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(arityeq2_2Ec_2Estate__transformer_2EBIND_2E2_2Emono_2EA_27state_20mono_2Etyop_2Eone_2Eone_20mono_2Etyop_2Eone_2Eone,axiom,![A_27state]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Estate__transformer_2EBIND_2E2(s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),X1_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),c_2Estate__transformer_2EBIND_2E0),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),X1_2E0))))).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29,axiom,![A_27state]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X1_2E0),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X2_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X1_2E0))),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X2_2E0))))).
fof(arityeq1_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29,axiom,![A_27state]: ![X0_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Ecombin_2EI_2E1(s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X0_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),c_2Ecombin_2EI_2E0),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),X0_2E0))))).
fof(arityeq1_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29_29_29,axiom,![A_27state]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),X0_2E0))))).
fof(arityeq2_2Ec_2Earithmetic_2E_2B_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2B_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29,axiom,![A_27state]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))))),c_2Epair_2E_2C_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29_29,axiom,![A_27state]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))))),c_2Epair_2E_2C_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))))).
fof(arityeq2_2Ec_2Earithmetic_2E_2D_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2D_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))))).
fof(arityeq2_2Ec_2Eprim__rec_2E_3C_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Eprim__rec_2E_3C_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))))).
fof(arityeq1_2Ec_2Earithmetic_2EBIT1_2E1,axiom,![X0_2E0]: (s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2EBIT1_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Enum_2Enum,X2_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Enum_2Enum,X2_2E0))))).
fof(arityeq1_2Ec_2Earithmetic_2ENUMERAL_2E1,axiom,![X0_2E0]: (s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2ENUMERAL_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,![A_27state]: ![X0_2E0]: (s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool))),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq2_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29_29_29_20mono_2Etyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29,axiom,![A_27state]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),c_2Erelation_2EWFREC_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),c_2Erelation_2EWFREC_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2Epair__CASE_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_20mono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29,axiom,![A_27state]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Epair_2Epair__CASE_2E2(s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),c_2Epair_2Epair__CASE_2E0),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2Epair__CASE_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_20mono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28A_27state_2Ctyop_2Epair_2Eprod_28tyop_2Eone_2Eone_2CA_27state_29_29_29_29,axiom,![A_27state]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Epair_2Epair__CASE_2E2(s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),c_2Epair_2Epair__CASE_2E0),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),X1_2E0))))).
fof(state__transformerTheory_2EFOR__primitive__def,axiom,![A_27state]: ![F0_2E0, F4_2E0, F5_2E0, F3_2E0, F2_2E0, F1_2E0]: (![V0R_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),V0R_2E0)))) <=> (p(s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),V0R_2E0)))) & ![V1a_2E0, V2j_2E0, V3i_2E0]: (~ ((s(tyop_2Enum_2Enum,V3i_2E0) = s(tyop_2Enum_2Enum,V2j_2E0))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),V0R_2E0),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,V2j_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,V2j_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V1a_2E0))))))),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,V2j_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V1a_2E0))))))))))) => (![V6i_2E0, V8j_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Enum_2Enum,V8j_2E0)))) <=> (s(tyop_2Enum_2Enum,V6i_2E0) = s(tyop_2Enum_2Enum,V8j_2E0))) => (![V4FOR_2E0, V6i_2E0, V8j_2E0, V9a_2E0, V10u_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))))),F5_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0))),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Enum_2Enum,V8j_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V9a_2E0))),s(tyop_2Eone_2Eone,V10u_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V6i_2E0),s(tyop_2Enum_2Enum,V8j_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V6i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V6i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),c_2Epair_2E_2C_2E2(s(tyop_2Enum_2Enum,V8j_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V9a_2E0)))))))) => (![V6i_2E0, V4FOR_2E0, V8j_2E0, V9a_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))))),F3_2E0),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0))),s(tyop_2Enum_2Enum,V8j_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V9a_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Ecombin_2EI_2E1(s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Enum_2Enum,V8j_2E0))),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V9a_2E0),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Estate__transformer_2EBIND_2E2(s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V9a_2E0),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))))),F5_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0))),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Enum_2Enum,V8j_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V9a_2E0)))))))))) => (![V4FOR_2E0, V6i_2E0, V7v1_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),F2_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0))),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),V7v1_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Epair_2Epair__CASE_2E2(s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),V7v1_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))))),F3_2E0),s(tyop_2Enum_2Enum,V6i_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0)))))) => (![V4FOR_2E0, V5a_27_2E0]: (s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),F1_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0))),s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),V5a_27_2E0))) = s(tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)),c_2Epair_2Epair__CASE_2E2(s(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),V5a_27_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),F2_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),V4FOR_2E0)))))) => (s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),c_2Estate__transformer_2EFOR_2E0) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),c_2Erelation_2EWFREC_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),F0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state))))),tyop_2Emin_2Efun(A_27state,tyop_2Epair_2Eprod(tyop_2Eone_2Eone,A_27state)))),F1_2E0))))))))))).
