# 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,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))))))))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))))),file('i/f/words/NUMERAL__LESS__THM_c1', ch4s_wordss_NUMERALu_u_LESSu_u_THMu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/NUMERAL__LESS__THM_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/NUMERAL__LESS__THM_c1', aHLu_FALSITY)).
fof(4, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/words/NUMERAL__LESS__THM_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(5, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))<=>(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,X2),s(t_h4s_nums_num,X1)))))),file('i/f/words/NUMERAL__LESS__THM_c1', ah4s_primu_u_recs_LESSu_u_THM)).
fof(9, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/words/NUMERAL__LESS__THM_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(26, 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_suc(s(t_h4s_nums_num,X1)))))),file('i/f/words/NUMERAL__LESS__THM_c1', ah4s_primu_u_recs_LESSu_u_SUCu_u_REFL)).
fof(42, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/words/NUMERAL__LESS__THM_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(80, axiom,![X1]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),file('i/f/words/NUMERAL__LESS__THM_c1', ah4s_numerals_numeralu_u_sucu_c1)).
# SZS output end CNFRefutation
