# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_lists_list(X1),h4s_lists_front(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),h4s_lists_nil)))))=s(t_h4s_lists_list(X1),h4s_lists_nil),file('i/f/list/FRONT__CONS_c0', ch4s_lists_FRONTu_u_CONSu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/FRONT__CONS_c0', aHLu_TRUTH)).
fof(6, 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/list/FRONT__CONS_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X5),s(X1,X4)))=s(X1,X5),file('i/f/list/FRONT__CONS_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(14, axiom,![X1]:![X3]:![X8]:?[X9]:((p(s(t_bool,X9))<=>s(t_h4s_lists_list(X1),X3)=s(t_h4s_lists_list(X1),h4s_lists_nil))&s(t_h4s_lists_list(X1),h4s_lists_front(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X8),s(t_h4s_lists_list(X1),X3)))))=s(t_h4s_lists_list(X1),h4s_bools_cond(s(t_bool,X9),s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X8),s(t_h4s_lists_list(X1),h4s_lists_front(s(t_h4s_lists_list(X1),X3)))))))),file('i/f/list/FRONT__CONS_c0', ah4s_lists_FRONTu_u_DEF)).
# SZS output end CNFRefutation
