# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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_c29', ch4s_numRings_numu_u_rewritesu_c29)).
fof(27, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/numRing/num__rewrites_c29', aHLu_BOOLu_CASES)).
fof(44, axiom,~(p(s(t_bool,f))),file('i/f/numRing/num__rewrites_c29', aHLu_FALSITY)).
fof(56, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/numRing/num__rewrites_c29', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(62, axiom,![X1]:![X22]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X22)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X1))),file('i/f/numRing/num__rewrites_c29', ah4s_arithmetics_GREATERu_u_EQ)).
fof(73, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numRing/num__rewrites_c29', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
