0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n004.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 15:00:54 EDT 2021
0.13/0.34	% CPUTime    : 
0.13/0.35	This is a THF_ problem
0.13/0.35	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.35	Running in auto input_syntax mode. Trying TPTP
0.20/0.40	% (2102)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
0.20/0.40	% (2107)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
0.20/0.40	% (2117)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
0.20/0.41	% (2103)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
0.20/0.41	% (2104)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
0.20/0.41	% (2105)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
0.20/0.41	% (2106)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
0.20/0.41	% (2109)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
0.20/0.42	% (2119)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
0.20/0.42	% (2109)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.42	% (2126)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
0.20/0.43	% (2124)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
0.20/0.43	% (2129)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
0.20/0.43	% (2130)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
0.20/0.43	% (2128)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
0.20/0.43	% (2116)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
0.20/0.43	% (2125)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
0.20/0.43	% (2110)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
0.20/0.43	% (2106)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (2104)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (2119)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.44	% (2125)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.44	% (2131)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
0.20/0.44	% (2117)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.44	% (2127)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
0.20/0.44	% (2120)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
0.20/0.44	% (2122)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
0.20/0.44	% (2121)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
0.20/0.44	% (2115)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
0.20/0.44	% (2118)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
0.20/0.45	% (2108)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
0.20/0.45	% (2112)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
0.20/0.45	% (2123)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
0.20/0.45	% (2114)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
0.20/0.45	% (2113)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
0.20/0.45	% (2126)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.45	% (2104)Refutation not found, incomplete strategy% (2104)------------------------------
0.20/0.45	% (2104)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.20/0.45	% (2104)Termination reason: Refutation not found, incomplete strategy
0.20/0.45	
0.20/0.45	% (2104)Memory used [KB]: 10490
0.20/0.45	% (2104)Time elapsed: 0.056 s
0.20/0.45	% (2104)------------------------------
0.20/0.45	% (2104)------------------------------
0.20/0.46	% (2108)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.46	% (2127)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.46	% (2124)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.47	% (2111)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
0.20/0.47	% (2115)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.47	% (2111)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.47	% (2118)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (2118)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (2116)First to succeed.
0.20/0.48	% (2116)Refutation found. Thanks to Tanya!
0.20/0.48	% SZS status Theorem for theBenchmark
0.20/0.48	% SZS output start Proof for theBenchmark
0.20/0.48	thf(type_def_6, type, u: $tType).
0.20/0.48	thf(type_def_7, type, d: $tType).
0.20/0.48	thf(type_def_8, type, du: $tType).
0.20/0.48	thf(type_def_9, type, mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType).
0.20/0.48	thf(type_def_10, type, mono_2Etyop_2Erealax_2Ereal: $tType).
0.20/0.48	thf(func_def_11, type, tyop_2Emin_2Ebool: d).
0.20/0.48	thf(type_def_12, type, >: ($tType * $tType) > $tType).
0.20/0.48	thf(func_def_13, type, tyop_2Emin_2Efun: d > d > d).
0.20/0.48	thf(func_def_14, type, tyop_2Epair_2Eprod: d > d > d).
0.20/0.48	thf(func_def_15, type, tyop_2Erealax_2Ereal: d).
0.20/0.48	thf(func_def_16, type, s: d > u > du).
0.20/0.48	thf(func_def_17, type, app_2E2: du > du > u).
0.20/0.48	thf(func_def_18, type, combin_i_2E0: u).
0.20/0.48	thf(func_def_19, type, combin_k_2E0: u).
0.20/0.48	thf(func_def_20, type, combin_s_2E0: u).
0.20/0.48	thf(func_def_21, type, c_2Ebool_2E_21_2E0: u).
0.20/0.48	thf(func_def_22, type, c_2Ebool_2E_21_2E1: du > u).
0.20/0.48	thf(func_def_23, type, c_2Epair_2E_2C_2E0: u).
0.20/0.48	thf(func_def_24, type, c_2Epair_2E_2C_2E2: du > du > u).
0.20/0.48	thf(func_def_25, type, c_2Ebool_2E_2F_5C_2E0: u).
0.20/0.48	thf(func_def_26, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
0.20/0.48	thf(func_def_27, type, c_2Emin_2E_3D_2E0: u).
0.20/0.48	thf(func_def_28, type, c_2Emin_2E_3D_2E2: du > du > u).
0.20/0.48	thf(func_def_29, type, c_2Emin_2E_3D_3D_3E_2E0: u).
0.20/0.48	thf(func_def_30, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
0.20/0.48	thf(func_def_31, type, c_2Ebool_2E_3F_2E0: u).
0.20/0.48	thf(func_def_32, type, c_2Ebool_2E_3F_2E1: du > u).
0.20/0.48	thf(func_def_33, type, c_2Ebool_2EF_2E0: u).
0.20/0.48	thf(func_def_34, type, c_2Epred__set_2ESUBSET_2E0: u).
0.20/0.48	thf(func_def_35, type, c_2Epred__set_2ESUBSET_2E2: du > du > u).
0.20/0.48	thf(func_def_36, type, c_2Ebool_2ET_2E0: u).
0.20/0.48	thf(func_def_37, type, c_2Ebool_2E_5C_2F_2E0: u).
0.20/0.48	thf(func_def_38, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
0.20/0.48	thf(func_def_39, type, c_2Ereal__topology_2Eball_2E0: u).
0.20/0.48	thf(func_def_40, type, c_2Ereal__topology_2Eball_2E1: du > u).
0.20/0.48	thf(func_def_41, type, c_2Ereal__topology_2Ebounded__def_2E0: u).
0.20/0.48	thf(func_def_42, type, c_2Ereal__topology_2Ebounded__def_2E1: du > u).
0.20/0.48	thf(func_def_43, type, c_2Ereal__topology_2Ecball_2E0: u).
0.20/0.48	thf(func_def_44, type, c_2Ereal__topology_2Ecball_2E1: du > u).
0.20/0.48	thf(func_def_45, type, c_2Ebool_2E_7E_2E0: u).
0.20/0.48	thf(func_def_46, type, c_2Ebool_2E_7E_2E1: du > u).
0.20/0.48	thf(func_def_47, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
0.20/0.48	thf(func_def_48, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
0.20/0.48	thf(func_def_49, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ((mono_2Etyop_2Erealax_2Ereal > $o) > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o).
0.20/0.48	thf(func_def_50, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o).
0.20/0.48	thf(func_def_51, type, mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o).
0.20/0.48	thf(func_def_52, type, mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: (mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
0.20/0.48	thf(func_def_53, type, mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: (mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
0.20/0.48	thf(func_def_54, type, mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
0.20/0.48	thf(func_def_55, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
0.20/0.48	thf(func_def_56, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
0.20/0.48	thf(func_def_58, type, mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal: (mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o).
0.20/0.48	thf(func_def_60, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
0.20/0.48	thf(func_def_61, type, mono_2Ec_2Ereal__topology_2Eball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o).
0.20/0.48	thf(func_def_62, type, mono_2Ec_2Ereal__topology_2Ebounded__def: (mono_2Etyop_2Erealax_2Ereal > $o) > $o).
0.20/0.48	thf(func_def_63, type, mono_2Ec_2Ereal__topology_2Ecball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o).
0.20/0.48	thf(func_def_64, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
0.20/0.48	thf(func_def_65, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
0.20/0.48	thf(func_def_66, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
0.20/0.48	thf(func_def_67, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
0.20/0.48	thf(func_def_68, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Erealax_2Ereal > $o) > $o) > u).
0.20/0.48	thf(func_def_69, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o) > u).
0.20/0.48	thf(func_def_70, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o) > u).
0.20/0.48	thf(func_def_71, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Erealax_2Ereal > $o) > u).
0.20/0.48	thf(func_def_72, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: (mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > u).
0.20/0.48	thf(func_def_73, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: (mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) > u).
0.20/0.48	thf(func_def_74, type, i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > u).
0.20/0.48	thf(func_def_75, type, i_mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > u).
0.20/0.48	thf(func_def_76, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
0.20/0.48	thf(func_def_77, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
0.20/0.48	thf(func_def_78, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o).
0.20/0.48	thf(func_def_79, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > (mono_2Etyop_2Erealax_2Ereal > $o) > $o).
0.20/0.48	thf(func_def_80, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > (mono_2Etyop_2Erealax_2Ereal > $o) > (mono_2Etyop_2Erealax_2Ereal > $o) > $o).
0.20/0.48	thf(func_def_81, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o).
0.20/0.48	thf(func_def_82, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Erealax_2Ereal > $o).
0.20/0.48	thf(func_def_83, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
0.20/0.48	thf(func_def_84, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
0.20/0.48	thf(func_def_85, type, j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
0.20/0.48	thf(func_def_86, type, j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal).
0.20/0.48	thf(func_def_87, type, vNOT: $o > $o).
0.20/0.48	thf(func_def_89, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.20/0.48	thf(func_def_92, type, vOR: $o > $o > $o).
0.20/0.48	thf(func_def_93, type, vAND: $o > $o > $o).
0.20/0.48	thf(func_def_94, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
0.20/0.48	thf(func_def_95, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.48	thf(func_def_96, type, sK0: mono_2Etyop_2Erealax_2Ereal).
0.20/0.48	thf(func_def_97, type, sK1: mono_2Etyop_2Erealax_2Ereal).
0.20/0.48	thf(func_def_98, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.20/0.48	thf(func_def_99, type, vIMP: $o > $o > $o).
0.20/0.48	thf(func_def_100, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.20/0.48	thf(func_def_101, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.48	thf(func_def_102, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.20/0.48	thf(func_def_103, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.20/0.48	thf(func_def_107, type, sK2: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal).
0.20/0.48	thf(func_def_108, type, sK3: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal).
0.20/0.48	thf(func_def_109, type, sK4: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal).
0.20/0.48	thf(func_def_110, type, sK5: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal).
0.20/0.48	thf(f398,plain,(
0.20/0.48	  $false),
0.20/0.48	  inference(equality_resolution,[],[f365])).
0.20/0.48	thf(f365,plain,(
0.20/0.48	  ( ! [X2 : mono_2Etyop_2Erealax_2Ereal,X3 : mono_2Etyop_2Erealax_2Ereal] : (((mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X2) @ X3)) != (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1)))) )),
0.20/0.48	  inference(trivial_inequality_removal,[],[f362])).
0.20/0.48	thf(f362,plain,(
0.20/0.48	  ( ! [X2 : mono_2Etyop_2Erealax_2Ereal,X3 : mono_2Etyop_2Erealax_2Ereal] : (($true != $true) | ((mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X2) @ X3)) != (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1)))) )),
0.20/0.48	  inference(constrained_superposition,[],[f352,f176])).
0.20/0.48	thf(f176,plain,(
0.20/0.48	  ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))) )),
0.20/0.48	  inference(cnf_transformation,[],[f130])).
0.20/0.48	thf(f130,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))),
0.20/0.48	  inference(fool_elimination,[],[f129])).
0.20/0.48	thf(f129,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1)))),
0.20/0.48	  inference(rectify,[],[f23])).
0.20/0.48	thf(f23,axiom,(
0.20/0.48	  ! [X7 : mono_2Etyop_2Erealax_2Ereal,X8 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X7) @ X8)))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__CBALL)).
0.20/0.48	thf(f352,plain,(
0.20/0.48	  ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))))),
0.20/0.48	  inference(equality_resolution,[],[f349])).
0.20/0.48	thf(f349,plain,(
0.20/0.48	  ( ! [X12 : mono_2Etyop_2Erealax_2Ereal,X11 : mono_2Etyop_2Erealax_2Ereal] : (((mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1)) != (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X11) @ X12))) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X11) @ X12))))) )),
0.20/0.48	  inference(trivial_inequality_removal,[],[f344])).
0.20/0.48	thf(f344,plain,(
0.20/0.48	  ( ! [X12 : mono_2Etyop_2Erealax_2Ereal,X11 : mono_2Etyop_2Erealax_2Ereal] : (($true = $false) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X11) @ X12)))) | ((mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1)) != (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X11) @ X12)))) )),
0.20/0.48	  inference(constrained_superposition,[],[f326,f231])).
0.20/0.48	thf(f231,plain,(
0.20/0.48	  ($false = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))))),
0.20/0.48	  inference(trivial_inequality_removal,[],[f229])).
0.20/0.48	thf(f229,plain,(
0.20/0.48	  ($true != $true) | ($false = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))))),
0.20/0.48	  inference(superposition,[],[f169,f217])).
0.20/0.48	thf(f217,plain,(
0.20/0.48	  ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
0.20/0.48	  inference(global_subsumption,[],[f169,f214])).
0.20/0.48	thf(f214,plain,(
0.20/0.48	  ( ! [X0 : $o] : (($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1)))) | ($true = X0) | ($false = X0)) )),
0.20/0.48	  inference(binary_proxy_clausification,[],[f213])).
0.20/0.48	thf(f213,plain,(
0.20/0.48	  ( ! [X0 : $o] : (((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))) = X0) | ($true = X0)) )),
0.20/0.48	  inference(trivial_inequality_removal,[],[f210])).
0.20/0.48	thf(f210,plain,(
0.20/0.48	  ( ! [X0 : $o] : (($true != $true) | ((mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))) = X0) | ($true = X0)) )),
0.20/0.48	  inference(superposition,[],[f169,f192])).
0.20/0.48	thf(f192,plain,(
0.20/0.48	  ( ! [X0 : $o,X1 : $o] : (($true = X1) | (X0 = X1) | ($true = X0)) )),
0.20/0.48	  inference(cnf_transformation,[],[f161])).
0.20/0.48	thf(f161,plain,(
0.20/0.48	  ! [X0 : $o,X1 : $o] : ((X0 = X1) | (($true != X0) & ($true = X1)) | (($true != X1) & ($true = X0)))),
0.20/0.48	  inference(flattening,[],[f160])).
0.20/0.48	thf(f160,plain,(
0.20/0.48	  ! [X0 : $o,X1 : $o] : (((X0 = X1) | (($true != X0) & ($true = X1))) | (($true != X1) & ($true = X0)))),
0.20/0.48	  inference(ennf_transformation,[],[f108])).
0.20/0.48	thf(f108,plain,(
0.20/0.48	  ! [X0 : $o,X1 : $o] : ((($true = X0) => ($true = X1)) => ((($true = X1) => ($true = X0)) => (X0 = X1)))),
0.20/0.48	  inference(fool_elimination,[],[f107])).
0.20/0.48	thf(f107,plain,(
0.20/0.48	  ! [X0 : $o,X1 : $o] : ((X0 => X1) => ((X1 => X0) => (X0 = X1)))),
0.20/0.48	  inference(rectify,[],[f11])).
0.20/0.48	thf(f11,axiom,(
0.20/0.48	  ! [X11 : $o,X12 : $o] : ((X11 => X12) => ((X12 => X11) => (X11 = X12)))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__ANTISYM__AX)).
0.20/0.48	thf(f169,plain,(
0.20/0.48	  ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))))),
0.20/0.48	  inference(cnf_transformation,[],[f163])).
0.20/0.48	thf(f163,plain,(
0.20/0.48	  ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))))),
0.20/0.48	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f157,f162])).
0.20/0.48	thf(f162,plain,(
0.20/0.48	  ? [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1)))) => ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sK0) @ sK1))))),
0.20/0.48	  introduced(choice_axiom,[])).
0.20/0.48	thf(f157,plain,(
0.20/0.48	  ? [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))),
0.20/0.48	  inference(ennf_transformation,[],[f84])).
0.20/0.48	thf(f84,plain,(
0.20/0.48	  ~! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))),
0.20/0.48	  inference(fool_elimination,[],[f83])).
0.20/0.48	thf(f83,plain,(
0.20/0.48	  ~! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1)))),
0.20/0.48	  inference(rectify,[],[f66])).
0.20/0.48	thf(f66,negated_conjecture,(
0.20/0.48	  ~! [X7 : mono_2Etyop_2Erealax_2Ereal,X8 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X7) @ X8)))),
0.20/0.48	  inference(negated_conjecture,[],[f65])).
0.20/0.48	thf(f65,conjecture,(
0.20/0.48	  ! [X7 : mono_2Etyop_2Erealax_2Ereal,X8 : mono_2Etyop_2Erealax_2Ereal] : (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X7) @ X8)))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__BALL)).
0.20/0.48	thf(f326,plain,(
0.20/0.48	  ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1)))) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))) )),
0.20/0.48	  inference(trivial_inequality_removal,[],[f321])).
0.20/0.48	thf(f321,plain,(
0.20/0.48	  ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (($true = $false) | ($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1)))) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))) )),
0.20/0.48	  inference(superposition,[],[f232,f172])).
0.20/0.48	thf(f172,plain,(
0.20/0.48	  ( ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : (($true = ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))) @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))) )),
0.20/0.48	  inference(cnf_transformation,[],[f132])).
0.20/0.48	thf(f132,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ($true = ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))) @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))),
0.20/0.48	  inference(fool_elimination,[],[f131])).
0.20/0.48	thf(f131,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal,X1 : mono_2Etyop_2Erealax_2Ereal] : ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1))) @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0) @ X1)))),
0.20/0.48	  inference(rectify,[],[f7])).
0.20/0.48	thf(f7,axiom,(
0.20/0.48	  ! [X7 : mono_2Etyop_2Erealax_2Ereal,X8 : mono_2Etyop_2Erealax_2Ereal] : ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ (mono_2Ec_2Ereal__topology_2Eball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X7) @ X8))) @ (mono_2Ec_2Ereal__topology_2Ecball @ ((mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X7) @ X8)))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBALL__SUBSET__CBALL)).
0.20/0.48	thf(f232,plain,(
0.20/0.48	  ( ! [X0 : mono_2Etyop_2Erealax_2Ereal > $o,X1 : mono_2Etyop_2Erealax_2Ereal > $o] : (($false = ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0) @ X1)) | ($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1))) )),
0.20/0.48	  inference(trivial_inequality_removal,[],[f228])).
0.20/0.48	thf(f228,plain,(
0.20/0.48	  ( ! [X0 : mono_2Etyop_2Erealax_2Ereal > $o,X1 : mono_2Etyop_2Erealax_2Ereal > $o] : (($true != $true) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) | ($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) | ($false = ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0) @ X1))) )),
0.20/0.48	  inference(superposition,[],[f177,f217])).
0.20/0.48	thf(f177,plain,(
0.20/0.48	  ( ! [X0 : mono_2Etyop_2Erealax_2Ereal > $o,X1 : mono_2Etyop_2Erealax_2Ereal > $o] : (($true != ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0) @ X1)) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) | ($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0))) )),
0.20/0.48	  inference(cnf_transformation,[],[f159])).
0.20/0.48	thf(f159,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal > $o,X1 : mono_2Etyop_2Erealax_2Ereal > $o] : (($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) | ($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) | ($true != ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0) @ X1)))),
0.20/0.48	  inference(flattening,[],[f158])).
0.20/0.48	thf(f158,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal > $o,X1 : mono_2Etyop_2Erealax_2Ereal > $o] : (($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)) | (($true != (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) | ($true != ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0) @ X1))))),
0.20/0.48	  inference(ennf_transformation,[],[f106])).
0.20/0.48	thf(f106,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal > $o,X1 : mono_2Etyop_2Erealax_2Ereal > $o] : ((($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ X1)) & ($true = ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0) @ X1))) => ($true = (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0)))),
0.20/0.48	  inference(fool_elimination,[],[f105])).
0.20/0.48	thf(f105,plain,(
0.20/0.48	  ! [X0 : mono_2Etyop_2Erealax_2Ereal > $o,X1 : mono_2Etyop_2Erealax_2Ereal > $o] : (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X1) & ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X0) @ X1)) => (mono_2Ec_2Ereal__topology_2Ebounded__def @ X0))),
0.20/0.48	  inference(rectify,[],[f35])).
0.20/0.48	thf(f35,axiom,(
0.20/0.48	  ! [X22 : mono_2Etyop_2Erealax_2Ereal > $o,X23 : mono_2Etyop_2Erealax_2Ereal > $o] : (((mono_2Ec_2Ereal__topology_2Ebounded__def @ X23) & ((mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X22) @ X23)) => (mono_2Ec_2Ereal__topology_2Ebounded__def @ X22))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__SUBSET)).
0.20/0.48	% SZS output end Proof for theBenchmark
0.20/0.48	% (2116)------------------------------
0.20/0.48	% (2116)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.20/0.48	% (2116)Termination reason: Refutation
0.20/0.48	
0.20/0.48	% (2116)Memory used [KB]: 6012
0.20/0.48	% (2116)Time elapsed: 0.082 s
0.20/0.48	% (2116)------------------------------
0.20/0.48	% (2116)------------------------------
0.20/0.48	% (2101)Success in time 0.127 s
0.20/0.48	EOF