# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),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,t_h4s_ones_one),X1)<=>p(s(t_bool,X2)))<=>s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X1)=s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_bools_cond(s(t_bool,X2),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),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,t_h4s_ones_one),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/HolSmt/t028', ch4s_HolSmts_t028)).
fof(25, axiom,![X1]:![X2]:((s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X1)=s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),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)))))))<=>p(s(t_bool,X2)))<=>s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X1)=s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_bools_cond(s(t_bool,X2),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),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,t_h4s_ones_one),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/HolSmt/t028', ah4s_HolSmts_t027)).
fof(26, axiom,![X8]:![X10]:![X11]:s(X8,h4s_bools_cond(s(t_bool,t),s(X8,X11),s(X8,X10)))=s(X8,X11),file('i/f/HolSmt/t028', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(42, axiom,![X25]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X25)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/HolSmt/t028', ah4s_arithmetics_SUBu_u_EQUALu_u_0)).
fof(45, axiom,![X22]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X22),file('i/f/HolSmt/t028', ah4s_arithmetics_ADDu_u_0)).
fof(46, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0)))=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/HolSmt/t028', ah4s_numerals_numeralu_u_distribu_c13)).
fof(49, axiom,![X2]:![X15]:![X22]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,X2)<=>(s(t_h4s_nums_num,X22)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X15))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/HolSmt/t028', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
fof(50, axiom,![X2]:![X15]:![X22]:(s(t_h4s_nums_num,X22)=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2)))<=>(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X15)|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,h4s_nums_0))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2))))))),file('i/f/HolSmt/t028', ah4s_arithmetics_SUBu_u_LEFTu_u_EQ)).
fof(60, axiom,![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X29))),s(t_h4s_nums_num,X29)))=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/HolSmt/t028', ah4s_bits_SUCu_u_SUB)).
fof(62, axiom,![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/HolSmt/t028', ah4s_numerals_numeralu_u_lteu_c1)).
fof(63, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/HolSmt/t028', ah4s_numerals_numeralu_u_sucu_c0)).
fof(64, axiom,![X15]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),file('i/f/HolSmt/t028', ah4s_numerals_numeralu_u_addu_c6)).
fof(67, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/t028', aHLu_FALSITY)).
fof(69, axiom,![X16]:(s(t_bool,X16)=s(t_bool,t)<=>p(s(t_bool,X16))),file('i/f/HolSmt/t028', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
