0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d
0.11/0.33	% Computer   : n013.cluster.edu
0.11/0.33	% Model      : x86_64 x86_64
0.11/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory     : 8042.1875MB
0.11/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1200
0.11/0.33	% WCLimit    : 120
0.11/0.33	% DateTime   : Tue Jul 13 14:09:48 EDT 2021
0.11/0.33	% CPUTime    : 
0.11/0.33	This is a THF_ problem
0.11/0.33	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.11/0.33	Running in auto input_syntax mode. Trying TPTP
0.17/0.36	% (5907)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
0.17/0.37	% (5922)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
0.17/0.38	% (5910)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
0.17/0.38	% (5916)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
0.17/0.38	% (5927)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
0.17/0.38	% (5913)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
0.17/0.38	% (5909)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
0.17/0.38	% (5912)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
0.17/0.38	% (5919)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
0.17/0.38	% (5907)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.39	% (5909)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.39	% (5912)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.39	% (5913)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.39	% (5931)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
0.17/0.39	% (5908)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
0.17/0.39	% (5922)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.39	% (5911)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
0.17/0.40	% (5927)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.40	% (5919)Refutation not found, incomplete strategy% (5919)------------------------------
0.17/0.40	% (5919)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.17/0.40	% (5919)Termination reason: Refutation not found, incomplete strategy
0.17/0.40	
0.17/0.40	% (5919)Memory used [KB]: 5884
0.17/0.40	% (5919)Time elapsed: 0.038 s
0.17/0.40	% (5919)------------------------------
0.17/0.40	% (5919)------------------------------
0.17/0.40	% (5905)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
0.17/0.40	% (5923)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
0.17/0.40	% (5911)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.40	% (5906)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
0.17/0.40	% (5926)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
0.17/0.40	% (5925)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
0.17/0.41	% (5933)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
0.17/0.41	% (5916)Refutation not found, incomplete strategy% (5916)------------------------------
0.17/0.41	% (5916)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.17/0.41	% (5924)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
0.17/0.42	% (5914)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
0.17/0.42	% (5928)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
0.17/0.42	% (5929)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
0.17/0.42	% (5918)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
0.17/0.42	% (5916)Termination reason: Refutation not found, incomplete strategy
0.17/0.42	
0.17/0.42	% (5916)Memory used [KB]: 10490
0.17/0.42	% (5916)Time elapsed: 0.051 s
0.17/0.42	% (5916)------------------------------
0.17/0.42	% (5916)------------------------------
0.17/0.42	% (5917)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
0.17/0.42	% (5915)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
0.17/0.42	% (5914)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.42	% (5929)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.42	% (5928)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.42	% (5918)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.42	% (5914)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.42	% (5932)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
0.17/0.42	% (5920)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
0.17/0.42	% (5921)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
0.17/0.43	% (5930)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
0.17/0.43	% (5934)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
0.17/0.43	% (5921)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.43	% (5930)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.43	% (5921)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.44	% (5924)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.45	% (5908)Refutation not found, incomplete strategy% (5908)------------------------------
0.17/0.45	% (5908)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.17/0.45	% (5908)Termination reason: Refutation not found, incomplete strategy
0.17/0.45	
0.17/0.45	% (5908)Memory used [KB]: 10618
0.17/0.45	% (5908)Time elapsed: 0.090 s
0.17/0.45	% (5908)------------------------------
0.17/0.45	% (5908)------------------------------
0.17/0.45	% (5920)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.45	% (5934)Refutation not found, incomplete strategy% (5934)------------------------------
0.17/0.45	% (5934)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.17/0.45	% (5934)Termination reason: Refutation not found, incomplete strategy
0.17/0.45	
0.17/0.45	% (5934)Memory used [KB]: 10490
0.17/0.45	% (5934)Time elapsed: 0.101 s
0.17/0.45	% (5934)------------------------------
0.17/0.45	% (5934)------------------------------
0.17/0.45	% (5935)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
0.17/0.46	% (5920)Refutation not found, incomplete strategy% (5920)------------------------------
0.17/0.46	% (5920)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.17/0.47	% (5936)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:cases=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
0.17/0.48	% (5920)Termination reason: Refutation not found, incomplete strategy
0.17/0.48	
0.17/0.48	% (5920)Memory used [KB]: 10618
0.17/0.48	% (5920)Time elapsed: 0.100 s
0.17/0.48	% (5920)------------------------------
0.17/0.48	% (5920)------------------------------
0.17/0.49	% (5938)lrs+1011_8_add=large:csup=on:fe=off: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_30 on theBenchmark
0.17/0.50	% (5937)lrs+1011_8_add=large:csup=on:inj=on:prag=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_26 on theBenchmark
0.17/0.50	% (5937)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.52	% (5936)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.52	% (5940)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off: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:thsq=on_27 on theBenchmark
0.17/0.53	% (5938)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
5.09/1.00	% (5924)First to succeed.
5.21/1.02	% (5924)Refutation found. Thanks to Tanya!
5.21/1.02	% SZS status Theorem for theBenchmark
5.21/1.02	% SZS output start Proof for theBenchmark
5.21/1.02	thf(type_def_6, type, u: $tType).
5.21/1.02	thf(type_def_7, type, d: $tType).
5.21/1.02	thf(type_def_8, type, du: $tType).
5.21/1.02	thf(func_def_9, type, tyop_2Emin_2Ebool: d).
5.21/1.02	thf(type_def_10, type, >: ($tType * $tType) > $tType).
5.21/1.02	thf(func_def_11, type, tyop_2Emin_2Efun: d > d > d).
5.21/1.02	thf(func_def_12, type, s: d > u > du).
5.21/1.02	thf(func_def_13, type, app_2E2: du > du > u).
5.21/1.02	thf(func_def_14, type, combin_i_2E0: u).
5.21/1.02	thf(func_def_15, type, combin_k_2E0: u).
5.21/1.02	thf(func_def_16, type, combin_s_2E0: u).
5.21/1.02	thf(func_def_17, type, c_2Ebool_2E_21_2E0: u).
5.21/1.02	thf(func_def_18, type, c_2Ebool_2E_21_2E1: du > u).
5.21/1.02	thf(func_def_19, type, c_2Ebool_2E_2F_5C_2E0: u).
5.21/1.02	thf(func_def_20, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
5.21/1.02	thf(func_def_21, type, c_2Emin_2E_3D_2E0: u).
5.21/1.02	thf(func_def_22, type, c_2Emin_2E_3D_2E2: du > du > u).
5.21/1.02	thf(func_def_23, type, c_2Emin_2E_3D_3D_3E_2E0: u).
5.21/1.02	thf(func_def_24, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
5.21/1.02	thf(func_def_25, type, c_2Ebool_2E_3F_2E0: u).
5.21/1.02	thf(func_def_26, type, c_2Ebool_2E_3F_2E1: du > u).
5.21/1.02	thf(func_def_27, type, c_2Epred__set_2ECHOICE_2E0: u).
5.21/1.02	thf(func_def_28, type, c_2Epred__set_2ECHOICE_2E1: du > u).
5.21/1.02	thf(func_def_29, type, c_2Epred__set_2EDELETE_2E0: u).
5.21/1.02	thf(func_def_30, type, c_2Epred__set_2EDELETE_2E2: du > du > u).
5.21/1.02	thf(func_def_31, type, c_2Ebool_2EF_2E0: u).
5.21/1.02	thf(func_def_32, type, c_2Ebool_2EIN_2E0: u).
5.21/1.02	thf(func_def_33, type, c_2Ebool_2EIN_2E2: du > du > u).
5.21/1.02	thf(func_def_34, type, c_2Epred__set_2EREST_2E0: u).
5.21/1.02	thf(func_def_35, type, c_2Epred__set_2EREST_2E1: du > u).
5.21/1.02	thf(func_def_36, type, c_2Epred__set_2ESUBSET_2E0: u).
5.21/1.02	thf(func_def_37, type, c_2Epred__set_2ESUBSET_2E2: du > du > u).
5.21/1.02	thf(func_def_38, type, c_2Ebool_2ET_2E0: u).
5.21/1.02	thf(func_def_39, type, c_2Ebool_2E_5C_2F_2E0: u).
5.21/1.02	thf(func_def_40, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
5.21/1.02	thf(func_def_41, type, c_2Ebool_2E_7E_2E0: u).
5.21/1.02	thf(func_def_42, type, c_2Ebool_2E_7E_2E1: du > u).
5.21/1.02	thf(func_def_43, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
5.21/1.02	thf(func_def_44, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
5.21/1.02	thf(func_def_45, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
5.21/1.02	thf(func_def_46, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
5.21/1.02	thf(func_def_49, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
5.21/1.02	thf(func_def_50, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
5.21/1.02	thf(func_def_51, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
5.21/1.02	thf(func_def_52, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
5.21/1.02	thf(func_def_53, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
5.21/1.02	thf(func_def_54, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
5.21/1.02	thf(func_def_55, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
5.21/1.02	thf(func_def_56, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o).
5.21/1.02	thf(func_def_58, type, vNOT: $o > $o).
5.21/1.02	thf(func_def_59, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
5.21/1.02	thf(func_def_62, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
5.21/1.02	thf(func_def_63, type, sK0: d).
5.21/1.02	thf(func_def_64, type, sK1: u).
5.21/1.02	thf(func_def_65, type, sK2: u > d > u).
5.21/1.02	thf(func_def_66, type, sK3: u > d > u).
5.21/1.02	thf(func_def_67, type, sK4: u > u > d > u).
5.21/1.02	thf(func_def_68, type, sK5: u > u > d > d > u).
5.21/1.02	thf(func_def_70, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
5.21/1.02	thf(func_def_71, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
5.21/1.02	thf(func_def_72, type, vAND: $o > $o > $o).
5.21/1.02	thf(func_def_73, type, vOR: $o > $o > $o).
5.21/1.02	thf(func_def_74, type, vIMP: $o > $o > $o).
5.21/1.02	thf(func_def_75, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
5.21/1.02	thf(func_def_76, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
5.21/1.02	thf(func_def_77, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
5.21/1.02	thf(f1495,plain,(
5.21/1.02	  $false),
5.21/1.02	  inference(avatar_sat_refutation,[],[f160,f185,f190,f240,f1493,f1494])).
5.21/1.02	thf(f1494,plain,(
5.21/1.02	  (((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) != ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ $true))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))),
5.21/1.02	  introduced(theory_tautology_sat_conflict,[])).
5.21/1.02	thf(f1493,plain,(
5.21/1.02	  ~spl6_5 | spl6_3 | ~spl6_4),
5.21/1.02	  inference(avatar_split_clause,[],[f1492,f237,f187,f242])).
5.21/1.02	thf(f242,plain,(
5.21/1.02	  spl6_5 <=> ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))),
5.21/1.02	  introduced(avatar_definition,[new_symbols(naming,[spl6_5])])).
5.21/1.02	thf(f187,plain,(
5.21/1.02	  spl6_3 <=> ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))))),
5.21/1.02	  introduced(avatar_definition,[new_symbols(naming,[spl6_3])])).
5.21/1.02	thf(f237,plain,(
5.21/1.02	  spl6_4 <=> (((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) = ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))),
5.21/1.02	  introduced(avatar_definition,[new_symbols(naming,[spl6_4])])).
5.21/1.02	thf(f1492,plain,(
5.21/1.02	  ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) | (spl6_3 | ~spl6_4)),
5.21/1.02	  inference(forward_demodulation,[],[f1463,f239])).
5.21/1.02	thf(f239,plain,(
5.21/1.02	  (((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) = ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ $true))) | ~spl6_4),
5.21/1.02	  inference(avatar_component_clause,[],[f237])).
5.21/1.02	thf(f1463,plain,(
5.21/1.02	  ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))))) | spl6_3),
5.21/1.02	  inference(superposition,[],[f208,f119])).
5.21/1.02	thf(f119,plain,(
5.21/1.02	  ( ! [X0 : d,X1 : u] : ((((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))) = ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ (c_2Epred__set_2ECHOICE_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))))) )),
5.21/1.02	  inference(cnf_transformation,[],[f69])).
5.21/1.02	thf(f69,plain,(
5.21/1.02	  ! [X0 : d,X1 : u] : (((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))) = ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ (c_2Epred__set_2ECHOICE_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))))),
5.21/1.02	  inference(rectify,[],[f7])).
5.21/1.02	thf(f7,axiom,(
5.21/1.02	  ! [X0 : d,X5 : u] : (((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5))) = ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5)) @ ((s @ X0) @ (c_2Epred__set_2ECHOICE_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5))))))),
5.21/1.02	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__DEF)).
5.21/1.02	thf(f208,plain,(
5.21/1.02	  ( ! [X0 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)) @ ((s @ sK0) @ X0)))))))) ) | spl6_3),
5.21/1.02	  inference(trivial_inequality_removal,[],[f205])).
5.21/1.02	thf(f205,plain,(
5.21/1.02	  ( ! [X0 : u] : (($true != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)) @ ((s @ sK0) @ X0)))))))) ) | spl6_3),
5.21/1.02	  inference(superposition,[],[f189,f147])).
5.21/1.02	thf(f147,plain,(
5.21/1.02	  ( ! [X2 : u,X0 : d,X3 : u,X1 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ X3)))))))) )),
5.21/1.02	  inference(cnf_transformation,[],[f102])).
5.21/1.02	thf(f102,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u,X3 : u] : ((($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ X3))))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) | ($true != (vNOT @ ((vEQ(du) @ ((s @ X0) @ X2)) @ ((s @ X0) @ X3))))) & ((($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) & ($true = (vNOT @ ((vEQ(du) @ ((s @ X0) @ X2)) @ ((s @ X0) @ X3))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ X3)))))))))),
5.21/1.02	  inference(flattening,[],[f101])).
5.21/1.02	thf(f101,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u,X3 : u] : ((($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ X3))))))) | (($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) | ($true != (vNOT @ ((vEQ(du) @ ((s @ X0) @ X2)) @ ((s @ X0) @ X3)))))) & ((($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) & ($true = (vNOT @ ((vEQ(du) @ ((s @ X0) @ X2)) @ ((s @ X0) @ X3))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ X3)))))))))),
5.21/1.02	  inference(nnf_transformation,[],[f57])).
5.21/1.02	thf(f57,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u,X3 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ X3))))))) <=> (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) & ($true = (vNOT @ ((vEQ(du) @ ((s @ X0) @ X2)) @ ((s @ X0) @ X3))))))),
5.21/1.02	  inference(fool_elimination,[],[f56])).
5.21/1.02	thf(f56,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u,X3 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ X0) @ X3)))))) <=> ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X2)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))) & (vNOT @ (((s @ X0) @ X2) = ((s @ X0) @ X3)))))),
5.21/1.02	  inference(rectify,[],[f22])).
5.21/1.02	thf(f22,axiom,(
5.21/1.02	  ! [X0 : d,X5 : u,X11 : u,X16 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X11)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ ((c_2Epred__set_2EDELETE_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5)) @ ((s @ X0) @ X16)))))) <=> ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X11)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5)))) & (vNOT @ (((s @ X0) @ X11) = ((s @ X0) @ X16)))))),
5.21/1.02	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EIN__DELETE)).
5.21/1.02	thf(f189,plain,(
5.21/1.02	  ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) | spl6_3),
5.21/1.02	  inference(avatar_component_clause,[],[f187])).
5.21/1.02	thf(f240,plain,(
5.21/1.02	  spl6_4 | ~spl6_2),
5.21/1.02	  inference(avatar_split_clause,[],[f231,f182,f237])).
5.21/1.02	thf(f182,plain,(
5.21/1.02	  spl6_2 <=> ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))))))),
5.21/1.02	  introduced(avatar_definition,[new_symbols(naming,[spl6_2])])).
5.21/1.02	thf(f231,plain,(
5.21/1.02	  (((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) = ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ $true))) | ~spl6_2),
5.21/1.02	  inference(superposition,[],[f106,f184])).
5.21/1.02	thf(f184,plain,(
5.21/1.02	  ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))))) | ~spl6_2),
5.21/1.02	  inference(avatar_component_clause,[],[f182])).
5.21/1.02	thf(f106,plain,(
5.21/1.02	  ( ! [X0 : u] : ((((s @ tyop_2Emin_2Ebool) @ X0) = ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ X0)))))) )),
5.21/1.02	  inference(cnf_transformation,[],[f60])).
5.21/1.02	thf(f60,plain,(
5.21/1.02	  ! [X0 : u] : (((s @ tyop_2Emin_2Ebool) @ X0) = ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ X0)))))),
5.21/1.02	  inference(rectify,[],[f28])).
5.21/1.02	thf(f28,axiom,(
5.21/1.02	  ! [X9 : u] : (((s @ tyop_2Emin_2Ebool) @ X9) = ((s @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ X9)))))),
5.21/1.02	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Ebool)).
5.21/1.02	thf(f190,plain,(
5.21/1.02	  ~spl6_3 | spl6_1),
5.21/1.02	  inference(avatar_split_clause,[],[f179,f157,f187])).
5.21/1.02	thf(f157,plain,(
5.21/1.02	  spl6_1 <=> ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))))),
5.21/1.02	  introduced(avatar_definition,[new_symbols(naming,[spl6_1])])).
5.21/1.02	thf(f179,plain,(
5.21/1.02	  ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) | spl6_1),
5.21/1.02	  inference(trivial_inequality_removal,[],[f178])).
5.21/1.02	thf(f178,plain,(
5.21/1.02	  ($true != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) | spl6_1),
5.21/1.02	  inference(superposition,[],[f159,f142])).
5.21/1.02	thf(f142,plain,(
5.21/1.02	  ( ! [X2 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) = $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ (((sK4 @ X2) @ X1) @ X0))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))))) )),
5.21/1.02	  inference(cnf_transformation,[],[f98])).
5.21/1.02	thf(f98,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u] : ((! [X3 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))) | ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) != $true)) & (((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) = $true) | (($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ (((sK4 @ X2) @ X1) @ X0))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ (((sK4 @ X2) @ X1) @ X0))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))))))),
5.21/1.02	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f96,f97])).
5.21/1.02	thf(f97,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u] : (? [X4 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X4)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X4)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))) => (($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ (((sK4 @ X2) @ X1) @ X0))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ (((sK4 @ X2) @ X1) @ X0))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))))),
5.21/1.02	  introduced(choice_axiom,[])).
5.21/1.02	thf(f96,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u] : ((! [X3 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))) | ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) != $true)) & (((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) = $true) | ? [X4 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X4)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X4)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))))))),
5.21/1.02	  inference(rectify,[],[f95])).
5.21/1.02	thf(f95,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u] : ((! [X3 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))) | ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) != $true)) & (((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) = $true) | ? [X3 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))))))),
5.21/1.02	  inference(nnf_transformation,[],[f75])).
5.21/1.02	thf(f75,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u] : (! [X3 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))) <=> ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) = $true))),
5.21/1.02	  inference(ennf_transformation,[],[f55])).
5.21/1.02	thf(f55,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u] : (! [X3 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) => ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))))) <=> ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) = $true))),
5.21/1.02	  inference(fool_elimination,[],[f54])).
5.21/1.02	thf(f54,plain,(
5.21/1.02	  ! [X0 : d,X1 : u,X2 : u] : (! [X3 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))) => (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X3)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2))))) <=> (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))))),
5.21/1.02	  inference(rectify,[],[f4])).
5.21/1.02	thf(f4,axiom,(
5.21/1.02	  ! [X0 : d,X5 : u,X6 : u] : (! [X7 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X7)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5)))) => (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ X7)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X6))))) <=> (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X6)))))),
5.21/1.02	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2ESUBSET__DEF)).
5.21/1.02	thf(f159,plain,(
5.21/1.02	  ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))) | spl6_1),
5.21/1.02	  inference(avatar_component_clause,[],[f157])).
5.21/1.02	thf(f185,plain,(
5.21/1.02	  spl6_2 | spl6_1),
5.21/1.02	  inference(avatar_split_clause,[],[f180,f157,f182])).
5.21/1.02	thf(f180,plain,(
5.21/1.02	  ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))))) | spl6_1),
5.21/1.02	  inference(trivial_inequality_removal,[],[f177])).
5.21/1.02	thf(f177,plain,(
5.21/1.02	  ($true != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ sK0) @ (((sK4 @ sK1) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))) @ sK0))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1))))))) | spl6_1),
5.21/1.02	  inference(superposition,[],[f159,f141])).
5.21/1.02	thf(f141,plain,(
5.21/1.02	  ( ! [X2 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X2)))) = $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Ebool_2EIN_2E2 @ ((s @ X0) @ (((sK4 @ X2) @ X1) @ X0))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))) )),
5.21/1.02	  inference(cnf_transformation,[],[f98])).
5.21/1.02	thf(f160,plain,(
5.21/1.02	  ~spl6_1),
5.21/1.02	  inference(avatar_split_clause,[],[f103,f157])).
5.21/1.02	thf(f103,plain,(
5.21/1.02	  ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))))),
5.21/1.02	  inference(cnf_transformation,[],[f78])).
5.21/1.02	thf(f78,plain,(
5.21/1.02	  ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))))),
5.21/1.02	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f73,f77])).
5.21/1.02	thf(f77,plain,(
5.21/1.02	  ? [X0 : d,X1 : u] : ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))) => ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))) @ ((s @ ((tyop_2Emin_2Efun @ sK0) @ tyop_2Emin_2Ebool)) @ sK1)))))),
5.21/1.02	  introduced(choice_axiom,[])).
5.21/1.02	thf(f73,plain,(
5.21/1.02	  ? [X0 : d,X1 : u] : ($true != (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))),
5.21/1.02	  inference(ennf_transformation,[],[f37])).
5.21/1.02	thf(f37,plain,(
5.21/1.02	  ~! [X0 : d,X1 : u] : ($true = (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))))),
5.21/1.02	  inference(fool_elimination,[],[f36])).
5.21/1.02	thf(f36,plain,(
5.21/1.02	  ~! [X0 : d,X1 : u] : (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1)))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X1))))),
5.21/1.02	  inference(rectify,[],[f11])).
5.21/1.02	thf(f11,negated_conjecture,(
5.21/1.02	  ~! [X0 : d,X5 : u] : (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5)))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5))))),
5.21/1.02	  inference(negated_conjecture,[],[f10])).
5.21/1.02	thf(f10,conjecture,(
5.21/1.02	  ! [X0 : d,X5 : u] : (j_mono_2Etyop_2Emin_2Ebool @ ((s @ tyop_2Emin_2Ebool) @ ((c_2Epred__set_2ESUBSET_2E2 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Epred__set_2EREST_2E1 @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5)))) @ ((s @ ((tyop_2Emin_2Efun @ X0) @ tyop_2Emin_2Ebool)) @ X5))))),
5.21/1.02	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__SUBSET)).
5.21/1.02	% SZS output end Proof for theBenchmark
5.21/1.02	% (5924)------------------------------
5.21/1.02	% (5924)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.21/1.02	% (5924)Termination reason: Refutation
5.21/1.02	
5.21/1.02	% (5924)Memory used [KB]: 9338
5.21/1.02	% (5924)Time elapsed: 0.656 s
5.21/1.02	% (5924)------------------------------
5.21/1.02	% (5924)------------------------------
5.21/1.02	% (5904)Success in time 0.68 s
5.21/1.02	EOF