# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_sucint(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_1)))),file('i/f/hrat/TRAT__SUCINT_c0', ch4s_hrats_TRATu_u_SUCINTu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hrat/TRAT__SUCINT_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hrat/TRAT__SUCINT_c0', aHLu_FALSITY)).
fof(6, axiom,![X3]:![X4]:(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X4)=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3)=>p(s(t_bool,h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3))))),file('i/f/hrat/TRAT__SUCINT_c0', ah4s_hrats_TRATu_u_EQu_u_AP)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/hrat/TRAT__SUCINT_c0', aHLu_BOOLu_CASES)).
fof(8, axiom,s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_sucint(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_1),file('i/f/hrat/TRAT__SUCINT_c0', ah4s_hrats_tratu_u_sucint0u_c0)).
# SZS output end CNFRefutation
