0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.13	% Command    : run_vampire %s %d
0.12/0.34	% Computer   : n026.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 960
0.12/0.34	% WCLimit    : 120
0.12/0.34	% DateTime   : Thu Jul  2 08:35:24 EDT 2020
0.12/0.34	% CPUTime    : 
0.20/0.38	% (12925)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
0.20/0.39	% (12926)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
0.20/0.39	% (12941)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
0.20/0.39	% (12918)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.20/0.39	% (12923)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
0.20/0.39	% (12924)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.39	% (12922)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.20/0.40	% (12933)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark
0.20/0.40	% (12935)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
0.20/0.40	% (12927)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
0.20/0.40	% (12945)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
0.20/0.40	% (12943)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
0.20/0.41	% (12937)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
0.20/0.41	% (12929)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.20/0.41	% (12917)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.20/0.41	% (12916)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.41	% (12919)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.20/0.42	% (12944)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
0.20/0.42	% (12920)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.20/0.43	% (12921)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.20/0.43	% (12942)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.20/0.43	% (12936)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
0.20/0.43	% (12939)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
0.20/0.43	% (12940)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
0.20/0.43	% (12930)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	% (12934)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
0.20/0.44	% (12932)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
0.20/0.44	% (12928)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	% (12931)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.20/0.44	% (12938)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
0.20/0.49	% (12939)Refutation not found, incomplete strategy
0.20/0.49	% (12939)------------------------------
0.20/0.49	% (12939)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.49	% (12939)Termination reason: Refutation not found, incomplete strategy
0.20/0.49	
0.20/0.49	% (12939)Memory used [KB]: 10106
0.20/0.49	% (12939)Time elapsed: 0.124 s
0.20/0.49	% (12939)------------------------------
0.20/0.49	% (12939)------------------------------
0.20/0.49	% (12918)Refutation not found, incomplete strategy
0.20/0.49	% (12918)------------------------------
0.20/0.49	% (12918)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.49	% (12918)Termination reason: Refutation not found, incomplete strategy
0.20/0.49	
0.20/0.49	% (12918)Memory used [KB]: 10746
0.20/0.49	% (12918)Time elapsed: 0.119 s
0.20/0.49	% (12918)------------------------------
0.20/0.49	% (12918)------------------------------
0.20/0.52	% (12926)Refutation not found, incomplete strategy
0.20/0.52	% (12926)------------------------------
0.20/0.52	% (12926)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.52	% (12926)Termination reason: Refutation not found, incomplete strategy
0.20/0.52	
0.20/0.52	% (12926)Memory used [KB]: 10746
0.20/0.52	% (12926)Time elapsed: 0.142 s
0.20/0.52	% (12926)------------------------------
0.20/0.52	% (12926)------------------------------
1.44/0.54	% (12946)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
1.44/0.55	% (12947)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
1.57/0.57	% (12948)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
1.57/0.58	% (12935)Refutation found. Thanks to Tanya!
1.57/0.58	% SZS status Theorem for theBenchmark
1.57/0.60	% SZS output start Proof for theBenchmark
1.57/0.60	tff(func_def_0, type, mu: '$tType').
1.57/0.60	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
1.57/0.60	tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o').
1.57/0.60	tff(func_def_6, type, mtrue: '$i' -> '$o').
1.57/0.60	tff(func_def_7, type, mfalse: '$i' -> '$o').
1.57/0.60	tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_9, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
1.57/0.60	tff(func_def_10, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_11, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_12, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_13, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_14, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_15, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_16, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_17, type, mforall_indset: ((mu -> '$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_18, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_19, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_20, type, mexists_indset: ((mu -> '$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_21, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_22, type, mbox_generic: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_23, type, mdia_generic: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_24, type, rel: '$i' -> '$i' -> '$o').
1.57/0.60	tff(func_def_25, type, mbox: ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_26, type, mdia: ('$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_27, type, mvalid: ('$i' -> '$o') -> '$o').
1.57/0.60	tff(func_def_28, type, minvalid: ('$i' -> '$o') -> '$o').
1.57/0.60	tff(func_def_29, type, positive: (mu -> '$i' -> '$o') -> '$i' -> '$o').
1.57/0.60	tff(func_def_30, type, god: mu -> '$i' -> '$o').
1.57/0.60	tff(func_def_31, type, essence: (mu -> '$i' -> '$o') -> mu -> '$i' -> '$o').
1.57/0.60	tff(func_def_32, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
1.57/0.60	tff(func_def_33, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
1.57/0.60	tff(func_def_34, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
1.57/0.60	tff(func_def_37, type, vNOT: '$o' -> '$o').
1.57/0.60	tff(func_def_38, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
1.57/0.60	tff(func_def_39, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
1.57/0.60	tff(func_def_40, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
1.57/0.60	tff(func_def_41, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
1.57/0.60	tff(func_def_42, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
1.57/0.60	tff(func_def_43, type, vOR: '$o' -> '$o' -> '$o').
1.57/0.60	tff(func_def_44, type, vAND: '$o' -> '$o' -> '$o').
1.57/0.60	tff(func_def_45, type, vIMP: '$o' -> '$o' -> '$o').
1.57/0.60	tff(func_def_46, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
1.57/0.60	tff(func_def_47, type, vIFF: '$o' -> '$o' -> '$o').
1.57/0.60	tff(func_def_50, type, sK2: mu).
1.57/0.60	tff(func_def_51, type, sK3: mu -> '$i' -> '$o').
1.57/0.60	tff(func_def_52, type, sK4: mu -> '$i' -> '$o').
1.57/0.60	tff(func_def_54, type, sK6: mu).
1.57/0.60	tff(func_def_56, type, sK8: mu).
1.57/0.60	tff(func_def_57, type, sK9: (mu -> '$i' -> '$o') -> mu).
1.57/0.60	tff(func_def_58, type, sK10: (mu -> '$i' -> '$o') -> mu).
1.57/0.60	tff(func_def_59, type, sK11: (mu -> '$i' -> '$o') -> mu).
1.57/0.60	tff(f4,axiom,(
1.57/0.60	  mnot = (^[X3 : '$i' -> '$o', X2 : '$i'] : ~X3 @ X2)),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
1.57/0.60	tff(f6,axiom,(
1.57/0.60	  mand = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X4 @ X2 & X3 @ X2)),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
1.57/0.60	tff(f7,axiom,(
1.57/0.60	  mimplies = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X3 @ X2 => X4 @ X2)),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
1.57/0.60	tff(f9,axiom,(
1.57/0.60	  mequiv = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X3 @ X2 <=> X4 @ X2)),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv)).
1.57/0.60	tff(f11,axiom,(
1.57/0.60	  mforall_ind = (^[X3 : mu -> '$i' -> '$o', X2 : '$i'] : ! [X0 : mu] : X3 @ X0 @ X2)),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
1.57/0.60	tff(f12,axiom,(
1.57/0.60	  mforall_indset = (^[X3 : (mu -> '$i' -> '$o') -> '$i' -> '$o', X2 : '$i'] : ! [X0 : mu -> '$i' -> '$o'] : X3 @ X0 @ X2)),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_indset)).
1.57/0.60	tff(f17,axiom,(
1.57/0.60	  mbox_generic = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~X6 @ X2 @ X7))),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_generic)).
1.57/0.60	tff(f19,axiom,(
1.57/0.60	  mbox_generic @ rel = mbox),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
1.57/0.60	tff(f21,axiom,(
1.57/0.60	  mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
1.57/0.60	tff(f23,axiom,(
1.57/0.60	  god = (^[X0 : mu] : mforall_indset @ (^[X3 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X3) @ (X3 @ X0)))),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defD1)).
1.57/0.60	tff(f24,axiom,(
1.57/0.60	  essence = (^[X3 : mu -> '$i' -> '$o', X0 : mu] : mand @ (X3 @ X0) @ (mforall_indset @ (^[X4 : mu -> '$i' -> '$o'] : mimplies @ (X4 @ X0) @ (mbox @ (mforall_ind @ (^[X1 : mu] : mimplies @ (X3 @ X1) @ (X4 @ X1)))))))),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defD2)).
1.57/0.60	tff(f25,axiom,(
1.57/0.60	  mvalid @ (mforall_indset @ (^[X3 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X3) @ (mbox @ (positive @ X3))))),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA4)).
1.57/0.60	tff(f26,conjecture,(
1.57/0.60	  mvalid @ (mforall_ind @ (^[X0 : mu] : mimplies @ (god @ X0) @ (essence @ god @ X0)))),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thmT2)).
1.57/0.60	tff(f27,negated_conjecture,(
1.57/0.60	  ~mvalid @ (mforall_ind @ (^[X0 : mu] : mimplies @ (god @ X0) @ (essence @ god @ X0)))),
1.57/0.60	  inference(negated_conjecture,[],[f26])).
1.57/0.60	tff(f28,axiom,(
1.57/0.60	  mvalid @ (mforall_indset @ (^[X3 : mu -> '$i' -> '$o'] : mequiv @ (positive @ (^[X0 : mu] : mnot @ (X3 @ X0))) @ (mnot @ (positive @ X3))))),
1.57/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA1)).
1.57/0.60	tff(f29,plain,(
1.57/0.60	  ~mvalid @ (mforall_ind @ (^[X0 : mu] : mimplies @ (god @ X0) @ (essence @ god @ X0)))),
1.57/0.60	  inference(rectify,[],[f27])).
1.57/0.60	tff(f30,plain,(
1.57/0.60	  ~(mvalid @ (mforall_ind @ (sCOMB @ (bCOMB @ mimplies @ god) @ (essence @ god))) = $true)),
1.57/0.60	  inference(fool_elimination,[],[f29])).
1.57/0.60	tff(f52,plain,(
1.57/0.60	  mbox_generic = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : ! [X3] : (X1 @ X3 | ~X0 @ X2 @ X3))),
1.57/0.60	  inference(rectify,[],[f17])).
1.57/0.60	tff(f53,plain,(
1.57/0.60	  bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox_generic),
1.57/0.60	  inference(fool_elimination,[],[f52])).
1.57/0.60	tff(f56,plain,(
1.57/0.60	  essence = (^[X0 : mu -> '$i' -> '$o', X1 : mu] : mand @ (X0 @ X1) @ (mforall_indset @ (^[X2 : mu -> '$i' -> '$o'] : mimplies @ (X2 @ X1) @ (mbox @ (mforall_ind @ (^[X3 : mu] : mimplies @ (X0 @ X3) @ (X2 @ X3)))))))),
1.57/0.60	  inference(rectify,[],[f24])).
1.57/0.60	tff(f57,plain,(
1.57/0.60	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ mand)) @ (bCOMB @ (bCOMB @ mforall_indset) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ mimplies) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ mbox) @ (bCOMB @ (bCOMB @ mforall_ind) @ (bCOMB @ sCOMB @ (bCOMB @ mimplies)))))) = essence),
1.57/0.60	  inference(fool_elimination,[],[f56])).
1.57/0.60	tff(f58,plain,(
1.57/0.60	  mand = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X1 @ X2 & X0 @ X2)),
1.57/0.60	  inference(rectify,[],[f6])).
1.57/0.60	tff(f59,plain,(
1.57/0.60	  bCOMB @ sCOMB @ (bCOMB @ vAND) = mand),
1.57/0.60	  inference(fool_elimination,[],[f58])).
1.57/0.60	tff(f60,plain,(
1.57/0.60	  mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)),
1.57/0.60	  inference(rectify,[],[f21])).
1.57/0.60	tff(f61,plain,(
1.57/0.60	  mvalid = vPI('$i')),
1.57/0.60	  inference(fool_elimination,[],[f60])).
1.57/0.60	tff(f62,plain,(
1.57/0.60	  god = (^[X0 : mu] : mforall_indset @ (^[X1 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X1) @ (X1 @ X0)))),
1.57/0.60	  inference(rectify,[],[f23])).
1.57/0.60	tff(f63,plain,(
1.57/0.60	  bCOMB @ mforall_indset @ (bCOMB @ (sCOMB @ (bCOMB @ mimplies @ positive)) @ (cCOMB @ iCOMB)) = god),
1.57/0.60	  inference(fool_elimination,[],[f62])).
1.57/0.60	tff(f64,plain,(
1.57/0.60	  mequiv = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X0 @ X2 <=> X1 @ X2)),
1.57/0.60	  inference(rectify,[],[f9])).
1.57/0.60	tff(f65,plain,(
1.57/0.60	  bCOMB @ sCOMB @ (bCOMB @ vIFF) = mequiv),
1.57/0.60	  inference(fool_elimination,[],[f64])).
1.57/0.60	tff(f66,plain,(
1.57/0.60	  mforall_indset = (^[X0 : (mu -> '$i' -> '$o') -> '$i' -> '$o', X1 : '$i'] : ! [X2 : mu -> '$i' -> '$o'] : X0 @ X2 @ X1)),
1.57/0.60	  inference(rectify,[],[f12])).
1.57/0.60	tff(f67,plain,(
1.57/0.60	  bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB = mforall_indset),
1.57/0.60	  inference(fool_elimination,[],[f66])).
1.57/0.60	tff(f68,plain,(
1.57/0.60	  mforall_ind = (^[X0 : mu -> '$i' -> '$o', X1 : '$i'] : ! [X2 : mu] : X0 @ X2 @ X1)),
1.57/0.60	  inference(rectify,[],[f11])).
1.57/0.60	tff(f69,plain,(
1.57/0.60	  bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB = mforall_ind),
1.57/0.60	  inference(fool_elimination,[],[f68])).
1.57/0.60	tff(f70,plain,(
1.57/0.60	  mnot = (^[X0 : '$i' -> '$o', X1 : '$i'] : ~X0 @ X1)),
1.57/0.60	  inference(rectify,[],[f4])).
1.57/0.60	tff(f71,plain,(
1.57/0.60	  mnot = bCOMB @ vNOT),
1.57/0.60	  inference(fool_elimination,[],[f70])).
1.57/0.60	tff(f72,plain,(
1.57/0.60	  mimplies = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X0 @ X2 => X1 @ X2)),
1.57/0.60	  inference(rectify,[],[f7])).
1.57/0.60	tff(f73,plain,(
1.57/0.60	  bCOMB @ sCOMB @ (bCOMB @ vIMP) = mimplies),
1.57/0.60	  inference(fool_elimination,[],[f72])).
1.57/0.60	tff(f74,plain,(
1.57/0.60	  mvalid @ (mforall_indset @ (^[X0 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X0) @ (mbox @ (positive @ X0))))),
1.57/0.60	  inference(rectify,[],[f25])).
1.57/0.60	tff(f75,plain,(
1.57/0.60	  (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mimplies @ positive) @ (bCOMB @ mbox @ positive))) = $true)),
1.57/0.60	  inference(fool_elimination,[],[f74])).
1.57/0.60	tff(f76,plain,(
1.57/0.60	  mvalid @ (mforall_indset @ (^[X0 : mu -> '$i' -> '$o'] : mequiv @ (positive @ (^[X1 : mu] : mnot @ (X0 @ X1))) @ (mnot @ (positive @ X0))))),
1.57/0.60	  inference(rectify,[],[f28])).
1.57/0.60	tff(f77,plain,(
1.57/0.60	  (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mequiv @ (bCOMB @ positive @ (bCOMB @ mnot))) @ (bCOMB @ mnot @ positive))) = $true)),
1.57/0.60	  inference(fool_elimination,[],[f76])).
1.57/0.60	tff(f78,plain,(
1.57/0.60	  (mvalid @ (mforall_ind @ (sCOMB @ (bCOMB @ mimplies @ god) @ (essence @ god))) != $true)),
1.57/0.60	  inference(flattening,[],[f30])).
1.57/0.60	tff(f79,plain,(
1.57/0.60	  (mvalid @ (mforall_ind @ (sCOMB @ (bCOMB @ mimplies @ god) @ (essence @ god))) != $true)),
1.57/0.60	  inference(cnf_transformation,[],[f78])).
1.57/0.60	tff(f81,plain,(
1.57/0.60	  mbox_generic @ rel = mbox),
1.57/0.60	  inference(cnf_transformation,[],[f19])).
1.57/0.60	tff(f93,plain,(
1.57/0.60	  bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox_generic),
1.57/0.60	  inference(cnf_transformation,[],[f53])).
1.57/0.60	tff(f95,plain,(
1.57/0.60	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ mand)) @ (bCOMB @ (bCOMB @ mforall_indset) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ mimplies) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ mbox) @ (bCOMB @ (bCOMB @ mforall_ind) @ (bCOMB @ sCOMB @ (bCOMB @ mimplies)))))) = essence),
1.57/0.60	  inference(cnf_transformation,[],[f57])).
1.57/0.60	tff(f96,plain,(
1.57/0.60	  bCOMB @ sCOMB @ (bCOMB @ vAND) = mand),
1.57/0.60	  inference(cnf_transformation,[],[f59])).
1.57/0.60	tff(f97,plain,(
1.57/0.60	  mvalid = vPI('$i')),
1.57/0.60	  inference(cnf_transformation,[],[f61])).
1.57/0.60	tff(f98,plain,(
1.57/0.60	  bCOMB @ mforall_indset @ (bCOMB @ (sCOMB @ (bCOMB @ mimplies @ positive)) @ (cCOMB @ iCOMB)) = god),
1.57/0.60	  inference(cnf_transformation,[],[f63])).
1.57/0.60	tff(f99,plain,(
1.57/0.60	  bCOMB @ sCOMB @ (bCOMB @ vIFF) = mequiv),
1.57/0.60	  inference(cnf_transformation,[],[f65])).
1.57/0.60	tff(f100,plain,(
1.57/0.60	  bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB = mforall_indset),
1.57/0.60	  inference(cnf_transformation,[],[f67])).
1.57/0.60	tff(f101,plain,(
1.57/0.60	  bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB = mforall_ind),
1.57/0.60	  inference(cnf_transformation,[],[f69])).
1.57/0.60	tff(f102,plain,(
1.57/0.60	  mnot = bCOMB @ vNOT),
1.57/0.60	  inference(cnf_transformation,[],[f71])).
1.57/0.60	tff(f103,plain,(
1.57/0.60	  bCOMB @ sCOMB @ (bCOMB @ vIMP) = mimplies),
1.57/0.60	  inference(cnf_transformation,[],[f73])).
1.57/0.61	tff(f104,plain,(
1.57/0.61	  (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mimplies @ positive) @ (bCOMB @ mbox @ positive))) = $true)),
1.57/0.61	  inference(cnf_transformation,[],[f75])).
1.57/0.61	tff(f105,plain,(
1.57/0.61	  (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mequiv @ (bCOMB @ positive @ (bCOMB @ mnot))) @ (bCOMB @ mnot @ positive))) = $true)),
1.57/0.61	  inference(cnf_transformation,[],[f77])).
1.57/0.61	tff(f106,plain,(
1.57/0.61	  bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel = mbox),
1.57/0.61	  inference(definition_unfolding,[],[f81,f93])).
1.57/0.61	tff(f108,plain,(
1.57/0.61	  bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)) = god),
1.57/0.61	  inference(definition_unfolding,[],[f98,f100,f103])).
1.57/0.61	tff(f109,plain,(
1.57/0.61	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB)) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)))))))) = essence),
1.57/0.61	  inference(definition_unfolding,[],[f95,f96,f100,f103,f106,f101,f103])).
1.57/0.61	tff(f110,plain,(
1.57/0.61	  (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB)) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))) != $true)),
1.57/0.61	  inference(definition_unfolding,[],[f79,f97,f101,f103,f108,f109,f108])).
1.57/0.61	tff(f111,plain,(
1.57/0.61	  (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel) @ positive))) = $true)),
1.57/0.61	  inference(definition_unfolding,[],[f104,f97,f100,f103,f106])).
1.57/0.62	tff(f112,plain,(
1.57/0.62	  (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive))) = $true)),
1.57/0.62	  inference(definition_unfolding,[],[f105,f97,f100,f99,f102,f102])).
1.57/0.62	tff(f113,plain,(
1.57/0.62	  ( ! [X1] : ((bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel) @ positive)) @ X1 = $true)) )),
1.57/0.62	  inference(pi_clausification,[],[f111])).
1.57/0.62	tff(f114,plain,(
1.57/0.62	  ( ! [X1] : ((vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ positive)) @ X1) = $true)) )),
1.57/0.62	  inference(combinator_demodulation,[],[f113])).
1.57/0.62	tff(f115,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X1] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ positive)) @ X1 @ X2 = $true)) )),
1.57/0.62	  inference(pi_clausification,[],[f114])).
1.57/0.62	tff(f116,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X1] : ((vIMP @ (positive @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ X1))) @ (positive @ X2))) = $true)) )),
1.57/0.62	  inference(combinator_demodulation,[],[f115])).
1.57/0.62	tff(f117,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X1] : ((positive @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ X1))) @ (positive @ X2)) = $true)) )),
1.57/0.62	  inference(binary_proxy_clausification,[],[f116])).
1.57/0.62	tff(f118,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ X1))) @ (positive @ X2) @ X3 = $true)) )),
1.57/0.62	  inference(pi_clausification,[],[f117])).
1.57/0.62	tff(f119,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel @ X1 @ X3)) @ (positive @ X2 @ X3) = $true)) )),
1.57/0.62	  inference(combinator_demodulation,[],[f118])).
1.57/0.62	tff(f120,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X1 = $false) | (vNOT @ (rel @ X1 @ X3) = $true) | (positive @ X2 @ X3 = $true)) )),
1.57/0.62	  inference(binary_proxy_clausification,[],[f119])).
1.57/0.62	tff(f121,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X1 = $false) | (rel @ X1 @ X3 = $false) | (positive @ X2 @ X3 = $true)) )),
1.57/0.62	  inference(not_proxy_clausification,[],[f120])).
1.57/0.62	tff(f122,plain,(
1.57/0.62	  ( ! [X1] : ((bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive)) @ X1 = $true)) )),
1.57/0.62	  inference(pi_clausification,[],[f112])).
1.57/0.62	tff(f123,plain,(
1.57/0.62	  ( ! [X1] : ((vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive)) @ X1) = $true)) )),
1.57/0.62	  inference(combinator_demodulation,[],[f122])).
1.57/0.62	tff(f124,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X1] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive)) @ X1 @ X2 = $true)) )),
1.57/0.62	  inference(pi_clausification,[],[f123])).
1.57/0.62	tff(f125,plain,(
1.57/0.62	  ( ! [X2:mu -> '$i' -> '$o',X1] : ((vIFF @ (positive @ (bCOMB @ (bCOMB @ vNOT) @ X2) @ X1) @ (vNOT @ (positive @ X2 @ X1)) = $true)) )),
1.57/0.62	  inference(combinator_demodulation,[],[f124])).
1.57/0.62	tff(f126,plain,(
1.57/0.62	  (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB)) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB))))) @ sK1 = $false)),
1.57/0.62	  inference(sigma_clausification,[],[f110])).
1.57/0.62	tff(f127,plain,(
1.57/0.62	  (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB))))))))))) @ sK1) = $false)),
1.57/0.62	  inference(combinator_demodulation,[],[f126])).
1.57/0.62	tff(f128,plain,(
1.57/0.62	  (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB))))))))))) @ sK1 @ sK2 = $false)),
1.57/0.62	  inference(sigma_clausification,[],[f127])).
1.57/0.62	tff(f129,plain,(
1.57/0.62	  (vIMP @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1)) @ (vAND @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1)) @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK2)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK1))) = $false)),
1.57/0.62	  inference(combinator_demodulation,[],[f128])).
1.57/0.62	tff(f130,plain,(
1.57/0.62	  (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1) = $true)),
1.57/0.62	  inference(binary_proxy_clausification,[],[f129])).
1.57/0.62	tff(f131,plain,(
1.57/0.62	  (vAND @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1)) @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK2)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK1)) = $false)),
1.57/0.62	  inference(binary_proxy_clausification,[],[f129])).
1.57/0.62	tff(f132,plain,(
1.57/0.62	  (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1) = $false) | (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK2)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK1) = $false)),
1.57/0.62	  inference(binary_proxy_clausification,[],[f131])).
1.57/0.62	tff(f133,plain,(
1.57/0.62	  (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1) = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK2)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK1 @ sK3 = $false)),
1.57/0.62	  inference(sigma_clausification,[],[f132])).
1.57/0.62	tff(f134,plain,(
1.57/0.62	  (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1 @ sK4 = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK2)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK1 @ sK3 = $false)),
1.57/0.62	  inference(sigma_clausification,[],[f133])).
1.57/0.62	tff(f135,plain,(
1.57/0.62	  (vIMP @ (positive @ sK4 @ sK1) @ (sK4 @ sK2 @ sK1) = $false) | (vIMP @ (sK3 @ sK2 @ sK1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK1))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3))))) = $false)),
1.57/0.62	  inference(combinator_demodulation,[],[f134])).
1.57/0.62	tff(f136,plain,(
1.57/0.62	  (positive @ sK4 @ sK1 = $true) | (vIMP @ (sK3 @ sK2 @ sK1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK1))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3))))) = $false)),
1.57/0.62	  inference(binary_proxy_clausification,[],[f135])).
1.57/0.62	tff(f137,plain,(
1.57/0.62	  (sK4 @ sK2 @ sK1 = $false) | (vIMP @ (sK3 @ sK2 @ sK1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK1))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3))))) = $false)),
1.57/0.62	  inference(binary_proxy_clausification,[],[f135])).
1.57/0.62	tff(f138,plain,(
1.57/0.62	  (sK4 @ sK2 @ sK1 = $false) | (sK3 @ sK2 @ sK1 = $true)),
1.57/0.62	  inference(binary_proxy_clausification,[],[f137])).
1.57/0.63	tff(f139,plain,(
1.57/0.63	  (sK4 @ sK2 @ sK1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK1))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3)))) = $false)),
1.57/0.63	  inference(binary_proxy_clausification,[],[f137])).
1.57/0.63	tff(f140,plain,(
1.57/0.63	  (sK4 @ sK2 @ sK1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK1))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3))) @ sK5 = $false)),
1.57/0.63	  inference(sigma_clausification,[],[f139])).
1.57/0.63	tff(f141,plain,(
1.57/0.63	  (sK4 @ sK2 @ sK1 = $false) | (vOR @ (vNOT @ (rel @ sK1 @ sK5)) @ (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3) @ sK5)) = $false)),
1.57/0.63	  inference(combinator_demodulation,[],[f140])).
1.57/0.63	tff(f142,plain,(
1.57/0.63	  (sK4 @ sK2 @ sK1 = $false) | (vNOT @ (rel @ sK1 @ sK5) = $false)),
1.57/0.63	  inference(binary_proxy_clausification,[],[f141])).
1.57/0.63	tff(f143,plain,(
1.57/0.63	  (sK4 @ sK2 @ sK1 = $false) | (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3) @ sK5) = $false)),
1.57/0.63	  inference(binary_proxy_clausification,[],[f141])).
1.57/0.63	tff(f144,plain,(
1.57/0.63	  (sK4 @ sK2 @ sK1 = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3) @ sK5 @ sK6 = $false)),
1.57/0.63	  inference(sigma_clausification,[],[f143])).
1.57/0.63	tff(f145,plain,(
1.57/0.63	  (sK4 @ sK2 @ sK1 = $false) | (vIMP @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK6)) @ sK5)) @ (sK3 @ sK6 @ sK5) = $false)),
1.57/0.63	  inference(combinator_demodulation,[],[f144])).
2.11/0.63	tff(f146,plain,(
2.11/0.63	  (sK4 @ sK2 @ sK1 = $false) | (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK6)) @ sK5) = $true)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f145])).
2.11/0.63	tff(f147,plain,(
2.11/0.63	  (sK4 @ sK2 @ sK1 = $false) | (sK3 @ sK6 @ sK5 = $false)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f145])).
2.11/0.63	tff(f148,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((sK4 @ sK2 @ sK1 = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK6)) @ sK5 @ X1 = $true)) )),
2.11/0.63	  inference(pi_clausification,[],[f146])).
2.11/0.63	tff(f149,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((sK4 @ sK2 @ sK1 = $false) | (vIMP @ (positive @ X1 @ sK5) @ (X1 @ sK6 @ sK5) = $true)) )),
2.11/0.63	  inference(combinator_demodulation,[],[f148])).
2.11/0.63	tff(f150,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((sK4 @ sK2 @ sK1 = $false) | (positive @ X1 @ sK5 = $false) | (X1 @ sK6 @ sK5 = $true)) )),
2.11/0.63	  inference(binary_proxy_clausification,[],[f149])).
2.11/0.63	tff(f151,plain,(
2.11/0.63	  (sK4 @ sK2 @ sK1 = $false) | (rel @ sK1 @ sK5 = $true)),
2.11/0.63	  inference(not_proxy_clausification,[],[f142])).
2.11/0.63	tff(f152,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (sK3 @ sK2 @ sK1 = $true)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f136])).
2.11/0.63	tff(f153,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK1))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3)))) = $false)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f136])).
2.11/0.63	tff(f154,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK1))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3))) @ sK7 = $false)),
2.11/0.63	  inference(sigma_clausification,[],[f153])).
2.11/0.63	tff(f155,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (vOR @ (vNOT @ (rel @ sK1 @ sK7)) @ (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3) @ sK7)) = $false)),
2.11/0.63	  inference(combinator_demodulation,[],[f154])).
2.11/0.63	tff(f156,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (vNOT @ (rel @ sK1 @ sK7) = $false)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f155])).
2.11/0.63	tff(f157,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3) @ sK7) = $false)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f155])).
2.11/0.63	tff(f158,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK3) @ sK7 @ sK8 = $false)),
2.11/0.63	  inference(sigma_clausification,[],[f157])).
2.11/0.63	tff(f159,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (vIMP @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK8)) @ sK7)) @ (sK3 @ sK8 @ sK7) = $false)),
2.11/0.63	  inference(combinator_demodulation,[],[f158])).
2.11/0.63	tff(f160,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK8)) @ sK7) = $true)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f159])).
2.11/0.63	tff(f161,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (sK3 @ sK8 @ sK7 = $false)),
2.11/0.63	  inference(binary_proxy_clausification,[],[f159])).
2.11/0.63	tff(f162,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ sK4 @ sK1 = $true) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK8)) @ sK7 @ X1 = $true)) )),
2.11/0.63	  inference(pi_clausification,[],[f160])).
2.11/0.63	tff(f163,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ sK4 @ sK1 = $true) | (vIMP @ (positive @ X1 @ sK7) @ (X1 @ sK8 @ sK7) = $true)) )),
2.11/0.63	  inference(combinator_demodulation,[],[f162])).
2.11/0.63	tff(f164,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ sK4 @ sK1 = $true) | (positive @ X1 @ sK7 = $false) | (X1 @ sK8 @ sK7 = $true)) )),
2.11/0.63	  inference(binary_proxy_clausification,[],[f163])).
2.11/0.63	tff(f165,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | (rel @ sK1 @ sK7 = $true)),
2.11/0.63	  inference(not_proxy_clausification,[],[f156])).
2.11/0.63	tff(f166,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK2)) @ sK1 @ X1 = $true)) )),
2.11/0.63	  inference(pi_clausification,[],[f130])).
2.11/0.63	tff(f167,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((vIMP @ (positive @ X1 @ sK1) @ (X1 @ sK2 @ sK1) = $true)) )),
2.11/0.63	  inference(combinator_demodulation,[],[f166])).
2.11/0.63	tff(f168,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ X1 @ sK1 = $false) | (X1 @ sK2 @ sK1 = $true)) )),
2.11/0.63	  inference(binary_proxy_clausification,[],[f167])).
2.11/0.63	tff(f173,plain,(
2.11/0.63	  spl0_0 <=> (sK3 @ sK2 @ sK1 = $true)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_0])])).
2.11/0.63	tff(f179,plain,(
2.11/0.63	  spl0_2 <=> (positive @ sK4 @ sK1 = $true)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
2.11/0.63	tff(f180,plain,(
2.11/0.63	  (positive @ sK4 @ sK1 = $true) | ~spl0_2),
2.11/0.63	  inference(avatar_component_clause,[],[f179])).
2.11/0.63	tff(f181,plain,(
2.11/0.63	  spl0_0 | spl0_2),
2.11/0.63	  inference(avatar_split_clause,[],[f152,f179,f173])).
2.11/0.63	tff(f186,plain,(
2.11/0.63	  spl0_4 <=> (rel @ sK1 @ sK7 = $true)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
2.11/0.63	tff(f188,plain,(
2.11/0.63	  spl0_4 | spl0_2),
2.11/0.63	  inference(avatar_split_clause,[],[f165,f179,f186])).
2.11/0.63	tff(f190,plain,(
2.11/0.63	  spl0_6 <=> ! [X1 : mu -> '$i' -> '$o'] : ((positive @ X1 @ sK7 = $false) | (X1 @ sK8 @ sK7 = $true))),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
2.11/0.63	tff(f191,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ X1 @ sK7 = $false) | (X1 @ sK8 @ sK7 = $true)) ) | ~spl0_6),
2.11/0.63	  inference(avatar_component_clause,[],[f190])).
2.11/0.63	tff(f192,plain,(
2.11/0.63	  spl0_6 | spl0_2),
2.11/0.63	  inference(avatar_split_clause,[],[f164,f179,f190])).
2.11/0.63	tff(f197,plain,(
2.11/0.63	  spl0_8 <=> (sK3 @ sK8 @ sK7 = $false)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
2.11/0.63	tff(f198,plain,(
2.11/0.63	  (sK3 @ sK8 @ sK7 = $false) | ~spl0_8),
2.11/0.63	  inference(avatar_component_clause,[],[f197])).
2.11/0.63	tff(f199,plain,(
2.11/0.63	  spl0_8 | spl0_2),
2.11/0.63	  inference(avatar_split_clause,[],[f161,f179,f197])).
2.11/0.63	tff(f204,plain,(
2.11/0.63	  spl0_10 <=> (sK4 @ sK2 @ sK1 = $false)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
2.11/0.63	tff(f205,plain,(
2.11/0.63	  (sK4 @ sK2 @ sK1 = $false) | ~spl0_10),
2.11/0.63	  inference(avatar_component_clause,[],[f204])).
2.11/0.63	tff(f206,plain,(
2.11/0.63	  spl0_0 | spl0_10),
2.11/0.63	  inference(avatar_split_clause,[],[f138,f204,f173])).
2.11/0.63	tff(f211,plain,(
2.11/0.63	  spl0_12 <=> (rel @ sK1 @ sK5 = $true)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
2.11/0.63	tff(f213,plain,(
2.11/0.63	  spl0_12 | spl0_10),
2.11/0.63	  inference(avatar_split_clause,[],[f151,f204,f211])).
2.11/0.63	tff(f215,plain,(
2.11/0.63	  spl0_14 <=> ! [X1 : mu -> '$i' -> '$o'] : ((positive @ X1 @ sK5 = $false) | (X1 @ sK6 @ sK5 = $true))),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
2.11/0.63	tff(f216,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ X1 @ sK5 = $false) | (X1 @ sK6 @ sK5 = $true)) ) | ~spl0_14),
2.11/0.63	  inference(avatar_component_clause,[],[f215])).
2.11/0.63	tff(f217,plain,(
2.11/0.63	  spl0_14 | spl0_10),
2.11/0.63	  inference(avatar_split_clause,[],[f150,f204,f215])).
2.11/0.63	tff(f222,plain,(
2.11/0.63	  spl0_16 <=> (sK3 @ sK6 @ sK5 = $false)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
2.11/0.63	tff(f223,plain,(
2.11/0.63	  (sK3 @ sK6 @ sK5 = $false) | ~spl0_16),
2.11/0.63	  inference(avatar_component_clause,[],[f222])).
2.11/0.63	tff(f224,plain,(
2.11/0.63	  spl0_16 | spl0_10),
2.11/0.63	  inference(avatar_split_clause,[],[f147,f204,f222])).
2.11/0.63	tff(f228,plain,(
2.11/0.63	  ( ! [X4:mu -> '$i' -> '$o'] : ((vIFF @ $false @ (vNOT @ (positive @ X4 @ sK1)) = $true) | (bCOMB @ (bCOMB @ vNOT) @ X4 @ sK2 @ sK1 = $true)) )),
2.11/0.63	  inference(superposition,[],[f125,f168])).
2.11/0.63	tff(f229,plain,(
2.11/0.63	  ( ! [X4:mu -> '$i' -> '$o'] : ((vNOT @ (vNOT @ (positive @ X4 @ sK1)) = $true) | (bCOMB @ (bCOMB @ vNOT) @ X4 @ sK2 @ sK1 = $true)) )),
2.11/0.63	  inference(boolean_simplification,[],[f228])).
2.11/0.63	tff(f230,plain,(
2.11/0.63	  ( ! [X4:mu -> '$i' -> '$o'] : ((positive @ X4 @ sK1 = $true) | (bCOMB @ (bCOMB @ vNOT) @ X4 @ sK2 @ sK1 = $true)) )),
2.11/0.63	  inference(boolean_simplification,[],[f229])).
2.11/0.63	tff(f231,plain,(
2.11/0.63	  ( ! [X4:mu -> '$i' -> '$o'] : ((positive @ X4 @ sK1 = $true) | (vNOT @ (X4 @ sK2 @ sK1) = $true)) )),
2.11/0.63	  inference(combinator_demodulation,[],[f230])).
2.11/0.63	tff(f232,plain,(
2.11/0.63	  ( ! [X4:mu -> '$i' -> '$o'] : ((positive @ X4 @ sK1 = $true) | (X4 @ sK2 @ sK1 = $false)) )),
2.11/0.63	  inference(not_proxy_clausification,[],[f231])).
2.11/0.63	tff(f253,plain,(
2.11/0.63	  ($false = $true) | (sK4 @ sK2 @ sK1 = $true) | ~spl0_2),
2.11/0.63	  inference(superposition,[],[f168,f180])).
2.11/0.63	tff(f265,plain,(
2.11/0.63	  (sK4 @ sK2 @ sK1 = $true) | ~spl0_2),
2.11/0.63	  inference(trivial_inequality_removal,[],[f253])).
2.11/0.63	tff(f274,plain,(
2.11/0.63	  ($false = $true) | (~spl0_2 | ~spl0_10)),
2.11/0.63	  inference(forward_demodulation,[],[f265,f205])).
2.11/0.63	tff(f275,plain,(
2.11/0.63	  $false | (~spl0_2 | ~spl0_10)),
2.11/0.63	  inference(trivial_inequality_removal,[],[f274])).
2.11/0.63	tff(f276,plain,(
2.11/0.63	  ~spl0_2 | ~spl0_10),
2.11/0.63	  inference(avatar_contradiction_clause,[],[f275])).
2.11/0.63	tff(f299,plain,(
2.11/0.63	  spl0_22 <=> (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1 = $false)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
2.11/0.63	tff(f305,plain,(
2.11/0.63	  spl0_24 <=> ($false = $true)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
2.11/0.63	tff(f306,plain,(
2.11/0.63	  ($false = $true) | ~spl0_24),
2.11/0.63	  inference(avatar_component_clause,[],[f305])).
2.11/0.63	tff(f348,plain,(
2.11/0.63	  ( ! [X6:mu -> '$i' -> '$o',X7] : (($false = $true) | (rel @ sK1 @ X7 = $false) | (positive @ X6 @ X7 = $true) | (X6 @ sK2 @ sK1 = $false)) )),
2.11/0.63	  inference(superposition,[],[f121,f232])).
2.11/0.63	tff(f354,plain,(
2.11/0.63	  ( ! [X6:mu -> '$i' -> '$o',X7] : ((positive @ X6 @ X7 = $true) | (rel @ sK1 @ X7 = $false) | (X6 @ sK2 @ sK1 = $false)) )),
2.11/0.63	  inference(trivial_inequality_removal,[],[f348])).
2.11/0.63	tff(f684,plain,(
2.11/0.63	  spl0_34 <=> ! [X19 : mu -> '$i' -> '$o'] : ((X19 @ sK2 @ sK1 = $false) | (X19 @ sK6 @ sK5 = $true))),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_34])])).
2.11/0.63	tff(f685,plain,(
2.11/0.63	  ( ! [X19:mu -> '$i' -> '$o'] : ((X19 @ sK6 @ sK5 = $true) | (X19 @ sK2 @ sK1 = $false)) ) | ~spl0_34),
2.11/0.63	  inference(avatar_component_clause,[],[f684])).
2.11/0.63	tff(f695,plain,(
2.11/0.63	  $false | ~spl0_24),
2.11/0.63	  inference(trivial_inequality_removal,[],[f306])).
2.11/0.63	tff(f696,plain,(
2.11/0.63	  ~spl0_24),
2.11/0.63	  inference(avatar_contradiction_clause,[],[f695])).
2.11/0.63	tff(f855,plain,(
2.11/0.63	  spl0_48 <=> ! [X1 : mu -> '$i' -> '$o'] : ((X1 @ sK8 @ sK7 = $true) | (X1 @ sK2 @ sK1 = $false))),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_48])])).
2.11/0.63	tff(f856,plain,(
2.11/0.63	  ( ! [X1:mu -> '$i' -> '$o'] : ((X1 @ sK8 @ sK7 = $true) | (X1 @ sK2 @ sK1 = $false)) ) | ~spl0_48),
2.11/0.63	  inference(avatar_component_clause,[],[f855])).
2.11/0.63	tff(f968,plain,(
2.11/0.63	  spl0_52 <=> (rel @ sK1 @ sK5 = $false)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_52])])).
2.11/0.63	tff(f1314,plain,(
2.11/0.63	  (vIFF @ (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1) @ (vNOT @ $true) = $true) | ~spl0_2),
2.11/0.63	  inference(superposition,[],[f125,f180])).
2.11/0.63	tff(f1326,plain,(
2.11/0.63	  (vIFF @ (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1) @ $false = $true) | ~spl0_2),
2.11/0.63	  inference(boolean_simplification,[],[f1314])).
2.11/0.63	tff(f1327,plain,(
2.11/0.63	  (vNOT @ (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1) = $true) | ~spl0_2),
2.11/0.63	  inference(boolean_simplification,[],[f1326])).
2.11/0.63	tff(f1328,plain,(
2.11/0.63	  (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1 = $false) | ~spl0_2),
2.11/0.63	  inference(not_proxy_clausification,[],[f1327])).
2.11/0.63	tff(f1337,plain,(
2.11/0.63	  spl0_22 | ~spl0_2),
2.11/0.63	  inference(avatar_split_clause,[],[f1328,f179,f299])).
2.11/0.63	tff(f1450,plain,(
2.11/0.63	  spl0_60 <=> (rel @ sK1 @ sK7 = $false)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_60])])).
2.11/0.63	tff(f1478,plain,(
2.11/0.63	  ( ! [X9:mu -> '$i' -> '$o'] : (($false = $true) | (rel @ sK1 @ sK5 = $false) | (X9 @ sK2 @ sK1 = $false) | (X9 @ sK6 @ sK5 = $true)) ) | ~spl0_14),
2.11/0.63	  inference(superposition,[],[f354,f216])).
2.11/0.63	tff(f1492,plain,(
2.11/0.63	  ( ! [X9:mu -> '$i' -> '$o'] : ((rel @ sK1 @ sK5 = $false) | (X9 @ sK2 @ sK1 = $false) | (X9 @ sK6 @ sK5 = $true)) ) | ~spl0_14),
2.11/0.63	  inference(trivial_inequality_removal,[],[f1478])).
2.11/0.63	tff(f1513,plain,(
2.11/0.63	  spl0_34 | spl0_52 | ~spl0_14),
2.11/0.63	  inference(avatar_split_clause,[],[f1492,f215,f968,f684])).
2.11/0.63	tff(f1567,plain,(
2.11/0.63	  ($false = $true) | (sK3 @ sK2 @ sK1 = $false) | (~spl0_16 | ~spl0_34)),
2.11/0.63	  inference(superposition,[],[f223,f685])).
2.11/0.63	tff(f1568,plain,(
2.11/0.63	  (sK3 @ sK2 @ sK1 = $false) | (~spl0_16 | ~spl0_34)),
2.11/0.63	  inference(trivial_inequality_removal,[],[f1567])).
2.11/0.63	tff(f1579,plain,(
2.11/0.63	  spl0_64 <=> (sK3 @ sK2 @ sK1 = $false)),
2.11/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl0_64])])).
2.11/0.63	tff(f1582,plain,(
2.11/0.63	  spl0_64 | ~spl0_16 | ~spl0_34),
2.11/0.63	  inference(avatar_split_clause,[],[f1568,f684,f222,f1579])).
2.11/0.63	tff(f1584,plain,(
2.11/0.63	  (rel @ sK1 @ sK5 != $true) | (rel @ sK1 @ sK5 != $false) | ($false = $true)),
2.11/0.63	  introduced(theory_axiom,[])).
2.11/0.63	tff(f1587,plain,(
2.11/0.63	  (sK3 @ sK2 @ sK1 != $false) | (sK3 @ sK2 @ sK1 != $true) | (rel @ sK1 @ sK7 != $true) | (rel @ sK1 @ sK7 = $false)),
2.11/0.63	  introduced(theory_axiom,[])).
2.11/0.63	tff(f1588,plain,(
2.11/0.63	  (sK3 @ sK2 @ sK1 != $true) | (sK3 @ sK2 @ sK1 != $false) | (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1 != $false) | (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1 = $true)),
2.11/0.63	  introduced(theory_axiom,[])).
2.11/0.63	tff(f1589,plain,(
2.11/0.63	  (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1 != $true) | (positive @ (bCOMB @ (bCOMB @ vNOT) @ sK4) @ sK1 != $false) | ($false = $true)),
2.11/0.63	  introduced(theory_axiom,[])).
2.11/0.63	tff(f1590,plain,(
2.11/0.63	  (rel @ sK1 @ sK7 != $true) | (rel @ sK1 @ sK7 != $false) | ($false = $true)),
2.11/0.63	  introduced(theory_axiom,[])).
2.11/0.63	tff(f1775,plain,(
2.11/0.63	  ( ! [X9:mu -> '$i' -> '$o'] : (($false = $true) | (rel @ sK1 @ sK7 = $false) | (X9 @ sK2 @ sK1 = $false) | (X9 @ sK8 @ sK7 = $true)) ) | ~spl0_6),
2.11/0.63	  inference(superposition,[],[f354,f191])).
2.11/0.63	tff(f1789,plain,(
2.11/0.63	  ( ! [X9:mu -> '$i' -> '$o'] : ((rel @ sK1 @ sK7 = $false) | (X9 @ sK2 @ sK1 = $false) | (X9 @ sK8 @ sK7 = $true)) ) | ~spl0_6),
2.11/0.63	  inference(trivial_inequality_removal,[],[f1775])).
2.11/0.63	tff(f1808,plain,(
2.11/0.63	  spl0_48 | spl0_60 | ~spl0_6),
2.11/0.63	  inference(avatar_split_clause,[],[f1789,f190,f1450,f855])).
2.11/0.63	tff(f1928,plain,(
2.11/0.63	  ($false = $true) | (sK3 @ sK2 @ sK1 = $false) | (~spl0_8 | ~spl0_48)),
2.11/0.63	  inference(superposition,[],[f198,f856])).
2.11/0.63	tff(f1929,plain,(
2.11/0.63	  (sK3 @ sK2 @ sK1 = $false) | (~spl0_8 | ~spl0_48)),
2.11/0.63	  inference(trivial_inequality_removal,[],[f1928])).
2.11/0.63	tff(f1937,plain,(
2.11/0.63	  spl0_64 | ~spl0_8 | ~spl0_48),
2.11/0.63	  inference(avatar_split_clause,[],[f1929,f855,f197,f1579])).
2.11/0.63	tff(f1938,plain,(
2.11/0.63	  $false),
2.11/0.63	  inference(avatar_sat_refutation,[],[f181,f188,f192,f199,f206,f213,f217,f224,f276,f696,f1337,f1513,f1582,f1584,f1587,f1588,f1589,f1590,f1808,f1937])).
2.11/0.63	% SZS output end Proof for theBenchmark
2.11/0.63	% (12935)------------------------------
2.11/0.63	% (12935)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
2.11/0.63	% (12935)Termination reason: Refutation
2.11/0.63	
2.11/0.63	% (12935)Memory used [KB]: 6396
2.11/0.63	% (12935)Time elapsed: 0.236 s
2.11/0.63	% (12935)------------------------------
2.11/0.63	% (12935)------------------------------
2.11/0.63	% (12915)Success in time 0.277 s
2.11/0.63	EOF