# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_ringNorms_polynom(t_h4s_rats_rat),t_h4s_rats_rat),happ(s(t_fun(t_h4s_quotes_varmap(t_h4s_rats_rat),t_fun(t_h4s_ringNorms_polynom(t_h4s_rats_rat),t_h4s_rats_rat)),h4s_ratrings_ratu_u_interpu_u_p),s(t_h4s_quotes_varmap(t_h4s_rats_rat),X1))),s(t_h4s_ringNorms_polynom(t_h4s_rats_rat),happ(s(t_fun(t_h4s_rats_rat,t_h4s_ringNorms_polynom(t_h4s_rats_rat)),h4s_ringnorms_pconst),s(t_h4s_rats_rat,X2)))))=s(t_h4s_rats_rat,X2),file('i/f/ratRing/rat__ring__thms_c2', ch4s_ratRings_ratu_u_ringu_u_thmsu_c2)).
fof(9, axiom,s(t_fun(t_h4s_quotes_varmap(t_h4s_rats_rat),t_fun(t_h4s_ringNorms_polynom(t_h4s_rats_rat),t_h4s_rats_rat)),h4s_ratrings_ratu_u_interpu_u_p)=s(t_fun(t_h4s_quotes_varmap(t_h4s_rats_rat),t_fun(t_h4s_ringNorms_polynom(t_h4s_rats_rat),t_h4s_rats_rat)),h4s_ringnorms_interpu_u_p(s(t_h4s_rings_ring(t_h4s_rats_rat),h4s_rings_ring0(s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(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_rats_rat,t_fun(t_h4s_rats_rat,t_h4s_rats_rat)),h4s_rats_ratu_u_add),s(t_fun(t_h4s_rats_rat,t_fun(t_h4s_rats_rat,t_h4s_rats_rat)),h4s_rats_ratu_u_mul),s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_ainv))))),file('i/f/ratRing/rat__ring__thms_c2', ah4s_ratRings_ratu_u_interpu_u_pu_u_def)).
fof(23, axiom,![X3]:![X1]:![X21]:![X2]:s(X3,happ(s(t_fun(t_h4s_ringNorms_polynom(X3),X3),happ(s(t_fun(t_h4s_quotes_varmap(X3),t_fun(t_h4s_ringNorms_polynom(X3),X3)),h4s_ringnorms_interpu_u_p(s(t_h4s_rings_ring(X3),X21))),s(t_h4s_quotes_varmap(X3),X1))),s(t_h4s_ringNorms_polynom(X3),happ(s(t_fun(X3,t_h4s_ringNorms_polynom(X3)),h4s_ringnorms_pconst),s(X3,X2)))))=s(X3,X2),file('i/f/ratRing/rat__ring__thms_c2', ah4s_ringNorms_interpu_u_pu_u_defu_c0)).
# SZS output end CNFRefutation
