# 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),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(4, 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)).
fof(5, axiom,![X8]:![X1]:![X10]:![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),X10))),s(t_h4s_quotes_varmap(X8),X1))),s(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)).
# SZS output end CNFRefutation
