# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/words/word__index__n2w', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/word__index__n2w', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/words/word__index__n2w', aHLu_BOOLu_CASES)).
fof(15, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/word__index__n2w', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(16, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X8),s(X9,X7)))=s(X9,X8),file('i/f/words/word__index__n2w', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(17, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X8),s(X9,X7)))=s(X9,X7),file('i/f/words/word__index__n2w', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(23, axiom,![X18]:![X9]:![X6]:![X19]:s(X9,h4s_combins_fail(s(X9,X6),s(X18,X19)))=s(X9,X6),file('i/f/words/word__index__n2w', ah4s_combins_FAILu_u_DEF)).
fof(25, axiom,![X21]:![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20))),file('i/f/words/word__index__n2w', ah4s_arithmetics_ADDu_u_SYM)).
fof(26, axiom,![X21]:![X20]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X21))),file('i/f/words/word__index__n2w', ah4s_arithmetics_LESSu_u_EQ)).
fof(32, axiom,![X21]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21)))=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,X21))),file('i/f/words/word__index__n2w', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(33, axiom,![X22]:![X21]:![X20]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X22))))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X22))),s(t_h4s_nums_num,X21))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/words/word__index__n2w', ah4s_arithmetics_SUBu_u_LEFTu_u_LESSu_u_EQ)).
fof(34, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X21),file('i/f/words/word__index__n2w', ah4s_numerals_numeralu_u_distribu_c1)).
fof(36, axiom,![X21]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/word__index__n2w', ah4s_numerals_numeralu_u_lteu_c1)).
fof(37, axiom,![X9]:![X23]:![X24]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X9),h4s_bools_theu_u_value))))))=>s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X9),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,X9),X23))),s(t_h4s_nums_num,X24)))=s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X24),s(t_h4s_fcps_cart(t_bool,X9),X23)))),file('i/f/words/word__index__n2w', ah4s_wordss_wordu_u_bit0)).
fof(38, axiom,![X9]:![X21]:![X24]:(p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X24),s(t_h4s_fcps_cart(t_bool,X9),h4s_wordss_n2w(s(t_h4s_nums_num,X21))))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X9),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))))))))))&p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X21)))))),file('i/f/words/word__index__n2w', ah4s_wordss_wordu_u_bitu_u_n2w)).
fof(39, conjecture,![X9]:![X21]:![X25]:![X26]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X9),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,X9),h4s_wordss_n2w(s(t_h4s_nums_num,X21))))),s(t_h4s_nums_num,X26)))=s(t_bool,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X9),h4s_bools_theu_u_value))))),s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,X21))),s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X9),t_fun(t_h4s_nums_num,t_bool)),h4s_combins_fail(s(t_fun(t_h4s_fcps_cart(t_bool,X9),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_bool,X25))),s(t_h4s_fcps_cart(t_bool,X9),h4s_wordss_n2w(s(t_h4s_nums_num,X21))))),s(t_h4s_nums_num,X26))))),file('i/f/words/word__index__n2w', ch4s_wordss_wordu_u_indexu_u_n2w)).
# SZS output end CNFRefutation
