# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/words/word__T__not__zero', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/word__T__not__zero', 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__T__not__zero', aHLu_BOOLu_CASES)).
fof(8, axiom,![X8]:p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_fcps_cart(t_bool,X8),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X8),h4s_wordss_n2w(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/word__T__not__zero', ah4s_wordss_wordu_u_bitu_u_0u_u_wordu_u_T)).
fof(20, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/word__T__not__zero', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(21, axiom,![X8]:s(t_h4s_fcps_cart(t_bool,X8),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X8),h4s_wordss_n2w(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_fcps_cart(t_bool,X8),h4s_wordss_wordu_u_t),file('i/f/words/word__T__not__zero', ah4s_wordss_WORDu_u_NEGu_u_1)).
fof(44, 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__T__not__zero', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(47, 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_fcps_dimindex(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))))),file('i/f/words/word__T__not__zero', ah4s_wordss_DIMINDEXu_u_GTu_u_0)).
fof(89, axiom,![X8]:![X9]:![X14]:(p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X14),s(t_h4s_fcps_cart(t_bool,X8),X9))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(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))))))))))&p(s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X8),X9),s(t_h4s_nums_num,X14)))))),file('i/f/words/word__T__not__zero', ah4s_wordss_wordu_u_bitu_u_def)).
fof(94, axiom,![X8]:![X22]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))))))=>~(p(s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X8),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_nums_num,X22)))))),file('i/f/words/word__T__not__zero', ah4s_wordss_wordu_u_0)).
fof(118, axiom,![X10]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,X10),file('i/f/words/word__T__not__zero', ah4s_numerals_numeralu_u_addu_c1)).
fof(133, conjecture,![X8]:~(s(t_h4s_fcps_cart(t_bool,X8),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X8),h4s_wordss_n2w(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_fcps_cart(t_bool,X8),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/words/word__T__not__zero', ch4s_wordss_wordu_u_Tu_u_notu_u_zero)).
# SZS output end CNFRefutation
