# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X1),X4))))=>(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X3))),s(t_h4s_lists_list(X1),X2))))=>s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X1),X3)))=s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),X2))))),file('i/f/sorting/PERM__CONG__2', ch4s_sortings_PERMu_u_CONGu_u_2)).
fof(3, axiom,![X1]:![X3]:![X5]:s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X1),X3)))=s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X3))),s(t_h4s_lists_list(X1),X5))),file('i/f/sorting/PERM__CONG__2', ah4s_sortings_PERMu_u_SYM)).
fof(5, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/sorting/PERM__CONG__2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(19, axiom,![X1]:![X17]:![X10]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X10))),s(t_h4s_lists_list(X1),X17))))<=>s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X10)))=s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X17)))),file('i/f/sorting/PERM__CONG__2', ah4s_sortings_PERMu_u_EQUIVALENCEu_u_ALTu_u_DEF)).
fof(35, axiom,![X1]:![X27]:![X17]:![X10]:((p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X10))),s(t_h4s_lists_list(X1),X17))))&p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X17))),s(t_h4s_lists_list(X1),X27)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X10))),s(t_h4s_lists_list(X1),X27))))),file('i/f/sorting/PERM__CONG__2', ah4s_sortings_PERMu_u_TRANS)).
fof(40, axiom,![X1]:![X28]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X28))),s(t_h4s_lists_list(X1),X28)))),file('i/f/sorting/PERM__CONG__2', ah4s_sortings_PERMu_u_REFL)).
fof(50, axiom,![X1]:![X29]:![X18]:(?[X10]:(s(X1,X10)=s(X1,X29)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X10)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X29))))),file('i/f/sorting/PERM__CONG__2', ah4s_bools_UNWINDu_u_THM2)).
fof(77, axiom,~(p(s(t_bool,f))),file('i/f/sorting/PERM__CONG__2', aHLu_FALSITY)).
# SZS output end CNFRefutation
