# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1))))),file('i/f/integer/TINT__LT__REFL', ch4s_integers_TINTu_u_LTu_u_REFL)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/TINT__LT__REFL', aHLu_FALSITY)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/integer/TINT__LT__REFL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X5]:![X6]: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,X5),s(t_h4s_nums_num,X6))),file('i/f/integer/TINT__LT__REFL', ah4s_arithmetics_ADDu_u_SYM)).
fof(13, axiom,![X8]:![X9]:![X10]:![X11]:s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X9))),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_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9))))),file('i/f/integer/TINT__LT__REFL', ah4s_integers_tintu_u_lt0)).
fof(14, axiom,![X2]:![X12]:![X1]:s(t_h4s_pairs_prod(X2,X12),h4s_pairs_u_2c(s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X12),X1))),s(X12,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X12),X1)))))=s(t_h4s_pairs_prod(X2,X12),X1),file('i/f/integer/TINT__LT__REFL', ah4s_pairs_PAIR)).
fof(15, axiom,![X7]:![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,X7)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X7))),file('i/f/integer/TINT__LT__REFL', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(16, 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__LT__REFL', ah4s_numerals_numeralu_u_lteu_c1)).
fof(17, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/integer/TINT__LT__REFL', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(18, axiom,![X5]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))=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,X5))),file('i/f/integer/TINT__LT__REFL', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(19, axiom,![X5]:![X6]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,X5))),file('i/f/integer/TINT__LT__REFL', ah4s_arithmetics_LESSu_u_EQ)).
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__LT__REFL', ah4s_numerals_numeralu_u_distribu_c27)).
# SZS output end CNFRefutation
