# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(X1,h4s_lists_el(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))),s(t_h4s_lists_list(X1),X3)))=s(X1,h4s_lists_el(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))))),s(t_h4s_lists_list(X1),h4s_lists_tl(s(t_h4s_lists_list(X1),X3))))),file('i/f/list/EL__simp_c0', ch4s_lists_ELu_u_simpu_c0)).
fof(6, axiom,![X15]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_0)|?[X2]:s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))),file('i/f/list/EL__simp_c0', ah4s_arithmetics_numu_u_CASES)).
fof(8, axiom,![X2]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/list/EL__simp_c0', ah4s_nums_NOTu_u_SUC)).
fof(22, axiom,![X1]:![X2]:![X3]:s(X1,h4s_lists_el(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X3)))=s(X1,h4s_lists_el(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),h4s_lists_tl(s(t_h4s_lists_list(X1),X3))))),file('i/f/list/EL__simp_c0', ah4s_lists_EL0u_c1)).
fof(45, axiom,![X15]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,X15),file('i/f/list/EL__simp_c0', ah4s_primu_u_recs_PRE0u_c1)).
fof(48, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,X8),file('i/f/list/EL__simp_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(56, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/list/EL__simp_c0', ah4s_arithmetics_BIT10)).
fof(61, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X15),file('i/f/list/EL__simp_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(62, axiom,![X2]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2))))),file('i/f/list/EL__simp_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(64, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/list/EL__simp_c0', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
