# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X3))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))))),file('i/f/util_prob/MAX__LE__X', ch4s_utilu_u_probs_MAXu_u_LEu_u_X)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/MAX__LE__X', aHLu_FALSITY)).
fof(24, axiom,![X10]:(s(t_bool,X10)=s(t_bool,f)<=>~(p(s(t_bool,X10)))),file('i/f/util_prob/MAX__LE__X', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(43, axiom,![X9]:![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X9))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X9))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X9)))))),file('i/f/util_prob/MAX__LE__X', ah4s_arithmetics_MAXu_u_LEu_c1)).
fof(57, 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_arithmetics_max(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/util_prob/MAX__LE__X', ah4s_arithmetics_MAXu_u_COMM)).
fof(76, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/util_prob/MAX__LE__X', aHLu_BOOLu_CASES)).
fof(77, axiom,(~(p(s(t_bool,t)))<=>p(s(t_bool,f))),file('i/f/util_prob/MAX__LE__X', ah4s_bools_NOTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
