# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_hrats_tratu_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/hrat/TRAT__EQ__REFL', ch4s_hrats_TRATu_u_EQu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hrat/TRAT__EQ__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hrat/TRAT__EQ__REFL', aHLu_FALSITY)).
fof(4, axiom,![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X3))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X2))))))<=>s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))),file('i/f/hrat/TRAT__EQ__REFL', ah4s_hrats_tratu_u_eq0)).
fof(5, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/hrat/TRAT__EQ__REFL', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:![X5]:s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,h4s_pairs_fst(s(t_h4s_pairs_prod(X7,X8),X5))),s(X8,h4s_pairs_snd(s(t_h4s_pairs_prod(X7,X8),X5)))))=s(t_h4s_pairs_prod(X7,X8),X5),file('i/f/hrat/TRAT__EQ__REFL', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
