# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/MIN__0_c0', ch4s_arithmetics_MINu_u_0u_c0)).
fof(27, axiom,![X1]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/MIN__0_c0', ah4s_arithmetics_NOTu_u_LTu_u_ZEROu_u_EQu_u_ZERO)).
fof(30, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/arithmetic/MIN__0_c0', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(46, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/MIN__0_c0', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(62, axiom,![X6]:![X1]:![X14]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X1))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X14))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/MIN__0_c0', ah4s_arithmetics_MINu_u_LTu_c1)).
# SZS output end CNFRefutation
