0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d
0.10/0.33	% Computer   : n018.cluster.edu
0.10/0.33	% Model      : x86_64 x86_64
0.10/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.33	% Memory     : 8042.1875MB
0.10/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.33	% CPULimit   : 960
0.10/0.33	% WCLimit    : 120
0.10/0.33	% DateTime   : Thu Jul  2 07:13:52 EDT 2020
0.10/0.33	% CPUTime    : 
0.10/0.35	% (18236)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
0.10/0.36	% (18235)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
0.10/0.36	% (18234)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
0.10/0.37	% (18255)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
0.10/0.37	% (18238)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
0.10/0.37	% (18241)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
0.10/0.37	% (18239)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
0.10/0.37	% (18230)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
0.10/0.37	% (18233)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
0.10/0.37	% (18250)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
0.10/0.37	% (18254)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
0.10/0.38	% (18231)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
0.16/0.38	% (18237)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
0.16/0.38	% (18246)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	% (18242)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
0.16/0.38	% (18243)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
0.16/0.38	% (18256)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
0.16/0.38	% (18247)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
0.16/0.38	% (18248)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
0.16/0.39	% (18249)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
0.16/0.39	% (18258)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
0.16/0.39	% (18257)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
0.16/0.39	% (18253)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
0.16/0.39	% (18251)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
0.16/0.39	% (18240)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
0.16/0.40	% (18252)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
0.16/0.40	% (18245)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
0.16/0.40	% (18259)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
0.16/0.41	% (18232)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
0.16/0.42	% (18242)Refutation found. Thanks to Tanya!
0.16/0.42	% SZS status Theorem for theBenchmark
0.16/0.43	% (18240)Refutation not found, incomplete strategy
0.16/0.43	% (18240)------------------------------
0.16/0.43	% (18240)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.16/0.43	% (18240)Termination reason: Refutation not found, incomplete strategy
0.16/0.43	
0.16/0.43	% (18240)Memory used [KB]: 9978
0.16/0.43	% (18240)Time elapsed: 0.059 s
0.16/0.43	% (18240)------------------------------
0.16/0.43	% (18240)------------------------------
0.16/0.44	% SZS output start Proof for theBenchmark
0.16/0.44	tff(func_def_0, type, num: '$tType').
0.16/0.44	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.16/0.44	tff(func_def_5, type, holdsDuring_THFTYPE_IiooI: '$i' -> '$o' -> '$o').
0.16/0.44	tff(func_def_12, type, lYearFn_THFTYPE_IiiI: '$i' -> '$i').
0.16/0.44	tff(func_def_13, type, likes_THFTYPE_IiioI: '$i' -> '$i' -> '$o').
0.16/0.44	tff(func_def_15, type, parent_THFTYPE_IiioI: '$i' -> '$i' -> '$o').
0.16/0.44	tff(func_def_16, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.16/0.44	tff(func_def_17, type, vNOT: '$o' -> '$o').
0.16/0.44	tff(func_def_18, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.16/0.44	tff(func_def_19, type, vAND: '$o' -> '$o' -> '$o').
0.16/0.44	tff(func_def_20, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
0.16/0.44	tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.16/0.44	tff(func_def_22, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.16/0.44	tff(func_def_26, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.16/0.44	tff(func_def_27, type, vOR: '$o' -> '$o' -> '$o').
0.16/0.44	tff(func_def_28, type, vIMP: '$o' -> '$o' -> '$o').
0.16/0.44	tff(func_def_29, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.16/0.44	tff(func_def_30, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.16/0.44	tff(func_def_31, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.16/0.44	tff(func_def_32, type, sK1: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_33, type, sK2: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_34, type, sK3: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_35, type, sK4: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_36, type, sK5: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_37, type, sK6: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_38, type, sK7: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_39, type, sK8: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_40, type, sK9: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_41, type, sK10: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_42, type, sK11: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_43, type, sK12: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_44, type, sK13: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_45, type, sK14: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_46, type, sK15: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(func_def_47, type, sK16: ('$i' -> '$i' -> '$o') -> '$i').
0.16/0.44	tff(f3,axiom,(
0.16/0.44	  holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
0.16/0.44	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004)).
0.16/0.44	tff(f5,axiom,(
0.16/0.44	  holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
0.16/0.44	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
0.16/0.44	tff(f6,conjecture,(
0.16/0.44	  ? [X0 : '$i' -> '$i' -> '$o'] : holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i & vNOT @ ! [X1,X2] : X0 @ X1 @ X2 & X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i),
0.16/0.44	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
0.16/0.44	tff(f7,negated_conjecture,(
0.16/0.44	  ~? [X0 : '$i' -> '$i' -> '$o'] : holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i & vNOT @ ! [X1,X2] : X0 @ X1 @ X2 & X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i),
0.16/0.44	  inference(negated_conjecture,[],[f6])).
0.16/0.44	tff(f10,axiom,(
0.16/0.44	  holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vNOT @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))),
0.16/0.44	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007)).
0.16/0.44	tff(f11,plain,(
0.16/0.44	  ~? [X0 : '$i' -> '$i' -> '$o'] : holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i & vNOT @ ! [X1,X2] : X0 @ X1 @ X2 & X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i),
0.16/0.44	  inference(rectify,[],[f7])).
0.16/0.44	% (18244)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
0.16/0.44	tff(f12,plain,(
0.16/0.44	  ~? [X0 : '$i' -> '$i' -> '$o'] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X0))))) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
0.16/0.44	  inference(fool_elimination,[],[f11])).
0.16/0.44	tff(f23,plain,(
0.16/0.44	  holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
0.16/0.44	  inference(rectify,[],[f3])).
0.16/0.44	tff(f24,plain,(
0.16/0.44	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
0.16/0.44	  inference(fool_elimination,[],[f23])).
0.16/0.44	tff(f25,plain,(
0.16/0.44	  holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
0.16/0.44	  inference(rectify,[],[f5])).
0.16/0.44	tff(f26,plain,(
0.16/0.44	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
0.16/0.44	  inference(fool_elimination,[],[f25])).
0.16/0.44	tff(f27,plain,(
0.16/0.44	  holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vNOT @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))),
0.16/0.44	  inference(rectify,[],[f10])).
0.16/0.44	tff(f28,plain,(
0.16/0.44	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vNOT @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)),
0.16/0.44	  inference(fool_elimination,[],[f27])).
0.16/0.44	tff(f29,plain,(
0.16/0.44	  ! [X0 : '$i' -> '$i' -> '$o'] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X0))))) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) != $true)),
0.16/0.44	  inference(ennf_transformation,[],[f12])).
0.16/0.44	tff(f30,plain,(
0.16/0.44	  ( ! [X0:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X0))))) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) != $true)) )),
0.16/0.44	  inference(cnf_transformation,[],[f29])).
0.16/0.44	tff(f36,plain,(
0.16/0.44	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
0.16/0.44	  inference(cnf_transformation,[],[f24])).
0.16/0.44	tff(f37,plain,(
0.16/0.44	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
0.16/0.44	  inference(cnf_transformation,[],[f26])).
0.16/0.44	tff(f38,plain,(
0.16/0.44	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vNOT @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)),
0.16/0.44	  inference(cnf_transformation,[],[f28])).
0.16/0.44	tff(f63,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : (($true != $true) | (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i != vAND @ (vAND @ (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X5))))) @ (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) )),
0.16/0.44	  inference(superposition,[],[f30,f36])).
0.16/0.44	tff(f64,plain,(
0.16/0.44	  ( ! [X6:'$i' -> '$i' -> '$o'] : (($true != $true) | (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != vAND @ (vAND @ (X6 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X6))))) @ (X6 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) )),
0.16/0.44	  inference(superposition,[],[f30,f37])).
0.16/0.44	tff(f65,plain,(
0.16/0.44	  ( ! [X7:'$i' -> '$i' -> '$o'] : (($true != $true) | (vNOT @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) != vAND @ (vAND @ (X7 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X7))))) @ (X7 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) )),
0.16/0.44	  inference(superposition,[],[f30,f38])).
0.16/0.44	tff(f66,plain,(
0.16/0.44	  ( ! [X7:'$i' -> '$i' -> '$o'] : ((vNOT @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) != vAND @ (vAND @ (X7 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X7))))) @ (X7 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) )),
0.16/0.44	  inference(trivial_inequality_removal,[],[f65])).
0.16/0.44	tff(f67,plain,(
0.16/0.44	  ( ! [X7:'$i' -> '$i' -> '$o'] : ((vNOT @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $true) | (vAND @ (vAND @ (X7 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X7))))) @ (X7 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f66])).
0.16/0.44	tff(f77,plain,(
0.16/0.44	  ( ! [X7:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i = $false) | (vAND @ (vAND @ (X7 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X7))))) @ (X7 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)) )),
0.16/0.44	  inference(not_proxy_clausification,[],[f67])).
0.16/0.44	tff(f79,plain,(
0.16/0.44	  ( ! [X7:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i = $false) | (X7 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f77])).
0.16/0.44	tff(f87,plain,(
0.16/0.44	  ( ! [X6:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != vAND @ (vAND @ (X6 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X6))))) @ (X6 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) )),
0.16/0.44	  inference(trivial_inequality_removal,[],[f64])).
0.16/0.44	tff(f88,plain,(
0.16/0.44	  ( ! [X6:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true) | (vAND @ (vAND @ (X6 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X6))))) @ (X6 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f87])).
0.16/0.44	tff(f97,plain,(
0.16/0.44	  ( ! [X6:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true) | (vAND @ (X6 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X6)))) = $true)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f88])).
0.16/0.44	tff(f99,plain,(
0.16/0.44	  ( ! [X6:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true) | (X6 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f97])).
0.16/0.44	tff(f106,plain,(
0.16/0.44	  (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true)),
0.16/0.44	  inference(condensation,[],[f99])).
0.16/0.44	tff(f107,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i != vAND @ (vAND @ (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X5))))) @ (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) )),
0.16/0.44	  inference(trivial_inequality_removal,[],[f63])).
0.16/0.44	tff(f108,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true) | (vAND @ (vAND @ (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X5))))) @ (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f107])).
0.16/0.44	tff(f109,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (vAND @ (vAND @ (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X5))))) @ (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $false)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f107])).
0.16/0.44	tff(f110,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (vAND @ (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) @ (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X5)))) = $false) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f109])).
0.16/0.44	tff(f111,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (vNOT @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X5))) = $false)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f110])).
0.16/0.44	tff(f112,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ X5)) = $true)) )),
0.16/0.44	  inference(not_proxy_clausification,[],[f111])).
0.16/0.44	tff(f113,plain,(
0.16/0.44	  ( ! [X6,X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (bCOMB @ vPI('$i') @ (cCOMB @ X5) @ X6 = $true)) )),
0.16/0.44	  inference(pi_clausification,[],[f112])).
0.16/0.44	tff(f114,plain,(
0.16/0.44	  ( ! [X6,X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (vPI('$i') @ (cCOMB @ X5 @ X6) = $true)) )),
0.16/0.44	  inference(combinator_demodulation,[],[f113])).
0.16/0.44	tff(f115,plain,(
0.16/0.44	  ( ! [X6,X7,X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (cCOMB @ X5 @ X6 @ X7 = $true)) )),
0.16/0.44	  inference(pi_clausification,[],[f114])).
0.16/0.44	tff(f116,plain,(
0.16/0.44	  ( ! [X6,X7,X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X5 @ X7 @ X6 = $true)) )),
0.16/0.44	  inference(combinator_demodulation,[],[f115])).
0.16/0.44	tff(f118,plain,(
0.16/0.44	  ( ! [X5:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true) | (X5 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true)) )),
0.16/0.44	  inference(binary_proxy_clausification,[],[f108])).
0.16/0.44	tff(f119,plain,(
0.16/0.44	  (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true)),
0.16/0.44	  inference(condensation,[],[f118])).
0.16/0.44	tff(f250,plain,(
0.16/0.44	  spl0_6 <=> ! [X0 : '$i' -> '$i' -> '$o'] : (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true)),
0.16/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.16/0.44	tff(f251,plain,(
0.16/0.44	  ( ! [X0:'$i' -> '$i' -> '$o'] : ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true)) ) | ~spl0_6),
0.16/0.44	  inference(avatar_component_clause,[],[f250])).
0.16/0.44	tff(f254,plain,(
0.16/0.44	  spl0_8 <=> ! [X1,X0 : '$i' -> '$i' -> '$o',X2] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X0 @ X2 @ X1 = $true) | (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false))),
0.16/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
0.16/0.44	tff(f255,plain,(
0.16/0.44	  ( ! [X2,X0:'$i' -> '$i' -> '$o',X1] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | (X0 @ X2 @ X1 = $true) | (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false)) ) | ~spl0_8),
0.16/0.44	  inference(avatar_component_clause,[],[f254])).
0.16/0.44	tff(f343,plain,(
0.16/0.44	  spl0_36 <=> (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true)),
0.16/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_36])])).
0.16/0.44	tff(f344,plain,(
0.16/0.44	  (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $true) | ~spl0_36),
0.16/0.44	  inference(avatar_component_clause,[],[f343])).
0.16/0.44	tff(f350,plain,(
0.16/0.44	  spl0_36),
0.16/0.44	  inference(avatar_split_clause,[],[f119,f343])).
0.16/0.44	tff(f355,plain,(
0.16/0.44	  spl0_40 <=> (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false)),
0.16/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_40])])).
0.16/0.44	tff(f356,plain,(
0.16/0.44	  (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false) | ~spl0_40),
0.16/0.44	  inference(avatar_component_clause,[],[f355])).
0.16/0.44	tff(f357,plain,(
0.16/0.44	  spl0_8 | spl0_40),
0.16/0.44	  inference(avatar_split_clause,[],[f116,f355,f254])).
0.16/0.44	tff(f365,plain,(
0.16/0.44	  spl0_44 <=> (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true)),
0.16/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_44])])).
0.16/0.44	tff(f366,plain,(
0.16/0.44	  (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true) | ~spl0_44),
0.16/0.44	  inference(avatar_component_clause,[],[f365])).
0.16/0.44	tff(f380,plain,(
0.16/0.44	  spl0_48 <=> (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i = $false)),
0.16/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_48])])).
0.16/0.44	tff(f381,plain,(
0.16/0.44	  (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i = $false) | ~spl0_48),
0.16/0.44	  inference(avatar_component_clause,[],[f380])).
0.16/0.44	tff(f387,plain,(
0.16/0.44	  spl0_6 | spl0_48),
0.16/0.44	  inference(avatar_split_clause,[],[f79,f380,f250])).
0.16/0.44	tff(f395,plain,(
0.16/0.44	  spl0_44),
0.16/0.44	  inference(avatar_split_clause,[],[f106,f365])).
0.16/0.44	tff(f403,plain,(
0.16/0.44	  ( ! [X9:'$i' -> '$o'] : ((X9 @ lBill_THFTYPE_i = $true)) ) | ~spl0_6),
0.16/0.44	  inference(narrow,[],[f251])).
0.16/0.44	tff(f414,plain,(
0.16/0.44	  (kCOMB @ $false @ lBill_THFTYPE_i = $true) | ~spl0_6),
0.16/0.44	  inference(primitive_instantiation,[],[f403])).
0.16/0.44	tff(f423,plain,(
0.16/0.44	  ($false = $true) | ~spl0_6),
0.16/0.44	  inference(combinator_demodulation,[],[f414])).
0.16/0.44	tff(f424,plain,(
0.16/0.44	  $false | ~spl0_6),
0.16/0.44	  inference(trivial_inequality_removal,[],[f423])).
0.16/0.44	tff(f425,plain,(
0.16/0.44	  ~spl0_6),
0.16/0.44	  inference(avatar_contradiction_clause,[],[f424])).
0.16/0.44	tff(f463,plain,(
0.16/0.44	  ( ! [X0,X1] : (($false = $true) | (likes_THFTYPE_IiioI @ X0 @ X1 = $true) | (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false)) ) | (~spl0_8 | ~spl0_44)),
0.16/0.44	  inference(superposition,[],[f366,f255])).
0.16/0.44	tff(f465,plain,(
0.16/0.44	  ( ! [X0,X1] : ((likes_THFTYPE_IiioI @ X0 @ X1 = $true) | (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i = $false)) ) | (~spl0_8 | ~spl0_44)),
0.16/0.44	  inference(trivial_inequality_removal,[],[f463])).
0.16/0.44	tff(f493,plain,(
0.16/0.44	  spl0_60 <=> ! [X1,X0] : (likes_THFTYPE_IiioI @ X0 @ X1 = $true)),
0.16/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_60])])).
0.16/0.44	tff(f494,plain,(
0.16/0.44	  ( ! [X0,X1] : ((likes_THFTYPE_IiioI @ X0 @ X1 = $true)) ) | ~spl0_60),
0.16/0.44	  inference(avatar_component_clause,[],[f493])).
0.16/0.44	tff(f496,plain,(
0.16/0.44	  spl0_40 | spl0_60 | ~spl0_8 | ~spl0_44),
0.16/0.44	  inference(avatar_split_clause,[],[f465,f365,f254,f493,f355])).
0.16/0.44	tff(f509,plain,(
0.16/0.44	  ($false = $true) | (~spl0_36 | ~spl0_40)),
0.16/0.44	  inference(backward_demodulation,[],[f356,f344])).
0.16/0.44	tff(f510,plain,(
0.16/0.44	  $false | (~spl0_36 | ~spl0_40)),
0.16/0.44	  inference(trivial_inequality_removal,[],[f509])).
0.16/0.44	tff(f511,plain,(
0.16/0.44	  ~spl0_36 | ~spl0_40),
0.16/0.44	  inference(avatar_contradiction_clause,[],[f510])).
0.16/0.44	tff(f517,plain,(
0.16/0.44	  ($false = $true) | (~spl0_48 | ~spl0_60)),
0.16/0.44	  inference(superposition,[],[f494,f381])).
0.16/0.44	tff(f524,plain,(
0.16/0.44	  $false | (~spl0_48 | ~spl0_60)),
0.16/0.44	  inference(trivial_inequality_removal,[],[f517])).
0.16/0.44	tff(f525,plain,(
0.16/0.44	  ~spl0_48 | ~spl0_60),
0.16/0.44	  inference(avatar_contradiction_clause,[],[f524])).
0.16/0.44	tff(f527,plain,(
0.16/0.44	  $false),
0.16/0.44	  inference(avatar_sat_refutation,[],[f350,f357,f387,f395,f425,f496,f511,f525])).
0.16/0.44	% SZS output end Proof for theBenchmark
0.16/0.44	% (18242)------------------------------
0.16/0.44	% (18242)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.16/0.44	% (18242)Termination reason: Refutation
0.16/0.44	
0.16/0.44	% (18242)Memory used [KB]: 5628
0.16/0.44	% (18242)Time elapsed: 0.065 s
0.16/0.44	% (18242)------------------------------
0.16/0.44	% (18242)------------------------------
0.16/0.44	% (18229)Success in time 0.105 s
0.16/0.44	EOF