# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),X2),file('i/f/words/WORD__ADD__0_c1', ch4s_wordss_WORDu_u_ADDu_u_0u_c1)).
fof(7, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/words/WORD__ADD__0_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,![X1]:![X17]:![X18]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X18))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X17)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17))))),file('i/f/words/WORD__ADD__0_c1', ah4s_wordss_wordu_u_addu_u_n2w)).
fof(33, axiom,![X1]:![X2]:?[X17]:(s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X17)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))),file('i/f/words/WORD__ADD__0_c1', ah4s_wordss_rangedu_u_wordu_u_nchotomy)).
fof(36, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__ADD__0_c1', aHLu_FALSITY)).
fof(39, axiom,![X10]:(s(t_bool,f)=s(t_bool,X10)<=>~(p(s(t_bool,X10)))),file('i/f/words/WORD__ADD__0_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(56, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X18),file('i/f/words/WORD__ADD__0_c1', ah4s_arithmetics_ADDu_u_0)).
fof(58, axiom,![X17]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/words/WORD__ADD__0_c1', ah4s_numerals_numeralu_u_distribu_c27)).
fof(59, axiom,![X17]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))),file('i/f/words/WORD__ADD__0_c1', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(60, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,X18),file('i/f/words/WORD__ADD__0_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(61, axiom,![X17]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/words/WORD__ADD__0_c1', ah4s_numerals_numeralu_u_distribu_c17)).
fof(66, axiom,![X14]:![X17]:![X18]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,X14)<=>(s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X14)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),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,h4s_nums_0))))))),file('i/f/words/WORD__ADD__0_c1', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
# SZS output end CNFRefutation
