TSTP Solution File: ITP348_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:44:31 EDT 2023

% Result   : Theorem 247.25s 203.31s
% Output   : CNFRefutation 247.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33  % Computer : n032.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Aug  3 19:04:06 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 133.00/102.50  ***********************************************************************
% 133.00/102.50  After 99.3 sec it's time to try something different, got 99.2 sec left
% 133.00/102.50  ***********************************************************************
% 245.12/201.75  ***********************************************************************
% 245.12/201.75  After 198.5 sec it's time to try something different, got 99.2 sec left
% 245.12/201.75  ***********************************************************************
% 247.25/203.31  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 247.25/203.31  
% 247.25/203.31  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 247.46/203.34  %$ landau_pair$ > minus$a > member$a > member$ > less_eq$c > less_eq$b > less_eq$a > less_eq$ > less$c > less$b > less$a > less$ > fun_app$f > fun_app$c > fun_app$ > eventually$ > bfun$ > bounded_linear_axioms$ > uvq$ > uvs$ > uvr$ > uvo$ > uvm$ > uvj$ > uvh$ > uvf$ > uvb$ > uvn$ > uvi$ > uvg$ > uuy$ > uut$ > uus$ > uur$ > uuk$ > uuj$ > uui$ > uuh$ > uug$ > uuf$ > uue$ > uud$ > uuc$ > minus$b > fun_app$p > fun_app$o > fun_app$n > fun_app$m > fun_app$l > fun_app$k > fun_app$j > fun_app$i > fun_app$h > fun_app$g > fun_app$e > fun_app$d > fun_app$b > fun_app$a > def_9 > def_8 > def_7 > def_6 > def_5 > def_4 > def_3 > def_2 > def_12 > def_11 > def_10 > def_1 > #nlpp > uvp$ > uvl$ > uve$ > uvd$ > uva$ > uuz$ > uuq$ > uup$ > uuo$ > uun$ > uul$ > uub$ > uua$ > times$ > minus$c > minus$ > greaterThanLessThan$ > collect$ > uvk$ > uvc$ > uux$ > uuw$ > uuv$ > uuu$ > uum$ > uu$ > tltrue > tlfalse > smallomega$ > smallo$ > norm$ > g$ > f$a > f$ > collect$a > abs$ > #skF_224 > #skF_47 > #skF_28 > #skF_284 > #skF_69 > #skF_216 > #skF_84 > #skF_250 > #skF_113 > #skF_66 > #skF_71 > #skF_206 > #skF_4 > #skF_95 > #skF_221 > #skF_286 > #skF_2 > #skF_107 > #skF_215 > #skF_186 > #skF_49 > #skF_83 > #skF_25 > #skF_158 > #skF_11 > #skF_10 > #skF_214 > #skF_243 > #skF_22 > #skF_134 > #skF_228 > #skF_141 > #skF_167 > #skF_92 > #skF_207 > #skF_229 > #skF_153 > #skF_31 > #skF_162 > #skF_39 > #skF_128 > #skF_269 > #skF_98 > #skF_231 > #skF_287 > #skF_122 > #skF_80 > #skF_280 > #skF_124 > #skF_99 > #skF_223 > #skF_217 > #skF_138 > #skF_278 > #skF_261 > #skF_233 > #skF_244 > #skF_263 > #skF_54 > #skF_281 > #skF_24 > #skF_198 > #skF_51 > #skF_209 > #skF_27 > #skF_169 > #skF_147 > #skF_226 > #skF_294 > #skF_137 > #skF_86 > #skF_68 > #skF_112 > #skF_26 > #skF_132 > #skF_273 > #skF_105 > #skF_157 > #skF_295 > #skF_42 > #skF_87 > #skF_239 > #skF_172 > #skF_93 > #skF_78 > #skF_252 > #skF_121 > #skF_62 > #skF_143 > #skF_177 > #skF_74 > #skF_267 > #skF_43 > #skF_101 > #skF_208 > #skF_268 > #skF_130 > #skF_77 > #skF_237 > #skF_109 > #skF_36 > #skF_171 > #skF_235 > #skF_179 > #skF_12 > #skF_115 > #skF_108 > #skF_192 > #skF_276 > #skF_155 > #skF_178 > #skF_45 > #skF_168 > #skF_97 > #skF_64 > #skF_254 > #skF_176 > #skF_274 > #skF_248 > #skF_241 > #skF_3 > #skF_59 > #skF_145 > #skF_72 > #skF_232 > #skF_205 > #skF_293 > #skF_41 > #skF_297 > #skF_111 > #skF_6 > #skF_180 > #skF_203 > #skF_247 > #skF_222 > #skF_264 > #skF_103 > #skF_246 > #skF_123 > #skF_289 > #skF_245 > #skF_190 > #skF_15 > #skF_116 > #skF_76 > #skF_266 > #skF_265 > #skF_44 > #skF_82 > #skF_152 > #skF_150 > #skF_211 > #skF_118 > #skF_117 > #skF_292 > #skF_182 > #skF_19 > #skF_23 > #skF_272 > #skF_262 > #skF_106 > #skF_127 > #skF_79 > #skF_100 > #skF_114 > #skF_164 > #skF_242 > #skF_199 > #skF_230 > #skF_7 > #skF_170 > #skF_16 > #skF_57 > #skF_256 > #skF_140 > #skF_183 > #skF_187 > #skF_17 > #skF_144 > #skF_85 > #skF_60 > #skF_129 > #skF_277 > #skF_139 > #skF_271 > #skF_37 > #skF_50 > #skF_88 > #skF_288 > #skF_104 > #skF_160 > #skF_290 > #skF_55 > #skF_136 > #skF_67 > #skF_291 > #skF_90 > #skF_65 > #skF_259 > #skF_133 > #skF_48 > #skF_110 > #skF_33 > #skF_204 > #skF_161 > #skF_29 > #skF_218 > #skF_14 > #skF_234 > #skF_279 > #skF_189 > #skF_151 > #skF_251 > #skF_70 > #skF_30 > #skF_148 > #skF_282 > #skF_191 > #skF_73 > #skF_181 > #skF_81 > #skF_5 > #skF_240 > #skF_142 > #skF_34 > #skF_210 > #skF_53 > #skF_258 > #skF_193 > #skF_213 > #skF_260 > #skF_184 > #skF_18 > #skF_21 > #skF_175 > #skF_35 > #skF_255 > #skF_197 > #skF_89 > #skF_283 > #skF_174 > #skF_270 > #skF_200 > #skF_75 > #skF_32 > #skF_40 > #skF_91 > #skF_195 > #skF_8 > #skF_56 > #skF_94 > #skF_131 > #skF_102 > #skF_173 > #skF_236 > #skF_58 > #skF_165 > #skF_1 > #skF_285 > #skF_188 > #skF_63 > #skF_159 > #skF_154 > #skF_119 > #skF_156 > #skF_238 > #skF_9 > #skF_220 > #skF_249 > #skF_96 > #skF_219 > #skF_20 > #skF_201 > #skF_275 > #skF_163 > #skF_225 > #skF_46 > #skF_196 > #skF_253 > #skF_185 > #skF_227 > #skF_135 > #skF_52 > #skF_212 > #skF_126 > #skF_194 > #skF_296 > #skF_149 > #skF_38 > #skF_13 > #skF_125 > #skF_166 > #skF_202 > #skF_120 > #skF_146 > #skF_61 > #skF_257
% 247.46/203.34  
% 247.46/203.34  %Foreground sorts:
% 247.46/203.34  tff(A$, type, A$: $tType ).
% 247.46/203.34  tff(Real_real_bool_fun_fun$, type, Real_real_bool_fun_fun$: $tType ).
% 247.46/203.34  tff(Real_set$, type, Real_set$: $tType ).
% 247.46/203.34  tff(tlbool, type, tlbool: $tType ).
% 247.46/203.34  tff(A_real_fun$, type, A_real_fun$: $tType ).
% 247.46/203.34  tff(A_bool_fun$, type, A_bool_fun$: $tType ).
% 247.46/203.34  tff(A_filter$, type, A_filter$: $tType ).
% 247.46/203.34  tff(A_real_fun_a_real_fun_set_fun$, type, A_real_fun_a_real_fun_set_fun$: $tType ).
% 247.46/203.34  tff(Real_real_set_fun$, type, Real_real_set_fun$: $tType ).
% 247.46/203.34  tff(Real_set_real_bool_fun_fun$, type, Real_set_real_bool_fun_fun$: $tType ).
% 247.46/203.34  tff(A_filter_a_real_fun_a_real_fun_set_fun_fun$, type, A_filter_a_real_fun_a_real_fun_set_fun_fun$: $tType ).
% 247.46/203.34  tff(Real_set_real_set_fun$, type, Real_set_real_set_fun$: $tType ).
% 247.46/203.34  tff(A_real_fun_bool_fun$, type, A_real_fun_bool_fun$: $tType ).
% 247.46/203.34  tff(Real_bool_fun$, type, Real_bool_fun$: $tType ).
% 247.46/203.34  tff(A_real_bool_fun_fun$, type, A_real_bool_fun_fun$: $tType ).
% 247.46/203.34  tff(A_real_set_fun$, type, A_real_set_fun$: $tType ).
% 247.46/203.34  tff(Real_set_real_fun$, type, Real_set_real_fun$: $tType ).
% 247.46/203.34  tff(Real_bool_fun_real_bool_fun_fun$, type, Real_bool_fun_real_bool_fun_fun$: $tType ).
% 247.46/203.34  tff(A_real_fun_set$, type, A_real_fun_set$: $tType ).
% 247.46/203.34  tff(Real_bool_fun_real_set_fun$, type, Real_bool_fun_real_set_fun$: $tType ).
% 247.46/203.34  tff(Real_bool_fun_real_fun$, type, Real_bool_fun_real_fun$: $tType ).
% 247.46/203.34  tff(Real_real_fun$, type, Real_real_fun$: $tType ).
% 247.46/203.34  
% 247.46/203.34  %Background operators:
% 247.46/203.34  tff(l$, type, l$: $real).
% 247.46/203.34  tff(e$, type, e$: $real).
% 247.46/203.34  tff(u$, type, u$: $real).
% 247.46/203.34  tff(c2$, type, c2$: $real).
% 247.46/203.34  tff(c1$, type, c1$: $real).
% 247.46/203.34  tff(c$, type, c$: $real).
% 247.46/203.34  
% 247.46/203.34  %Foreground operators:
% 247.46/203.34  tff('#skF_224', type, '#skF_224': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(collect$, type, collect$: A_real_fun_bool_fun$ > A_real_fun_set$).
% 247.46/203.34  tff('#skF_47', type, '#skF_47': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uul$, type, uul$: A_real_fun_set$ > A_real_fun_bool_fun$).
% 247.46/203.34  tff(less$b, type, less$b: (A_real_fun_set$ * A_real_fun_set$) > $o).
% 247.46/203.34  tff('#skF_28', type, '#skF_28': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_284', type, '#skF_284': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_69', type, '#skF_69': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_216', type, '#skF_216': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(def_6, type, def_6: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_84', type, '#skF_84': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_250', type, '#skF_250': (A_real_fun$ * A_filter$) > $real).
% 247.46/203.34  tff('#skF_113', type, '#skF_113': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_66', type, '#skF_66': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uvq$, type, uvq$: (Real_real_bool_fun_fun$ * A_real_fun$ * A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_71', type, '#skF_71': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_206', type, '#skF_206': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_4', type, '#skF_4': (Real_real_bool_fun_fun$ * A_filter$ * A_real_fun$ * A_real_fun$) > $real).
% 247.46/203.34  tff('#skF_95', type, '#skF_95': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_221', type, '#skF_221': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(uuq$, type, uuq$: A_real_fun$ > A_bool_fun$).
% 247.46/203.34  tff(bfun$, type, bfun$: (A_real_fun$ * A_filter$) > $o).
% 247.46/203.34  tff('#skF_286', type, '#skF_286': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_2', type, '#skF_2': (A_filter$ * A_real_fun$ * A_real_fun$) > $real).
% 247.46/203.34  tff('#skF_107', type, '#skF_107': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_215', type, '#skF_215': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_186', type, '#skF_186': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_49', type, '#skF_49': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_83', type, '#skF_83': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_25', type, '#skF_25': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_158', type, '#skF_158': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_11', type, '#skF_11': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_10', type, '#skF_10': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff(uvn$, type, uvn$: (A_real_fun$ * A_real_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_214', type, '#skF_214': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_243', type, '#skF_243': ($real * $real * Real_real_bool_fun_fun$) > $real).
% 247.46/203.34  tff('#skF_22', type, '#skF_22': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_134', type, '#skF_134': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_228', type, '#skF_228': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_141', type, '#skF_141': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_167', type, '#skF_167': ($real * $real) > $real).
% 247.46/203.34  tff('#skF_92', type, '#skF_92': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_207', type, '#skF_207': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(fun_app$o, type, fun_app$o: (A_real_fun_a_real_fun_set_fun$ * A_real_fun$) > A_real_fun_set$).
% 247.46/203.34  tff('#skF_229', type, '#skF_229': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_153', type, '#skF_153': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_31', type, '#skF_31': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uuh$, type, uuh$: (A_real_fun$ * A_real_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_162', type, '#skF_162': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_39', type, '#skF_39': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_128', type, '#skF_128': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_269', type, '#skF_269': ($real * $real) > $real).
% 247.46/203.34  tff(fun_app$i, type, fun_app$i: (A_real_bool_fun_fun$ * A$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_98', type, '#skF_98': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_231', type, '#skF_231': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_287', type, '#skF_287': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff(abs$, type, abs$: Real_real_fun$).
% 247.46/203.34  tff('#skF_122', type, '#skF_122': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff(def_3, type, def_3: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_80', type, '#skF_80': (Real_bool_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff(def_1, type, def_1: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_280', type, '#skF_280': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_124', type, '#skF_124': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff(f$a, type, f$a: A_filter$).
% 247.46/203.34  tff('#skF_99', type, '#skF_99': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_223', type, '#skF_223': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_217', type, '#skF_217': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_138', type, '#skF_138': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uuz$, type, uuz$: $real > A_real_fun$).
% 247.46/203.34  tff('#skF_278', type, '#skF_278': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_261', type, '#skF_261': (Real_bool_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_233', type, '#skF_233': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff(minus$c, type, minus$c: Real_set$ > Real_set_real_set_fun$).
% 247.46/203.34  tff(fun_app$n, type, fun_app$n: (Real_bool_fun_real_set_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff(uvi$, type, uvi$: (A_filter$ * A_real_fun$) > A_real_fun_bool_fun$).
% 247.46/203.34  tff('#skF_244', type, '#skF_244': ($real * $real * Real_real_bool_fun_fun$) > $real).
% 247.46/203.34  tff(uud$, type, uud$: (A_real_set_fun$ * A_real_set_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_263', type, '#skF_263': Real_real_fun$ > $real).
% 247.46/203.34  tff('#skF_54', type, '#skF_54': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_281', type, '#skF_281': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff(minus$b, type, minus$b: (A_real_fun_set$ * A_real_fun_set$) > A_real_fun_set$).
% 247.46/203.34  tff('#skF_24', type, '#skF_24': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(uux$, type, uux$: Real_real_bool_fun_fun$).
% 247.46/203.34  tff(fun_app$g, type, fun_app$g: (Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_198', type, '#skF_198': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_51', type, '#skF_51': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_209', type, '#skF_209': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(uuc$, type, uuc$: (A_real_set_fun$ * A_real_set_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_27', type, '#skF_27': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_169', type, '#skF_169': ($real * $real * $real) > $real).
% 247.46/203.34  tff(eventually$, type, eventually$: (A_bool_fun$ * A_filter$) > $o).
% 247.46/203.34  tff('#skF_147', type, '#skF_147': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_226', type, '#skF_226': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_294', type, '#skF_294': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff(uvl$, type, uvl$: A_real_fun$ > A_bool_fun$).
% 247.46/203.34  tff(greaterThanLessThan$, type, greaterThanLessThan$: $real > Real_real_set_fun$).
% 247.46/203.34  tff('#skF_137', type, '#skF_137': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_86', type, '#skF_86': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(fun_app$h, type, fun_app$h: (A_real_set_fun$ * A$) > Real_set$).
% 247.46/203.34  tff('#skF_68', type, '#skF_68': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_112', type, '#skF_112': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_26', type, '#skF_26': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(tlfalse, type, tlfalse: tlbool).
% 247.46/203.34  tff('#skF_132', type, '#skF_132': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_273', type, '#skF_273': ($real * $real * $real) > $real).
% 247.46/203.34  tff(def_9, type, def_9: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff(member$a, type, member$a: (A_real_fun$ * A_real_fun_set$) > $o).
% 247.46/203.34  tff('#skF_105', type, '#skF_105': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_157', type, '#skF_157': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_295', type, '#skF_295': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff(fun_app$a, type, fun_app$a: (Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff(uub$, type, uub$: $real > A_bool_fun$).
% 247.46/203.34  tff('#skF_42', type, '#skF_42': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff(uuf$, type, uuf$: (A_real_bool_fun_fun$ * A_real_bool_fun_fun$) > A_bool_fun$).
% 247.46/203.34  tff(uut$, type, uut$: (A_real_fun$ * A_real_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_87', type, '#skF_87': $real > $real).
% 247.46/203.34  tff(fun_app$j, type, fun_app$j: (Real_real_set_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_239', type, '#skF_239': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_172', type, '#skF_172': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(smallomega$, type, smallomega$: A_filter_a_real_fun_a_real_fun_set_fun_fun$).
% 247.46/203.34  tff('#skF_93', type, '#skF_93': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_78', type, '#skF_78': (Real_bool_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff(uuw$, type, uuw$: Real_real_bool_fun_fun$).
% 247.46/203.34  tff('#skF_252', type, '#skF_252': (Real_set$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_121', type, '#skF_121': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_62', type, '#skF_62': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_143', type, '#skF_143': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_177', type, '#skF_177': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_74', type, '#skF_74': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(def_11, type, def_11: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_267', type, '#skF_267': Real_set$ > $real).
% 247.46/203.34  tff('#skF_43', type, '#skF_43': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_101', type, '#skF_101': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_208', type, '#skF_208': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_268', type, '#skF_268': (Real_set$ * $real) > $real).
% 247.46/203.34  tff(fun_app$d, type, fun_app$d: (Real_real_bool_fun_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff(bounded_linear_axioms$, type, bounded_linear_axioms$: Real_real_fun$ > $o).
% 247.46/203.34  tff('#skF_130', type, '#skF_130': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_77', type, '#skF_77': (Real_bool_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_237', type, '#skF_237': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_109', type, '#skF_109': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(fun_app$m, type, fun_app$m: (Real_bool_fun_real_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_36', type, '#skF_36': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_171', type, '#skF_171': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_235', type, '#skF_235': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_179', type, '#skF_179': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_12', type, '#skF_12': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uus$, type, uus$: (A_real_bool_fun_fun$ * A_real_bool_fun_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_115', type, '#skF_115': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_108', type, '#skF_108': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_192', type, '#skF_192': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff(uvc$, type, uvc$: A_real_fun$).
% 247.46/203.34  tff(uvp$, type, uvp$: $real > Real_real_fun$).
% 247.46/203.34  tff('#skF_276', type, '#skF_276': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_155', type, '#skF_155': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(def_5, type, def_5: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_178', type, '#skF_178': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uur$, type, uur$: (A_real_set_fun$ * A_real_set_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_45', type, '#skF_45': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_168', type, '#skF_168': ($real * $real) > $real).
% 247.46/203.34  tff(landau_pair$, type, landau_pair$: (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$) > $o).
% 247.46/203.34  tff(uvo$, type, uvo$: (A_real_fun$ * A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_97', type, '#skF_97': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_64', type, '#skF_64': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(less$a, type, less$a: (Real_bool_fun$ * Real_bool_fun$) > $o).
% 247.46/203.34  tff(member$, type, member$: ($real * Real_set$) > $o).
% 247.46/203.34  tff('#skF_254', type, '#skF_254': (Real_set$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_176', type, '#skF_176': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_274', type, '#skF_274': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_248', type, '#skF_248': ($real * $real * Real_real_bool_fun_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_241', type, '#skF_241': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_3', type, '#skF_3': (Real_real_bool_fun_fun$ * A_filter$ * A_real_fun$ * A_real_fun$) > $real).
% 247.46/203.34  tff('#skF_59', type, '#skF_59': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_145', type, '#skF_145': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_72', type, '#skF_72': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(norm$, type, norm$: Real_real_fun$).
% 247.46/203.34  tff('#skF_232', type, '#skF_232': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_205', type, '#skF_205': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff(less$, type, less$: (Real_set$ * Real_set$) > $o).
% 247.46/203.34  tff(fun_app$, type, fun_app$: (A_bool_fun$ * A$) > $o).
% 247.46/203.34  tff('#skF_293', type, '#skF_293': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff('#skF_41', type, '#skF_41': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_297', type, '#skF_297': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff('#skF_111', type, '#skF_111': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(def_10, type, def_10: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_6', type, '#skF_6': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_180', type, '#skF_180': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_203', type, '#skF_203': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_247', type, '#skF_247': ($real * $real * Real_real_bool_fun_fun$ * $real) > $real).
% 247.46/203.34  tff(uva$, type, uva$: Real_set$ > Real_bool_fun_real_bool_fun_fun$).
% 247.46/203.34  tff('#skF_222', type, '#skF_222': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(def_12, type, def_12: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_264', type, '#skF_264': (Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_103', type, '#skF_103': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_246', type, '#skF_246': ($real * $real * Real_real_bool_fun_fun$) > $real).
% 247.46/203.34  tff('#skF_123', type, '#skF_123': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_289', type, '#skF_289': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff(uvb$, type, uvb$: (A_real_fun$ * A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_245', type, '#skF_245': ($real * $real * Real_real_bool_fun_fun$) > $real).
% 247.46/203.34  tff(uuj$, type, uuj$: (A_real_bool_fun_fun$ * A_real_bool_fun_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_190', type, '#skF_190': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_15', type, '#skF_15': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_116', type, '#skF_116': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff(less_eq$a, type, less_eq$a: (Real_bool_fun$ * Real_bool_fun$) > $o).
% 247.46/203.34  tff(minus$a, type, minus$a: (tlbool * tlbool) > $o).
% 247.46/203.34  tff('#skF_76', type, '#skF_76': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_266', type, '#skF_266': (Real_set$ * $real) > $real).
% 247.46/203.34  tff('#skF_265', type, '#skF_265': (A_real_fun$ * A_real_fun$ * A_filter$) > $real).
% 247.46/203.34  tff(uuo$, type, uuo$: A_real_fun$ > A_bool_fun$).
% 247.46/203.34  tff('#skF_44', type, '#skF_44': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_82', type, '#skF_82': (A_real_fun_bool_fun$ * A_real_fun_bool_fun$) > A_real_fun$).
% 247.46/203.34  tff('#skF_152', type, '#skF_152': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_150', type, '#skF_150': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_211', type, '#skF_211': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_118', type, '#skF_118': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_117', type, '#skF_117': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_292', type, '#skF_292': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_182', type, '#skF_182': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_19', type, '#skF_19': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(uuu$, type, uuu$: Real_real_fun$).
% 247.46/203.34  tff('#skF_23', type, '#skF_23': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_272', type, '#skF_272': ($real * $real * $real) > $real).
% 247.46/203.34  tff('#skF_262', type, '#skF_262': (Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_106', type, '#skF_106': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_127', type, '#skF_127': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(fun_app$p, type, fun_app$p: (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter$) > A_real_fun_a_real_fun_set_fun$).
% 247.46/203.34  tff('#skF_79', type, '#skF_79': (Real_bool_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_100', type, '#skF_100': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_114', type, '#skF_114': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_164', type, '#skF_164': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_242', type, '#skF_242': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_199', type, '#skF_199': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_230', type, '#skF_230': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff(less_eq$c, type, less_eq$c: (A_real_fun_set$ * A_real_fun_set$) > $o).
% 247.46/203.34  tff('#skF_7', type, '#skF_7': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_170', type, '#skF_170': ($real * $real * $real) > $real).
% 247.46/203.34  tff(uu$, type, uu$: A_bool_fun$).
% 247.46/203.34  tff('#skF_16', type, '#skF_16': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff(uvj$, type, uvj$: (A_real_fun$ * A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_57', type, '#skF_57': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff(uua$, type, uua$: $real > A_bool_fun$).
% 247.46/203.34  tff('#skF_256', type, '#skF_256': (Real_set$ * Real_set$) > $real).
% 247.46/203.34  tff(g$, type, g$: A_real_fun$).
% 247.46/203.34  tff('#skF_140', type, '#skF_140': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_183', type, '#skF_183': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(collect$a, type, collect$a: Real_bool_fun_real_set_fun$).
% 247.46/203.34  tff('#skF_187', type, '#skF_187': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_17', type, '#skF_17': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_144', type, '#skF_144': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uvh$, type, uvh$: (A_real_fun$ * A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_85', type, '#skF_85': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_60', type, '#skF_60': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_129', type, '#skF_129': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_277', type, '#skF_277': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff(uvr$, type, uvr$: (Real_real_bool_fun_fun$ * A_filter$ * A_real_fun$) > A_real_fun_bool_fun$).
% 247.46/203.34  tff('#skF_139', type, '#skF_139': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_271', type, '#skF_271': $real > $real).
% 247.46/203.34  tff('#skF_37', type, '#skF_37': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(uve$, type, uve$: Real_set$ > Real_set_real_bool_fun_fun$).
% 247.46/203.34  tff('#skF_50', type, '#skF_50': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_88', type, '#skF_88': $real > $real).
% 247.46/203.34  tff('#skF_288', type, '#skF_288': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_104', type, '#skF_104': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(less_eq$b, type, less_eq$b: (tlbool * tlbool) > $o).
% 247.46/203.34  tff('#skF_160', type, '#skF_160': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_290', type, '#skF_290': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_55', type, '#skF_55': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(smallo$, type, smallo$: A_filter_a_real_fun_a_real_fun_set_fun_fun$).
% 247.46/203.34  tff('#skF_136', type, '#skF_136': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_67', type, '#skF_67': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_291', type, '#skF_291': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff('#skF_90', type, '#skF_90': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(fun_app$e, type, fun_app$e: (Real_set_real_bool_fun_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_65', type, '#skF_65': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_259', type, '#skF_259': (A_real_fun_bool_fun$ * A_real_fun_bool_fun$) > A_real_fun$).
% 247.46/203.34  tff('#skF_133', type, '#skF_133': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_48', type, '#skF_48': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_110', type, '#skF_110': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_33', type, '#skF_33': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_204', type, '#skF_204': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(uug$, type, uug$: (A_real_fun$ * A_real_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_161', type, '#skF_161': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_29', type, '#skF_29': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_218', type, '#skF_218': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(uue$, type, uue$: (A_real_bool_fun_fun$ * A_real_bool_fun_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_14', type, '#skF_14': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_234', type, '#skF_234': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_279', type, '#skF_279': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff(uum$, type, uum$: Real_set_real_bool_fun_fun$).
% 247.46/203.34  tff('#skF_189', type, '#skF_189': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff(less_eq$, type, less_eq$: (Real_set$ * Real_set$) > $o).
% 247.46/203.34  tff('#skF_151', type, '#skF_151': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_251', type, '#skF_251': (A_real_fun_set$ * A_real_fun_set$) > A_real_fun$).
% 247.46/203.34  tff('#skF_70', type, '#skF_70': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_30', type, '#skF_30': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_148', type, '#skF_148': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_282', type, '#skF_282': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_191', type, '#skF_191': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_73', type, '#skF_73': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(minus$, type, minus$: Real_bool_fun$ > Real_bool_fun_real_bool_fun_fun$).
% 247.46/203.34  tff(fun_app$f, type, fun_app$f: (A_real_fun_bool_fun$ * A_real_fun$) > $o).
% 247.46/203.34  tff('#skF_181', type, '#skF_181': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_81', type, '#skF_81': (A_real_fun_bool_fun$ * A_real_fun_bool_fun$) > A_real_fun$).
% 247.46/203.34  tff(fun_app$l, type, fun_app$l: (Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_5', type, '#skF_5': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_240', type, '#skF_240': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_142', type, '#skF_142': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_34', type, '#skF_34': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_210', type, '#skF_210': (Real_bool_fun$ * Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_53', type, '#skF_53': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff(uvg$, type, uvg$: (A_filter$ * A_real_fun$) > A_real_fun_bool_fun$).
% 247.46/203.34  tff('#skF_258', type, '#skF_258': (Real_set$ * Real_set$) > $real).
% 247.46/203.34  tff('#skF_193', type, '#skF_193': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_213', type, '#skF_213': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_260', type, '#skF_260': (Real_bool_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_184', type, '#skF_184': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(fun_app$b, type, fun_app$b: (A_real_fun$ * A$) > $real).
% 247.46/203.34  tff('#skF_18', type, '#skF_18': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_21', type, '#skF_21': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_175', type, '#skF_175': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_35', type, '#skF_35': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_255', type, '#skF_255': (A_real_fun_set$ * A_real_fun_set$) > A_real_fun$).
% 247.46/203.34  tff('#skF_197', type, '#skF_197': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff(def_2, type, def_2: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_89', type, '#skF_89': ($real * $real) > $real).
% 247.46/203.34  tff('#skF_283', type, '#skF_283': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff(uui$, type, uui$: (A_real_set_fun$ * A_real_set_fun$) > A_bool_fun$).
% 247.46/203.34  tff(uvm$, type, uvm$: (A_real_fun$ * A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_174', type, '#skF_174': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_270', type, '#skF_270': (A_real_fun$ * A_real_fun$ * A_filter$) > $real).
% 247.46/203.34  tff('#skF_200', type, '#skF_200': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_75', type, '#skF_75': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(fun_app$k, type, fun_app$k: (Real_set_real_fun$ * Real_set$) > $real).
% 247.46/203.34  tff(def_7, type, def_7: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff(fun_app$c, type, fun_app$c: (Real_bool_fun$ * $real) > $o).
% 247.46/203.34  tff(uun$, type, uun$: $real > Real_real_fun$).
% 247.46/203.34  tff('#skF_32', type, '#skF_32': (Real_bool_fun$ * Real_set_real_bool_fun_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(less$c, type, less$c: (A_real_fun_bool_fun$ * A_real_fun_bool_fun$) > $o).
% 247.46/203.34  tff('#skF_40', type, '#skF_40': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_91', type, '#skF_91': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_195', type, '#skF_195': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(uvs$, type, uvs$: (Real_real_bool_fun_fun$ * A_filter$ * A_real_fun$) > A_real_fun_bool_fun$).
% 247.46/203.34  tff('#skF_8', type, '#skF_8': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff(uvf$, type, uvf$: (A_real_fun$ * A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_56', type, '#skF_56': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_94', type, '#skF_94': (Real_real_bool_fun_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_131', type, '#skF_131': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff(def_4, type, def_4: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_102', type, '#skF_102': (Real_set$ * Real_set_real_set_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_173', type, '#skF_173': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(tltrue, type, tltrue: tlbool).
% 247.46/203.34  tff('#skF_236', type, '#skF_236': ($real * $real * Real_real_bool_fun_fun$ * Real_bool_fun$) > $real).
% 247.46/203.34  tff('#skF_58', type, '#skF_58': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_165', type, '#skF_165': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_1', type, '#skF_1': (A_filter$ * A_real_fun$ * A_real_fun$) > $real).
% 247.46/203.34  tff('#skF_285', type, '#skF_285': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff('#skF_188', type, '#skF_188': ($real * Real_real_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_63', type, '#skF_63': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_159', type, '#skF_159': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_154', type, '#skF_154': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_119', type, '#skF_119': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_156', type, '#skF_156': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_238', type, '#skF_238': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff('#skF_9', type, '#skF_9': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_220', type, '#skF_220': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_249', type, '#skF_249': (A_real_fun$ * A_filter$) > $real).
% 247.46/203.34  tff('#skF_96', type, '#skF_96': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff('#skF_219', type, '#skF_219': (Real_set$ * Real_bool_fun_real_set_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_20', type, '#skF_20': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_201', type, '#skF_201': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_275', type, '#skF_275': (A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_real_fun$).
% 247.46/203.34  tff('#skF_163', type, '#skF_163': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_225', type, '#skF_225': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_46', type, '#skF_46': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff('#skF_196', type, '#skF_196': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_253', type, '#skF_253': (A_real_fun_set$ * A_real_fun_set$) > A_real_fun$).
% 247.46/203.34  tff('#skF_185', type, '#skF_185': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_227', type, '#skF_227': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff(times$, type, times$: $real > Real_real_fun$).
% 247.46/203.34  tff('#skF_135', type, '#skF_135': (Real_set$ * Real_real_set_fun$ * $real * $real) > $real).
% 247.46/203.34  tff(uuy$, type, uuy$: (A_real_fun$ * $real) > A_bool_fun$).
% 247.46/203.34  tff('#skF_52', type, '#skF_52': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_fun$ * $real) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_212', type, '#skF_212': ($real * Real_set_real_fun$ * Real_set$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_126', type, '#skF_126': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_194', type, '#skF_194': (Real_set$ * Real_set$ * Real_set_real_fun$ * $real) > Real_set$).
% 247.46/203.34  tff(uvk$, type, uvk$: Real_real_bool_fun_fun$).
% 247.46/203.34  tff('#skF_296', type, '#skF_296': (Real_real_bool_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$ * A_filter_a_real_fun_a_real_fun_set_fun_fun$) > A_filter$).
% 247.46/203.34  tff('#skF_149', type, '#skF_149': ($real * $real * Real_real_set_fun$ * Real_set$) > $real).
% 247.46/203.34  tff(uvd$, type, uvd$: A_real_fun$ > A_bool_fun$).
% 247.46/203.34  tff(def_8, type, def_8: (Real_bool_fun$ * $real) > tlbool).
% 247.46/203.34  tff('#skF_38', type, '#skF_38': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(f$, type, f$: A_real_fun$).
% 247.46/203.34  tff(uuv$, type, uuv$: Real_real_fun$).
% 247.46/203.34  tff('#skF_13', type, '#skF_13': (Real_set$ * Real_set$ * Real_set_real_bool_fun_fun$ * Real_bool_fun$) > Real_set$).
% 247.46/203.34  tff(uup$, type, uup$: A_real_fun$ > A_bool_fun$).
% 247.46/203.34  tff('#skF_125', type, '#skF_125': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_166', type, '#skF_166': ($real * $real * Real_real_fun$ * $real) > $real).
% 247.46/203.34  tff('#skF_202', type, '#skF_202': (Real_bool_fun$ * Real_bool_fun$ * Real_bool_fun_real_set_fun$ * Real_set$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_120', type, '#skF_120': (Real_set$ * Real_set$ * Real_set_real_set_fun$ * Real_set$) > Real_set$).
% 247.46/203.34  tff('#skF_146', type, '#skF_146': (Real_bool_fun$ * Real_bool_fun_real_bool_fun_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff(uuk$, type, uuk$: (A_real_fun$ * A_real_fun$) > A_bool_fun$).
% 247.46/203.34  tff('#skF_61', type, '#skF_61': ($real * Real_bool_fun_real_fun$ * Real_bool_fun$ * Real_bool_fun$) > Real_bool_fun$).
% 247.46/203.34  tff('#skF_257', type, '#skF_257': (A_real_fun_set$ * A_real_fun_set$) > A_real_fun$).
% 247.46/203.34  
% 247.46/203.34  tff(f_3703, axiom, (![A__questionmark_v0a:$real, A__questionmark_v1a:$real]: ((A__questionmark_v0a = A__questionmark_v1a) <=> ($difference(A__questionmark_v0a, A__questionmark_v1a) = 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom472)).
% 247.46/203.34  tff(f_3655, axiom, (![A__questionmark_v0a:$real, A__questionmark_v1a:$real, A__questionmark_v2a:$real]: ($difference($difference(A__questionmark_v0a, A__questionmark_v1a), A__questionmark_v2a) = $difference($difference(A__questionmark_v0a, A__questionmark_v2a), A__questionmark_v1a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom466)).
% 247.46/203.34  tff(c_657187, plain, (![A__questionmark_v0_171725:$real]: ($difference(A__questionmark_v0_171725, A__questionmark_v0_171725)=0)), inference(cnfTransformation, [status(thm)], [f_3703])).
% 247.46/203.34  tff(c_667715, plain, (![A__questionmark_v0_182921:$real, A__questionmark_v2_182922:$real, A__questionmark_v1_182923:$real]: ($difference($difference(A__questionmark_v0_182921, A__questionmark_v2_182922), A__questionmark_v1_182923)=$difference($difference(A__questionmark_v0_182921, A__questionmark_v1_182923), A__questionmark_v2_182922))), inference(cnfTransformation, [status(thm)], [f_3655])).
% 247.46/203.34  tff(c_667849, plain, (![X_183016:$real, A__questionmark_v0_171725:$real, A__questionmark_v1_182923:$real]: ($difference(X_183016, A__questionmark_v0_171725)=$difference(0, A__questionmark_v1_182923) | X_183016!=$difference(A__questionmark_v0_171725, A__questionmark_v1_182923))), inference(superposition, [status(thm), theory('equality')], [c_657187, c_667715])).
% 247.46/203.34  tff(c_667886, plain, (![A__questionmark_v0_171725:$real, A__questionmark_v1_182923:$real]: ($difference($difference(A__questionmark_v0_171725, A__questionmark_v1_182923), A__questionmark_v0_171725)=A__questionmark_v1_182923)), inference(backgroundSimplification, [status(thm), theory('LFA')], [c_667849])).
% 247.46/203.34  tff(c_667888, plain, (![A__questionmark_v1_182923:$real]: (~$less(0, $product(2, A__questionmark_v1_182923)))), inference(quantifierElimination, [status(thm), theory('LFA')], [c_667886])).
% 247.46/203.34  tff(c_667890, plain, (![A__questionmark_v1_182923:$real]: (~$less(0, A__questionmark_v1_182923))), inference(backgroundSimplification, [status(thm), theory('LFA')], [c_667888])).
% 247.46/203.34  tff(c_667892, plain, $false, inference(quantifierElimination, [status(thm), theory('LFA')], [c_667890])).
% 247.46/203.34  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 247.46/203.34  
% 247.46/203.34  Inference rules
% 247.46/203.34  ----------------------
% 247.46/203.34  #Ref     : 6
% 247.46/203.34  #Sup     : 164986
% 247.46/203.34  #Fact    : 3
% 247.46/203.34  #Define  : 0
% 247.46/203.34  #Split   : 7
% 247.46/203.34  #Chain   : 0
% 247.46/203.34  #Close   : 0
% 247.46/203.34  
% 247.46/203.34  Ordering : LPO
% 247.46/203.34  
% 247.46/203.34  Simplification rules
% 247.46/203.34  ----------------------
% 247.46/203.34  #Subsume      : 62177
% 247.46/203.34  #Demod        : 28798
% 247.46/203.34  #Tautology    : 49297
% 247.46/203.34  #SimpNegUnit  : 25013
% 247.46/203.34  #BackRed      : 88
% 247.46/203.34  
% 247.46/203.34  #Partial instantiations: 6422
% 247.46/203.34  #Strategies tried      : 3
% 247.46/203.34  
% 247.46/203.34  Timing (in seconds)
% 247.46/203.34  ----------------------
% 247.46/203.35  Preprocessing        : 2.24
% 247.46/203.35  Parsing              : 0.92
% 247.46/203.35  CNF conversion       : 0.18
% 247.46/203.35  Main loop            : 200.06
% 247.46/203.35  Inferencing          : 29.13
% 247.46/203.35  Reduction            : 54.11
% 247.46/203.35  Demodulation         : 36.66
% 247.46/203.35  BG Simplification    : 3.71
% 247.46/203.35  Subsumption          : 92.74
% 247.46/203.35  Abstraction          : 1.41
% 247.46/203.35  MUC search           : 0.00
% 247.46/203.35  Cooper               : 0.00
% 247.46/203.35  Total                : 202.36
% 247.46/203.35  Index Insertion      : 0.00
% 247.46/203.35  Index Deletion       : 0.00
% 247.46/203.35  Index Matching       : 0.00
% 247.46/203.35  BG Taut test         : 0.00
%------------------------------------------------------------------------------