# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))))),file('i/f/arithmetic/MAX__LT_c0', ch4s_arithmetics_MAXu_u_LTu_c0)).
fof(26, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/MAX__LT_c0', ah4s_arithmetics_LESSu_u_TRANS)).
fof(27, axiom,![X2]:![X3]:((~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))&~(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2)))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))),file('i/f/arithmetic/MAX__LT_c0', ah4s_arithmetics_LESSu_u_CASESu_u_IMP)).
fof(28, axiom,![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/MAX__LT_c0', ah4s_arithmetics_MAXu_u_DEF)).
fof(29, axiom,![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/MAX__LT_c0', ah4s_arithmetics_MAXu_u_COMM)).
fof(34, axiom,![X13]:![X4]:![X5]:s(X13,h4s_bools_cond(s(t_bool,f),s(X13,X5),s(X13,X4)))=s(X13,X4),file('i/f/arithmetic/MAX__LT_c0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(35, axiom,![X13]:![X4]:![X5]:s(X13,h4s_bools_cond(s(t_bool,t),s(X13,X5),s(X13,X4)))=s(X13,X5),file('i/f/arithmetic/MAX__LT_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(45, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/MAX__LT_c0', aHLu_FALSITY)).
fof(55, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/arithmetic/MAX__LT_c0', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(58, axiom,p(s(t_bool,t)),file('i/f/arithmetic/MAX__LT_c0', aHLu_TRUTH)).
fof(59, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/arithmetic/MAX__LT_c0', aHLu_BOOLu_CASES)).
fof(61, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/arithmetic/MAX__LT_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(82, axiom,![X2]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/arithmetic/MAX__LT_c0', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
# SZS output end CNFRefutation
