# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_canonicals_spolynom(t_h4s_nums_num),t_h4s_nums_num),happ(s(t_fun(t_h4s_quotes_varmap(t_h4s_nums_num),t_fun(t_h4s_canonicals_spolynom(t_h4s_nums_num),t_h4s_nums_num)),h4s_numrings_numu_u_interpu_u_sp),s(t_h4s_quotes_varmap(t_h4s_nums_num),X1))),s(t_h4s_canonicals_spolynom(t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_h4s_canonicals_spolynom(t_h4s_nums_num)),h4s_canonicals_spconst),s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,X2),file('i/f/numRing/num__ring__thms_c2', ch4s_numRings_numu_u_ringu_u_thmsu_c2)).
fof(16, axiom,![X20]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X20),file('i/f/numRing/num__ring__thms_c2', ah4s_numerals_numeralu_u_distribu_c1)).
fof(17, axiom,![X20]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,X20))),file('i/f/numRing/num__ring__thms_c2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(19, axiom,![X8]:![X1]:![X25]:![X2]:s(X8,happ(s(t_fun(t_h4s_canonicals_spolynom(X8),X8),happ(s(t_fun(t_h4s_quotes_varmap(X8),t_fun(t_h4s_canonicals_spolynom(X8),X8)),h4s_canonicals_interpu_u_sp(s(t_h4s_semiu_u_rings_semiu_u_ring(X8),X25))),s(t_h4s_quotes_varmap(X8),X1))),s(t_h4s_canonicals_spolynom(X8),happ(s(t_fun(X8,t_h4s_canonicals_spolynom(X8)),h4s_canonicals_spconst),s(X8,X2)))))=s(X8,X2),file('i/f/numRing/num__ring__thms_c2', ah4s_canonicals_interpu_u_spu_u_defu_c0)).
fof(29, axiom,s(t_fun(t_h4s_quotes_varmap(t_h4s_nums_num),t_fun(t_h4s_canonicals_spolynom(t_h4s_nums_num),t_h4s_nums_num)),h4s_numrings_numu_u_interpu_u_sp)=s(t_fun(t_h4s_quotes_varmap(t_h4s_nums_num),t_fun(t_h4s_canonicals_spolynom(t_h4s_nums_num),t_h4s_nums_num)),h4s_canonicals_interpu_u_sp(s(t_h4s_semiu_u_rings_semiu_u_ring(t_h4s_nums_num),h4s_semiu_u_rings_semiu_u_ring0(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a))))),file('i/f/numRing/num__ring__thms_c2', ah4s_numRings_numu_u_interpu_u_spu_u_def)).
# SZS output end CNFRefutation
