# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/words/BOUND__ORDER_c2', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/BOUND__ORDER_c2', aHLu_FALSITY)).
fof(6, axiom,![X8]:s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/words/BOUND__ORDER_c2', ah4s_wordss_UINTu_u_MAXu_u_def)).
fof(7, axiom,![X8]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))))),file('i/f/words/BOUND__ORDER_c2', ah4s_wordss_ZEROu_u_LTu_u_UINTu_u_MAX)).
fof(12, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/BOUND__ORDER_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(22, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/words/BOUND__ORDER_c2', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(41, axiom,![X13]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X13))),file('i/f/words/BOUND__ORDER_c2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(43, axiom,![X13]:![X14]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X13))),file('i/f/words/BOUND__ORDER_c2', ah4s_arithmetics_LESSu_u_EQ)).
fof(54, axiom,![X13]:![X14]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X14))))),file('i/f/words/BOUND__ORDER_c2', ah4s_arithmetics_NOTu_u_LEQ)).
fof(85, axiom,![X13]:![X14]:(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,X13)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14)))))),file('i/f/words/BOUND__ORDER_c2', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(88, axiom,![X17]:![X13]:![X14]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,X17)<=>(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X17)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/words/BOUND__ORDER_c2', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
fof(129, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/BOUND__ORDER_c2', ah4s_arithmetics_ONE)).
fof(133, conjecture,![X8]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))))),file('i/f/words/BOUND__ORDER_c2', ch4s_wordss_BOUNDu_u_ORDERu_c2)).
# SZS output end CNFRefutation
