# 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,t)),file('i/f/util_prob/MAX__LE__X', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/MAX__LE__X', aHLu_FALSITY)).
fof(6, axiom,![X6]:![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,X6))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X6)))))),file('i/f/util_prob/MAX__LE__X', ah4s_arithmetics_MAXu_u_LEu_c1)).
fof(7, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/util_prob/MAX__LE__X', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
