# 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),h4s_hrats_tratu_u_sucint(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_sucint(s(t_h4s_nums_num,X1))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_1)))))),file('i/f/hrat/TRAT__SUCINT_c1', ch4s_hrats_TRATu_u_SUCINTu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hrat/TRAT__SUCINT_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hrat/TRAT__SUCINT_c1', aHLu_FALSITY)).
fof(6, axiom,![X4]:![X5]:(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X5)=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X4)=>p(s(t_bool,h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X5),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X4))))),file('i/f/hrat/TRAT__SUCINT_c1', ah4s_hrats_TRATu_u_EQu_u_AP)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/hrat/TRAT__SUCINT_c1', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]: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_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_sucint(s(t_h4s_nums_num,X1))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_1))),file('i/f/hrat/TRAT__SUCINT_c1', ah4s_hrats_tratu_u_sucint0u_c1)).
# SZS output end CNFRefutation
