# 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(57, axiom,![X25]:![X26]:![X27]:![X28]:(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,X28),s(t_h4s_nums_num,X26))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X25))))))<=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,X25)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X26)))),file('i/f/integer/TINT__EQ__REFL', ah4s_integers_tintu_u_eq0)).
fof(62, axiom,![X2]:![X20]:![X1]:?[X16]:?[X15]:s(t_h4s_pairs_prod(X2,X20),X1)=s(t_h4s_pairs_prod(X2,X20),h4s_pairs_u_2c(s(X2,X16),s(X20,X15))),file('i/f/integer/TINT__EQ__REFL', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(76, 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)).
# SZS output end CNFRefutation
