fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) & p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) | p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,![X0_2E0]: (~ (p(s(tyop_2Emin_2Ebool,X0_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) => p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0]: ((s(A_27a,X0_2E0) = s(A_27a,X1_2E0)) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Eiterate_2Eneutral_2E1_2Emono_2EA_27b,axiom,![A_27b]: ![X0_2E0]: (s(A_27b,c_2Eiterate_2Eneutral_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),A_27b),c_2Eiterate_2Eneutral_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EDELETE_2E2_2Emono_2EA_27d,axiom,![A_27d]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),X0_2E0),s(A_27d,X1_2E0))) = s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool))),c_2Epred__set_2EDELETE_2E0),s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),X0_2E0))),s(A_27d,X1_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27d_20mono_2EA_27b,axiom,![A_27b, A_27d]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27d,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27d,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27d,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27d,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EDIFF_2E2_2Emono_2EA_27g,axiom,![A_27g]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),c_2Epred__set_2EDIFF_2E2(s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool))),c_2Epred__set_2EDIFF_2E0),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27g_20mono_2EA_27b,axiom,![A_27b, A_27g]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27g,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27g,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2EA_27h_20mono_2EA_27i,axiom,![A_27h, A_27i]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27h,A_27i),X0_2E0),s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,A_27i),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool))),c_2Epred__set_2EIMAGE_2E0),s(tyop_2Emin_2Efun(A_27h,A_27i),X0_2E0))),s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq2_2Ec_2Ecombin_2Eo_2E2_2Emono_2EA_27h_20mono_2EA_27b_20mono_2EA_27i,axiom,![A_27b, A_27h, A_27i]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27h,A_27b),c_2Ecombin_2Eo_2E2(s(tyop_2Emin_2Efun(A_27i,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27h,A_27i),X1_2E0))) = s(tyop_2Emin_2Efun(A_27h,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,A_27i),tyop_2Emin_2Efun(A_27h,A_27b)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27i,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,A_27i),tyop_2Emin_2Efun(A_27h,A_27b))),c_2Ecombin_2Eo_2E0),s(tyop_2Emin_2Efun(A_27i,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27h,A_27i),X1_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27h_20mono_2EA_27b,axiom,![A_27b, A_27h]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27h,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27h,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EINTER_2E2_2Emono_2EA_27f,axiom,![A_27f]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool))),c_2Epred__set_2EINTER_2E0),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27f_20mono_2EA_27b,axiom,![A_27b, A_27f]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27f,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27f,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EUNION_2E2_2Emono_2EA_27e,axiom,![A_27e]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),c_2Epred__set_2EUNION_2E2(s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool))),c_2Epred__set_2EUNION_2E0),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27e_20mono_2EA_27b,axiom,![A_27b, A_27e]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27e,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27e,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Efun_28A_27c_2Ctyop_2Emin_2Ebool_29,axiom,![A_27c]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X1_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool)))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X1_2E0))),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq2_2Ec_2Epred__set_2EINSERT_2E2_2Emono_2EA_27c,axiom,![A_27c]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(A_27c,X0_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool))),c_2Epred__set_2EINSERT_2E0),s(A_27c,X0_2E0))),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X1_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27c_20mono_2EA_27b,axiom,![A_27b, A_27c]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27c,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27c,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,![A_27a, A_27b]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X2_2E0))))).
fof(arityeq3_2Ec_2Eiterate_2Esupport_2E3_2Emono_2EA_27i_20mono_2EA_27b,axiom,![A_27b, A_27i]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0),s(tyop_2Emin_2Efun(A_27i,A_27b),X1_2E0),s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27i,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27i,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool)))),c_2Eiterate_2Esupport_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),X0_2E0))),s(tyop_2Emin_2Efun(A_27i,A_27b),X1_2E0))),s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),X2_2E0))))).
fof(iterateTheory_2ESUPPORT__CLAUSES,axiom,![A_27a, A_27b, A_27c, A_27d, A_27e, A_27f, A_27g, A_27h, A_27i]: ![F0_2E0]: (![V2f_2E0, V3x_2E0, V0op_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,A_27b),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27c,A_27b),V2f_2E0))),s(A_27c,V3x_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0)))) <=> (s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27c,A_27b),V2f_2E0),s(A_27c,V3x_2E0))) = s(A_27b,c_2Eiterate_2Eneutral_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0))))) => ![V0op_2E0]: (![V1f_2E0]: (s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0)) & (![V2f_2E0, V3x_2E0, V4s_2E0]: (s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27c,A_27b),V2f_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(A_27c,V3x_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),V4s_2E0))))) = s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,A_27b),tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27c,A_27b),V2f_2E0))),s(A_27c,V3x_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0))),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27c,A_27b),V2f_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),V4s_2E0))),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(A_27c,V3x_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27c,A_27b),V2f_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Ebool),V4s_2E0)))))))) & (![V5f_2E0, V6x_2E0, V7s_2E0]: (s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27d,A_27b),V5f_2E0),s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),V7s_2E0),s(A_27d,V6x_2E0))))) = s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27d,A_27b),V5f_2E0),s(tyop_2Emin_2Efun(A_27d,tyop_2Emin_2Ebool),V7s_2E0))),s(A_27d,V6x_2E0)))) & (![V8f_2E0, V9s_2E0, V10t_2E0]: (s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27e,A_27b),V8f_2E0),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),c_2Epred__set_2EUNION_2E2(s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),V9s_2E0),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),V10t_2E0))))) = s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),c_2Epred__set_2EUNION_2E2(s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27e,A_27b),V8f_2E0),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),V9s_2E0))),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27e,A_27b),V8f_2E0),s(tyop_2Emin_2Efun(A_27e,tyop_2Emin_2Ebool),V10t_2E0)))))) & (![V11f_2E0, V12s_2E0, V13t_2E0]: (s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27f,A_27b),V11f_2E0),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),V12s_2E0),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),V13t_2E0))))) = s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27f,A_27b),V11f_2E0),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),V12s_2E0))),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27f,A_27b),V11f_2E0),s(tyop_2Emin_2Efun(A_27f,tyop_2Emin_2Ebool),V13t_2E0)))))) & (![V14f_2E0, V15s_2E0, V16t_2E0]: (s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27g,A_27b),V14f_2E0),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),c_2Epred__set_2EDIFF_2E2(s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),V15s_2E0),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),V16t_2E0))))) = s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),c_2Epred__set_2EDIFF_2E2(s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27g,A_27b),V14f_2E0),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),V15s_2E0))),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27g,A_27b),V14f_2E0),s(tyop_2Emin_2Efun(A_27g,tyop_2Emin_2Ebool),V16t_2E0)))))) & ![V17f_2E0, V18g_2E0, V19s_2E0]: (s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27i,A_27b),V18g_2E0),s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27h,A_27i),V17f_2E0),s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),V19s_2E0))))) = s(tyop_2Emin_2Efun(A_27i,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27h,A_27i),V17f_2E0),s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),c_2Eiterate_2Esupport_2E3(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,A_27b)),V0op_2E0),s(tyop_2Emin_2Efun(A_27h,A_27b),c_2Ecombin_2Eo_2E2(s(tyop_2Emin_2Efun(A_27i,A_27b),V18g_2E0),s(tyop_2Emin_2Efun(A_27h,A_27i),V17f_2E0))),s(tyop_2Emin_2Efun(A_27h,tyop_2Emin_2Ebool),V19s_2E0)))))))))))))).
