# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,~(p(s(t_bool,h4s_integers_tintu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_0))))),file('i/f/integer/TINT__10', ch4s_integers_TINTu_u_10)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/TINT__10', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/TINT__10', aHLu_FALSITY)).
fof(6, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integer/TINT__10', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X5]:![X6]:(s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,X5)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6)))))),file('i/f/integer/TINT__10', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(10, axiom,![X7]:![X8]:![X9]:![X10]:(p(s(t_bool,h4s_integers_tintu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X8))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X7))))))<=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))),file('i/f/integer/TINT__10', ah4s_integers_tintu_u_eq0)).
fof(12, axiom,s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_0)=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/integer/TINT__10', ah4s_integers_tintu_u_00)).
fof(13, axiom,s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_1)=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),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/integer/TINT__10', ah4s_integers_tintu_u_10)).
fof(14, axiom,![X11]:![X5]:![X6]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X11))),file('i/f/integer/TINT__10', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(15, 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/integer/TINT__10', ah4s_numerals_numeralu_u_sucu_c0)).
fof(16, axiom,![X5]:![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6))))))),file('i/f/integer/TINT__10', ah4s_numerals_numeralu_u_distribu_c2)).
fof(17, axiom,![X5]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X5)))))=s(t_h4s_nums_num,X5),file('i/f/integer/TINT__10', ah4s_numerals_numeralu_u_addu_c0)).
fof(19, axiom,![X5]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/TINT__10', ah4s_numerals_numeralu_u_lteu_c1)).
fof(20, axiom,![X5]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/integer/TINT__10', ah4s_numerals_numeralu_u_distribu_c27)).
fof(21, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/integer/TINT__10', ah4s_numerals_numeralu_u_distribu_c1)).
# SZS output end CNFRefutation
