# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&p(s(t_bool,h4s_relations_total(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=>p(s(t_bool,h4s_sortings_sorts(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_sortings_qsort),s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/sorting/QSORT__SORTS', ch4s_sortings_QSORTu_u_SORTS)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/sorting/QSORT__SORTS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X1]:![X14]:![X2]:(p(s(t_bool,h4s_sortings_sorts(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),X14),s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X15]:(p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),X15),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),X14),s(t_fun(X1,t_fun(X1,t_bool)),X2))),s(t_h4s_lists_list(X1),X15))))))&p(s(t_bool,h4s_sortings_sorted(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),X14),s(t_fun(X1,t_fun(X1,t_bool)),X2))),s(t_h4s_lists_list(X1),X15)))))))),file('i/f/sorting/QSORT__SORTS', ah4s_sortings_SORTSu_u_DEF)).
fof(25, axiom,![X1]:![X2]:![X22]:((p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&p(s(t_bool,h4s_relations_total(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=>p(s(t_bool,h4s_sortings_sorted(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_sortings_qsort),s(t_fun(X1,t_fun(X1,t_bool)),X2))),s(t_h4s_lists_list(X1),X22))))))),file('i/f/sorting/QSORT__SORTS', ah4s_sortings_QSORTu_u_SORTED)).
fof(26, axiom,![X1]:![X2]:![X22]:p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),X22),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_sortings_qsort),s(t_fun(X1,t_fun(X1,t_bool)),X2))),s(t_h4s_lists_list(X1),X22)))))),file('i/f/sorting/QSORT__SORTS', ah4s_sortings_QSORTu_u_PERM)).
# SZS output end CNFRefutation
