# 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(12, axiom,![X1]:![X12]:(s(t_h4s_llists_llist(X1),X12)=s(t_h4s_llists_llist(X1),h4s_llists_lnil)|?[X13]:?[X6]:s(t_h4s_llists_llist(X1),X12)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X13),s(t_h4s_llists_llist(X1),X6)))),file('i/f/llist/LAPPEND__EQ__LNIL', ah4s_llists_llistu_u_CASES)).
fof(13, axiom,![X1]:![X6]:![X13]:~(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X13),s(t_h4s_llists_llist(X1),X6)))=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(14, axiom,![X1]:![X7]:s(t_h4s_llists_llist(X1),h4s_llists_lappend(s(t_h4s_llists_llist(X1),h4s_llists_lnil),s(t_h4s_llists_llist(X1),X7)))=s(t_h4s_llists_llist(X1),X7),file('i/f/llist/LAPPEND__EQ__LNIL', ah4s_llists_LAPPEND0u_c0)).
fof(15, axiom,![X1]:![X7]:![X6]:![X13]:s(t_h4s_llists_llist(X1),h4s_llists_lappend(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X13),s(t_h4s_llists_llist(X1),X6))),s(t_h4s_llists_llist(X1),X7)))=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X13),s(t_h4s_llists_llist(X1),h4s_llists_lappend(s(t_h4s_llists_llist(X1),X6),s(t_h4s_llists_llist(X1),X7))))),file('i/f/llist/LAPPEND__EQ__LNIL', ah4s_llists_LAPPEND0u_c1)).
# SZS output end CNFRefutation
