# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_sortings_permu_u_singleu_u_swap(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X2)))=s(t_bool,h4s_sortings_permu_u_singleu_u_swap(s(t_h4s_lists_list(X1),X2),s(t_h4s_lists_list(X1),X3))),file('i/f/sorting/PERM__SINGLE__SWAP__SYM', ch4s_sortings_PERMu_u_SINGLEu_u_SWAPu_u_SYM)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/sorting/PERM__SINGLE__SWAP__SYM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(13, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_sortings_permu_u_singleu_u_swap(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X2))))<=>?[X14]:?[X15]:?[X16]:(s(t_h4s_lists_list(X1),X3)=s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X14),s(t_h4s_lists_list(X1),X15))),s(t_h4s_lists_list(X1),X16)))&s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X14),s(t_h4s_lists_list(X1),X16))),s(t_h4s_lists_list(X1),X15))))),file('i/f/sorting/PERM__SINGLE__SWAP__SYM', ah4s_sortings_PERMu_u_SINGLEu_u_SWAPu_u_DEF)).
# SZS output end CNFRefutation
