0.07/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_vampire %s %d
0.13/0.33	% Computer   : n005.cluster.edu
0.13/0.33	% Model      : x86_64 x86_64
0.13/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory     : 8042.1875MB
0.13/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 960
0.13/0.33	% WCLimit    : 120
0.13/0.33	% DateTime   : Thu Jul  2 06:41:36 EDT 2020
0.13/0.33	% CPUTime    : 
0.20/0.38	% (31672)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.20/0.38	% (31665)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.39	% (31680)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.20/0.39	% (31688)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
0.20/0.39	% (31666)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.20/0.39	% (31667)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.20/0.39	% (31668)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.20/0.39	% (31677)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.39	% (31678)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.20/0.39	% (31687)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.20/0.40	% (31679)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
0.20/0.41	% (31692)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
0.20/0.41	% (31691)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.20/0.41	% (31690)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.20/0.41	% (31669)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.20/0.41	% (31670)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.20/0.41	% (31671)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.20/0.41	% (31681)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.20/0.42	% (31689)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.20/0.42	% (31683)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
0.20/0.42	% (31684)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.20/0.42	% (31682)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark
0.20/0.42	% (31693)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.20/0.42	% (31694)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark
0.20/0.43	% (31673)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.43	% (31674)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.20/0.43	% (31675)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
0.20/0.43	% (31676)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
0.20/0.43	% (31685)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
0.20/0.43	% (31686)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.20/0.47	% (31688)Refutation found. Thanks to Tanya!
0.20/0.47	% SZS status Theorem for theBenchmark
0.20/0.48	% SZS output start Proof for theBenchmark
0.20/0.48	tff(func_def_0, type, mu: '$tType').
0.20/0.48	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.20/0.48	tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o').
0.20/0.48	tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.20/0.48	tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_19, type, mtrue: '$i' -> '$o').
0.20/0.48	tff(func_def_20, type, mfalse: '$i' -> '$o').
0.20/0.48	tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o').
0.20/0.48	tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o').
0.20/0.48	tff(func_def_37, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.20/0.48	tff(func_def_40, type, vNOT: '$o' -> '$o').
0.20/0.48	tff(func_def_41, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
0.20/0.48	tff(func_def_42, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.48	tff(func_def_43, type, vAND: '$o' -> '$o' -> '$o').
0.20/0.48	tff(func_def_44, type, vIMP: '$o' -> '$o' -> '$o').
0.20/0.48	tff(func_def_45, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.20/0.48	tff(func_def_46, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.48	tff(func_def_47, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
0.20/0.48	tff(func_def_48, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.20/0.48	tff(func_def_49, type, vOR: '$o' -> '$o' -> '$o').
0.20/0.48	tff(func_def_50, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.20/0.48	tff(func_def_51, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.20/0.48	tff(func_def_52, type, sK0: '$i' -> '$i' -> '$o').
0.20/0.48	tff(f18,axiom,(
0.20/0.48	  mreflexive = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8] : X6 @ X8 @ X8)),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
0.20/0.48	tff(f19,axiom,(
0.20/0.48	  msymmetric = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9] : (X6 @ X8 @ X9 => X6 @ X9 @ X8))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
0.20/0.48	tff(f21,axiom,(
0.20/0.48	  mtransitive = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9,X10] : ((X6 @ X9 @ X10 & X6 @ X8 @ X9) => X6 @ X8 @ X10))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
0.20/0.48	tff(f22,axiom,(
0.20/0.48	  meuclidean = (^[X6 : '$i' -> '$i' -> '$o'] : ! [X8,X9,X10] : ((X6 @ X8 @ X10 & X6 @ X8 @ X9) => X6 @ X9 @ X10))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean)).
0.20/0.48	tff(f32,conjecture,(
0.20/0.48	  ! [X6 : '$i' -> '$i' -> '$o'] : ((mreflexive @ X6 & mtransitive @ X6 & msymmetric @ X6) <=> (mreflexive @ X6 & meuclidean @ X6))),
0.20/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
0.20/0.48	tff(f33,negated_conjecture,(
0.20/0.48	  ~! [X6 : '$i' -> '$i' -> '$o'] : ((mreflexive @ X6 & mtransitive @ X6 & msymmetric @ X6) <=> (mreflexive @ X6 & meuclidean @ X6))),
0.20/0.48	  inference(negated_conjecture,[],[f32])).
0.20/0.48	tff(f34,plain,(
0.20/0.48	  ~! [X0 : '$i' -> '$i' -> '$o'] : ((mreflexive @ X0 & mtransitive @ X0 & msymmetric @ X0) <=> (mreflexive @ X0 & meuclidean @ X0))),
0.20/0.48	  inference(rectify,[],[f33])).
0.20/0.48	tff(f35,plain,(
0.20/0.48	  ~! [X0 : '$i' -> '$i' -> '$o'] : (((mreflexive @ X0 = $true) & (mtransitive @ X0 = $true) & (msymmetric @ X0 = $true)) <=> ((mreflexive @ X0 = $true) & (meuclidean @ X0 = $true)))),
0.20/0.48	  inference(fool_elimination,[],[f34])).
0.20/0.48	tff(f68,plain,(
0.20/0.48	  msymmetric = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2] : (X0 @ X1 @ X2 => X0 @ X2 @ X1))),
0.20/0.48	  inference(rectify,[],[f19])).
0.20/0.48	tff(f69,plain,(
0.20/0.48	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) = msymmetric),
0.20/0.48	  inference(fool_elimination,[],[f68])).
0.20/0.48	tff(f70,plain,(
0.20/0.48	  mtransitive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2,X3] : ((X0 @ X2 @ X3 & X0 @ X1 @ X2) => X0 @ X1 @ X3))),
0.20/0.48	  inference(rectify,[],[f21])).
0.20/0.48	tff(f71,plain,(
0.20/0.48	  bCOMB @ vPI('$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))) = mtransitive),
0.20/0.48	  inference(fool_elimination,[],[f70])).
0.20/0.48	tff(f72,plain,(
0.20/0.48	  meuclidean = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2,X3] : ((X0 @ X1 @ X3 & X0 @ X1 @ X2) => X0 @ X2 @ X3))),
0.20/0.48	  inference(rectify,[],[f22])).
0.20/0.48	tff(f73,plain,(
0.20/0.48	  bCOMB @ vPI('$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),
0.20/0.48	  inference(fool_elimination,[],[f72])).
0.20/0.48	tff(f82,plain,(
0.20/0.48	  mreflexive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1] : X0 @ X1 @ X1)),
0.20/0.48	  inference(rectify,[],[f18])).
0.20/0.48	tff(f83,plain,(
0.20/0.48	  bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive),
0.20/0.48	  inference(fool_elimination,[],[f82])).
0.20/0.48	tff(f94,plain,(
0.20/0.48	  ? [X0 : '$i' -> '$i' -> '$o'] : (((mreflexive @ X0 = $true) & (mtransitive @ X0 = $true) & (msymmetric @ X0 = $true)) <~> ((mreflexive @ X0 = $true) & (meuclidean @ X0 = $true)))),
0.20/0.48	  inference(ennf_transformation,[],[f35])).
0.20/0.48	tff(f95,plain,(
0.20/0.48	  ? [X0 : '$i' -> '$i' -> '$o'] : ((((mreflexive @ X0 != $true) | (meuclidean @ X0 != $true)) | ((mreflexive @ X0 != $true) | (mtransitive @ X0 != $true) | (msymmetric @ X0 != $true))) & (((mreflexive @ X0 = $true) & (meuclidean @ X0 = $true)) | ((mreflexive @ X0 = $true) & (mtransitive @ X0 = $true) & (msymmetric @ X0 = $true))))),
0.20/0.48	  inference(nnf_transformation,[],[f94])).
0.20/0.48	tff(f96,plain,(
0.20/0.48	  ? [X0 : '$i' -> '$i' -> '$o'] : (((mreflexive @ X0 != $true) | (meuclidean @ X0 != $true) | (mreflexive @ X0 != $true) | (mtransitive @ X0 != $true) | (msymmetric @ X0 != $true)) & (((mreflexive @ X0 = $true) & (meuclidean @ X0 = $true)) | ((mreflexive @ X0 = $true) & (mtransitive @ X0 = $true) & (msymmetric @ X0 = $true))))),
0.20/0.48	  inference(flattening,[],[f95])).
0.20/0.48	tff(f97,plain,(
0.20/0.48	  ? [X0 : '$i' -> '$i' -> '$o'] : (((mreflexive @ X0 != $true) | (meuclidean @ X0 != $true) | (mreflexive @ X0 != $true) | (mtransitive @ X0 != $true) | (msymmetric @ X0 != $true)) & (((mreflexive @ X0 = $true) & (meuclidean @ X0 = $true)) | ((mreflexive @ X0 = $true) & (mtransitive @ X0 = $true) & (msymmetric @ X0 = $true)))) => (((mreflexive @ sK0 != $true) | (meuclidean @ sK0 != $true) | (mreflexive @ sK0 != $true) | (mtransitive @ sK0 != $true) | (msymmetric @ sK0 != $true)) & (((mreflexive @ sK0 = $true) & (meuclidean @ sK0 = $true)) | ((mreflexive @ sK0 = $true) & (mtransitive @ sK0 = $true) & (msymmetric @ sK0 = $true))))),
0.20/0.48	  introduced(choice_axiom,[])).
0.20/0.48	tff(f98,plain,(
0.20/0.48	  ((mreflexive @ sK0 != $true) | (meuclidean @ sK0 != $true) | (mreflexive @ sK0 != $true) | (mtransitive @ sK0 != $true) | (msymmetric @ sK0 != $true)) & (((mreflexive @ sK0 = $true) & (meuclidean @ sK0 = $true)) | ((mreflexive @ sK0 = $true) & (mtransitive @ sK0 = $true) & (msymmetric @ sK0 = $true)))),
0.20/0.48	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f96,f97])).
0.20/0.48	tff(f99,plain,(
0.20/0.48	  (meuclidean @ sK0 = $true) | (msymmetric @ sK0 = $true)),
0.20/0.48	  inference(cnf_transformation,[],[f98])).
0.20/0.48	tff(f100,plain,(
0.20/0.48	  (meuclidean @ sK0 = $true) | (mtransitive @ sK0 = $true)),
0.20/0.48	  inference(cnf_transformation,[],[f98])).
0.20/0.48	tff(f104,plain,(
0.20/0.48	  (mreflexive @ sK0 = $true) | (mreflexive @ sK0 = $true)),
0.20/0.48	  inference(cnf_transformation,[],[f98])).
0.20/0.49	tff(f105,plain,(
0.20/0.49	  (mreflexive @ sK0 != $true) | (meuclidean @ sK0 != $true) | (mreflexive @ sK0 != $true) | (mtransitive @ sK0 != $true) | (msymmetric @ sK0 != $true)),
0.20/0.49	  inference(cnf_transformation,[],[f98])).
0.20/0.49	tff(f106,plain,(
0.20/0.49	  bCOMB @ vPI('$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),
0.20/0.49	  inference(cnf_transformation,[],[f73])).
0.20/0.49	tff(f107,plain,(
0.20/0.49	  bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive),
0.20/0.49	  inference(cnf_transformation,[],[f83])).
0.20/0.49	tff(f108,plain,(
0.20/0.49	  bCOMB @ vPI('$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),
0.20/0.49	  inference(cnf_transformation,[],[f71])).
0.20/0.49	tff(f110,plain,(
0.20/0.49	  bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) = msymmetric),
0.20/0.49	  inference(cnf_transformation,[],[f69])).
0.20/0.50	tff(f111,plain,(
0.20/0.50	  (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 @ 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('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$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 @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) @ sK0 != $true)),
0.20/0.50	  inference(definition_unfolding,[],[f105,f107,f106,f107,f108,f110])).
0.20/0.50	tff(f112,plain,(
0.20/0.50	  (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 = $true) | (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 = $true)),
0.20/0.50	  inference(definition_unfolding,[],[f104,f107,f107])).
0.20/0.50	tff(f116,plain,(
0.20/0.50	  (bCOMB @ vPI('$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 = $true)),
0.20/0.50	  inference(definition_unfolding,[],[f100,f106,f108])).
0.20/0.50	tff(f117,plain,(
0.20/0.50	  (bCOMB @ vPI('$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 = $true)),
0.20/0.50	  inference(definition_unfolding,[],[f99,f106,f110])).
0.20/0.50	tff(f118,plain,(
0.20/0.50	  (vPI('$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)) = $true)),
0.20/0.50	  inference(combinator_demodulation,[],[f117])).
0.20/0.50	tff(f119,plain,(
0.20/0.50	  ( ! [X1] : ((vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f118])).
0.20/0.50	tff(f120,plain,(
0.20/0.50	  ( ! [X2,X1] : ((bCOMB @ vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f119])).
0.20/0.50	tff(f121,plain,(
0.20/0.50	  ( ! [X2,X1] : ((vPI('$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)) = $true)) )),
0.20/0.50	  inference(combinator_demodulation,[],[f120])).
0.20/0.50	tff(f122,plain,(
0.20/0.50	  ( ! [X2,X3,X1] : ((vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f121])).
0.20/0.50	tff(f123,plain,(
0.20/0.50	  ( ! [X4,X2,X3,X1] : ((bCOMB @ vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f122])).
0.20/0.50	tff(f124,plain,(
0.20/0.50	  ( ! [X4,X2,X3,X1] : ((vPI('$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)) )),
0.20/0.50	  inference(combinator_demodulation,[],[f123])).
0.20/0.50	tff(f125,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(pi_clausification,[],[f124])).
0.20/0.50	tff(f126,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(binary_proxy_clausification,[],[f125])).
0.20/0.50	tff(f127,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(combinator_demodulation,[],[f126])).
0.20/0.50	tff(f128,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(binary_proxy_clausification,[],[f127])).
0.20/0.50	tff(f129,plain,(
0.20/0.50	  ( ! [X4,X2,X5,X3,X1] : ((sK0 @ X5 @ X4 = $false) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true) | (sK0 @ X4 @ X2 = $true) | (sK0 @ X5 @ X2 = $false)) )),
0.20/0.50	  inference(binary_proxy_clausification,[],[f128])).
0.20/0.50	tff(f130,plain,(
0.20/0.50	  (vPI('$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)))) = $true)),
0.20/0.50	  inference(combinator_demodulation,[],[f116])).
0.20/0.50	tff(f131,plain,(
0.20/0.50	  ( ! [X1] : ((vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f130])).
0.20/0.50	tff(f132,plain,(
0.20/0.50	  ( ! [X2,X1] : ((bCOMB @ vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f131])).
0.20/0.50	tff(f133,plain,(
0.20/0.50	  ( ! [X2,X1] : ((vPI('$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))) = $true)) )),
0.20/0.50	  inference(combinator_demodulation,[],[f132])).
0.20/0.50	tff(f134,plain,(
0.20/0.50	  ( ! [X2,X3,X1] : ((vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f133])).
0.20/0.50	tff(f135,plain,(
0.20/0.50	  ( ! [X4,X2,X3,X1] : ((bCOMB @ vPI('$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 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f134])).
0.20/0.50	tff(f136,plain,(
0.20/0.50	  ( ! [X4,X2,X3,X1] : ((vPI('$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)) = $true)) )),
0.20/0.50	  inference(combinator_demodulation,[],[f135])).
0.20/0.50	tff(f137,plain,(
0.20/0.50	  ( ! [X4,X2,X5,X3,X1] : ((vPI('$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)) )),
0.20/0.50	  inference(pi_clausification,[],[f136])).
0.20/0.50	% (31668)Refutation not found, incomplete strategy
0.20/0.50	% (31668)------------------------------
0.20/0.50	% (31668)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.50	% (31668)Termination reason: Refutation not found, incomplete strategy
0.20/0.50	
0.20/0.50	% (31668)Memory used [KB]: 10362
0.20/0.50	% (31668)Time elapsed: 0.144 s
0.20/0.50	% (31668)------------------------------
0.20/0.50	% (31668)------------------------------
0.20/0.50	tff(f138,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(pi_clausification,[],[f137])).
0.20/0.50	tff(f139,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(combinator_demodulation,[],[f138])).
0.20/0.50	tff(f140,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(binary_proxy_clausification,[],[f139])).
0.20/0.50	tff(f141,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(binary_proxy_clausification,[],[f140])).
0.20/0.50	tff(f142,plain,(
0.20/0.50	  ( ! [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)) )),
0.20/0.50	  inference(binary_proxy_clausification,[],[f141])).
0.20/0.50	tff(f143,plain,(
0.20/0.50	  ( ! [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 = $false)) )),
0.20/0.50	  inference(binary_proxy_clausification,[],[f142])).
0.20/0.50	tff(f171,plain,(
0.20/0.50	  (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 = $true)),
0.20/0.50	  inference(duplicate_literal_removal,[],[f112])).
0.20/0.50	tff(f172,plain,(
0.20/0.50	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) = $true)),
0.20/0.50	  inference(combinator_demodulation,[],[f171])).
0.20/0.50	tff(f173,plain,(
0.20/0.50	  ( ! [X1] : ((sCOMB @ sK0 @ iCOMB @ X1 = $true)) )),
0.20/0.50	  inference(pi_clausification,[],[f172])).
0.20/0.50	tff(f174,plain,(
0.20/0.50	  ( ! [X1] : ((sK0 @ X1 @ X1 = $true)) )),
0.20/0.50	  inference(combinator_demodulation,[],[f173])).
0.20/0.50	tff(f175,plain,(
0.20/0.50	  (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ sK0 != $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ 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 != $true) | (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ iCOMB)) @ sK0 != $true)),
0.20/0.50	  inference(duplicate_literal_removal,[],[f111])).
0.20/0.50	tff(f176,plain,(
0.20/0.50	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (vPI('$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)))) != $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0)) != $true)),
0.20/0.50	  inference(combinator_demodulation,[],[f175])).
0.20/0.50	tff(f177,plain,(
0.20/0.50	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (vPI('$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)))) != $true) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ sK2 = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f176])).
0.20/0.50	tff(f178,plain,(
0.20/0.50	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (vPI('$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))) @ sK3 = $false) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ sK2 = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f177])).
0.20/0.50	tff(f179,plain,(
0.20/0.50	  (vPI('$i') @ (sCOMB @ sK0 @ iCOMB) != $true) | (bCOMB @ vPI('$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))) @ sK4 = $false) | (bCOMB @ vPI('$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))) @ sK3 = $false) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ sK2 = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f178])).
0.20/0.50	tff(f180,plain,(
0.20/0.50	  (sCOMB @ sK0 @ iCOMB @ sK5 = $false) | (bCOMB @ vPI('$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))) @ sK4 = $false) | (bCOMB @ vPI('$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))) @ sK3 = $false) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ sK0))) @ sK0) @ sK2 = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f179])).
0.20/0.50	tff(f181,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK4)))) @ (cCOMB @ sK0 @ sK4))) = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK3)))) @ (cCOMB @ sK0 @ sK3))) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK2)) @ (sK0 @ sK2)) = $false)),
0.20/0.50	  inference(combinator_demodulation,[],[f180])).
0.20/0.50	tff(f182,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK4)))) @ (cCOMB @ sK0 @ sK4))) = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK3)))) @ (cCOMB @ sK0 @ sK3))) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK2)) @ (sK0 @ sK2) @ sK6 = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f181])).
0.20/0.50	tff(f183,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK4)))) @ (cCOMB @ sK0 @ sK4))) = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK3)))) @ (cCOMB @ sK0 @ sK3)) @ sK7 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK2)) @ (sK0 @ sK2) @ sK6 = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f182])).
0.20/0.50	tff(f184,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK4)))) @ (cCOMB @ sK0 @ sK4)) @ sK8 = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ sK0))) @ (cCOMB @ sK0 @ sK3)))) @ (cCOMB @ sK0 @ sK3)) @ sK7 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ sK0 @ sK2)) @ (sK0 @ sK2) @ sK6 = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f183])).
0.20/0.50	tff(f185,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK8)) @ (cCOMB @ sK0 @ sK4))) @ (sK0 @ sK8 @ sK4)) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK7)) @ (sK0 @ sK7 @ sK3))) @ (cCOMB @ sK0 @ sK3)) = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(combinator_demodulation,[],[f184])).
0.20/0.50	tff(f186,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK8)) @ (cCOMB @ sK0 @ sK4))) @ (sK0 @ sK8 @ sK4)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK7)) @ (sK0 @ sK7 @ sK3))) @ (cCOMB @ sK0 @ sK3) @ sK9 = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f185])).
0.20/0.50	tff(f187,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK8)) @ (cCOMB @ sK0 @ sK4))) @ (sK0 @ sK8 @ sK4) @ sK10 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ sK0 @ sK7)) @ (sK0 @ sK7 @ sK3))) @ (cCOMB @ sK0 @ sK3) @ sK9 = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(sigma_clausification,[],[f186])).
0.20/0.50	tff(f188,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (vIMP @ (vAND @ (sK0 @ sK10 @ sK8) @ (sK0 @ sK10 @ sK4)) @ (sK0 @ sK8 @ sK4) = $false) | (vIMP @ (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3)) @ (sK0 @ sK9 @ sK3) = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(combinator_demodulation,[],[f187])).
0.20/0.50	tff(f189,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (vAND @ (sK0 @ sK10 @ sK8) @ (sK0 @ sK10 @ sK4) = $true) | (vIMP @ (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3)) @ (sK0 @ sK9 @ sK3) = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f188])).
0.20/0.50	tff(f190,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (vIMP @ (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3)) @ (sK0 @ sK9 @ sK3) = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f188])).
0.20/0.50	tff(f191,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3) = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f190])).
0.20/0.50	tff(f192,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK9 @ sK3 = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f190])).
0.20/0.50	tff(f193,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK9 @ sK3 = $false) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f192])).
0.20/0.50	tff(f194,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK9 @ sK3 = $false) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f192])).
0.20/0.50	tff(f195,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK9 @ sK7 = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f191])).
0.20/0.50	tff(f196,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK7 @ sK3 = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f191])).
0.20/0.50	tff(f197,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK7 @ sK3 = $true) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f196])).
0.20/0.50	tff(f198,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK7 @ sK3 = $true) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f196])).
0.20/0.50	tff(f199,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK9 @ sK7 = $true) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f195])).
0.20/0.50	tff(f200,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK8 @ sK4 = $false) | (sK0 @ sK9 @ sK7 = $true) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f195])).
0.20/0.50	tff(f201,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (vIMP @ (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3)) @ (sK0 @ sK9 @ sK3) = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f189])).
0.20/0.50	tff(f202,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (vIMP @ (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3)) @ (sK0 @ sK9 @ sK3) = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f189])).
0.20/0.50	tff(f203,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3) = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f202])).
0.20/0.50	tff(f204,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK9 @ sK3 = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f202])).
0.20/0.50	tff(f205,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK9 @ sK3 = $false) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f204])).
0.20/0.50	tff(f206,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK9 @ sK3 = $false) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f204])).
0.20/0.50	tff(f207,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK9 @ sK7 = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f203])).
0.20/0.50	tff(f208,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK7 @ sK3 = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f203])).
0.20/0.50	tff(f209,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK7 @ sK3 = $true) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f208])).
0.20/0.50	tff(f210,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK7 @ sK3 = $true) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f208])).
0.20/0.50	tff(f211,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK9 @ sK7 = $true) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f207])).
0.20/0.50	tff(f212,plain,(
0.20/0.50	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK4 = $true) | (sK0 @ sK9 @ sK7 = $true) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.50	  inference(binary_proxy_clausification,[],[f207])).
0.20/0.51	tff(f213,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (vAND @ (sK0 @ sK9 @ sK7) @ (sK0 @ sK7 @ sK3) = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f201])).
0.20/0.51	tff(f214,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK9 @ sK3 = $false) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f201])).
0.20/0.51	tff(f215,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK9 @ sK3 = $false) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f214])).
0.20/0.51	tff(f216,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK9 @ sK3 = $false) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f214])).
0.20/0.51	tff(f217,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK9 @ sK7 = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f213])).
0.20/0.51	tff(f218,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK7 @ sK3 = $true) | (vIMP @ (sK0 @ sK6 @ sK2) @ (sK0 @ sK2 @ sK6) = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f213])).
0.20/0.51	tff(f219,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK7 @ sK3 = $true) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f218])).
0.20/0.51	tff(f220,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK7 @ sK3 = $true) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f218])).
0.20/0.51	tff(f221,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK9 @ sK7 = $true) | (sK0 @ sK6 @ sK2 = $true)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f217])).
0.20/0.51	tff(f222,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | (sK0 @ sK10 @ sK8 = $true) | (sK0 @ sK9 @ sK7 = $true) | (sK0 @ sK2 @ sK6 = $false)),
0.20/0.51	  inference(binary_proxy_clausification,[],[f217])).
0.20/0.51	tff(f227,plain,(
0.20/0.51	  spl1_0 <=> (sK0 @ sK6 @ sK2 = $true)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_0])])).
0.20/0.51	tff(f228,plain,(
0.20/0.51	  (sK0 @ sK6 @ sK2 = $true) | ~spl1_0),
0.20/0.51	  inference(avatar_component_clause,[],[f227])).
0.20/0.51	tff(f233,plain,(
0.20/0.51	  spl1_2 <=> (sK0 @ sK9 @ sK7 = $true)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.20/0.51	tff(f234,plain,(
0.20/0.51	  (sK0 @ sK9 @ sK7 = $true) | ~spl1_2),
0.20/0.51	  inference(avatar_component_clause,[],[f233])).
0.20/0.51	tff(f239,plain,(
0.20/0.51	  spl1_4 <=> (sK0 @ sK10 @ sK8 = $true)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.20/0.51	tff(f240,plain,(
0.20/0.51	  (sK0 @ sK10 @ sK8 = $true) | ~spl1_4),
0.20/0.51	  inference(avatar_component_clause,[],[f239])).
0.20/0.51	tff(f245,plain,(
0.20/0.51	  spl1_6 <=> (sK0 @ sK5 @ sK5 = $false)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
0.20/0.51	tff(f246,plain,(
0.20/0.51	  (sK0 @ sK5 @ sK5 = $false) | ~spl1_6),
0.20/0.51	  inference(avatar_component_clause,[],[f245])).
0.20/0.51	tff(f247,plain,(
0.20/0.51	  spl1_0 | spl1_2 | spl1_4 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f221,f245,f239,f233,f227])).
0.20/0.51	tff(f252,plain,(
0.20/0.51	  spl1_8 <=> (sK0 @ sK2 @ sK6 = $false)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
0.20/0.51	tff(f253,plain,(
0.20/0.51	  (sK0 @ sK2 @ sK6 = $false) | ~spl1_8),
0.20/0.51	  inference(avatar_component_clause,[],[f252])).
0.20/0.51	tff(f254,plain,(
0.20/0.51	  spl1_8 | spl1_2 | spl1_4 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f222,f245,f239,f233,f252])).
0.20/0.51	tff(f259,plain,(
0.20/0.51	  spl1_10 <=> (sK0 @ sK7 @ sK3 = $true)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
0.20/0.51	tff(f260,plain,(
0.20/0.51	  (sK0 @ sK7 @ sK3 = $true) | ~spl1_10),
0.20/0.51	  inference(avatar_component_clause,[],[f259])).
0.20/0.51	tff(f261,plain,(
0.20/0.51	  spl1_0 | spl1_10 | spl1_4 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f219,f245,f239,f259,f227])).
0.20/0.51	tff(f262,plain,(
0.20/0.51	  spl1_8 | spl1_10 | spl1_4 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f220,f245,f239,f259,f252])).
0.20/0.51	tff(f267,plain,(
0.20/0.51	  spl1_12 <=> (sK0 @ sK9 @ sK3 = $false)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
0.20/0.51	tff(f268,plain,(
0.20/0.51	  (sK0 @ sK9 @ sK3 = $false) | ~spl1_12),
0.20/0.51	  inference(avatar_component_clause,[],[f267])).
0.20/0.51	tff(f269,plain,(
0.20/0.51	  spl1_0 | spl1_12 | spl1_4 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f215,f245,f239,f267,f227])).
0.20/0.51	tff(f270,plain,(
0.20/0.51	  spl1_8 | spl1_12 | spl1_4 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f216,f245,f239,f267,f252])).
0.20/0.51	tff(f275,plain,(
0.20/0.51	  spl1_14 <=> (sK0 @ sK10 @ sK4 = $true)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
0.20/0.51	tff(f276,plain,(
0.20/0.51	  (sK0 @ sK10 @ sK4 = $true) | ~spl1_14),
0.20/0.51	  inference(avatar_component_clause,[],[f275])).
0.20/0.51	tff(f277,plain,(
0.20/0.51	  spl1_0 | spl1_2 | spl1_14 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f211,f245,f275,f233,f227])).
0.20/0.51	tff(f278,plain,(
0.20/0.51	  spl1_8 | spl1_2 | spl1_14 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f212,f245,f275,f233,f252])).
0.20/0.51	tff(f279,plain,(
0.20/0.51	  spl1_0 | spl1_10 | spl1_14 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f209,f245,f275,f259,f227])).
0.20/0.51	tff(f280,plain,(
0.20/0.51	  spl1_8 | spl1_10 | spl1_14 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f210,f245,f275,f259,f252])).
0.20/0.51	tff(f281,plain,(
0.20/0.51	  spl1_0 | spl1_12 | spl1_14 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f205,f245,f275,f267,f227])).
0.20/0.51	tff(f282,plain,(
0.20/0.51	  spl1_8 | spl1_12 | spl1_14 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f206,f245,f275,f267,f252])).
0.20/0.51	tff(f287,plain,(
0.20/0.51	  spl1_16 <=> (sK0 @ sK8 @ sK4 = $false)),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
0.20/0.51	tff(f288,plain,(
0.20/0.51	  (sK0 @ sK8 @ sK4 = $false) | ~spl1_16),
0.20/0.51	  inference(avatar_component_clause,[],[f287])).
0.20/0.51	tff(f289,plain,(
0.20/0.51	  spl1_0 | spl1_2 | spl1_16 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f199,f245,f287,f233,f227])).
0.20/0.51	tff(f290,plain,(
0.20/0.51	  spl1_8 | spl1_2 | spl1_16 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f200,f245,f287,f233,f252])).
0.20/0.51	tff(f291,plain,(
0.20/0.51	  spl1_0 | spl1_10 | spl1_16 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f197,f245,f287,f259,f227])).
0.20/0.51	tff(f292,plain,(
0.20/0.51	  spl1_8 | spl1_10 | spl1_16 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f198,f245,f287,f259,f252])).
0.20/0.51	tff(f293,plain,(
0.20/0.51	  spl1_0 | spl1_12 | spl1_16 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f193,f245,f287,f267,f227])).
0.20/0.51	tff(f294,plain,(
0.20/0.51	  spl1_8 | spl1_12 | spl1_16 | spl1_6),
0.20/0.51	  inference(avatar_split_clause,[],[f194,f245,f287,f267,f252])).
0.20/0.51	tff(f296,plain,(
0.20/0.51	  spl1_18 <=> ! [X1,X3,X5] : ((sK0 @ X5 @ X3 = $false) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X5 @ X1 = $true))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_18])])).
0.20/0.51	tff(f297,plain,(
0.20/0.51	  ( ! [X5,X3,X1] : ((sK0 @ X5 @ X3 = $false) | (sK0 @ X3 @ X1 = $false) | (sK0 @ X5 @ X1 = $true)) ) | ~spl1_18),
0.20/0.51	  inference(avatar_component_clause,[],[f296])).
0.20/0.51	tff(f299,plain,(
0.20/0.51	  spl1_20 <=> ! [X2,X4,X6] : ((sK0 @ X6 @ X4 = $false) | (sK0 @ X6 @ X2 = $false) | (sK0 @ X4 @ X2 = $true))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_20])])).
0.20/0.51	tff(f300,plain,(
0.20/0.51	  ( ! [X6,X4,X2] : ((sK0 @ X6 @ X4 = $false) | (sK0 @ X6 @ X2 = $false) | (sK0 @ X4 @ X2 = $true)) ) | ~spl1_20),
0.20/0.51	  inference(avatar_component_clause,[],[f299])).
0.20/0.51	tff(f301,plain,(
0.20/0.51	  spl1_18 | spl1_20),
0.20/0.51	  inference(avatar_split_clause,[],[f143,f299,f296])).
0.20/0.51	tff(f303,plain,(
0.20/0.51	  spl1_22 <=> ! [X1,X3] : ((sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true))),
0.20/0.51	  introduced(avatar_definition,[new_symbols(naming,[spl1_22])])).
0.20/0.51	tff(f304,plain,(
0.20/0.51	  ( ! [X3,X1] : ((sK0 @ X3 @ X1 = $false) | (sK0 @ X1 @ X3 = $true)) ) | ~spl1_22),
0.20/0.51	  inference(avatar_component_clause,[],[f303])).
0.20/0.51	tff(f305,plain,(
0.20/0.51	  spl1_22 | spl1_20),
0.20/0.51	  inference(avatar_split_clause,[],[f129,f299,f303])).
0.20/0.51	tff(f314,plain,(
0.20/0.51	  ($false = $true) | ~spl1_6),
0.20/0.51	  inference(superposition,[],[f246,f174])).
0.20/0.51	tff(f318,plain,(
0.20/0.51	  $false | ~spl1_6),
0.20/0.51	  inference(trivial_inequality_removal,[],[f314])).
0.20/0.51	tff(f319,plain,(
0.20/0.51	  ~spl1_6),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f318])).
0.20/0.51	tff(f342,plain,(
0.20/0.51	  ( ! [X0] : (($false = $true) | (sK0 @ sK10 @ X0 = $false) | (sK0 @ sK8 @ X0 = $true)) ) | (~spl1_4 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f240,f300])).
0.20/0.51	tff(f345,plain,(
0.20/0.51	  ( ! [X0] : ((sK0 @ sK10 @ X0 = $false) | (sK0 @ sK8 @ X0 = $true)) ) | (~spl1_4 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f342])).
0.20/0.51	tff(f361,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK8 @ sK4 = $true) | (~spl1_4 | ~spl1_14 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f276,f345])).
0.20/0.51	tff(f366,plain,(
0.20/0.51	  (sK0 @ sK8 @ sK4 = $true) | (~spl1_4 | ~spl1_14 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f361])).
0.20/0.51	tff(f375,plain,(
0.20/0.51	  ($false = $true) | (~spl1_4 | ~spl1_14 | ~spl1_16 | ~spl1_20)),
0.20/0.51	  inference(forward_demodulation,[],[f366,f288])).
0.20/0.51	tff(f376,plain,(
0.20/0.51	  $false | (~spl1_4 | ~spl1_14 | ~spl1_16 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f375])).
0.20/0.51	tff(f377,plain,(
0.20/0.51	  ~spl1_4 | ~spl1_14 | ~spl1_16 | ~spl1_20),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f376])).
0.20/0.51	tff(f380,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK4 @ sK10 = $true) | (~spl1_14 | ~spl1_22)),
0.20/0.51	  inference(superposition,[],[f304,f276])).
0.20/0.51	tff(f390,plain,(
0.20/0.51	  (sK0 @ sK4 @ sK10 = $true) | (~spl1_14 | ~spl1_22)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f380])).
0.20/0.51	tff(f411,plain,(
0.20/0.51	  ( ! [X0] : (($false = $true) | (sK0 @ sK10 @ X0 = $false) | (sK0 @ sK4 @ X0 = $true)) ) | (~spl1_14 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(superposition,[],[f390,f297])).
0.20/0.51	tff(f418,plain,(
0.20/0.51	  ( ! [X0] : ((sK0 @ sK10 @ X0 = $false) | (sK0 @ sK4 @ X0 = $true)) ) | (~spl1_14 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f411])).
0.20/0.51	tff(f462,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK4 @ sK8 = $true) | (~spl1_4 | ~spl1_14 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(superposition,[],[f418,f240])).
0.20/0.51	tff(f485,plain,(
0.20/0.51	  (sK0 @ sK4 @ sK8 = $true) | (~spl1_4 | ~spl1_14 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f462])).
0.20/0.51	tff(f490,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK8 @ sK4 = $true) | (~spl1_4 | ~spl1_14 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(superposition,[],[f304,f485])).
0.20/0.51	tff(f491,plain,(
0.20/0.51	  (sK0 @ sK8 @ sK4 = $true) | (~spl1_4 | ~spl1_14 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f490])).
0.20/0.51	tff(f498,plain,(
0.20/0.51	  ($false = $true) | (~spl1_4 | ~spl1_14 | ~spl1_16 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(forward_demodulation,[],[f491,f288])).
0.20/0.51	tff(f499,plain,(
0.20/0.51	  $false | (~spl1_4 | ~spl1_14 | ~spl1_16 | ~spl1_18 | ~spl1_22)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f498])).
0.20/0.51	tff(f500,plain,(
0.20/0.51	  ~spl1_4 | ~spl1_14 | ~spl1_16 | ~spl1_18 | ~spl1_22),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f499])).
0.20/0.51	tff(f505,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK2 @ sK6 = $true) | (~spl1_0 | ~spl1_22)),
0.20/0.51	  inference(superposition,[],[f304,f228])).
0.20/0.51	tff(f506,plain,(
0.20/0.51	  (sK0 @ sK2 @ sK6 = $true) | (~spl1_0 | ~spl1_22)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f505])).
0.20/0.51	tff(f513,plain,(
0.20/0.51	  ($false = $true) | (~spl1_0 | ~spl1_8 | ~spl1_22)),
0.20/0.51	  inference(forward_demodulation,[],[f506,f253])).
0.20/0.51	tff(f514,plain,(
0.20/0.51	  $false | (~spl1_0 | ~spl1_8 | ~spl1_22)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f513])).
0.20/0.51	tff(f515,plain,(
0.20/0.51	  ~spl1_0 | ~spl1_8 | ~spl1_22),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f514])).
0.20/0.51	tff(f521,plain,(
0.20/0.51	  ( ! [X0] : (($false = $true) | (sK0 @ sK7 @ X0 = $false) | (sK0 @ sK9 @ X0 = $true)) ) | (~spl1_2 | ~spl1_18)),
0.20/0.51	  inference(superposition,[],[f234,f297])).
0.20/0.51	tff(f528,plain,(
0.20/0.51	  ( ! [X0] : ((sK0 @ sK9 @ X0 = $true) | (sK0 @ sK7 @ X0 = $false)) ) | (~spl1_2 | ~spl1_18)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f521])).
0.20/0.51	tff(f561,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK7 @ sK3 = $false) | (~spl1_2 | ~spl1_12 | ~spl1_18)),
0.20/0.51	  inference(superposition,[],[f528,f268])).
0.20/0.51	tff(f572,plain,(
0.20/0.51	  (sK0 @ sK7 @ sK3 = $false) | (~spl1_2 | ~spl1_12 | ~spl1_18)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f561])).
0.20/0.51	tff(f573,plain,(
0.20/0.51	  ($false = $true) | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_18)),
0.20/0.51	  inference(backward_demodulation,[],[f572,f260])).
0.20/0.51	tff(f574,plain,(
0.20/0.51	  $false | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_18)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f573])).
0.20/0.51	tff(f575,plain,(
0.20/0.51	  ~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_18),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f574])).
0.20/0.51	tff(f587,plain,(
0.20/0.51	  ( ! [X9] : (($false = $true) | (sK0 @ sK9 @ X9 = $false) | (sK0 @ sK7 @ X9 = $true)) ) | (~spl1_2 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f300,f234])).
0.20/0.51	tff(f603,plain,(
0.20/0.51	  ( ! [X9] : ((sK0 @ sK9 @ X9 = $false) | (sK0 @ sK7 @ X9 = $true)) ) | (~spl1_2 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f587])).
0.20/0.51	tff(f607,plain,(
0.20/0.51	  ( ! [X0] : (($false = $true) | (sK0 @ sK6 @ X0 = $false) | (sK0 @ sK2 @ X0 = $true)) ) | (~spl1_0 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f228,f300])).
0.20/0.51	tff(f614,plain,(
0.20/0.51	  ( ! [X0] : ((sK0 @ sK6 @ X0 = $false) | (sK0 @ sK2 @ X0 = $true)) ) | (~spl1_0 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f607])).
0.20/0.51	tff(f630,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK7 @ sK9 = $true) | (~spl1_2 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f603,f174])).
0.20/0.51	tff(f641,plain,(
0.20/0.51	  (sK0 @ sK7 @ sK9 = $true) | (~spl1_2 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f630])).
0.20/0.51	tff(f647,plain,(
0.20/0.51	  ( ! [X0] : (($false = $true) | (sK0 @ sK7 @ X0 = $false) | (sK0 @ sK9 @ X0 = $true)) ) | (~spl1_2 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f300,f641])).
0.20/0.51	tff(f650,plain,(
0.20/0.51	  ( ! [X0] : ((sK0 @ sK9 @ X0 = $true) | (sK0 @ sK7 @ X0 = $false)) ) | (~spl1_2 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f647])).
0.20/0.51	tff(f659,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK2 @ sK6 = $true) | (~spl1_0 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f174,f614])).
0.20/0.51	tff(f662,plain,(
0.20/0.51	  (sK0 @ sK2 @ sK6 = $true) | (~spl1_0 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f659])).
0.20/0.51	tff(f672,plain,(
0.20/0.51	  ($false = $true) | (~spl1_0 | ~spl1_8 | ~spl1_20)),
0.20/0.51	  inference(forward_demodulation,[],[f662,f253])).
0.20/0.51	tff(f673,plain,(
0.20/0.51	  $false | (~spl1_0 | ~spl1_8 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f672])).
0.20/0.51	tff(f674,plain,(
0.20/0.51	  ~spl1_0 | ~spl1_8 | ~spl1_20),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f673])).
0.20/0.51	tff(f735,plain,(
0.20/0.51	  ($false = $true) | (sK0 @ sK7 @ sK3 = $false) | (~spl1_2 | ~spl1_12 | ~spl1_20)),
0.20/0.51	  inference(superposition,[],[f650,f268])).
0.20/0.51	tff(f746,plain,(
0.20/0.51	  (sK0 @ sK7 @ sK3 = $false) | (~spl1_2 | ~spl1_12 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f735])).
0.20/0.51	tff(f747,plain,(
0.20/0.51	  ($false = $true) | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_20)),
0.20/0.51	  inference(backward_demodulation,[],[f746,f260])).
0.20/0.51	tff(f748,plain,(
0.20/0.51	  $false | (~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_20)),
0.20/0.51	  inference(trivial_inequality_removal,[],[f747])).
0.20/0.51	tff(f749,plain,(
0.20/0.51	  ~spl1_2 | ~spl1_10 | ~spl1_12 | ~spl1_20),
0.20/0.51	  inference(avatar_contradiction_clause,[],[f748])).
0.20/0.51	% (31675)Refutation not found, incomplete strategy
0.20/0.51	% (31675)------------------------------
0.20/0.51	% (31675)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.51	% (31675)Termination reason: Refutation not found, incomplete strategy
0.20/0.51	
0.20/0.51	% (31675)Memory used [KB]: 10490
0.20/0.51	% (31675)Time elapsed: 0.155 s
0.20/0.51	% (31675)------------------------------
0.20/0.51	% (31675)------------------------------
0.20/0.51	tff(f750,plain,(
0.20/0.51	  $false),
0.20/0.51	  inference(avatar_sat_refutation,[],[f247,f254,f261,f262,f269,f270,f277,f278,f279,f280,f281,f282,f289,f290,f291,f292,f293,f294,f301,f305,f319,f377,f500,f515,f575,f674,f749])).
0.20/0.51	% SZS output end Proof for theBenchmark
0.20/0.51	% (31688)------------------------------
0.20/0.51	% (31688)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.51	% (31688)Termination reason: Refutation
0.20/0.51	
0.20/0.51	% (31688)Memory used [KB]: 10362
0.20/0.51	% (31688)Time elapsed: 0.119 s
0.20/0.51	% (31688)------------------------------
0.20/0.51	% (31688)------------------------------
0.20/0.52	% (31664)Success in time 0.17 s
0.20/0.52	EOF