# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_integers_tintu_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))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_integers_tintu_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_integers_tintu_u_lt(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),X2)))=s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1)))),file('i/f/integer/TINT__LT__WELLDEF', ch4s_integers_TINTu_u_LTu_u_WELLDEF)).
fof(19, axiom,![X17]:![X18]:(s(t_bool,X18)=s(t_bool,X17)<=>((p(s(t_bool,X18))&p(s(t_bool,X17)))|(~(p(s(t_bool,X18)))&~(p(s(t_bool,X17)))))),file('i/f/integer/TINT__LT__WELLDEF', ah4s_bools_EQu_u_EXPAND)).
fof(25, axiom,![X11]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_integers_tintu_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))))=>s(t_bool,h4s_integers_tintu_u_lt(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),X11)))=s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X11)))),file('i/f/integer/TINT__LT__WELLDEF', ah4s_integers_TINTu_u_LTu_u_WELLDEFR)).
fof(26, axiom,![X1]:![X2]:![X9]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_integers_tintu_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_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X9),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2)))=s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X9),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1)))),file('i/f/integer/TINT__LT__WELLDEF', ah4s_integers_TINTu_u_LTu_u_WELLDEFL)).
# SZS output end CNFRefutation
