# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/MAX__IDEM', ch4s_arithmetics_MAXu_u_IDEM)).
fof(2, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/arithmetic/MAX__IDEM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(24, axiom,![X1]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X15))),file('i/f/arithmetic/MAX__IDEM', ah4s_arithmetics_MAXu_u_DEF)).
fof(33, axiom,![X2]:![X3]:![X16]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X16),s(t_bool,X3),s(t_bool,X2))))<=>((~(p(s(t_bool,X16)))|p(s(t_bool,X3)))&(p(s(t_bool,X16))|p(s(t_bool,X2))))),file('i/f/arithmetic/MAX__IDEM', ah4s_bools_CONDu_u_EXPAND)).
fof(36, axiom,![X10]:![X2]:![X3]:s(X10,h4s_bools_cond(s(t_bool,f),s(X10,X3),s(X10,X2)))=s(X10,X2),file('i/f/arithmetic/MAX__IDEM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(37, axiom,![X10]:![X2]:![X3]:s(X10,h4s_bools_cond(s(t_bool,t),s(X10,X3),s(X10,X2)))=s(X10,X3),file('i/f/arithmetic/MAX__IDEM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(43, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/MAX__IDEM', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(55, 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/arithmetic/MAX__IDEM', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(57, axiom,![X1]:~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/arithmetic/MAX__IDEM', ah4s_arithmetics_NOTu_u_SUCu_u_LESSu_u_EQu_u_0)).
# SZS output end CNFRefutation
