# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_llists_llist(X1),h4s_llists_lappend(s(t_h4s_llists_llist(X1),X3),s(t_h4s_llists_llist(X1),X2)))=s(t_h4s_llists_llist(X1),h4s_llists_lnil)<=>(s(t_h4s_llists_llist(X1),X3)=s(t_h4s_llists_llist(X1),h4s_llists_lnil)&s(t_h4s_llists_llist(X1),X2)=s(t_h4s_llists_llist(X1),h4s_llists_lnil))),file('i/f/llist/LAPPEND__EQ__LNIL', ch4s_llists_LAPPENDu_u_EQu_u_LNIL)).
fof(5, axiom,![X1]:![X7]:![X8]:~(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X8),s(t_h4s_llists_llist(X1),X7)))=s(t_h4s_llists_llist(X1),h4s_llists_lnil)),file('i/f/llist/LAPPEND__EQ__LNIL', ah4s_llists_LCONSu_u_NOTu_u_NILu_c0)).
fof(6, axiom,![X1]:![X9]:(s(t_h4s_llists_llist(X1),X9)=s(t_h4s_llists_llist(X1),h4s_llists_lnil)|?[X8]:?[X7]:s(t_h4s_llists_llist(X1),X9)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X8),s(t_h4s_llists_llist(X1),X7)))),file('i/f/llist/LAPPEND__EQ__LNIL', ah4s_llists_llistu_u_CASES)).
fof(9, axiom,![X1]:![X5]:![X7]:![X8]:s(t_h4s_llists_llist(X1),h4s_llists_lappend(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X8),s(t_h4s_llists_llist(X1),X7))),s(t_h4s_llists_llist(X1),X5)))=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X8),s(t_h4s_llists_llist(X1),h4s_llists_lappend(s(t_h4s_llists_llist(X1),X7),s(t_h4s_llists_llist(X1),X5))))),file('i/f/llist/LAPPEND__EQ__LNIL', ah4s_llists_LAPPEND0u_c1)).
fof(10, axiom,![X1]:![X5]:s(t_h4s_llists_llist(X1),h4s_llists_lappend(s(t_h4s_llists_llist(X1),h4s_llists_lnil),s(t_h4s_llists_llist(X1),X5)))=s(t_h4s_llists_llist(X1),X5),file('i/f/llist/LAPPEND__EQ__LNIL', ah4s_llists_LAPPEND0u_c0)).
# SZS output end CNFRefutation
