# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_integers_tintu_u_eq(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__EQ__REFL', ch4s_integers_TINTu_u_EQu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/TINT__EQ__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/TINT__EQ__REFL', aHLu_FALSITY)).
fof(6, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/TINT__EQ__REFL', aHLu_BOOLu_CASES)).
fof(7, axiom,![X4]:![X5]:![X6]:![X7]:(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,X7),s(t_h4s_nums_num,X5))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X4))))))<=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))),file('i/f/integer/TINT__EQ__REFL', ah4s_integers_tintu_u_eq0)).
fof(8, axiom,![X2]:![X8]:![X1]:s(t_h4s_pairs_prod(X2,X8),h4s_pairs_u_2c(s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X8),X1))),s(X8,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X8),X1)))))=s(t_h4s_pairs_prod(X2,X8),X1),file('i/f/integer/TINT__EQ__REFL', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
