# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]: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_spplus(s(t_h4s_canonicals_spolynom(t_h4s_nums_num),X3),s(t_h4s_canonicals_spolynom(t_h4s_nums_num),X2)))))=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,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),X3))))),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),X2))))),file('i/f/numRing/num__ring__thms_c4', ch4s_numRings_numu_u_ringu_u_thmsu_c4)).
fof(4, axiom,![X9]:![X1]:![X11]:![X2]:![X3]:s(X9,happ(s(t_fun(t_h4s_canonicals_spolynom(X9),X9),happ(s(t_fun(t_h4s_quotes_varmap(X9),t_fun(t_h4s_canonicals_spolynom(X9),X9)),h4s_canonicals_interpu_u_sp(s(t_h4s_semiu_u_rings_semiu_u_ring(X9),X11))),s(t_h4s_quotes_varmap(X9),X1))),s(t_h4s_canonicals_spolynom(X9),h4s_canonicals_spplus(s(t_h4s_canonicals_spolynom(X9),X3),s(t_h4s_canonicals_spolynom(X9),X2)))))=s(X9,happ(s(t_fun(X9,X9),happ(s(t_fun(X9,t_fun(X9,X9)),h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X9),X11))),s(X9,happ(s(t_fun(t_h4s_canonicals_spolynom(X9),X9),happ(s(t_fun(t_h4s_quotes_varmap(X9),t_fun(t_h4s_canonicals_spolynom(X9),X9)),h4s_canonicals_interpu_u_sp(s(t_h4s_semiu_u_rings_semiu_u_ring(X9),X11))),s(t_h4s_quotes_varmap(X9),X1))),s(t_h4s_canonicals_spolynom(X9),X3))))),s(X9,happ(s(t_fun(t_h4s_canonicals_spolynom(X9),X9),happ(s(t_fun(t_h4s_quotes_varmap(X9),t_fun(t_h4s_canonicals_spolynom(X9),X9)),h4s_canonicals_interpu_u_sp(s(t_h4s_semiu_u_rings_semiu_u_ring(X9),X11))),s(t_h4s_quotes_varmap(X9),X1))),s(t_h4s_canonicals_spolynom(X9),X2))))),file('i/f/numRing/num__ring__thms_c4', ah4s_canonicals_interpu_u_spu_u_defu_c2)).
fof(5, 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_c4', ah4s_numRings_numu_u_interpu_u_spu_u_def)).
fof(6, axiom,![X9]:![X12]:![X6]:![X13]:![X14]:s(t_fun(X9,t_fun(X9,X9)),h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X9),h4s_semiu_u_rings_semiu_u_ring0(s(X9,X14),s(X9,X13),s(t_fun(X9,t_fun(X9,X9)),X6),s(t_fun(X9,t_fun(X9,X9)),X12)))))=s(t_fun(X9,t_fun(X9,X9)),X6),file('i/f/numRing/num__ring__thms_c4', ah4s_semiu_u_rings_semiu_u_ringu_u_accessorsu_c2)).
# SZS output end CNFRefutation
