%----Output an unreadable proof
% SZS output start Proof for theBenchmark
thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
thf(func_def_3, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
thf(func_def_4, type, vAND: ($o > $o > $o)).
thf(func_def_5, type, vNOT: ($o > $o)).
thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_7, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
thf(func_def_8, type, vOR: ($o > $o > $o)).
thf(func_def_9, type, db2: !>[X0: $tType]:(X0)).
thf(func_def_10, type, db1: !>[X0: $tType]:(X0)).
thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(func_def_12, type, sK0: (($i > $o) > $i)).
thf(func_def_13, type, sK1: (($i > $o) > ($i > $o) > $i > $o)).
thf(func_def_14, type, sK2: ($i > $o)).
thf(func_def_15, type, sF3: ($i > ($i > $o) > $o)).
thf(func_def_16, type, sF4: (($i > $o) > $i)).
thf(func_def_17, type, sF5: (($i > $o) > ($i > $o) > $o)).
thf(func_def_18, type, sF6: (($i > $o) > ($i > $o) > $o)).
thf(func_def_20, type, sF8: $o).
thf(func_def_22, type, sF10: (($i > $o) > $o)).
thf(func_def_23, type, sF11: (($i > $o) > $o)).
thf(func_def_25, type, sK13: ($i > $i > $o)).
thf(func_def_26, type, sK14: ($i > $i > $o)).
thf(func_def_27, type, sK15: ($i > $i > $o)).
thf(func_def_28, type, sK16: ($i > $i > $o)).
thf(func_def_29, type, sK17: (($i > $o) > $i > $i > $o)).
thf(func_def_30, type, sK18: (($i > $o) > $i > $i > $o)).
thf(func_def_31, type, sK19: ($i > $i > $o)).
thf(func_def_32, type, sK20: ($i > $i > $o)).
thf(func_def_33, type, sK21: (($i > $o) > $i > $i > $o)).
thf(func_def_34, type, sK22: (($i > $o) > $i > $i > $o)).
thf(func_def_35, type, sK23: (($i > $o) > $i > $i > $o)).
thf(func_def_36, type, sK24: (($i > $o) > $i > $i > $o)).
thf(func_def_37, type, sK25: ($i > $o)).
thf(func_def_38, type, sK26: ($i > $o)).
thf(func_def_39, type, sK27: ($i > $i > $o)).
thf(func_def_40, type, sK28: ($i > $i > $o)).
thf(func_def_41, type, sK29: ($i > $i > $o)).
thf(func_def_42, type, sK30: ($i > $i > $o)).
thf(func_def_43, type, sK31: (($i > $o) > $i > $i > $o)).
thf(func_def_44, type, sK32: (($i > $o) > $i > $i > $o)).
thf(func_def_45, type, sK33: ($i > $o)).
thf(func_def_46, type, sK34: ($i > $o)).
thf(f1,conjecture,(
  ! [X0 : (($i > $o) > $i)] : (! [X5 : ($i > $o)] : (? [X2 : ($i > $o)] : (~(X2 @ (X0 @ X5)) & (X2 @ (X0 @ (^[X6 : $i] : (? [X7 : ($i > $o)] : (! [X8 : ($i > $o)] : ((X8 @ (X0 @ X7)) | ~(X8 @ X6)) & ~(X7 @ (X0 @ X7)))))))) | (X5 @ (X0 @ X5))) | ? [X1 : ($i > $o),X2 : ($i > $o)] : (! [X3 : ($i > $o)] : (~(X3 @ (X0 @ X1)) | (X3 @ (X0 @ X2))) & ? [X4 : $i] : ~((X2 @ X4) <=> (X1 @ X4))))),
  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM143_EXPANDB)).
thf(f2,negated_conjecture,(
  ~ ! [X0 : (($i > $o) > $i)] : (! [X5 : ($i > $o)] : (? [X2 : ($i > $o)] : (~(X2 @ (X0 @ X5)) & (X2 @ (X0 @ (^[X6 : $i] : (? [X7 : ($i > $o)] : (! [X8 : ($i > $o)] : ((X8 @ (X0 @ X7)) | ~(X8 @ X6)) & ~(X7 @ (X0 @ X7)))))))) | (X5 @ (X0 @ X5))) | ? [X1 : ($i > $o),X2 : ($i > $o)] : (! [X3 : ($i > $o)] : (~(X3 @ (X0 @ X1)) | (X3 @ (X0 @ X2))) & ? [X4 : $i] : ~((X2 @ X4) <=> (X1 @ X4))))),
  inference(negated_conjecture,[status(cth)],[f1])).
thf(f3,plain,(
  ~ ! [X0 : (($i > $o) > $i)] : (! [X1 : ($i > $o)] : (? [X2 : ($i > $o)] : (~(X2 @ (X0 @ X1)) & (X2 @ (X0 @ (^[X3 : $i] : (? [X4 : ($i > $o)] : (! [X5 : ($i > $o)] : ((X5 @ (X0 @ X4)) | ~(X5 @ X3)) & ~(X4 @ (X0 @ X4)))))))) | (X1 @ (X0 @ X1))) | ? [X6 : ($i > $o),X7 : ($i > $o)] : (! [X8 : ($i > $o)] : (~(X8 @ (X0 @ X6)) | (X8 @ (X0 @ X7))) & ? [X9 : $i] : ~((X7 @ X9) <=> (X6 @ X9))))),
  inference(rectify,[],[f2])).
thf(f4,plain,(
  ~ ! [X0 : (($i > $o) > $i)] : (! [X1 : ($i > $o)] : (? [X2 : ($i > $o)] : (~ (((X2 @ (X0 @ X1))) = $true) & (((X2 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (X0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (X0 @ Y1)))))))))))) = $true)) | (((X1 @ (X0 @ X1))) = $true)) | ? [X6 : ($i > $o),X7 : ($i > $o)] : (! [X8 : ($i > $o)] : (~ (((X8 @ (X0 @ X6))) = $true) | (((X8 @ (X0 @ X7))) = $true)) & ? [X9 : $i] : ~ (((X6 @ X9)) = ((X7 @ X9)))))),
  inference(fool_elimination,[],[f3])).
thf(f5,plain,(
  ~ ! [X0 : (($i > $o) > $i)] : (! [X1 : ($i > $o)] : (? [X2 : ($i > $o)] : (~ (((X2 @ (X0 @ X1))) = $true) & (((X2 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (X0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (X0 @ Y1)))))))))))) = $true)) | (((X1 @ (X0 @ X1))) = $true)) | ? [X3 : ($i > $o),X4 : ($i > $o)] : (! [X5 : ($i > $o)] : (~ (((X5 @ (X0 @ X3))) = $true) | (((X5 @ (X0 @ X4))) = $true)) & ? [X6 : $i] : ~ (((X3 @ X6)) = ((X4 @ X6)))))),
  inference(rectify,[],[f4])).
thf(f6,plain,(
  ~ ! [X0 : (($i > $o) > $i)] : (? [X3 : ($i > $o),X4 : ($i > $o)] : (! [X5 : ($i > $o)] : ((((X5 @ (X0 @ X3))) != $true) | (((X5 @ (X0 @ X4))) = $true)) & ? [X6 : $i] : (((X3 @ X6)) != ((X4 @ X6)))) | ! [X1 : ($i > $o)] : (? [X2 : ($i > $o)] : ((((X2 @ (X0 @ X1))) != $true) & (((X2 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (X0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (X0 @ Y1)))))))))))) = $true)) | (((X1 @ (X0 @ X1))) = $true)))),
  inference(flattening,[],[f5])).
thf(f7,plain,(
  ? [X0 : (($i > $o) > $i)] : (! [X3 : ($i > $o),X4 : ($i > $o)] : (! [X6 : $i] : (((X3 @ X6)) = ((X4 @ X6))) | ? [X5 : ($i > $o)] : ((((X5 @ (X0 @ X4))) != $true) & (((X5 @ (X0 @ X3))) = $true))) & ? [X1 : ($i > $o)] : ((((X1 @ (X0 @ X1))) != $true) & ! [X2 : ($i > $o)] : ((((X2 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (X0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (X0 @ Y1)))))))))))) != $true) | (((X2 @ (X0 @ X1))) = $true))))),
  inference(ennf_transformation,[],[f6])).
thf(f8,plain,(
  ? [X0 : (($i > $o) > $i)] : (! [X1 : ($i > $o),X2 : ($i > $o)] : (! [X3 : $i] : (((X2 @ X3)) = ((X1 @ X3))) | ? [X4 : ($i > $o)] : ((((X4 @ (X0 @ X2))) != $true) & (((X4 @ (X0 @ X1))) = $true))) & ? [X5 : ($i > $o)] : ((((X5 @ (X0 @ X5))) != $true) & ! [X6 : ($i > $o)] : ((((X6 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (X0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (X0 @ Y1)))))))))))) != $true) | (((X6 @ (X0 @ X5))) = $true))))),
  inference(rectify,[],[f7])).
thf(f9,plain,(
  ! [X1 : ($i > $o),X2 : ($i > $o)] : (! [X3 : $i] : (((X2 @ X3)) = ((X1 @ X3))) | ((((sK1 @ X2 @ X1 @ (sK0 @ X2))) != $true) & (((sK1 @ X2 @ X1 @ (sK0 @ X1))) = $true))) & ((((sK2 @ (sK0 @ sK2))) != $true) & ! [X6 : ($i > $o)] : ((((X6 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1)))))))))))) != $true) | (((X6 @ (sK0 @ sK2))) = $true)))),
  inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP,sK2]),skolemize(X0,$thf(sK0)),skolemize(X4,$thf(sK1 @ X2 @ X1)),skolemize(X5,$thf(sK2))],[f8])).
thf(f10,plain,(
  ( ! [X6 : ($i > $o)] : ((((X6 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1)))))))))))) != $true) | (((X6 @ (sK0 @ sK2))) = $true)) )),
  inference(cnf_transformation,[],[f9])).
thf(f11,plain,(
  (((sK2 @ (sK0 @ sK2))) != $true)),
  inference(cnf_transformation,[],[f9])).
thf(f12,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((X2 @ X3)) = ((X1 @ X3))) | (((sK1 @ X2 @ X1 @ (sK0 @ X1))) = $true)) )),
  inference(cnf_transformation,[],[f9])).
thf(f13,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((X2 @ X3)) = ((X1 @ X3))) | (((sK1 @ X2 @ X1 @ (sK0 @ X2))) != $true)) )),
  inference(cnf_transformation,[],[f9])).
thf(f15,definition,(
  ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
  introduced(theory,[fool_exhaustiveness_axiom])).
thf(f16,definition,(
  ( ! [X2 : ($i > $o),X3 : $i] : ((((sF3 @ X3 @ X2)) = ((X2 @ X3)))) )),
  introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
thf(f17,plain,(
  ( ! [X2 : ($i > $o),X3 : $i] : ((((X2 @ X3)) = ((sF3 @ X3 @ X2)))) )),
  inference(reorient_equations,[],[f16])).
thf(f18,definition,(
  ( ! [X2 : ($i > $o)] : ((((sF4 @ X2)) = ((sK0 @ X2)))) )),
  introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
thf(f19,plain,(
  ( ! [X2 : ($i > $o)] : ((((sK0 @ X2)) = ((sF4 @ X2)))) )),
  inference(reorient_equations,[],[f18])).
thf(f20,definition,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : ((((sF5 @ X1 @ X2)) = ((sK1 @ X2 @ X1 @ (sF4 @ X2))))) )),
  introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
thf(f21,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : ((((sK1 @ X2 @ X1 @ (sF4 @ X2))) = ((sF5 @ X1 @ X2)))) )),
  inference(reorient_equations,[],[f20])).
thf(f22,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((sF3 @ X3 @ X2)) = ((sF3 @ X3 @ X1))) | (((sF5 @ X1 @ X2)) != $true)) )),
  inference(definition_folding,[],[f13,f21,f19,f17,f17])).
thf(f23,definition,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : ((((sF6 @ X1 @ X2)) = ((sK1 @ X2 @ X1 @ (sF4 @ X1))))) )),
  introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
thf(f24,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((sF6 @ X1 @ X2)) = $true) | (((sF3 @ X3 @ X2)) = ((sF3 @ X3 @ X1)))) )),
  inference(definition_folding,[],[f12,f23,f19,f17,f17])).
thf(f25,definition,(
  (sF7 = ((sK0 @ sK2)))),
  introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
thf(f26,definition,(
  (sF8 = ((sK2 @ sF7)))),
  introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
thf(f27,plain,(
  (((sK2 @ sF7)) = sF8)),
  inference(reorient_equations,[],[f26])).
thf(f28,plain,(
  (sF8 != $true)),
  inference(definition_folding,[],[f11,f27,f25])).
thf(f29,definition,(
  (sF9 = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))))))),
  introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
thf(f30,plain,(
  (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))))) = sF9)),
  inference(reorient_equations,[],[f29])).
thf(f31,definition,(
  ( ! [X6 : ($i > $o)] : ((((sF10 @ X6)) = ((X6 @ sF9)))) )),
  introduced(definition,[new_symbols(definition,[sF10])],[function_definition])).
thf(f32,plain,(
  ( ! [X6 : ($i > $o)] : ((((X6 @ sF9)) = ((sF10 @ X6)))) )),
  inference(reorient_equations,[],[f31])).
thf(f33,definition,(
  ( ! [X6 : ($i > $o)] : ((((sF11 @ X6)) = ((X6 @ sF7)))) )),
  introduced(definition,[new_symbols(definition,[sF11])],[function_definition])).
thf(f34,plain,(
  ( ! [X6 : ($i > $o)] : ((((sF11 @ X6)) = $true) | (((sF10 @ X6)) != $true)) )),
  inference(definition_folding,[],[f10,f33,f25,f32,f30])).
thf(f35,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((sF6 @ X1 @ X2)) = $true) | (((sF3 @ X3 @ X2)) = $true) | (((sF3 @ X3 @ X1)) = $false)) )),
  inference(iff_proxy_clausification,[],[f24])).
thf(f37,plain,(
  ( ! [X2 : ($i > $o),X3 : $i] : ((((sF3 @ X3 @ X2)) = $false) | (((X2 @ X3)) = $true)) )),
  inference(iff_proxy_clausification,[],[f17])).
thf(f38,plain,(
  ( ! [X2 : ($i > $o),X3 : $i] : ((((sF3 @ X3 @ X2)) = $true) | (((X2 @ X3)) = $false)) )),
  inference(iff_proxy_clausification,[],[f17])).
thf(f40,plain,(
  (sF8 = $true) | ($false = ((sK2 @ sF7)))),
  inference(iff_proxy_clausification,[],[f27])).
thf(f42,plain,(
  ( ! [X6 : ($i > $o)] : ((((sF11 @ X6)) = $false) | (((X6 @ sF7)) = $true)) )),
  inference(iff_proxy_clausification,[],[f33])).
thf(f43,plain,(
  ( ! [X2 : ($i > $o),X3 : $i,X1 : ($i > $o)] : ((((sF5 @ X1 @ X2)) != $true) | (((sF3 @ X3 @ X2)) = $true) | (((sF3 @ X3 @ X1)) = $false)) )),
  inference(iff_proxy_clausification,[],[f22])).
thf(f46,plain,(
  ( ! [X6 : ($i > $o)] : ((((sF10 @ X6)) = $true) | (((X6 @ sF9)) = $false)) )),
  inference(iff_proxy_clausification,[],[f32])).
thf(f48,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : ((((sF5 @ X1 @ X2)) = $true) | (((sK1 @ X2 @ X1 @ (sF4 @ X2))) = $false)) )),
  inference(iff_proxy_clausification,[],[f21])).
thf(f50,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : ((((sK1 @ X2 @ X1 @ (sF4 @ X1))) = $true) | (((sF6 @ X1 @ X2)) = $false)) )),
  inference(iff_proxy_clausification,[],[f23])).
thf(f52,definition,(
  spl12_1 <=> ($false = ((sK2 @ sF7)))),
  introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition])).
thf(f54,plain,(
  ($false = ((sK2 @ sF7))) | ~spl12_1),
  inference(avatar_component_clause,[],[f52])).
thf(f56,definition,(
  spl12_2 <=> (sF8 = $true)),
  introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition])).
thf(f59,plain,(
  spl12_1 | spl12_2),
  inference(avatar_split_clause,[],[f40,f56,f52])).
thf(f69,plain,(
  ~spl12_2),
  inference(avatar_split_clause,[],[f28,f56])).
thf(f73,plain,(
  ( ! [X2 : $i,X0 : ($i > $o),X1 : ($i > $o)] : ((((sF5 @ X0 @ X1)) = $false) | ($true != $true) | (((sF3 @ X2 @ X0)) = $false) | (((sF3 @ X2 @ X1)) = $true)) )),
  inference(constrained_superposition,[],[f43,f15])).
thf(f82,plain,(
  ( ! [X2 : $i,X0 : ($i > $o),X1 : ($i > $o)] : ((((sF5 @ X0 @ X1)) = $false) | (((sF3 @ X2 @ X0)) = $false) | (((sF3 @ X2 @ X1)) = $true)) )),
  inference(trivial_inequality_removal,[],[f73])).
thf(f102,plain,(
  ( ! [X0 : ($i > $o)] : ((((X0 @ sF7)) = $true) | ($false = $true) | (((sF10 @ X0)) != $true)) )),
  inference(constrained_superposition,[],[f42,f34])).
thf(f107,plain,(
  ( ! [X0 : ($i > $o)] : ((((sF10 @ X0)) != $true) | (((X0 @ sF7)) = $true)) )),
  inference(trivial_inequality_removal,[],[f102])).
thf(f124,plain,(
  ( ! [X0 : ($i > $o)] : (($true != $true) | (((X0 @ sF7)) = $true) | ($false = ((X0 @ sF9)))) )),
  inference(constrained_superposition,[],[f107,f46])).
thf(f125,plain,(
  ( ! [X0 : ($i > $o)] : (($false = ((X0 @ sF9))) | (((X0 @ sF7)) = $true)) )),
  inference(trivial_inequality_removal,[],[f124])).
thf(f139,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : (($false = ((sK1 @ X2 @ X1 @ (sK0 @ X2)))) | (((sF5 @ X1 @ X2)) = $true)) )),
  inference(forward_demodulation,[],[f48,f19])).
thf(f141,plain,(
  ( ! [X2 : ($i > $o),X1 : ($i > $o)] : ((((sK1 @ X2 @ X1 @ (sK0 @ X1))) = $true) | (((sF6 @ X1 @ X2)) = $false)) )),
  inference(forward_demodulation,[],[f50,f19])).
thf(f144,plain,(
  ( ! [X0 : ($i > $o)] : (($false = ((sK1 @ sK2 @ X0 @ sF7))) | (((sF5 @ X0 @ sK2)) = $true)) )),
  inference(constrained_superposition,[],[f139,f25])).
thf(f177,plain,(
  ( ! [X0 : ($i > $o)] : ((((sK1 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sF9)) = $true) | (((sF6 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ X0)) = $false)) )),
  inference(constrained_superposition,[],[f141,f30])).
thf(f241,plain,(
  ( ! [X0 : ($i > $o)] : (($false = $true) | (((sK1 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sF7)) = $true) | (((sF6 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ X0)) = $false)) )),
  inference(constrained_superposition,[],[f177,f125])).
thf(f246,plain,(
  ( ! [X0 : ($i > $o)] : ((((sK1 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sF7)) = $true) | (((sF6 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ X0)) = $false)) )),
  inference(trivial_inequality_removal,[],[f241])).
thf(f251,plain,(
  ($false = $true) | ($false = ((sF6 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2))) | (((sF5 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2)) = $true)),
  inference(constrained_superposition,[],[f246,f144])).
thf(f253,plain,(
  ($false = ((sF6 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2))) | (((sF5 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2)) = $true)),
  inference(trivial_inequality_removal,[],[f251])).
thf(f256,definition,(
  spl12_7 <=> (((sF5 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2)) = $true)),
  introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition])).
thf(f258,plain,(
  (((sF5 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2)) = $true) | ~spl12_7),
  inference(avatar_component_clause,[],[f256])).
thf(f260,definition,(
  spl12_8 <=> ($false = ((sF6 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2)))),
  introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition])).
thf(f262,plain,(
  ($false = ((sF6 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ sK2))) | ~spl12_8),
  inference(avatar_component_clause,[],[f260])).
thf(f263,plain,(
  spl12_7 | spl12_8),
  inference(avatar_split_clause,[],[f253,f260,f256])).
thf(f440,definition,(
  spl12_11 <=> ($false = ((sF3 @ sF7 @ sK2)))),
  introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition])).
thf(f441,plain,(
  ($false != ((sF3 @ sF7 @ sK2))) | spl12_11),
  inference(avatar_component_clause,[],[f440])).
thf(f442,plain,(
  ($false = ((sF3 @ sF7 @ sK2))) | ~spl12_11),
  inference(avatar_component_clause,[],[f440])).
thf(f801,plain,(
  ( ! [X0 : $i] : ((((sF3 @ X0 @ sK2)) = $true) | ($false = ((sF3 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1)))))))))))) | ($false = $true)) ) | ~spl12_8),
  inference(constrained_superposition,[],[f262,f35])).
thf(f805,plain,(
  ( ! [X0 : $i] : (($false = ((sF3 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1)))))))))))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_8),
  inference(trivial_inequality_removal,[],[f801])).
thf(f827,plain,(
  ( ! [X0 : $i] : (((((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ X0)) = $false) | (((sF3 @ X0 @ sK2)) = $true) | ($false = $true)) ) | ~spl12_8),
  inference(constrained_superposition,[],[f38,f805])).
thf(f828,plain,(
  ( ! [X0 : $i] : ((((sF3 @ X0 @ sK2)) = $true) | ((((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ X0)) = $false)) ) | ~spl12_8),
  inference(trivial_inequality_removal,[],[f827])).
thf(f829,plain,(
  ( ! [X0 : $i] : (($false = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ (sK0 @ Y0))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK0 @ Y0)))))))))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_8),
  inference(beta-eta_normalization,[],[f828])).
thf(f830,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : (($false = (((^[Y0 : $i > $o]: ((~ (Y0 @ (sK0 @ Y0))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK0 @ Y0))))))) @ X1))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_8),
  inference(pi_proxy_clausification,[],[f829])).
thf(f831,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((sF3 @ X0 @ sK2)) = $true) | ((((~ (X1 @ (sK0 @ X1))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1))))))) = $false)) ) | ~spl12_8),
  inference(beta-eta_normalization,[],[f830])).
thf(f832,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((~ (X1 @ (sK0 @ X1)))) = $false) | ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1))))))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_8),
  inference(and_proxy_clausification,[],[f831])).
thf(f833,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((sF3 @ X0 @ sK2)) = $true) | ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1))))))) | (((X1 @ (sK0 @ X1))) = $true)) ) | ~spl12_8),
  inference(not_proxy_clausification,[],[f832])).
thf(f834,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true) | ((((^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1)))) @ (sK23 @ X1 @ X0))) = $false)) ) | ~spl12_8),
  inference(sigma_proxy_clausification,[],[f833])).
thf(f835,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true) | ($false = (((~ (sK23 @ X1 @ X0 @ X0)) | (sK23 @ X1 @ X0 @ (sK0 @ X1)))))) ) | ~spl12_8),
  inference(beta-eta_normalization,[],[f834])).
thf(f836,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((sK23 @ X1 @ X0 @ (sK0 @ X1))) = $false) | (((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_8),
  inference(or_proxy_clausification,[],[f835])).
thf(f837,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((~ (sK23 @ X1 @ X0 @ X0))) = $false) | (((sF3 @ X0 @ sK2)) = $true) | (((X1 @ (sK0 @ X1))) = $true)) ) | ~spl12_8),
  inference(or_proxy_clausification,[],[f835])).
thf(f838,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((sK23 @ X1 @ X0 @ X0)) = $true) | (((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_8),
  inference(not_proxy_clausification,[],[f837])).
thf(f867,plain,(
  ( ! [X0 : ($i > $o)] : ((((sF3 @ (sK0 @ X0) @ sK2)) = $true) | (((X0 @ (sK0 @ X0))) = $true) | (((sF3 @ (sK0 @ X0) @ sK2)) = $true) | ($false = $true) | (((X0 @ (sK0 @ X0))) = $true)) ) | ~spl12_8),
  inference(constrained_superposition,[],[f838,f836])).
thf(f878,plain,(
  ( ! [X0 : ($i > $o)] : (($false = $true) | (((X0 @ (sK0 @ X0))) = $true) | (((sF3 @ (sK0 @ X0) @ sK2)) = $true)) ) | ~spl12_8),
  inference(duplicate_literal_removal,[],[f867])).
thf(f879,plain,(
  ( ! [X0 : ($i > $o)] : ((((sF3 @ (sK0 @ X0) @ sK2)) = $true) | (((X0 @ (sK0 @ X0))) = $true)) ) | ~spl12_8),
  inference(trivial_inequality_removal,[],[f878])).
thf(f897,plain,(
  (((sF3 @ sF7 @ sK2)) = $true) | (((sK2 @ sF7)) = $true) | ~spl12_8),
  inference(constrained_superposition,[],[f879,f25])).
thf(f913,plain,(
  (((sK2 @ sF7)) = $true) | ($false = $true) | (~spl12_8 | ~spl12_11)),
  inference(forward_demodulation,[],[f897,f442])).
thf(f914,plain,(
  (((sK2 @ sF7)) = $true) | (~spl12_8 | ~spl12_11)),
  inference(trivial_inequality_removal,[],[f913])).
thf(f917,plain,(
  ($false = $true) | (~spl12_1 | ~spl12_8 | ~spl12_11)),
  inference(forward_demodulation,[],[f914,f54])).
thf(f918,plain,(
  $false | (~spl12_1 | ~spl12_8 | ~spl12_11)),
  inference(trivial_inequality_removal,[],[f917])).
thf(f919,plain,(
  ~spl12_1 | ~spl12_8 | ~spl12_11),
  inference(avatar_contradiction_clause,[],[f918])).
thf(f953,plain,(
  ($false != $false) | (((sK2 @ sF7)) = $true) | spl12_11),
  inference(constrained_superposition,[],[f441,f37])).
thf(f955,plain,(
  (((sK2 @ sF7)) = $true) | spl12_11),
  inference(trivial_inequality_removal,[],[f953])).
thf(f956,plain,(
  ($false = $true) | (~spl12_1 | spl12_11)),
  inference(forward_demodulation,[],[f955,f54])).
thf(f957,plain,(
  $false | (~spl12_1 | spl12_11)),
  inference(trivial_inequality_removal,[],[f956])).
thf(f958,plain,(
  ~spl12_1 | spl12_11),
  inference(avatar_contradiction_clause,[],[f957])).
thf(f967,plain,(
  ( ! [X0 : $i] : ((((sF3 @ X0 @ sK2)) = $true) | ($false = ((sF3 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1)))))))))))) | ($false = $true)) ) | ~spl12_7),
  inference(constrained_superposition,[],[f82,f258])).
thf(f972,plain,(
  ( ! [X0 : $i] : (($false = ((sF3 @ X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1)))))))))))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(trivial_inequality_removal,[],[f967])).
thf(f1009,plain,(
  ( ! [X0 : $i] : (((((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ X0)) = $false) | (((sF3 @ X0 @ sK2)) = $true) | ($false = $true)) ) | ~spl12_7),
  inference(constrained_superposition,[],[f972,f38])).
thf(f1015,plain,(
  ( ! [X0 : $i] : (((((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ (sK0 @ Y1))) & (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y0)) | (Y2 @ (sK0 @ Y1))))))))) @ X0)) = $false) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(trivial_inequality_removal,[],[f1009])).
thf(f1016,plain,(
  ( ! [X0 : $i] : (($false = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ (sK0 @ Y0))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK0 @ Y0)))))))))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(beta-eta_normalization,[],[f1015])).
thf(f1017,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : (($false = (((^[Y0 : $i > $o]: ((~ (Y0 @ (sK0 @ Y0))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (Y1 @ X0)) | (Y1 @ (sK0 @ Y0))))))) @ X1))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(pi_proxy_clausification,[],[f1016])).
thf(f1018,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((sF3 @ X0 @ sK2)) = $true) | ((((~ (X1 @ (sK0 @ X1))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1))))))) = $false)) ) | ~spl12_7),
  inference(beta-eta_normalization,[],[f1017])).
thf(f1019,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : (($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1))))))) | (((sF3 @ X0 @ sK2)) = $true) | (((~ (X1 @ (sK0 @ X1)))) = $false)) ) | ~spl12_7),
  inference(and_proxy_clausification,[],[f1018])).
thf(f1020,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((~ (X1 @ (sK0 @ X1)))) = $false) | ($false = (((^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1)))) @ (sK31 @ X1 @ X0)))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(sigma_proxy_clausification,[],[f1019])).
thf(f1021,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true) | ($false = (((^[Y0 : $i > $o]: ((~ (Y0 @ X0)) | (Y0 @ (sK0 @ X1)))) @ (sK31 @ X1 @ X0))))) ) | ~spl12_7),
  inference(not_proxy_clausification,[],[f1020])).
thf(f1022,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : (((((~ (sK31 @ X1 @ X0 @ X0)) | (sK31 @ X1 @ X0 @ (sK0 @ X1)))) = $false) | (((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(beta-eta_normalization,[],[f1021])).
thf(f1023,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : (($false = ((sK31 @ X1 @ X0 @ (sK0 @ X1)))) | (((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(or_proxy_clausification,[],[f1022])).
thf(f1024,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((X1 @ (sK0 @ X1))) = $true) | ($false = ((~ (sK31 @ X1 @ X0 @ X0)))) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(or_proxy_clausification,[],[f1022])).
thf(f1025,plain,(
  ( ! [X0 : $i,X1 : ($i > $o)] : ((((sK31 @ X1 @ X0 @ X0)) = $true) | (((X1 @ (sK0 @ X1))) = $true) | (((sF3 @ X0 @ sK2)) = $true)) ) | ~spl12_7),
  inference(not_proxy_clausification,[],[f1024])).
thf(f1118,plain,(
  ( ! [X0 : ($i > $o)] : ((((X0 @ (sK0 @ X0))) = $true) | ($false = $true) | (((sF3 @ (sK0 @ X0) @ sK2)) = $true) | (((sF3 @ (sK0 @ X0) @ sK2)) = $true) | (((X0 @ (sK0 @ X0))) = $true)) ) | ~spl12_7),
  inference(constrained_superposition,[],[f1025,f1023])).
thf(f1121,plain,(
  ( ! [X0 : ($i > $o)] : ((((sF3 @ (sK0 @ X0) @ sK2)) = $true) | ($false = $true) | (((X0 @ (sK0 @ X0))) = $true)) ) | ~spl12_7),
  inference(duplicate_literal_removal,[],[f1118])).
thf(f1122,plain,(
  ( ! [X0 : ($i > $o)] : ((((sF3 @ (sK0 @ X0) @ sK2)) = $true) | (((X0 @ (sK0 @ X0))) = $true)) ) | ~spl12_7),
  inference(trivial_inequality_removal,[],[f1121])).
thf(f1154,plain,(
  (((sF3 @ sF7 @ sK2)) = $true) | (((sK2 @ sF7)) = $true) | ~spl12_7),
  inference(constrained_superposition,[],[f1122,f25])).
thf(f1178,plain,(
  ($false = $true) | (((sK2 @ sF7)) = $true) | (~spl12_7 | ~spl12_11)),
  inference(forward_demodulation,[],[f1154,f442])).
thf(f1179,plain,(
  (((sK2 @ sF7)) = $true) | (~spl12_7 | ~spl12_11)),
  inference(trivial_inequality_removal,[],[f1178])).
thf(f1182,plain,(
  ($false = $true) | (~spl12_1 | ~spl12_7 | ~spl12_11)),
  inference(forward_demodulation,[],[f1179,f54])).
thf(f1183,plain,(
  $false | (~spl12_1 | ~spl12_7 | ~spl12_11)),
  inference(trivial_inequality_removal,[],[f1182])).
thf(f1184,plain,(
  ~spl12_1 | ~spl12_7 | ~spl12_11),
  inference(avatar_contradiction_clause,[],[f1183])).
cnf(s1, plain, spl12_1 | spl12_2, inference(sat_conversion,[],[f59])).
cnf(s3, plain, ~spl12_2, inference(sat_conversion,[],[f69])).
cnf(s8, plain, spl12_7 | spl12_8, inference(sat_conversion,[],[f263])).
cnf(s25, plain, ~spl12_1 | ~spl12_8 | ~spl12_11, inference(sat_conversion,[],[f919])).
cnf(s26, plain, ~spl12_1 | spl12_11, inference(sat_conversion,[],[f958])).
cnf(s29, plain, ~spl12_1 | ~spl12_7 | ~spl12_11, inference(sat_conversion,[],[f1184])).
cnf(s31, plain, spl12_1, inference(rat,[],[s1,s3])).
cnf(s32, plain, spl12_11, inference(rat,[],[s26,s31])).
cnf(s33, plain, ~spl12_8, inference(rat,[],[s25,s32,s31])).
cnf(s36, plain, ~spl12_7, inference(rat,[],[s29,s31,s32])).
cnf(s37, plain, $false, inference(rat,[],[s8,s33,s36])).
thf(f1185,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s37])).
% SZS output end Proof for theBenchmark