# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2)))))=s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X1),X2))),file('i/f/llist/LFINITE__THM_c1', ch4s_llists_LFINITEu_u_THMu_c1)).
fof(3, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/llist/LFINITE__THM_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(38, axiom,![X11]:![X2]:![X3]:(p(s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X11),X2))))=>p(s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X11),h4s_llists_lcons(s(X11,X3),s(t_h4s_llists_llist(X11),X2))))))),file('i/f/llist/LFINITE__THM_c1', ah4s_llists_LFINITEu_u_rulesu_c1)).
fof(39, axiom,![X11]:![X29]:(p(s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X11),X29))))<=>(s(t_h4s_llists_llist(X11),X29)=s(t_h4s_llists_llist(X11),h4s_llists_lnil)|?[X3]:?[X2]:(s(t_h4s_llists_llist(X11),X29)=s(t_h4s_llists_llist(X11),h4s_llists_lcons(s(X11,X3),s(t_h4s_llists_llist(X11),X2)))&p(s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X11),X2))))))),file('i/f/llist/LFINITE__THM_c1', ah4s_llists_LFINITEu_u_cases)).
fof(44, axiom,![X11]:![X9]:![X10]:![X30]:![X31]:(s(t_h4s_llists_llist(X11),h4s_llists_lcons(s(X11,X31),s(t_h4s_llists_llist(X11),X10)))=s(t_h4s_llists_llist(X11),h4s_llists_lcons(s(X11,X30),s(t_h4s_llists_llist(X11),X9)))<=>(s(X11,X31)=s(X11,X30)&s(t_h4s_llists_llist(X11),X10)=s(t_h4s_llists_llist(X11),X9))),file('i/f/llist/LFINITE__THM_c1', ah4s_llists_LCONSu_u_11)).
fof(47, axiom,![X11]:![X2]:![X3]:~(s(t_h4s_llists_llist(X11),h4s_llists_lnil)=s(t_h4s_llists_llist(X11),h4s_llists_lcons(s(X11,X3),s(t_h4s_llists_llist(X11),X2)))),file('i/f/llist/LFINITE__THM_c1', ah4s_llists_LCONSu_u_NOTu_u_NILu_c1)).
fof(50, axiom,~(p(s(t_bool,f))),file('i/f/llist/LFINITE__THM_c1', aHLu_FALSITY)).
fof(58, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/llist/LFINITE__THM_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(69, axiom,p(s(t_bool,t0)),file('i/f/llist/LFINITE__THM_c1', aHLu_TRUTH)).
fof(74, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/llist/LFINITE__THM_c1', ah4s_bools_EQu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
