# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,f),file('i/f/numeral/numeral__distrib_c20', ch4s_numerals_numeralu_u_distribu_c20)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__distrib_c20', aHLu_FALSITY)).
fof(6, axiom,![X1]:~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/numeral/numeral__distrib_c20', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(7, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/numeral/numeral__distrib_c20', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,(p(s(t_bool,f))<=>![X2]:p(s(t_bool,X2))),file('i/f/numeral/numeral__distrib_c20', ah4s_bools_Fu_u_DEF)).
fof(20, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/numeral/numeral__distrib_c20', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
