# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_max(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),file('i/f/integer/INT__MAX__NUM', ch4s_integers_INTu_u_MAXu_u_NUM)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__MAX__NUM', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/INT__MAX__NUM', aHLu_BOOLu_CASES)).
fof(6, axiom,(p(s(t_bool,f))<=>![X3]:p(s(t_bool,X3))),file('i/f/integer/INT__MAX__NUM', ah4s_bools_Fu_u_DEF)).
fof(9, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/integer/INT__MAX__NUM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(19, axiom,![X7]:![X5]:![X6]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X6),s(X7,X5)))=s(X7,X6),file('i/f/integer/INT__MAX__NUM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(20, axiom,![X7]:![X5]:![X6]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X6),s(X7,X5)))=s(X7,X5),file('i/f/integer/INT__MAX__NUM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(23, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/integer/INT__MAX__NUM', ah4s_integers_INTu_u_LT)).
fof(24, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X2),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,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/integer/INT__MAX__NUM', ah4s_arithmetics_MAXu_u_DEF)).
fof(25, axiom,![X8]:![X4]:s(t_h4s_integers_int,h4s_integers_intu_u_max(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X8)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X8))),s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X4))),file('i/f/integer/INT__MAX__NUM', ah4s_integers_INTu_u_MAX)).
# SZS output end CNFRefutation
