0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_vampire %s %d
0.12/0.33	% Computer   : n014.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% 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 07:13:56 EDT 2020
0.12/0.34	% CPUTime    : 
0.12/0.38	% (32095)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
0.12/0.38	% (32103)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
0.12/0.39	% (32110)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
0.19/0.39	% (32090)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
0.19/0.39	% (32091)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
0.19/0.39	% (32100)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
0.19/0.39	% (32101)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
0.19/0.39	% (32089)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
0.19/0.39	% (32102)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
0.19/0.40	% (32088)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
0.19/0.40	% (32094)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
0.19/0.41	% (32111)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
0.19/0.41	% (32115)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
0.19/0.41	% (32097)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
0.19/0.41	% (32114)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
0.19/0.41	% (32092)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
0.19/0.41	% (32093)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
0.19/0.41	% (32112)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
0.19/0.41	% (32113)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
0.19/0.42	% (32104)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
0.19/0.42	% (32107)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
0.19/0.42	% (32106)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
0.19/0.43	% (32117)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
0.19/0.43	% (32116)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
0.19/0.43	% (32105)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
0.19/0.43	% (32098)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
0.19/0.43	% (32099)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
0.19/0.43	% (32109)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
0.19/0.43	% (32108)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
0.19/0.43	% (32096)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
0.19/0.48	% (32091)Refutation not found, incomplete strategy
0.19/0.48	% (32091)------------------------------
0.19/0.48	% (32091)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.19/0.48	% (32091)Termination reason: Refutation not found, incomplete strategy
0.19/0.48	
0.19/0.48	% (32091)Memory used [KB]: 10234
0.19/0.48	% (32091)Time elapsed: 0.114 s
0.19/0.48	% (32091)------------------------------
0.19/0.48	% (32091)------------------------------
1.29/0.52	% (32098)Refutation not found, incomplete strategy
1.29/0.52	% (32098)------------------------------
1.29/0.52	% (32098)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
1.29/0.52	% (32098)Termination reason: Refutation not found, incomplete strategy
1.29/0.52	
1.29/0.52	% (32098)Memory used [KB]: 10490
1.29/0.52	% (32098)Time elapsed: 0.155 s
1.29/0.52	% (32098)------------------------------
1.29/0.52	% (32098)------------------------------
1.29/0.52	% (32118)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
1.39/0.53	% (32090)Refutation found. Thanks to Tanya!
1.39/0.53	% SZS status Theorem for theBenchmark
1.39/0.53	% SZS output start Proof for theBenchmark
1.39/0.53	tff(func_def_0, type, mu: '$tType').
1.39/0.53	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
1.39/0.53	tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o').
1.39/0.53	tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
1.39/0.53	tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_19, type, mtrue: '$i' -> '$o').
1.39/0.53	tff(func_def_20, type, mfalse: '$i' -> '$o').
1.39/0.53	tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
1.39/0.53	tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o').
1.39/0.53	tff(func_def_37, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
1.39/0.53	tff(func_def_40, type, vNOT: '$o' -> '$o').
1.39/0.53	tff(func_def_41, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
1.39/0.53	tff(func_def_42, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
1.39/0.53	tff(func_def_43, type, vAND: '$o' -> '$o' -> '$o').
1.39/0.53	tff(func_def_44, type, vIMP: '$o' -> '$o' -> '$o').
1.39/0.53	tff(func_def_45, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
1.39/0.53	tff(func_def_46, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
1.39/0.53	tff(func_def_47, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
1.39/0.53	tff(func_def_48, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
1.39/0.53	tff(func_def_49, type, vOR: '$o' -> '$o' -> '$o').
1.39/0.53	tff(func_def_50, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
1.39/0.53	tff(func_def_51, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
1.39/0.53	tff(func_def_52, type, sK0: '$i' -> '$i' -> '$o').
1.39/0.53	tff(func_def_54, type, sK2: '$i' -> '$i').
1.39/0.53	tff(func_def_55, type, sK3: '$i' -> '$i').
1.39/0.53	tff(f18,axiom,(
1.39/0.53	  mreflexive = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8] : X6 @ X8 @ X8)),
1.39/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive)).
1.39/0.53	tff(f19,axiom,(
1.39/0.53	  msymmetric = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9] : (X6 @ X8 @ X9 => X6 @ X9 @ X8))),
1.39/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric)).
1.39/0.53	tff(f20,axiom,(
1.39/0.53	  mserial = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8] : ? [X9] : X6 @ X8 @ X9)),
1.39/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial)).
1.39/0.53	tff(f21,axiom,(
1.39/0.53	  mtransitive = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9,X10] : ((X6 @ X9 @ X10 & X6 @ X8 @ X9) => X6 @ X8 @ X10))),
1.39/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive)).
1.39/0.53	tff(f22,axiom,(
1.39/0.53	  meuclidean = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9,X10] : ((X6 @ X8 @ X10 & X6 @ X8 @ X9) => X6 @ X9 @ X10))),
1.39/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean)).
1.39/0.53	tff(f32,conjecture,(
1.39/0.53	  ! [X6 : '$i' -> '$i' -> '$o'] : ((msymmetric @ X6 & mtransitive @ X6 & mserial @ X6) <=> (meuclidean @ X6 & mreflexive @ X6))),
1.39/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
1.39/0.53	tff(f33,negated_conjecture,(
1.39/0.53	  ~! [X6 : '$i' -> '$i' -> '$o'] : ((msymmetric @ X6 & mtransitive @ X6 & mserial @ X6) <=> (meuclidean @ X6 & mreflexive @ X6))),
1.39/0.53	  inference(negated_conjecture,[],[f32])).
1.39/0.53	tff(f34,plain,(
1.39/0.53	  ~! [X0 : '$i' -> '$i' -> '$o'] : ((msymmetric @ X0 & mtransitive @ X0 & mserial @ X0) <=> (meuclidean @ X0 & mreflexive @ X0))),
1.39/0.53	  inference(rectify,[],[f33])).
1.39/0.53	tff(f35,plain,(
1.39/0.53	  ~! [X0 : '$i' -> '$i' -> '$o'] : (((msymmetric @ X0 = $true) & (mtransitive @ X0 = $true) & (mserial @ X0 = $true)) <=> ((meuclidean @ X0 = $true) & (mreflexive @ X0 = $true)))),
1.39/0.53	  inference(fool_elimination,[],[f34])).
1.39/0.53	tff(f66,plain,(
1.39/0.53	  mserial = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1] : ? [X2] : X0 @ X1 @ X2)),
1.39/0.53	  inference(rectify,[],[f20])).
1.39/0.53	tff(f67,plain,(
1.39/0.53	  bCOMB @ vPI('$i') @ (bCOMB @ vSIGMA('$i')) = mserial),
1.39/0.53	  inference(fool_elimination,[],[f66])).
1.39/0.53	tff(f68,plain,(
1.39/0.53	  mreflexive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1] : X0 @ X1 @ X1)),
1.39/0.53	  inference(rectify,[],[f18])).
1.39/0.53	tff(f69,plain,(
1.39/0.53	  bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive),
1.39/0.53	  inference(fool_elimination,[],[f68])).
1.39/0.53	tff(f70,plain,(
1.39/0.53	  msymmetric = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2] : (X0 @ X1 @ X2 => X0 @ X2 @ X1))),
1.39/0.53	  inference(rectify,[],[f19])).
1.39/0.55	tff(f71,plain,(
1.39/0.55	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) = msymmetric),
1.39/0.55	  inference(fool_elimination,[],[f70])).
1.39/0.55	tff(f72,plain,(
1.39/0.55	  mtransitive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2,X3] : ((X0 @ X2 @ X3 & X0 @ X1 @ X2) => X0 @ X1 @ X3))),
1.39/0.55	  inference(rectify,[],[f21])).
1.39/0.55	tff(f73,plain,(
1.39/0.55	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = mtransitive),
1.39/0.55	  inference(fool_elimination,[],[f72])).
1.39/0.55	tff(f74,plain,(
1.39/0.55	  meuclidean = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2,X3] : ((X0 @ X1 @ X3 & X0 @ X1 @ X2) => X0 @ X2 @ X3))),
1.39/0.55	  inference(rectify,[],[f22])).
1.39/0.55	tff(f75,plain,(
1.39/0.55	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = meuclidean),
1.39/0.55	  inference(fool_elimination,[],[f74])).
1.39/0.55	tff(f94,plain,(
1.39/0.55	  ? [X0 : '$i' -> '$i' -> '$o'] : (((msymmetric @ X0 = $true) & (mtransitive @ X0 = $true) & (mserial @ X0 = $true)) <~> ((meuclidean @ X0 = $true) & (mreflexive @ X0 = $true)))),
1.39/0.55	  inference(ennf_transformation,[],[f35])).
1.39/0.55	tff(f95,plain,(
1.39/0.55	  ? [X0 : '$i' -> '$i' -> '$o'] : ((((meuclidean @ X0 != $true) | (mreflexive @ X0 != $true)) | ((msymmetric @ X0 != $true) | (mtransitive @ X0 != $true) | (mserial @ X0 != $true))) & (((meuclidean @ X0 = $true) & (mreflexive @ X0 = $true)) | ((msymmetric @ X0 = $true) & (mtransitive @ X0 = $true) & (mserial @ X0 = $true))))),
1.39/0.55	  inference(nnf_transformation,[],[f94])).
1.39/0.55	tff(f96,plain,(
1.39/0.55	  ? [X0 : '$i' -> '$i' -> '$o'] : (((meuclidean @ X0 != $true) | (mreflexive @ X0 != $true) | (msymmetric @ X0 != $true) | (mtransitive @ X0 != $true) | (mserial @ X0 != $true)) & (((meuclidean @ X0 = $true) & (mreflexive @ X0 = $true)) | ((msymmetric @ X0 = $true) & (mtransitive @ X0 = $true) & (mserial @ X0 = $true))))),
1.39/0.55	  inference(flattening,[],[f95])).
1.39/0.55	tff(f97,plain,(
1.39/0.55	  ? [X0 : '$i' -> '$i' -> '$o'] : (((meuclidean @ X0 != $true) | (mreflexive @ X0 != $true) | (msymmetric @ X0 != $true) | (mtransitive @ X0 != $true) | (mserial @ X0 != $true)) & (((meuclidean @ X0 = $true) & (mreflexive @ X0 = $true)) | ((msymmetric @ X0 = $true) & (mtransitive @ X0 = $true) & (mserial @ X0 = $true)))) => (((meuclidean @ sK0 != $true) | (mreflexive @ sK0 != $true) | (msymmetric @ sK0 != $true) | (mtransitive @ sK0 != $true) | (mserial @ sK0 != $true)) & (((meuclidean @ sK0 = $true) & (mreflexive @ sK0 = $true)) | ((msymmetric @ sK0 = $true) & (mtransitive @ sK0 = $true) & (mserial @ sK0 = $true))))),
1.39/0.55	  introduced(choice_axiom,[])).
1.39/0.55	tff(f98,plain,(
1.39/0.55	  ((meuclidean @ sK0 != $true) | (mreflexive @ sK0 != $true) | (msymmetric @ sK0 != $true) | (mtransitive @ sK0 != $true) | (mserial @ sK0 != $true)) & (((meuclidean @ sK0 = $true) & (mreflexive @ sK0 = $true)) | ((msymmetric @ sK0 = $true) & (mtransitive @ sK0 = $true) & (mserial @ sK0 = $true)))),
1.39/0.55	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f96,f97])).
1.39/0.55	tff(f99,plain,(
1.39/0.55	  (mreflexive @ sK0 = $true) | (mserial @ sK0 = $true)),
1.39/0.55	  inference(cnf_transformation,[],[f98])).
1.39/0.55	tff(f100,plain,(
1.39/0.55	  (mreflexive @ sK0 = $true) | (mtransitive @ sK0 = $true)),
1.39/0.55	  inference(cnf_transformation,[],[f98])).
1.39/0.55	tff(f101,plain,(
1.39/0.55	  (mreflexive @ sK0 = $true) | (msymmetric @ sK0 = $true)),
1.39/0.55	  inference(cnf_transformation,[],[f98])).
1.39/0.55	tff(f103,plain,(
1.39/0.55	  (meuclidean @ sK0 = $true) | (mtransitive @ sK0 = $true)),
1.39/0.55	  inference(cnf_transformation,[],[f98])).
1.39/0.55	tff(f104,plain,(
1.39/0.55	  (meuclidean @ sK0 = $true) | (msymmetric @ sK0 = $true)),
1.39/0.55	  inference(cnf_transformation,[],[f98])).
1.39/0.55	tff(f105,plain,(
1.39/0.55	  (meuclidean @ sK0 != $true) | (mreflexive @ sK0 != $true) | (msymmetric @ sK0 != $true) | (mtransitive @ sK0 != $true) | (mserial @ sK0 != $true)),
1.39/0.55	  inference(cnf_transformation,[],[f98])).
1.39/0.55	tff(f106,plain,(
1.39/0.55	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = meuclidean),
1.39/0.55	  inference(cnf_transformation,[],[f75])).
1.39/0.55	tff(f107,plain,(
1.39/0.55	  bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive),
1.39/0.55	  inference(cnf_transformation,[],[f69])).
1.39/0.55	tff(f108,plain,(
1.39/0.55	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) = msymmetric),
1.39/0.55	  inference(cnf_transformation,[],[f71])).
1.39/0.55	tff(f109,plain,(
1.39/0.55	  bCOMB @ vPI('$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),
1.39/0.55	  inference(cnf_transformation,[],[f73])).
1.39/0.55	tff(f111,plain,(
1.39/0.55	  bCOMB @ vPI('$i') @ (bCOMB @ vSIGMA('$i')) = mserial),
1.39/0.55	  inference(cnf_transformation,[],[f67])).
1.39/0.55	tff(f112,plain,(
1.39/0.55	  (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) @ sK0 != $true) | (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 != $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) @ sK0 != $true) | (bCOMB @ vPI('$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))) @ sK0 != $true) | (bCOMB @ vPI('$i') @ (bCOMB @ vSIGMA('$i')) @ sK0 != $true)),
1.39/0.55	  inference(definition_unfolding,[],[f105,f106,f107,f108,f109,f111])).
1.39/0.55	tff(f113,plain,(
1.39/0.55	  (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) @ sK0 = $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) @ sK0 = $true)),
1.39/0.55	  inference(definition_unfolding,[],[f104,f106,f108])).
1.39/0.56	tff(f114,plain,(
1.39/0.56	  (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) @ sK0 = $true) | (bCOMB @ vPI('$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))) @ sK0 = $true)),
1.39/0.56	  inference(definition_unfolding,[],[f103,f106,f109])).
1.39/0.56	tff(f116,plain,(
1.39/0.56	  (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 = $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) @ sK0 = $true)),
1.39/0.56	  inference(definition_unfolding,[],[f101,f107,f108])).
1.39/0.56	tff(f117,plain,(
1.39/0.56	  (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 = $true) | (bCOMB @ vPI('$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))) @ sK0 = $true)),
1.39/0.56	  inference(definition_unfolding,[],[f100,f107,f109])).
1.39/0.56	tff(f118,plain,(
1.39/0.56	  (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 = $true) | (bCOMB @ vPI('$i') @ (bCOMB @ vSIGMA('$i')) @ sK0 = $true)),
1.39/0.56	  inference(definition_unfolding,[],[f99,f107,f111])).
1.39/0.56	tff(f119,plain,(
1.39/0.56	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) = $true) | (vPI('$i') @ (bCOMB @ vSIGMA('$i') @ sK0) = $true)),
1.39/0.56	  inference(combinator_demodulation,[],[f118])).
1.39/0.56	tff(f120,plain,(
1.39/0.56	  ( ! [X1] : ((vPI('$i') @ (sCOMB @ sK0 @ iCOMB) = $true) | (bCOMB @ vSIGMA('$i') @ sK0 @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f119])).
1.39/0.56	tff(f121,plain,(
1.39/0.56	  ( ! [X2,X1] : ((sCOMB @ sK0 @ iCOMB @ X2 = $true) | (bCOMB @ vSIGMA('$i') @ sK0 @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f120])).
1.39/0.56	tff(f122,plain,(
1.39/0.56	  ( ! [X2,X1] : ((sK0 @ X2 @ X2 = $true) | (vSIGMA('$i') @ (sK0 @ X1) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f121])).
1.39/0.56	tff(f123,plain,(
1.39/0.56	  ( ! [X2,X1] : ((sK0 @ X2 @ X2 = $true) | (sK0 @ X1 @ (sK2 @ X1) = $true)) )),
1.39/0.56	  inference(sigma_clausification,[],[f122])).
1.39/0.56	tff(f124,plain,(
1.39/0.56	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) = $true) | (vPI('$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 @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) = $true)),
1.39/0.56	  inference(combinator_demodulation,[],[f117])).
1.39/0.56	tff(f125,plain,(
1.39/0.56	  ( ! [X1] : ((vPI('$i') @ (sCOMB @ sK0 @ iCOMB) = $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f124])).
1.39/0.56	tff(f126,plain,(
1.39/0.56	  ( ! [X2,X1] : ((sCOMB @ sK0 @ iCOMB @ X2 = $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f125])).
1.39/0.56	tff(f127,plain,(
1.39/0.56	  ( ! [X2,X1] : ((sK0 @ X2 @ X2 = $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X1)))) @ (cCOMB @ sK0 @ X1))) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f126])).
1.39/0.56	tff(f128,plain,(
1.39/0.56	  ( ! [X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X1)))) @ (cCOMB @ sK0 @ X1)) @ X3 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f127])).
1.39/0.56	tff(f129,plain,(
1.39/0.56	  ( ! [X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X3)) @ (sK0 @ X3 @ X1))) @ (cCOMB @ sK0 @ X1)) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f128])).
1.39/0.56	tff(f130,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X3)) @ (sK0 @ X3 @ X1))) @ (cCOMB @ sK0 @ X1) @ X4 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f129])).
1.39/0.56	tff(f131,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (vIMP @ (vAND @ (sK0 @ X4 @ X3) @ (sK0 @ X3 @ X1)) @ (sK0 @ X4 @ X1) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f130])).
1.39/0.56	tff(f132,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (vAND @ (sK0 @ X4 @ X3) @ (sK0 @ X3 @ X1) = $false) | (sK0 @ X4 @ X1 = $true)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f131])).
1.39/0.56	tff(f133,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (sK0 @ X4 @ X3 = $false) | (sK0 @ X4 @ X1 = $true) | (sK0 @ X3 @ X1 = $false)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f132])).
1.39/0.56	tff(f134,plain,(
1.39/0.56	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) = $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0)) = $true)),
1.39/0.56	  inference(combinator_demodulation,[],[f116])).
1.39/0.56	tff(f135,plain,(
1.39/0.56	  ( ! [X1] : ((vPI('$i') @ (sCOMB @ sK0 @ iCOMB) = $true) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f134])).
1.39/0.56	tff(f136,plain,(
1.39/0.56	  ( ! [X2,X1] : ((sCOMB @ sK0 @ iCOMB @ X2 = $true) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f135])).
1.39/0.56	tff(f137,plain,(
1.39/0.56	  ( ! [X2,X1] : ((sK0 @ X2 @ X2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ X1)) @ (sK0 @ X1)) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f136])).
1.39/0.56	tff(f138,plain,(
1.39/0.56	  ( ! [X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ X1)) @ (sK0 @ X1) @ X3 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f137])).
1.39/0.56	tff(f139,plain,(
1.39/0.56	  ( ! [X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (vIMP @ (sK0 @ X3 @ X1) @ (sK0 @ X1 @ X3) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f138])).
1.39/0.56	tff(f140,plain,(
1.39/0.56	  ( ! [X2,X3,X1] : ((sK0 @ X2 @ X2 = $true) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f139])).
1.39/0.56	tff(f152,plain,(
1.39/0.56	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) = $true) | (vPI('$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 @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) = $true)),
1.39/0.56	  inference(combinator_demodulation,[],[f114])).
1.39/0.56	tff(f153,plain,(
1.39/0.56	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) = $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f152])).
1.39/0.56	tff(f154,plain,(
1.39/0.56	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ X2 = $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f153])).
1.39/0.56	tff(f155,plain,(
1.39/0.56	  ( ! [X2,X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X2)))) @ (cCOMB @ sK0 @ X2))) = $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X1)))) @ (cCOMB @ sK0 @ X1))) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f154])).
1.39/0.56	tff(f156,plain,(
1.39/0.56	  ( ! [X2,X3,X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X2)))) @ (cCOMB @ sK0 @ X2))) = $true) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X1)))) @ (cCOMB @ sK0 @ X1)) @ X3 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f155])).
1.39/0.56	tff(f157,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X2)))) @ (cCOMB @ sK0 @ X2)) @ X4 = $true) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X1)))) @ (cCOMB @ sK0 @ X1)) @ X3 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f156])).
1.39/0.56	tff(f158,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X4)) @ (cCOMB @ sK0 @ X2))) @ (sK0 @ X4 @ X2)) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X3)) @ (sK0 @ X3 @ X1))) @ (cCOMB @ sK0 @ X1)) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f157])).
1.39/0.56	tff(f159,plain,(
1.39/0.56	  ( ! [X4,X2,X5,X3,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X4)) @ (cCOMB @ sK0 @ X2))) @ (sK0 @ X4 @ X2)) = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X3)) @ (sK0 @ X3 @ X1))) @ (cCOMB @ sK0 @ X1) @ X5 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f158])).
1.39/0.56	tff(f160,plain,(
1.39/0.56	  ( ! [X6,X4,X2,X5,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X4)) @ (cCOMB @ sK0 @ X2))) @ (sK0 @ X4 @ X2) @ X6 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X3)) @ (sK0 @ X3 @ X1))) @ (cCOMB @ sK0 @ X1) @ X5 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f159])).
1.39/0.56	tff(f161,plain,(
1.39/0.56	  ( ! [X6,X4,X2,X5,X3,X1] : ((vIMP @ (vAND @ (sK0 @ X6 @ X4) @ (sK0 @ X6 @ X2)) @ (sK0 @ X4 @ X2) = $true) | (vIMP @ (vAND @ (sK0 @ X5 @ X3) @ (sK0 @ X3 @ X1)) @ (sK0 @ X5 @ X1) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f160])).
1.39/0.56	tff(f162,plain,(
1.39/0.56	  ( ! [X6,X4,X2,X5,X3,X1] : ((vIMP @ (vAND @ (sK0 @ X6 @ X4) @ (sK0 @ X6 @ X2)) @ (sK0 @ X4 @ X2) = $true) | (vAND @ (sK0 @ X5 @ X3) @ (sK0 @ X3 @ X1) = $false) | (sK0 @ X5 @ X1 = $true)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f161])).
1.39/0.56	tff(f163,plain,(
1.39/0.56	  ( ! [X6,X4,X2,X5,X3,X1] : ((vIMP @ (vAND @ (sK0 @ X6 @ X4) @ (sK0 @ X6 @ X2)) @ (sK0 @ X4 @ X2) = $true) | (sK0 @ X5 @ X3 = $false) | (sK0 @ X5 @ X1 = $true) | (sK0 @ X3 @ X1 = $false)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f162])).
1.39/0.56	tff(f164,plain,(
1.39/0.56	  ( ! [X6,X4,X2,X5,X3,X1] : ((vAND @ (sK0 @ X6 @ X4) @ (sK0 @ X6 @ X2) = $false) | (sK0 @ X5 @ X3 = $false) | (sK0 @ X5 @ X1 = $true) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X4 @ X2 = $true)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f163])).
1.39/0.56	tff(f165,plain,(
1.39/0.56	  ( ! [X6,X4,X2,X5,X3,X1] : ((sK0 @ X6 @ X4 = $false) | (sK0 @ X5 @ X3 = $false) | (sK0 @ X5 @ X1 = $true) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X4 @ X2 = $true) | (sK0 @ X6 @ X2 = $false)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f164])).
1.39/0.56	tff(f166,plain,(
1.39/0.56	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) = $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0)) = $true)),
1.39/0.56	  inference(combinator_demodulation,[],[f113])).
1.39/0.56	tff(f167,plain,(
1.39/0.56	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) = $true) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f166])).
1.39/0.56	tff(f168,plain,(
1.39/0.56	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ X2 = $true) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ X1 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f167])).
1.39/0.56	tff(f169,plain,(
1.39/0.56	  ( ! [X2,X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X2)))) @ (cCOMB @ sK0 @ X2))) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ X1)) @ (sK0 @ X1)) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f168])).
1.39/0.56	tff(f170,plain,(
1.39/0.56	  ( ! [X2,X3,X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X2)))) @ (cCOMB @ sK0 @ X2))) = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ X1)) @ (sK0 @ X1) @ X3 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f169])).
1.39/0.56	tff(f171,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X2)))) @ (cCOMB @ sK0 @ X2)) @ X4 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ X1)) @ (sK0 @ X1) @ X3 = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f170])).
1.39/0.56	tff(f172,plain,(
1.39/0.56	  ( ! [X4,X2,X3,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X4)) @ (cCOMB @ sK0 @ X2))) @ (sK0 @ X4 @ X2)) = $true) | (vIMP @ (sK0 @ X3 @ X1) @ (sK0 @ X1 @ X3) = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f171])).
1.39/0.56	tff(f173,plain,(
1.39/0.56	  ( ! [X4,X2,X5,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X4)) @ (cCOMB @ sK0 @ X2))) @ (sK0 @ X4 @ X2) @ X5 = $true) | (vIMP @ (sK0 @ X3 @ X1) @ (sK0 @ X1 @ X3) = $true)) )),
1.39/0.56	  inference(pi_clausification,[],[f172])).
1.39/0.56	tff(f174,plain,(
1.39/0.56	  ( ! [X4,X2,X5,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X4)) @ (cCOMB @ sK0 @ X2))) @ (sK0 @ X4 @ X2) @ X5 = $true) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f173])).
1.39/0.56	tff(f175,plain,(
1.39/0.56	  ( ! [X4,X2,X5,X3,X1] : ((vIMP @ (vAND @ (sK0 @ X5 @ X4) @ (sK0 @ X5 @ X2)) @ (sK0 @ X4 @ X2) = $true) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true)) )),
1.39/0.56	  inference(combinator_demodulation,[],[f174])).
1.39/0.56	tff(f176,plain,(
1.39/0.56	  ( ! [X4,X2,X5,X3,X1] : ((vAND @ (sK0 @ X5 @ X4) @ (sK0 @ X5 @ X2) = $false) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true) | (sK0 @ X4 @ X2 = $true)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f175])).
1.39/0.56	tff(f177,plain,(
1.39/0.56	  ( ! [X4,X2,X5,X3,X1] : ((sK0 @ X5 @ X4 = $false) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true) | (sK0 @ X4 @ X2 = $true) | (sK0 @ X5 @ X2 = $false)) )),
1.39/0.56	  inference(binary_proxy_clausification,[],[f176])).
1.39/0.56	tff(f178,plain,(
1.39/0.56	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) != $true) | (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0)) != $true) | (vPI('$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 @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) != $true) | (vPI('$i') @ (bCOMB @ vSIGMA('$i') @ sK0) != $true)),
1.39/0.56	  inference(combinator_demodulation,[],[f112])).
1.39/0.56	tff(f179,plain,(
1.39/0.56	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) != $true) | (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0)) != $true) | (vPI('$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 @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) != $true) | (bCOMB @ vSIGMA('$i') @ sK0 @ sK4 = $false)),
1.39/0.56	  inference(sigma_clausification,[],[f178])).
1.39/0.57	% (32119)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
1.39/0.58	tff(f180,plain,(
1.39/0.58	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) != $true) | (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0)) != $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ sK5 = $false) | (bCOMB @ vSIGMA('$i') @ sK0 @ sK4 = $false)),
1.39/0.58	  inference(sigma_clausification,[],[f179])).
1.39/0.58	tff(f181,plain,(
1.39/0.58	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) != $true) | (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ sK6 = $false) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ sK5 = $false) | (bCOMB @ vSIGMA('$i') @ sK0 @ sK4 = $false)),
1.39/0.58	  inference(sigma_clausification,[],[f180])).
1.39/0.58	tff(f182,plain,(
1.39/0.58	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0)))) != $true) | (sCOMB @ sK0 @ iCOMB @ sK7 = $false) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ sK6 = $false) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ sK5 = $false) | (bCOMB @ vSIGMA('$i') @ sK0 @ sK4 = $false)),
1.39/0.58	  inference(sigma_clausification,[],[f181])).
1.39/0.58	tff(f183,plain,(
1.39/0.58	  (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ sK8 = $false) | (sCOMB @ sK0 @ iCOMB @ sK7 = $false) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ sK6 = $false) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ sK5 = $false) | (bCOMB @ vSIGMA('$i') @ sK0 @ sK4 = $false)),
1.39/0.58	  inference(sigma_clausification,[],[f182])).
1.39/0.58	tff(f184,plain,(
1.39/0.58	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK8)))) @ (cCOMB @ sK0 @ sK8))) = $false) | (sK0 @ sK7 @ sK7 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK6)) @ (sK0 @ sK6)) = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK5)))) @ (cCOMB @ sK0 @ sK5))) = $false) | (vSIGMA('$i') @ (sK0 @ sK4) = $false)),
1.39/0.58	  inference(combinator_demodulation,[],[f183])).
1.39/0.58	tff(f185,plain,(
1.39/0.58	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK8)))) @ (cCOMB @ sK0 @ sK8))) = $false) | (sK0 @ sK7 @ sK7 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK6)) @ (sK0 @ sK6)) = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK5)))) @ (cCOMB @ sK0 @ sK5))) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(pi_clausification,[],[f184])).
1.39/0.58	tff(f186,plain,(
1.39/0.58	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK8)))) @ (cCOMB @ sK0 @ sK8))) = $false) | (sK0 @ sK7 @ sK7 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK6)) @ (sK0 @ sK6)) = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK5)))) @ (cCOMB @ sK0 @ sK5)) @ sK9 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(sigma_clausification,[],[f185])).
1.39/0.58	tff(f187,plain,(
1.39/0.58	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK8)))) @ (cCOMB @ sK0 @ sK8))) = $false) | (sK0 @ sK7 @ sK7 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK6)) @ (sK0 @ sK6) @ sK10 = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK5)))) @ (cCOMB @ sK0 @ sK5)) @ sK9 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(sigma_clausification,[],[f186])).
1.39/0.58	tff(f188,plain,(
1.39/0.58	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK8)))) @ (cCOMB @ sK0 @ sK8)) @ sK11 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK6)) @ (sK0 @ sK6) @ sK10 = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK5)))) @ (cCOMB @ sK0 @ sK5)) @ sK9 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(sigma_clausification,[],[f187])).
1.39/0.58	tff(f189,plain,(
1.39/0.58	  ( ! [X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK11)) @ (cCOMB @ sK0 @ sK8))) @ (sK0 @ sK11 @ sK8)) = $false) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK9)) @ (sK0 @ sK9 @ sK5))) @ (cCOMB @ sK0 @ sK5)) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(combinator_demodulation,[],[f188])).
1.39/0.58	tff(f190,plain,(
1.39/0.58	  ( ! [X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK11)) @ (cCOMB @ sK0 @ sK8))) @ (sK0 @ sK11 @ sK8)) = $false) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK9)) @ (sK0 @ sK9 @ sK5))) @ (cCOMB @ sK0 @ sK5) @ sK12 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(sigma_clausification,[],[f189])).
1.39/0.58	tff(f191,plain,(
1.39/0.58	  ( ! [X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK11)) @ (cCOMB @ sK0 @ sK8))) @ (sK0 @ sK11 @ sK8) @ sK13 = $false) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK9)) @ (sK0 @ sK9 @ sK5))) @ (cCOMB @ sK0 @ sK5) @ sK12 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(sigma_clausification,[],[f190])).
1.39/0.58	tff(f192,plain,(
1.39/0.58	  ( ! [X1] : ((vIMP @ (vAND @ (sK0 @ sK13 @ sK11) @ (sK0 @ sK13 @ sK8)) @ (sK0 @ sK11 @ sK8) = $false) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(combinator_demodulation,[],[f191])).
1.39/0.58	tff(f193,plain,(
1.39/0.58	  ( ! [X1] : ((vAND @ (sK0 @ sK13 @ sK11) @ (sK0 @ sK13 @ sK8) = $true) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f192])).
1.39/0.58	tff(f194,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f192])).
1.39/0.58	tff(f195,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f194])).
1.39/0.58	tff(f196,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f194])).
1.39/0.58	tff(f197,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5) = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f196])).
1.39/0.58	tff(f198,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK12 @ sK5 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f196])).
1.39/0.58	tff(f199,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK12 @ sK9 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f197])).
1.39/0.58	tff(f200,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK9 @ sK5 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f197])).
1.39/0.58	tff(f201,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5) = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f195])).
1.39/0.58	tff(f202,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK12 @ sK5 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f195])).
1.39/0.58	tff(f203,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK12 @ sK9 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f201])).
1.39/0.58	tff(f204,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK11 @ sK8 = $false) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK9 @ sK5 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f201])).
1.39/0.58	tff(f205,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f193])).
1.39/0.58	tff(f206,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (vIMP @ (sK0 @ sK10 @ sK6) @ (sK0 @ sK6 @ sK10) = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f193])).
1.39/0.58	tff(f207,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f206])).
1.39/0.58	tff(f208,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f206])).
1.39/0.58	tff(f209,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5) = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f208])).
1.39/0.58	tff(f210,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK12 @ sK5 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f208])).
1.39/0.58	tff(f211,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK12 @ sK9 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f209])).
1.39/0.58	tff(f212,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK9 @ sK5 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f209])).
1.39/0.58	tff(f213,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5) = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f207])).
1.39/0.58	tff(f214,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK12 @ sK5 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f207])).
1.39/0.58	tff(f215,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK12 @ sK9 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f213])).
1.39/0.58	tff(f216,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK8 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK9 @ sK5 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f213])).
1.39/0.58	tff(f217,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f205])).
1.39/0.58	tff(f218,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (vIMP @ (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5)) @ (sK0 @ sK12 @ sK5) = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f205])).
1.39/0.58	tff(f219,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5) = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f218])).
1.39/0.58	tff(f220,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK12 @ sK5 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f218])).
1.39/0.58	tff(f221,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK12 @ sK9 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f219])).
1.39/0.58	tff(f222,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK6 @ sK10 = $false) | (sK0 @ sK9 @ sK5 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f219])).
1.39/0.58	tff(f223,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (vAND @ (sK0 @ sK12 @ sK9) @ (sK0 @ sK9 @ sK5) = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f217])).
1.39/0.58	tff(f224,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK12 @ sK5 = $false) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f217])).
1.39/0.58	tff(f225,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK12 @ sK9 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f223])).
1.39/0.58	tff(f226,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK13 @ sK11 = $true) | (sK0 @ sK7 @ sK7 = $false) | (sK0 @ sK10 @ sK6 = $true) | (sK0 @ sK9 @ sK5 = $true) | (sK0 @ sK4 @ X1 = $false)) )),
1.39/0.58	  inference(binary_proxy_clausification,[],[f223])).
1.39/0.58	tff(f228,plain,(
1.39/0.58	  spl1_0 <=> ! [X1] : (sK0 @ sK4 @ X1 = $false)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_0])])).
1.39/0.58	tff(f229,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ sK4 @ X1 = $false)) ) | ~spl1_0),
1.39/0.58	  inference(avatar_component_clause,[],[f228])).
1.39/0.58	tff(f234,plain,(
1.39/0.58	  spl1_2 <=> (sK0 @ sK12 @ sK9 = $true)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
1.39/0.58	tff(f235,plain,(
1.39/0.58	  (sK0 @ sK12 @ sK9 = $true) | ~spl1_2),
1.39/0.58	  inference(avatar_component_clause,[],[f234])).
1.39/0.58	tff(f240,plain,(
1.39/0.58	  spl1_4 <=> (sK0 @ sK10 @ sK6 = $true)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
1.39/0.58	tff(f241,plain,(
1.39/0.58	  (sK0 @ sK10 @ sK6 = $true) | ~spl1_4),
1.39/0.58	  inference(avatar_component_clause,[],[f240])).
1.39/0.58	tff(f246,plain,(
1.39/0.58	  spl1_6 <=> (sK0 @ sK7 @ sK7 = $false)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
1.39/0.58	tff(f247,plain,(
1.39/0.58	  (sK0 @ sK7 @ sK7 = $false) | ~spl1_6),
1.39/0.58	  inference(avatar_component_clause,[],[f246])).
1.39/0.58	tff(f252,plain,(
1.39/0.58	  spl1_8 <=> (sK0 @ sK13 @ sK11 = $true)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
1.39/0.58	tff(f253,plain,(
1.39/0.58	  (sK0 @ sK13 @ sK11 = $true) | ~spl1_8),
1.39/0.58	  inference(avatar_component_clause,[],[f252])).
1.39/0.58	tff(f254,plain,(
1.39/0.58	  spl1_0 | spl1_2 | spl1_4 | spl1_6 | spl1_8),
1.39/0.58	  inference(avatar_split_clause,[],[f225,f252,f246,f240,f234,f228])).
1.39/0.58	tff(f259,plain,(
1.39/0.58	  spl1_10 <=> (sK0 @ sK9 @ sK5 = $true)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
1.39/0.58	tff(f260,plain,(
1.39/0.58	  (sK0 @ sK9 @ sK5 = $true) | ~spl1_10),
1.39/0.58	  inference(avatar_component_clause,[],[f259])).
1.39/0.58	tff(f261,plain,(
1.39/0.58	  spl1_0 | spl1_10 | spl1_4 | spl1_6 | spl1_8),
1.39/0.58	  inference(avatar_split_clause,[],[f226,f252,f246,f240,f259,f228])).
1.39/0.58	tff(f266,plain,(
1.39/0.58	  spl1_12 <=> (sK0 @ sK12 @ sK5 = $false)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
1.39/0.58	tff(f267,plain,(
1.39/0.58	  (sK0 @ sK12 @ sK5 = $false) | ~spl1_12),
1.39/0.58	  inference(avatar_component_clause,[],[f266])).
1.39/0.58	tff(f268,plain,(
1.39/0.58	  spl1_0 | spl1_12 | spl1_4 | spl1_6 | spl1_8),
1.39/0.58	  inference(avatar_split_clause,[],[f224,f252,f246,f240,f266,f228])).
1.39/0.58	tff(f273,plain,(
1.39/0.58	  spl1_14 <=> (sK0 @ sK6 @ sK10 = $false)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
1.39/0.58	tff(f274,plain,(
1.39/0.58	  (sK0 @ sK6 @ sK10 = $false) | ~spl1_14),
1.39/0.58	  inference(avatar_component_clause,[],[f273])).
1.39/0.58	tff(f275,plain,(
1.39/0.58	  spl1_0 | spl1_2 | spl1_14 | spl1_6 | spl1_8),
1.39/0.58	  inference(avatar_split_clause,[],[f221,f252,f246,f273,f234,f228])).
1.39/0.58	tff(f276,plain,(
1.39/0.58	  spl1_0 | spl1_10 | spl1_14 | spl1_6 | spl1_8),
1.39/0.58	  inference(avatar_split_clause,[],[f222,f252,f246,f273,f259,f228])).
1.39/0.58	tff(f277,plain,(
1.39/0.58	  spl1_0 | spl1_12 | spl1_14 | spl1_6 | spl1_8),
1.39/0.58	  inference(avatar_split_clause,[],[f220,f252,f246,f273,f266,f228])).
1.39/0.58	tff(f282,plain,(
1.39/0.58	  spl1_16 <=> (sK0 @ sK13 @ sK8 = $true)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
1.39/0.58	tff(f283,plain,(
1.39/0.58	  (sK0 @ sK13 @ sK8 = $true) | ~spl1_16),
1.39/0.58	  inference(avatar_component_clause,[],[f282])).
1.39/0.58	tff(f284,plain,(
1.39/0.58	  spl1_0 | spl1_2 | spl1_4 | spl1_6 | spl1_16),
1.39/0.58	  inference(avatar_split_clause,[],[f215,f282,f246,f240,f234,f228])).
1.39/0.58	tff(f285,plain,(
1.39/0.58	  spl1_0 | spl1_10 | spl1_4 | spl1_6 | spl1_16),
1.39/0.58	  inference(avatar_split_clause,[],[f216,f282,f246,f240,f259,f228])).
1.39/0.58	tff(f286,plain,(
1.39/0.58	  spl1_0 | spl1_12 | spl1_4 | spl1_6 | spl1_16),
1.39/0.58	  inference(avatar_split_clause,[],[f214,f282,f246,f240,f266,f228])).
1.39/0.58	tff(f287,plain,(
1.39/0.58	  spl1_0 | spl1_2 | spl1_14 | spl1_6 | spl1_16),
1.39/0.58	  inference(avatar_split_clause,[],[f211,f282,f246,f273,f234,f228])).
1.39/0.58	tff(f288,plain,(
1.39/0.58	  spl1_0 | spl1_10 | spl1_14 | spl1_6 | spl1_16),
1.39/0.58	  inference(avatar_split_clause,[],[f212,f282,f246,f273,f259,f228])).
1.39/0.58	tff(f289,plain,(
1.39/0.58	  spl1_0 | spl1_12 | spl1_14 | spl1_6 | spl1_16),
1.39/0.58	  inference(avatar_split_clause,[],[f210,f282,f246,f273,f266,f228])).
1.39/0.58	tff(f294,plain,(
1.39/0.58	  spl1_18 <=> (sK0 @ sK11 @ sK8 = $false)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_18])])).
1.39/0.58	tff(f295,plain,(
1.39/0.58	  (sK0 @ sK11 @ sK8 = $false) | ~spl1_18),
1.39/0.58	  inference(avatar_component_clause,[],[f294])).
1.39/0.58	tff(f296,plain,(
1.39/0.58	  spl1_0 | spl1_2 | spl1_4 | spl1_6 | spl1_18),
1.39/0.58	  inference(avatar_split_clause,[],[f203,f294,f246,f240,f234,f228])).
1.39/0.58	tff(f297,plain,(
1.39/0.58	  spl1_0 | spl1_10 | spl1_4 | spl1_6 | spl1_18),
1.39/0.58	  inference(avatar_split_clause,[],[f204,f294,f246,f240,f259,f228])).
1.39/0.58	tff(f298,plain,(
1.39/0.58	  spl1_0 | spl1_12 | spl1_4 | spl1_6 | spl1_18),
1.39/0.58	  inference(avatar_split_clause,[],[f202,f294,f246,f240,f266,f228])).
1.39/0.58	tff(f299,plain,(
1.39/0.58	  spl1_0 | spl1_2 | spl1_14 | spl1_6 | spl1_18),
1.39/0.58	  inference(avatar_split_clause,[],[f199,f294,f246,f273,f234,f228])).
1.39/0.58	tff(f300,plain,(
1.39/0.58	  spl1_0 | spl1_10 | spl1_14 | spl1_6 | spl1_18),
1.39/0.58	  inference(avatar_split_clause,[],[f200,f294,f246,f273,f259,f228])).
1.39/0.58	tff(f301,plain,(
1.39/0.58	  spl1_0 | spl1_12 | spl1_14 | spl1_6 | spl1_18),
1.39/0.58	  inference(avatar_split_clause,[],[f198,f294,f246,f273,f266,f228])).
1.39/0.58	tff(f303,plain,(
1.39/0.58	  spl1_20 <=> ! [X1,X3] : ((sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true))),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_20])])).
1.39/0.58	tff(f304,plain,(
1.39/0.58	  ( ! [X3,X1] : ((sK0 @ X1 @ X3 = $true) | (sK0 @ X3 @ X1 = $false)) ) | ~spl1_20),
1.39/0.58	  inference(avatar_component_clause,[],[f303])).
1.39/0.58	tff(f306,plain,(
1.39/0.58	  spl1_22 <=> ! [X5,X2,X4] : ((sK0 @ X5 @ X4 = $false) | (sK0 @ X5 @ X2 = $false) | (sK0 @ X4 @ X2 = $true))),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_22])])).
1.39/0.58	tff(f307,plain,(
1.39/0.58	  ( ! [X4,X2,X5] : ((sK0 @ X5 @ X4 = $false) | (sK0 @ X5 @ X2 = $false) | (sK0 @ X4 @ X2 = $true)) ) | ~spl1_22),
1.39/0.58	  inference(avatar_component_clause,[],[f306])).
1.39/0.58	tff(f308,plain,(
1.39/0.58	  spl1_20 | spl1_22),
1.39/0.58	  inference(avatar_split_clause,[],[f177,f306,f303])).
1.39/0.58	tff(f310,plain,(
1.39/0.58	  spl1_24 <=> ! [X1,X3,X5] : ((sK0 @ X5 @ X3 = $false) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X5 @ X1 = $true))),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_24])])).
1.39/0.58	tff(f311,plain,(
1.39/0.58	  ( ! [X5,X3,X1] : ((sK0 @ X5 @ X1 = $true) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X5 @ X3 = $false)) ) | ~spl1_24),
1.39/0.58	  inference(avatar_component_clause,[],[f310])).
1.39/0.58	tff(f312,plain,(
1.39/0.58	  spl1_24 | spl1_22),
1.39/0.58	  inference(avatar_split_clause,[],[f165,f306,f310])).
1.39/0.58	tff(f318,plain,(
1.39/0.58	  spl1_28 <=> ! [X2] : (sK0 @ X2 @ X2 = $true)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_28])])).
1.39/0.58	tff(f319,plain,(
1.39/0.58	  ( ! [X2] : ((sK0 @ X2 @ X2 = $true)) ) | ~spl1_28),
1.39/0.58	  inference(avatar_component_clause,[],[f318])).
1.39/0.58	tff(f320,plain,(
1.39/0.58	  spl1_20 | spl1_28),
1.39/0.58	  inference(avatar_split_clause,[],[f140,f318,f303])).
1.39/0.58	tff(f321,plain,(
1.39/0.58	  spl1_24 | spl1_28),
1.39/0.58	  inference(avatar_split_clause,[],[f133,f318,f310])).
1.39/0.58	tff(f323,plain,(
1.39/0.58	  spl1_30 <=> ! [X1] : (sK0 @ X1 @ (sK2 @ X1) = $true)),
1.39/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl1_30])])).
1.39/0.58	tff(f324,plain,(
1.39/0.58	  ( ! [X1] : ((sK0 @ X1 @ (sK2 @ X1) = $true)) ) | ~spl1_30),
1.39/0.58	  inference(avatar_component_clause,[],[f323])).
1.39/0.58	tff(f325,plain,(
1.39/0.58	  spl1_30 | spl1_28),
1.39/0.58	  inference(avatar_split_clause,[],[f123,f318,f323])).
1.39/0.58	tff(f334,plain,(
1.39/0.58	  ($false = $true) | (~spl1_6 | ~spl1_28)),
1.39/0.58	  inference(superposition,[],[f247,f319])).
1.39/0.58	tff(f338,plain,(
1.39/0.58	  $false | (~spl1_6 | ~spl1_28)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f334])).
1.39/0.58	tff(f339,plain,(
1.39/0.58	  ~spl1_6 | ~spl1_28),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f338])).
1.39/0.58	tff(f341,plain,(
1.39/0.58	  ( ! [X0] : (($false = $true) | (sK0 @ sK10 @ X0 = $false) | (sK0 @ sK6 @ X0 = $true)) ) | (~spl1_4 | ~spl1_22)),
1.39/0.58	  inference(superposition,[],[f241,f307])).
1.39/0.58	tff(f344,plain,(
1.39/0.58	  ( ! [X0] : ((sK0 @ sK10 @ X0 = $false) | (sK0 @ sK6 @ X0 = $true)) ) | (~spl1_4 | ~spl1_22)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f341])).
1.39/0.58	tff(f366,plain,(
1.39/0.58	  ($false = $true) | (sK0 @ sK6 @ sK10 = $true) | (~spl1_4 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(superposition,[],[f319,f344])).
1.39/0.58	tff(f369,plain,(
1.39/0.58	  (sK0 @ sK6 @ sK10 = $true) | (~spl1_4 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f366])).
1.39/0.58	tff(f377,plain,(
1.39/0.58	  ($false = $true) | (~spl1_4 | ~spl1_14 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(forward_demodulation,[],[f369,f274])).
1.39/0.58	tff(f378,plain,(
1.39/0.58	  $false | (~spl1_4 | ~spl1_14 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f377])).
1.39/0.58	tff(f379,plain,(
1.39/0.58	  ~spl1_4 | ~spl1_14 | ~spl1_22 | ~spl1_28),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f378])).
1.39/0.58	tff(f382,plain,(
1.39/0.58	  ($false = $true) | (sK0 @ sK10 @ sK6 = $false) | (~spl1_14 | ~spl1_20)),
1.39/0.58	  inference(superposition,[],[f304,f274])).
1.39/0.58	tff(f387,plain,(
1.39/0.58	  (sK0 @ sK10 @ sK6 = $false) | (~spl1_14 | ~spl1_20)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f382])).
1.39/0.58	tff(f388,plain,(
1.39/0.58	  ($false = $true) | (~spl1_4 | ~spl1_14 | ~spl1_20)),
1.39/0.58	  inference(backward_demodulation,[],[f387,f241])).
1.39/0.58	tff(f389,plain,(
1.39/0.58	  $false | (~spl1_4 | ~spl1_14 | ~spl1_20)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f388])).
1.39/0.58	tff(f390,plain,(
1.39/0.58	  ~spl1_4 | ~spl1_14 | ~spl1_20),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f389])).
1.39/0.58	tff(f410,plain,(
1.39/0.58	  ( ! [X6] : (($false = $true) | (sK0 @ X6 @ sK7 = $false) | (sK0 @ sK7 @ X6 = $false)) ) | (~spl1_6 | ~spl1_24)),
1.39/0.58	  inference(superposition,[],[f311,f247])).
1.39/0.58	tff(f416,plain,(
1.39/0.58	  ( ! [X6] : ((sK0 @ X6 @ sK7 = $false) | (sK0 @ sK7 @ X6 = $false)) ) | (~spl1_6 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f410])).
1.39/0.58	tff(f418,plain,(
1.39/0.58	  ( ! [X3] : (($false = $true) | (sK0 @ sK7 @ X3 = $false) | (sK0 @ sK7 @ X3 = $false)) ) | (~spl1_6 | ~spl1_20 | ~spl1_24)),
1.39/0.58	  inference(superposition,[],[f416,f304])).
1.39/0.58	tff(f426,plain,(
1.39/0.58	  ( ! [X3] : (($false = $true) | (sK0 @ sK7 @ X3 = $false)) ) | (~spl1_6 | ~spl1_20 | ~spl1_24)),
1.39/0.58	  inference(duplicate_literal_removal,[],[f418])).
1.39/0.58	tff(f427,plain,(
1.39/0.58	  ( ! [X3] : ((sK0 @ sK7 @ X3 = $false)) ) | (~spl1_6 | ~spl1_20 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f426])).
1.39/0.58	tff(f432,plain,(
1.39/0.58	  ($false = $true) | (~spl1_6 | ~spl1_20 | ~spl1_24 | ~spl1_30)),
1.39/0.58	  inference(superposition,[],[f427,f324])).
1.39/0.58	tff(f443,plain,(
1.39/0.58	  $false | (~spl1_6 | ~spl1_20 | ~spl1_24 | ~spl1_30)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f432])).
1.39/0.58	tff(f444,plain,(
1.39/0.58	  ~spl1_6 | ~spl1_20 | ~spl1_24 | ~spl1_30),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f443])).
1.39/0.58	tff(f449,plain,(
1.39/0.58	  ( ! [X0] : (($false = $true) | (sK0 @ X0 @ sK5 = $false) | (sK0 @ sK12 @ X0 = $false)) ) | (~spl1_12 | ~spl1_24)),
1.39/0.58	  inference(superposition,[],[f267,f311])).
1.39/0.58	tff(f456,plain,(
1.39/0.58	  ( ! [X0] : ((sK0 @ X0 @ sK5 = $false) | (sK0 @ sK12 @ X0 = $false)) ) | (~spl1_12 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f449])).
1.39/0.58	tff(f472,plain,(
1.39/0.58	  ($false = $true) | (sK0 @ sK12 @ sK9 = $false) | (~spl1_10 | ~spl1_12 | ~spl1_24)),
1.39/0.58	  inference(superposition,[],[f456,f260])).
1.39/0.58	tff(f479,plain,(
1.39/0.58	  (sK0 @ sK12 @ sK9 = $false) | (~spl1_10 | ~spl1_12 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f472])).
1.39/0.58	tff(f482,plain,(
1.39/0.58	  ($false = $true) | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_24)),
1.39/0.58	  inference(backward_demodulation,[],[f479,f235])).
1.39/0.58	tff(f483,plain,(
1.39/0.58	  $false | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f482])).
1.39/0.58	tff(f484,plain,(
1.39/0.58	  ~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_24),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f483])).
1.39/0.58	tff(f491,plain,(
1.39/0.58	  ( ! [X0] : (($false = $true) | (sK0 @ X0 @ sK8 = $false) | (sK0 @ sK11 @ X0 = $false)) ) | (~spl1_18 | ~spl1_24)),
1.39/0.58	  inference(superposition,[],[f295,f311])).
1.39/0.58	tff(f498,plain,(
1.39/0.58	  ( ! [X0] : ((sK0 @ X0 @ sK8 = $false) | (sK0 @ sK11 @ X0 = $false)) ) | (~spl1_18 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f491])).
1.39/0.58	tff(f528,plain,(
1.39/0.58	  ($false = $true) | (sK0 @ sK11 @ sK13 = $false) | (~spl1_16 | ~spl1_18 | ~spl1_24)),
1.39/0.58	  inference(superposition,[],[f498,f283])).
1.39/0.58	tff(f535,plain,(
1.39/0.58	  (sK0 @ sK11 @ sK13 = $false) | (~spl1_16 | ~spl1_18 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f528])).
1.39/0.58	tff(f539,plain,(
1.39/0.58	  ($false = $true) | (sK0 @ sK13 @ sK11 = $false) | (~spl1_16 | ~spl1_18 | ~spl1_20 | ~spl1_24)),
1.39/0.58	  inference(superposition,[],[f535,f304])).
1.39/0.58	tff(f544,plain,(
1.39/0.58	  (sK0 @ sK13 @ sK11 = $false) | (~spl1_16 | ~spl1_18 | ~spl1_20 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f539])).
1.39/0.58	tff(f546,plain,(
1.39/0.58	  ($false = $true) | (~spl1_8 | ~spl1_16 | ~spl1_18 | ~spl1_20 | ~spl1_24)),
1.39/0.58	  inference(backward_demodulation,[],[f544,f253])).
1.39/0.58	tff(f547,plain,(
1.39/0.58	  $false | (~spl1_8 | ~spl1_16 | ~spl1_18 | ~spl1_20 | ~spl1_24)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f546])).
1.39/0.58	tff(f548,plain,(
1.39/0.58	  ~spl1_8 | ~spl1_16 | ~spl1_18 | ~spl1_20 | ~spl1_24),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f547])).
1.39/0.58	tff(f563,plain,(
1.39/0.58	  ( ! [X11] : (($false = $true) | (sK0 @ sK12 @ X11 = $false) | (sK0 @ sK9 @ X11 = $true)) ) | (~spl1_2 | ~spl1_22)),
1.39/0.58	  inference(superposition,[],[f307,f235])).
1.39/0.58	tff(f565,plain,(
1.39/0.58	  ( ! [X13] : (($false = $true) | (sK0 @ sK13 @ X13 = $false) | (sK0 @ sK11 @ X13 = $true)) ) | (~spl1_8 | ~spl1_22)),
1.39/0.58	  inference(superposition,[],[f307,f253])).
1.39/0.58	tff(f585,plain,(
1.39/0.58	  ( ! [X13] : ((sK0 @ sK11 @ X13 = $true) | (sK0 @ sK13 @ X13 = $false)) ) | (~spl1_8 | ~spl1_22)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f565])).
1.39/0.58	tff(f627,plain,(
1.39/0.58	  ($false = $true) | (sK0 @ sK13 @ sK8 = $false) | (~spl1_8 | ~spl1_18 | ~spl1_22)),
1.39/0.58	  inference(superposition,[],[f585,f295])).
1.39/0.58	tff(f634,plain,(
1.39/0.58	  (sK0 @ sK13 @ sK8 = $false) | (~spl1_8 | ~spl1_18 | ~spl1_22)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f627])).
1.39/0.58	tff(f635,plain,(
1.39/0.58	  ($false = $true) | (~spl1_8 | ~spl1_16 | ~spl1_18 | ~spl1_22)),
1.39/0.58	  inference(backward_demodulation,[],[f634,f283])).
1.39/0.58	tff(f636,plain,(
1.39/0.58	  $false | (~spl1_8 | ~spl1_16 | ~spl1_18 | ~spl1_22)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f635])).
1.39/0.58	tff(f637,plain,(
1.39/0.58	  ~spl1_8 | ~spl1_16 | ~spl1_18 | ~spl1_22),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f636])).
1.39/0.58	tff(f646,plain,(
1.39/0.58	  ($false = $true) | (~spl1_0 | ~spl1_30)),
1.39/0.58	  inference(superposition,[],[f229,f324])).
1.39/0.58	tff(f647,plain,(
1.39/0.58	  ($false = $true) | (~spl1_0 | ~spl1_28)),
1.39/0.58	  inference(superposition,[],[f229,f319])).
1.39/0.58	tff(f659,plain,(
1.39/0.58	  $false | (~spl1_0 | ~spl1_28)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f647])).
1.39/0.58	tff(f660,plain,(
1.39/0.58	  ~spl1_0 | ~spl1_28),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f659])).
1.39/0.58	tff(f661,plain,(
1.39/0.58	  $false | (~spl1_0 | ~spl1_30)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f646])).
1.39/0.58	tff(f662,plain,(
1.39/0.58	  ~spl1_0 | ~spl1_30),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f661])).
1.39/0.58	tff(f667,plain,(
1.39/0.58	  ( ! [X11] : ((sK0 @ sK9 @ X11 = $true) | (sK0 @ sK12 @ X11 = $false)) ) | (~spl1_2 | ~spl1_22)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f563])).
1.39/0.58	tff(f727,plain,(
1.39/0.58	  ( ! [X2,X3] : (($false = $true) | (sK0 @ sK12 @ X2 = $false) | (sK0 @ sK9 @ X3 = $false) | (sK0 @ X2 @ X3 = $true)) ) | (~spl1_2 | ~spl1_22)),
1.39/0.58	  inference(superposition,[],[f667,f307])).
1.39/0.58	tff(f730,plain,(
1.39/0.58	  ( ! [X2,X3] : ((sK0 @ sK12 @ X2 = $false) | (sK0 @ sK9 @ X3 = $false) | (sK0 @ X2 @ X3 = $true)) ) | (~spl1_2 | ~spl1_22)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f727])).
1.39/0.58	tff(f840,plain,(
1.39/0.58	  ( ! [X5] : (($false = $true) | (sK0 @ sK9 @ X5 = $false) | (sK0 @ sK12 @ X5 = $true)) ) | (~spl1_2 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(superposition,[],[f730,f319])).
1.39/0.58	tff(f848,plain,(
1.39/0.58	  ( ! [X5] : ((sK0 @ sK9 @ X5 = $false) | (sK0 @ sK12 @ X5 = $true)) ) | (~spl1_2 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f840])).
1.39/0.58	tff(f855,plain,(
1.39/0.58	  ($false = $true) | (sK0 @ sK12 @ sK5 = $true) | (~spl1_2 | ~spl1_10 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(superposition,[],[f260,f848])).
1.39/0.58	tff(f862,plain,(
1.39/0.58	  (sK0 @ sK12 @ sK5 = $true) | (~spl1_2 | ~spl1_10 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f855])).
1.39/0.58	tff(f870,plain,(
1.39/0.58	  ($false = $true) | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(forward_demodulation,[],[f862,f267])).
1.39/0.58	tff(f871,plain,(
1.39/0.58	  $false | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_22 | ~spl1_28)),
1.39/0.58	  inference(trivial_inequality_removal,[],[f870])).
1.39/0.58	tff(f872,plain,(
1.39/0.58	  ~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_22 | ~spl1_28),
1.39/0.58	  inference(avatar_contradiction_clause,[],[f871])).
1.39/0.58	tff(f873,plain,(
1.39/0.58	  $false),
1.39/0.58	  inference(avatar_sat_refutation,[],[f254,f261,f268,f275,f276,f277,f284,f285,f286,f287,f288,f289,f296,f297,f298,f299,f300,f301,f308,f312,f320,f321,f325,f339,f379,f390,f444,f484,f548,f637,f660,f662,f872])).
1.39/0.58	% SZS output end Proof for theBenchmark
1.39/0.58	% (32090)------------------------------
1.39/0.58	% (32090)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
1.39/0.58	% (32090)Termination reason: Refutation
1.39/0.58	
1.39/0.58	% (32090)Memory used [KB]: 10490
1.39/0.58	% (32090)Time elapsed: 0.169 s
1.39/0.58	% (32090)------------------------------
1.39/0.58	% (32090)------------------------------
1.39/0.58	% (32087)Success in time 0.234 s
1.39/0.59	EOF