%----Output an unreadable proof
% SZS output start Proof for theBenchmark
thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
thf(func_def_3, type, sK0: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
thf(func_def_4, type, sK1: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
thf(func_def_5, type, sK2: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
thf(func_def_6, type, sK3: ((($i > $o) > ($i > $o) > $o) > $i > $o)).
thf(func_def_7, type, vNOT: ($o > $o)).
thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_9, type, db1: !>[X0: $tType]:(X0)).
thf(func_def_10, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(f1,conjecture,(
  ? [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X7 : ($i > $o),X6 : ($i > $o)] : (X0 @ X6 @ X7) & ! [X3 : ($i > $o),X5 : ($i > $o),X4 : ($i > $o)] : (((X0 @ X3 @ X4) & (X0 @ X4 @ X5)) => (X0 @ X3 @ X5)) & ! [X3 : ($i > $o)] : (X0 @ X3 @ X3) & ? [X1 : ($i > $o),X2 : ($i > $o)] : ~(X0 @ X1 @ X2))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120_2_pme)).
thf(f2,negated_conjecture,(
  ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X7 : ($i > $o),X6 : ($i > $o)] : (X0 @ X6 @ X7) & ! [X3 : ($i > $o),X5 : ($i > $o),X4 : ($i > $o)] : (((X0 @ X3 @ X4) & (X0 @ X4 @ X5)) => (X0 @ X3 @ X5)) & ! [X3 : ($i > $o)] : (X0 @ X3 @ X3) & ? [X1 : ($i > $o),X2 : ($i > $o)] : ~(X0 @ X1 @ X2))),
  inference(negated_conjecture,[status(cth)],[f1])).
thf(f3,plain,(
  ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X1 : ($i > $o),X2 : ($i > $o)] : (X0 @ X2 @ X1) & ! [X3 : ($i > $o),X4 : ($i > $o),X5 : ($i > $o)] : (((X0 @ X3 @ X5) & (X0 @ X5 @ X4)) => (X0 @ X3 @ X4)) & ! [X6 : ($i > $o)] : (X0 @ X6 @ X6) & ? [X7 : ($i > $o),X8 : ($i > $o)] : ~(X0 @ X7 @ X8))),
  inference(rectify,[],[f2])).
thf(f4,plain,(
  ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X2 : ($i > $o),X1 : ($i > $o)] : (((X0 @ X2 @ X1)) = $true) & ! [X3 : ($i > $o),X5 : ($i > $o),X4 : ($i > $o)] : (((((X0 @ X5 @ X4)) = $true) & (((X0 @ X3 @ X5)) = $true)) => (((X0 @ X3 @ X4)) = $true)) & ! [X6 : ($i > $o)] : (((X0 @ X6 @ X6)) = $true) & ? [X7 : ($i > $o),X8 : ($i > $o)] : ~ (((X0 @ X7 @ X8)) = $true))),
  inference(fool_elimination,[],[f3])).
thf(f5,plain,(
  ~ ? [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X6 : ($i > $o)] : (((X0 @ X6 @ X6)) = $true) & ! [X3 : ($i > $o),X5 : ($i > $o),X4 : ($i > $o)] : (((((X0 @ X5 @ X4)) = $true) & (((X0 @ X3 @ X5)) = $true)) => (((X0 @ X3 @ X4)) = $true)) & ? [X7 : ($i > $o),X8 : ($i > $o)] : (((X0 @ X7 @ X8)) != $true) & ? [X2 : ($i > $o),X1 : ($i > $o)] : (((X0 @ X2 @ X1)) = $true))),
  inference(flattening,[],[f4])).
thf(f6,plain,(
  ! [X0 : (($i > $o) > ($i > $o) > $o)] : (? [X6 : ($i > $o)] : (((X0 @ X6 @ X6)) != $true) | ? [X3 : ($i > $o),X5 : ($i > $o),X4 : ($i > $o)] : ((((X0 @ X3 @ X4)) != $true) & ((((X0 @ X5 @ X4)) = $true) & (((X0 @ X3 @ X5)) = $true))) | ! [X8 : ($i > $o),X7 : ($i > $o)] : (((X0 @ X7 @ X8)) = $true) | ! [X1 : ($i > $o),X2 : ($i > $o)] : (((X0 @ X2 @ X1)) != $true))),
  inference(ennf_transformation,[],[f5])).
thf(f7,plain,(
  ! [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X8 : ($i > $o),X7 : ($i > $o)] : (((X0 @ X7 @ X8)) = $true) | ? [X6 : ($i > $o)] : (((X0 @ X6 @ X6)) != $true) | ? [X5 : ($i > $o),X4 : ($i > $o),X3 : ($i > $o)] : ((((X0 @ X5 @ X4)) = $true) & (((X0 @ X3 @ X4)) != $true) & (((X0 @ X3 @ X5)) = $true)) | ! [X1 : ($i > $o),X2 : ($i > $o)] : (((X0 @ X2 @ X1)) != $true))),
  inference(flattening,[],[f6])).
thf(f8,plain,(
  ! [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X1 : ($i > $o),X2 : ($i > $o)] : (((X0 @ X2 @ X1)) = $true) | ? [X3 : ($i > $o)] : (((X0 @ X3 @ X3)) != $true) | ? [X4 : ($i > $o),X5 : ($i > $o),X6 : ($i > $o)] : ((((X0 @ X4 @ X5)) = $true) & (((X0 @ X6 @ X5)) != $true) & ($true = ((X0 @ X6 @ X4)))) | ! [X7 : ($i > $o),X8 : ($i > $o)] : (((X0 @ X8 @ X7)) != $true))),
  inference(rectify,[],[f7])).
thf(f9,plain,(
  ! [X0 : (($i > $o) > ($i > $o) > $o)] : (! [X1 : ($i > $o),X2 : ($i > $o)] : (((X0 @ X2 @ X1)) = $true) | (((X0 @ (sK0 @ X0) @ (sK0 @ X0))) != $true) | ((((X0 @ (sK1 @ X0) @ (sK2 @ X0))) = $true) & ($true != ((X0 @ (sK3 @ X0) @ (sK2 @ X0)))) & ($true = ((X0 @ (sK3 @ X0) @ (sK1 @ X0))))) | ! [X7 : ($i > $o),X8 : ($i > $o)] : (((X0 @ X8 @ X7)) != $true))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X6,$thf(sK3 @ X0)),skolemize(X6,$thf(sK3 @ X0)),skolemize(X6,$thf(sK3 @ X0)),skolemize(X6,$thf(sK3 @ X0))],[f8])).
thf(f10,plain,(
  ( ! [X2 : ($i > $o),X0 : (($i > $o) > ($i > $o) > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (($true = ((X0 @ (sK3 @ X0) @ (sK1 @ X0)))) | (((X0 @ X2 @ X1)) = $true) | (((X0 @ (sK0 @ X0) @ (sK0 @ X0))) != $true) | (((X0 @ X8 @ X7)) != $true)) )),
  inference(cnf_transformation,[],[f9])).
thf(f11,plain,(
  ( ! [X2 : ($i > $o),X0 : (($i > $o) > ($i > $o) > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (($true != ((X0 @ (sK3 @ X0) @ (sK2 @ X0)))) | (((X0 @ X2 @ X1)) = $true) | (((X0 @ (sK0 @ X0) @ (sK0 @ X0))) != $true) | (((X0 @ X8 @ X7)) != $true)) )),
  inference(cnf_transformation,[],[f9])).
thf(f12,plain,(
  ( ! [X2 : ($i > $o),X0 : (($i > $o) > ($i > $o) > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((X0 @ (sK1 @ X0) @ (sK2 @ X0))) = $true) | (((X0 @ (sK0 @ X0) @ (sK0 @ X0))) != $true) | (((X0 @ X2 @ X1)) = $true) | (((X0 @ X8 @ X7)) != $true)) )),
  inference(cnf_transformation,[],[f9])).
thf(f14,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))))) = $true) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ X2 @ X1)) = $true) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))))) != $true) | ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ X8 @ X7)))) )),
  inference(primitive_instantiation,[],[f10])).
thf(f26,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (((((sK3 @ =) = (sK1 @ =))) = $true) | (((X2 = X1)) = $true) | ((((sK0 @ =) = (sK0 @ =))) != $true) | (((X8 = X7)) != $true)) )),
  inference(beta-eta_normalization,[],[f14])).
thf(f27,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((X8 = X7)) != $true) | (((X2 = X1)) = $true) | (((sK3 @ =)) = ((sK1 @ =))) | ((((sK0 @ =) = (sK0 @ =))) != $true)) )),
  inference(equality_proxy_clausification,[],[f26])).
thf(f28,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((X7 != X8) | ((((sK0 @ =) = (sK0 @ =))) != $true) | (((sK3 @ =)) = ((sK1 @ =))) | (((X2 = X1)) = $true)) )),
  inference(equality_proxy_clausification,[],[f27])).
thf(f29,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((sK0 @ =)) != ((sK0 @ =))) | (X7 != X8) | (((sK3 @ =)) = ((sK1 @ =))) | (((X2 = X1)) = $true)) )),
  inference(equality_proxy_clausification,[],[f28])).
thf(f30,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((sK3 @ =)) = ((sK1 @ =))) | (X1 = X2) | (((sK0 @ =)) != ((sK0 @ =))) | (X7 != X8)) )),
  inference(equality_proxy_clausification,[],[f29])).
thf(f31,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((X7 != X8) | (X1 = X2) | (((sK3 @ =)) = ((sK1 @ =)))) )),
  inference(trivial_inequality_removal,[],[f30])).
thf(f46,definition,(
  spl4_1 <=> ! [X2 : ($i > $o),X1 : ($i > $o)] : (X1 = X2)),
  introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition])).
thf(f47,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : ((X1 = X2)) ) | ~spl4_1),
  inference(avatar_component_clause,[],[f46])).
thf(f49,definition,(
  spl4_2 <=> (((sK3 @ =)) = ((sK1 @ =)))),
  introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition])).
thf(f51,plain,(
  (((sK3 @ =)) = ((sK1 @ =))) | ~spl4_2),
  inference(avatar_component_clause,[],[f49])).
thf(f53,definition,(
  spl4_3 <=> ! [X8 : ($i > $o),X7 : ($i > $o)] : (X7 != X8)),
  introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
thf(f54,plain,(
  ( ! [X8 : ($i > $o),X7 : ($i > $o)] : ((X7 != X8)) ) | ~spl4_3),
  inference(avatar_component_clause,[],[f53])).
thf(f55,plain,(
  spl4_1 | spl4_2 | spl4_3),
  inference(avatar_split_clause,[],[f31,f53,f49,f46])).
thf(f66,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ X2 @ X1)) = $true) | ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ X8 @ X7))) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))))) != $true) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))))) != $true)) )),
  inference(primitive_instantiation,[],[f11])).
thf(f73,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (($true != (((sK3 @ =) = (sK2 @ =)))) | (((X8 = X7)) != $true) | ((((sK0 @ =) = (sK0 @ =))) != $true) | (((X2 = X1)) = $true)) )),
  inference(beta-eta_normalization,[],[f66])).
thf(f74,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((X8 = X7)) != $true) | (((sK3 @ =)) != ((sK2 @ =))) | ((((sK0 @ =) = (sK0 @ =))) != $true) | (((X2 = X1)) = $true)) )),
  inference(equality_proxy_clausification,[],[f73])).
thf(f75,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (((((sK0 @ =) = (sK0 @ =))) != $true) | (((X2 = X1)) = $true) | (((sK3 @ =)) != ((sK2 @ =))) | (X7 != X8)) )),
  inference(equality_proxy_clausification,[],[f74])).
thf(f76,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((X2 = X1)) = $true) | (((sK3 @ =)) != ((sK2 @ =))) | (X7 != X8) | (((sK0 @ =)) != ((sK0 @ =)))) )),
  inference(equality_proxy_clausification,[],[f75])).
thf(f77,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((sK3 @ =)) != ((sK2 @ =))) | (X7 != X8) | (X1 = X2) | (((sK0 @ =)) != ((sK0 @ =)))) )),
  inference(equality_proxy_clausification,[],[f76])).
thf(f78,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((sK3 @ =)) != ((sK2 @ =))) | (X1 = X2) | (X7 != X8)) )),
  inference(trivial_inequality_removal,[],[f77])).
thf(f104,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((sK1 @ =)) != ((sK2 @ =))) | (X7 != X8) | (X1 = X2)) ) | ~spl4_2),
  inference(forward_demodulation,[],[f78,f51])).
thf(f106,definition,(
  spl4_4 <=> (((sK1 @ =)) = ((sK2 @ =)))),
  introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition])).
thf(f110,plain,(
  spl4_1 | ~spl4_4 | spl4_3 | ~spl4_2),
  inference(avatar_split_clause,[],[f104,f49,f53,f106,f46])).
thf(f111,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))))) != $true) | ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))))))) | ($true != (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ X8 @ X7))) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y0 = Y1)))) @ X2 @ X1)) = $true)) )),
  inference(primitive_instantiation,[],[f12])).
thf(f136,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (((((sK0 @ =) = (sK0 @ =))) != $true) | (((X8 = X7)) != $true) | ($true = (((sK1 @ =) = (sK2 @ =)))) | (((X2 = X1)) = $true)) )),
  inference(beta-eta_normalization,[],[f111])).
thf(f137,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((((X8 = X7)) != $true) | ($true = (((sK1 @ =) = (sK2 @ =)))) | (((X2 = X1)) = $true) | (((sK0 @ =)) != ((sK0 @ =)))) )),
  inference(equality_proxy_clausification,[],[f136])).
thf(f138,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : (($true = (((sK1 @ =) = (sK2 @ =)))) | (X7 != X8) | (((X2 = X1)) = $true) | (((sK0 @ =)) != ((sK0 @ =)))) )),
  inference(equality_proxy_clausification,[],[f137])).
thf(f139,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((X7 != X8) | (((sK0 @ =)) != ((sK0 @ =))) | (((sK1 @ =)) = ((sK2 @ =))) | (((X2 = X1)) = $true)) )),
  inference(equality_proxy_clausification,[],[f138])).
thf(f140,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((X7 != X8) | (((sK1 @ =)) = ((sK2 @ =))) | (((sK0 @ =)) != ((sK0 @ =))) | (X1 = X2)) )),
  inference(equality_proxy_clausification,[],[f139])).
thf(f141,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o),X8 : ($i > $o),X7 : ($i > $o)] : ((X7 != X8) | (((sK1 @ =)) = ((sK2 @ =))) | (X1 = X2)) )),
  inference(trivial_inequality_removal,[],[f140])).
thf(f142,plain,(
  spl4_1 | spl4_3 | spl4_4),
  inference(avatar_split_clause,[],[f141,f106,f53,f46])).
thf(f143,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((X1 @ X3)) = ((X2 @ X3)))) ) | ~spl4_1),
  inference(argument_congruence,[],[f47])).
thf(f144,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((X2 @ X3)) = $false) | (((X1 @ X3)) = $true)) ) | ~spl4_1),
  inference(iff_proxy_clausification,[],[f143])).
thf(f146,plain,(
  ( ! [X3 : $i,X1 : ($i > $o)] : (((((^[Y0 : $i]: ($true)) @ X3)) = $false) | (((X1 @ X3)) = $true)) ) | ~spl4_1),
  inference(primitive_instantiation,[],[f144])).
thf(f153,plain,(
  ( ! [X3 : $i,X1 : ($i > $o)] : (($true = $false) | (((X1 @ X3)) = $true)) ) | ~spl4_1),
  inference(beta-eta_normalization,[],[f146])).
thf(f154,plain,(
  ( ! [X3 : $i,X1 : ($i > $o)] : ((((X1 @ X3)) = $true)) ) | ~spl4_1),
  inference(trivial_inequality_removal,[],[f153])).
thf(f160,plain,(
  ( ! [X3 : $i] : (((((^[Y0 : $i]: ($false)) @ X3)) = $true)) ) | ~spl4_1),
  inference(primitive_instantiation,[],[f154])).
thf(f170,plain,(
  ($true = $false) | ~spl4_1),
  inference(beta-eta_normalization,[],[f160])).
thf(f171,plain,(
  $false | ~spl4_1),
  inference(trivial_inequality_removal,[],[f170])).
thf(f172,plain,(
  ~spl4_1),
  inference(avatar_contradiction_clause,[],[f171])).
thf(f176,plain,(
  $false | ~spl4_3),
  inference(flex-flex_simplification,[],[f54])).
thf(f177,plain,(
  ~spl4_3),
  inference(avatar_contradiction_clause,[],[f176])).
cnf(s1, plain, spl4_1 | spl4_2 | spl4_3, inference(sat_conversion,[],[f55])).
cnf(s3, plain, spl4_1 | ~spl4_2 | spl4_3 | ~spl4_4, inference(sat_conversion,[],[f110])).
cnf(s4, plain, spl4_1 | spl4_3 | spl4_4, inference(sat_conversion,[],[f142])).
cnf(s5, plain, ~spl4_1, inference(sat_conversion,[],[f172])).
cnf(s6, plain, ~spl4_3, inference(sat_conversion,[],[f177])).
cnf(s7, plain, spl4_4, inference(rat,[],[s4,s6,s5])).
cnf(s8, plain, ~spl4_2, inference(rat,[],[s3,s7,s6,s5])).
cnf(s9, plain, $false, inference(rat,[],[s1,s6,s8,s5])).
thf(f178,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s9])).
% SZS output end Proof for theBenchmark