TSTP Solution File: ITP388_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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 10:44:35 EDT 2023
% Result : Theorem 20.41s 6.15s
% Output : CNFRefutation 20.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.35 % Computer : n009.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 3 18:36:24 EDT 2023
% 0.16/0.35 % CPUTime :
% 20.41/6.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.41/6.15
% 20.41/6.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.68/6.18 %$ member$e > member$d > member$c > member$b > less_eq$f > less_eq$e > less_eq$ > inj_on$o > inj_on$n > inj_on$m > inj_on$h > inj_on$f > inj_on$c > inj_on$b > inj_on$a > fun_app$w > fun_app$u > fun_app$p > fun_app$m > fun_app$l > fun_app$b > fun_app$ah > fun_app$a > fun_app$ > folding_insort_key_axioms$a > folding_insort_key_axioms$ > uum$ > uul$ > uuk$ > uuj$ > uut$ > uus$ > uub$ > uua$ > uu$ > the_inv_into$d > the_inv_into$c > the_inv_into$b > the_inv_into$a > the_inv_into$ > tensor_ell2$c > tensor_ell2$b > tensor_ell2$a > sub$a > plus$ > minus$g > minus$f > minus$d > minus$c > minus$b > image$h > image$g > image$f > image$e > image$d > image$c > image$b > fun_app$z > fun_app$y > fun_app$x > fun_app$v > fun_app$t > fun_app$s > fun_app$r > fun_app$q > fun_app$o > fun_app$n > fun_app$k > fun_app$j > fun_app$i > fun_app$h > fun_app$g > fun_app$f > fun_app$e > fun_app$d > fun_app$c > fun_app$ai > fun_app$ag > fun_app$af > fun_app$ae > fun_app$ad > fun_app$ac > fun_app$ab > fun_app$aa > comp$n > comp$m > comp$l > comp$k > comp$j > comp$i > comp$h > comp$g > comp$f > comp$e > comp$d > comp$c > comp$b > comp$a > comp$ > #nlpp > uuw$ > uuu$ > uur$ > uuq$ > uup$ > uuo$ > uun$ > uug$ > uuf$ > uue$ > uud$ > uminus$e > uminus$d > uminus$c > uminus$b > uminus$a > uminus$ > tensor_ell2$d > tensor_ell2$ > sub$ > plus$a > of_nat$ > numeral$b > nat$ > minus$h > minus$e > minus$a > minus$ > member$a > member$ > less_eq$b > less_eq$a > inj_on$l > inj_on$k > inj_on$j > inj_on$i > inj_on$g > inj_on$e > inj_on$d > inj_on$ > image$a > image$ > fpow$b > fpow$a > fpow$ > eps$a > eps$ > dbl_inc$a > dbl_dec$ > dbl$a > collect$b > collect$a > collect$ > zero$e > zero$d > zero$c > zero$b > zero$a > zero$ > uuv$ > uui$ > uuh$ > uuc$ > top$i > top$h > top$g > top$f > top$e > top$d > top$c > top$b > top$a > top$ > to_nat$ > psi$ > one$c > one$b > one$a > one$ > numeral$a > numeral$ > less_eq$d > less_eq$c > inc$ > dbl_inc$ > dbl_dec$a > dbl$ > bitM$ > bit1$ > bit0$ > #skF_38 > #skF_29 > #skF_90 > #skF_104 > #skF_40 > #skF_86 > #skF_125 > #skF_131 > #skF_10 > #skF_130 > #skF_108 > #skF_19 > #skF_72 > #skF_49 > #skF_188 > #skF_122 > #skF_33 > #skF_157 > #skF_165 > #skF_88 > #skF_60 > #skF_124 > #skF_57 > #skF_73 > #skF_1 > #skF_51 > #skF_89 > #skF_101 > #skF_132 > #skF_187 > #skF_179 > #skF_17 > #skF_185 > #skF_147 > #skF_44 > #skF_149 > #skF_53 > #skF_120 > #skF_35 > #skF_98 > #skF_102 > #skF_178 > #skF_183 > #skF_181 > #skF_48 > #skF_171 > #skF_91 > #skF_61 > #skF_121 > #skF_113 > #skF_172 > #skF_118 > #skF_114 > #skF_6 > #skF_109 > #skF_143 > #skF_133 > #skF_173 > #skF_84 > #skF_79 > #skF_59 > #skF_69 > #skF_170 > #skF_41 > #skF_129 > #skF_13 > #skF_54 > #skF_100 > #skF_45 > #skF_97 > #skF_106 > #skF_137 > #skF_164 > #skF_4 > #skF_9 > #skF_52 > #skF_138 > #skF_176 > #skF_151 > #skF_76 > #skF_144 > #skF_30 > #skF_21 > #skF_66 > #skF_184 > #skF_36 > #skF_3 > #skF_139 > #skF_135 > #skF_64 > #skF_16 > #skF_18 > #skF_55 > #skF_12 > #skF_2 > #skF_20 > #skF_24 > #skF_156 > #skF_39 > #skF_167 > #skF_155 > #skF_67 > #skF_115 > #skF_78 > #skF_123 > #skF_37 > #skF_47 > #skF_145 > #skF_71 > #skF_140 > #skF_189 > #skF_77 > #skF_110 > #skF_74 > #skF_162 > #skF_163 > #skF_70 > #skF_158 > #skF_182 > #skF_116 > #skF_186 > #skF_161 > #skF_93 > #skF_103 > #skF_82 > #skF_166 > #skF_146 > #skF_99 > #skF_22 > #skF_177 > #skF_43 > #skF_180 > #skF_15 > #skF_85 > #skF_42 > #skF_5 > #skF_28 > #skF_34 > #skF_174 > #skF_31 > #skF_80 > #skF_128 > #skF_50 > #skF_153 > #skF_160 > #skF_169 > #skF_168 > #skF_152 > #skF_81 > #skF_62 > #skF_25 > #skF_154 > #skF_105 > #skF_142 > #skF_8 > #skF_75 > #skF_112 > #skF_136 > #skF_26 > #skF_96 > #skF_150 > #skF_175 > #skF_107 > #skF_111 > #skF_94 > #skF_148 > #skF_83 > #skF_46 > #skF_56 > #skF_159 > #skF_11 > #skF_117 > #skF_119 > #skF_14 > #skF_87 > #skF_27 > #skF_95 > #skF_65 > #skF_141 > #skF_127 > #skF_68 > #skF_126 > #skF_23 > #skF_32 > #skF_92 > #skF_58 > #skF_134 > #skF_7 > #skF_63
% 20.68/6.18
% 20.68/6.18 %Foreground sorts:
% 20.68/6.18 tff(Int_set$, type, Int_set$: $tType ).
% 20.68/6.18 tff(Nat$, type, Nat$: $tType ).
% 20.68/6.18 tff(Nat_set_nat_set_fun$, type, Nat_set_nat_set_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_bool_fun$, type, A_b_prod_ell2_bool_fun$: $tType ).
% 20.68/6.18 tff(Enat_enat_fun$, type, Enat_enat_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_nat_fun$, type, A_b_prod_ell2_nat_fun$: $tType ).
% 20.68/6.18 tff(Num_enat_fun$, type, Num_enat_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2$, type, A_b_prod_ell2$: $tType ).
% 20.68/6.18 tff(Num_int_fun$, type, Num_int_fun$: $tType ).
% 20.68/6.18 tff(B_ell2_nat_fun$, type, B_ell2_nat_fun$: $tType ).
% 20.68/6.18 tff(Num_num_bool_fun_fun$, type, Num_num_bool_fun_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_set_a_b_prod_ell2_fun$, type, A_b_prod_ell2_set_a_b_prod_ell2_fun$: $tType ).
% 20.68/6.18 tff(Enat_set$, type, Enat_set$: $tType ).
% 20.68/6.18 tff(B_ell2_bool_fun$, type, B_ell2_bool_fun$: $tType ).
% 20.68/6.18 tff(Int_int_fun$, type, Int_int_fun$: $tType ).
% 20.68/6.18 tff(Nat_nat_fun$, type, Nat_nat_fun$: $tType ).
% 20.68/6.18 tff(B_ell2_set_set$, type, B_ell2_set_set$: $tType ).
% 20.68/6.18 tff(Nat_b_ell2_fun$, type, Nat_b_ell2_fun$: $tType ).
% 20.68/6.18 tff(Enat_int_fun$, type, Enat_int_fun$: $tType ).
% 20.68/6.18 tff(B_ell2_set$, type, B_ell2_set$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_set$, type, A_b_prod_ell2_set$: $tType ).
% 20.68/6.18 tff(A_ell2_set$, type, A_ell2_set$: $tType ).
% 20.68/6.18 tff(B_ell2$, type, B_ell2$: $tType ).
% 20.68/6.18 tff(Enat_bool_fun$, type, Enat_bool_fun$: $tType ).
% 20.68/6.18 tff(A_ell2$, type, A_ell2$: $tType ).
% 20.68/6.18 tff(Nat_set_set$, type, Nat_set_set$: $tType ).
% 20.68/6.18 tff(A_b_prod_a_prod_ell2$, type, A_b_prod_a_prod_ell2$: $tType ).
% 20.68/6.18 tff(Nat_set$, type, Nat_set$: $tType ).
% 20.68/6.18 tff(Num_bool_fun$, type, Num_bool_fun$: $tType ).
% 20.68/6.18 tff(B_ell2_b_ell2_fun$, type, B_ell2_b_ell2_fun$: $tType ).
% 20.68/6.18 tff(Int_int_bool_fun_fun$, type, Int_int_bool_fun_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_b_ell2_fun$, type, A_b_prod_ell2_b_ell2_fun$: $tType ).
% 20.68/6.18 tff(Enat$, type, Enat$: $tType ).
% 20.68/6.18 tff(Int_num_fun$, type, Int_num_fun$: $tType ).
% 20.68/6.18 tff(B_ell2_b_a_prod_ell2_fun$, type, B_ell2_b_a_prod_ell2_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_set_bool_fun$, type, A_b_prod_ell2_set_bool_fun$: $tType ).
% 20.68/6.18 tff(B_ell2_set_a_b_prod_ell2_set_fun$, type, B_ell2_set_a_b_prod_ell2_set_fun$: $tType ).
% 20.68/6.18 tff(B_ell2_a_b_prod_ell2_fun$, type, B_ell2_a_b_prod_ell2_fun$: $tType ).
% 20.68/6.18 tff(Nat_bool_fun$, type, Nat_bool_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$, type, A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$: $tType ).
% 20.68/6.18 tff(Enat_num_fun$, type, Enat_num_fun$: $tType ).
% 20.68/6.18 tff(Nat_a_b_prod_ell2_fun$, type, Nat_a_b_prod_ell2_fun$: $tType ).
% 20.68/6.18 tff(Nat_nat_fun_bool_fun$, type, Nat_nat_fun_bool_fun$: $tType ).
% 20.68/6.18 tff(A_ell2_a_ell2_fun$, type, A_ell2_a_ell2_fun$: $tType ).
% 20.68/6.18 tff(Enat_enat_bool_fun_fun$, type, Enat_enat_bool_fun_fun$: $tType ).
% 20.68/6.18 tff(Num_num_fun$, type, Num_num_fun$: $tType ).
% 20.68/6.18 tff(B_a_prod_ell2$, type, B_a_prod_ell2$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_set_set$, type, A_b_prod_ell2_set_set$: $tType ).
% 20.68/6.18 tff(Nat_set_bool_fun$, type, Nat_set_bool_fun$: $tType ).
% 20.68/6.18 tff(A_a_prod_ell2$, type, A_a_prod_ell2$: $tType ).
% 20.68/6.18 tff(Int_bool_fun$, type, Int_bool_fun$: $tType ).
% 20.68/6.18 tff(Int_enat_fun$, type, Int_enat_fun$: $tType ).
% 20.68/6.18 tff(A_ell2_a_b_prod_ell2_fun$, type, A_ell2_a_b_prod_ell2_fun$: $tType ).
% 20.68/6.18 tff(Num$, type, Num$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_a_b_prod_ell2_fun$, type, A_b_prod_ell2_a_b_prod_ell2_fun$: $tType ).
% 20.68/6.18 tff(A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$, type, A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$: $tType ).
% 20.68/6.18
% 20.68/6.18 %Background operators:
% 20.68/6.18
% 20.68/6.18
% 20.68/6.18 %Foreground operators:
% 20.68/6.18 tff('#skF_38', type, '#skF_38': (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_b_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff('#skF_29', type, '#skF_29': Nat_nat_fun$ > Nat$).
% 20.68/6.18 tff(comp$e, type, comp$e: (B_ell2_b_ell2_fun$ * B_ell2_b_ell2_fun$) > B_ell2_b_ell2_fun$).
% 20.68/6.18 tff('#skF_90', type, '#skF_90': ($int * $int * Int_enat_fun$ * Enat$) > $int).
% 20.68/6.18 tff('#skF_104', type, '#skF_104': ($int * Enat_int_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_40', type, '#skF_40': (Nat_set$ * Nat_nat_fun$ * Nat_nat_fun$) > Nat$).
% 20.68/6.18 tff('#skF_86', type, '#skF_86': (Enat$ * Enat$ * Enat_int_fun$ * $int) > Enat$).
% 20.68/6.18 tff(uuv$, type, uuv$: Nat_nat_fun_bool_fun$).
% 20.68/6.18 tff('#skF_125', type, '#skF_125': ($int * $int * Int_num_fun$ * Num$) > $int).
% 20.68/6.18 tff('#skF_131', type, '#skF_131': (Num$ * Num_num_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff(minus$g, type, minus$g: (Nat_bool_fun$ * Nat_bool_fun$) > Nat_bool_fun$).
% 20.68/6.18 tff('#skF_10', type, '#skF_10': (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > B_ell2$).
% 20.68/6.18 tff('#skF_130', type, '#skF_130': (Num$ * Num_num_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff(member$a, type, member$a: A_b_prod_ell2$ > A_b_prod_ell2_set_bool_fun$).
% 20.68/6.18 tff('#skF_108', type, '#skF_108': (Enat$ * Int_enat_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_19', type, '#skF_19': (Nat_set$ * Nat_nat_fun$) > Nat$).
% 20.68/6.18 tff('#skF_72', type, '#skF_72': (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_set_a_b_prod_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * B_ell2_set$) > B_ell2$).
% 20.68/6.18 tff(uut$, type, uut$: (Nat_set$ * Nat_bool_fun$) > Nat_bool_fun$).
% 20.68/6.18 tff(comp$c, type, comp$c: (A_b_prod_ell2_a_b_prod_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(fun_app$y, type, fun_app$y: (A_ell2_a_ell2_fun$ * A_ell2$) > A_ell2$).
% 20.68/6.18 tff(collect$b, type, collect$b: Nat_bool_fun$ > Nat_set$).
% 20.68/6.18 tff('#skF_49', type, '#skF_49': Nat$).
% 20.68/6.18 tff(uub$, type, uub$: (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_b_ell2_fun$) > A_b_prod_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(dbl_inc$, type, dbl_inc$: Int_int_fun$).
% 20.68/6.18 tff(eps$a, type, eps$a: Nat_bool_fun$ > Nat$).
% 20.68/6.18 tff('#skF_188', type, '#skF_188': Num$ > Num$).
% 20.68/6.18 tff('#skF_122', type, '#skF_122': (Enat$ * Enat$ * Enat_int_fun$ * $int) > Enat$).
% 20.68/6.18 tff('#skF_33', type, '#skF_33': Nat_nat_fun$ > Nat$).
% 20.68/6.18 tff(uup$, type, uup$: B_ell2$ > B_ell2_b_ell2_fun$).
% 20.68/6.18 tff(comp$b, type, comp$b: (Nat_nat_fun$ * Nat_nat_fun$) > Nat_nat_fun$).
% 20.68/6.18 tff(zero$c, type, zero$c: A_a_prod_ell2$).
% 20.68/6.18 tff(fun_app$h, type, fun_app$h: (Int_int_fun$ * $int) > $int).
% 20.68/6.18 tff('#skF_157', type, '#skF_157': (Enat_enat_bool_fun_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_165', type, '#skF_165': (A_b_prod_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > B_ell2_set$).
% 20.68/6.18 tff(comp$a, type, comp$a: (A_b_prod_ell2_b_ell2_fun$ * Nat_a_b_prod_ell2_fun$) > Nat_b_ell2_fun$).
% 20.68/6.18 tff('#skF_88', type, '#skF_88': ($int * $int * Int_num_fun$ * Num$) > $int).
% 20.68/6.18 tff(inj_on$g, type, inj_on$g: A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$ > A_b_prod_ell2_set_bool_fun$).
% 20.68/6.18 tff('#skF_60', type, '#skF_60': (A_b_prod_ell2$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > B_ell2$).
% 20.68/6.18 tff('#skF_124', type, '#skF_124': ($int * $int * Int_num_fun$ * Num$) > $int).
% 20.68/6.18 tff(image$a, type, image$a: Nat_nat_fun$ > Nat_set_nat_set_fun$).
% 20.68/6.18 tff('#skF_57', type, '#skF_57': (B_ell2_set$ * B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff(comp$m, type, comp$m: (B_ell2_nat_fun$ * Nat_b_ell2_fun$) > Nat_nat_fun$).
% 20.68/6.18 tff(top$a, type, top$a: B_ell2_set$).
% 20.68/6.18 tff('#skF_73', type, '#skF_73': (B_ell2_set$ * A_b_prod_ell2_set_a_b_prod_ell2_fun$ * B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff('#skF_1', type, '#skF_1': A_b_prod_ell2$ > B_ell2$).
% 20.68/6.18 tff('#skF_51', type, '#skF_51': A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_89', type, '#skF_89': ($int * $int * Int_num_fun$ * Num$) > $int).
% 20.68/6.18 tff(dbl$, type, dbl$: Int_int_fun$).
% 20.68/6.18 tff(sub$a, type, sub$a: (Num$ * Num$) > A_ell2$).
% 20.68/6.18 tff('#skF_101', type, '#skF_101': (Num$ * Enat_num_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff(minus$f, type, minus$f: (Int_set$ * Int_set$) > Int_set$).
% 20.68/6.18 tff(comp$l, type, comp$l: (Nat_nat_fun$ * A_b_prod_ell2_nat_fun$) > A_b_prod_ell2_nat_fun$).
% 20.68/6.18 tff(less_eq$f, type, less_eq$f: (A_b_prod_ell2_set_set$ * A_b_prod_ell2_set_set$) > $o).
% 20.68/6.18 tff(top$e, type, top$e: A_ell2_set$).
% 20.68/6.18 tff(fun_app$g, type, fun_app$g: (B_ell2_b_a_prod_ell2_fun$ * B_ell2$) > B_a_prod_ell2$).
% 20.68/6.18 tff('#skF_132', type, '#skF_132': (Num$ * Enat_num_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff(fun_app$d, type, fun_app$d: (A_ell2_a_b_prod_ell2_fun$ * A_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_187', type, '#skF_187': (Nat_set$ * Nat$) > Nat$).
% 20.68/6.18 tff('#skF_179', type, '#skF_179': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_set_bool_fun$) > B_ell2_set$).
% 20.68/6.18 tff(image$g, type, image$g: (Int_int_fun$ * Int_set$) > Int_set$).
% 20.68/6.18 tff(dbl_inc$a, type, dbl_inc$a: A_ell2$ > A_ell2$).
% 20.68/6.18 tff(inj_on$c, type, inj_on$c: (B_ell2_nat_fun$ * B_ell2_set$) > $o).
% 20.68/6.18 tff('#skF_17', type, '#skF_17': (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff('#skF_185', type, '#skF_185': (Nat_bool_fun$ * Nat$ * Nat$) > Nat$).
% 20.68/6.18 tff('#skF_147', type, '#skF_147': ($int * Int_int_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_44', type, '#skF_44': (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$ * B_ell2$) > B_ell2$).
% 20.68/6.18 tff('#skF_149', type, '#skF_149': (Nat_set$ * Nat_set$) > Nat$).
% 20.68/6.18 tff(fun_app$af, type, fun_app$af: (Int_num_fun$ * $int) > Num$).
% 20.68/6.18 tff('#skF_53', type, '#skF_53': B_ell2_set$ > B_ell2$).
% 20.68/6.18 tff('#skF_120', type, '#skF_120': (Enat$ * Enat$ * Enat_enat_fun$ * Enat$) > Enat$).
% 20.68/6.18 tff(fun_app$aa, type, fun_app$aa: (Num_enat_fun$ * Num$) > Enat$).
% 20.68/6.18 tff(inj_on$j, type, inj_on$j: Nat_b_ell2_fun$ > Nat_set_bool_fun$).
% 20.68/6.18 tff(uua$, type, uua$: (B_ell2_a_b_prod_ell2_fun$ * B_ell2_b_ell2_fun$) > B_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(uminus$e, type, uminus$e: Nat_bool_fun$ > Nat_bool_fun$).
% 20.68/6.18 tff('#skF_35', type, '#skF_35': B_ell2_a_b_prod_ell2_fun$ > B_ell2$).
% 20.68/6.18 tff(dbl$a, type, dbl$a: A_ell2$ > A_ell2$).
% 20.68/6.18 tff('#skF_98', type, '#skF_98': ($int * Num_int_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff(fun_app$f, type, fun_app$f: (A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$ * A_b_prod_ell2$) > A_b_prod_a_prod_ell2$).
% 20.68/6.18 tff(fun_app$ag, type, fun_app$ag: (Int_enat_fun$ * $int) > Enat$).
% 20.68/6.18 tff(the_inv_into$b, type, the_inv_into$b: (Nat_set$ * Nat_nat_fun$) > Nat_nat_fun$).
% 20.68/6.18 tff(uue$, type, uue$: A_ell2$ > A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$).
% 20.68/6.18 tff(inc$, type, inc$: Num_num_fun$).
% 20.68/6.18 tff('#skF_102', type, '#skF_102': (Enat$ * Enat_enat_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_178', type, '#skF_178': (B_ell2_bool_fun$ * B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_set$) > B_ell2$).
% 20.68/6.18 tff(bit0$, type, bit0$: Num_num_fun$).
% 20.68/6.18 tff('#skF_183', type, '#skF_183': (Nat_set$ * Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 20.68/6.18 tff(zero$e, type, zero$e: Enat$).
% 20.68/6.18 tff('#skF_181', type, '#skF_181': (Nat_set$ * Nat_set$ * Nat_bool_fun$ * Nat_bool_fun$) > Nat$).
% 20.68/6.18 tff(uminus$a, type, uminus$a: B_ell2_set$ > B_ell2_set$).
% 20.68/6.18 tff(uuq$, type, uuq$: A_b_prod_ell2$ > A_b_prod_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(the_inv_into$a, type, the_inv_into$a: (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$) > A_b_prod_ell2_b_ell2_fun$).
% 20.68/6.18 tff('#skF_48', type, '#skF_48': (A_b_prod_ell2_nat_fun$ * Nat$ * A_b_prod_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff(fun_app$q, type, fun_app$q: (B_ell2_nat_fun$ * B_ell2$) > Nat$).
% 20.68/6.18 tff(top$c, type, top$c: B_ell2_bool_fun$).
% 20.68/6.18 tff('#skF_171', type, '#skF_171': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_set_bool_fun$) > B_ell2_set$).
% 20.68/6.18 tff('#skF_91', type, '#skF_91': ($int * $int * Int_enat_fun$ * Enat$) > $int).
% 20.68/6.18 tff(comp$n, type, comp$n: (A_b_prod_ell2_nat_fun$ * Nat_a_b_prod_ell2_fun$) > Nat_nat_fun$).
% 20.68/6.18 tff(uur$, type, uur$: $int > Int_int_fun$).
% 20.68/6.18 tff('#skF_61', type, '#skF_61': (Nat$ * Nat_nat_fun$ * Nat_set$) > Nat$).
% 20.68/6.18 tff('#skF_121', type, '#skF_121': (Enat$ * Enat$ * Enat_enat_fun$ * Enat$) > Enat$).
% 20.68/6.18 tff(zero$b, type, zero$b: A_b_prod_ell2$).
% 20.68/6.18 tff(top$, type, top$: Nat_set$).
% 20.68/6.18 tff('#skF_113', type, '#skF_113': (Num$ * Num$ * Num_num_fun$ * Num$) > Num$).
% 20.68/6.18 tff(fun_app$ad, type, fun_app$ad: (Enat_enat_fun$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_172', type, '#skF_172': (Nat_nat_fun$ * Nat_set$ * Nat_set_bool_fun$) > Nat_set$).
% 20.68/6.18 tff('#skF_118', type, '#skF_118': (Enat$ * Enat$ * Enat_num_fun$ * Num$) > Enat$).
% 20.68/6.18 tff(tensor_ell2$b, type, tensor_ell2$b: (B_ell2$ * A_ell2$) > B_a_prod_ell2$).
% 20.68/6.18 tff(minus$h, type, minus$h: Enat$ > Enat_enat_fun$).
% 20.68/6.18 tff(minus$d, type, minus$d: (A_b_prod_ell2_set$ * A_b_prod_ell2_set$) > A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_114', type, '#skF_114': (Num$ * Num$ * Num_enat_fun$ * Enat$) > Num$).
% 20.68/6.18 tff('#skF_6', type, '#skF_6': (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > B_ell2$).
% 20.68/6.18 tff(fun_app$t, type, fun_app$t: (Nat_b_ell2_fun$ * Nat$) > B_ell2$).
% 20.68/6.18 tff('#skF_109', type, '#skF_109': (Enat$ * Int_enat_fun$ * $int * $int) > $int).
% 20.68/6.18 tff(uuu$, type, uuu$: Nat_set$ > Nat_bool_fun$).
% 20.68/6.18 tff(comp$h, type, comp$h: (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_b_ell2_fun$) > A_b_prod_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(fun_app$, type, fun_app$: (Nat_nat_fun_bool_fun$ * Nat_nat_fun$) > $o).
% 20.68/6.18 tff(one$b, type, one$b: Enat$).
% 20.68/6.18 tff(minus$c, type, minus$c: (B_ell2_set$ * B_ell2_set$) > B_ell2_set$).
% 20.68/6.18 tff('#skF_143', type, '#skF_143': ($int * Num_int_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_133', type, '#skF_133': (Num$ * Enat_num_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff(the_inv_into$, type, the_inv_into$: (A_b_prod_ell2_set$ * A_b_prod_ell2_b_ell2_fun$) > B_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff('#skF_173', type, '#skF_173': (Nat_nat_fun$ * Nat_set$ * Nat_set_bool_fun$) > Nat_set$).
% 20.68/6.18 tff(uul$, type, uul$: (Nat_nat_fun$ * Nat_set$ * Nat_bool_fun$) > Nat_bool_fun$).
% 20.68/6.18 tff('#skF_84', type, '#skF_84': (Enat$ * Enat$ * Enat_enat_fun$ * Enat$) > Enat$).
% 20.68/6.18 tff(fun_app$j, type, fun_app$j: (B_ell2_b_ell2_fun$ * B_ell2$) > B_ell2$).
% 20.68/6.18 tff('#skF_79', type, '#skF_79': (Num$ * Num$ * Num_enat_fun$ * Enat$) > Num$).
% 20.68/6.18 tff(fun_app$n, type, fun_app$n: (B_ell2_set_a_b_prod_ell2_set_fun$ * B_ell2_set$) > A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_59', type, '#skF_59': (Nat_nat_fun$ * Nat_set$ * Nat_bool_fun$) > Nat$).
% 20.68/6.18 tff(less_eq$b, type, less_eq$b: A_b_prod_ell2_set$ > A_b_prod_ell2_set_bool_fun$).
% 20.68/6.18 tff('#skF_69', type, '#skF_69': (A_b_prod_ell2_b_ell2_fun$ * B_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff(less_eq$d, type, less_eq$d: Enat_enat_bool_fun_fun$).
% 20.68/6.18 tff(fun_app$b, type, fun_app$b: (Nat_bool_fun$ * Nat$) > $o).
% 20.68/6.18 tff(inj_on$k, type, inj_on$k: A_b_prod_ell2_a_b_prod_ell2_fun$ > A_b_prod_ell2_set_bool_fun$).
% 20.68/6.18 tff('#skF_170', type, '#skF_170': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_set_bool_fun$) > A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_41', type, '#skF_41': (Nat_nat_fun$ * Nat$) > Nat$).
% 20.68/6.18 tff(psi$, type, psi$: A_ell2$).
% 20.68/6.18 tff('#skF_129', type, '#skF_129': ($int * $int * Int_int_fun$ * $int) > $int).
% 20.68/6.18 tff('#skF_13', type, '#skF_13': (B_ell2_b_ell2_fun$ * B_ell2_b_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff(fun_app$r, type, fun_app$r: (A_b_prod_ell2_nat_fun$ * A_b_prod_ell2$) > Nat$).
% 20.68/6.18 tff('#skF_54', type, '#skF_54': A_b_prod_ell2_set$ > A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_100', type, '#skF_100': (Num$ * Enat_num_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_45', type, '#skF_45': (B_ell2_nat_fun$ * Nat$) > B_ell2$).
% 20.68/6.18 tff('#skF_97', type, '#skF_97': (Enat$ * Num_enat_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_106', type, '#skF_106': (Num$ * Int_num_fun$ * $int * $int) > $int).
% 20.68/6.18 tff(eps$, type, eps$: Nat_nat_fun_bool_fun$ > Nat_nat_fun$).
% 20.68/6.18 tff('#skF_137', type, '#skF_137': (Enat$ * Num_enat_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff(inj_on$n, type, inj_on$n: (B_ell2_set_a_b_prod_ell2_set_fun$ * B_ell2_set_set$) > $o).
% 20.68/6.18 tff('#skF_164', type, '#skF_164': (Nat_nat_fun$ * Nat_set$ * Nat_set$) > Nat$).
% 20.68/6.18 tff(member$b, type, member$b: (B_ell2$ * B_ell2_set$) > $o).
% 20.68/6.18 tff(top$f, type, top$f: Enat_set$).
% 20.68/6.18 tff(member$e, type, member$e: ($int * Int_set$) > $o).
% 20.68/6.18 tff('#skF_4', type, '#skF_4': (Nat$ * A_b_prod_ell2_nat_fun$) > A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_9', type, '#skF_9': (B_ell2_b_ell2_fun$ * B_ell2$) > B_ell2$).
% 20.68/6.18 tff('#skF_52', type, '#skF_52': Nat_set$ > Nat$).
% 20.68/6.18 tff('#skF_138', type, '#skF_138': (Enat$ * Enat_enat_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff(comp$i, type, comp$i: (A_b_prod_ell2_b_ell2_fun$ * A_b_prod_ell2_a_b_prod_ell2_fun$) > A_b_prod_ell2_b_ell2_fun$).
% 20.68/6.18 tff('#skF_176', type, '#skF_176': (Nat_nat_fun$ * Nat_set$ * Nat_set_bool_fun$) > Nat_set$).
% 20.68/6.18 tff(less_eq$e, type, less_eq$e: (Nat_bool_fun$ * Nat_bool_fun$) > $o).
% 20.68/6.18 tff('#skF_151', type, '#skF_151': (Num_num_bool_fun_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_76', type, '#skF_76': (Num$ * Num$ * Num_num_fun$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_144', type, '#skF_144': ($int * Enat_int_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff(uuw$, type, uuw$: Nat$ > Nat_nat_fun$).
% 20.68/6.18 tff(inj_on$, type, inj_on$: Nat_nat_fun$ > Nat_set_bool_fun$).
% 20.68/6.18 tff(uminus$, type, uminus$: Nat_set$ > Nat_set$).
% 20.68/6.18 tff('#skF_30', type, '#skF_30': Nat_nat_fun$ > Nat$).
% 20.68/6.18 tff('#skF_21', type, '#skF_21': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > B_ell2$).
% 20.68/6.18 tff('#skF_66', type, '#skF_66': B_ell2_a_b_prod_ell2_fun$ > A_b_prod_ell2$).
% 20.68/6.18 tff(one$c, type, one$c: Num$).
% 20.68/6.18 tff('#skF_184', type, '#skF_184': (Num_bool_fun$ * Num$) > Num$).
% 20.68/6.18 tff(uun$, type, uun$: Nat_nat_fun$ > Nat_bool_fun$).
% 20.68/6.18 tff(fpow$, type, fpow$: B_ell2_set$ > B_ell2_set_set$).
% 20.68/6.18 tff('#skF_36', type, '#skF_36': B_ell2_a_b_prod_ell2_fun$ > B_ell2$).
% 20.68/6.18 tff('#skF_3', type, '#skF_3': (Nat$ * B_ell2_nat_fun$) > B_ell2$).
% 20.68/6.18 tff('#skF_139', type, '#skF_139': (Enat$ * Enat_enat_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_135', type, '#skF_135': (Num$ * Int_num_fun$ * $int * $int) > $int).
% 20.68/6.18 tff(comp$, type, comp$: (A_b_prod_ell2_nat_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2_nat_fun$).
% 20.68/6.18 tff(comp$k, type, comp$k: (Nat_nat_fun$ * B_ell2_nat_fun$) > B_ell2_nat_fun$).
% 20.68/6.18 tff(uminus$b, type, uminus$b: A_b_prod_ell2_set$ > A_b_prod_ell2_set$).
% 20.68/6.18 tff(fpow$b, type, fpow$b: A_b_prod_ell2_set$ > A_b_prod_ell2_set_set$).
% 20.68/6.18 tff('#skF_64', type, '#skF_64': B_ell2_b_ell2_fun$ > B_ell2$).
% 20.68/6.18 tff('#skF_16', type, '#skF_16': (A_b_prod_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_a_b_prod_ell2_fun$) > A_b_prod_ell2$).
% 20.68/6.18 tff(dbl_dec$, type, dbl_dec$: A_ell2$ > A_ell2$).
% 20.68/6.18 tff(fun_app$k, type, fun_app$k: (A_b_prod_ell2_b_ell2_fun$ * A_b_prod_ell2$) > B_ell2$).
% 20.68/6.18 tff('#skF_18', type, '#skF_18': (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff(uui$, type, uui$: A_b_prod_ell2_bool_fun$).
% 20.68/6.18 tff(uug$, type, uug$: Nat_set$ > Nat_bool_fun$).
% 20.68/6.18 tff('#skF_55', type, '#skF_55': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_bool_fun$) > A_b_prod_ell2$).
% 20.68/6.18 tff(top$b, type, top$b: A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_12', type, '#skF_12': (A_b_prod_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff(fun_app$p, type, fun_app$p: (B_ell2_bool_fun$ * B_ell2$) > $o).
% 20.68/6.18 tff('#skF_2', type, '#skF_2': (A_b_prod_ell2$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff('#skF_20', type, '#skF_20': (Nat_set$ * Nat_nat_fun$) > Nat$).
% 20.68/6.18 tff(uuj$, type, uuj$: (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_bool_fun$) > A_b_prod_ell2_bool_fun$).
% 20.68/6.18 tff('#skF_24', type, '#skF_24': (Nat_nat_fun$ * Nat_set$) > Nat$).
% 20.68/6.18 tff(fun_app$o, type, fun_app$o: (Nat_set_nat_set_fun$ * Nat_set$) > Nat_set$).
% 20.68/6.18 tff(the_inv_into$c, type, the_inv_into$c: (B_ell2_set$ * B_ell2_nat_fun$) > Nat_b_ell2_fun$).
% 20.68/6.18 tff('#skF_156', type, '#skF_156': (Enat_enat_bool_fun_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_39', type, '#skF_39': (Nat_set$ * Nat_nat_fun$ * Nat_nat_fun$) > Nat$).
% 20.68/6.18 tff(inj_on$h, type, inj_on$h: (A_ell2_a_b_prod_ell2_fun$ * A_ell2_set$) > $o).
% 20.68/6.18 tff(plus$, type, plus$: (A_ell2$ * A_ell2$) > A_ell2$).
% 20.68/6.18 tff(sub$, type, sub$: Num$ > Num_int_fun$).
% 20.68/6.18 tff(image$, type, image$: B_ell2_a_b_prod_ell2_fun$ > B_ell2_set_a_b_prod_ell2_set_fun$).
% 20.68/6.18 tff(fun_app$x, type, fun_app$x: (Enat_enat_bool_fun_fun$ * Enat$) > Enat_bool_fun$).
% 20.68/6.18 tff('#skF_167', type, '#skF_167': (Nat_set$ * Nat_nat_fun$ * Nat_set$) > Nat$).
% 20.68/6.18 tff('#skF_155', type, '#skF_155': (Enat_enat_bool_fun_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_67', type, '#skF_67': (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > B_ell2$).
% 20.68/6.18 tff(less_eq$c, type, less_eq$c: Num_num_bool_fun_fun$).
% 20.68/6.18 tff('#skF_115', type, '#skF_115': (Num$ * Num$ * Num_enat_fun$ * Enat$) > Num$).
% 20.68/6.18 tff(uum$, type, uum$: (Nat_nat_fun$ * Nat_set$ * Nat_bool_fun$) > Nat_bool_fun$).
% 20.68/6.18 tff(minus$e, type, minus$e: A_ell2$ > A_ell2_a_ell2_fun$).
% 20.68/6.18 tff('#skF_78', type, '#skF_78': (Num$ * Num$ * Num_enat_fun$ * Enat$) > Num$).
% 20.68/6.18 tff('#skF_123', type, '#skF_123': (Enat$ * Enat$ * Enat_int_fun$ * $int) > Enat$).
% 20.68/6.18 tff('#skF_37', type, '#skF_37': (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_b_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff(folding_insort_key_axioms$a, type, folding_insort_key_axioms$a: (Nat_set$ * Nat_nat_fun$) > $o).
% 20.68/6.18 tff(fun_app$e, type, fun_app$e: (B_ell2_a_b_prod_ell2_fun$ * B_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_47', type, '#skF_47': (A_b_prod_ell2_nat_fun$ * Nat$) > A_b_prod_ell2$).
% 20.68/6.18 tff(inj_on$i, type, inj_on$i: A_b_prod_ell2_b_ell2_fun$ > A_b_prod_ell2_set_bool_fun$).
% 20.68/6.18 tff('#skF_145', type, '#skF_145': ($int * Enat_int_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_71', type, '#skF_71': (A_b_prod_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_140', type, '#skF_140': (Enat$ * Int_enat_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_189', type, '#skF_189': Num$ > Num$).
% 20.68/6.18 tff('#skF_77', type, '#skF_77': (Num$ * Num$ * Num_num_fun$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_110', type, '#skF_110': ($int * Int_int_fun$ * $int * $int) > $int).
% 20.68/6.18 tff(dbl_dec$a, type, dbl_dec$a: Int_int_fun$).
% 20.68/6.18 tff('#skF_74', type, '#skF_74': Nat_nat_fun$).
% 20.68/6.18 tff(minus$, type, minus$: A_b_prod_ell2$ > A_b_prod_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(member$c, type, member$c: (A_ell2$ * A_ell2_set$) > $o).
% 20.68/6.18 tff(to_nat$, type, to_nat$: Nat_nat_fun$).
% 20.68/6.18 tff('#skF_162', type, '#skF_162': (A_b_prod_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > B_ell2_set$).
% 20.68/6.18 tff(uuh$, type, uuh$: B_ell2_bool_fun$).
% 20.68/6.18 tff(fun_app$ai, type, fun_app$ai: (Int_int_bool_fun_fun$ * $int) > Int_bool_fun$).
% 20.68/6.18 tff(fun_app$s, type, fun_app$s: (A_b_prod_ell2_set_a_b_prod_ell2_fun$ * A_b_prod_ell2_set$) > A_b_prod_ell2$).
% 20.68/6.18 tff(fun_app$ab, type, fun_app$ab: (Num_int_fun$ * Num$) > $int).
% 20.68/6.18 tff(inj_on$l, type, inj_on$l: Nat_a_b_prod_ell2_fun$ > Nat_set_bool_fun$).
% 20.68/6.18 tff(fun_app$z, type, fun_app$z: (Num_num_fun$ * Num$) > Num$).
% 20.68/6.18 tff(fun_app$l, type, fun_app$l: (A_b_prod_ell2_bool_fun$ * A_b_prod_ell2$) > $o).
% 20.68/6.18 tff('#skF_163', type, '#skF_163': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_set$) > B_ell2$).
% 20.68/6.18 tff('#skF_70', type, '#skF_70': A_b_prod_ell2_a_b_prod_ell2_fun$ > A_b_prod_ell2$).
% 20.68/6.18 tff(uus$, type, uus$: (Nat_set$ * Nat_set$) > Nat_bool_fun$).
% 20.68/6.18 tff(less_eq$, type, less_eq$: (B_ell2_set$ * B_ell2_set$) > $o).
% 20.68/6.18 tff('#skF_158', type, '#skF_158': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_182', type, '#skF_182': (Nat_set$ * Nat_set$ * Nat_bool_fun$) > Nat$).
% 20.68/6.18 tff('#skF_116', type, '#skF_116': (Num$ * Num$ * Num_int_fun$ * $int) > Num$).
% 20.68/6.18 tff(bitM$, type, bitM$: Num_num_fun$).
% 20.68/6.18 tff(uu$, type, uu$: (A_b_prod_ell2_a_b_prod_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(one$, type, one$: A_ell2$).
% 20.68/6.18 tff('#skF_186', type, '#skF_186': (Nat_bool_fun$ * Nat$ * Nat$) > Nat$).
% 20.68/6.18 tff('#skF_161', type, '#skF_161': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_93', type, '#skF_93': ($int * $int * Int_int_fun$ * $int) > $int).
% 20.68/6.18 tff(numeral$b, type, numeral$b: Num$ > A_ell2$).
% 20.68/6.18 tff('#skF_103', type, '#skF_103': (Enat$ * Enat_enat_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_82', type, '#skF_82': (Enat$ * Enat$ * Enat_num_fun$ * Num$) > Enat$).
% 20.68/6.18 tff(numeral$a, type, numeral$a: Num_enat_fun$).
% 20.68/6.18 tff('#skF_166', type, '#skF_166': (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_set$) > B_ell2$).
% 20.68/6.18 tff(folding_insort_key_axioms$, type, folding_insort_key_axioms$: (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$) > $o).
% 20.68/6.18 tff(inj_on$m, type, inj_on$m: (Int_int_fun$ * Int_set$) > $o).
% 20.68/6.18 tff(fun_app$ae, type, fun_app$ae: (Enat_int_fun$ * Enat$) > $int).
% 20.68/6.18 tff('#skF_146', type, '#skF_146': ($int * Int_int_fun$ * $int * $int) > $int).
% 20.68/6.18 tff(uud$, type, uud$: A_ell2$ > B_ell2_b_a_prod_ell2_fun$).
% 20.68/6.18 tff(inj_on$e, type, inj_on$e: A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$ > A_b_prod_ell2_set_bool_fun$).
% 20.68/6.18 tff('#skF_99', type, '#skF_99': ($int * Num_int_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_22', type, '#skF_22': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > B_ell2$).
% 20.68/6.18 tff('#skF_177', type, '#skF_177': (Nat_nat_fun$ * Nat_set$ * Nat_set_bool_fun$) > Nat_set$).
% 20.68/6.18 tff(uuf$, type, uuf$: B_ell2$ > A_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(image$c, type, image$c: (A_b_prod_ell2_nat_fun$ * A_b_prod_ell2_set$) > Nat_set$).
% 20.68/6.18 tff(bit1$, type, bit1$: Num_num_fun$).
% 20.68/6.18 tff('#skF_43', type, '#skF_43': (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > B_ell2$).
% 20.68/6.18 tff(tensor_ell2$a, type, tensor_ell2$a: (A_b_prod_ell2$ * A_ell2$) > A_b_prod_a_prod_ell2$).
% 20.68/6.18 tff('#skF_180', type, '#skF_180': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_set_bool_fun$) > A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_15', type, '#skF_15': (A_b_prod_ell2_b_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff('#skF_85', type, '#skF_85': (Enat$ * Enat$ * Enat_enat_fun$ * Enat$) > Enat$).
% 20.68/6.18 tff(image$f, type, image$f: (A_b_prod_ell2_b_ell2_fun$ * A_b_prod_ell2_set$) > B_ell2_set$).
% 20.68/6.18 tff('#skF_42', type, '#skF_42': (Nat_nat_fun$ * Nat$ * Nat$) > Nat$).
% 20.68/6.18 tff('#skF_5', type, '#skF_5': (B_ell2_b_ell2_fun$ * B_ell2$) > B_ell2$).
% 20.68/6.18 tff(image$e, type, image$e: (B_ell2_b_ell2_fun$ * B_ell2_set$) > B_ell2_set$).
% 20.68/6.18 tff('#skF_28', type, '#skF_28': (Nat_set$ * Nat_nat_fun$ * Nat_nat_fun$) > Nat$).
% 20.68/6.18 tff('#skF_34', type, '#skF_34': Nat_nat_fun$ > Nat$).
% 20.68/6.18 tff(fun_app$ah, type, fun_app$ah: (Int_bool_fun$ * $int) > $o).
% 20.68/6.18 tff('#skF_174', type, '#skF_174': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_set_bool_fun$) > B_ell2_set$).
% 20.68/6.18 tff('#skF_31', type, '#skF_31': B_ell2_a_b_prod_ell2_fun$ > B_ell2$).
% 20.68/6.18 tff(fun_app$m, type, fun_app$m: (A_b_prod_ell2_set_bool_fun$ * A_b_prod_ell2_set$) > $o).
% 20.68/6.18 tff('#skF_80', type, '#skF_80': (Num$ * Num$ * Num_int_fun$ * $int) > Num$).
% 20.68/6.18 tff('#skF_128', type, '#skF_128': ($int * $int * Int_int_fun$ * $int) > $int).
% 20.68/6.18 tff(collect$a, type, collect$a: A_b_prod_ell2_bool_fun$ > A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_50', type, '#skF_50': B_ell2$).
% 20.68/6.18 tff('#skF_153', type, '#skF_153': (Num_num_bool_fun_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff(collect$, type, collect$: B_ell2_bool_fun$ > B_ell2_set$).
% 20.68/6.18 tff('#skF_160', type, '#skF_160': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_169', type, '#skF_169': (Nat_set$ * Nat_nat_fun$ * Nat_set$) > Nat_set$).
% 20.68/6.18 tff(comp$d, type, comp$d: (B_ell2_a_b_prod_ell2_fun$ * B_ell2_b_ell2_fun$) > B_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff('#skF_168', type, '#skF_168': (A_b_prod_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > B_ell2_set$).
% 20.68/6.18 tff(top$h, type, top$h: Nat_bool_fun$).
% 20.68/6.18 tff('#skF_152', type, '#skF_152': (Num_num_bool_fun_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff(numeral$, type, numeral$: Num_int_fun$).
% 20.68/6.18 tff(uuc$, type, uuc$: Nat_nat_fun$).
% 20.68/6.18 tff(fun_app$v, type, fun_app$v: (Num_num_bool_fun_fun$ * Num$) > Num_bool_fun$).
% 20.68/6.18 tff(inj_on$f, type, inj_on$f: (B_ell2_b_a_prod_ell2_fun$ * B_ell2_set$) > $o).
% 20.68/6.18 tff('#skF_81', type, '#skF_81': (Num$ * Num$ * Num_int_fun$ * $int) > Num$).
% 20.68/6.18 tff('#skF_62', type, '#skF_62': (A_b_prod_ell2$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > B_ell2$).
% 20.68/6.18 tff('#skF_25', type, '#skF_25': (B_ell2_set$ * B_ell2_a_b_prod_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff('#skF_154', type, '#skF_154': (Enat_enat_bool_fun_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff('#skF_105', type, '#skF_105': ($int * Enat_int_fun$ * Enat$ * Enat$) > Enat$).
% 20.68/6.18 tff(of_nat$, type, of_nat$: Nat$ > $int).
% 20.68/6.18 tff(nat$, type, nat$: $int > Nat$).
% 20.68/6.18 tff('#skF_142', type, '#skF_142': ($int * Num_int_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_8', type, '#skF_8': (A_b_prod_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_75', type, '#skF_75': (Nat_set$ * Nat_set$) > Nat$).
% 20.68/6.18 tff('#skF_112', type, '#skF_112': (Num$ * Num$ * Num_num_fun$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_136', type, '#skF_136': (Enat$ * Num_enat_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_26', type, '#skF_26': (Nat_set$ * Nat_nat_fun$ * Nat_nat_fun$) > Nat$).
% 20.68/6.18 tff(zero$, type, zero$: A_ell2$).
% 20.68/6.18 tff(one$a, type, one$a: Nat$).
% 20.68/6.18 tff('#skF_96', type, '#skF_96': (Enat$ * Num_enat_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_150', type, '#skF_150': (Num_num_bool_fun_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_175', type, '#skF_175': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_set_bool_fun$) > A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_107', type, '#skF_107': (Num$ * Int_num_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_111', type, '#skF_111': ($int * Int_int_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_94', type, '#skF_94': (Num$ * Num_num_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff('#skF_148', type, '#skF_148': (Nat_set$ * Nat_set$) > Nat$).
% 20.68/6.18 tff(inj_on$b, type, inj_on$b: (B_ell2_b_ell2_fun$ * B_ell2_set$) > $o).
% 20.68/6.18 tff(plus$a, type, plus$a: Enat$ > Enat_enat_fun$).
% 20.68/6.18 tff(comp$g, type, comp$g: (B_ell2_b_ell2_fun$ * A_b_prod_ell2_b_ell2_fun$) > A_b_prod_ell2_b_ell2_fun$).
% 20.68/6.18 tff('#skF_83', type, '#skF_83': (Enat$ * Enat$ * Enat_num_fun$ * Num$) > Enat$).
% 20.68/6.18 tff(tensor_ell2$d, type, tensor_ell2$d: A_ell2$ > A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$).
% 20.68/6.18 tff('#skF_46', type, '#skF_46': (B_ell2_nat_fun$ * Nat$ * B_ell2$) > B_ell2$).
% 20.68/6.18 tff('#skF_56', type, '#skF_56': (Nat_nat_fun$ * Nat_set$ * Nat_bool_fun$) > Nat$).
% 20.68/6.18 tff(fun_app$a, type, fun_app$a: (Nat_set_bool_fun$ * Nat_set$) > $o).
% 20.68/6.18 tff(inj_on$d, type, inj_on$d: A_b_prod_ell2_nat_fun$ > A_b_prod_ell2_set_bool_fun$).
% 20.68/6.18 tff(top$d, type, top$d: A_b_prod_ell2_bool_fun$).
% 20.68/6.18 tff(fun_app$w, type, fun_app$w: (Enat_bool_fun$ * Enat$) > $o).
% 20.68/6.18 tff('#skF_159', type, '#skF_159': (Int_int_bool_fun_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_11', type, '#skF_11': (A_b_prod_ell2_b_ell2_fun$ * B_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff(inj_on$o, type, inj_on$o: (Nat_set_nat_set_fun$ * Nat_set_set$) > $o).
% 20.68/6.18 tff(fun_app$ac, type, fun_app$ac: (Enat_num_fun$ * Enat$) > Num$).
% 20.68/6.18 tff(minus$b, type, minus$b: (Nat_set$ * Nat_set$) > Nat_set$).
% 20.68/6.18 tff(image$h, type, image$h: (B_ell2_set_a_b_prod_ell2_set_fun$ * B_ell2_set_set$) > A_b_prod_ell2_set_set$).
% 20.68/6.18 tff('#skF_117', type, '#skF_117': (Num$ * Num$ * Num_int_fun$ * $int) > Num$).
% 20.68/6.18 tff(less_eq$a, type, less_eq$a: Nat_set$ > Nat_set_bool_fun$).
% 20.68/6.18 tff('#skF_119', type, '#skF_119': (Enat$ * Enat$ * Enat_num_fun$ * Num$) > Enat$).
% 20.68/6.18 tff('#skF_14', type, '#skF_14': (B_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_b_ell2_fun$) > A_b_prod_ell2$).
% 20.68/6.18 tff(tensor_ell2$, type, tensor_ell2$: A_ell2$ > B_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(member$d, type, member$d: (Enat$ * Enat_set$) > $o).
% 20.68/6.18 tff(image$b, type, image$b: (B_ell2_nat_fun$ * B_ell2_set$) > Nat_set$).
% 20.68/6.18 tff('#skF_87', type, '#skF_87': (Enat$ * Enat$ * Enat_int_fun$ * $int) > Enat$).
% 20.68/6.18 tff(zero$a, type, zero$a: B_ell2$).
% 20.68/6.18 tff('#skF_27', type, '#skF_27': (B_ell2_set$ * A_b_prod_ell2_b_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2$).
% 20.68/6.18 tff(top$g, type, top$g: Int_set$).
% 20.68/6.18 tff(uminus$d, type, uminus$d: Int_set$ > Int_set$).
% 20.68/6.18 tff(comp$f, type, comp$f: (A_b_prod_ell2_b_ell2_fun$ * B_ell2_a_b_prod_ell2_fun$) > B_ell2_b_ell2_fun$).
% 20.68/6.18 tff('#skF_95', type, '#skF_95': (Num$ * Num_num_fun$ * Num$ * Num$) > Num$).
% 20.68/6.18 tff(uminus$c, type, uminus$c: A_ell2$ > A_ell2$).
% 20.68/6.18 tff(the_inv_into$d, type, the_inv_into$d: (A_b_prod_ell2_set$ * A_b_prod_ell2_nat_fun$) > Nat_a_b_prod_ell2_fun$).
% 20.68/6.18 tff(fun_app$u, type, fun_app$u: (Num_bool_fun$ * Num$) > $o).
% 20.68/6.18 tff(fpow$a, type, fpow$a: Nat_set$ > Nat_set_set$).
% 20.68/6.18 tff(tensor_ell2$c, type, tensor_ell2$c: (A_ell2$ * A_ell2$) > A_a_prod_ell2$).
% 20.68/6.18 tff('#skF_65', type, '#skF_65': (B_ell2_b_ell2_fun$ * B_ell2$) > B_ell2$).
% 20.68/6.18 tff('#skF_141', type, '#skF_141': (Enat$ * Int_enat_fun$ * $int * $int) > $int).
% 20.68/6.18 tff(comp$j, type, comp$j: (A_b_prod_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_a_b_prod_ell2_fun$) > A_b_prod_ell2_a_b_prod_ell2_fun$).
% 20.68/6.18 tff('#skF_127', type, '#skF_127': ($int * $int * Int_enat_fun$ * Enat$) > $int).
% 20.68/6.18 tff(image$d, type, image$d: (A_b_prod_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2_set$) > A_b_prod_ell2_set$).
% 20.68/6.18 tff('#skF_68', type, '#skF_68': A_b_prod_ell2_b_ell2_fun$ > B_ell2$).
% 20.68/6.18 tff(inj_on$a, type, inj_on$a: (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$) > $o).
% 20.68/6.18 tff(uuo$, type, uuo$: $int > Int_int_fun$).
% 20.68/6.18 tff(uuk$, type, uuk$: (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_bool_fun$) > B_ell2_bool_fun$).
% 20.68/6.18 tff('#skF_126', type, '#skF_126': ($int * $int * Int_enat_fun$ * Enat$) > $int).
% 20.68/6.18 tff(zero$d, type, zero$d: Nat$).
% 20.68/6.18 tff('#skF_23', type, '#skF_23': (Nat_nat_fun$ * Nat_set$) > Nat$).
% 20.68/6.18 tff('#skF_32', type, '#skF_32': B_ell2_a_b_prod_ell2_fun$ > B_ell2$).
% 20.68/6.18 tff(minus$a, type, minus$a: B_ell2$ > B_ell2_b_ell2_fun$).
% 20.68/6.18 tff('#skF_92', type, '#skF_92': ($int * $int * Int_int_fun$ * $int) > $int).
% 20.68/6.18 tff(member$, type, member$: Nat$ > Nat_set_bool_fun$).
% 20.68/6.18 tff('#skF_58', type, '#skF_58': (B_ell2_a_b_prod_ell2_fun$ * B_ell2_set$ * A_b_prod_ell2_bool_fun$) > B_ell2$).
% 20.68/6.18 tff(fun_app$c, type, fun_app$c: (Nat_nat_fun$ * Nat$) > Nat$).
% 20.68/6.18 tff(top$i, type, top$i: Enat$).
% 20.68/6.18 tff('#skF_134', type, '#skF_134': (Num$ * Int_num_fun$ * $int * $int) > $int).
% 20.68/6.18 tff('#skF_7', type, '#skF_7': (A_b_prod_ell2_b_ell2_fun$ * B_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff(fun_app$i, type, fun_app$i: (A_b_prod_ell2_a_b_prod_ell2_fun$ * A_b_prod_ell2$) > A_b_prod_ell2$).
% 20.68/6.18 tff('#skF_63', type, '#skF_63': (Nat$ * Nat_nat_fun$ * Nat_set$) > Nat$).
% 20.68/6.18
% 20.68/6.19 tff(f_151, negated_conjecture, ~(fun_app$n(image$(tensor_ell2$(psi$)), top$a) = top$b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conjecture24)).
% 20.68/6.19 tff(f_155, axiom, (![A__questionmark_v0:A_b_prod_ell2$]: (?[A__questionmark_v1:B_ell2$]: (fun_app$e(tensor_ell2$(psi$), A__questionmark_v1) = A__questionmark_v0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom25)).
% 20.68/6.19 tff(f_895, axiom, (![A__questionmark_v0:A_b_prod_ell2$, A__questionmark_v1:B_ell2_a_b_prod_ell2_fun$, A__questionmark_v2:B_ell2$]: ((A__questionmark_v0 = fun_app$e(A__questionmark_v1, A__questionmark_v2)) => fun_app$m(member$a(A__questionmark_v0), fun_app$n(image$(A__questionmark_v1), top$a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom130)).
% 20.68/6.19 tff(f_752, axiom, (![A__questionmark_v0:A_b_prod_ell2_set$]: ((![A__questionmark_v1:A_b_prod_ell2$]: fun_app$m(member$a(A__questionmark_v1), A__questionmark_v0)) => (top$b = A__questionmark_v0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom108)).
% 20.68/6.19 tff(c_86, plain, (fun_app$n(image$(tensor_ell2$(psi$)), top$a)!=top$b), inference(cnfTransformation, [status(thm)], [f_151])).
% 20.68/6.19 tff(c_88, plain, (![A__questionmark_v0_58:A_b_prod_ell2$]: (fun_app$e(tensor_ell2$(psi$), '#skF_1'(A__questionmark_v0_58))=A__questionmark_v0_58)), inference(cnfTransformation, [status(thm)], [f_155])).
% 20.68/6.19 tff(c_5217, plain, (![A__questionmark_v1_1756:B_ell2_a_b_prod_ell2_fun$, A__questionmark_v2_1757:B_ell2$]: (fun_app$m(member$a(fun_app$e(A__questionmark_v1_1756, A__questionmark_v2_1757)), fun_app$n(image$(A__questionmark_v1_1756), top$a)))), inference(cnfTransformation, [status(thm)], [f_895])).
% 20.68/6.19 tff(c_5231, plain, (![A__questionmark_v0_1760:A_b_prod_ell2$]: (fun_app$m(member$a(A__questionmark_v0_1760), fun_app$n(image$(tensor_ell2$(psi$)), top$a)))), inference(superposition, [status(thm), theory('equality')], [c_88, c_5217])).
% 20.68/6.19 tff(c_404, plain, (![A__questionmark_v0_331:A_b_prod_ell2_set$]: (top$b=A__questionmark_v0_331 | ~fun_app$m(member$a('#skF_54'(A__questionmark_v0_331)), A__questionmark_v0_331))), inference(cnfTransformation, [status(thm)], [f_752])).
% 20.68/6.19 tff(c_5235, plain, (fun_app$n(image$(tensor_ell2$(psi$)), top$a)=top$b), inference(resolution, [status(thm)], [c_5231, c_404])).
% 20.68/6.19 tff(c_5239, plain, $false, inference(negUnitSimplification, [status(thm)], [c_86, c_5235])).
% 20.68/6.19 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.68/6.19
% 20.68/6.19 Inference rules
% 20.68/6.19 ----------------------
% 20.68/6.19 #Ref : 3
% 20.68/6.19 #Sup : 353
% 20.68/6.19 #Fact : 0
% 20.68/6.19 #Define : 0
% 20.68/6.19 #Split : 0
% 20.68/6.19 #Chain : 0
% 20.68/6.19 #Close : 0
% 20.68/6.19
% 20.68/6.19 Ordering : LPO
% 20.68/6.19
% 20.68/6.19 Simplification rules
% 20.68/6.19 ----------------------
% 20.68/6.19 #Subsume : 297
% 20.68/6.19 #Demod : 164
% 20.68/6.19 #Tautology : 707
% 20.68/6.19 #SimpNegUnit : 3
% 20.68/6.19 #BackRed : 1
% 20.68/6.19
% 20.68/6.19 #Partial instantiations: 0
% 20.68/6.19 #Strategies tried : 1
% 20.68/6.19
% 20.68/6.19 Timing (in seconds)
% 20.68/6.19 ----------------------
% 20.68/6.19 Preprocessing : 2.81
% 20.68/6.19 Parsing : 1.00
% 20.68/6.19 CNF conversion : 0.19
% 20.68/6.19 Main loop : 2.20
% 20.68/6.19 Inferencing : 0.32
% 20.68/6.19 Reduction : 0.88
% 20.68/6.19 Demodulation : 0.61
% 20.68/6.19 BG Simplification : 0.36
% 20.68/6.19 Subsumption : 0.51
% 20.68/6.19 Abstraction : 0.05
% 20.68/6.19 MUC search : 0.00
% 20.68/6.19 Cooper : 0.07
% 20.68/6.19 Total : 5.07
% 20.68/6.19 Index Insertion : 0.00
% 20.68/6.19 Index Deletion : 0.00
% 20.68/6.19 Index Matching : 0.00
% 20.68/6.19 BG Taut test : 0.00
%------------------------------------------------------------------------------