0.00/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/0.13	% Command    : run_vampire %s %d
0.14/0.34	% Computer   : n021.cluster.edu
0.14/0.34	% Model      : x86_64 x86_64
0.14/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory     : 8042.1875MB
0.14/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 960
0.14/0.34	% WCLimit    : 120
0.14/0.34	% DateTime   : Thu Jul  2 09:24:52 EDT 2020
0.14/0.34	% CPUTime    : 
0.20/0.38	% (15127)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=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_3 on theBenchmark
0.20/0.40	% (15126)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.20/0.40	% (15142)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=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_30 on theBenchmark
0.20/0.40	% (15129)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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_13 on theBenchmark
0.20/0.41	% (15128)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=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_2 on theBenchmark
0.20/0.41	% (15149)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=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_130 on theBenchmark
0.20/0.41	% (15154)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=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_50 on theBenchmark
0.20/0.41	% (15130)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=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_14 on theBenchmark
0.20/0.41	% (15125)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.41	% (15138)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.20/0.41	% (15134)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=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_3 on theBenchmark
0.20/0.42	% (15143)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=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_6 on theBenchmark
0.20/0.42	% (15135)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_40 on theBenchmark
0.20/0.42	% (15147)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.20/0.42	% (15139)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=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_1 on theBenchmark
0.20/0.43	% (15144)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=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_8 on theBenchmark
0.20/0.43	% (15150)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=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_13 on theBenchmark
0.20/0.43	% (15141)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=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_300 on theBenchmark
0.20/0.43	% (15136)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=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_2 on theBenchmark
0.20/0.43	% (15145)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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_41 on theBenchmark
0.20/0.43	% (15151)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=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_300 on theBenchmark
0.20/0.43	% (15140)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=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_7 on theBenchmark
0.20/0.44	% (15131)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=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_3 on theBenchmark
0.20/0.44	% (15153)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=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
0.20/0.44	% (15137)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=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_2 on theBenchmark
0.20/0.44	% (15132)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.20/0.45	% (15133)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.45	% (15148)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=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_50 on theBenchmark
0.20/0.45	% (15152)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
0.20/0.45	% (15146)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
3.14/0.81	% (15139)Time limit reached!
3.14/0.81	% (15139)------------------------------
3.14/0.81	% (15139)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.14/0.81	% (15139)Termination reason: Time limit
3.14/0.81	
3.14/0.81	% (15139)Memory used [KB]: 8955
3.14/0.81	% (15139)Time elapsed: 0.417 s
3.14/0.81	% (15139)------------------------------
3.14/0.81	% (15139)------------------------------
3.80/0.85	% (15311)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
4.50/0.96	% (15128)Time limit reached!
4.50/0.96	% (15128)------------------------------
4.50/0.96	% (15128)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.50/0.97	% (15128)Termination reason: Time limit
4.50/0.97	% (15128)Termination phase: Saturation
4.50/0.97	
4.50/0.97	% (15128)Memory used [KB]: 15863
4.50/0.97	% (15128)Time elapsed: 0.500 s
4.50/0.97	% (15128)------------------------------
4.50/0.97	% (15128)------------------------------
4.50/1.00	% (15127)Time limit reached!
4.50/1.00	% (15127)------------------------------
4.50/1.00	% (15127)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.50/1.00	% (15127)Termination reason: Time limit
4.50/1.00	
4.50/1.00	% (15127)Memory used [KB]: 14072
4.50/1.00	% (15127)Time elapsed: 0.626 s
4.50/1.00	% (15127)------------------------------
4.50/1.00	% (15127)------------------------------
4.50/1.01	% (15131)Time limit reached!
4.50/1.01	% (15131)------------------------------
4.50/1.01	% (15131)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.50/1.01	% (15131)Termination reason: Time limit
4.50/1.01	
4.50/1.01	% (15131)Memory used [KB]: 19701
4.50/1.01	% (15131)Time elapsed: 0.615 s
4.50/1.01	% (15131)------------------------------
4.50/1.01	% (15131)------------------------------
5.07/1.02	% (15352)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
5.07/1.04	% (15353)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=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_26 on theBenchmark
5.07/1.06	% (15354)lrs+1011_8_add=large:csup=on:fe=off:foolp=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_30 on theBenchmark
5.60/1.12	% (15149)Refutation found. Thanks to Tanya!
5.60/1.12	% SZS status Theorem for theBenchmark
5.60/1.12	% SZS output start Proof for theBenchmark
5.60/1.12	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
5.60/1.12	tff(func_def_4, type, is_of: '$i' -> ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
5.60/1.12	tff(func_def_6, type, all_of: ('$i' -> '$o') -> ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_7, type, eps: ('$i' -> '$o') -> '$i').
5.60/1.12	tff(func_def_8, type, in: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_9, type, d_Subq: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_11, type, union: '$i' -> '$i').
5.60/1.12	tff(func_def_12, type, power: '$i' -> '$i').
5.60/1.12	tff(func_def_13, type, repl: '$i' -> ('$i' -> '$i') -> '$i').
5.60/1.12	tff(func_def_14, type, d_Union_closed: '$i' -> '$o').
5.60/1.12	tff(func_def_15, type, d_Power_closed: '$i' -> '$o').
5.60/1.12	tff(func_def_16, type, d_Repl_closed: '$i' -> '$o').
5.60/1.12	tff(func_def_17, type, d_ZF_closed: '$i' -> '$o').
5.60/1.12	tff(func_def_18, type, univof: '$i' -> '$i').
5.60/1.12	tff(func_def_19, type, if: '$o' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_20, type, nIn: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_21, type, d_UPair: '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_22, type, d_Sing: '$i' -> '$i').
5.60/1.12	tff(func_def_23, type, binunion: '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_24, type, famunion: '$i' -> ('$i' -> '$i') -> '$i').
5.60/1.12	tff(func_def_25, type, d_Sep: '$i' -> ('$i' -> '$o') -> '$i').
5.60/1.12	tff(func_def_26, type, d_ReplSep: '$i' -> ('$i' -> '$o') -> ('$i' -> '$i') -> '$i').
5.60/1.12	tff(func_def_27, type, setminus: '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_28, type, d_In_rec_G: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_29, type, d_In_rec: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i').
5.60/1.12	tff(func_def_30, type, ordsucc: '$i' -> '$i').
5.60/1.12	tff(func_def_31, type, nat_p: '$i' -> '$o').
5.60/1.12	tff(func_def_33, type, d_Inj1: '$i' -> '$i').
5.60/1.12	tff(func_def_34, type, d_Inj0: '$i' -> '$i').
5.60/1.12	tff(func_def_35, type, d_Unj: '$i' -> '$i').
5.60/1.12	tff(func_def_36, type, pair: '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_37, type, proj0: '$i' -> '$i').
5.60/1.12	tff(func_def_38, type, proj1: '$i' -> '$i').
5.60/1.12	tff(func_def_39, type, d_Sigma: '$i' -> ('$i' -> '$i') -> '$i').
5.60/1.12	tff(func_def_40, type, setprod: '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_41, type, ap: '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_42, type, pair_p: '$i' -> '$o').
5.60/1.12	tff(func_def_43, type, d_Pi: '$i' -> ('$i' -> '$i') -> '$i').
5.60/1.12	tff(func_def_44, type, imp: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_45, type, d_not: '$o' -> '$o').
5.60/1.12	tff(func_def_46, type, wel: '$o' -> '$o').
5.60/1.12	tff(func_def_48, type, l_ec: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_49, type, d_and: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_50, type, l_or: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_51, type, orec: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_52, type, l_iff: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_53, type, all: '$i' -> ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_54, type, non: '$i' -> ('$i' -> '$o') -> '$i' -> '$o').
5.60/1.12	tff(func_def_55, type, l_some: '$i' -> ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_56, type, or3: '$o' -> '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_57, type, and3: '$o' -> '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_58, type, ec3: '$o' -> '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_59, type, orec3: '$o' -> '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_60, type, e_is: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_61, type, amone: '$i' -> ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_62, type, one: '$i' -> ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_63, type, ind: '$i' -> ('$i' -> '$o') -> '$i').
5.60/1.12	tff(func_def_64, type, injective: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_65, type, image: '$i' -> '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_66, type, tofs: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_67, type, soft: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_68, type, inverse: '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_69, type, surjective: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_70, type, bijective: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_71, type, invf: '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_72, type, inj_h: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_73, type, e_in: '$i' -> ('$i' -> '$o') -> '$i' -> '$i').
5.60/1.12	tff(func_def_74, type, out: '$i' -> ('$i' -> '$o') -> '$i' -> '$i').
5.60/1.12	tff(func_def_75, type, d_pair: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_76, type, first: '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_77, type, second: '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_78, type, prop1: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_79, type, ite: '$o' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_80, type, wissel_wa: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_81, type, wissel_wb: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_82, type, wissel: '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_83, type, changef: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_84, type, r_ec: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_85, type, esti: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_86, type, empty: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_87, type, nonempty: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_88, type, incl: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_89, type, st_disj: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_90, type, nissetprop: '$i' -> '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_91, type, unmore: '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_92, type, ecelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
5.60/1.12	tff(func_def_93, type, ecp: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_94, type, anec: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$o').
5.60/1.12	tff(func_def_95, type, ect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i').
5.60/1.12	tff(func_def_96, type, ectset: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
5.60/1.12	tff(func_def_97, type, ectelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
5.60/1.12	tff(func_def_98, type, ecect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
5.60/1.12	tff(func_def_99, type, fixfu: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_100, type, d_10_prop1: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_101, type, prop2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_102, type, indeq: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_103, type, fixfu2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_104, type, d_11_i: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_105, type, indeq2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_107, type, n_is: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_108, type, nis: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_109, type, n_in: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_110, type, n_some: ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_111, type, n_all: ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_112, type, n_one: ('$i' -> '$o') -> '$o').
5.60/1.12	tff(func_def_114, type, cond1: '$i' -> '$o').
5.60/1.12	tff(func_def_115, type, cond2: '$i' -> '$o').
5.60/1.12	tff(func_def_116, type, i1_s: ('$i' -> '$o') -> '$i').
5.60/1.12	tff(func_def_117, type, d_22_prop1: '$i' -> '$o').
5.60/1.12	tff(func_def_118, type, d_23_prop1: '$i' -> '$o').
5.60/1.12	tff(func_def_119, type, d_24_prop1: '$i' -> '$o').
5.60/1.12	tff(func_def_120, type, d_24_prop2: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_121, type, prop3: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_122, type, prop4: '$i' -> '$o').
5.60/1.12	tff(func_def_123, type, d_24_g: '$i' -> '$i').
5.60/1.12	tff(func_def_124, type, plus: '$i' -> '$i').
5.60/1.12	tff(func_def_125, type, n_pl: '$i' -> '$i' -> '$i').
5.60/1.12	tff(func_def_126, type, d_25_prop1: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_127, type, d_26_prop1: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_128, type, d_27_prop1: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_129, type, d_28_prop1: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_130, type, diffprop: '$i' -> '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_131, type, d_29_ii: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_132, type, iii: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_133, type, d_29_prop1: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_134, type, moreis: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_135, type, lessis: '$i' -> '$i' -> '$o').
5.60/1.12	tff(func_def_136, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
5.60/1.12	tff(func_def_137, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
5.60/1.12	tff(func_def_138, type, vIMP: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_139, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
5.60/1.12	tff(func_def_140, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
5.60/1.12	tff(func_def_143, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
5.60/1.12	tff(func_def_144, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
5.60/1.12	tff(func_def_145, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
5.60/1.12	tff(func_def_146, type, vAND: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_147, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
5.60/1.12	tff(func_def_148, type, vNOT: '$o' -> '$o').
5.60/1.12	tff(func_def_149, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
5.60/1.12	tff(func_def_150, type, vOR: '$o' -> '$o' -> '$o').
5.60/1.12	tff(func_def_151, type, sK0: ('$i' -> '$o') -> '$i').
5.60/1.12	tff(f1,axiom,(
5.60/1.12	  is_of = (^[X0 : '$i', X1 : '$i' -> '$o'] : X1 @ X0)),
5.60/1.12	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_is_of)).
5.60/1.12	tff(f2,axiom,(
5.60/1.12	  all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))),
5.60/1.12	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)).
5.60/1.12	tff(f96,axiom,(
5.60/1.12	  e_is @ nat = n_is),
5.60/1.12	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)).
5.60/1.12	tff(f154,axiom,(
5.60/1.12	  ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X2 : '$i'] : all_of @ (^[X3 : '$i'] : in @ X3 @ X0) @ (^[X3 : '$i'] : X1 @ X2 => (e_is @ X0 @ X2 @ X3 => X1 @ X3)))),
5.60/1.12	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_isp)).
5.60/1.12	tff(f207,conjecture,(
5.60/1.12	  all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X2 : '$i'] : all_of @ (^[X3 : '$i'] : in @ X3 @ nat) @ (^[X3 : '$i'] : n_is @ X0 @ X1 => (d_29_ii @ X2 @ X3 => d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X3 @ X1))))))),
5.60/1.12	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19h)).
5.60/1.12	tff(f208,negated_conjecture,(
5.60/1.12	  ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X2 : '$i'] : all_of @ (^[X3 : '$i'] : in @ X3 @ nat) @ (^[X3 : '$i'] : n_is @ X0 @ X1 => (d_29_ii @ X2 @ X3 => d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X3 @ X1))))))),
5.60/1.12	  inference(negated_conjecture,[],[f207])).
5.60/1.12	tff(f231,axiom,(
5.60/1.12	  all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X2 : '$i'] : d_29_ii @ X0 @ X1 => d_29_ii @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2))))),
5.60/1.12	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19a)).
5.60/1.12	tff(f247,plain,(
5.60/1.12	  ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : all_of @ (^[X4 : '$i'] : in @ X4 @ nat) @ (^[X5 : '$i'] : all_of @ (^[X6 : '$i'] : in @ X6 @ nat) @ (^[X7 : '$i'] : n_is @ X1 @ X3 => (d_29_ii @ X5 @ X7 => d_29_ii @ (n_pl @ X5 @ X1) @ (n_pl @ X7 @ X3))))))),
5.60/1.12	  inference(rectify,[],[f208])).
5.60/1.12	tff(f248,plain,(
5.60/1.12	  ~(all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ n_is)))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl))))))) = $true)),
5.60/1.12	  inference(fool_elimination,[],[f247])).
5.60/1.12	tff(f365,plain,(
5.60/1.12	  is_of = cCOMB @ iCOMB),
5.60/1.12	  inference(fool_elimination,[],[f1])).
5.60/1.12	tff(f382,plain,(
5.60/1.12	  all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))),
5.60/1.12	  inference(rectify,[],[f2])).
5.60/1.12	tff(f383,plain,(
5.60/1.12	  bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of),
5.60/1.12	  inference(fool_elimination,[],[f382])).
5.60/1.12	tff(f438,plain,(
5.60/1.12	  ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X3 : '$i'] : all_of @ (^[X4 : '$i'] : in @ X4 @ X0) @ (^[X5 : '$i'] : X1 @ X3 => (e_is @ X0 @ X3 @ X5 => X1 @ X5)))),
5.60/1.12	  inference(rectify,[],[f154])).
5.60/1.12	tff(f439,plain,(
5.60/1.12	  ! [X0,X1 : '$i' -> '$o'] : (all_of @ (cCOMB @ in @ X0) @ (bCOMB @ (all_of @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)),
5.60/1.12	  inference(fool_elimination,[],[f438])).
5.60/1.12	tff(f602,plain,(
5.60/1.12	  all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : all_of @ (^[X4 : '$i'] : in @ X4 @ nat) @ (^[X5 : '$i'] : d_29_ii @ X1 @ X3 => d_29_ii @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X5))))),
5.60/1.12	  inference(rectify,[],[f231])).
5.60/1.12	tff(f603,plain,(
5.60/1.12	  (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ n_pl))) @ n_pl)))) = $true)),
5.60/1.12	  inference(fool_elimination,[],[f602])).
5.60/1.12	tff(f614,plain,(
5.60/1.12	  (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ n_is)))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl))))))) != $true)),
5.60/1.12	  inference(flattening,[],[f248])).
5.60/1.12	tff(f621,plain,(
5.60/1.12	  (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ n_is)))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl))))))) != $true)),
5.60/1.12	  inference(cnf_transformation,[],[f614])).
5.60/1.12	tff(f628,plain,(
5.60/1.12	  (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (all_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ n_pl))) @ n_pl)))) = $true)),
5.60/1.12	  inference(cnf_transformation,[],[f603])).
5.60/1.12	tff(f648,plain,(
5.60/1.12	  e_is @ nat = n_is),
5.60/1.12	  inference(cnf_transformation,[],[f96])).
5.60/1.12	tff(f656,plain,(
5.60/1.12	  is_of = cCOMB @ iCOMB),
5.60/1.12	  inference(cnf_transformation,[],[f365])).
5.60/1.14	tff(f662,plain,(
5.60/1.14	  ( ! [X0,X1:'$i' -> '$o'] : ((all_of @ (cCOMB @ in @ X0) @ (bCOMB @ (all_of @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )),
5.60/1.14	  inference(cnf_transformation,[],[f439])).
5.60/1.14	tff(f674,plain,(
5.60/1.14	  bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of),
5.60/1.14	  inference(cnf_transformation,[],[f383])).
5.60/1.14	tff(f686,plain,(
5.60/1.14	  bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) = all_of),
5.60/1.14	  inference(definition_unfolding,[],[f674,f656])).
5.60/1.14	tff(f689,plain,(
5.60/1.14	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl))))))) != $true)),
5.60/1.14	  inference(definition_unfolding,[],[f621,f686,f686,f686,f686,f648])).
5.60/1.14	tff(f694,plain,(
5.60/1.14	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ n_pl))) @ n_pl)))) = $true)),
5.60/1.14	  inference(definition_unfolding,[],[f628,f686,f686,f686])).
5.60/1.14	tff(f723,plain,(
5.60/1.14	  ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ X0) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )),
5.60/1.14	  inference(definition_unfolding,[],[f662,f686,f686])).
5.60/1.14	tff(f797,plain,(
5.60/1.14	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ n_pl))) @ n_pl)))) = $true)),
5.60/1.14	  inference(combinator_normalisation,[],[f694])).
5.60/1.14	tff(f798,plain,(
5.60/1.14	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ n_pl))) @ n_pl)))) = $true)),
5.60/1.14	  inference(combinator_normalisation,[],[f797])).
5.60/1.14	tff(f799,plain,(
5.60/1.14	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ n_pl))) @ n_pl))))) = $true)),
5.60/1.14	  inference(combinator_demodulation,[],[f798])).
5.60/1.14	tff(f800,plain,(
5.60/1.14	  ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ n_pl))) @ n_pl)))) @ X1 = $true)) )),
5.60/1.14	  inference(pi_clausification,[],[f799])).
5.60/1.14	tff(f801,plain,(
5.60/1.14	  ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1))) @ (bCOMB @ (sCOMB @ (bCOMB @ d_29_ii @ (n_pl @ X1))) @ n_pl))))) = $true)) )),
5.60/1.14	  inference(combinator_demodulation,[],[f800])).
5.60/1.14	tff(f802,plain,(
5.60/1.14	  ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1))) @ (bCOMB @ (sCOMB @ (bCOMB @ d_29_ii @ (n_pl @ X1))) @ n_pl)))) = $true)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f801])).
5.60/1.14	tff(f803,plain,(
5.60/1.14	  ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1))) @ (bCOMB @ (sCOMB @ (bCOMB @ d_29_ii @ (n_pl @ X1))) @ n_pl))) @ X2 = $true)) )),
5.60/1.14	  inference(pi_clausification,[],[f802])).
5.60/1.14	tff(f804,plain,(
5.60/1.14	  ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (vIMP @ (d_29_ii @ X1 @ X2)) @ (sCOMB @ (bCOMB @ d_29_ii @ (n_pl @ X1)) @ (n_pl @ X2))))) = $true)) )),
5.60/1.14	  inference(combinator_demodulation,[],[f803])).
5.60/1.14	tff(f805,plain,(
5.60/1.14	  ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (vIMP @ (d_29_ii @ X1 @ X2)) @ (sCOMB @ (bCOMB @ d_29_ii @ (n_pl @ X1)) @ (n_pl @ X2)))) = $true)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f804])).
5.60/1.14	tff(f806,plain,(
5.60/1.14	  ( ! [X2,X3,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (vIMP @ (d_29_ii @ X1 @ X2)) @ (sCOMB @ (bCOMB @ d_29_ii @ (n_pl @ X1)) @ (n_pl @ X2))) @ X3 = $true)) )),
5.60/1.14	  inference(pi_clausification,[],[f805])).
5.60/1.14	tff(f807,plain,(
5.60/1.14	  ( ! [X2,X3,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (in @ X3 @ nat) @ (vIMP @ (d_29_ii @ X1 @ X2) @ (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3))) = $true)) )),
5.60/1.14	  inference(combinator_demodulation,[],[f806])).
5.60/1.14	tff(f808,plain,(
5.60/1.14	  ( ! [X2,X3,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (in @ X3 @ nat = $false) | (vIMP @ (d_29_ii @ X1 @ X2) @ (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3)) = $true)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f807])).
5.60/1.14	tff(f809,plain,(
5.60/1.14	  ( ! [X2,X3,X1] : ((d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3) = $true) | (in @ X2 @ nat = $false) | (in @ X3 @ nat = $false) | (d_29_ii @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f808])).
5.60/1.14	tff(f1094,plain,(
5.60/1.14	  ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ X0) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )),
5.60/1.14	  inference(combinator_normalisation,[],[f723])).
5.60/1.14	tff(f1095,plain,(
5.60/1.14	  ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ X0) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )),
5.60/1.14	  inference(combinator_normalisation,[],[f1094])).
5.60/1.14	tff(f1096,plain,(
5.60/1.14	  ( ! [X0,X1:'$i' -> '$o'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X0)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X0)))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1)))) = $true)) )),
5.60/1.14	  inference(combinator_demodulation,[],[f1095])).
5.60/1.14	tff(f1097,plain,(
5.60/1.14	  ( ! [X2,X0,X1:'$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X0)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X0)))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) @ X2 = $true)) )),
5.60/1.14	  inference(pi_clausification,[],[f1096])).
5.60/1.14	tff(f1098,plain,(
5.60/1.14	  ( ! [X2,X0,X1:'$i' -> '$o'] : ((vIMP @ (in @ X2 @ X0) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X0)) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1)))) = $true)) )),
5.60/1.14	  inference(combinator_demodulation,[],[f1097])).
5.60/1.14	tff(f1099,plain,(
5.60/1.14	  ( ! [X2,X0,X1:'$i' -> '$o'] : ((in @ X2 @ X0 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X0)) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1))) = $true)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1098])).
5.60/1.14	tff(f1100,plain,(
5.60/1.14	  ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((in @ X2 @ X0 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X0)) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1)) @ X3 = $true)) )),
5.60/1.14	  inference(pi_clausification,[],[f1099])).
5.60/1.14	tff(f1101,plain,(
5.60/1.14	  ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((in @ X2 @ X0 = $false) | (vIMP @ (in @ X3 @ X0) @ (vIMP @ (X1 @ X2) @ (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3))) = $true)) )),
5.60/1.14	  inference(combinator_demodulation,[],[f1100])).
5.60/1.14	tff(f1102,plain,(
5.60/1.14	  ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((in @ X2 @ X0 = $false) | (in @ X3 @ X0 = $false) | (vIMP @ (X1 @ X2) @ (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3)) = $true)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1101])).
5.60/1.14	tff(f1103,plain,(
5.60/1.14	  ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((in @ X2 @ X0 = $false) | (in @ X3 @ X0 = $false) | (X1 @ X2 = $false) | (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3) = $true)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1102])).
5.60/1.14	tff(f1104,plain,(
5.60/1.14	  ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((in @ X2 @ X0 = $false) | (in @ X3 @ X0 = $false) | (X1 @ X2 = $false) | (e_is @ X0 @ X2 @ X3 = $false) | (X1 @ X3 = $true)) )),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1103])).
5.60/1.14	tff(f1242,plain,(
5.60/1.14	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl))))))) != $true)),
5.60/1.14	  inference(combinator_normalisation,[],[f689])).
5.60/1.14	tff(f1243,plain,(
5.60/1.14	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl))))))) != $true)),
5.60/1.14	  inference(combinator_normalisation,[],[f1242])).
5.60/1.14	tff(f1244,plain,(
5.60/1.14	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl)))))))) != $true)),
5.60/1.14	  inference(combinator_demodulation,[],[f1243])).
5.60/1.14	tff(f1245,plain,(
5.60/1.14	  (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ n_pl))))) @ (cCOMB @ n_pl))))))) @ sK2 = $false)),
5.60/1.14	  inference(sigma_clausification,[],[f1244])).
5.60/1.14	tff(f1246,plain,(
5.60/1.14	  (vIMP @ (in @ sK2 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (e_is @ nat @ sK2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ d_29_ii @ (cCOMB @ n_pl @ sK2)))) @ (cCOMB @ n_pl)))))))) = $false)),
5.60/1.14	  inference(combinator_demodulation,[],[f1245])).
5.60/1.14	tff(f1247,plain,(
5.60/1.14	  (in @ sK2 @ nat = $true)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1246])).
5.60/1.14	tff(f1248,plain,(
5.60/1.14	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (e_is @ nat @ sK2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ d_29_ii @ (cCOMB @ n_pl @ sK2)))) @ (cCOMB @ n_pl))))))) = $false)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1246])).
5.60/1.14	tff(f1249,plain,(
5.60/1.14	  (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (e_is @ nat @ sK2)))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ d_29_ii @ (cCOMB @ n_pl @ sK2)))) @ (cCOMB @ n_pl)))))) @ sK3 = $false)),
5.60/1.14	  inference(sigma_clausification,[],[f1248])).
5.60/1.14	tff(f1250,plain,(
5.60/1.14	  (vIMP @ (in @ sK3 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (vIMP @ (e_is @ nat @ sK2 @ sK3))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ d_29_ii @ (cCOMB @ n_pl @ sK2))) @ (cCOMB @ n_pl @ sK3))))))) = $false)),
5.60/1.14	  inference(combinator_demodulation,[],[f1249])).
5.60/1.14	tff(f1251,plain,(
5.60/1.14	  (in @ sK3 @ nat = $true)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1250])).
5.60/1.14	tff(f1252,plain,(
5.60/1.14	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (vIMP @ (e_is @ nat @ sK2 @ sK3))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ d_29_ii @ (cCOMB @ n_pl @ sK2))) @ (cCOMB @ n_pl @ sK3)))))) = $false)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1250])).
5.60/1.14	tff(f1253,plain,(
5.60/1.14	  (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (bCOMB @ (bCOMB @ (vIMP @ (e_is @ nat @ sK2 @ sK3))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ d_29_ii @ (cCOMB @ n_pl @ sK2))) @ (cCOMB @ n_pl @ sK3))))) @ sK4 = $false)),
5.60/1.14	  inference(sigma_clausification,[],[f1252])).
5.60/1.14	tff(f1254,plain,(
5.60/1.14	  (vIMP @ (in @ sK4 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (vIMP @ (e_is @ nat @ sK2 @ sK3)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ sK4)) @ (bCOMB @ (d_29_ii @ (n_pl @ sK4 @ sK2)) @ (cCOMB @ n_pl @ sK3)))))) = $false)),
5.60/1.14	  inference(combinator_demodulation,[],[f1253])).
5.60/1.14	tff(f1255,plain,(
5.60/1.14	  (in @ sK4 @ nat = $true)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1254])).
5.60/1.14	tff(f1256,plain,(
5.60/1.14	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (vIMP @ (e_is @ nat @ sK2 @ sK3)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ sK4)) @ (bCOMB @ (d_29_ii @ (n_pl @ sK4 @ sK2)) @ (cCOMB @ n_pl @ sK3))))) = $false)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1254])).
5.60/1.14	tff(f1257,plain,(
5.60/1.14	  (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (vIMP @ (e_is @ nat @ sK2 @ sK3)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ sK4)) @ (bCOMB @ (d_29_ii @ (n_pl @ sK4 @ sK2)) @ (cCOMB @ n_pl @ sK3)))) @ sK5 = $false)),
5.60/1.14	  inference(sigma_clausification,[],[f1256])).
5.60/1.14	tff(f1258,plain,(
5.60/1.14	  (vIMP @ (in @ sK5 @ nat) @ (vIMP @ (e_is @ nat @ sK2 @ sK3) @ (vIMP @ (d_29_ii @ sK4 @ sK5) @ (d_29_ii @ (n_pl @ sK4 @ sK2) @ (n_pl @ sK5 @ sK3)))) = $false)),
5.60/1.14	  inference(combinator_demodulation,[],[f1257])).
5.60/1.14	tff(f1259,plain,(
5.60/1.14	  (in @ sK5 @ nat = $true)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1258])).
5.60/1.14	tff(f1260,plain,(
5.60/1.14	  (vIMP @ (e_is @ nat @ sK2 @ sK3) @ (vIMP @ (d_29_ii @ sK4 @ sK5) @ (d_29_ii @ (n_pl @ sK4 @ sK2) @ (n_pl @ sK5 @ sK3))) = $false)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1258])).
5.60/1.14	tff(f1261,plain,(
5.60/1.14	  (e_is @ nat @ sK2 @ sK3 = $true)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1260])).
5.60/1.14	tff(f1262,plain,(
5.60/1.14	  (vIMP @ (d_29_ii @ sK4 @ sK5) @ (d_29_ii @ (n_pl @ sK4 @ sK2) @ (n_pl @ sK5 @ sK3)) = $false)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1260])).
5.60/1.14	tff(f1263,plain,(
5.60/1.14	  (d_29_ii @ sK4 @ sK5 = $true)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1262])).
5.60/1.14	tff(f1264,plain,(
5.60/1.14	  (d_29_ii @ (n_pl @ sK4 @ sK2) @ (n_pl @ sK5 @ sK3) = $false)),
5.60/1.14	  inference(binary_proxy_clausification,[],[f1262])).
5.60/1.14	tff(f1276,plain,(
5.60/1.14	  ( ! [X17:'$i' -> '$o',X16] : (($false = $true) | (in @ X16 @ nat = $false) | (X17 @ sK2 = $false) | (e_is @ nat @ sK2 @ X16 = $false) | (X17 @ X16 = $true)) )),
5.60/1.14	  inference(superposition,[],[f1247,f1104])).
5.60/1.14	tff(f1299,plain,(
5.60/1.14	  ( ! [X17:'$i' -> '$o',X16] : ((e_is @ nat @ sK2 @ X16 = $false) | (X17 @ sK2 = $false) | (in @ X16 @ nat = $false) | (X17 @ X16 = $true)) )),
5.60/1.14	  inference(trivial_inequality_removal,[],[f1276])).
5.60/1.14	tff(f1489,plain,(
5.60/1.14	  ( ! [X2:'$i' -> '$o'] : (($false = $true) | (X2 @ sK2 = $false) | (in @ sK3 @ nat = $false) | (X2 @ sK3 = $true)) )),
5.60/1.14	  inference(superposition,[],[f1299,f1261])).
5.60/1.14	tff(f1502,plain,(
5.60/1.14	  ( ! [X2:'$i' -> '$o'] : ((X2 @ sK2 = $false) | (in @ sK3 @ nat = $false) | (X2 @ sK3 = $true)) )),
5.60/1.14	  inference(trivial_inequality_removal,[],[f1489])).
5.60/1.14	tff(f2119,plain,(
5.60/1.14	  spl1_14 <=> (in @ sK3 @ nat = $false)),
5.60/1.14	  introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
5.60/1.14	tff(f2120,plain,(
5.60/1.14	  (in @ sK3 @ nat = $false) | ~spl1_14),
5.60/1.14	  inference(avatar_component_clause,[],[f2119])).
5.60/1.14	tff(f2122,plain,(
5.60/1.14	  spl1_16 <=> ! [X2 : '$i' -> '$o'] : ((X2 @ sK2 = $false) | (X2 @ sK3 = $true))),
5.60/1.14	  introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
5.60/1.14	tff(f2123,plain,(
5.60/1.14	  ( ! [X2:'$i' -> '$o'] : ((X2 @ sK3 = $true) | (X2 @ sK2 = $false)) ) | ~spl1_16),
5.60/1.14	  inference(avatar_component_clause,[],[f2122])).
5.60/1.14	tff(f2124,plain,(
5.60/1.14	  spl1_14 | spl1_16),
5.60/1.14	  inference(avatar_split_clause,[],[f1502,f2122,f2119])).
5.60/1.14	tff(f2125,plain,(
5.60/1.14	  ($false = $true) | ~spl1_14),
5.60/1.14	  inference(backward_demodulation,[],[f2120,f1251])).
5.60/1.14	tff(f2126,plain,(
5.60/1.14	  $false | ~spl1_14),
5.60/1.14	  inference(trivial_inequality_removal,[],[f2125])).
5.60/1.14	tff(f2127,plain,(
5.60/1.14	  ~spl1_14),
5.60/1.14	  inference(avatar_contradiction_clause,[],[f2126])).
5.60/1.14	tff(f2231,plain,(
5.60/1.14	  sK2 = sK3 | ~spl1_16),
5.60/1.14	  inference(leibniz_equality_elimination,[],[f2123])).
5.60/1.14	tff(f2289,plain,(
5.60/1.14	  (d_29_ii @ (n_pl @ sK4 @ sK2) @ (n_pl @ sK5 @ sK2) = $false) | ~spl1_16),
5.60/1.14	  inference(backward_demodulation,[],[f2231,f1264])).
5.60/1.14	tff(f3135,plain,(
5.60/1.14	  ($false = $true) | (in @ sK5 @ nat = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK4 @ sK5 = $false) | (in @ sK4 @ nat = $false) | ~spl1_16),
5.60/1.14	  inference(superposition,[],[f2289,f809])).
5.60/1.14	tff(f3141,plain,(
5.60/1.14	  (in @ sK5 @ nat = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK4 @ sK5 = $false) | (in @ sK4 @ nat = $false) | ~spl1_16),
5.60/1.14	  inference(trivial_inequality_removal,[],[f3135])).
5.60/1.14	tff(f3142,plain,(
5.60/1.14	  ($false = $true) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK4 @ sK5 = $false) | (in @ sK4 @ nat = $false) | ~spl1_16),
5.60/1.14	  inference(forward_demodulation,[],[f3141,f1259])).
5.60/1.14	tff(f3143,plain,(
5.60/1.14	  (in @ sK2 @ nat = $false) | (d_29_ii @ sK4 @ sK5 = $false) | (in @ sK4 @ nat = $false) | ~spl1_16),
5.60/1.14	  inference(trivial_inequality_removal,[],[f3142])).
5.60/1.14	tff(f3144,plain,(
5.60/1.14	  ($false = $true) | (d_29_ii @ sK4 @ sK5 = $false) | (in @ sK4 @ nat = $false) | ~spl1_16),
5.60/1.14	  inference(forward_demodulation,[],[f3143,f1247])).
5.60/1.14	tff(f3145,plain,(
5.60/1.14	  (d_29_ii @ sK4 @ sK5 = $false) | (in @ sK4 @ nat = $false) | ~spl1_16),
5.60/1.14	  inference(trivial_inequality_removal,[],[f3144])).
5.60/1.14	tff(f3146,plain,(
5.60/1.14	  ($false = $true) | (d_29_ii @ sK4 @ sK5 = $false) | ~spl1_16),
5.60/1.14	  inference(forward_demodulation,[],[f3145,f1255])).
5.60/1.14	tff(f3147,plain,(
5.60/1.14	  (d_29_ii @ sK4 @ sK5 = $false) | ~spl1_16),
5.60/1.14	  inference(trivial_inequality_removal,[],[f3146])).
5.60/1.14	tff(f3148,plain,(
5.60/1.14	  ($false = $true) | ~spl1_16),
5.60/1.14	  inference(backward_demodulation,[],[f3147,f1263])).
5.60/1.14	tff(f3149,plain,(
5.60/1.14	  $false | ~spl1_16),
5.60/1.14	  inference(trivial_inequality_removal,[],[f3148])).
5.60/1.14	tff(f3150,plain,(
5.60/1.14	  ~spl1_16),
5.60/1.14	  inference(avatar_contradiction_clause,[],[f3149])).
5.60/1.14	tff(f3152,plain,(
5.60/1.14	  $false),
5.60/1.14	  inference(avatar_sat_refutation,[],[f2124,f2127,f3150])).
5.60/1.14	% SZS output end Proof for theBenchmark
5.60/1.14	% (15149)------------------------------
5.60/1.14	% (15149)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.60/1.14	% (15149)Termination reason: Refutation
5.60/1.14	
5.60/1.14	% (15149)Memory used [KB]: 8699
5.60/1.14	% (15149)Time elapsed: 0.740 s
5.60/1.14	% (15149)------------------------------
5.60/1.14	% (15149)------------------------------
5.60/1.15	% (15115)Success in time 0.79 s
5.60/1.15	EOF