# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))))),file('i/f/integer/LT__ADDR', ch4s_integers_LTu_u_ADDR)).
fof(14, axiom,![X9]:![X6]:![X8]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X9)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_LESSu_u_TRANS)).
fof(41, axiom,![X6]:(~(s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X6))))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(49, axiom,![X6]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X8))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_ADDu_u_COMM)).
fof(55, axiom,![X9]:![X6]:![X8]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X9)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X6))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_SUBu_u_LEFTu_u_LESS)).
fof(58, axiom,![X6]:![X8]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X8))))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_NOTu_u_LESS)).
fof(67, axiom,![X6]:![X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6))))|s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,X6))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(79, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,X8),file('i/f/integer/LT__ADDR', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
