0.05/0.15	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.16	% Command    : run_vampire %s %d
0.17/0.38	% Computer   : n027.cluster.edu
0.17/0.38	% Model      : x86_64 x86_64
0.17/0.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.38	% Memory     : 8042.1875MB
0.17/0.38	% OS         : Linux 3.10.0-693.el7.x86_64
0.17/0.38	% CPULimit   : 1200
0.17/0.38	% WCLimit    : 120
0.17/0.38	% DateTime   : Tue Jul 13 11:14:40 EDT 2021
0.17/0.38	% CPUTime    : 
0.17/0.38	This is a THF_ problem
0.17/0.39	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.17/0.39	Running in auto input_syntax mode. Trying TPTP
0.24/0.40	% (24003)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_3 on theBenchmark
0.24/0.40	% (24003)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.24/0.43	% (24003)First to succeed.
0.24/0.43	% (24003)Refutation found. Thanks to Tanya!
0.24/0.43	% SZS status Theorem for theBenchmark
0.24/0.43	% SZS output start Proof for theBenchmark
0.24/0.43	thf(type_def_6, type, >: ($tType * $tType) > $tType).
0.24/0.43	thf(func_def_7, type, cG: $o > $o).
0.24/0.43	thf(func_def_8, type, cF: $o > $o).
0.24/0.43	thf(func_def_9, type, cP: ($o > $o) > $o).
0.24/0.43	thf(func_def_11, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.24/0.43	thf(func_def_14, type, vOR: $o > $o > $o).
0.24/0.43	thf(func_def_15, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.24/0.43	thf(func_def_16, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.24/0.43	thf(func_def_17, type, vNOT: $o > $o).
0.24/0.43	thf(func_def_19, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.24/0.43	thf(func_def_20, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.24/0.43	thf(func_def_21, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.24/0.43	thf(f223,plain,(
0.24/0.43	  $false),
0.24/0.43	  inference(avatar_sat_refutation,[],[f33,f43,f46,f69,f89,f111,f114,f124,f155,f163,f165,f172,f177,f187,f196,f219])).
0.24/0.43	thf(f219,plain,(
0.24/0.43	  ~spl0_5 | ~spl0_11 | ~spl0_13),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f218])).
0.24/0.43	thf(f218,plain,(
0.24/0.43	  $false | (~spl0_5 | ~spl0_11 | ~spl0_13)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f217])).
0.24/0.43	thf(f217,plain,(
0.24/0.43	  ($true = $false) | (~spl0_5 | ~spl0_11 | ~spl0_13)),
0.24/0.43	  inference(forward_demodulation,[],[f216,f210])).
0.24/0.43	thf(f210,plain,(
0.24/0.43	  ($false = (cG @ $false)) | ~spl0_13),
0.24/0.43	  inference(backward_demodulation,[],[f77,f138])).
0.24/0.43	thf(f138,plain,(
0.24/0.43	  ($false = sK3) | ~spl0_13),
0.24/0.43	  inference(avatar_component_clause,[],[f136])).
0.24/0.43	thf(f136,plain,(
0.24/0.43	  spl0_13 <=> ($false = sK3)),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
0.24/0.43	thf(f77,plain,(
0.24/0.43	  ($false = (cG @ sK3))),
0.24/0.43	  inference(duplicate_literal_removal,[],[f74])).
0.24/0.43	thf(f74,plain,(
0.24/0.43	  ($false = (cG @ sK3)) | ($false = (cG @ sK3))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f73])).
0.24/0.43	thf(f73,plain,(
0.24/0.43	  ($false = (cG @ sK3)) | ($false = ((vOR @ (vNOT @ (cF @ sK3))) @ (cG @ sK3)))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f71])).
0.24/0.43	thf(f71,plain,(
0.24/0.43	  ((cG @ sK3) != ((vOR @ (vNOT @ (cF @ sK3))) @ (cG @ sK3)))),
0.24/0.43	  inference(combinator_demodulation,[],[f70])).
0.24/0.43	thf(f70,plain,(
0.24/0.43	  ((cG @ sK3) != (((sCOMB @ ((bCOMB @ vOR) @ ((bCOMB @ vNOT) @ cF))) @ cG) @ sK3))),
0.24/0.43	  inference(negative_extensionality,[],[f50])).
0.24/0.43	thf(f50,plain,(
0.24/0.43	  (cG != ((sCOMB @ ((bCOMB @ vOR) @ ((bCOMB @ vNOT) @ cF))) @ cG))),
0.24/0.43	  inference(trivial_inequality_removal,[],[f49])).
0.24/0.43	thf(f49,plain,(
0.24/0.43	  ($true != $true) | (cG != ((sCOMB @ ((bCOMB @ vOR) @ ((bCOMB @ vNOT) @ cF))) @ cG))),
0.24/0.43	  inference(constrained_superposition,[],[f11,f9])).
0.24/0.43	thf(f9,plain,(
0.24/0.43	  ((cP @ cG) = $true)),
0.24/0.43	  inference(cnf_transformation,[],[f7])).
0.24/0.43	thf(f7,plain,(
0.24/0.43	  ($true != (cP @ ((sCOMB @ ((bCOMB @ vOR) @ ((bCOMB @ vNOT) @ cF))) @ cG))) & ($true != (cP @ ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF))) & ((cP @ cG) = $true) & ((cP @ cF) = $true)),
0.24/0.43	  inference(flattening,[],[f6])).
0.24/0.43	thf(f6,plain,(
0.24/0.43	  (($true != (cP @ ((sCOMB @ ((bCOMB @ vOR) @ ((bCOMB @ vNOT) @ cF))) @ cG))) & ($true != (cP @ ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF)))) & (((cP @ cG) = $true) & ((cP @ cF) = $true))),
0.24/0.43	  inference(ennf_transformation,[],[f5])).
0.24/0.43	thf(f5,plain,(
0.24/0.43	  ~((((cP @ cG) = $true) & ((cP @ cF) = $true)) => (($true = (cP @ ((sCOMB @ ((bCOMB @ vOR) @ ((bCOMB @ vNOT) @ cF))) @ cG))) | ($true = (cP @ ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF)))))),
0.24/0.43	  inference(fool_elimination,[],[f4])).
0.24/0.43	thf(f4,plain,(
0.24/0.43	  ~(((cP @ cG) & (cP @ cF)) => ((cP @ (^[X0 : $o] : ((cG @ X0) | ~(cF @ X0)))) | (cP @ (^[X1 : $o] : ((cF @ X1) | (cG @ X1))))))),
0.24/0.43	  inference(rectify,[],[f2])).
0.24/0.43	thf(f2,negated_conjecture,(
0.24/0.43	  ~(((cP @ cG) & (cP @ cF)) => ((cP @ (^[X0 : $o] : ((cG @ X0) | ~(cF @ X0)))) | (cP @ (^[X0 : $o] : ((cF @ X0) | (cG @ X0))))))),
0.24/0.43	  inference(negated_conjecture,[],[f1])).
0.24/0.43	thf(f1,conjecture,(
0.24/0.43	  ((cP @ cG) & (cP @ cF)) => ((cP @ (^[X0 : $o] : ((cG @ X0) | ~(cF @ X0)))) | (cP @ (^[X0 : $o] : ((cF @ X0) | (cG @ X0)))))),
0.24/0.43	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM627)).
0.24/0.43	thf(f11,plain,(
0.24/0.43	  ($true != (cP @ ((sCOMB @ ((bCOMB @ vOR) @ ((bCOMB @ vNOT) @ cF))) @ cG)))),
0.24/0.43	  inference(cnf_transformation,[],[f7])).
0.24/0.43	thf(f216,plain,(
0.24/0.43	  ($true = (cG @ $false)) | (~spl0_5 | ~spl0_11)),
0.24/0.43	  inference(backward_demodulation,[],[f64,f106])).
0.24/0.43	thf(f106,plain,(
0.24/0.43	  ($false = sK2) | ~spl0_11),
0.24/0.43	  inference(avatar_component_clause,[],[f104])).
0.24/0.43	thf(f104,plain,(
0.24/0.43	  spl0_11 <=> ($false = sK2)),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
0.24/0.43	thf(f64,plain,(
0.24/0.43	  ($true = (cG @ sK2)) | ~spl0_5),
0.24/0.43	  inference(avatar_component_clause,[],[f62])).
0.24/0.43	thf(f62,plain,(
0.24/0.43	  spl0_5 <=> ($true = (cG @ sK2))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
0.24/0.43	thf(f196,plain,(
0.24/0.43	  ~spl0_8),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f195])).
0.24/0.43	thf(f195,plain,(
0.24/0.43	  $false | ~spl0_8),
0.24/0.43	  inference(trivial_inequality_removal,[],[f194])).
0.24/0.43	thf(f194,plain,(
0.24/0.43	  ($true = $false) | ~spl0_8),
0.24/0.43	  inference(backward_demodulation,[],[f88,f77])).
0.24/0.43	thf(f88,plain,(
0.24/0.43	  ($true = (cG @ sK3)) | ~spl0_8),
0.24/0.43	  inference(avatar_component_clause,[],[f86])).
0.24/0.43	thf(f86,plain,(
0.24/0.43	  spl0_8 <=> ($true = (cG @ sK3))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
0.24/0.43	thf(f187,plain,(
0.24/0.43	  ~spl0_4 | ~spl0_12 | ~spl0_16),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f186])).
0.24/0.43	thf(f186,plain,(
0.24/0.43	  $false | (~spl0_4 | ~spl0_12 | ~spl0_16)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f185])).
0.24/0.43	thf(f185,plain,(
0.24/0.43	  ($true = $false) | (~spl0_4 | ~spl0_12 | ~spl0_16)),
0.24/0.43	  inference(backward_demodulation,[],[f110,f184])).
0.24/0.43	thf(f184,plain,(
0.24/0.43	  ($false = (cG @ $true)) | (~spl0_4 | ~spl0_16)),
0.24/0.43	  inference(forward_demodulation,[],[f41,f151])).
0.24/0.43	thf(f151,plain,(
0.24/0.43	  ($true = sK1) | ~spl0_16),
0.24/0.43	  inference(avatar_component_clause,[],[f149])).
0.24/0.43	thf(f149,plain,(
0.24/0.43	  spl0_16 <=> ($true = sK1)),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
0.24/0.43	thf(f41,plain,(
0.24/0.43	  ($false = (cG @ sK1)) | ~spl0_4),
0.24/0.43	  inference(avatar_component_clause,[],[f39])).
0.24/0.43	thf(f39,plain,(
0.24/0.43	  spl0_4 <=> ($false = (cG @ sK1))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.24/0.43	thf(f110,plain,(
0.24/0.43	  ($true = (cG @ $true)) | ~spl0_12),
0.24/0.43	  inference(avatar_component_clause,[],[f108])).
0.24/0.43	thf(f108,plain,(
0.24/0.43	  spl0_12 <=> ($true = (cG @ $true))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
0.24/0.43	thf(f177,plain,(
0.24/0.43	  ~spl0_9 | ~spl0_16),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f176])).
0.24/0.43	thf(f176,plain,(
0.24/0.43	  $false | (~spl0_9 | ~spl0_16)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f175])).
0.24/0.43	thf(f175,plain,(
0.24/0.43	  ($true = $false) | (~spl0_9 | ~spl0_16)),
0.24/0.43	  inference(forward_demodulation,[],[f151,f94])).
0.24/0.43	thf(f94,plain,(
0.24/0.43	  ($false = sK1) | ~spl0_9),
0.24/0.43	  inference(avatar_component_clause,[],[f92])).
0.24/0.43	thf(f92,plain,(
0.24/0.43	  spl0_9 <=> ($false = sK1)),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
0.24/0.43	thf(f172,plain,(
0.24/0.43	  ~spl0_12 | ~spl0_15),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f171])).
0.24/0.43	thf(f171,plain,(
0.24/0.43	  $false | (~spl0_12 | ~spl0_15)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f170])).
0.24/0.43	thf(f170,plain,(
0.24/0.43	  ($true = $false) | (~spl0_12 | ~spl0_15)),
0.24/0.43	  inference(forward_demodulation,[],[f110,f159])).
0.24/0.43	thf(f159,plain,(
0.24/0.43	  ($false = (cG @ $true)) | ~spl0_15),
0.24/0.43	  inference(backward_demodulation,[],[f77,f147])).
0.24/0.43	thf(f147,plain,(
0.24/0.43	  ($true = sK3) | ~spl0_15),
0.24/0.43	  inference(avatar_component_clause,[],[f145])).
0.24/0.43	thf(f145,plain,(
0.24/0.43	  spl0_15 <=> ($true = sK3)),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
0.24/0.43	thf(f165,plain,(
0.24/0.43	  spl0_13 | spl0_9 | ~spl0_1 | ~spl0_7),
0.24/0.43	  inference(avatar_split_clause,[],[f134,f82,f26,f92,f136])).
0.24/0.43	thf(f26,plain,(
0.24/0.43	  spl0_1 <=> ($true = (cF @ sK1))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.24/0.43	thf(f82,plain,(
0.24/0.43	  spl0_7 <=> ($false = (cF @ sK3))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
0.24/0.43	thf(f134,plain,(
0.24/0.43	  ($false = sK1) | ($false = sK3) | (~spl0_1 | ~spl0_7)),
0.24/0.43	  inference(binary_proxy_clausification,[],[f132])).
0.24/0.43	thf(f132,plain,(
0.24/0.43	  (sK1 != sK3) | (~spl0_1 | ~spl0_7)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f127])).
0.24/0.43	thf(f127,plain,(
0.24/0.43	  ($true = $false) | (sK1 != sK3) | (~spl0_1 | ~spl0_7)),
0.24/0.43	  inference(constrained_superposition,[],[f84,f28])).
0.24/0.43	thf(f28,plain,(
0.24/0.43	  ($true = (cF @ sK1)) | ~spl0_1),
0.24/0.43	  inference(avatar_component_clause,[],[f26])).
0.24/0.43	thf(f84,plain,(
0.24/0.43	  ($false = (cF @ sK3)) | ~spl0_7),
0.24/0.43	  inference(avatar_component_clause,[],[f82])).
0.24/0.43	thf(f163,plain,(
0.24/0.43	  ~spl0_13 | ~spl0_15),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f162])).
0.24/0.43	thf(f162,plain,(
0.24/0.43	  $false | (~spl0_13 | ~spl0_15)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f161])).
0.24/0.43	thf(f161,plain,(
0.24/0.43	  ($true = $false) | (~spl0_13 | ~spl0_15)),
0.24/0.43	  inference(backward_demodulation,[],[f147,f138])).
0.24/0.43	thf(f155,plain,(
0.24/0.43	  spl0_15 | spl0_16 | ~spl0_1 | ~spl0_7),
0.24/0.43	  inference(avatar_split_clause,[],[f130,f82,f26,f149,f145])).
0.24/0.43	thf(f130,plain,(
0.24/0.43	  ($true = sK1) | ($true = sK3) | (~spl0_1 | ~spl0_7)),
0.24/0.43	  inference(binary_proxy_clausification,[],[f129])).
0.24/0.43	thf(f129,plain,(
0.24/0.43	  (sK1 != sK3) | (~spl0_1 | ~spl0_7)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f128])).
0.24/0.43	thf(f128,plain,(
0.24/0.43	  ($true = $false) | (sK1 != sK3) | (~spl0_1 | ~spl0_7)),
0.24/0.43	  inference(constrained_superposition,[],[f28,f84])).
0.24/0.43	thf(f124,plain,(
0.24/0.43	  ~spl0_4 | ~spl0_5 | ~spl0_9 | ~spl0_11),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f123])).
0.24/0.43	thf(f123,plain,(
0.24/0.43	  $false | (~spl0_4 | ~spl0_5 | ~spl0_9 | ~spl0_11)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f122])).
0.24/0.43	thf(f122,plain,(
0.24/0.43	  ($true = $false) | (~spl0_4 | ~spl0_5 | ~spl0_9 | ~spl0_11)),
0.24/0.43	  inference(forward_demodulation,[],[f121,f101])).
0.24/0.43	thf(f101,plain,(
0.24/0.43	  ($false = (cG @ $false)) | (~spl0_4 | ~spl0_9)),
0.24/0.43	  inference(backward_demodulation,[],[f41,f94])).
0.24/0.43	thf(f121,plain,(
0.24/0.43	  ($true = (cG @ $false)) | (~spl0_5 | ~spl0_11)),
0.24/0.43	  inference(forward_demodulation,[],[f64,f106])).
0.24/0.43	thf(f114,plain,(
0.24/0.43	  ~spl0_6),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f113])).
0.24/0.43	thf(f113,plain,(
0.24/0.43	  $false | ~spl0_6),
0.24/0.43	  inference(trivial_inequality_removal,[],[f112])).
0.24/0.43	thf(f112,plain,(
0.24/0.43	  ($true = $false) | ~spl0_6),
0.24/0.43	  inference(forward_demodulation,[],[f68,f58])).
0.24/0.43	thf(f58,plain,(
0.24/0.43	  ($false = (cF @ sK2))),
0.24/0.43	  inference(duplicate_literal_removal,[],[f56])).
0.24/0.43	thf(f56,plain,(
0.24/0.43	  ($false = (cF @ sK2)) | ($false = (cF @ sK2))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f55])).
0.24/0.43	thf(f55,plain,(
0.24/0.43	  ($false = (cF @ sK2)) | ($false = ((vOR @ (cG @ sK2)) @ (cF @ sK2)))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f53])).
0.24/0.43	thf(f53,plain,(
0.24/0.43	  ((cF @ sK2) != ((vOR @ (cG @ sK2)) @ (cF @ sK2)))),
0.24/0.43	  inference(combinator_demodulation,[],[f52])).
0.24/0.43	thf(f52,plain,(
0.24/0.43	  ((cF @ sK2) != (((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF) @ sK2))),
0.24/0.43	  inference(negative_extensionality,[],[f15])).
0.24/0.43	thf(f15,plain,(
0.24/0.43	  (cF != ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF))),
0.24/0.43	  inference(trivial_inequality_removal,[],[f12])).
0.24/0.43	thf(f12,plain,(
0.24/0.43	  ($true != $true) | (cF != ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF))),
0.24/0.43	  inference(constrained_superposition,[],[f10,f8])).
0.24/0.43	thf(f8,plain,(
0.24/0.43	  ((cP @ cF) = $true)),
0.24/0.43	  inference(cnf_transformation,[],[f7])).
0.24/0.43	thf(f10,plain,(
0.24/0.43	  ($true != (cP @ ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF)))),
0.24/0.43	  inference(cnf_transformation,[],[f7])).
0.24/0.43	thf(f68,plain,(
0.24/0.43	  ($true = (cF @ sK2)) | ~spl0_6),
0.24/0.43	  inference(avatar_component_clause,[],[f66])).
0.24/0.43	thf(f66,plain,(
0.24/0.43	  spl0_6 <=> ($true = (cF @ sK2))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.24/0.43	thf(f111,plain,(
0.24/0.43	  spl0_11 | spl0_12 | ~spl0_5),
0.24/0.43	  inference(avatar_split_clause,[],[f102,f62,f108,f104])).
0.24/0.43	thf(f102,plain,(
0.24/0.43	  ($true = (cG @ $true)) | ($false = sK2) | ~spl0_5),
0.24/0.43	  inference(fool_paramodulation,[],[f64])).
0.24/0.43	thf(f89,plain,(
0.24/0.43	  spl0_7 | spl0_8),
0.24/0.43	  inference(avatar_split_clause,[],[f80,f86,f82])).
0.24/0.43	thf(f80,plain,(
0.24/0.43	  ($true = (cG @ sK3)) | ($false = (cF @ sK3))),
0.24/0.43	  inference(not_proxy_clausification,[],[f79])).
0.24/0.43	thf(f79,plain,(
0.24/0.43	  ($true = (cG @ sK3)) | ($true = (vNOT @ (cF @ sK3)))),
0.24/0.43	  inference(duplicate_literal_removal,[],[f78])).
0.24/0.43	thf(f78,plain,(
0.24/0.43	  ($true = (cG @ sK3)) | ($true = (cG @ sK3)) | ($true = (vNOT @ (cF @ sK3)))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f72])).
0.24/0.43	thf(f72,plain,(
0.24/0.43	  ($true = (cG @ sK3)) | ($true = ((vOR @ (vNOT @ (cF @ sK3))) @ (cG @ sK3)))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f71])).
0.24/0.43	thf(f69,plain,(
0.24/0.43	  spl0_5 | spl0_6),
0.24/0.43	  inference(avatar_split_clause,[],[f60,f66,f62])).
0.24/0.43	thf(f60,plain,(
0.24/0.43	  ($true = (cF @ sK2)) | ($true = (cG @ sK2))),
0.24/0.43	  inference(duplicate_literal_removal,[],[f59])).
0.24/0.43	thf(f59,plain,(
0.24/0.43	  ($true = (cF @ sK2)) | ($true = (cF @ sK2)) | ($true = (cG @ sK2))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f54])).
0.24/0.43	thf(f54,plain,(
0.24/0.43	  ($true = (cF @ sK2)) | ($true = ((vOR @ (cG @ sK2)) @ (cF @ sK2)))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f53])).
0.24/0.43	thf(f46,plain,(
0.24/0.43	  ~spl0_2 | ~spl0_4),
0.24/0.43	  inference(avatar_contradiction_clause,[],[f45])).
0.24/0.43	thf(f45,plain,(
0.24/0.43	  $false | (~spl0_2 | ~spl0_4)),
0.24/0.43	  inference(trivial_inequality_removal,[],[f44])).
0.24/0.43	thf(f44,plain,(
0.24/0.43	  ($true = $false) | (~spl0_2 | ~spl0_4)),
0.24/0.43	  inference(forward_demodulation,[],[f32,f41])).
0.24/0.43	thf(f32,plain,(
0.24/0.43	  ($true = (cG @ sK1)) | ~spl0_2),
0.24/0.43	  inference(avatar_component_clause,[],[f30])).
0.24/0.43	thf(f30,plain,(
0.24/0.43	  spl0_2 <=> ($true = (cG @ sK1))),
0.24/0.43	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.24/0.43	thf(f43,plain,(
0.24/0.43	  spl0_4),
0.24/0.43	  inference(avatar_split_clause,[],[f22,f39])).
0.24/0.43	thf(f22,plain,(
0.24/0.43	  ($false = (cG @ sK1))),
0.24/0.43	  inference(duplicate_literal_removal,[],[f21])).
0.24/0.43	thf(f21,plain,(
0.24/0.43	  ($false = (cG @ sK1)) | ($false = (cG @ sK1))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f19])).
0.24/0.43	thf(f19,plain,(
0.24/0.43	  ($false = (cG @ sK1)) | ($false = ((vOR @ (cG @ sK1)) @ (cF @ sK1)))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f17])).
0.24/0.43	thf(f17,plain,(
0.24/0.43	  ((cG @ sK1) != ((vOR @ (cG @ sK1)) @ (cF @ sK1)))),
0.24/0.43	  inference(combinator_demodulation,[],[f16])).
0.24/0.43	thf(f16,plain,(
0.24/0.43	  ((cG @ sK1) != (((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF) @ sK1))),
0.24/0.43	  inference(negative_extensionality,[],[f14])).
0.24/0.43	thf(f14,plain,(
0.24/0.43	  (cG != ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF))),
0.24/0.43	  inference(trivial_inequality_removal,[],[f13])).
0.24/0.43	thf(f13,plain,(
0.24/0.43	  ($true != $true) | (cG != ((sCOMB @ ((bCOMB @ vOR) @ cG)) @ cF))),
0.24/0.43	  inference(constrained_superposition,[],[f10,f9])).
0.24/0.43	thf(f33,plain,(
0.24/0.43	  spl0_1 | spl0_2),
0.24/0.43	  inference(avatar_split_clause,[],[f24,f30,f26])).
0.24/0.43	thf(f24,plain,(
0.24/0.43	  ($true = (cG @ sK1)) | ($true = (cF @ sK1))),
0.24/0.43	  inference(duplicate_literal_removal,[],[f23])).
0.24/0.43	thf(f23,plain,(
0.24/0.43	  ($true = (cG @ sK1)) | ($true = (cF @ sK1)) | ($true = (cG @ sK1))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f18])).
0.24/0.43	thf(f18,plain,(
0.24/0.43	  ($true = (cG @ sK1)) | ($true = ((vOR @ (cG @ sK1)) @ (cF @ sK1)))),
0.24/0.43	  inference(binary_proxy_clausification,[],[f17])).
0.24/0.43	% SZS output end Proof for theBenchmark
0.24/0.43	% (24003)------------------------------
0.24/0.43	% (24003)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.24/0.43	% (24003)Termination reason: Refutation
0.24/0.43	
0.24/0.43	% (24003)Memory used [KB]: 10362
0.24/0.43	% (24003)Time elapsed: 0.033 s
0.24/0.43	% (24003)------------------------------
0.24/0.43	% (24003)------------------------------
0.24/0.43	% (24000)Success in time 0.036 s
0.24/0.43	EOF