# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X3))))=>p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),X3))))))),file('i/f/sorting/PERM__MONO', ch4s_sortings_PERMu_u_MONO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/sorting/PERM__MONO', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/sorting/PERM__MONO', aHLu_FALSITY)).
fof(19, axiom,![X7]:(s(t_bool,X7)=s(t_bool,f)<=>~(p(s(t_bool,X7)))),file('i/f/sorting/PERM__MONO', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(38, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/sorting/PERM__MONO', aHLu_BOOLu_CASES)).
fof(41, axiom,![X1]:![X15]:p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),X15),s(t_h4s_lists_list(X1),X15)))),file('i/f/sorting/PERM__MONO', ah4s_sortings_PERMu_u_REFL)).
fof(42, axiom,![X1]:![X16]:![X17]:![X18]:![X19]:((p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),X19),s(t_h4s_lists_list(X1),X17))))&p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),X18),s(t_h4s_lists_list(X1),X16)))))=>p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X19),s(t_h4s_lists_list(X1),X18))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X17),s(t_h4s_lists_list(X1),X16))))))),file('i/f/sorting/PERM__MONO', ah4s_sortings_PERMu_u_CONG)).
fof(43, axiom,![X1]:![X3]:![X4]:![X20]:s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X20),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),X3)))=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X20),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X3))))),file('i/f/sorting/PERM__MONO', ah4s_lists_APPEND0u_c1)).
fof(44, axiom,![X1]:![X21]:s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X1),X21)))=s(t_h4s_lists_list(X1),X21),file('i/f/sorting/PERM__MONO', ah4s_lists_APPEND0u_c0)).
# SZS output end CNFRefutation
