TSTP Solution File: ITP404_1 by Beagle---0.9.51
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- 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 : n007.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 10:44:36 EDT 2023
% Result : Theorem 116.51s 90.50s
% Output : CNFRefutation 116.51s
% 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.
% 0.00/0.14 % 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
% 0.17/0.35 % Computer : n007.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 18:37:23 EDT 2023
% 0.17/0.35 % CPUTime :
% 116.51/90.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.51/90.51
% 116.51/90.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.51/90.54 %$ contracting$ > dilating$ > member$d > less_eq$g > less_eq$f > less_eq$e > less$f > less$e > fun_app$i > fun_app$h > fun_app$f > fun_app$e > fun_app$d > fun_app$ > finite$f > finite$e > finite$d > dense_run$ > uuz$ > uux$ > uvf$ > uve$ > uvd$ > uvc$ > uvb$ > uva$ > uuy$ > uuw$ > uuv$ > uuu$ > uut$ > uus$ > uuj$ > uui$ > uuh$ > uug$ > uuf$ > uue$ > uud$ > uuc$ > tick_count_strict$ > ordering_top$a > ordering_top$ > fun_app$s > fun_app$r > fun_app$q > fun_app$p > fun_app$o > fun_app$n > fun_app$m > fun_app$l > fun_app$k > fun_app$j > fun_app$g > fun_app$c > fun_app$b > fun_app$a > def_8 > def_7 > def_6 > def_5 > def_4 > def_3 > def_2 > def_1 > arg_min_on$a > arg_min_on$ > #nlpp > uvr$ > uvq$ > uvp$ > uvo$ > uvn$ > uvm$ > uuq$ > uup$ > uuo$ > uun$ > uul$ > uuk$ > uminus$c > uminus$b > uminus$a > uminus$ > nat$ > member$a > member$ > less_eq$c > less_eq$b > less_eq$a > less_eq$ > less$d > less$c > less$b > less$ > dil_inverse$ > collect$e > collect$d > collect$c > collect$b > collect$a > collect$ > zero$ > uvs$ > uvl$ > uvk$ > uvj$ > uvi$ > uvh$ > uvg$ > uur$ > uum$ > uub$ > uua$ > uu$ > tltrue > tlfalse > sub$ > r$ > of_nat$ > of_int$ > n$ > member$c > member$b > less_eq$d > less$a > is_empty$ > g$ > finite$c > finite$b > finite$a > finite$ > f$ > dbl_dec$ > bot$j > bot$i > bot$h > bot$g > bot$f > bot$e > bot$d > bot$c > bot$b > bot$a > bot$ > #skF_63 > #skF_168 > #skF_41 > #skF_3 > #skF_91 > #skF_10 > #skF_18 > #skF_149 > #skF_123 > #skF_50 > #skF_145 > #skF_46 > #skF_146 > #skF_95 > #skF_133 > #skF_2 > #skF_124 > #skF_48 > #skF_153 > #skF_59 > #skF_150 > #skF_142 > #skF_56 > #skF_53 > #skF_103 > #skF_165 > #skF_34 > #skF_7 > #skF_167 > #skF_21 > #skF_122 > #skF_112 > #skF_54 > #skF_151 > #skF_171 > #skF_29 > #skF_33 > #skF_66 > #skF_155 > #skF_85 > #skF_28 > #skF_93 > #skF_80 > #skF_82 > #skF_13 > #skF_17 > #skF_26 > #skF_35 > #skF_61 > #skF_106 > #skF_81 > #skF_131 > #skF_166 > #skF_42 > #skF_87 > #skF_60 > #skF_88 > #skF_138 > #skF_109 > #skF_77 > #skF_96 > #skF_16 > #skF_162 > #skF_32 > #skF_125 > #skF_163 > #skF_137 > #skF_76 > #skF_68 > #skF_135 > #skF_129 > #skF_143 > #skF_65 > #skF_15 > #skF_39 > #skF_19 > #skF_152 > #skF_71 > #skF_49 > #skF_57 > #skF_130 > #skF_62 > #skF_158 > #skF_20 > #skF_8 > #skF_159 > #skF_74 > #skF_69 > #skF_141 > #skF_44 > #skF_101 > #skF_14 > #skF_118 > #skF_127 > #skF_170 > #skF_108 > #skF_40 > #skF_52 > #skF_110 > #skF_121 > #skF_147 > #skF_161 > #skF_70 > #skF_115 > #skF_79 > #skF_51 > #skF_30 > #skF_75 > #skF_86 > #skF_116 > #skF_67 > #skF_156 > #skF_78 > #skF_36 > #skF_119 > #skF_113 > #skF_5 > #skF_144 > #skF_23 > #skF_55 > #skF_37 > #skF_100 > #skF_47 > #skF_157 > #skF_164 > #skF_1 > #skF_107 > #skF_120 > #skF_12 > #skF_72 > #skF_83 > #skF_22 > #skF_105 > #skF_136 > #skF_126 > #skF_102 > #skF_58 > #skF_111 > #skF_90 > #skF_140 > #skF_4 > #skF_43 > #skF_24 > #skF_104 > #skF_114 > #skF_134 > #skF_160 > #skF_117 > #skF_154 > #skF_92 > #skF_38 > #skF_148 > #skF_64 > #skF_89 > #skF_84 > #skF_132 > #skF_11 > #skF_97 > #skF_98 > #skF_94 > #skF_27 > #skF_25 > #skF_45 > #skF_99 > #skF_169 > #skF_128 > #skF_73 > #skF_9 > #skF_6 > #skF_31 > #skF_139
% 116.51/90.54
% 116.51/90.54 %Foreground sorts:
% 116.51/90.54 tff(Nat_set_set_set$, type, Nat_set_set_set$: $tType ).
% 116.51/90.54 tff(Int_nat_bool_fun_fun$, type, Int_nat_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Int_set$, type, Int_set$: $tType ).
% 116.51/90.54 tff(Nat_nat_bool_fun_fun$, type, Nat_nat_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Nat$, type, Nat$: $tType ).
% 116.51/90.54 tff(tlbool, type, tlbool: $tType ).
% 116.51/90.54 tff(Int_int_fun$, type, Int_int_fun$: $tType ).
% 116.51/90.54 tff(Int_set_int_bool_fun_fun$, type, Int_set_int_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Int_set_set$, type, Int_set_set$: $tType ).
% 116.51/90.54 tff(Nat_nat_fun$, type, Nat_nat_fun$: $tType ).
% 116.51/90.54 tff(Nat_int_fun$, type, Nat_int_fun$: $tType ).
% 116.51/90.54 tff(Nat_set_set$, type, Nat_set_set$: $tType ).
% 116.51/90.54 tff(A_run$, type, A_run$: $tType ).
% 116.51/90.54 tff(Nat_set$, type, Nat_set$: $tType ).
% 116.51/90.54 tff(Nat_set_set_bool_fun$, type, Nat_set_set_bool_fun$: $tType ).
% 116.51/90.54 tff(Int_int_bool_fun_fun$, type, Int_int_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Int_set_nat_bool_fun_fun$, type, Int_set_nat_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Nat_nat_set_bool_fun_fun$, type, Nat_nat_set_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Clock$, type, Clock$: $tType ).
% 116.51/90.54 tff(Nat_bool_fun$, type, Nat_bool_fun$: $tType ).
% 116.51/90.54 tff(Nat_set_nat_set_bool_fun_fun$, type, Nat_set_nat_set_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Int_set_set_set$, type, Int_set_set_set$: $tType ).
% 116.51/90.54 tff(Int_set_bool_fun$, type, Int_set_bool_fun$: $tType ).
% 116.51/90.54 tff(Int_set_set_bool_fun$, type, Int_set_set_bool_fun$: $tType ).
% 116.51/90.54 tff(Nat_bool_fun_set$, type, Nat_bool_fun_set$: $tType ).
% 116.51/90.54 tff(Nat_int_set_bool_fun_fun$, type, Nat_int_set_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Nat_set_bool_fun$, type, Nat_set_bool_fun$: $tType ).
% 116.51/90.54 tff(Int_bool_fun$, type, Int_bool_fun$: $tType ).
% 116.51/90.54 tff(Nat_int_bool_fun_fun$, type, Nat_int_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Int_nat_set_bool_fun_fun$, type, Int_nat_set_bool_fun_fun$: $tType ).
% 116.51/90.54 tff(Int_int_set_bool_fun_fun$, type, Int_int_set_bool_fun_fun$: $tType ).
% 116.51/90.54
% 116.51/90.54 %Background operators:
% 116.51/90.54 tff('#skE_2', type, '#skE_2': $int).
% 116.51/90.54 tff('#skE_1', type, '#skE_1': $int).
% 116.51/90.54 tff('#skE_5', type, '#skE_5': $int).
% 116.51/90.54 tff('#skE_4', type, '#skE_4': $int).
% 116.51/90.54 tff('#skE_3', type, '#skE_3': $int).
% 116.51/90.54
% 116.51/90.54 %Foreground operators:
% 116.51/90.54 tff('#skF_63', type, '#skF_63': Int_set_set$ > Int_set$).
% 116.51/90.54 tff(uvh$, type, uvh$: Nat_bool_fun$).
% 116.51/90.54 tff('#skF_168', type, '#skF_168': (Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_41', type, '#skF_41': Int_set_bool_fun$ > Int_set$).
% 116.51/90.54 tff('#skF_3', type, '#skF_3': (Nat_nat_fun$ * A_run$ * A_run$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_91', type, '#skF_91': (Nat_set$ * Nat_set$) > Nat$).
% 116.51/90.54 tff('#skF_10', type, '#skF_10': (Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_18', type, '#skF_18': (Int_bool_fun$ * Int_bool_fun$) > $int).
% 116.51/90.54 tff('#skF_149', type, '#skF_149': $int > Nat$).
% 116.51/90.54 tff('#skF_123', type, '#skF_123': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(less$c, type, less$c: Nat_set_set$ > Nat_set_set_bool_fun$).
% 116.51/90.54 tff('#skF_50', type, '#skF_50': (Int_set_set$ * Int_set$) > Int_set$).
% 116.51/90.54 tff('#skF_145', type, '#skF_145': (Int_set$ * Int_set$ * Int_bool_fun$) > $int).
% 116.51/90.54 tff('#skF_46', type, '#skF_46': (Nat_set_set$ * Nat_set$) > Nat_set$).
% 116.51/90.54 tff('#skF_146', type, '#skF_146': (Nat_set$ * Nat_set$ * Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff(uuq$, type, uuq$: Nat_set$ > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_95', type, '#skF_95': (Int_bool_fun$ * Int_bool_fun$) > $int).
% 116.51/90.54 tff('#skF_133', type, '#skF_133': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_2', type, '#skF_2': (Nat$ * Nat_set$) > Nat$).
% 116.51/90.54 tff('#skF_124', type, '#skF_124': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(uvj$, type, uvj$: Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff(collect$a, type, collect$a: Int_set_bool_fun$ > Int_set_set$).
% 116.51/90.54 tff('#skF_48', type, '#skF_48': (Nat_set$ * Nat$) > Nat$).
% 116.51/90.54 tff(fun_app$f, type, fun_app$f: (Nat_set_bool_fun$ * Nat_set$) > $o).
% 116.51/90.54 tff('#skF_153', type, '#skF_153': (Nat_bool_fun$ * $int) > Nat$).
% 116.51/90.54 tff(fun_app$p, type, fun_app$p: (Int_nat_bool_fun_fun$ * $int) > Nat_bool_fun$).
% 116.51/90.54 tff(fun_app$i, type, fun_app$i: (Int_bool_fun$ * $int) > $o).
% 116.51/90.54 tff('#skF_59', type, '#skF_59': Nat_set_set$ > Nat_set$).
% 116.51/90.54 tff('#skF_150', type, '#skF_150': $int > Nat$).
% 116.51/90.54 tff('#skF_142', type, '#skF_142': (Nat$ * Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_56', type, '#skF_56': (Nat_nat_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff(uug$, type, uug$: (Int_set_bool_fun$ * Int_set_bool_fun$) > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_53', type, '#skF_53': (Nat_set$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_103', type, '#skF_103': (Nat_nat_bool_fun_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_165', type, '#skF_165': (Nat$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff(uvk$, type, uvk$: Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff(collect$d, type, collect$d: Int_set_set_bool_fun$ > Int_set_set_set$).
% 116.51/90.54 tff(r$, type, r$: A_run$).
% 116.51/90.54 tff(uus$, type, uus$: (Nat_set$ * Nat_nat_bool_fun_fun$) > Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff(def_1, type, def_1: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff('#skF_34', type, '#skF_34': (Int_set$ * Int_set_set$ * Int_int_set_bool_fun_fun$) > Int_set$).
% 116.51/90.54 tff('#skF_7', type, '#skF_7': (Nat_set$ * Nat_set_bool_fun$) > Nat_set$).
% 116.51/90.54 tff(fun_app$n, type, fun_app$n: (Nat_int_set_bool_fun_fun$ * Nat$) > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_167', type, '#skF_167': (Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_21', type, '#skF_21': (Nat_set$ * Nat_set$ * Nat_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff('#skF_122', type, '#skF_122': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(def_5, type, def_5: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff('#skF_112', type, '#skF_112': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff(uvq$, type, uvq$: Int_bool_fun$ > Int_bool_fun$).
% 116.51/90.54 tff(uvn$, type, uvn$: $int > Int_int_bool_fun_fun$).
% 116.51/90.54 tff('#skF_54', type, '#skF_54': (Int_set$ * $int) > $int).
% 116.51/90.54 tff('#skF_151', type, '#skF_151': $int > Nat$).
% 116.51/90.54 tff('#skF_171', type, '#skF_171': (Nat$ * Nat$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_29', type, '#skF_29': (Nat_set$ * Int_set_set$ * Nat_int_set_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff(bot$g, type, bot$g: Int_bool_fun$).
% 116.51/90.54 tff(collect$b, type, collect$b: Nat_set_bool_fun$ > Nat_set_set$).
% 116.51/90.54 tff('#skF_33', type, '#skF_33': (Int_set$ * Int_set_set$ * Int_int_set_bool_fun_fun$) > $int).
% 116.51/90.54 tff('#skF_66', type, '#skF_66': Nat_set$ > Nat$).
% 116.51/90.54 tff('#skF_155', type, '#skF_155': $int > Nat$).
% 116.51/90.54 tff(less$d, type, less$d: Int_set$ > Int_set_bool_fun$).
% 116.51/90.54 tff(bot$d, type, bot$d: Nat_bool_fun_set$).
% 116.51/90.54 tff(uue$, type, uue$: (Nat_bool_fun$ * Nat_bool_fun$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_85', type, '#skF_85': Nat_set$ > Nat$).
% 116.51/90.54 tff('#skF_28', type, '#skF_28': (Int_set$ * Int_set$ * Int_int_bool_fun_fun$) > $int).
% 116.51/90.54 tff('#skF_93', type, '#skF_93': (Nat_set_bool_fun$ * Nat_set_bool_fun$) > Nat_set$).
% 116.51/90.54 tff(def_4, type, def_4: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff(uuv$, type, uuv$: (Int_set$ * Int_int_bool_fun_fun$) > Int_int_bool_fun_fun$).
% 116.51/90.54 tff(def_3, type, def_3: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff('#skF_80', type, '#skF_80': Int_set_bool_fun$ > Int_set$).
% 116.51/90.54 tff('#skF_82', type, '#skF_82': Int_bool_fun$ > $int).
% 116.51/90.54 tff('#skF_13', type, '#skF_13': (Nat_set_bool_fun$ * Nat_set_bool_fun$) > Nat_set$).
% 116.51/90.54 tff(member$a, type, member$a: Int_set$ > Int_set_set_bool_fun$).
% 116.51/90.54 tff(less_eq$c, type, less_eq$c: Int_set$ > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_17', type, '#skF_17': (Int_bool_fun$ * Int_bool_fun$) > $int).
% 116.51/90.54 tff(uuf$, type, uuf$: (Int_bool_fun$ * Int_bool_fun$) > Int_bool_fun$).
% 116.51/90.54 tff('#skF_26', type, '#skF_26': (Int_set$ * Nat_set$ * Int_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff(fun_app$m, type, fun_app$m: (Int_int_set_bool_fun_fun$ * $int) > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_35', type, '#skF_35': (Int_set$ * Nat_set_set$ * Int_nat_set_bool_fun_fun$) > $int).
% 116.51/90.54 tff(fun_app$s, type, fun_app$s: (Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff(fun_app$, type, fun_app$: (Nat_bool_fun$ * Nat$) > $o).
% 116.51/90.54 tff(uu$, type, uu$: Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff(dilating$, type, dilating$: (Nat_nat_fun$ * A_run$ * A_run$) > $o).
% 116.51/90.54 tff(uvo$, type, uvo$: $int > Int_int_bool_fun_fun$).
% 116.51/90.54 tff('#skF_61', type, '#skF_61': Nat_set$ > Nat$).
% 116.51/90.54 tff(uminus$b, type, uminus$b: Int_set$ > Int_set$).
% 116.51/90.54 tff(member$b, type, member$b: Nat_nat_set_bool_fun_fun$).
% 116.51/90.54 tff(uvf$, type, uvf$: (Int_set$ * Int_bool_fun$) > Int_bool_fun$).
% 116.51/90.54 tff(fun_app$g, type, fun_app$g: (Nat_set_nat_set_bool_fun_fun$ * Nat_set$) > Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_106', type, '#skF_106': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_81', type, '#skF_81': Nat_set_bool_fun$ > Nat_set$).
% 116.51/90.54 tff(dil_inverse$, type, dil_inverse$: Nat_nat_fun$ > Nat_nat_fun$).
% 116.51/90.54 tff('#skF_131', type, '#skF_131': Nat_set$ > Nat$).
% 116.51/90.54 tff(uuw$, type, uuw$: (Nat_set$ * Nat_int_set_bool_fun_fun$) > Int_set_nat_bool_fun_fun$).
% 116.51/90.54 tff('#skF_166', type, '#skF_166': (Nat$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff(tlfalse, type, tlfalse: tlbool).
% 116.51/90.54 tff(uvm$, type, uvm$: $int > Int_int_bool_fun_fun$).
% 116.51/90.54 tff(uvg$, type, uvg$: Int_bool_fun$).
% 116.51/90.54 tff(less_eq$d, type, less_eq$d: Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff('#skF_42', type, '#skF_42': Nat_set_bool_fun$ > Nat_set$).
% 116.51/90.54 tff('#skF_87', type, '#skF_87': (Nat_set$ * Nat_set$) > Nat$).
% 116.51/90.54 tff(bot$a, type, bot$a: Int_set_set$).
% 116.51/90.54 tff(collect$c, type, collect$c: Int_bool_fun$ > Int_set$).
% 116.51/90.54 tff(finite$d, type, finite$d: Int_set_set_set$ > $o).
% 116.51/90.54 tff('#skF_60', type, '#skF_60': Nat_bool_fun_set$ > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_88', type, '#skF_88': (Int_set$ * Int_set$) > $int).
% 116.51/90.54 tff('#skF_138', type, '#skF_138': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_109', type, '#skF_109': (Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff(ordering_top$a, type, ordering_top$a: (Nat_nat_bool_fun_fun$ * Nat_nat_bool_fun_fun$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_77', type, '#skF_77': Nat_set_bool_fun$ > Nat_set$).
% 116.51/90.54 tff('#skF_96', type, '#skF_96': (Int_set_bool_fun$ * Int_set_bool_fun$) > Int_set$).
% 116.51/90.54 tff(uuz$, type, uuz$: (Int_set$ * Int_nat_set_bool_fun_fun$ * Nat_set$) > Int_bool_fun$).
% 116.51/90.54 tff('#skF_16', type, '#skF_16': (Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_162', type, '#skF_162': (Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_32', type, '#skF_32': (Nat_set$ * Nat_set_set$ * Nat_nat_set_bool_fun_fun$) > Nat_set$).
% 116.51/90.54 tff('#skF_125', type, '#skF_125': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff(dense_run$, type, dense_run$: A_run$ > $o).
% 116.51/90.54 tff('#skF_163', type, '#skF_163': (Nat$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_137', type, '#skF_137': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(collect$, type, collect$: Nat_bool_fun$ > Nat_set$).
% 116.51/90.54 tff(fun_app$l, type, fun_app$l: (Int_set_int_bool_fun_fun$ * Int_set$) > Int_bool_fun$).
% 116.51/90.54 tff('#skF_76', type, '#skF_76': Int_set_bool_fun$ > Int_set$).
% 116.51/90.54 tff(uvl$, type, uvl$: Int_int_bool_fun_fun$).
% 116.51/90.54 tff('#skF_68', type, '#skF_68': (Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_135', type, '#skF_135': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff('#skF_129', type, '#skF_129': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff(f$, type, f$: Nat_nat_fun$).
% 116.51/90.54 tff('#skF_143', type, '#skF_143': Nat_set$ > Nat$).
% 116.51/90.54 tff('#skF_65', type, '#skF_65': Nat_bool_fun_set$ > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_15', type, '#skF_15': (Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_39', type, '#skF_39': (Int_set_set$ * Int_set$ * Int_set_int_bool_fun_fun$) > Int_set$).
% 116.51/90.54 tff(less$, type, less$: Nat_set$ > Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_19', type, '#skF_19': (Nat_bool_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_152', type, '#skF_152': $int > Nat$).
% 116.51/90.54 tff(uum$, type, uum$: Nat_set_nat_set_bool_fun_fun$).
% 116.51/90.54 tff(uva$, type, uva$: (Int_set_set$ * Int_set_nat_bool_fun_fun$) > Nat_int_set_bool_fun_fun$).
% 116.51/90.54 tff('#skF_71', type, '#skF_71': Nat_bool_fun_set$ > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_49', type, '#skF_49': (Int_set$ * $int) > $int).
% 116.51/90.54 tff('#skF_57', type, '#skF_57': (Nat_nat_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff(less_eq$e, type, less_eq$e: (Nat_bool_fun$ * Nat_bool_fun$) > $o).
% 116.51/90.54 tff(fun_app$q, type, fun_app$q: (Nat_int_bool_fun_fun$ * Nat$) > Int_bool_fun$).
% 116.51/90.54 tff(uvb$, type, uvb$: (Int_set_set$ * Int_set_int_bool_fun_fun$) > Int_int_set_bool_fun_fun$).
% 116.51/90.54 tff(uminus$, type, uminus$: Nat_set$ > Nat_set$).
% 116.51/90.54 tff(fun_app$e, type, fun_app$e: (Int_set_set_bool_fun$ * Int_set_set$) > $o).
% 116.51/90.54 tff(sub$, type, sub$: A_run$).
% 116.51/90.54 tff('#skF_130', type, '#skF_130': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff(collect$e, type, collect$e: Nat_set_set_bool_fun$ > Nat_set_set_set$).
% 116.51/90.54 tff('#skF_62', type, '#skF_62': Int_set$ > $int).
% 116.51/90.54 tff(uud$, type, uud$: (Nat_set_bool_fun$ * Nat_set_bool_fun$) > Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_158', type, '#skF_158': (Nat$ * Nat$ * Nat_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff(bot$e, type, bot$e: Nat_bool_fun$).
% 116.51/90.54 tff('#skF_20', type, '#skF_20': (Nat_bool_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_8', type, '#skF_8': (Int_set$ * Int_set_bool_fun$) > Int_set$).
% 116.51/90.54 tff('#skF_159', type, '#skF_159': (Nat$ * Nat$ * Nat_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff('#skF_74', type, '#skF_74': Nat_set$ > Nat$).
% 116.51/90.54 tff('#skF_69', type, '#skF_69': Int_set_set$ > Int_set$).
% 116.51/90.54 tff(fun_app$h, type, fun_app$h: (Int_set_bool_fun$ * Int_set$) > $o).
% 116.51/90.54 tff('#skF_141', type, '#skF_141': (Nat$ * Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff(less_eq$a, type, less_eq$a: Int_set_set$ > Int_set_set_bool_fun$).
% 116.51/90.54 tff(bot$j, type, bot$j: Nat$).
% 116.51/90.54 tff(uuj$, type, uuj$: (Int_bool_fun$ * Int_bool_fun$) > Int_bool_fun$).
% 116.51/90.54 tff(of_nat$, type, of_nat$: Nat_int_fun$).
% 116.51/90.54 tff('#skF_44', type, '#skF_44': Int_bool_fun$ > $int).
% 116.51/90.54 tff('#skF_101', type, '#skF_101': (Nat_nat_bool_fun_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_14', type, '#skF_14': (Nat_set_bool_fun$ * Nat_set_bool_fun$) > Nat_set$).
% 116.51/90.54 tff(uvs$, type, uvs$: Int_set_int_bool_fun_fun$).
% 116.51/90.54 tff('#skF_118', type, '#skF_118': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_127', type, '#skF_127': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(less$e, type, less$e: (Nat_bool_fun$ * Nat_bool_fun$) > $o).
% 116.51/90.54 tff('#skF_170', type, '#skF_170': (Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff(zero$, type, zero$: Nat$).
% 116.51/90.54 tff('#skF_108', type, '#skF_108': (Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_40', type, '#skF_40': (Int_set_set$ * Int_set$ * Int_set_int_bool_fun_fun$) > $int).
% 116.51/90.54 tff(finite$, type, finite$: Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_52', type, '#skF_52': (Nat_bool_fun_set$ * Nat_bool_fun$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_110', type, '#skF_110': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(ordering_top$, type, ordering_top$: (Nat_set_nat_set_bool_fun_fun$ * Nat_set_nat_set_bool_fun_fun$) > Nat_set_bool_fun$).
% 116.51/90.54 tff(arg_min_on$, type, arg_min_on$: (Int_int_fun$ * Int_set$) > $int).
% 116.51/90.54 tff(uve$, type, uve$: (Nat_set$ * Nat_bool_fun$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_121', type, '#skF_121': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_147', type, '#skF_147': (Int_set$ * Int_set$ * Int_bool_fun$ * Int_bool_fun$) > $int).
% 116.51/90.54 tff('#skF_161', type, '#skF_161': (Nat$ * Nat$ * Nat_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff(finite$c, type, finite$c: Int_set_bool_fun$).
% 116.51/90.54 tff(tick_count_strict$, type, tick_count_strict$: (A_run$ * Clock$) > Nat_nat_fun$).
% 116.51/90.54 tff('#skF_70', type, '#skF_70': Nat_set_set$ > Nat_set$).
% 116.51/90.54 tff(fun_app$a, type, fun_app$a: (Nat_nat_bool_fun_fun$ * Nat$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_115', type, '#skF_115': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(bot$b, type, bot$b: Nat_set_set$).
% 116.51/90.54 tff('#skF_79', type, '#skF_79': Nat_bool_fun$ > Nat$).
% 116.51/90.54 tff(def_6, type, def_6: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff(n$, type, n$: Nat$).
% 116.51/90.54 tff(uvp$, type, uvp$: Nat_bool_fun$ > Nat_bool_fun$).
% 116.51/90.54 tff(uuc$, type, uuc$: (Int_set_bool_fun$ * Int_set_bool_fun$) > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_51', type, '#skF_51': (Nat_set_set$ * Nat_set$) > Nat_set$).
% 116.51/90.54 tff('#skF_30', type, '#skF_30': (Nat_set$ * Int_set_set$ * Nat_int_set_bool_fun_fun$) > Int_set$).
% 116.51/90.54 tff('#skF_75', type, '#skF_75': Int_set$ > $int).
% 116.51/90.54 tff(uuk$, type, uuk$: Int_set_set$ > Int_set_set_bool_fun$).
% 116.51/90.54 tff('#skF_86', type, '#skF_86': (Int_set$ * Int_set$) > $int).
% 116.51/90.54 tff('#skF_116', type, '#skF_116': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff(uut$, type, uut$: (Nat_set$ * Nat_int_bool_fun_fun$) > Int_nat_bool_fun_fun$).
% 116.51/90.54 tff(bot$, type, bot$: Nat_set$).
% 116.51/90.54 tff(finite$a, type, finite$a: Int_set_set_bool_fun$).
% 116.51/90.54 tff(member$c, type, member$c: Int_int_set_bool_fun_fun$).
% 116.51/90.54 tff('#skF_67', type, '#skF_67': Int_set$ > $int).
% 116.51/90.54 tff(is_empty$, type, is_empty$: Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_156', type, '#skF_156': (Nat$ * Nat$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff(fun_app$j, type, fun_app$j: (Int_int_bool_fun_fun$ * $int) > Int_bool_fun$).
% 116.51/90.54 tff('#skF_78', type, '#skF_78': Int_bool_fun$ > $int).
% 116.51/90.54 tff(fun_app$r, type, fun_app$r: (Int_nat_set_bool_fun_fun$ * $int) > Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_36', type, '#skF_36': (Int_set$ * Nat_set_set$ * Int_nat_set_bool_fun_fun$) > Nat_set$).
% 116.51/90.54 tff('#skF_119', type, '#skF_119': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_113', type, '#skF_113': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff(of_int$, type, of_int$: Int_int_fun$).
% 116.51/90.54 tff(uun$, type, uun$: Int_set$ > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_5', type, '#skF_5': (Int_set_set$ * Int_set_set_bool_fun$) > Int_set_set$).
% 116.51/90.54 tff(member$, type, member$: Nat_set$ > Nat_set_set_bool_fun$).
% 116.51/90.54 tff(dbl_dec$, type, dbl_dec$: Int_int_fun$).
% 116.51/90.54 tff('#skF_144', type, '#skF_144': (Nat_set$ * Nat_set$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff(less$a, type, less$a: Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff('#skF_23', type, '#skF_23': (Nat_set$ * Int_set$ * Nat_int_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff('#skF_55', type, '#skF_55': (Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_37', type, '#skF_37': (Int_set_set$ * Nat_set$ * Int_set_nat_bool_fun_fun$) > Int_set$).
% 116.51/90.54 tff(fun_app$k, type, fun_app$k: (Nat_nat_set_bool_fun_fun$ * Nat$) > Nat_set_bool_fun$).
% 116.51/90.54 tff(arg_min_on$a, type, arg_min_on$a: (Nat_int_fun$ * Nat_set$) > Nat$).
% 116.51/90.54 tff(uminus$c, type, uminus$c: Int_bool_fun$ > Int_bool_fun$).
% 116.51/90.54 tff(uvr$, type, uvr$: Nat_set$ > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_100', type, '#skF_100': (Nat_nat_bool_fun_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_47', type, '#skF_47': (Nat_bool_fun_set$ * Nat_bool_fun$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_157', type, '#skF_157': (Nat$ * Nat$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_164', type, '#skF_164': (Nat$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_1', type, '#skF_1': (Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff(fun_app$b, type, fun_app$b: (Nat_int_fun$ * Nat$) > $int).
% 116.51/90.54 tff('#skF_107', type, '#skF_107': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(uub$, type, uub$: Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff(uui$, type, uui$: (Nat_bool_fun$ * Nat_bool_fun$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_120', type, '#skF_120': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_12', type, '#skF_12': (Int_set_bool_fun$ * Int_set_bool_fun$) > Int_set$).
% 116.51/90.54 tff(g$, type, g$: Nat_nat_fun$).
% 116.51/90.54 tff(uuy$, type, uuy$: (Int_set$ * Int_int_set_bool_fun_fun$) > Int_set_int_bool_fun_fun$).
% 116.51/90.54 tff(uup$, type, uup$: Nat_set_set$ > Nat_set_bool_fun$).
% 116.51/90.54 tff(bot$c, type, bot$c: Int_set$).
% 116.51/90.54 tff(less_eq$b, type, less_eq$b: Nat_set$ > Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_72', type, '#skF_72': Nat_set$ > Nat$).
% 116.51/90.54 tff('#skF_83', type, '#skF_83': Nat_bool_fun$ > Nat$).
% 116.51/90.54 tff('#skF_22', type, '#skF_22': (Nat_set$ * Nat_set$ * Nat_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff(def_7, type, def_7: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff('#skF_105', type, '#skF_105': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(nat$, type, nat$: $int > Nat$).
% 116.51/90.54 tff(uminus$a, type, uminus$a: Nat_bool_fun$ > Nat_bool_fun$).
% 116.51/90.54 tff(uuo$, type, uuo$: Int_set_set$ > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_136', type, '#skF_136': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff('#skF_126', type, '#skF_126': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff('#skF_102', type, '#skF_102': (Nat_nat_bool_fun_fun$ * Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_58', type, '#skF_58': Int_set_set$ > Int_set$).
% 116.51/90.54 tff(uvc$, type, uvc$: (Int_set_set$ * Int_set_bool_fun$) > Int_set_bool_fun$).
% 116.51/90.54 tff('#skF_111', type, '#skF_111': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_90', type, '#skF_90': (Int_set$ * Int_set$) > $int).
% 116.51/90.54 tff(contracting$, type, contracting$: (Nat_nat_fun$ * A_run$ * A_run$ * Nat_nat_fun$) > $o).
% 116.51/90.54 tff(less_eq$, type, less_eq$: Nat_set_set$ > Nat_set_set_bool_fun$).
% 116.51/90.54 tff(uuh$, type, uuh$: (Nat_set_bool_fun$ * Nat_set_bool_fun$) > Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_140', type, '#skF_140': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff('#skF_4', type, '#skF_4': (Nat_nat_fun$ * A_run$ * A_run$ * Nat$) > Nat$).
% 116.51/90.54 tff(bot$i, type, bot$i: Nat_set_bool_fun$).
% 116.51/90.54 tff(tltrue, type, tltrue: tlbool).
% 116.51/90.54 tff('#skF_43', type, '#skF_43': Nat_bool_fun$ > Nat$).
% 116.51/90.54 tff('#skF_24', type, '#skF_24': (Nat_set$ * Int_set$ * Nat_int_bool_fun_fun$) > $int).
% 116.51/90.54 tff(less_eq$g, type, less_eq$g: (tlbool * tlbool) > $o).
% 116.51/90.54 tff(def_8, type, def_8: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff(uvi$, type, uvi$: Nat_set_nat_set_bool_fun_fun$).
% 116.51/90.54 tff(uvd$, type, uvd$: (Nat_set_set$ * Nat_set_bool_fun$) > Nat_set_bool_fun$).
% 116.51/90.54 tff('#skF_104', type, '#skF_104': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_114', type, '#skF_114': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(less$b, type, less$b: Int_set_set$ > Int_set_set_bool_fun$).
% 116.51/90.54 tff('#skF_134', type, '#skF_134': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff(uur$, type, uur$: Int_set_int_bool_fun_fun$).
% 116.51/90.54 tff('#skF_160', type, '#skF_160': (Nat$ * Nat$ * Nat_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff('#skF_117', type, '#skF_117': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54 tff('#skF_154', type, '#skF_154': $int > Nat$).
% 116.51/90.54 tff('#skF_92', type, '#skF_92': (Int_set_bool_fun$ * Int_set_bool_fun$) > Int_set$).
% 116.51/90.54 tff(less$f, type, less$f: (Int_bool_fun$ * Int_bool_fun$) > $o).
% 116.51/90.54 tff(def_2, type, def_2: (Nat_bool_fun$ * Nat$) > tlbool).
% 116.51/90.54 tff(uuu$, type, uuu$: (Int_set$ * Int_nat_bool_fun_fun$) > Nat_int_bool_fun_fun$).
% 116.51/90.54 tff('#skF_38', type, '#skF_38': (Int_set_set$ * Nat_set$ * Int_set_nat_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff(fun_app$d, type, fun_app$d: (Nat_set_set_bool_fun$ * Nat_set_set$) > $o).
% 116.51/90.54 tff('#skF_148', type, '#skF_148': $int > Nat$).
% 116.51/90.54 tff(member$d, type, member$d: (Nat_bool_fun$ * Nat_bool_fun_set$) > $o).
% 116.51/90.54 tff('#skF_64', type, '#skF_64': Nat_set_set$ > Nat_set$).
% 116.51/90.54 tff('#skF_89', type, '#skF_89': (Nat_set$ * Nat_set$) > Nat$).
% 116.51/90.54 tff('#skF_84', type, '#skF_84': Int_set$ > $int).
% 116.51/90.54 tff('#skF_132', type, '#skF_132': Nat_set$ > Nat$).
% 116.51/90.54 tff('#skF_11', type, '#skF_11': (Int_set_bool_fun$ * Int_set_bool_fun$) > Int_set$).
% 116.51/90.54 tff('#skF_97', type, '#skF_97': (Nat_set_bool_fun$ * Nat_set_bool_fun$) > Nat_set$).
% 116.51/90.54 tff(finite$f, type, finite$f: Nat_bool_fun_set$ > $o).
% 116.51/90.54 tff(finite$e, type, finite$e: Nat_set_set_set$ > $o).
% 116.51/90.54 tff(finite$b, type, finite$b: Nat_set_set_bool_fun$).
% 116.51/90.54 tff(fun_app$o, type, fun_app$o: (Int_set_nat_bool_fun_fun$ * Int_set$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_98', type, '#skF_98': (Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff(uul$, type, uul$: Nat_set_set$ > Nat_set_set_bool_fun$).
% 116.51/90.54 tff('#skF_94', type, '#skF_94': (Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 116.51/90.54 tff('#skF_27', type, '#skF_27': (Int_set$ * Int_set$ * Int_int_bool_fun_fun$) > $int).
% 116.51/90.54 tff('#skF_25', type, '#skF_25': (Int_set$ * Nat_set$ * Int_nat_bool_fun_fun$) > $int).
% 116.51/90.54 tff(less_eq$f, type, less_eq$f: (Int_bool_fun$ * Int_bool_fun$) > $o).
% 116.51/90.54 tff('#skF_45', type, '#skF_45': (Int_set_set$ * Int_set$) > Int_set$).
% 116.51/90.54 tff(uua$, type, uua$: Nat_nat_bool_fun_fun$).
% 116.51/90.54 tff(uux$, type, uux$: (Nat_set$ * Nat_nat_set_bool_fun_fun$ * Nat_set$) > Nat_bool_fun$).
% 116.51/90.54 tff('#skF_99', type, '#skF_99': (Int_bool_fun$ * Int_bool_fun$) > $int).
% 116.51/90.54 tff('#skF_169', type, '#skF_169': (Nat$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_128', type, '#skF_128': ($int * Int_int_fun$ * $int * $int) > $int).
% 116.51/90.54 tff('#skF_73', type, '#skF_73': Int_set$ > $int).
% 116.51/90.54 tff('#skF_9', type, '#skF_9': (Nat_bool_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff(bot$h, type, bot$h: Int_set_bool_fun$).
% 116.51/90.54 tff(fun_app$c, type, fun_app$c: (Nat_nat_fun$ * Nat$) > Nat$).
% 116.51/90.54 tff('#skF_6', type, '#skF_6': (Nat_set_set$ * Nat_set_set_bool_fun$) > Nat_set_set$).
% 116.51/90.54 tff(bot$f, type, bot$f: $o).
% 116.51/90.54 tff('#skF_31', type, '#skF_31': (Nat_set$ * Nat_set_set$ * Nat_nat_set_bool_fun_fun$) > Nat$).
% 116.51/90.54 tff('#skF_139', type, '#skF_139': ($int * $int * Int_int_fun$ * $int) > $int).
% 116.51/90.54
% 116.51/90.57 tff(f_3962, axiom, (![A__questionmark_v0a:$int]: (((![A__questionmark_v1:Nat$]: ((A__questionmark_v0a = fun_app$b(of_nat$, A__questionmark_v1)) => $false)) & (![A__questionmark_v1:Nat$]: (($less(0, fun_app$b(of_nat$, A__questionmark_v1)) & (A__questionmark_v0a = $uminus(fun_app$b(of_nat$, A__questionmark_v1)))) => $false))) => $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom544)).
% 116.51/90.57 tff(f_318, negated_conjecture, ~(fun_app$b(of_nat$, fun_app$c(g$, n$)) = fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), n$))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conjecture46)).
% 116.51/90.57 tff(f_4556, axiom, (![A__questionmark_v0:Nat$]: (nat$(fun_app$b(of_nat$, A__questionmark_v0)) = A__questionmark_v0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom649)).
% 116.51/90.57 tff(f_3872, axiom, (![A__questionmark_v0a:$int]: ((fun_app$b(of_nat$, nat$(A__questionmark_v0a)) = 0) <=> $lesseq(A__questionmark_v0a, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom527)).
% 116.51/90.57 tff(f_4553, axiom, (![A__questionmark_v0:Nat$]: $lesseq(0, fun_app$b(of_nat$, A__questionmark_v0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom648)).
% 116.51/90.57 tff(f_3716, axiom, (![A__questionmark_v0a:$int]: ($less(0, A__questionmark_v0a) => (?[A__questionmark_v1:Nat$]: ($less(0, fun_app$b(of_nat$, A__questionmark_v1)) & (A__questionmark_v0a = fun_app$b(of_nat$, A__questionmark_v1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom496)).
% 116.51/90.57 tff(f_2251, axiom, (fun_app$b(of_nat$, bot$j) = 0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom291)).
% 116.51/90.57 tff(f_336, axiom, (![A__questionmark_v0:Nat$]: ($less(fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), A__questionmark_v0)), fun_app$b(of_nat$, fun_app$c(g$, A__questionmark_v0))) => $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom51)).
% 116.51/90.57 tff(f_4304, axiom, (![A__questionmark_v0:Nat$]: ($less(fun_app$b(of_nat$, A__questionmark_v0), $sum(0, 1)) <=> (fun_app$b(of_nat$, A__questionmark_v0) = 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom616)).
% 116.51/90.57 tff(f_3726, axiom, (![A__questionmark_v0a:$int]: (($less(0, A__questionmark_v0a) & (![A__questionmark_v1:Nat$]: (((A__questionmark_v0a = fun_app$b(of_nat$, A__questionmark_v1)) & $less(0, fun_app$b(of_nat$, A__questionmark_v1))) => $false))) => $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom497)).
% 116.51/90.57 tff(f_3933, axiom, (![A__questionmark_v0:Nat$, A__questionmark_v1:Nat$]: ~$less(fun_app$b(of_nat$, A__questionmark_v0), $uminus(fun_app$b(of_nat$, A__questionmark_v1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom540)).
% 116.51/90.57 tff(f_332, axiom, (![A__questionmark_v0:Nat$]: ($less(fun_app$b(of_nat$, fun_app$c(g$, A__questionmark_v0)), fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), A__questionmark_v0))) => $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom50)).
% 116.51/90.57 tff(f_3862, axiom, (![A__questionmark_v0:Nat$, A__questionmark_v1:Nat$]: (($uminus(fun_app$b(of_nat$, A__questionmark_v0)) = fun_app$b(of_nat$, A__questionmark_v1)) <=> ((fun_app$b(of_nat$, A__questionmark_v0) = 0) & (fun_app$b(of_nat$, A__questionmark_v1) = 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom525)).
% 116.51/90.57 tff(c_1837, plain, (![A__questionmark_v0_1247a:$int]: ($uminus(fun_app$b(of_nat$, '#skF_152'(A__questionmark_v0_1247a)))=A__questionmark_v0_1247a | fun_app$b(of_nat$, '#skF_151'(A__questionmark_v0_1247a))=A__questionmark_v0_1247a)), inference(cnfTransformation, [status(thm)], [f_3962])).
% 116.51/90.57 tff(c_258204, plain, (![A__questionmark_v0_74785a:$int]: (fun_app$b(of_nat$, '#skF_152'(A__questionmark_v0_74785a))=$uminus(A__questionmark_v0_74785a) | fun_app$b(of_nat$, '#skF_151'(A__questionmark_v0_74785a))=A__questionmark_v0_74785a)), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_1837])).
% 116.51/90.57 tff(c_2698, plain, (fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), n$))!=fun_app$b(of_nat$, fun_app$c(g$, n$))), inference(cnfTransformation, [status(thm)], [f_318])).
% 116.51/90.57 tff(c_2846, plain, (fun_app$b(of_nat$, fun_app$c(g$, n$))='#skE_2'), inference(define, [status(thm), theory('equality')], [c_2698])).
% 116.51/90.57 tff(c_2960, plain, (![A__questionmark_v0_2572:Nat$]: (nat$(fun_app$b(of_nat$, A__questionmark_v0_2572))=A__questionmark_v0_2572)), inference(cnfTransformation, [status(thm)], [f_4556])).
% 116.51/90.57 tff(c_2994, plain, (fun_app$c(g$, n$)=nat$('#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_2846, c_2960])).
% 116.51/90.57 tff(c_3002, plain, (fun_app$b(of_nat$, nat$('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_2994, c_2846])).
% 116.51/90.57 tff(c_1800, plain, (![A__questionmark_v0_1233a:$int]: (fun_app$b(of_nat$, nat$(A__questionmark_v0_1233a))!=0 | $lesseq(A__questionmark_v0_1233a, 0))), inference(cnfTransformation, [status(thm)], [f_3872])).
% 116.51/90.57 tff(c_5310, plain, (![A__questionmark_v0_5639a:$int]: (fun_app$b(of_nat$, nat$(A__questionmark_v0_5639a))!=0 | ~$less(0, A__questionmark_v0_5639a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_1800])).
% 116.51/90.57 tff(c_5326, plain, ('#skE_2'!=0 | ~$less(0, '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_3002, c_5310])).
% 116.51/90.57 tff(c_5336, plain, (~$less(0, '#skE_2')), inference(splitLeft, [status(thm)], [c_5326])).
% 116.51/90.57 tff(c_2845, plain, (fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), n$))='#skE_1'), inference(define, [status(thm), theory('equality')], [c_2698])).
% 116.51/90.57 tff(c_3116, plain, (fun_app$c(dil_inverse$(f$), n$)=nat$('#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_2845, c_2960])).
% 116.51/90.57 tff(c_3124, plain, (fun_app$b(of_nat$, nat$('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_3116, c_2845])).
% 116.51/90.57 tff(c_5324, plain, ('#skE_1'!=0 | ~$less(0, '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_3124, c_5310])).
% 116.51/90.57 tff(c_5334, plain, (~$less(0, '#skE_1')), inference(splitLeft, [status(thm)], [c_5324])).
% 116.51/90.57 tff(c_3044, plain, (fun_app$b(of_nat$, nat$('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_2994, c_2846])).
% 116.51/90.57 tff(c_2258, plain, (![A__questionmark_v0_1409:Nat$]: ($lesseq(0, fun_app$b(of_nat$, A__questionmark_v0_1409)))), inference(cnfTransformation, [status(thm)], [f_4553])).
% 116.51/90.57 tff(c_2305, plain, (![A__questionmark_v0_1409:Nat$]: (~$less(fun_app$b(of_nat$, A__questionmark_v0_1409), 0))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_2258])).
% 116.51/90.57 tff(c_3071, plain, (~$less('#skE_2', 0)), inference(superposition, [status(thm), theory('equality')], [c_3044, c_2305])).
% 116.51/90.57 tff(c_3012, plain, (![A__questionmark_v0_2696:Nat$]: (~$less(fun_app$b(of_nat$, A__questionmark_v0_2696), 0))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_2258])).
% 116.51/90.57 tff(c_3017, plain, (~$less('#skE_1', 0)), inference(superposition, [status(thm), theory('equality')], [c_2845, c_3012])).
% 116.51/90.57 tff(c_2842, plain, (fun_app$b(of_nat$, fun_app$c(g$, n$))='#skE_2'), inference(define, [status(thm), theory('equality')], [c_2698])).
% 116.51/90.57 tff(c_2841, plain, (fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), n$))='#skE_1'), inference(define, [status(thm), theory('equality')], [c_2698])).
% 116.51/90.57 tff(c_2847, plain, ('#skE_2'!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_2842, c_2841, c_2698])).
% 116.51/90.57 tff(c_5337, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5336, c_5334, c_3071, c_3017, c_2847])).
% 116.51/90.57 tff(c_5341, plain, ($less(0, '#skE_2')), inference(splitRight, [status(thm)], [c_5326])).
% 116.51/90.57 tff(c_7443, plain, (![A__questionmark_v0_7398a:$int]: (fun_app$b(of_nat$, '#skF_148'(A__questionmark_v0_7398a))=A__questionmark_v0_7398a | ~$less(0, A__questionmark_v0_7398a))), inference(cnfTransformation, [status(thm)], [f_3716])).
% 116.51/90.57 tff(c_2304, plain, (![A__questionmark_v0_1410:Nat$]: (nat$(fun_app$b(of_nat$, A__questionmark_v0_1410))=A__questionmark_v0_1410)), inference(cnfTransformation, [status(thm)], [f_4556])).
% 116.51/90.57 tff(c_7460, plain, (![A__questionmark_v0_7415a:$int]: (nat$(A__questionmark_v0_7415a)='#skF_148'(A__questionmark_v0_7415a) | ~$less(0, A__questionmark_v0_7415a))), inference(superposition, [status(thm), theory('equality')], [c_7443, c_2304])).
% 116.51/90.57 tff(c_7478, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2' | ~$less(0, '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_7460, c_3002])).
% 116.51/90.57 tff(c_7512, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_5341, c_7478])).
% 116.51/90.57 tff(c_7513, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_5341, c_7478])).
% 116.51/90.57 tff(c_7869, plain, (nat$('#skE_2')='#skF_148'('#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_7513, c_2304])).
% 116.51/90.57 tff(c_2986, plain, (fun_app$c(g$, n$)=nat$('#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_2846, c_2960])).
% 116.51/90.57 tff(c_7966, plain, (fun_app$c(g$, n$)='#skF_148'('#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_7869, c_2986])).
% 116.51/90.57 tff(c_2562, plain, (fun_app$b(of_nat$, bot$j)=0), inference(cnfTransformation, [status(thm)], [f_2251])).
% 116.51/90.57 tff(c_2983, plain, (nat$(0)=bot$j), inference(superposition, [status(thm), theory('equality')], [c_2562, c_2960])).
% 116.51/90.57 tff(c_1802, plain, (![A__questionmark_v0_1233a:$int]: (fun_app$b(of_nat$, nat$(A__questionmark_v0_1233a))=0 | ~$lesseq(A__questionmark_v0_1233a, 0))), inference(cnfTransformation, [status(thm)], [f_3872])).
% 116.51/90.57 tff(c_8206, plain, (![A__questionmark_v0_7967a:$int]: (fun_app$b(of_nat$, nat$(A__questionmark_v0_7967a))=0 | $less(0, A__questionmark_v0_7967a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_1802])).
% 116.51/90.57 tff(c_8265, plain, ('#skE_1'=0 | $less(0, '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_8206, c_3124])).
% 116.51/90.57 tff(c_8291, plain, ('#skE_1'=0), inference(negUnitSimplification, [status(thm)], [c_5334, c_8265])).
% 116.51/90.57 tff(c_2982, plain, (fun_app$c(dil_inverse$(f$), n$)=nat$('#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_2845, c_2960])).
% 116.51/90.57 tff(c_8298, plain, (fun_app$c(dil_inverse$(f$), n$)=nat$(0)), inference(demodulation, [status(thm), theory('equality')], [c_8291, c_2982])).
% 116.51/90.57 tff(c_8305, plain, (fun_app$c(dil_inverse$(f$), n$)=bot$j), inference(demodulation, [status(thm), theory('equality')], [c_2983, c_8298])).
% 116.51/90.57 tff(c_126348, plain, (![A__questionmark_v0_34451:Nat$]: (~$less(fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), A__questionmark_v0_34451)), fun_app$b(of_nat$, fun_app$c(g$, A__questionmark_v0_34451))))), inference(cnfTransformation, [status(thm)], [f_336])).
% 116.51/90.57 tff(c_126351, plain, (~$less(fun_app$b(of_nat$, bot$j), fun_app$b(of_nat$, fun_app$c(g$, n$)))), inference(superposition, [status(thm), theory('equality')], [c_8305, c_126348])).
% 116.51/90.57 tff(c_126356, plain, (~$less(0, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_7512, c_7966, c_2562, c_126351])).
% 116.51/90.57 tff(c_5340, plain, ('#skE_2'!=0), inference(splitRight, [status(thm)], [c_5326])).
% 116.51/90.57 tff(c_7505, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_5341, c_7478])).
% 116.51/90.57 tff(c_2074, plain, (![A__questionmark_v0_1318:Nat$]: (fun_app$b(of_nat$, A__questionmark_v0_1318)=0 | ~$less(fun_app$b(of_nat$, A__questionmark_v0_1318), $sum(0, 1)))), inference(cnfTransformation, [status(thm)], [f_4304])).
% 116.51/90.57 tff(c_11888, plain, (![A__questionmark_v0_10060:Nat$]: (fun_app$b(of_nat$, A__questionmark_v0_10060)=0 | ~$less(fun_app$b(of_nat$, A__questionmark_v0_10060), 1))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_2074])).
% 116.51/90.57 tff(c_11906, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))=0 | ~$less('#skE_2', 1)), inference(superposition, [status(thm), theory('equality')], [c_7505, c_11888])).
% 116.51/90.57 tff(c_11926, plain, ('#skE_2'=0 | ~$less('#skE_2', 1)), inference(demodulation, [status(thm), theory('equality')], [c_7512, c_11906])).
% 116.51/90.57 tff(c_11928, plain, (~$less('#skE_2', 1)), inference(negUnitSimplification, [status(thm)], [c_5340, c_11926])).
% 116.51/90.57 tff(c_126360, plain, $false, inference(close, [status(thm), theory('LIA')], [c_126356, c_11928])).
% 116.51/90.57 tff(c_126364, plain, ($less(0, '#skE_1')), inference(splitRight, [status(thm)], [c_5324])).
% 116.51/90.57 tff(c_216162, plain, (![A__questionmark_v0_60827a:$int]: (fun_app$b(of_nat$, '#skF_149'(A__questionmark_v0_60827a))=A__questionmark_v0_60827a | ~$less(0, A__questionmark_v0_60827a))), inference(cnfTransformation, [status(thm)], [f_3726])).
% 116.51/90.57 tff(c_216185, plain, (![A__questionmark_v0_60846a:$int]: (nat$(A__questionmark_v0_60846a)='#skF_149'(A__questionmark_v0_60846a) | ~$less(0, A__questionmark_v0_60846a))), inference(superposition, [status(thm), theory('equality')], [c_216162, c_2304])).
% 116.51/90.57 tff(c_216212, plain, (fun_app$b(of_nat$, '#skF_149'('#skE_1'))='#skE_1' | ~$less(0, '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_216185, c_3124])).
% 116.51/90.57 tff(c_216262, plain, (fun_app$b(of_nat$, '#skF_149'('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_126364, c_216212])).
% 116.51/90.57 tff(c_1822, plain, (![A__questionmark_v0_1239:Nat$, A__questionmark_v1_1240:Nat$]: (~$less(fun_app$b(of_nat$, A__questionmark_v0_1239), $uminus(fun_app$b(of_nat$, A__questionmark_v1_1240))))), inference(cnfTransformation, [status(thm)], [f_3933])).
% 116.51/90.57 tff(c_227064, plain, (![A__questionmark_v0_66221:Nat$, A__questionmark_v1_66222:Nat$]: (~$less($sum(fun_app$b(of_nat$, A__questionmark_v0_66221), fun_app$b(of_nat$, A__questionmark_v1_66222)), 0))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_1822])).
% 116.51/90.57 tff(c_227145, plain, (![A__questionmark_v1_66222:Nat$]: (~$less($sum('#skE_1', fun_app$b(of_nat$, A__questionmark_v1_66222)), 0))), inference(superposition, [status(thm), theory('equality')], [c_216262, c_227064])).
% 116.51/90.57 tff(c_258262, plain, (![A__questionmark_v0_74785a:$int]: (~$less($sum('#skE_1', A__questionmark_v0_74785a), 0) | fun_app$b(of_nat$, '#skF_152'(A__questionmark_v0_74785a))=$uminus(A__questionmark_v0_74785a))), inference(superposition, [status(thm), theory('equality')], [c_258204, c_227145])).
% 116.51/90.57 tff(c_258264, plain, (![A__questionmark_v0_74785a:$int]: (~$less($sum(A__questionmark_v0_74785a, '#skE_1'), 0) | fun_app$b(of_nat$, '#skF_152'(A__questionmark_v0_74785a))=$uminus(A__questionmark_v0_74785a))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_258262])).
% 116.51/90.57 tff(c_2457, plain, (![A__questionmark_v0_1247a:$int]: ($less(0, fun_app$b(of_nat$, '#skF_152'(A__questionmark_v0_1247a))) | fun_app$b(of_nat$, '#skF_151'(A__questionmark_v0_1247a))=A__questionmark_v0_1247a)), inference(cnfTransformation, [status(thm)], [f_3962])).
% 116.51/90.57 tff(c_128686, plain, (![A__questionmark_v0_36090a:$int]: (fun_app$b(of_nat$, '#skF_148'(A__questionmark_v0_36090a))=A__questionmark_v0_36090a | ~$less(0, A__questionmark_v0_36090a))), inference(cnfTransformation, [status(thm)], [f_3716])).
% 116.51/90.57 tff(c_128709, plain, (![A__questionmark_v0_36109a:$int]: (nat$(A__questionmark_v0_36109a)='#skF_148'(A__questionmark_v0_36109a) | ~$less(0, A__questionmark_v0_36109a))), inference(superposition, [status(thm), theory('equality')], [c_128686, c_2304])).
% 116.51/90.57 tff(c_128736, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1' | ~$less(0, '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_128709, c_3124])).
% 116.51/90.57 tff(c_128791, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_126364, c_128736])).
% 116.51/90.57 tff(c_128792, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_126364, c_128736])).
% 116.51/90.57 tff(c_128927, plain, (nat$('#skE_1')='#skF_148'('#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_128792, c_2304])).
% 116.51/90.57 tff(c_129187, plain, (fun_app$c(dil_inverse$(f$), n$)='#skF_148'('#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_128927, c_2982])).
% 116.51/90.57 tff(c_126366, plain, (~$less(0, '#skE_2')), inference(splitLeft, [status(thm)], [c_5326])).
% 116.51/90.57 tff(c_128450, plain, (![A__questionmark_v0_36004a:$int]: (fun_app$b(of_nat$, nat$(A__questionmark_v0_36004a))=0 | $less(0, A__questionmark_v0_36004a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_1802])).
% 116.51/90.57 tff(c_128520, plain, ('#skE_2'=0 | $less(0, '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_128450, c_3002])).
% 116.51/90.57 tff(c_128555, plain, ('#skE_2'=0), inference(negUnitSimplification, [status(thm)], [c_126366, c_128520])).
% 116.51/90.57 tff(c_128573, plain, (fun_app$c(g$, n$)=nat$(0)), inference(demodulation, [status(thm), theory('equality')], [c_128555, c_2986])).
% 116.51/90.57 tff(c_128578, plain, (fun_app$c(g$, n$)=bot$j), inference(demodulation, [status(thm), theory('equality')], [c_2983, c_128573])).
% 116.51/90.57 tff(c_213793, plain, (![A__questionmark_v0_59265:Nat$]: (~$less(fun_app$b(of_nat$, fun_app$c(g$, A__questionmark_v0_59265)), fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), A__questionmark_v0_59265))))), inference(cnfTransformation, [status(thm)], [f_332])).
% 116.51/90.57 tff(c_213799, plain, (~$less(fun_app$b(of_nat$, bot$j), fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), n$)))), inference(superposition, [status(thm), theory('equality')], [c_128578, c_213793])).
% 116.51/90.57 tff(c_213804, plain, (~$less(0, '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_128791, c_129187, c_2562, c_213799])).
% 116.51/90.57 tff(c_126363, plain, ('#skE_1'!=0), inference(splitRight, [status(thm)], [c_5324])).
% 116.51/90.57 tff(c_128777, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_126364, c_128736])).
% 116.51/90.57 tff(c_136506, plain, (![A__questionmark_v0_40497:Nat$]: (fun_app$b(of_nat$, A__questionmark_v0_40497)=0 | ~$less(fun_app$b(of_nat$, A__questionmark_v0_40497), 1))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_2074])).
% 116.51/90.57 tff(c_136515, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))=0 | ~$less('#skE_1', 1)), inference(superposition, [status(thm), theory('equality')], [c_128777, c_136506])).
% 116.51/90.57 tff(c_136534, plain, ('#skE_1'=0 | ~$less('#skE_1', 1)), inference(demodulation, [status(thm), theory('equality')], [c_128791, c_136515])).
% 116.51/90.57 tff(c_136536, plain, (~$less('#skE_1', 1)), inference(negUnitSimplification, [status(thm)], [c_126363, c_136534])).
% 116.51/90.57 tff(c_213805, plain, $false, inference(close, [status(thm), theory('LIA')], [c_213804, c_136536])).
% 116.51/90.57 tff(c_213809, plain, ($less(0, '#skE_2')), inference(splitRight, [status(thm)], [c_5326])).
% 116.51/90.57 tff(c_215878, plain, (![A__questionmark_v0_60723a:$int]: (fun_app$b(of_nat$, '#skF_148'(A__questionmark_v0_60723a))=A__questionmark_v0_60723a | ~$less(0, A__questionmark_v0_60723a))), inference(cnfTransformation, [status(thm)], [f_3716])).
% 116.51/90.57 tff(c_215963, plain, (![A__questionmark_v0_60760a:$int]: (nat$(A__questionmark_v0_60760a)='#skF_148'(A__questionmark_v0_60760a) | ~$less(0, A__questionmark_v0_60760a))), inference(superposition, [status(thm), theory('equality')], [c_215878, c_2304])).
% 116.51/90.57 tff(c_215990, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2' | ~$less(0, '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_215963, c_3002])).
% 116.51/90.57 tff(c_216103, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_213809, c_215990])).
% 116.51/90.57 tff(c_216040, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_213809, c_215990])).
% 116.51/90.57 tff(c_262550, plain, (![A__questionmark_v0_75667:Nat$, A__questionmark_v1_75668:Nat$]: (fun_app$b(of_nat$, A__questionmark_v0_75667)=0 | fun_app$b(of_nat$, A__questionmark_v1_75668)!=$uminus(fun_app$b(of_nat$, A__questionmark_v0_75667)))), inference(cnfTransformation, [status(thm)], [f_3862])).
% 116.51/90.57 tff(c_262590, plain, (![A__questionmark_v1_75668:Nat$]: (fun_app$b(of_nat$, '#skF_148'('#skE_2'))=0 | fun_app$b(of_nat$, A__questionmark_v1_75668)!=$uminus('#skE_2'))), inference(superposition, [status(thm), theory('equality')], [c_216040, c_262550])).
% 116.51/90.57 tff(c_262643, plain, (![A__questionmark_v1_75668:Nat$]: ('#skE_2'=0 | fun_app$b(of_nat$, A__questionmark_v1_75668)!=$uminus('#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_216103, c_262590])).
% 116.51/90.57 tff(c_262853, plain, (![A__questionmark_v1_75740:Nat$]: (fun_app$b(of_nat$, A__questionmark_v1_75740)!=$uminus('#skE_2'))), inference(splitLeft, [status(thm)], [c_262643])).
% 116.51/90.57 tff(c_262882, plain, ($less(0, fun_app$b(of_nat$, '#skF_152'($uminus('#skE_2'))))), inference(superposition, [status(thm), theory('equality')], [c_2457, c_262853])).
% 116.51/90.57 tff(c_279026, plain, (fun_app$b(of_nat$, '#skF_152'($uminus('#skE_2')))='#skE_3'), inference(define, [status(thm), theory('equality')], [c_262882])).
% 116.51/90.57 tff(c_279239, plain, ('#skE_3'=$uminus($uminus('#skE_2')) | ~$less($sum($uminus('#skE_2'), '#skE_1'), 0)), inference(superposition, [status(thm), theory('equality')], [c_258264, c_279026])).
% 116.51/90.57 tff(c_279241, plain, ('#skE_3'='#skE_2' | ~$less('#skE_1', '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_279239])).
% 116.51/90.57 tff(c_279275, plain, (~$less('#skE_1', '#skE_2')), inference(splitLeft, [status(thm)], [c_279241])).
% 116.51/90.57 tff(c_215987, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1' | ~$less(0, '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_215963, c_3124])).
% 116.51/90.57 tff(c_216057, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_126364, c_215987])).
% 116.51/90.57 tff(c_216033, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_126364, c_215987])).
% 116.51/90.57 tff(c_262595, plain, (![A__questionmark_v1_75668:Nat$]: (fun_app$b(of_nat$, '#skF_148'('#skE_1'))=0 | fun_app$b(of_nat$, A__questionmark_v1_75668)!=$uminus('#skE_1'))), inference(superposition, [status(thm), theory('equality')], [c_216033, c_262550])).
% 116.51/90.57 tff(c_262649, plain, (![A__questionmark_v1_75668:Nat$]: ('#skE_1'=0 | fun_app$b(of_nat$, A__questionmark_v1_75668)!=$uminus('#skE_1'))), inference(demodulation, [status(thm), theory('equality')], [c_216057, c_262595])).
% 116.51/90.57 tff(c_262768, plain, (![A__questionmark_v1_75702:Nat$]: (fun_app$b(of_nat$, A__questionmark_v1_75702)!=$uminus('#skE_1'))), inference(splitLeft, [status(thm)], [c_262649])).
% 116.51/90.57 tff(c_262797, plain, ($less(0, fun_app$b(of_nat$, '#skF_152'($uminus('#skE_1'))))), inference(superposition, [status(thm), theory('equality')], [c_2457, c_262768])).
% 116.51/90.57 tff(c_274680, plain, (fun_app$b(of_nat$, '#skF_152'($uminus('#skE_1')))='#skE_4'), inference(define, [status(thm), theory('equality')], [c_262797])).
% 116.51/90.57 tff(c_216215, plain, (fun_app$b(of_nat$, '#skF_149'('#skE_2'))='#skE_2' | ~$less(0, '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_216185, c_3002])).
% 116.51/90.57 tff(c_216269, plain, (fun_app$b(of_nat$, '#skF_149'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_213809, c_216215])).
% 116.51/90.57 tff(c_227138, plain, (![A__questionmark_v1_66222:Nat$]: (~$less($sum('#skE_2', fun_app$b(of_nat$, A__questionmark_v1_66222)), 0))), inference(superposition, [status(thm), theory('equality')], [c_216269, c_227064])).
% 116.51/90.57 tff(c_258265, plain, (![A__questionmark_v0_74785a:$int]: (~$less($sum('#skE_2', A__questionmark_v0_74785a), 0) | fun_app$b(of_nat$, '#skF_152'(A__questionmark_v0_74785a))=$uminus(A__questionmark_v0_74785a))), inference(superposition, [status(thm), theory('equality')], [c_258204, c_227138])).
% 116.51/90.57 tff(c_258267, plain, (![A__questionmark_v0_74785a:$int]: (~$less($sum(A__questionmark_v0_74785a, '#skE_2'), 0) | fun_app$b(of_nat$, '#skF_152'(A__questionmark_v0_74785a))=$uminus(A__questionmark_v0_74785a))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_258265])).
% 116.51/90.57 tff(c_274819, plain, (~$less($sum($uminus('#skE_1'), '#skE_2'), 0) | '#skE_4'=$uminus($uminus('#skE_1'))), inference(superposition, [status(thm), theory('equality')], [c_274680, c_258267])).
% 116.51/90.57 tff(c_274821, plain, (~$less('#skE_2', '#skE_1') | '#skE_4'='#skE_1'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_274819])).
% 116.51/90.57 tff(c_275023, plain, (~$less('#skE_2', '#skE_1')), inference(splitLeft, [status(thm)], [c_274821])).
% 116.51/90.57 tff(c_279276, plain, $false, inference(close, [status(thm), theory('LIA')], [c_279275, c_275023, c_2847])).
% 116.51/90.57 tff(c_279280, plain, ($less('#skE_1', '#skE_2')), inference(splitRight, [status(thm)], [c_279241])).
% 116.51/90.57 tff(c_216058, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_1'))='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_126364, c_215987])).
% 116.51/90.57 tff(c_217180, plain, (nat$('#skE_1')='#skF_148'('#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_216058, c_2304])).
% 116.51/90.57 tff(c_217521, plain, (fun_app$c(dil_inverse$(f$), n$)='#skF_148'('#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_217180, c_2982])).
% 116.51/90.57 tff(c_216334, plain, (fun_app$b(of_nat$, '#skF_149'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_213809, c_216215])).
% 116.51/90.57 tff(c_216379, plain, (nat$('#skE_2')='#skF_149'('#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_216334, c_2304])).
% 116.51/90.57 tff(c_216104, plain, (fun_app$b(of_nat$, '#skF_148'('#skE_2'))='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_213809, c_215990])).
% 116.51/90.57 tff(c_217959, plain, (nat$('#skE_2')='#skF_148'('#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_216104, c_2304])).
% 116.51/90.57 tff(c_218116, plain, ('#skF_149'('#skE_2')='#skF_148'('#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_216379, c_217959])).
% 116.51/90.57 tff(c_230100, plain, ('#skF_149'('#skE_2')='#skF_148'('#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_218116])).
% 116.51/90.57 tff(c_216622, plain, (nat$('#skE_2')='#skF_149'('#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_216334, c_2304])).
% 116.51/90.57 tff(c_216637, plain, (fun_app$c(g$, n$)='#skF_149'('#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_216622, c_2986])).
% 116.51/90.57 tff(c_230118, plain, (fun_app$c(g$, n$)='#skF_148'('#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_230100, c_216637])).
% 116.51/90.57 tff(c_285674, plain, (![A__questionmark_v0_78906:Nat$]: (~$less(fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), A__questionmark_v0_78906)), fun_app$b(of_nat$, fun_app$c(g$, A__questionmark_v0_78906))))), inference(cnfTransformation, [status(thm)], [f_336])).
% 116.51/90.57 tff(c_285677, plain, (~$less(fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), n$)), fun_app$b(of_nat$, '#skF_148'('#skE_2')))), inference(superposition, [status(thm), theory('equality')], [c_230118, c_285674])).
% 116.51/90.57 tff(c_285684, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_279280, c_216057, c_216103, c_217521, c_285677])).
% 116.51/90.57 tff(c_285688, plain, ($less('#skE_2', '#skE_1')), inference(splitRight, [status(thm)], [c_274821])).
% 116.51/90.57 tff(c_315760, plain, (![A__questionmark_v0_82348:Nat$]: (~$less(fun_app$b(of_nat$, fun_app$c(g$, A__questionmark_v0_82348)), fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), A__questionmark_v0_82348))))), inference(cnfTransformation, [status(thm)], [f_332])).
% 116.51/90.57 tff(c_315763, plain, (~$less(fun_app$b(of_nat$, '#skF_148'('#skE_2')), fun_app$b(of_nat$, fun_app$c(dil_inverse$(f$), n$)))), inference(superposition, [status(thm), theory('equality')], [c_230118, c_315760])).
% 116.51/90.57 tff(c_315770, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_285688, c_216057, c_216103, c_217521, c_315763])).
% 116.51/90.57 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.51/90.57
% 116.51/90.57 Inference rules
% 116.51/90.57 ----------------------
% 116.51/90.57 #Ref : 0
% 116.51/90.57 #Sup : 62848
% 116.51/90.57 #Fact : 7
% 116.51/90.57 #Define : 8
% 116.51/90.57 #Split : 183
% 116.51/90.57 #Chain : 0
% 116.51/90.57 #Close : 14
% 116.51/90.57
% 116.51/90.57 Ordering : LPO
% 116.51/90.57
% 116.51/90.57 Simplification rules
% 116.51/90.57 ----------------------
% 116.51/90.57 #Subsume : 18752
% 116.51/90.57 #Demod : 35781
% 116.51/90.57 #Tautology : 29055
% 116.51/90.57 #SimpNegUnit : 20344
% 116.51/90.57 #BackRed : 658
% 116.51/90.57
% 116.51/90.57 #Partial instantiations: 4505
% 116.51/90.57 #Strategies tried : 1
% 116.51/90.57
% 116.51/90.57 Timing (in seconds)
% 116.51/90.57 ----------------------
% 116.51/90.57 Preprocessing : 2.03
% 116.51/90.57 Parsing : 0.89
% 116.51/90.57 CNF conversion : 0.18
% 116.51/90.57 Main loop : 87.36
% 116.51/90.57 Inferencing : 10.97
% 116.51/90.57 Reduction : 41.09
% 116.51/90.57 Demodulation : 33.99
% 116.51/90.57 BG Simplification : 1.29
% 116.51/90.57 Subsumption : 30.70
% 116.51/90.57 Abstraction : 0.61
% 116.51/90.57 MUC search : 0.04
% 116.51/90.57 Cooper : 0.20
% 116.51/90.57 Total : 89.48
% 116.51/90.57 Index Insertion : 0.00
% 116.51/90.57 Index Deletion : 0.00
% 116.51/90.57 Index Matching : 0.00
% 116.51/90.57 BG Taut test : 0.00
%------------------------------------------------------------------------------