0.08/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.10	% Command    : run_vampire %s %d
0.10/0.30	% Computer   : n009.cluster.edu
0.10/0.30	% Model      : x86_64 x86_64
0.10/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.30	% Memory     : 8042.1875MB
0.10/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.30	% CPULimit   : 960
0.10/0.30	% WCLimit    : 120
0.10/0.30	% DateTime   : Thu Jul  2 06:59:21 EDT 2020
0.10/0.31	% CPUTime    : 
0.16/0.33	% (21016)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
0.16/0.35	% (21034)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
0.16/0.35	% (21033)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
0.16/0.35	% (21012)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
0.16/0.35	% (21017)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
0.16/0.36	% (21015)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
0.16/0.36	% (21026)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
0.16/0.36	% (21013)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
0.16/0.36	% (21019)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
0.16/0.36	% (21020)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
0.16/0.36	% (21014)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
0.16/0.36	% (21023)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
0.16/0.36	% (21021)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
0.16/0.36	% (21022)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
0.16/0.36	% (21025)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
0.16/0.37	% (21018)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
0.16/0.37	% (21035)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
0.16/0.37	% (21011)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
0.16/0.37	% (21037)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
0.16/0.37	% (21039)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
0.16/0.37	% (21031)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
0.16/0.38	% (21038)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
0.16/0.38	% (21040)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
0.16/0.38	% (21036)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
0.16/0.38	% (21027)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
0.16/0.38	% (21032)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
0.16/0.38	% (21029)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
0.16/0.38	% (21030)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
0.16/0.38	% (21024)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
0.16/0.40	% (21028)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
0.16/0.47	% (21034)Refutation found. Thanks to Tanya!
0.16/0.47	% SZS status Theorem for theBenchmark
0.16/0.47	% SZS output start Proof for theBenchmark
0.16/0.47	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
0.16/0.47	tff(func_def_4, type, subrel: ('$i' -> '$i' -> '$o') -> ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.16/0.47	tff(func_def_6, type, inv: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_7, type, idem: (('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_8, type, infl: (('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_9, type, mono: (('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_10, type, refl: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_11, type, irrefl: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_12, type, rc: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_13, type, symm: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_14, type, antisymm: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_15, type, asymm: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_16, type, sc: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_17, type, trans: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_18, type, tc: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_19, type, trc: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_20, type, trsc: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_21, type, po: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_22, type, so: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_23, type, total: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_24, type, term: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_25, type, ind: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_26, type, innf: ('$i' -> '$i' -> '$o') -> '$i' -> '$o').
0.16/0.47	tff(func_def_27, type, nfof: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_28, type, norm: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_29, type, join: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_30, type, lconfl: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_31, type, sconfl: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_32, type, confl: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_33, type, cr: ('$i' -> '$i' -> '$o') -> '$o').
0.16/0.47	tff(func_def_34, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.16/0.47	tff(func_def_37, type, vAND: '$o' -> '$o' -> '$o').
0.16/0.47	tff(func_def_38, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.16/0.47	tff(func_def_39, type, vNOT: '$o' -> '$o').
0.16/0.47	tff(func_def_40, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.16/0.47	tff(func_def_41, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.16/0.47	tff(func_def_42, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
0.16/0.47	tff(func_def_43, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.16/0.47	tff(func_def_44, type, vIMP: '$o' -> '$o' -> '$o').
0.16/0.47	tff(func_def_45, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.16/0.47	tff(func_def_46, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
0.16/0.47	tff(func_def_47, type, vOR: '$o' -> '$o' -> '$o').
0.16/0.47	tff(func_def_48, type, sK0: '$i' -> '$i' -> '$o').
0.16/0.47	tff(func_def_50, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.16/0.47	tff(f10,axiom,(
0.16/0.47	  antisymm = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X2,X3] : ((X0 @ X3 @ X2 & X0 @ X2 @ X3) => X2 = X3))),
0.16/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetric)).
0.16/0.47	tff(f11,axiom,(
0.16/0.47	  asymm = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X2,X3] : (X0 @ X2 @ X3 => ~X0 @ X3 @ X2))),
0.16/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asymmetric)).
0.16/0.47	tff(f13,axiom,(
0.16/0.47	  trans = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X2,X3,X5] : ((X0 @ X3 @ X5 & X0 @ X2 @ X3) => X0 @ X2 @ X5))),
0.16/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive)).
0.16/0.47	tff(f17,axiom,(
0.16/0.47	  po = (^[X0 : '$i' -> '$i' -> '$o'] : trans @ X0 & antisymm @ X0 & refl @ X0)),
0.16/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order)).
0.16/0.47	tff(f18,axiom,(
0.16/0.47	  so = (^[X0 : '$i' -> '$i' -> '$o'] : trans @ X0 & asymm @ X0)),
0.16/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strict_order)).
0.16/0.47	tff(f30,conjecture,(
0.16/0.47	  ! [X0 : '$i' -> '$i' -> '$o'] : (po @ X0 => so @ (^[X2 : '$i', X3 : '$i'] : X0 @ X2 @ X3 & X2 != X3))),
0.16/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order_induces_strict_order)).
0.16/0.47	tff(f31,negated_conjecture,(
0.16/0.47	  ~! [X0 : '$i' -> '$i' -> '$o'] : (po @ X0 => so @ (^[X2 : '$i', X3 : '$i'] : X0 @ X2 @ X3 & X2 != X3))),
0.16/0.47	  inference(negated_conjecture,[],[f30])).
0.16/0.47	tff(f32,plain,(
0.16/0.47	  ~! [X0 : '$i' -> '$i' -> '$o'] : (po @ X0 => so @ (^[X1 : '$i', X2 : '$i'] : X0 @ X1 @ X2 & X1 != X2))),
0.16/0.47	  inference(rectify,[],[f31])).
0.16/0.47	tff(f33,plain,(
0.16/0.47	  ~! [X0 : '$i' -> '$i' -> '$o'] : ((po @ X0 = $true) => (so @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ X0) = $true))),
0.16/0.47	  inference(fool_elimination,[],[f32])).
0.16/0.47	tff(f63,plain,(
0.16/0.47	  po = (^[X0 : '$i' -> '$i' -> '$o'] : trans @ X0 & antisymm @ X0 & refl @ X0)),
0.16/0.47	  inference(rectify,[],[f17])).
0.16/0.47	tff(f64,plain,(
0.16/0.47	  sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ refl) @ antisymm)) @ trans = po),
0.16/0.47	  inference(fool_elimination,[],[f63])).
0.16/0.47	tff(f65,plain,(
0.16/0.47	  so = (^[X0 : '$i' -> '$i' -> '$o'] : trans @ X0 & asymm @ X0)),
0.16/0.47	  inference(rectify,[],[f18])).
0.16/0.47	tff(f66,plain,(
0.16/0.47	  sCOMB @ (bCOMB @ vAND @ asymm) @ trans = so),
0.16/0.47	  inference(fool_elimination,[],[f65])).
0.16/0.47	tff(f69,plain,(
0.16/0.47	  antisymm = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2] : ((X0 @ X2 @ X1 & X0 @ X1 @ X2) => X1 = X2))),
0.16/0.47	  inference(rectify,[],[f10])).
0.16/0.48	tff(f70,plain,(
0.16/0.48	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB))) @ iCOMB)))) @ (cCOMB @ vEQ('$i')))) = antisymm),
0.16/0.48	  inference(fool_elimination,[],[f69])).
0.16/0.48	tff(f71,plain,(
0.16/0.48	  asymm = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2] : (X0 @ X1 @ X2 => ~X0 @ X2 @ X1))),
0.16/0.48	  inference(rectify,[],[f11])).
0.16/0.48	tff(f72,plain,(
0.16/0.48	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (bCOMB @ (bCOMB @ vNOT)))) = asymm),
0.16/0.48	  inference(fool_elimination,[],[f71])).
0.16/0.48	tff(f81,plain,(
0.16/0.48	  trans = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2,X3] : ((X0 @ X2 @ X3 & X0 @ X1 @ X2) => X0 @ X1 @ X3))),
0.16/0.48	  inference(rectify,[],[f13])).
0.16/0.48	tff(f82,plain,(
0.16/0.48	  bCOMB @ vPI('$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))) = trans),
0.16/0.48	  inference(fool_elimination,[],[f81])).
0.16/0.48	tff(f90,plain,(
0.16/0.48	  ? [X0 : '$i' -> '$i' -> '$o'] : ((so @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ X0) != $true) & (po @ X0 = $true))),
0.16/0.48	  inference(ennf_transformation,[],[f33])).
0.16/0.48	tff(f91,plain,(
0.16/0.48	  ? [X0 : '$i' -> '$i' -> '$o'] : ((so @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ X0) != $true) & (po @ X0 = $true)) => ((so @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) != $true) & (po @ sK0 = $true))),
0.16/0.48	  introduced(choice_axiom,[])).
0.16/0.48	tff(f92,plain,(
0.16/0.48	  (so @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) != $true) & (po @ sK0 = $true)),
0.16/0.48	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f90,f91])).
0.16/0.48	tff(f93,plain,(
0.16/0.48	  (po @ sK0 = $true)),
0.16/0.48	  inference(cnf_transformation,[],[f92])).
0.16/0.48	tff(f94,plain,(
0.16/0.48	  (so @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) != $true)),
0.16/0.48	  inference(cnf_transformation,[],[f92])).
0.16/0.48	tff(f96,plain,(
0.16/0.48	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB))) @ iCOMB)))) @ (cCOMB @ vEQ('$i')))) = antisymm),
0.16/0.48	  inference(cnf_transformation,[],[f70])).
0.16/0.48	tff(f100,plain,(
0.16/0.48	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (bCOMB @ (bCOMB @ vNOT)))) = asymm),
0.16/0.48	  inference(cnf_transformation,[],[f72])).
0.16/0.48	tff(f105,plain,(
0.16/0.48	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = trans),
0.16/0.48	  inference(cnf_transformation,[],[f82])).
0.16/0.48	tff(f106,plain,(
0.16/0.48	  sCOMB @ (bCOMB @ vAND @ asymm) @ trans = so),
0.16/0.48	  inference(cnf_transformation,[],[f66])).
0.16/0.48	tff(f107,plain,(
0.16/0.48	  sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ refl) @ antisymm)) @ trans = po),
0.16/0.48	  inference(cnf_transformation,[],[f64])).
0.16/0.48	tff(f109,plain,(
0.16/0.48	  sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ refl) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB))) @ iCOMB)))) @ (cCOMB @ vEQ('$i'))))))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB)))) = po),
0.16/0.48	  inference(definition_unfolding,[],[f107,f96,f105])).
0.16/0.49	tff(f110,plain,(
0.16/0.49	  sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (bCOMB @ (bCOMB @ vNOT)))))) @ (bCOMB @ vPI('$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)))) = so),
0.16/0.49	  inference(definition_unfolding,[],[f106,f100,f105])).
0.16/0.49	tff(f111,plain,(
0.16/0.49	  (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (bCOMB @ (bCOMB @ vNOT)))))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) != $true)),
0.16/0.49	  inference(definition_unfolding,[],[f94,f110])).
0.16/0.49	tff(f112,plain,(
0.16/0.49	  (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ refl) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB))) @ iCOMB)))) @ (cCOMB @ vEQ('$i'))))))) @ (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 = $true)),
0.16/0.49	  inference(definition_unfolding,[],[f93,f109])).
0.16/0.49	tff(f113,plain,(
0.16/0.49	  (vAND @ (vAND @ (refl @ sK0) @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ sK0))) @ (cCOMB @ vEQ('$i')))))) @ (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))))) = $true)),
0.16/0.49	  inference(combinator_demodulation,[],[f112])).
0.16/0.49	tff(f114,plain,(
0.16/0.49	  (vAND @ (refl @ sK0) @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ sK0))) @ (cCOMB @ vEQ('$i'))))) = $true)),
0.16/0.49	  inference(binary_proxy_clausification,[],[f113])).
0.16/0.49	tff(f115,plain,(
0.16/0.49	  (vPI('$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)))) = $true)),
0.16/0.49	  inference(binary_proxy_clausification,[],[f113])).
0.16/0.49	% (21014)Refutation not found, incomplete strategy
0.16/0.49	% (21014)------------------------------
0.16/0.49	% (21014)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.16/0.49	% (21014)Termination reason: Refutation not found, incomplete strategy
0.16/0.49	
0.16/0.49	% (21014)Memory used [KB]: 10234
0.16/0.49	% (21014)Time elapsed: 0.165 s
0.16/0.49	% (21014)------------------------------
0.16/0.49	% (21014)------------------------------
0.16/0.50	tff(f116,plain,(
0.16/0.50	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0)))) @ (cCOMB @ sK0))))) @ (cCOMB @ sK0))) @ X1 = $true)) )),
0.16/0.50	  inference(pi_clausification,[],[f115])).
0.16/0.50	tff(f117,plain,(
0.16/0.50	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X1)))) @ (cCOMB @ sK0 @ X1))) = $true)) )),
0.16/0.50	  inference(combinator_demodulation,[],[f116])).
0.16/0.50	tff(f118,plain,(
0.16/0.50	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ X1)))) @ (cCOMB @ sK0 @ X1)) @ X2 = $true)) )),
0.16/0.50	  inference(pi_clausification,[],[f117])).
0.16/0.50	tff(f119,plain,(
0.16/0.50	  ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X2)) @ (sK0 @ X2 @ X1))) @ (cCOMB @ sK0 @ X1)) = $true)) )),
0.16/0.50	  inference(combinator_demodulation,[],[f118])).
0.16/0.50	tff(f120,plain,(
0.16/0.50	  ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X2)) @ (sK0 @ X2 @ X1))) @ (cCOMB @ sK0 @ X1) @ X3 = $true)) )),
0.16/0.50	  inference(pi_clausification,[],[f119])).
0.16/0.50	tff(f121,plain,(
0.16/0.50	  ( ! [X2,X3,X1] : ((vIMP @ (vAND @ (sK0 @ X3 @ X2) @ (sK0 @ X2 @ X1)) @ (sK0 @ X3 @ X1) = $true)) )),
0.16/0.50	  inference(combinator_demodulation,[],[f120])).
0.16/0.50	tff(f122,plain,(
0.16/0.50	  ( ! [X2,X3,X1] : ((vAND @ (sK0 @ X3 @ X2) @ (sK0 @ X2 @ X1) = $false) | (sK0 @ X3 @ X1 = $true)) )),
0.16/0.50	  inference(binary_proxy_clausification,[],[f121])).
0.16/0.50	tff(f123,plain,(
0.16/0.50	  ( ! [X2,X3,X1] : ((sK0 @ X3 @ X2 = $false) | (sK0 @ X3 @ X1 = $true) | (sK0 @ X2 @ X1 = $false)) )),
0.16/0.50	  inference(binary_proxy_clausification,[],[f122])).
0.16/0.50	tff(f125,plain,(
0.16/0.50	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ sK0))) @ (cCOMB @ vEQ('$i')))) = $true)),
0.16/0.50	  inference(binary_proxy_clausification,[],[f114])).
0.16/0.50	tff(f126,plain,(
0.16/0.50	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ sK0))) @ (cCOMB @ vEQ('$i'))) @ X1 = $true)) )),
0.16/0.50	  inference(pi_clausification,[],[f125])).
0.16/0.50	tff(f127,plain,(
0.16/0.50	  ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X1)) @ (sK0 @ X1))) @ (cCOMB @ vEQ('$i') @ X1)) = $true)) )),
0.16/0.50	  inference(combinator_demodulation,[],[f126])).
0.16/0.50	tff(f128,plain,(
0.16/0.50	  ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ X1)) @ (sK0 @ X1))) @ (cCOMB @ vEQ('$i') @ X1) @ X2 = $true)) )),
0.16/0.50	  inference(pi_clausification,[],[f127])).
0.16/0.50	tff(f129,plain,(
0.16/0.50	  ( ! [X2,X1] : ((vIMP @ (vAND @ (sK0 @ X2 @ X1) @ (sK0 @ X1 @ X2)) @ (vEQ('$i') @ X2 @ X1) = $true)) )),
0.16/0.50	  inference(combinator_demodulation,[],[f128])).
0.16/0.50	tff(f130,plain,(
0.16/0.50	  ( ! [X2,X1] : ((vAND @ (sK0 @ X2 @ X1) @ (sK0 @ X1 @ X2) = $false) | (vEQ('$i') @ X2 @ X1 = $true)) )),
0.16/0.50	  inference(binary_proxy_clausification,[],[f129])).
0.16/0.50	tff(f131,plain,(
0.16/0.50	  ( ! [X2,X1] : ((vAND @ (sK0 @ X2 @ X1) @ (sK0 @ X1 @ X2) = $false) | X1 = X2) )),
0.16/0.50	  inference(equality_proxy_clausification,[],[f130])).
0.16/0.50	tff(f132,plain,(
0.16/0.50	  ( ! [X2,X1] : ((sK0 @ X2 @ X1 = $false) | X1 = X2 | (sK0 @ X1 @ X2 = $false)) )),
0.16/0.50	  inference(binary_proxy_clausification,[],[f131])).
0.16/0.50	tff(f133,plain,(
0.16/0.50	  (vAND @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ (bCOMB @ (bCOMB @ vNOT) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0))))) @ (vPI('$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 @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))))) != $true)),
0.16/0.50	  inference(combinator_demodulation,[],[f111])).
0.16/0.50	tff(f134,plain,(
0.16/0.50	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ (bCOMB @ (bCOMB @ vNOT) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) = $false) | (vPI('$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 @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0))))) = $false)),
0.16/0.50	  inference(binary_proxy_clausification,[],[f133])).
0.16/0.50	tff(f135,plain,(
0.16/0.50	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ (bCOMB @ (bCOMB @ vNOT) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) = $false) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ sK2 = $false)),
0.16/0.50	  inference(sigma_clausification,[],[f134])).
0.16/0.50	tff(f136,plain,(
0.16/0.50	  (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ (bCOMB @ (bCOMB @ vNOT) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0))) @ sK3 = $false) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ sK2 = $false)),
0.16/0.50	  inference(sigma_clausification,[],[f135])).
0.16/0.51	tff(f137,plain,(
0.16/0.51	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK3)) @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vNOT @ (vEQ('$i') @ sK3))) @ (sK0 @ sK3)))) = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2))) = $false)),
0.16/0.51	  inference(combinator_demodulation,[],[f136])).
0.16/0.51	tff(f138,plain,(
0.16/0.51	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK3)) @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vNOT @ (vEQ('$i') @ sK3))) @ (sK0 @ sK3)))) = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2)) @ sK4 = $false)),
0.16/0.51	  inference(sigma_clausification,[],[f137])).
0.16/0.51	tff(f139,plain,(
0.16/0.51	  (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK3)) @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vAND @ (bCOMB @ vNOT @ (vEQ('$i') @ sK3))) @ (sK0 @ sK3))) @ sK5 = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2)) @ sK4 = $false)),
0.16/0.51	  inference(sigma_clausification,[],[f138])).
0.16/0.51	tff(f140,plain,(
0.16/0.51	  (vIMP @ (vAND @ (vNOT @ (vEQ('$i') @ sK5 @ sK3)) @ (sK0 @ sK5 @ sK3)) @ (vNOT @ (vAND @ (vNOT @ (vEQ('$i') @ sK3 @ sK5)) @ (sK0 @ sK3 @ sK5))) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2)) = $false)),
0.16/0.51	  inference(combinator_demodulation,[],[f139])).
0.16/0.51	tff(f141,plain,(
0.16/0.51	  (vIMP @ (vAND @ (vNOT @ (vEQ('$i') @ sK5 @ sK3)) @ (sK0 @ sK5 @ sK3)) @ (vNOT @ (vAND @ (vNOT @ (vEQ('$i') @ sK3 @ sK5)) @ (sK0 @ sK3 @ sK5))) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))) @ sK0) @ sK2) @ sK6 = $false)),
0.16/0.51	  inference(sigma_clausification,[],[f140])).
0.16/0.51	tff(f142,plain,(
0.16/0.51	  (vIMP @ (vAND @ (vNOT @ (vEQ('$i') @ sK5 @ sK3)) @ (sK0 @ sK5 @ sK3)) @ (vNOT @ (vAND @ (vNOT @ (vEQ('$i') @ sK3 @ sK5)) @ (sK0 @ sK3 @ sK5))) = $false) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(combinator_demodulation,[],[f141])).
0.16/0.51	tff(f143,plain,(
0.16/0.51	  (vAND @ (vNOT @ (vEQ('$i') @ sK5 @ sK3)) @ (sK0 @ sK5 @ sK3) = $true) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f142])).
0.16/0.51	tff(f144,plain,(
0.16/0.51	  (vNOT @ (vAND @ (vNOT @ (vEQ('$i') @ sK3 @ sK5)) @ (sK0 @ sK3 @ sK5)) = $false) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f142])).
0.16/0.51	tff(f145,plain,(
0.16/0.51	  (vAND @ (vNOT @ (vEQ('$i') @ sK3 @ sK5)) @ (sK0 @ sK3 @ sK5) = $true) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(not_proxy_clausification,[],[f144])).
0.16/0.51	tff(f146,plain,(
0.16/0.51	  (vNOT @ (vEQ('$i') @ sK3 @ sK5) = $true) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f145])).
0.16/0.51	tff(f147,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f145])).
0.16/0.51	tff(f148,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2)) = $true)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f147])).
0.16/0.51	tff(f149,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2) = $false)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f147])).
0.16/0.51	tff(f150,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vNOT @ (vEQ('$i') @ sK6 @ sK2) = $false) | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f149])).
0.16/0.51	tff(f151,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vEQ('$i') @ sK6 @ sK2 = $true) | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.51	  inference(not_proxy_clausification,[],[f150])).
0.16/0.51	tff(f152,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | sK2 = sK6 | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.51	  inference(equality_proxy_clausification,[],[f151])).
0.16/0.51	tff(f153,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4) = $true)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f148])).
0.16/0.51	tff(f154,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2) = $true)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f148])).
0.16/0.51	tff(f155,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vNOT @ (vEQ('$i') @ sK4 @ sK2) = $true)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f154])).
0.16/0.51	tff(f156,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (sK0 @ sK4 @ sK2 = $true)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f154])).
0.16/0.51	tff(f157,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (vEQ('$i') @ sK4 @ sK2 = $false)),
0.16/0.51	  inference(not_proxy_clausification,[],[f155])).
0.16/0.51	tff(f158,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | sK2 != sK4),
0.16/0.51	  inference(equality_proxy_clausification,[],[f157])).
0.16/0.51	tff(f160,plain,(
0.16/0.51	  (sK0 @ sK3 @ sK5 = $true) | (sK0 @ sK6 @ sK4 = $true)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f153])).
0.16/0.51	tff(f163,plain,(
0.16/0.51	  (vEQ('$i') @ sK3 @ sK5 = $false) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(not_proxy_clausification,[],[f146])).
0.16/0.51	tff(f164,plain,(
0.16/0.51	  sK3 != sK5 | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.51	  inference(equality_proxy_clausification,[],[f163])).
0.16/0.51	tff(f165,plain,(
0.16/0.51	  sK3 != sK5 | (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2)) = $true)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f164])).
0.16/0.51	tff(f166,plain,(
0.16/0.51	  sK3 != sK5 | (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2) = $false)),
0.16/0.51	  inference(binary_proxy_clausification,[],[f164])).
0.16/0.52	tff(f167,plain,(
0.16/0.52	  sK3 != sK5 | (vNOT @ (vEQ('$i') @ sK6 @ sK2) = $false) | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f166])).
0.16/0.52	tff(f168,plain,(
0.16/0.52	  sK3 != sK5 | (vEQ('$i') @ sK6 @ sK2 = $true) | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.52	  inference(not_proxy_clausification,[],[f167])).
0.16/0.52	tff(f169,plain,(
0.16/0.52	  sK3 != sK5 | sK2 = sK6 | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.52	  inference(equality_proxy_clausification,[],[f168])).
0.16/0.52	tff(f170,plain,(
0.16/0.52	  sK3 != sK5 | (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4) = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f165])).
0.16/0.52	tff(f171,plain,(
0.16/0.52	  sK3 != sK5 | (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2) = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f165])).
0.16/0.52	tff(f172,plain,(
0.16/0.52	  sK3 != sK5 | (vNOT @ (vEQ('$i') @ sK4 @ sK2) = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f171])).
0.16/0.52	tff(f173,plain,(
0.16/0.52	  sK3 != sK5 | (sK0 @ sK4 @ sK2 = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f171])).
0.16/0.52	tff(f174,plain,(
0.16/0.52	  sK3 != sK5 | (vEQ('$i') @ sK4 @ sK2 = $false)),
0.16/0.52	  inference(not_proxy_clausification,[],[f172])).
0.16/0.52	tff(f175,plain,(
0.16/0.52	  sK3 != sK5 | sK2 != sK4),
0.16/0.52	  inference(equality_proxy_clausification,[],[f174])).
0.16/0.52	tff(f177,plain,(
0.16/0.52	  sK3 != sK5 | (sK0 @ sK6 @ sK4 = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f170])).
0.16/0.52	tff(f181,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vIMP @ (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2))) @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2)) = $false)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f143])).
0.16/0.52	tff(f182,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vAND @ (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4)) @ (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2)) = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f181])).
0.16/0.52	tff(f183,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK2)) @ (sK0 @ sK6 @ sK2) = $false)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f181])).
0.16/0.52	tff(f184,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vNOT @ (vEQ('$i') @ sK6 @ sK2) = $false) | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f183])).
0.16/0.52	tff(f185,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vEQ('$i') @ sK6 @ sK2 = $true) | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.52	  inference(not_proxy_clausification,[],[f184])).
0.16/0.52	tff(f186,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | sK2 = sK6 | (sK0 @ sK6 @ sK2 = $false)),
0.16/0.52	  inference(equality_proxy_clausification,[],[f185])).
0.16/0.52	tff(f187,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vAND @ (vNOT @ (vEQ('$i') @ sK6 @ sK4)) @ (sK0 @ sK6 @ sK4) = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f182])).
0.16/0.52	tff(f188,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vAND @ (vNOT @ (vEQ('$i') @ sK4 @ sK2)) @ (sK0 @ sK4 @ sK2) = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f182])).
0.16/0.52	tff(f189,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vNOT @ (vEQ('$i') @ sK4 @ sK2) = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f188])).
0.16/0.52	tff(f190,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (sK0 @ sK4 @ sK2 = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f188])).
0.16/0.52	tff(f191,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (vEQ('$i') @ sK4 @ sK2 = $false)),
0.16/0.52	  inference(not_proxy_clausification,[],[f189])).
0.16/0.52	tff(f192,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | sK2 != sK4),
0.16/0.52	  inference(equality_proxy_clausification,[],[f191])).
0.16/0.52	tff(f194,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | (sK0 @ sK6 @ sK4 = $true)),
0.16/0.52	  inference(binary_proxy_clausification,[],[f187])).
0.16/0.52	tff(f221,plain,(
0.16/0.52	  spl1_2 <=> sK3 = sK5),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.16/0.52	tff(f224,plain,(
0.16/0.52	  spl1_3 <=> sK3 != sK5),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.16/0.52	tff(f231,plain,(
0.16/0.52	  spl1_4 <=> (sK0 @ sK6 @ sK4 = $true)),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.16/0.52	tff(f232,plain,(
0.16/0.52	  (sK0 @ sK6 @ sK4 = $true) | ~spl1_4),
0.16/0.52	  inference(avatar_component_clause,[],[f231])).
0.16/0.52	tff(f235,plain,(
0.16/0.52	  spl1_6 <=> sK2 = sK4),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
0.16/0.52	tff(f238,plain,(
0.16/0.52	  spl1_7 <=> sK2 != sK4),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
0.16/0.52	tff(f245,plain,(
0.16/0.52	  spl1_8 <=> (sK0 @ sK4 @ sK2 = $true)),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
0.16/0.52	tff(f246,plain,(
0.16/0.52	  (sK0 @ sK4 @ sK2 = $true) | ~spl1_8),
0.16/0.52	  inference(avatar_component_clause,[],[f245])).
0.16/0.52	tff(f252,plain,(
0.16/0.52	  spl1_10 <=> (sK0 @ sK6 @ sK2 = $false)),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
0.16/0.52	tff(f253,plain,(
0.16/0.52	  (sK0 @ sK6 @ sK2 = $false) | ~spl1_10),
0.16/0.52	  inference(avatar_component_clause,[],[f252])).
0.16/0.52	tff(f258,plain,(
0.16/0.52	  spl1_12 <=> sK2 = sK6),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
0.16/0.52	tff(f259,plain,(
0.16/0.52	  sK2 = sK6 | ~spl1_12),
0.16/0.52	  inference(avatar_component_clause,[],[f258])).
0.16/0.52	tff(f265,plain,(
0.16/0.52	  spl1_14 <=> (sK0 @ sK5 @ sK3 = $true)),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
0.16/0.52	tff(f266,plain,(
0.16/0.52	  (sK0 @ sK5 @ sK3 = $true) | ~spl1_14),
0.16/0.52	  inference(avatar_component_clause,[],[f265])).
0.16/0.52	tff(f268,plain,(
0.16/0.52	  spl1_4 | spl1_14),
0.16/0.52	  inference(avatar_split_clause,[],[f194,f265,f231])).
0.16/0.52	tff(f269,plain,(
0.16/0.52	  ~spl1_7 | spl1_14),
0.16/0.52	  inference(avatar_split_clause,[],[f192,f265,f238])).
0.16/0.52	tff(f270,plain,(
0.16/0.52	  spl1_8 | spl1_14),
0.16/0.52	  inference(avatar_split_clause,[],[f190,f265,f245])).
0.16/0.52	tff(f271,plain,(
0.16/0.52	  spl1_10 | spl1_12 | spl1_14),
0.16/0.52	  inference(avatar_split_clause,[],[f186,f265,f258,f252])).
0.16/0.52	tff(f273,plain,(
0.16/0.52	  spl1_4 | ~spl1_3),
0.16/0.52	  inference(avatar_split_clause,[],[f177,f224,f231])).
0.16/0.52	tff(f274,plain,(
0.16/0.52	  ~spl1_7 | ~spl1_3),
0.16/0.52	  inference(avatar_split_clause,[],[f175,f224,f238])).
0.16/0.52	tff(f275,plain,(
0.16/0.52	  spl1_8 | ~spl1_3),
0.16/0.52	  inference(avatar_split_clause,[],[f173,f224,f245])).
0.16/0.52	tff(f276,plain,(
0.16/0.52	  spl1_10 | spl1_12 | ~spl1_3),
0.16/0.52	  inference(avatar_split_clause,[],[f169,f224,f258,f252])).
0.16/0.52	tff(f281,plain,(
0.16/0.52	  spl1_16 <=> (sK0 @ sK3 @ sK5 = $true)),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
0.16/0.52	tff(f282,plain,(
0.16/0.52	  (sK0 @ sK3 @ sK5 = $true) | ~spl1_16),
0.16/0.52	  inference(avatar_component_clause,[],[f281])).
0.16/0.52	tff(f284,plain,(
0.16/0.52	  spl1_4 | spl1_16),
0.16/0.52	  inference(avatar_split_clause,[],[f160,f281,f231])).
0.16/0.52	tff(f285,plain,(
0.16/0.52	  ~spl1_7 | spl1_16),
0.16/0.52	  inference(avatar_split_clause,[],[f158,f281,f238])).
0.16/0.52	tff(f286,plain,(
0.16/0.52	  spl1_8 | spl1_16),
0.16/0.52	  inference(avatar_split_clause,[],[f156,f281,f245])).
0.16/0.52	tff(f287,plain,(
0.16/0.52	  spl1_10 | spl1_12 | spl1_16),
0.16/0.52	  inference(avatar_split_clause,[],[f152,f281,f258,f252])).
0.16/0.52	tff(f337,plain,(
0.16/0.52	  ($false = $true) | sK2 = sK4 | (sK0 @ sK2 @ sK4 = $false) | ~spl1_8),
0.16/0.52	  inference(superposition,[],[f132,f246])).
0.16/0.52	tff(f340,plain,(
0.16/0.52	  sK2 = sK4 | (sK0 @ sK2 @ sK4 = $false) | ~spl1_8),
0.16/0.52	  inference(trivial_inequality_removal,[],[f337])).
0.16/0.52	tff(f347,plain,(
0.16/0.52	  spl1_24 <=> (sK0 @ sK2 @ sK4 = $false)),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_24])])).
0.16/0.52	tff(f348,plain,(
0.16/0.52	  (sK0 @ sK2 @ sK4 = $false) | ~spl1_24),
0.16/0.52	  inference(avatar_component_clause,[],[f347])).
0.16/0.52	tff(f350,plain,(
0.16/0.52	  spl1_24 | spl1_6 | ~spl1_8),
0.16/0.52	  inference(avatar_split_clause,[],[f340,f245,f235,f347])).
0.16/0.52	tff(f359,plain,(
0.16/0.52	  ($false = $true) | sK3 = sK5 | (sK0 @ sK3 @ sK5 = $false) | ~spl1_14),
0.16/0.52	  inference(superposition,[],[f132,f266])).
0.16/0.52	tff(f362,plain,(
0.16/0.52	  sK3 = sK5 | (sK0 @ sK3 @ sK5 = $false) | ~spl1_14),
0.16/0.52	  inference(trivial_inequality_removal,[],[f359])).
0.16/0.52	tff(f369,plain,(
0.16/0.52	  spl1_26 <=> (sK0 @ sK3 @ sK5 = $false)),
0.16/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl1_26])])).
0.16/0.52	tff(f370,plain,(
0.16/0.52	  (sK0 @ sK3 @ sK5 = $false) | ~spl1_26),
0.16/0.52	  inference(avatar_component_clause,[],[f369])).
0.16/0.52	tff(f372,plain,(
0.16/0.52	  spl1_26 | spl1_2 | ~spl1_14),
0.16/0.52	  inference(avatar_split_clause,[],[f362,f265,f221,f369])).
0.16/0.52	tff(f373,plain,(
0.16/0.52	  ($false = $true) | (~spl1_16 | ~spl1_26)),
0.16/0.52	  inference(backward_demodulation,[],[f370,f282])).
0.16/0.52	tff(f374,plain,(
0.16/0.52	  $false | (~spl1_16 | ~spl1_26)),
0.16/0.52	  inference(trivial_inequality_removal,[],[f373])).
0.16/0.52	tff(f375,plain,(
0.16/0.52	  ~spl1_16 | ~spl1_26),
0.16/0.52	  inference(avatar_contradiction_clause,[],[f374])).
0.16/0.52	tff(f378,plain,(
0.16/0.52	  ( ! [X0] : (($false = $true) | (sK0 @ sK6 @ X0 = $true) | (sK0 @ sK4 @ X0 = $false)) ) | ~spl1_4),
0.16/0.52	  inference(superposition,[],[f232,f123])).
0.16/0.52	tff(f383,plain,(
0.16/0.52	  ( ! [X0] : ((sK0 @ sK6 @ X0 = $true) | (sK0 @ sK4 @ X0 = $false)) ) | ~spl1_4),
0.16/0.52	  inference(trivial_inequality_removal,[],[f378])).
0.16/0.52	tff(f409,plain,(
0.16/0.52	  ($false = $true) | (sK0 @ sK4 @ sK2 = $false) | (~spl1_4 | ~spl1_10)),
0.16/0.52	  inference(superposition,[],[f383,f253])).
0.16/0.52	tff(f420,plain,(
0.16/0.52	  (sK0 @ sK4 @ sK2 = $false) | (~spl1_4 | ~spl1_10)),
0.16/0.52	  inference(trivial_inequality_removal,[],[f409])).
0.16/0.52	tff(f421,plain,(
0.16/0.52	  ($false = $true) | (~spl1_4 | ~spl1_8 | ~spl1_10)),
0.16/0.52	  inference(backward_demodulation,[],[f420,f246])).
0.16/0.52	tff(f422,plain,(
0.16/0.52	  $false | (~spl1_4 | ~spl1_8 | ~spl1_10)),
0.16/0.52	  inference(trivial_inequality_removal,[],[f421])).
0.16/0.52	tff(f423,plain,(
0.16/0.52	  ~spl1_4 | ~spl1_8 | ~spl1_10),
0.16/0.52	  inference(avatar_contradiction_clause,[],[f422])).
0.16/0.52	tff(f425,plain,(
0.16/0.52	  (sK0 @ sK2 @ sK4 = $true) | (~spl1_4 | ~spl1_12)),
0.16/0.52	  inference(backward_demodulation,[],[f259,f232])).
0.16/0.52	tff(f428,plain,(
0.16/0.52	  ($false = $true) | (~spl1_4 | ~spl1_12 | ~spl1_24)),
0.16/0.52	  inference(forward_demodulation,[],[f425,f348])).
0.16/0.52	tff(f429,plain,(
0.16/0.52	  $false | (~spl1_4 | ~spl1_12 | ~spl1_24)),
0.16/0.52	  inference(trivial_inequality_removal,[],[f428])).
0.16/0.52	tff(f430,plain,(
0.16/0.52	  ~spl1_4 | ~spl1_12 | ~spl1_24),
0.16/0.52	  inference(avatar_contradiction_clause,[],[f429])).
0.16/0.52	tff(f437,plain,(
0.16/0.52	  $false),
0.16/0.52	  inference(avatar_sat_refutation,[],[f268,f269,f270,f271,f273,f274,f275,f276,f284,f285,f286,f287,f350,f372,f375,f423,f430])).
0.16/0.52	% SZS output end Proof for theBenchmark
0.16/0.52	% (21034)------------------------------
0.16/0.52	% (21034)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.16/0.52	% (21034)Termination reason: Refutation
0.16/0.52	
0.16/0.52	% (21034)Memory used [KB]: 10234
0.16/0.52	% (21034)Time elapsed: 0.157 s
0.16/0.52	% (21034)------------------------------
0.16/0.52	% (21034)------------------------------
0.16/0.52	% (21010)Success in time 0.204 s
0.16/0.52	EOF