# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numRing/num__rewrites_c30', ch4s_numRings_numu_u_rewritesu_c30)).
fof(25, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numRing/num__rewrites_c30', ah4s_numerals_numeralu_u_distribu_c30)).
fof(28, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,t),file('i/f/numRing/num__rewrites_c30', ah4s_numerals_numeralu_u_distribu_c29)).
fof(35, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numRing/num__rewrites_c30', ah4s_arithmetics_ALTu_u_ZERO)).
fof(51, axiom,p(s(t_bool,t)),file('i/f/numRing/num__rewrites_c30', aHLu_TRUTH)).
fof(61, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/numRing/num__rewrites_c30', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
