# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_lists_list(X1),h4s_lists_front(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X2)))))))=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),h4s_lists_front(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X2))))))),file('i/f/list/FRONT__CONS_c1', ch4s_lists_FRONTu_u_CONSu_c1)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/FRONT__CONS_c1', aHLu_FALSITY)).
fof(6, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/list/FRONT__CONS_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X7),s(X1,X6)))=s(X1,X6),file('i/f/list/FRONT__CONS_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:![X8]:![X9]:~(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X9),s(t_h4s_lists_list(X1),X8)))=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/list/FRONT__CONS_c1', ah4s_lists_NOTu_u_CONSu_u_NIL)).
fof(14, axiom,![X1]:![X5]:![X10]:?[X11]:((p(s(t_bool,X11))<=>s(t_h4s_lists_list(X1),X5)=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,X10),s(t_h4s_lists_list(X1),X5)))))=s(t_h4s_lists_list(X1),h4s_bools_cond(s(t_bool,X11),s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X10),s(t_h4s_lists_list(X1),h4s_lists_front(s(t_h4s_lists_list(X1),X5)))))))),file('i/f/list/FRONT__CONS_c1', ah4s_lists_FRONTu_u_DEF)).
# SZS output end CNFRefutation
