# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))))),file('i/f/integer/LT__ADDR', ch4s_integers_LTu_u_ADDR)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/LT__ADDR', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/LT__ADDR', aHLu_FALSITY)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/integer/LT__ADDR', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X5]:![X6]:![X7]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))))&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,X7),s(t_h4s_nums_num,X5))))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(10, axiom,![X6]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X6)))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/LT__ADDR', aHLu_BOOLu_CASES)).
fof(13, axiom,![X6]:![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X7))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_ADDu_u_SYM)).
fof(15, axiom,![X5]:![X6]:![X7]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(16, axiom,![X6]:![X7]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X6))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_LESSu_u_EQ)).
fof(18, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X6),file('i/f/integer/LT__ADDR', ah4s_numerals_numeralu_u_distribu_c1)).
fof(19, axiom,![X6]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/integer/LT__ADDR', ah4s_numerals_numeralu_u_distribu_c27)).
fof(20, axiom,![X6]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/LT__ADDR', ah4s_numerals_numeralu_u_lteu_c1)).
fof(21, axiom,![X6]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6)))=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,X6))),file('i/f/integer/LT__ADDR', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
# SZS output end CNFRefutation
