0.11/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : run_vampire %s %d
0.13/0.35	% Computer   : n026.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 960
0.13/0.35	% WCLimit    : 120
0.13/0.35	% DateTime   : Thu Jul  2 07:57:39 EDT 2020
0.13/0.35	% CPUTime    : 
0.13/0.39	% (15408)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
0.13/0.39	% (15406)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
0.13/0.40	% (15400)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
0.13/0.41	% (15423)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
0.13/0.41	% (15402)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
0.13/0.41	% (15403)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
0.13/0.41	% (15404)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
0.13/0.41	% (15405)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
0.13/0.41	% (15401)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
0.13/0.41	% (15415)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
0.20/0.42	% (15418)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	% (15407)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
0.20/0.42	% (15422)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	% (15425)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	% (15416)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	% (15427)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
0.20/0.43	% (15429)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
0.20/0.43	% (15428)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
0.20/0.43	% (15410)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
0.20/0.43	% (15414)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	% (15424)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
0.20/0.44	% (15426)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
0.20/0.44	% (15417)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
0.20/0.44	% (15419)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
0.20/0.44	% (15421)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
0.20/0.44	% (15412)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	% (15409)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
0.20/0.44	% (15420)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
0.20/0.45	% (15411)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
0.20/0.45	% (15413)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
0.20/0.49	% (15423)Refutation not found, incomplete strategy
0.20/0.49	% (15423)------------------------------
0.20/0.49	% (15423)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.49	% (15423)Termination reason: Refutation not found, incomplete strategy
0.20/0.49	
0.20/0.49	% (15423)Memory used [KB]: 10234
0.20/0.49	% (15423)Time elapsed: 0.094 s
0.20/0.49	% (15423)------------------------------
0.20/0.49	% (15423)------------------------------
0.20/0.50	% (15403)Refutation not found, incomplete strategy
0.20/0.50	% (15403)------------------------------
0.20/0.50	% (15403)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.50	% (15403)Termination reason: Refutation not found, incomplete strategy
0.20/0.50	
0.20/0.50	% (15403)Memory used [KB]: 10234
0.20/0.50	% (15403)Time elapsed: 0.113 s
0.20/0.50	% (15403)------------------------------
0.20/0.50	% (15403)------------------------------
0.20/0.53	% (15402)Refutation not found, incomplete strategy
0.20/0.53	% (15402)------------------------------
0.20/0.53	% (15402)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.54	% (15426)Refutation not found, incomplete strategy
0.20/0.54	% (15426)------------------------------
0.20/0.54	% (15426)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.54	% (15426)Termination reason: Refutation not found, incomplete strategy
0.20/0.54	
0.20/0.54	% (15426)Memory used [KB]: 10106
0.20/0.54	% (15426)Time elapsed: 0.136 s
0.20/0.54	% (15426)------------------------------
0.20/0.54	% (15426)------------------------------
0.20/0.54	% (15402)Termination reason: Refutation not found, incomplete strategy
0.20/0.54	
0.20/0.54	% (15402)Memory used [KB]: 10106
0.20/0.54	% (15402)Time elapsed: 0.144 s
0.20/0.54	% (15402)------------------------------
0.20/0.54	% (15402)------------------------------
0.20/0.54	% (15442)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
0.20/0.56	% (15410)Refutation not found, incomplete strategy
0.20/0.56	% (15410)------------------------------
0.20/0.56	% (15410)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.56	% (15410)Termination reason: Refutation not found, incomplete strategy
0.20/0.56	
0.20/0.56	% (15410)Memory used [KB]: 10618
0.20/0.56	% (15410)Time elapsed: 0.169 s
0.20/0.56	% (15410)------------------------------
0.20/0.56	% (15410)------------------------------
0.20/0.56	% (15443)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
0.20/0.59	% (15445)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
0.20/0.60	% (15444)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
1.84/0.62	% (15446)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off: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_27 on theBenchmark
2.01/0.63	% (15416)Refutation found. Thanks to Tanya!
2.01/0.63	% SZS status Theorem for theBenchmark
2.01/0.63	% SZS output start Proof for theBenchmark
2.01/0.63	tff(func_def_0, type, mu: '$tType').
2.01/0.63	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
2.01/0.63	tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o').
2.01/0.63	tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
2.01/0.63	tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_19, type, mtrue: '$i' -> '$o').
2.01/0.63	tff(func_def_20, type, mfalse: '$i' -> '$o').
2.01/0.63	tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o').
2.01/0.63	tff(func_def_37, type, rel_s5: '$i' -> '$i' -> '$o').
2.01/0.63	tff(func_def_38, type, mbox_s5: ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_39, type, mdia_s5: ('$i' -> '$o') -> '$i' -> '$o').
2.01/0.63	tff(func_def_40, type, p: '$i' -> '$o').
2.01/0.63	tff(func_def_41, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
2.01/0.63	tff(func_def_44, type, vNOT: '$o' -> '$o').
2.01/0.63	tff(func_def_45, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
2.01/0.63	tff(func_def_46, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
2.01/0.63	tff(func_def_47, type, vAND: '$o' -> '$o' -> '$o').
2.01/0.63	tff(func_def_48, type, vIMP: '$o' -> '$o' -> '$o').
2.01/0.63	tff(func_def_49, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
2.01/0.63	tff(func_def_50, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
2.01/0.63	tff(func_def_51, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
2.01/0.63	tff(func_def_52, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
2.01/0.63	tff(func_def_53, type, vOR: '$o' -> '$o' -> '$o').
2.01/0.63	tff(func_def_54, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
2.01/0.63	tff(func_def_55, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
2.01/0.63	tff(func_def_59, type, sK3: '$i' -> '$i').
2.01/0.63	tff(func_def_60, type, sK4: '$i' -> '$i').
2.01/0.63	tff(func_def_64, type, sK8: '$i' -> '$i').
2.01/0.63	tff(func_def_65, type, sK9: '$i' -> '$i').
2.01/0.63	tff(func_def_66, type, sK10: '$i' -> '$i').
2.01/0.63	tff(func_def_67, type, sK11: '$i' -> '$i').
2.01/0.63	tff(f3,axiom,(
2.01/0.63	  mnot = (^[X3 : '$i' -> '$o', X2 : '$i'] : ~X3 @ X2)),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
2.01/0.63	tff(f4,axiom,(
2.01/0.63	  mor = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X4 @ X2 | X3 @ X2)),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
2.01/0.63	tff(f5,axiom,(
2.01/0.63	  mand = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
2.01/0.63	tff(f6,axiom,(
2.01/0.63	  mimplies = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mor @ (mnot @ X3) @ X4)),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
2.01/0.63	tff(f8,axiom,(
2.01/0.63	  mequiv = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mand @ (mimplies @ X3 @ X4) @ (mimplies @ X4 @ X3))),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)).
2.01/0.63	tff(f18,axiom,(
2.01/0.63	  mreflexive = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8] : X6 @ X8 @ X8)),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
2.01/0.63	tff(f19,axiom,(
2.01/0.63	  msymmetric = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9] : (X6 @ X8 @ X9 => X6 @ X9 @ X8))),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
2.01/0.63	tff(f21,axiom,(
2.01/0.63	  mtransitive = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9,X10] : ((X6 @ X9 @ X10 & X6 @ X8 @ X9) => X6 @ X8 @ X10))),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
2.01/0.63	tff(f28,axiom,(
2.01/0.63	  mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
2.01/0.63	tff(f32,axiom,(
2.01/0.63	  mbox_s5 = (^[X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~rel_s5 @ X2 @ X7))),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s5)).
2.01/0.63	tff(f33,axiom,(
2.01/0.63	  mdia_s5 = (^[X3 : '$i' -> '$o'] : mnot @ (mbox_s5 @ (mnot @ X3)))),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_s5)).
2.01/0.63	tff(f34,axiom,(
2.01/0.63	  msymmetric @ rel_s5),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3)).
2.01/0.63	tff(f35,axiom,(
2.01/0.63	  mreflexive @ rel_s5),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1)).
2.01/0.63	tff(f36,axiom,(
2.01/0.63	  mtransitive @ rel_s5),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2)).
2.01/0.63	tff(f37,conjecture,(
2.01/0.63	  mvalid @ (mequiv @ (mdia_s5 @ (mdia_s5 @ (mdia_s5 @ (mbox_s5 @ p)))) @ (mbox_s5 @ p))),
2.01/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
2.01/0.63	tff(f38,negated_conjecture,(
2.01/0.63	  ~mvalid @ (mequiv @ (mdia_s5 @ (mdia_s5 @ (mdia_s5 @ (mbox_s5 @ p)))) @ (mbox_s5 @ p))),
2.01/0.63	  inference(negated_conjecture,[],[f37])).
2.01/0.63	tff(f39,plain,(
2.01/0.63	  ~mvalid @ (mequiv @ (mdia_s5 @ (mdia_s5 @ (mdia_s5 @ (mbox_s5 @ p)))) @ (mbox_s5 @ p))),
2.01/0.63	  inference(rectify,[],[f38])).
2.01/0.63	tff(f40,plain,(
2.01/0.63	  ~(mvalid @ (mequiv @ (mdia_s5 @ (mdia_s5 @ (mdia_s5 @ (mbox_s5 @ p)))) @ (mbox_s5 @ p)) = $true)),
2.01/0.63	  inference(fool_elimination,[],[f39])).
2.01/0.63	tff(f73,plain,(
2.01/0.63	  mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)),
2.01/0.63	  inference(rectify,[],[f28])).
2.01/0.63	tff(f74,plain,(
2.01/0.63	  mvalid = vPI('$i')),
2.01/0.63	  inference(fool_elimination,[],[f73])).
2.01/0.63	tff(f75,plain,(
2.01/0.63	  mreflexive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1] : X0 @ X1 @ X1)),
2.01/0.63	  inference(rectify,[],[f18])).
2.01/0.63	tff(f76,plain,(
2.01/0.63	  bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive),
2.01/0.63	  inference(fool_elimination,[],[f75])).
2.01/0.63	tff(f77,plain,(
2.01/0.63	  msymmetric = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2] : (X0 @ X1 @ X2 => X0 @ X2 @ X1))),
2.01/0.63	  inference(rectify,[],[f19])).
2.01/0.63	tff(f78,plain,(
2.01/0.63	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) = msymmetric),
2.01/0.63	  inference(fool_elimination,[],[f77])).
2.01/0.63	tff(f79,plain,(
2.01/0.63	  mtransitive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2,X3] : ((X0 @ X2 @ X3 & X0 @ X1 @ X2) => X0 @ X1 @ X3))),
2.01/0.63	  inference(rectify,[],[f21])).
2.20/0.65	tff(f80,plain,(
2.20/0.65	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = mtransitive),
2.20/0.65	  inference(fool_elimination,[],[f79])).
2.20/0.65	tff(f83,plain,(
2.20/0.65	  mand = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))),
2.20/0.65	  inference(rectify,[],[f5])).
2.20/0.65	tff(f84,plain,(
2.20/0.65	  bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ mor @ mnot)) @ mnot) = mand),
2.20/0.65	  inference(fool_elimination,[],[f83])).
2.20/0.65	tff(f87,plain,(
2.20/0.65	  mimplies = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mor @ (mnot @ X0) @ X1)),
2.20/0.65	  inference(rectify,[],[f6])).
2.20/0.65	tff(f88,plain,(
2.20/0.65	  bCOMB @ mor @ mnot = mimplies),
2.20/0.65	  inference(fool_elimination,[],[f87])).
2.20/0.65	tff(f89,plain,(
2.20/0.65	  mequiv = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mand @ (mimplies @ X0 @ X1) @ (mimplies @ X1 @ X0))),
2.20/0.65	  inference(rectify,[],[f8])).
2.20/0.65	tff(f90,plain,(
2.20/0.65	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ mand) @ mimplies)) @ (cCOMB @ mimplies) = mequiv),
2.20/0.65	  inference(fool_elimination,[],[f89])).
2.20/0.65	tff(f95,plain,(
2.20/0.65	  mdia_s5 = (^[X0 : '$i' -> '$o'] : mnot @ (mbox_s5 @ (mnot @ X0)))),
2.20/0.65	  inference(rectify,[],[f33])).
2.20/0.65	tff(f96,plain,(
2.20/0.65	  bCOMB @ mnot @ (bCOMB @ mbox_s5 @ mnot) = mdia_s5),
2.20/0.65	  inference(fool_elimination,[],[f95])).
2.20/0.65	tff(f97,plain,(
2.20/0.65	  mbox_s5 = (^[X0 : '$i' -> '$o', X1 : '$i'] : ! [X2] : (X0 @ X2 | ~rel_s5 @ X1 @ X2))),
2.20/0.65	  inference(rectify,[],[f32])).
2.20/0.65	tff(f98,plain,(
2.20/0.65	  bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5)))) = mbox_s5),
2.20/0.65	  inference(fool_elimination,[],[f97])).
2.20/0.65	tff(f99,plain,(
2.20/0.65	  mor = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X1 @ X2 | X0 @ X2)),
2.20/0.65	  inference(rectify,[],[f4])).
2.20/0.65	tff(f100,plain,(
2.20/0.65	  bCOMB @ sCOMB @ (bCOMB @ vOR) = mor),
2.20/0.65	  inference(fool_elimination,[],[f99])).
2.20/0.65	tff(f101,plain,(
2.20/0.65	  mnot = (^[X0 : '$i' -> '$o', X1 : '$i'] : ~X0 @ X1)),
2.20/0.65	  inference(rectify,[],[f3])).
2.20/0.65	tff(f102,plain,(
2.20/0.65	  bCOMB @ vNOT = mnot),
2.20/0.65	  inference(fool_elimination,[],[f101])).
2.20/0.65	tff(f103,plain,(
2.20/0.65	  msymmetric @ rel_s5),
2.20/0.65	  inference(rectify,[],[f34])).
2.20/0.65	tff(f104,plain,(
2.20/0.65	  (msymmetric @ rel_s5 = $true)),
2.20/0.65	  inference(fool_elimination,[],[f103])).
2.20/0.65	tff(f105,plain,(
2.20/0.65	  mreflexive @ rel_s5),
2.20/0.65	  inference(rectify,[],[f35])).
2.20/0.65	tff(f106,plain,(
2.20/0.65	  (mreflexive @ rel_s5 = $true)),
2.20/0.65	  inference(fool_elimination,[],[f105])).
2.20/0.65	tff(f107,plain,(
2.20/0.65	  mtransitive @ rel_s5),
2.20/0.65	  inference(rectify,[],[f36])).
2.20/0.65	tff(f108,plain,(
2.20/0.65	  (mtransitive @ rel_s5 = $true)),
2.20/0.65	  inference(fool_elimination,[],[f107])).
2.20/0.65	tff(f109,plain,(
2.20/0.65	  (mvalid @ (mequiv @ (mdia_s5 @ (mdia_s5 @ (mdia_s5 @ (mbox_s5 @ p)))) @ (mbox_s5 @ p)) != $true)),
2.20/0.65	  inference(flattening,[],[f40])).
2.20/0.65	tff(f110,plain,(
2.20/0.65	  (mvalid @ (mequiv @ (mdia_s5 @ (mdia_s5 @ (mdia_s5 @ (mbox_s5 @ p)))) @ (mbox_s5 @ p)) != $true)),
2.20/0.65	  inference(cnf_transformation,[],[f109])).
2.20/0.65	tff(f129,plain,(
2.20/0.65	  mvalid = vPI('$i')),
2.20/0.65	  inference(cnf_transformation,[],[f74])).
2.20/0.65	tff(f130,plain,(
2.20/0.65	  bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive),
2.20/0.65	  inference(cnf_transformation,[],[f76])).
2.20/0.65	tff(f131,plain,(
2.20/0.65	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) = msymmetric),
2.20/0.65	  inference(cnf_transformation,[],[f78])).
2.20/0.65	tff(f132,plain,(
2.20/0.65	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = mtransitive),
2.20/0.65	  inference(cnf_transformation,[],[f80])).
2.20/0.65	tff(f134,plain,(
2.20/0.65	  bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ mor @ mnot)) @ mnot) = mand),
2.20/0.65	  inference(cnf_transformation,[],[f84])).
2.20/0.65	tff(f136,plain,(
2.20/0.65	  bCOMB @ mor @ mnot = mimplies),
2.20/0.65	  inference(cnf_transformation,[],[f88])).
2.20/0.65	tff(f137,plain,(
2.20/0.65	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ mand) @ mimplies)) @ (cCOMB @ mimplies) = mequiv),
2.20/0.65	  inference(cnf_transformation,[],[f90])).
2.20/0.65	tff(f140,plain,(
2.20/0.65	  bCOMB @ mnot @ (bCOMB @ mbox_s5 @ mnot) = mdia_s5),
2.20/0.65	  inference(cnf_transformation,[],[f96])).
2.20/0.65	tff(f141,plain,(
2.20/0.65	  bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5)))) = mbox_s5),
2.20/0.65	  inference(cnf_transformation,[],[f98])).
2.20/0.65	tff(f142,plain,(
2.20/0.65	  bCOMB @ sCOMB @ (bCOMB @ vOR) = mor),
2.20/0.65	  inference(cnf_transformation,[],[f100])).
2.20/0.65	tff(f143,plain,(
2.20/0.65	  bCOMB @ vNOT = mnot),
2.20/0.65	  inference(cnf_transformation,[],[f102])).
2.20/0.65	tff(f144,plain,(
2.20/0.65	  (msymmetric @ rel_s5 = $true)),
2.20/0.65	  inference(cnf_transformation,[],[f104])).
2.20/0.65	tff(f145,plain,(
2.20/0.65	  (mreflexive @ rel_s5 = $true)),
2.20/0.65	  inference(cnf_transformation,[],[f106])).
2.20/0.65	tff(f146,plain,(
2.20/0.65	  (mtransitive @ rel_s5 = $true)),
2.20/0.65	  inference(cnf_transformation,[],[f108])).
2.20/0.65	tff(f147,plain,(
2.20/0.65	  bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)) = mand),
2.20/0.65	  inference(definition_unfolding,[],[f134,f143,f142,f143,f143])).
2.20/0.65	tff(f148,plain,(
2.20/0.65	  bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) = mimplies),
2.20/0.65	  inference(definition_unfolding,[],[f136,f142,f143])).
2.20/0.65	tff(f150,plain,(
2.20/0.65	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)))) @ (cCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) = mequiv),
2.20/0.65	  inference(definition_unfolding,[],[f137,f147,f148,f148])).
2.20/0.65	tff(f156,plain,(
2.20/0.65	  bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))))) @ (bCOMB @ vNOT)) = mdia_s5),
2.20/0.65	  inference(definition_unfolding,[],[f140,f143,f141,f143])).
2.20/0.66	tff(f157,plain,(
2.20/0.66	  (vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)))) @ (cCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5)))) @ p)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5)))) @ p)) != $true)),
2.20/0.66	  inference(definition_unfolding,[],[f110,f129,f150,f156,f156,f156,f141,f141])).
2.20/0.66	tff(f158,plain,(
2.20/0.66	  (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) @ rel_s5 = $true)),
2.20/0.66	  inference(definition_unfolding,[],[f144,f131])).
2.20/0.66	tff(f159,plain,(
2.20/0.66	  (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ rel_s5 = $true)),
2.20/0.66	  inference(definition_unfolding,[],[f145,f130])).
2.20/0.66	tff(f160,plain,(
2.20/0.66	  (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) @ rel_s5 = $true)),
2.20/0.66	  inference(definition_unfolding,[],[f146,f132])).
2.20/0.66	tff(f161,plain,(
2.20/0.66	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s5)))) @ (cCOMB @ rel_s5))))) @ (cCOMB @ rel_s5)))) = $true)),
2.20/0.66	  inference(combinator_demodulation,[],[f160])).
2.20/0.66	tff(f162,plain,(
2.20/0.66	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s5)))) @ (cCOMB @ rel_s5))))) @ (cCOMB @ rel_s5))) @ X1 = $true)) )),
2.20/0.66	  inference(pi_clausification,[],[f161])).
2.20/0.66	tff(f163,plain,(
2.20/0.66	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s5))) @ (cCOMB @ rel_s5 @ X1)))) @ (cCOMB @ rel_s5 @ X1))) = $true)) )),
2.20/0.66	  inference(combinator_demodulation,[],[f162])).
2.20/0.66	tff(f164,plain,(
2.20/0.66	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s5))) @ (cCOMB @ rel_s5 @ X1)))) @ (cCOMB @ rel_s5 @ X1)) @ X2 = $true)) )),
2.20/0.66	  inference(pi_clausification,[],[f163])).
2.20/0.66	tff(f165,plain,(
2.20/0.66	  ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ rel_s5 @ X2)) @ (rel_s5 @ X2 @ X1))) @ (cCOMB @ rel_s5 @ X1)) = $true)) )),
2.20/0.66	  inference(combinator_demodulation,[],[f164])).
2.20/0.66	tff(f166,plain,(
2.20/0.66	  ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ rel_s5 @ X2)) @ (rel_s5 @ X2 @ X1))) @ (cCOMB @ rel_s5 @ X1) @ X3 = $true)) )),
2.20/0.66	  inference(pi_clausification,[],[f165])).
2.20/0.66	tff(f167,plain,(
2.20/0.66	  ( ! [X2,X3,X1] : ((vIMP @ (vAND @ (rel_s5 @ X3 @ X2) @ (rel_s5 @ X2 @ X1)) @ (rel_s5 @ X3 @ X1) = $true)) )),
2.20/0.66	  inference(combinator_demodulation,[],[f166])).
2.20/0.66	tff(f168,plain,(
2.20/0.66	  ( ! [X2,X3,X1] : ((vAND @ (rel_s5 @ X3 @ X2) @ (rel_s5 @ X2 @ X1) = $false) | (rel_s5 @ X3 @ X1 = $true)) )),
2.20/0.66	  inference(binary_proxy_clausification,[],[f167])).
2.20/0.66	tff(f169,plain,(
2.20/0.66	  ( ! [X2,X3,X1] : ((rel_s5 @ X3 @ X2 = $false) | (rel_s5 @ X3 @ X1 = $true) | (rel_s5 @ X2 @ X1 = $false)) )),
2.20/0.66	  inference(binary_proxy_clausification,[],[f168])).
2.20/0.66	tff(f170,plain,(
2.20/0.66	  (vPI('$i') @ (sCOMB @ rel_s5 @ iCOMB) = $true)),
2.20/0.66	  inference(combinator_demodulation,[],[f159])).
2.20/0.66	tff(f171,plain,(
2.20/0.66	  ( ! [X1] : ((sCOMB @ rel_s5 @ iCOMB @ X1 = $true)) )),
2.20/0.66	  inference(pi_clausification,[],[f170])).
2.20/0.66	tff(f172,plain,(
2.20/0.66	  ( ! [X1] : ((rel_s5 @ X1 @ X1 = $true)) )),
2.20/0.66	  inference(combinator_demodulation,[],[f171])).
2.20/0.66	tff(f173,plain,(
2.20/0.66	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ rel_s5))) @ rel_s5)) = $true)),
2.20/0.66	  inference(combinator_demodulation,[],[f158])).
2.20/0.66	tff(f174,plain,(
2.20/0.66	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ rel_s5))) @ rel_s5) @ X1 = $true)) )),
2.20/0.66	  inference(pi_clausification,[],[f173])).
2.20/0.66	tff(f175,plain,(
2.20/0.66	  ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ rel_s5 @ X1)) @ (rel_s5 @ X1)) = $true)) )),
2.20/0.66	  inference(combinator_demodulation,[],[f174])).
2.20/0.66	tff(f176,plain,(
2.20/0.66	  ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ rel_s5 @ X1)) @ (rel_s5 @ X1) @ X2 = $true)) )),
2.20/0.66	  inference(pi_clausification,[],[f175])).
2.20/0.66	tff(f177,plain,(
2.20/0.66	  ( ! [X2,X1] : ((vIMP @ (rel_s5 @ X2 @ X1) @ (rel_s5 @ X1 @ X2) = $true)) )),
2.20/0.66	  inference(combinator_demodulation,[],[f176])).
2.20/0.66	tff(f178,plain,(
2.20/0.66	  ( ! [X2,X1] : ((rel_s5 @ X2 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $true)) )),
2.20/0.66	  inference(binary_proxy_clausification,[],[f177])).
2.20/0.66	tff(f179,plain,(
2.20/0.66	  (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)))) @ (cCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5)))) @ p)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5)))) @ p) @ sK1 = $false)),
2.20/0.66	  inference(sigma_clausification,[],[f157])).
2.20/0.66	tff(f180,plain,(
2.20/0.66	  (vNOT @ (vOR @ (vNOT @ (vOR @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)))) @ (vNOT @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))))))) = $false)),
2.20/0.66	  inference(combinator_demodulation,[],[f179])).
2.20/0.66	tff(f181,plain,(
2.20/0.66	  (vNOT @ (vOR @ (vNOT @ (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)))) @ (vNOT @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))))))) = $false)),
2.20/0.66	  inference(boolean_simplification,[],[f180])).
2.20/0.66	tff(f182,plain,(
2.20/0.66	  (vOR @ (vNOT @ (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)))) @ (vNOT @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))))) = $true)),
2.20/0.66	  inference(not_proxy_clausification,[],[f181])).
2.20/0.66	tff(f183,plain,(
2.20/0.66	  (vNOT @ (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) = $true) | (vNOT @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))))) = $true)),
2.20/0.66	  inference(binary_proxy_clausification,[],[f182])).
2.20/0.67	% (15445)Refutation not found, incomplete strategy
2.20/0.67	% (15445)------------------------------
2.20/0.67	% (15445)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
2.20/0.67	% (15445)Termination reason: Refutation not found, incomplete strategy
2.20/0.67	
2.20/0.67	% (15445)Memory used [KB]: 10106
2.20/0.67	% (15445)Time elapsed: 0.103 s
2.20/0.67	% (15445)------------------------------
2.20/0.67	% (15445)------------------------------
2.20/0.68	% (15444)Refutation not found, incomplete strategy
2.20/0.68	% (15444)------------------------------
2.20/0.68	% (15444)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
2.20/0.68	% (15444)Termination reason: Refutation not found, incomplete strategy
2.20/0.68	
2.20/0.68	% (15444)Memory used [KB]: 10106
2.20/0.68	% (15444)Time elapsed: 0.130 s
2.20/0.68	% (15444)------------------------------
2.20/0.68	% (15444)------------------------------
2.20/0.68	tff(f184,plain,(
2.20/0.68	  (vNOT @ (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(not_proxy_clausification,[],[f183])).
2.20/0.68	tff(f185,plain,(
2.20/0.68	  (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(not_proxy_clausification,[],[f184])).
2.20/0.68	tff(f186,plain,(
2.20/0.68	  (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f185])).
2.20/0.68	tff(f187,plain,(
2.20/0.68	  (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f185])).
2.20/0.68	tff(f188,plain,(
2.20/0.68	  (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p @ sK2 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(sigma_clausification,[],[f187])).
2.20/0.68	tff(f189,plain,(
2.20/0.68	  (vOR @ (vNOT @ (rel_s5 @ sK1 @ sK2)) @ (p @ sK2) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(combinator_demodulation,[],[f188])).
2.20/0.68	tff(f190,plain,(
2.20/0.68	  (vNOT @ (rel_s5 @ sK1 @ sK2) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f189])).
2.20/0.68	tff(f191,plain,(
2.20/0.68	  (p @ sK2 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f189])).
2.20/0.68	tff(f192,plain,(
2.20/0.68	  (p @ sK2 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f191])).
2.20/0.68	tff(f193,plain,(
2.20/0.68	  (p @ sK2 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f191])).
2.20/0.68	tff(f194,plain,(
2.20/0.68	  (p @ sK2 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))) = $true)),
2.20/0.68	  inference(not_proxy_clausification,[],[f193])).
2.20/0.68	tff(f195,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))) @ X1 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f194])).
2.20/0.68	tff(f196,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f195])).
2.20/0.68	tff(f197,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))) = $true)) )),
2.20/0.68	  inference(boolean_simplification,[],[f196])).
2.20/0.68	tff(f198,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))) = $true)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f197])).
2.20/0.68	tff(f199,plain,(
2.20/0.68	  ( ! [X2,X1] : ((p @ sK2 = $false) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) @ X2 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f198])).
2.20/0.68	tff(f200,plain,(
2.20/0.68	  ( ! [X2,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) @ X2 = $true)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f199])).
2.20/0.68	tff(f201,plain,(
2.20/0.68	  ( ! [X2,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (vOR @ (vNOT @ (rel_s5 @ X1 @ X2)) @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f200])).
2.20/0.68	tff(f202,plain,(
2.20/0.68	  ( ! [X2,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (vOR @ (vNOT @ (rel_s5 @ X1 @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))) = $true)) )),
2.20/0.68	  inference(boolean_simplification,[],[f201])).
2.20/0.68	tff(f203,plain,(
2.20/0.68	  ( ! [X2,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (vNOT @ (rel_s5 @ X1 @ X2) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))) = $true)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f202])).
2.20/0.68	tff(f204,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (vNOT @ (rel_s5 @ X1 @ X2) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))) @ X3 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f203])).
2.20/0.68	tff(f205,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))) @ X3 = $true)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f204])).
2.20/0.68	tff(f206,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vOR @ (vNOT @ (rel_s5 @ X2 @ X3)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p))) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f205])).
2.20/0.68	tff(f207,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vNOT @ (rel_s5 @ X2 @ X3) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p)) = $true)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f206])).
2.20/0.68	tff(f208,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vNOT @ (rel_s5 @ X2 @ X3) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p) = $false)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f207])).
2.20/0.68	tff(f209,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vNOT @ (rel_s5 @ X2 @ X3) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p @ (sK3 @ X3) = $false)) )),
2.20/0.68	  inference(sigma_clausification,[],[f208])).
2.20/0.68	tff(f210,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p @ (sK3 @ X3) = $false)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f209])).
2.20/0.68	tff(f211,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (vOR @ (vNOT @ (rel_s5 @ X3 @ (sK3 @ X3))) @ (p @ (sK3 @ X3)) = $false)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f210])).
2.20/0.68	tff(f212,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (vNOT @ (rel_s5 @ X3 @ (sK3 @ X3)) = $false)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f211])).
2.20/0.68	tff(f213,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (p @ (sK3 @ X3) = $false)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f211])).
2.20/0.68	tff(f214,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (rel_s5 @ X3 @ (sK3 @ X3) = $true)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f212])).
2.20/0.68	tff(f215,plain,(
2.20/0.68	  (p @ sK2 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p) = $true)),
2.20/0.68	  inference(not_proxy_clausification,[],[f192])).
2.20/0.68	tff(f216,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p @ X1 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f215])).
2.20/0.68	tff(f217,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (p @ X1) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f216])).
2.20/0.68	tff(f218,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (p @ X1 = $true)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f217])).
2.20/0.68	tff(f219,plain,(
2.20/0.68	  ( ! [X1] : ((p @ sK2 = $false) | (rel_s5 @ sK1 @ X1 = $false) | (p @ X1 = $true)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f218])).
2.20/0.68	tff(f220,plain,(
2.20/0.68	  (rel_s5 @ sK1 @ sK2 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.68	  inference(not_proxy_clausification,[],[f190])).
2.20/0.68	tff(f221,plain,(
2.20/0.68	  (rel_s5 @ sK1 @ sK2 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f220])).
2.20/0.68	tff(f222,plain,(
2.20/0.68	  (rel_s5 @ sK1 @ sK2 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))))) = $false)),
2.20/0.68	  inference(binary_proxy_clausification,[],[f220])).
2.20/0.68	tff(f223,plain,(
2.20/0.68	  (rel_s5 @ sK1 @ sK2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))) = $true)),
2.20/0.68	  inference(not_proxy_clausification,[],[f222])).
2.20/0.68	tff(f224,plain,(
2.20/0.68	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))) @ X1 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f223])).
2.20/0.68	tff(f225,plain,(
2.20/0.68	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f224])).
2.20/0.68	tff(f226,plain,(
2.20/0.68	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))) = $true)) )),
2.20/0.68	  inference(boolean_simplification,[],[f225])).
2.20/0.68	tff(f227,plain,(
2.20/0.68	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))) = $true)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f226])).
2.20/0.68	tff(f228,plain,(
2.20/0.68	  ( ! [X2,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) @ X2 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f227])).
2.20/0.68	tff(f229,plain,(
2.20/0.68	  ( ! [X2,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) @ X2 = $true)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f228])).
2.20/0.68	tff(f230,plain,(
2.20/0.68	  ( ! [X2,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (vOR @ (vNOT @ (rel_s5 @ X1 @ X2)) @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f229])).
2.20/0.68	tff(f231,plain,(
2.20/0.68	  ( ! [X2,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (vOR @ (vNOT @ (rel_s5 @ X1 @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))) = $true)) )),
2.20/0.68	  inference(boolean_simplification,[],[f230])).
2.20/0.68	tff(f232,plain,(
2.20/0.68	  ( ! [X2,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (vNOT @ (rel_s5 @ X1 @ X2) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))) = $true)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f231])).
2.20/0.68	tff(f233,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (vNOT @ (rel_s5 @ X1 @ X2) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))) @ X3 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f232])).
2.20/0.68	tff(f234,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))) @ X3 = $true)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f233])).
2.20/0.68	tff(f235,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vOR @ (vNOT @ (rel_s5 @ X2 @ X3)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p))) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f234])).
2.20/0.68	tff(f236,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vNOT @ (rel_s5 @ X2 @ X3) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p)) = $true)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f235])).
2.20/0.68	tff(f237,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vNOT @ (rel_s5 @ X2 @ X3) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p) = $false)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f236])).
2.20/0.68	tff(f238,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (vNOT @ (rel_s5 @ X2 @ X3) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p @ (sK4 @ X3) = $false)) )),
2.20/0.68	  inference(sigma_clausification,[],[f237])).
2.20/0.68	tff(f239,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ X3))) @ p @ (sK4 @ X3) = $false)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f238])).
2.20/0.68	tff(f240,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (vOR @ (vNOT @ (rel_s5 @ X3 @ (sK4 @ X3))) @ (p @ (sK4 @ X3)) = $false)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f239])).
2.20/0.68	tff(f241,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (vNOT @ (rel_s5 @ X3 @ (sK4 @ X3)) = $false)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f240])).
2.20/0.68	tff(f242,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (p @ (sK4 @ X3) = $false)) )),
2.20/0.68	  inference(binary_proxy_clausification,[],[f240])).
2.20/0.68	tff(f243,plain,(
2.20/0.68	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (rel_s5 @ X3 @ (sK4 @ X3) = $true)) )),
2.20/0.68	  inference(not_proxy_clausification,[],[f241])).
2.20/0.68	tff(f244,plain,(
2.20/0.68	  (rel_s5 @ sK1 @ sK2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p) = $true)),
2.20/0.68	  inference(not_proxy_clausification,[],[f221])).
2.20/0.68	tff(f245,plain,(
2.20/0.68	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p @ X1 = $true)) )),
2.20/0.68	  inference(pi_clausification,[],[f244])).
2.20/0.68	tff(f246,plain,(
2.20/0.68	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (p @ X1) = $true)) )),
2.20/0.68	  inference(combinator_demodulation,[],[f245])).
2.20/0.70	% (15447)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark
2.20/0.71	tff(f247,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (p @ X1 = $true)) )),
2.20/0.71	  inference(binary_proxy_clausification,[],[f246])).
2.20/0.71	tff(f248,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK1 @ sK2 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (p @ X1 = $true)) )),
2.20/0.71	  inference(not_proxy_clausification,[],[f247])).
2.20/0.71	tff(f249,plain,(
2.20/0.71	  (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))) @ sK5 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(sigma_clausification,[],[f186])).
2.20/0.71	tff(f250,plain,(
2.20/0.71	  (vOR @ (vNOT @ (rel_s5 @ sK1 @ sK5)) @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(combinator_demodulation,[],[f249])).
2.20/0.71	tff(f251,plain,(
2.20/0.71	  (vOR @ (vNOT @ (rel_s5 @ sK1 @ sK5)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(boolean_simplification,[],[f250])).
2.20/0.71	tff(f252,plain,(
2.20/0.71	  (vNOT @ (rel_s5 @ sK1 @ sK5) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f251])).
2.20/0.71	tff(f253,plain,(
2.20/0.71	  (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f251])).
2.20/0.71	tff(f254,plain,(
2.20/0.71	  (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) @ sK6 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(sigma_clausification,[],[f253])).
2.20/0.71	tff(f255,plain,(
2.20/0.71	  (vOR @ (vNOT @ (rel_s5 @ sK5 @ sK6)) @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK6))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(combinator_demodulation,[],[f254])).
2.20/0.71	tff(f256,plain,(
2.20/0.71	  (vOR @ (vNOT @ (rel_s5 @ sK5 @ sK6)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK6))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(boolean_simplification,[],[f255])).
2.20/0.71	tff(f257,plain,(
2.20/0.71	  (vNOT @ (rel_s5 @ sK5 @ sK6) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f256])).
2.20/0.71	tff(f258,plain,(
2.20/0.71	  (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK6))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f256])).
2.20/0.71	tff(f259,plain,(
2.20/0.71	  (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK6))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p))) @ sK7 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(sigma_clausification,[],[f258])).
2.20/0.71	tff(f260,plain,(
2.20/0.71	  (vOR @ (vNOT @ (rel_s5 @ sK6 @ sK7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK7))) @ p))) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(combinator_demodulation,[],[f259])).
2.20/0.71	tff(f261,plain,(
2.20/0.71	  (vNOT @ (rel_s5 @ sK6 @ sK7) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f260])).
2.20/0.71	tff(f262,plain,(
2.20/0.71	  (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK7))) @ p)) = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f260])).
2.20/0.71	tff(f263,plain,(
2.20/0.71	  (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK7))) @ p) = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(not_proxy_clausification,[],[f262])).
2.20/0.71	tff(f264,plain,(
2.20/0.71	  ( ! [X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK7))) @ p @ X1 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)) )),
2.20/0.71	  inference(pi_clausification,[],[f263])).
2.20/0.71	tff(f265,plain,(
2.20/0.71	  ( ! [X1] : ((vOR @ (vNOT @ (rel_s5 @ sK7 @ X1)) @ (p @ X1) = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)) )),
2.20/0.71	  inference(combinator_demodulation,[],[f264])).
2.20/0.71	tff(f266,plain,(
2.20/0.71	  ( ! [X1] : ((vNOT @ (rel_s5 @ sK7 @ X1) = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false) | (p @ X1 = $true)) )),
2.20/0.71	  inference(binary_proxy_clausification,[],[f265])).
2.20/0.71	tff(f267,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false) | (p @ X1 = $true)) )),
2.20/0.71	  inference(not_proxy_clausification,[],[f266])).
2.20/0.71	tff(f268,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK7 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)) = $false) | (p @ X1 = $true)) )),
2.20/0.71	  inference(binary_proxy_clausification,[],[f267])).
2.20/0.71	tff(f291,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK7 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p) = $true) | (p @ X1 = $true)) )),
2.20/0.71	  inference(not_proxy_clausification,[],[f268])).
2.20/0.71	tff(f292,plain,(
2.20/0.71	  ( ! [X2,X1] : ((rel_s5 @ sK7 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p @ X2 = $true) | (p @ X1 = $true)) )),
2.20/0.71	  inference(pi_clausification,[],[f291])).
2.20/0.71	tff(f293,plain,(
2.20/0.71	  ( ! [X2,X1] : ((rel_s5 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X2)) @ (p @ X2) = $true) | (p @ X1 = $true)) )),
2.20/0.71	  inference(combinator_demodulation,[],[f292])).
2.20/0.71	tff(f294,plain,(
2.20/0.71	  ( ! [X2,X1] : ((rel_s5 @ sK7 @ X1 = $false) | (vNOT @ (rel_s5 @ sK1 @ X2) = $true) | (p @ X1 = $true) | (p @ X2 = $true)) )),
2.20/0.71	  inference(binary_proxy_clausification,[],[f293])).
2.20/0.71	tff(f295,plain,(
2.20/0.71	  ( ! [X2,X1] : ((rel_s5 @ sK7 @ X1 = $false) | (rel_s5 @ sK1 @ X2 = $false) | (p @ X1 = $true) | (p @ X2 = $true)) )),
2.20/0.71	  inference(not_proxy_clausification,[],[f294])).
2.20/0.71	tff(f296,plain,(
2.20/0.71	  (rel_s5 @ sK6 @ sK7 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(not_proxy_clausification,[],[f261])).
2.20/0.71	tff(f297,plain,(
2.20/0.71	  (rel_s5 @ sK6 @ sK7 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f296])).
2.20/0.71	tff(f320,plain,(
2.20/0.71	  (rel_s5 @ sK6 @ sK7 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p) = $true)),
2.20/0.71	  inference(not_proxy_clausification,[],[f297])).
2.20/0.71	tff(f321,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK6 @ sK7 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p @ X1 = $true)) )),
2.20/0.71	  inference(pi_clausification,[],[f320])).
2.20/0.71	tff(f322,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK6 @ sK7 = $true) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (p @ X1) = $true)) )),
2.20/0.71	  inference(combinator_demodulation,[],[f321])).
2.20/0.71	tff(f323,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK6 @ sK7 = $true) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (p @ X1 = $true)) )),
2.20/0.71	  inference(binary_proxy_clausification,[],[f322])).
2.20/0.71	tff(f324,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK6 @ sK7 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (p @ X1 = $true)) )),
2.20/0.71	  inference(not_proxy_clausification,[],[f323])).
2.20/0.71	tff(f325,plain,(
2.20/0.71	  (rel_s5 @ sK5 @ sK6 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(not_proxy_clausification,[],[f257])).
2.20/0.71	tff(f326,plain,(
2.20/0.71	  (rel_s5 @ sK5 @ sK6 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f325])).
2.20/0.71	tff(f349,plain,(
2.20/0.71	  (rel_s5 @ sK5 @ sK6 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p) = $true)),
2.20/0.71	  inference(not_proxy_clausification,[],[f326])).
2.20/0.71	tff(f350,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK5 @ sK6 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p @ X1 = $true)) )),
2.20/0.71	  inference(pi_clausification,[],[f349])).
2.20/0.71	tff(f351,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK5 @ sK6 = $true) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (p @ X1) = $true)) )),
2.20/0.71	  inference(combinator_demodulation,[],[f350])).
2.20/0.71	tff(f352,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK5 @ sK6 = $true) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (p @ X1 = $true)) )),
2.20/0.71	  inference(binary_proxy_clausification,[],[f351])).
2.20/0.71	tff(f353,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK5 @ sK6 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (p @ X1 = $true)) )),
2.20/0.71	  inference(not_proxy_clausification,[],[f352])).
2.20/0.71	tff(f354,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK5 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s5))) @ p)))))))))))))) = $false)),
2.20/0.71	  inference(not_proxy_clausification,[],[f252])).
2.20/0.71	tff(f355,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK5 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p)) = $false)),
2.20/0.71	  inference(binary_proxy_clausification,[],[f354])).
2.20/0.71	tff(f378,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p) = $true)),
2.20/0.71	  inference(not_proxy_clausification,[],[f355])).
2.20/0.71	tff(f379,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK1 @ sK5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s5 @ sK1))) @ p @ X1 = $true)) )),
2.20/0.71	  inference(pi_clausification,[],[f378])).
2.20/0.71	tff(f380,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK1 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s5 @ sK1 @ X1)) @ (p @ X1) = $true)) )),
2.20/0.71	  inference(combinator_demodulation,[],[f379])).
2.20/0.71	tff(f381,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK1 @ sK5 = $true) | (vNOT @ (rel_s5 @ sK1 @ X1) = $true) | (p @ X1 = $true)) )),
2.20/0.71	  inference(binary_proxy_clausification,[],[f380])).
2.20/0.71	tff(f382,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK1 @ sK5 = $true) | (rel_s5 @ sK1 @ X1 = $false) | (p @ X1 = $true)) )),
2.20/0.71	  inference(not_proxy_clausification,[],[f381])).
2.20/0.71	tff(f385,plain,(
2.20/0.71	  spl0_0 <=> ! [X1] : ((rel_s5 @ sK1 @ X1 = $false) | (p @ X1 = $true))),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_0])])).
2.20/0.71	tff(f386,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK1 @ X1 = $false) | (p @ X1 = $true)) ) | ~spl0_0),
2.20/0.71	  inference(avatar_component_clause,[],[f385])).
2.20/0.71	tff(f391,plain,(
2.20/0.71	  spl0_2 <=> (p @ sK2 = $false)),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
2.20/0.71	tff(f392,plain,(
2.20/0.71	  (p @ sK2 = $false) | ~spl0_2),
2.20/0.71	  inference(avatar_component_clause,[],[f391])).
2.20/0.71	tff(f393,plain,(
2.20/0.71	  spl0_0 | spl0_2),
2.20/0.71	  inference(avatar_split_clause,[],[f219,f391,f385])).
2.20/0.71	tff(f429,plain,(
2.20/0.71	  spl0_9 <=> (rel_s5 @ sK1 @ sK2 != $true)),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
2.20/0.71	tff(f430,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK2 != $true) | ~spl0_9),
2.20/0.71	  inference(avatar_component_clause,[],[f429])).
2.20/0.71	tff(f432,plain,(
2.20/0.71	  spl0_8 <=> (rel_s5 @ sK1 @ sK2 = $true)),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
2.20/0.71	tff(f433,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK2 = $true) | ~spl0_8),
2.20/0.71	  inference(avatar_component_clause,[],[f432])).
2.20/0.71	tff(f434,plain,(
2.20/0.71	  spl0_0 | spl0_8),
2.20/0.71	  inference(avatar_split_clause,[],[f248,f432,f385])).
2.20/0.71	tff(f469,plain,(
2.20/0.71	  spl0_10 <=> (rel_s5 @ sK1 @ sK5 = $true)),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
2.20/0.71	tff(f470,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK5 = $true) | ~spl0_10),
2.20/0.71	  inference(avatar_component_clause,[],[f469])).
2.20/0.71	tff(f471,plain,(
2.20/0.71	  spl0_0 | spl0_10),
2.20/0.71	  inference(avatar_split_clause,[],[f382,f469,f385])).
2.20/0.71	tff(f475,plain,(
2.20/0.71	  ($false = $true) | (p @ sK2 = $true) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(superposition,[],[f433,f386])).
2.20/0.71	tff(f480,plain,(
2.20/0.71	  (p @ sK2 = $true) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f475])).
2.20/0.71	tff(f490,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : (($false = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (rel_s5 @ X3 @ (sK3 @ X3) = $true)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(forward_demodulation,[],[f214,f480])).
2.20/0.71	tff(f491,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : ((rel_s5 @ X3 @ (sK3 @ X3) = $true) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (rel_s5 @ sK1 @ X1 = $false)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f490])).
2.20/0.71	tff(f492,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : (($false = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (p @ (sK3 @ X3) = $false)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(forward_demodulation,[],[f213,f480])).
2.20/0.71	tff(f493,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (p @ (sK3 @ X3) = $false)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f492])).
2.20/0.71	tff(f527,plain,(
2.20/0.71	  spl0_12 <=> (rel_s5 @ sK5 @ sK6 = $true)),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
2.20/0.71	tff(f528,plain,(
2.20/0.71	  (rel_s5 @ sK5 @ sK6 = $true) | ~spl0_12),
2.20/0.71	  inference(avatar_component_clause,[],[f527])).
2.20/0.71	tff(f529,plain,(
2.20/0.71	  spl0_0 | spl0_12),
2.20/0.71	  inference(avatar_split_clause,[],[f353,f527,f385])).
2.20/0.71	tff(f548,plain,(
2.20/0.71	  spl0_14 <=> (rel_s5 @ sK6 @ sK7 = $true)),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
2.20/0.71	tff(f549,plain,(
2.20/0.71	  (rel_s5 @ sK6 @ sK7 = $true) | ~spl0_14),
2.20/0.71	  inference(avatar_component_clause,[],[f548])).
2.20/0.71	tff(f550,plain,(
2.20/0.71	  spl0_0 | spl0_14),
2.20/0.71	  inference(avatar_split_clause,[],[f324,f548,f385])).
2.20/0.71	tff(f558,plain,(
2.20/0.71	  ( ! [X0] : (($false != $false) | (rel_s5 @ X0 @ sK1 = $false) | (rel_s5 @ sK1 @ X0 = $false) | (p @ (sK3 @ X0) = $false)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(equality_factoring,[],[f493])).
2.20/0.71	tff(f559,plain,(
2.20/0.71	  ( ! [X0] : ((rel_s5 @ sK1 @ X0 = $false) | (rel_s5 @ X0 @ sK1 = $false) | (p @ (sK3 @ X0) = $false)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f558])).
2.20/0.71	tff(f568,plain,(
2.20/0.71	  ($false = $true) | (rel_s5 @ sK1 @ sK1 = $false) | (p @ (sK3 @ sK1) = $false) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(superposition,[],[f559,f172])).
2.20/0.71	tff(f579,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK1 = $false) | (p @ (sK3 @ sK1) = $false) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f568])).
2.20/0.71	tff(f583,plain,(
2.20/0.71	  ($false = $true) | (p @ (sK3 @ sK1) = $false) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(forward_demodulation,[],[f579,f172])).
2.20/0.71	tff(f584,plain,(
2.20/0.71	  (p @ (sK3 @ sK1) = $false) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f583])).
2.20/0.71	tff(f591,plain,(
2.20/0.71	  ( ! [X17,X18] : (($false = $true) | (rel_s5 @ X17 @ X18 = $false) | (rel_s5 @ X18 @ sK1 = $false) | (rel_s5 @ sK1 @ X17 = $false) | (p @ (sK3 @ sK1) = $true)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(superposition,[],[f491,f386])).
2.20/0.71	tff(f610,plain,(
2.20/0.71	  ( ! [X17,X18] : ((rel_s5 @ X17 @ X18 = $false) | (rel_s5 @ X18 @ sK1 = $false) | (rel_s5 @ sK1 @ X17 = $false) | (p @ (sK3 @ sK1) = $true)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f591])).
2.20/0.71	tff(f616,plain,(
2.20/0.71	  ( ! [X17,X18] : (($false = $true) | (rel_s5 @ X17 @ X18 = $false) | (rel_s5 @ X18 @ sK1 = $false) | (rel_s5 @ sK1 @ X17 = $false)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(forward_demodulation,[],[f610,f584])).
2.20/0.71	tff(f617,plain,(
2.20/0.71	  ( ! [X17,X18] : ((rel_s5 @ sK1 @ X17 = $false) | (rel_s5 @ X18 @ sK1 = $false) | (rel_s5 @ X17 @ X18 = $false)) ) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f616])).
2.20/0.71	tff(f689,plain,(
2.20/0.71	  ($false != $false) | (rel_s5 @ sK1 @ sK1 = $false) | (rel_s5 @ sK1 @ sK1 = $false) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(equality_factoring,[],[f617])).
2.20/0.71	tff(f693,plain,(
2.20/0.71	  ($false != $false) | (rel_s5 @ sK1 @ sK1 = $false) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(duplicate_literal_removal,[],[f689])).
2.20/0.71	tff(f694,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK1 = $false) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f693])).
2.20/0.71	tff(f703,plain,(
2.20/0.71	  ($false = $true) | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(superposition,[],[f694,f172])).
2.20/0.71	tff(f711,plain,(
2.20/0.71	  $false | (~spl0_0 | ~spl0_8)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f703])).
2.20/0.71	tff(f712,plain,(
2.20/0.71	  ~spl0_0 | ~spl0_8),
2.20/0.71	  inference(avatar_contradiction_clause,[],[f711])).
2.20/0.71	tff(f715,plain,(
2.20/0.71	  ($true != $true) | (rel_s5 @ sK1 @ sK2 = $false) | ~spl0_9),
2.20/0.71	  inference(fool_paramodulation,[],[f430])).
2.20/0.71	tff(f721,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK2 = $false) | ~spl0_9),
2.20/0.71	  inference(trivial_inequality_removal,[],[f715])).
2.20/0.71	tff(f723,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : (($false = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (p @ (sK4 @ X3) = $false)) ) | ~spl0_9),
2.20/0.71	  inference(backward_demodulation,[],[f721,f242])).
2.20/0.71	tff(f724,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : (($false = $true) | (rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (rel_s5 @ X3 @ (sK4 @ X3) = $true)) ) | ~spl0_9),
2.20/0.71	  inference(backward_demodulation,[],[f721,f243])).
2.20/0.71	tff(f725,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : ((rel_s5 @ X3 @ (sK4 @ X3) = $true) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (rel_s5 @ sK1 @ X1 = $false)) ) | ~spl0_9),
2.20/0.71	  inference(trivial_inequality_removal,[],[f724])).
2.20/0.71	tff(f726,plain,(
2.20/0.71	  ( ! [X2,X3,X1] : ((rel_s5 @ sK1 @ X1 = $false) | (rel_s5 @ X1 @ X2 = $false) | (rel_s5 @ X2 @ X3 = $false) | (p @ (sK4 @ X3) = $false)) ) | ~spl0_9),
2.20/0.71	  inference(trivial_inequality_removal,[],[f723])).
2.20/0.71	tff(f748,plain,(
2.20/0.71	  ( ! [X0] : (($false != $false) | (rel_s5 @ X0 @ sK1 = $false) | (rel_s5 @ sK1 @ X0 = $false) | (p @ (sK4 @ X0) = $false)) ) | ~spl0_9),
2.20/0.71	  inference(equality_factoring,[],[f726])).
2.20/0.71	tff(f749,plain,(
2.20/0.71	  ( ! [X0] : ((rel_s5 @ sK1 @ X0 = $false) | (rel_s5 @ X0 @ sK1 = $false) | (p @ (sK4 @ X0) = $false)) ) | ~spl0_9),
2.20/0.71	  inference(trivial_inequality_removal,[],[f748])).
2.20/0.71	tff(f805,plain,(
2.20/0.71	  ( ! [X8,X9] : (($false = $true) | (p @ (sK4 @ sK1) = $true) | (rel_s5 @ X8 @ X9 = $false) | (rel_s5 @ X9 @ sK1 = $false) | (rel_s5 @ sK1 @ X8 = $false)) ) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(superposition,[],[f386,f725])).
2.20/0.71	tff(f814,plain,(
2.20/0.71	  ( ! [X8,X9] : ((p @ (sK4 @ sK1) = $true) | (rel_s5 @ X8 @ X9 = $false) | (rel_s5 @ X9 @ sK1 = $false) | (rel_s5 @ sK1 @ X8 = $false)) ) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f805])).
2.20/0.71	tff(f857,plain,(
2.20/0.71	  ($false = $true) | (rel_s5 @ sK1 @ sK1 = $false) | (p @ (sK4 @ sK1) = $false) | ~spl0_9),
2.20/0.71	  inference(superposition,[],[f749,f172])).
2.20/0.71	tff(f874,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK1 = $false) | (p @ (sK4 @ sK1) = $false) | ~spl0_9),
2.20/0.71	  inference(trivial_inequality_removal,[],[f857])).
2.20/0.71	tff(f875,plain,(
2.20/0.71	  ($false = $true) | (p @ (sK4 @ sK1) = $false) | ~spl0_9),
2.20/0.71	  inference(forward_demodulation,[],[f874,f172])).
2.20/0.71	tff(f876,plain,(
2.20/0.71	  (p @ (sK4 @ sK1) = $false) | ~spl0_9),
2.20/0.71	  inference(trivial_inequality_removal,[],[f875])).
2.20/0.71	tff(f927,plain,(
2.20/0.71	  ( ! [X8,X9] : (($false = $true) | (rel_s5 @ X8 @ X9 = $false) | (rel_s5 @ X9 @ sK1 = $false) | (rel_s5 @ sK1 @ X8 = $false)) ) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(forward_demodulation,[],[f814,f876])).
2.20/0.71	tff(f928,plain,(
2.20/0.71	  ( ! [X8,X9] : ((rel_s5 @ sK1 @ X8 = $false) | (rel_s5 @ X9 @ sK1 = $false) | (rel_s5 @ X8 @ X9 = $false)) ) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f927])).
2.20/0.71	tff(f947,plain,(
2.20/0.71	  ($false != $false) | (rel_s5 @ sK1 @ sK1 = $false) | (rel_s5 @ sK1 @ sK1 = $false) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(equality_factoring,[],[f928])).
2.20/0.71	tff(f951,plain,(
2.20/0.71	  ($false != $false) | (rel_s5 @ sK1 @ sK1 = $false) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(duplicate_literal_removal,[],[f947])).
2.20/0.71	tff(f952,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK1 = $false) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f951])).
2.20/0.71	tff(f960,plain,(
2.20/0.71	  spl0_16 <=> ! [X1] : ((rel_s5 @ sK7 @ X1 = $false) | (p @ X1 = $true))),
2.20/0.71	  introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
2.20/0.71	tff(f961,plain,(
2.20/0.71	  ( ! [X1] : ((rel_s5 @ sK7 @ X1 = $false) | (p @ X1 = $true)) ) | ~spl0_16),
2.20/0.71	  inference(avatar_component_clause,[],[f960])).
2.20/0.71	tff(f962,plain,(
2.20/0.71	  spl0_0 | spl0_16),
2.20/0.71	  inference(avatar_split_clause,[],[f295,f960,f385])).
2.20/0.71	tff(f963,plain,(
2.20/0.71	  ($false = $true) | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(superposition,[],[f952,f172])).
2.20/0.71	tff(f971,plain,(
2.20/0.71	  $false | (~spl0_0 | ~spl0_9)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f963])).
2.20/0.71	tff(f972,plain,(
2.20/0.71	  ~spl0_0 | spl0_9),
2.20/0.71	  inference(avatar_contradiction_clause,[],[f971])).
2.20/0.71	tff(f975,plain,(
2.20/0.71	  ($false = $true) | (rel_s5 @ sK2 @ sK1 = $true) | ~spl0_8),
2.20/0.71	  inference(superposition,[],[f433,f178])).
2.20/0.71	tff(f980,plain,(
2.20/0.71	  (rel_s5 @ sK2 @ sK1 = $true) | ~spl0_8),
2.20/0.71	  inference(trivial_inequality_removal,[],[f975])).
2.20/0.71	tff(f983,plain,(
2.20/0.71	  ( ! [X0] : (($false = $true) | (rel_s5 @ sK1 @ X0 = $true) | (rel_s5 @ sK5 @ X0 = $false)) ) | ~spl0_10),
2.20/0.71	  inference(superposition,[],[f470,f169])).
2.20/0.71	tff(f990,plain,(
2.20/0.71	  ( ! [X0] : ((rel_s5 @ sK5 @ X0 = $false) | (rel_s5 @ sK1 @ X0 = $true)) ) | ~spl0_10),
2.20/0.71	  inference(trivial_inequality_removal,[],[f983])).
2.20/0.71	tff(f992,plain,(
2.20/0.71	  ( ! [X0] : (($false = $true) | (rel_s5 @ sK2 @ X0 = $true) | (rel_s5 @ sK1 @ X0 = $false)) ) | ~spl0_8),
2.20/0.71	  inference(superposition,[],[f980,f169])).
2.20/0.71	tff(f999,plain,(
2.20/0.71	  ( ! [X0] : ((rel_s5 @ sK2 @ X0 = $true) | (rel_s5 @ sK1 @ X0 = $false)) ) | ~spl0_8),
2.20/0.71	  inference(trivial_inequality_removal,[],[f992])).
2.20/0.71	tff(f1034,plain,(
2.20/0.71	  ($false = $true) | (rel_s5 @ sK1 @ sK6 = $true) | (~spl0_10 | ~spl0_12)),
2.20/0.71	  inference(superposition,[],[f528,f990])).
2.20/0.71	tff(f1045,plain,(
2.20/0.71	  (rel_s5 @ sK1 @ sK6 = $true) | (~spl0_10 | ~spl0_12)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f1034])).
2.20/0.71	tff(f1048,plain,(
2.20/0.71	  ( ! [X4,X3] : (($false = $true) | (rel_s5 @ sK1 @ X3 = $false) | (rel_s5 @ sK2 @ X4 = $true) | (rel_s5 @ X3 @ X4 = $false)) ) | ~spl0_8),
2.20/0.71	  inference(superposition,[],[f999,f169])).
2.20/0.71	tff(f1057,plain,(
2.20/0.71	  ( ! [X4,X3] : ((rel_s5 @ sK2 @ X4 = $true) | (rel_s5 @ sK1 @ X3 = $false) | (rel_s5 @ X3 @ X4 = $false)) ) | ~spl0_8),
2.20/0.71	  inference(trivial_inequality_removal,[],[f1048])).
2.20/0.71	tff(f1109,plain,(
2.20/0.71	  ( ! [X8,X9] : (($false = $true) | (rel_s5 @ sK1 @ X9 = $false) | (rel_s5 @ X9 @ X8 = $false) | (rel_s5 @ X8 @ sK2 = $true)) ) | ~spl0_8),
2.20/0.71	  inference(superposition,[],[f1057,f178])).
2.20/0.71	tff(f1117,plain,(
2.20/0.71	  ( ! [X8,X9] : ((rel_s5 @ sK1 @ X9 = $false) | (rel_s5 @ X9 @ X8 = $false) | (rel_s5 @ X8 @ sK2 = $true)) ) | ~spl0_8),
2.20/0.71	  inference(trivial_inequality_removal,[],[f1109])).
2.20/0.71	tff(f1221,plain,(
2.20/0.71	  ( ! [X5] : (($false = $true) | (rel_s5 @ sK6 @ X5 = $false) | (rel_s5 @ X5 @ sK2 = $true)) ) | (~spl0_8 | ~spl0_10 | ~spl0_12)),
2.20/0.71	  inference(superposition,[],[f1117,f1045])).
2.20/0.71	tff(f1239,plain,(
2.20/0.71	  ( ! [X5] : ((rel_s5 @ sK6 @ X5 = $false) | (rel_s5 @ X5 @ sK2 = $true)) ) | (~spl0_8 | ~spl0_10 | ~spl0_12)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f1221])).
2.20/0.71	tff(f1410,plain,(
2.20/0.71	  ($false = $true) | (rel_s5 @ sK7 @ sK2 = $true) | (~spl0_8 | ~spl0_10 | ~spl0_12 | ~spl0_14)),
2.20/0.71	  inference(superposition,[],[f1239,f549])).
2.20/0.71	tff(f1429,plain,(
2.20/0.71	  (rel_s5 @ sK7 @ sK2 = $true) | (~spl0_8 | ~spl0_10 | ~spl0_12 | ~spl0_14)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f1410])).
2.20/0.71	tff(f1524,plain,(
2.20/0.71	  ($false = $true) | (p @ sK2 = $true) | (~spl0_8 | ~spl0_10 | ~spl0_12 | ~spl0_14 | ~spl0_16)),
2.20/0.71	  inference(superposition,[],[f961,f1429])).
2.20/0.71	tff(f1529,plain,(
2.20/0.71	  (p @ sK2 = $true) | (~spl0_8 | ~spl0_10 | ~spl0_12 | ~spl0_14 | ~spl0_16)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f1524])).
2.20/0.71	tff(f1538,plain,(
2.20/0.71	  ($false = $true) | (~spl0_2 | ~spl0_8 | ~spl0_10 | ~spl0_12 | ~spl0_14 | ~spl0_16)),
2.20/0.71	  inference(forward_demodulation,[],[f1529,f392])).
2.20/0.71	tff(f1539,plain,(
2.20/0.71	  $false | (~spl0_2 | ~spl0_8 | ~spl0_10 | ~spl0_12 | ~spl0_14 | ~spl0_16)),
2.20/0.71	  inference(trivial_inequality_removal,[],[f1538])).
2.20/0.71	tff(f1540,plain,(
2.20/0.71	  ~spl0_2 | ~spl0_8 | ~spl0_10 | ~spl0_12 | ~spl0_14 | ~spl0_16),
2.20/0.71	  inference(avatar_contradiction_clause,[],[f1539])).
2.20/0.71	tff(f1541,plain,(
2.20/0.71	  $false),
2.20/0.71	  inference(avatar_sat_refutation,[],[f393,f434,f471,f529,f550,f712,f962,f972,f1540])).
2.20/0.71	% SZS output end Proof for theBenchmark
2.20/0.71	% (15416)------------------------------
2.20/0.71	% (15416)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
2.20/0.71	% (15416)Termination reason: Refutation
2.20/0.71	
2.20/0.71	% (15416)Memory used [KB]: 6268
2.20/0.71	% (15416)Time elapsed: 0.266 s
2.20/0.71	% (15416)------------------------------
2.20/0.71	% (15416)------------------------------
2.20/0.71	% (15399)Success in time 0.345 s
2.20/0.71	EOF