 thf(func_def_116, type, collec1300223524l_real: (produc957004601l_real > $o) > set_Pr147102617l_real). 1.62/0.54 thf(func_def_117, type, collec645855634od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a). 1.62/0.54 thf(func_def_118, type, collect_real: (real > $o) > set_real). 1.62/0.54 thf(func_def_119, type, collect_a: (a > $o) > set_a). 1.62/0.54 thf(func_def_120, type, member384820540a_real: produc1826081171a_real > set_Pr1741234931a_real > $o). 1.62/0.54 thf(func_def_121, type, member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o). 1.62/0.54 thf(func_def_122, type, member1068169442l_real: produc957004601l_real > set_Pr147102617l_real > $o). 1.62/0.54 thf(func_def_123, type, member1103263856a_real: product_prod_a_real > set_Pr1928503567a_real > $o). 1.62/0.54 thf(func_def_124, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 1.62/0.54 thf(func_def_125, type, member_real: real > set_real > $o). 1.62/0.54 thf(func_def_126, type, member1838126896od_a_a: set_Product_prod_a_a > set_se1596668135od_a_a > $o). 1.62/0.54 thf(func_def_127, type, member_set_real: set_real > set_set_real > $o). 1.62/0.54 thf(func_def_128, type, member_set_a: set_a > set_set_a > $o). 1.62/0.54 thf(func_def_129, type, member_a: a > set_a > $o). 1.62/0.54 thf(func_def_130, type, relation: set_Product_prod_a_a). 1.62/0.54 thf(func_def_131, type, u: real). 1.62/0.54 thf(func_def_132, type, v: real). 1.62/0.54 thf(func_def_133, type, x: a). 1.62/0.54 thf(func_def_134, type, y: a). 1.62/0.54 thf(func_def_136, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 1.62/0.54 thf(func_def_139, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 1.62/0.54 thf(func_def_140, type, vAND: $o > $o > $o). 1.62/0.54 thf(func_def_141, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 1.62/0.54 thf(func_def_142, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 1.62/0.54 thf(func_def_143, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 1.62/0.54 thf(func_def_144, type, vIMP: $o > $o > $o). 1.62/0.54 thf(func_def_145, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 1.62/0.54 thf(func_def_146, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 1.62/0.54 thf(func_def_147, type, vOR: $o > $o > $o). 1.62/0.54 thf(func_def_148, type, sP0: real > real > real > $o). 1.62/0.54 thf(func_def_149, type, sP1: real > real > real > $o). 1.62/0.54 thf(func_def_150, type, sP2: real > real > real > $o). 1.62/0.54 thf(func_def_151, type, sP3: real > real > real > $o). 1.62/0.54 thf(func_def_152, type, sK4: (product_prod_a_a > $o) > a). 1.62/0.54 thf(func_def_153, type, sK5: (product_prod_a_a > $o) > a). 1.62/0.54 thf(func_def_154, type, sK6: (product_prod_a_a > $o) > a). 1.62/0.54 thf(func_def_155, type, sK7: (product_prod_a_a > $o) > a). 1.62/0.54 thf(func_def_156, type, sK8: product_prod_a_a > a). 1.62/0.54 thf(func_def_157, type, sK9: product_prod_a_a > a). 1.62/0.54 thf(func_def_158, type, sK10: product_prod_a_a > a). 1.62/0.54 thf(func_def_159, type, sK11: product_prod_a_a > a). 1.62/0.54 thf(func_def_160, type, sK12: (real > real) > real). 1.62/0.54 thf(func_def_161, type, sK13: (real > real) > real). 1.62/0.54 thf(func_def_162, type, sK14: (real > real) > real). 1.62/0.54 thf(func_def_163, type, sK15: (real > real) > real). 1.62/0.54 thf(func_def_164, type, sK16: (real > real) > real). 1.62/0.54 thf(func_def_165, type, sK17: (real > real) > real). 1.62/0.54 thf(func_def_166, type, sK18: (real > real) > real). 1.62/0.54 thf(func_def_167, type, sK19: (real > real) > real). 1.62/0.54 thf(func_def_168, type, sK20: real > real > real). 1.62/0.54 thf(func_def_169, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 1.62/0.54 thf(func_def_170, type, vNOT: $o > $o). 1.62/0.54 thf(f1743,plain,( 1.62/0.54 $false), 1.62/0.54 inference(trivial_inequality_removal,[],[f1734])). 1.62/0.54 thf(f1734,plain,( 1.62/0.54 ($true != $true)), 1.62/0.54 inference(superposition,[],[f1617,f1017])). 1.62/0.54 thf(f1017,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ x) @ y)) @ relation) = $true)), 1.62/0.54 inference(cnf_transformation,[],[f739])). 1.62/0.54 thf(f739,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ x) @ y)) @ relation) = $true)), 1.62/0.54 inference(fool_elimination,[],[f738])). 1.62/0.54 thf(f738,plain,( 1.62/0.54 ((member449909584od_a_a @ ((product_Pair_a_a @ x) @ y)) @ relation)), 1.62/0.54 inference(rectify,[],[f271])). 1.62/0.54 thf(f271,axiom,( 1.62/0.54 ((member449909584od_a_a @ ((product_Pair_a_a @ x) @ y)) @ relation)), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_assms_I2_J)). 1.62/0.54 thf(f1617,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ x) @ y)) @ relation) != $true)), 1.62/0.54 inference(forward_demodulation,[],[f1616,f1150])). 1.62/0.54 thf(f1150,plain,( 1.62/0.54 ( ! [X0 : a] : ((((plus_plus_a @ X0) @ zero_zero_a) = X0)) )), 1.62/0.54 inference(cnf_transformation,[],[f164])). 1.62/0.54 thf(f164,axiom,( 1.62/0.54 ! [X0 : a] : (((plus_plus_a @ X0) @ zero_zero_a) = X0)), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_add_Ocomm__neutral)). 1.62/0.54 thf(f1616,plain,( 1.62/0.54 ($true != ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ x) @ zero_zero_a)) @ y)) @ relation))), 1.62/0.54 inference(forward_demodulation,[],[f1583,f1032])). 1.62/0.54 thf(f1032,plain,( 1.62/0.54 ( ! [X0 : a] : ((zero_zero_a = ((real_V1035702895aleR_a @ zero_zero_real) @ X0))) )), 1.62/0.54 inference(cnf_transformation,[],[f752])). 1.62/0.54 thf(f752,plain,( 1.62/0.54 ! [X0 : a] : (zero_zero_a = ((real_V1035702895aleR_a @ zero_zero_real) @ X0))), 1.62/0.54 inference(rectify,[],[f224])). 1.62/0.54 thf(f224,axiom,( 1.62/0.54 ! [X4 : a] : (zero_zero_a = ((real_V1035702895aleR_a @ zero_zero_real) @ X4))), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_scale__zero__left)). 1.62/0.54 thf(f1583,plain,( 1.62/0.54 ($true != ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ x) @ ((real_V1035702895aleR_a @ zero_zero_real) @ y))) @ y)) @ relation))), 1.62/0.54 inference(backward_demodulation,[],[f1315,f1500])). 1.62/0.54 thf(f1500,plain,( 1.62/0.54 (zero_zero_real = v)), 1.62/0.54 inference(equality_proxy_clausification,[],[f1499])). 1.62/0.54 thf(f1499,plain,( 1.62/0.54 ($true = ((vEQ(real) @ zero_zero_real) @ v))), 1.62/0.54 inference(boolean_simplification,[],[f1423])). 1.62/0.54 thf(f1423,plain,( 1.62/0.54 (((vEQ(real) @ zero_zero_real) @ v) = ((vEQ(real) @ u) @ u))), 1.62/0.54 inference(superposition,[],[f1160,f1302])). 1.62/0.54 thf(f1302,plain,( 1.62/0.54 (u = ((plus_plus_real @ u) @ v))), 1.62/0.54 inference(global_subsumption,[],[f1301,f1300])). 1.62/0.54 thf(f1300,plain,( 1.62/0.54 (u = ((plus_plus_real @ u) @ v)) | (zero_zero_real = u)), 1.62/0.54 inference(trivial_inequality_removal,[],[f1291])). 1.62/0.54 thf(f1291,plain,( 1.62/0.54 ($true != $true) | (u = ((plus_plus_real @ u) @ v)) | (zero_zero_real = u)), 1.62/0.54 inference(superposition,[],[f1010,f1257])). 1.62/0.54 thf(f1257,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true) | (u = ((plus_plus_real @ u) @ v)) | (zero_zero_real = u)), 1.62/0.54 inference(definition_unfolding,[],[f1018,f1021])). 1.62/0.54 thf(f1021,plain,( 1.62/0.54 (one_one_real = ((plus_plus_real @ u) @ v))), 1.62/0.54 inference(cnf_transformation,[],[f27])). 1.62/0.54 thf(f27,axiom,( 1.62/0.54 (one_one_real = ((plus_plus_real @ u) @ v))), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_assms_I5_J)). 1.62/0.54 thf(f1018,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true) | (one_one_real = u) | (zero_zero_real = u)), 1.62/0.54 inference(cnf_transformation,[],[f813])). 1.62/0.54 thf(f813,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true) | (one_one_real = u) | (zero_zero_real = u)), 1.62/0.54 inference(flattening,[],[f812])). 1.62/0.54 thf(f812,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true) | ((one_one_real = u) | (zero_zero_real = u))), 1.62/0.54 inference(ennf_transformation,[],[f378])). 1.62/0.54 thf(f378,plain,( 1.62/0.54 ((one_one_real != u) & (zero_zero_real != u)) => (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true)), 1.62/0.54 inference(fool_elimination,[],[f377])). 1.62/0.54 thf(f377,plain,( 1.62/0.54 ((one_one_real != u) & (zero_zero_real != u)) => ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation)), 1.62/0.54 inference(rectify,[],[f106])). 1.62/0.54 thf(f106,axiom,( 1.62/0.54 ((one_one_real != u) & (zero_zero_real != u)) => ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation)), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062u_A_092_060noteq_062_A0_A_092_060and_062_Au_A_092_060noteq_062_A1_A_092_060longrightarrow_062_Au_A_K_092_060_094sub_062R_Ax_A_L_Av_A_K_092_060_094sub_062R_Ay_A_092_060succeq_062_Ay_092_060close_062)). 1.62/0.54 thf(f1010,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) != $true)), 1.62/0.54 inference(cnf_transformation,[],[f742])). 1.62/0.54 thf(f742,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) != $true)), 1.62/0.54 inference(flattening,[],[f358])). 1.62/0.54 thf(f358,plain,( 1.62/0.54 ~(((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true)), 1.62/0.54 inference(fool_elimination,[],[f357])). 1.62/0.54 thf(f357,plain,( 1.62/0.54 ~((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation)), 1.62/0.54 inference(rectify,[],[f334])). 1.62/0.54 thf(f334,negated_conjecture,( 1.62/0.54 ~((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation)), 1.62/0.54 inference(negated_conjecture,[],[f333])). 1.62/0.54 thf(f333,conjecture,( 1.62/0.54 ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation)), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 1.62/0.54 thf(f1301,plain,( 1.62/0.54 (zero_zero_real != u)), 1.62/0.54 inference(trivial_inequality_removal,[],[f1290])). 1.62/0.54 thf(f1290,plain,( 1.62/0.54 ($true != $true) | (zero_zero_real != u)), 1.62/0.54 inference(superposition,[],[f1010,f1019])). 1.62/0.54 thf(f1019,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true) | (zero_zero_real != u)), 1.62/0.54 inference(cnf_transformation,[],[f814])). 1.62/0.54 thf(f814,plain,( 1.62/0.54 (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true) | (zero_zero_real != u)), 1.62/0.54 inference(ennf_transformation,[],[f376])). 1.62/0.54 thf(f376,plain,( 1.62/0.54 (zero_zero_real = u) => (((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation) = $true)), 1.62/0.54 inference(fool_elimination,[],[f375])). 1.62/0.54 thf(f375,plain,( 1.62/0.54 (zero_zero_real = u) => ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation)), 1.62/0.54 inference(rectify,[],[f97])). 1.62/0.54 thf(f97,axiom,( 1.62/0.54 (zero_zero_real = u) => ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ ((real_V1035702895aleR_a @ u) @ x)) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation)), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_u__0)). 1.62/0.54 thf(f1160,plain,( 1.62/0.54 ( ! [X0 : real,X1 : real] : ((((vEQ(real) @ zero_zero_real) @ X1) = ((vEQ(real) @ ((plus_plus_real @ X0) @ X1)) @ X0))) )), 1.62/0.54 inference(cnf_transformation,[],[f449])). 1.62/0.54 thf(f449,plain,( 1.62/0.54 ! [X0 : real,X1 : real] : (((vEQ(real) @ zero_zero_real) @ X1) = ((vEQ(real) @ ((plus_plus_real @ X0) @ X1)) @ X0))), 1.62/0.54 inference(fool_elimination,[],[f341])). 1.62/0.54 thf(f341,axiom,( 1.62/0.54 ! [X0 : real,X1 : real] : ((((plus_plus_real @ X0) @ X1) = X0) = (zero_zero_real = X1))), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_add__cancel__left__right)). 1.62/0.54 thf(f1315,plain,( 1.62/0.54 ($true != ((member449909584od_a_a @ ((product_Pair_a_a @ ((plus_plus_a @ x) @ ((real_V1035702895aleR_a @ v) @ y))) @ y)) @ relation))), 1.62/0.54 inference(backward_demodulation,[],[f1010,f1303])). 1.62/0.54 thf(f1303,plain,( 1.62/0.54 ( ! [X0 : a] : ((((real_V1035702895aleR_a @ u) @ X0) = X0)) )), 1.62/0.54 inference(backward_demodulation,[],[f1258,f1302])). 1.62/0.54 thf(f1258,plain,( 1.62/0.54 ( ! [X0 : a] : ((((real_V1035702895aleR_a @ ((plus_plus_real @ u) @ v)) @ X0) = X0)) )), 1.62/0.54 inference(definition_unfolding,[],[f1030,f1021])). 1.62/0.54 thf(f1030,plain,( 1.62/0.54 ( ! [X0 : a] : ((((real_V1035702895aleR_a @ one_one_real) @ X0) = X0)) )), 1.62/0.54 inference(cnf_transformation,[],[f751])). 1.62/0.54 thf(f751,plain,( 1.62/0.54 ! [X0 : a] : (((real_V1035702895aleR_a @ one_one_real) @ X0) = X0)), 1.62/0.54 inference(rectify,[],[f167])). 1.62/0.54 thf(f167,axiom,( 1.62/0.54 ! [X4 : a] : (((real_V1035702895aleR_a @ one_one_real) @ X4) = X4)), 1.62/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_scaleR__one)). 1.62/0.54 % SZS output end Proof for theBenchmark 1.62/0.54 % (9734)------------------------------ 1.62/0.54 % (9734)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 1.62/0.54 % (9734)Termination reason: Refutation 1.62/0.54 1.62/0.54 % (9734)Memory used [KB]: 7547 1.62/0.54 % (9734)Time elapsed: 0.205 s 1.62/0.54 % (9734)------------------------------ 1.62/0.54 % (9734)------------------------------ 1.62/0.54 % (9710)Success in time 0.235 s 1.62/0.54 EOF