# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1)))=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),X2))),file('i/f/hrat/TRAT__EQ__SYM', ch4s_hrats_TRATu_u_EQu_u_SYM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hrat/TRAT__EQ__SYM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hrat/TRAT__EQ__SYM', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/hrat/TRAT__EQ__SYM', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X5]:![X8]:![X6]:(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,X6),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,X8),s(t_h4s_nums_num,X7))))))<=>s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))))),file('i/f/hrat/TRAT__EQ__SYM', ah4s_hrats_tratu_u_eq0)).
fof(7, axiom,![X4]:![X9]:![X6]:s(t_h4s_pairs_prod(X4,X9),h4s_pairs_u_2c(s(X4,h4s_pairs_fst(s(t_h4s_pairs_prod(X4,X9),X6))),s(X9,h4s_pairs_snd(s(t_h4s_pairs_prod(X4,X9),X6)))))=s(t_h4s_pairs_prod(X4,X9),X6),file('i/f/hrat/TRAT__EQ__SYM', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
