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_2Emin_2E_40_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_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(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_2Esemi__ring_2Eis__semi__ring_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Esemi__ring_2Eis__semi__ring_2E1(s(tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Esemi__ring_2Eis__semi__ring_2E0),s(tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum),X0_2E0))))).
fof(arityeq4_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2E4_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0, X1_2E0, X2_2E0, X3_2E0]: (s(tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum),c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E4(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X2_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3_2E0))) = s(tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum)))),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(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum))))),c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X2_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3_2E0))))).
fof(arityeq1_2Ec_2EnumRing_2Enum__canonical__sum__simplify_2E1,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X0_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),c_2EnumRing_2Enum__canonical__sum__simplify_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X0_2E0))))).
fof(arityeq1_2Ec_2EnumRing_2Enum__spolynom__normalize_2E1,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),c_2EnumRing_2Enum__spolynom__normalize_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0))))).
fof(arityeq2_2Ec_2Ecanonical_2ECons__varlist_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),c_2Ecanonical_2ECons__varlist_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq3_2Ec_2Ecanonical_2ECons__monom_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)))),c_2Ecanonical_2ECons__monom_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))))).
fof(arityeq1_2Ec_2Ecanonical_2ESPconst_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPconst_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum)),c_2Ecanonical_2ESPconst_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(arityeq1_2Ec_2Ecanonical_2ESPvar_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPvar_2E1(s(tyop_2Equote_2Eindex,X0_2E0))) = s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum)),c_2Ecanonical_2ESPvar_2E0),s(tyop_2Equote_2Eindex,X0_2E0))))).
fof(arityeq2_2Ec_2Ecanonical_2ESPmult_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPmult_2E2(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum))),c_2Ecanonical_2ESPmult_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq2_2Ec_2Ecanonical_2ESPplus_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPplus_2E2(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum))),c_2Ecanonical_2ESPplus_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq1_2Ec_2EnumRing_2Enum__spolynom__simplify_2E1,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__simplify_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),c_2EnumRing_2Enum__spolynom__simplify_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X0_2E0))))).
fof(arityeq2_2Ec_2Earithmetic_2E_2A_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_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_2A_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))))).
fof(arityeq3_2Ec_2EnumRing_2Enum__ivl__aux_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Equote_2Eindex,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum))),c_2EnumRing_2Enum__ivl__aux_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Equote_2Eindex,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__interp__sp_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),tyop_2Enum_2Enum)),c_2EnumRing_2Enum__interp__sp_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq2_2Ec_2Equote_2Evarmap__find_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Enum_2Enum,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,X0_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Enum_2Enum)),c_2Equote_2Evarmap__find_2E0),s(tyop_2Equote_2Eindex,X0_2E0))),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X1_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(arityeq3_2Ec_2EnumRing_2Enum__ics__aux_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Enum_2Enum))),c_2EnumRing_2Enum__ics__aux_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__interp__vl_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum)),c_2EnumRing_2Enum__interp__vl_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))))).
fof(arityeq3_2Ec_2EnumRing_2Enum__interp__m_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Enum_2Enum))),c_2EnumRing_2Enum__interp__m_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq2_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Equote_2Eindex,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex))),c_2Elist_2ECONS_2E0),s(tyop_2Equote_2Eindex,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__canonical__sum__merge_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),c_2EnumRing_2Enum__canonical__sum__merge_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__canonical__sum__prod_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),c_2EnumRing_2Enum__canonical__sum__prod_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__canonical__sum__scalar2_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),c_2EnumRing_2Enum__canonical__sum__scalar2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq3_2Ec_2EnumRing_2Enum__canonical__sum__scalar3_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar3_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)))),c_2EnumRing_2Enum__canonical__sum__scalar3_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__canonical__sum__scalar_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),c_2EnumRing_2Enum__canonical__sum__scalar_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__interp__cs_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Enum_2Enum)),c_2EnumRing_2Enum__interp__cs_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq2_2Ec_2EnumRing_2Enum__varlist__insert_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),c_2EnumRing_2Enum__varlist__insert_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))))).
fof(arityeq3_2Ec_2EternaryComparisons_2Elist__merge_2E3_2Emono_2Etyop_2Equote_2Eindex,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex)))),c_2EternaryComparisons_2Elist__merge_2E0),s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq2_2Ec_2Equote_2Evarmap__find_2E2_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,X0_2E0),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),A_27a)),c_2Equote_2Evarmap__find_2E0),s(tyop_2Equote_2Eindex,X0_2E0))),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0))))).
fof(arityeq3_2Ec_2Equote_2ENode__vm_2E3_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,X0_2E0),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0),s(tyop_2Equote_2Evarmap(A_27a),X2_2E0))) = s(tyop_2Equote_2Evarmap(A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Equote_2Evarmap(A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Equote_2Evarmap(A_27a))),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Equote_2Evarmap(A_27a)))),c_2Equote_2ENode__vm_2E0),s(A_27a,X0_2E0))),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0))),s(tyop_2Equote_2Evarmap(A_27a),X2_2E0))))).
fof(arityeq1_2Ec_2Equote_2ELeft__idx_2E1,axiom,![X0_2E0]: (s(tyop_2Equote_2Eindex,c_2Equote_2ELeft__idx_2E1(s(tyop_2Equote_2Eindex,X0_2E0))) = s(tyop_2Equote_2Eindex,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Equote_2Eindex),c_2Equote_2ELeft__idx_2E0),s(tyop_2Equote_2Eindex,X0_2E0))))).
fof(arityeq1_2Ec_2Equote_2ERight__idx_2E1,axiom,![X0_2E0]: (s(tyop_2Equote_2Eindex,c_2Equote_2ERight__idx_2E1(s(tyop_2Equote_2Eindex,X0_2E0))) = s(tyop_2Equote_2Eindex,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Equote_2Eindex),c_2Equote_2ERight__idx_2E0),s(tyop_2Equote_2Eindex,X0_2E0))))).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))))).
fof(arityeq3_2Ec_2EnumRing_2Enum__monom__insert_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)))),c_2EnumRing_2Enum__monom__insert_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))))).
fof(arityeq3_2Ec_2EternaryComparisons_2Elist__compare_2E3_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Elist__compare_2E0),s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq4_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,![X0_2E0, X1_2E0, X2_2E0, X3_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X3_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum))))),c_2EternaryComparisons_2Eordering__CASE_2E0),s(tyop_2EternaryComparisons_2Eordering,X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),X3_2E0))))).
fof(numRingTheory_2Enum__ring__thms,axiom,![A_27a]: ![F2_2E0, F1_2E0, F0_2E0]: (![V105c_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0),s(tyop_2Enum_2Enum,V105c_2E0)))) <=> (s(tyop_2Enum_2Enum,V105c_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))))))) => (![V105c_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0),s(tyop_2Enum_2Enum,V105c_2E0)))) <=> (s(tyop_2Enum_2Enum,V105c_2E0) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) => (![V24x_2E0]: (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),F0_2E0),s(A_27a,V24x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) => (p(s(tyop_2Emin_2Ebool,c_2Esemi__ring_2Eis__semi__ring_2E1(s(tyop_2Esemi__ring_2Esemi__ring(tyop_2Enum_2Enum),c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E4(s(tyop_2Enum_2Enum,c_2Enum_2E0_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_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2B_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2A_2E0)))))) & (![V0vm_2E0, V1p_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V0vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V1p_2E0))) = s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V0vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__simplify_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V1p_2E0)))))) & (((![V2vm_2E0, V3c_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V2vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPconst_2E1(s(tyop_2Enum_2Enum,V3c_2E0))))) = s(tyop_2Enum_2Enum,V3c_2E0)) & (![V4vm_2E0, V5i_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V4vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPvar_2E1(s(tyop_2Equote_2Eindex,V5i_2E0))))) = s(tyop_2Enum_2Enum,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V5i_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V4vm_2E0)))) & (![V6vm_2E0, V7p1_2E0, V8p2_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V6vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPplus_2E2(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V7p1_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V8p2_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V6vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V7p1_2E0))),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V6vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V8p2_2E0)))))) & ![V9vm_2E0, V10p1_2E0, V11p2_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V9vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPmult_2E2(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V10p1_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V11p2_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V9vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V10p1_2E0))),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__sp_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V9vm_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V11p2_2E0))))))))) & (![V12x_2E0, V13v2_2E0, V14v1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,c_2Equote_2EEnd__idx_2E0),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,V12x_2E0),s(tyop_2Equote_2Evarmap(A_27a),V14v1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V13v2_2E0))))) = s(A_27a,V12x_2E0)) & (![V15x_2E0, V16v2_2E0, V17v1_2E0, V18i1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,c_2Equote_2ERight__idx_2E1(s(tyop_2Equote_2Eindex,V18i1_2E0))),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,V15x_2E0),s(tyop_2Equote_2Evarmap(A_27a),V17v1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V16v2_2E0))))) = s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V18i1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V16v2_2E0)))) & (![V19x_2E0, V20v2_2E0, V21v1_2E0, V22i1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,c_2Equote_2ELeft__idx_2E1(s(tyop_2Equote_2Eindex,V22i1_2E0))),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,V19x_2E0),s(tyop_2Equote_2Evarmap(A_27a),V21v1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V20v2_2E0))))) = s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V22i1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V21v1_2E0)))) & ![V23i_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V23i_2E0),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2EEmpty__vm_2E0))) = s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),F0_2E0)))))))) & ((![V25t2_2E0, V26t1_2E0, V27l2_2E0, V28l1_2E0, V29c2_2E0, V30c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V30c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V28l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V26t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V29c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V27l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V25t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V28l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V27l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V30c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V28l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V26t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V29c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V27l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V25t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V30c1_2E0),s(tyop_2Enum_2Enum,V29c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V28l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V26t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V25t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V29c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V27l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V30c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V28l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V26t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V25t2_2E0)))))))) & (![V31t2_2E0, V32t1_2E0, V33l2_2E0, V34l1_2E0, V35c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V35c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V34l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V32t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V33l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V31t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V34l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V33l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V35c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V34l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V32t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V33l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V31t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V35c1_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_2Elist_2Elist(tyop_2Equote_2Eindex),V34l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V32t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V31t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V33l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V35c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V34l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V32t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V31t2_2E0)))))))) & (![V36t2_2E0, V37t1_2E0, V38l2_2E0, V39l1_2E0, V40c2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V39l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V37t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V40c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V38l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V36t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V39l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V38l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V39l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V37t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V40c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V38l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V36t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(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,V40c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V39l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V37t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V36t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V40c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V38l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V39l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V37t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V36t2_2E0)))))))) & (![V41t2_2E0, V42t1_2E0, V43l2_2E0, V44l1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V44l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V42t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V43l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V41t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V44l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V43l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V44l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V42t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V43l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V41t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(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_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V44l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V42t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V41t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V43l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V44l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V42t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V41t2_2E0)))))))) & (![V45s1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V45s1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V45s1_2E0)) & (![V46v6_2E0, V47v5_2E0, V48v4_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V48v4_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V47v5_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V46v6_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V48v4_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V47v5_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V46v6_2E0)))) & ![V49v8_2E0, V50v7_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V50v7_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V49v8_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V50v7_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V49v8_2E0)))))))))) & ((![V51t2_2E0, V52l2_2E0, V53l1_2E0, V54c2_2E0, V55c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,V55c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V53l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V54c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V52l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V51t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V53l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V52l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V55c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V53l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V54c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V52l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V51t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V55c1_2E0),s(tyop_2Enum_2Enum,V54c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V53l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V51t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V54c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V52l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,V55c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V53l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V51t2_2E0)))))))) & (![V56t2_2E0, V57l2_2E0, V58l1_2E0, V59c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,V59c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V58l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V57l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V56t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V58l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V57l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V59c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V58l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V57l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V56t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V59c1_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_2Elist_2Elist(tyop_2Equote_2Eindex),V58l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V56t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V57l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,V59c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V58l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V56t2_2E0)))))))) & ![V60l1_2E0, V61c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,V61c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V60l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V61c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V60l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))))) & ((![V62t2_2E0, V63l2_2E0, V64l1_2E0, V65c2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V64l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V65c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V63l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V62t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V64l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V63l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V64l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V65c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V63l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V62t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(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,V65c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V64l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V62t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V65c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V63l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V64l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V62t2_2E0)))))))) & (![V66t2_2E0, V67l2_2E0, V68l1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V68l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V67l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V66t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V68l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V67l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V68l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V67l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V66t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(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_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V68l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V66t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V67l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V68l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V66t2_2E0)))))))) & ![V69l1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V69l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V69l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))))) & ((![V70c0_2E0, V71c_2E0, V72l_2E0, V73t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar_2E2(s(tyop_2Enum_2Enum,V70c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V71c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V72l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V73t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,V70c0_2E0),s(tyop_2Enum_2Enum,V71c_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V72l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar_2E2(s(tyop_2Enum_2Enum,V70c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V73t_2E0)))))) & (![V74c0_2E0, V75l_2E0, V76t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar_2E2(s(tyop_2Enum_2Enum,V74c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V75l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V76t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V74c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V75l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar_2E2(s(tyop_2Enum_2Enum,V74c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V76t_2E0)))))) & ![V77c0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar_2E2(s(tyop_2Enum_2Enum,V77c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V78l0_2E0, V79c_2E0, V80l_2E0, V81t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V78l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V79c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V80l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V81t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,V79c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V78l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V80l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V78l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V81t_2E0)))))) & (![V82l0_2E0, V83l_2E0, V84t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V82l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V83l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V84t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V82l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V83l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V82l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V84t_2E0)))))) & ![V85l0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V85l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V86c0_2E0, V87l0_2E0, V88c_2E0, V89l_2E0, V90t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar3_2E3(s(tyop_2Enum_2Enum,V86c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V87l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V88c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V89l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V90t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,V86c0_2E0),s(tyop_2Enum_2Enum,V88c_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V87l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V89l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar3_2E3(s(tyop_2Enum_2Enum,V86c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V87l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V90t_2E0)))))) & (![V91c0_2E0, V92l0_2E0, V93l_2E0, V94t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar3_2E3(s(tyop_2Enum_2Enum,V91c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V92l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V93l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V94t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__monom__insert_2E3(s(tyop_2Enum_2Enum,V91c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V92l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V93l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar3_2E3(s(tyop_2Enum_2Enum,V91c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V92l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V94t_2E0)))))) & ![V95c0_2E0, V96l0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar3_2E3(s(tyop_2Enum_2Enum,V95c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V96l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V97c1_2E0, V98l1_2E0, V99t1_2E0, V100s2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V97c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V98l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V99t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V100s2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar3_2E3(s(tyop_2Enum_2Enum,V97c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V98l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V100s2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V99t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V100s2_2E0)))))) & (![V101l1_2E0, V102t1_2E0, V103s2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V101l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V102t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V103s2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V101l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V103s2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V102t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V103s2_2E0)))))) & ![V104s2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V104s2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V105c_2E0, V106l_2E0, V107t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V105c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V106l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V107t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0),s(tyop_2Enum_2Enum,V105c_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V107t_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0),s(tyop_2Enum_2Enum,V105c_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V106l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V107t_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V105c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V106l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V107t_2E0)))))))))) & (![V108l_2E0, V109t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V108l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V109t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V108l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V109t_2E0)))))) & (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V110vm_2E0, V111x_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V110vm_2E0),s(tyop_2Equote_2Eindex,V111x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0))) = s(tyop_2Enum_2Enum,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V111x_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V110vm_2E0)))) & ![V112vm_2E0, V113x_2E0, V114x_27_2E0, V115t_27_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V112vm_2E0),s(tyop_2Equote_2Eindex,V113x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V114x_27_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V115t_27_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V113x_2E0),s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V112vm_2E0))),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V112vm_2E0),s(tyop_2Equote_2Eindex,V114x_27_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V115t_27_2E0))))))) & ((![V116vm_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V116vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_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)))))) & ![V117vm_2E0, V118x_2E0, V119t_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V117vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V118x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V119t_2E0))))) = s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V117vm_2E0),s(tyop_2Equote_2Eindex,V118x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V119t_2E0))))) & ((![V120vm_2E0, V121c_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V120vm_2E0),s(tyop_2Enum_2Enum,V121c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0))) = s(tyop_2Enum_2Enum,V121c_2E0)) & ![V122vm_2E0, V123c_2E0, V124x_2E0, V125t_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V122vm_2E0),s(tyop_2Enum_2Enum,V123c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V124x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V125t_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2A_2E2(s(tyop_2Enum_2Enum,V123c_2E0),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V122vm_2E0),s(tyop_2Equote_2Eindex,V124x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V125t_2E0))))))) & ((![V126vm_2E0, V127a_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V126vm_2E0),s(tyop_2Enum_2Enum,V127a_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Enum_2Enum,V127a_2E0)) & (![V128vm_2E0, V129a_2E0, V130l_2E0, V131t_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V128vm_2E0),s(tyop_2Enum_2Enum,V129a_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V130l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V131t_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V129a_2E0),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V128vm_2E0),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V128vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V130l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V131t_2E0)))))) & ![V132vm_2E0, V133a_2E0, V134c_2E0, V135l_2E0, V136t_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V132vm_2E0),s(tyop_2Enum_2Enum,V133a_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V134c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V135l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V136t_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V133a_2E0),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V132vm_2E0),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V132vm_2E0),s(tyop_2Enum_2Enum,V134c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V135l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V136t_2E0)))))))) & ((![V137vm_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V137vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)) & (![V138vm_2E0, V139l_2E0, V140t_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V138vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V139l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V140t_2E0))))) = s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V138vm_2E0),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V138vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V139l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V140t_2E0)))) & ![V141vm_2E0, V142c_2E0, V143l_2E0, V144t_2E0]: (s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V141vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V142c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V143l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V144t_2E0))))) = s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V141vm_2E0),s(tyop_2Enum_2Enum,c_2EnumRing_2Enum__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Enum_2Enum),V141vm_2E0),s(tyop_2Enum_2Enum,V142c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V143l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),V144t_2E0)))))) & ((![V145i_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPvar_2E1(s(tyop_2Equote_2Eindex,V145i_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V145i_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))) & (![V146c_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPconst_2E1(s(tyop_2Enum_2Enum,V146c_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Enum_2Enum,V146c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2Ecanonical_2ENil__monom_2E0)))) & (![V147l_2E0, V148r_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPplus_2E2(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V147l_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V148r_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V147l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V148r_2E0)))))) & ![V149l_2E0, V150r_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),c_2Ecanonical_2ESPmult_2E2(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V149l_2E0),s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V150r_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V149l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V150r_2E0))))))))) & ![V151x_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__simplify_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V151x_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Enum_2Enum),c_2EnumRing_2Enum__spolynom__normalize_2E1(s(tyop_2Ecanonical_2Espolynom(tyop_2Enum_2Enum),V151x_2E0))))))))))))))))))))))))))).
