# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:![X7]:?[X8]:((p(s(t_bool,X8))<=>s(X1,X7)=s(X1,X4))&s(X2,happ(s(t_fun(X1,X2),happ(s(t_fun(X2,t_fun(X1,X2)),happ(s(t_fun(X2,t_fun(X2,t_fun(X1,X2))),happ(s(t_fun(X1,t_fun(X2,t_fun(X2,t_fun(X1,X2)))),X3),s(X1,X4))),s(X2,X5))),s(X2,X6))),s(X1,X7)))=s(X2,h4s_bools_cond(s(t_bool,X8),s(X2,X5),s(X2,X6))))=>![X6]:![X5]:![X4]:s(X2,h4s_bools_literalu_u_case(s(t_fun(X1,X2),happ(s(t_fun(X2,t_fun(X1,X2)),happ(s(t_fun(X2,t_fun(X2,t_fun(X1,X2))),happ(s(t_fun(X1,t_fun(X2,t_fun(X2,t_fun(X1,X2)))),X3),s(X1,X4))),s(X2,X5))),s(X2,X6))),s(X1,X4)))=s(X2,X5)),file('i/f/bool/literal__case__id', ch4s_bools_literalu_u_caseu_u_id)).
fof(3, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/bool/literal__case__id', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(53, axiom,![X2]:![X1]:![X7]:![X24]:s(X2,h4s_bools_literalu_u_case(s(t_fun(X1,X2),X7),s(X1,X24)))=s(X2,happ(s(t_fun(X1,X2),X7),s(X1,X24))),file('i/f/bool/literal__case__id', ah4s_bools_literalu_u_caseu_u_DEF)).
fof(63, axiom,![X1]:![X13]:![X14]:s(X1,h4s_bools_cond(s(t_bool,t0),s(X1,X14),s(X1,X13)))=s(X1,X14),file('i/f/bool/literal__case__id', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(70, axiom,![X13]:![X14]:![X28]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X28),s(t_bool,X14),s(t_bool,X13))))<=>((p(s(t_bool,X28))&p(s(t_bool,X14)))|(~(p(s(t_bool,X28)))&p(s(t_bool,X13))))),file('i/f/bool/literal__case__id', ah4s_bools_CONDu_u_EXPANDu_u_OR)).
# SZS output end CNFRefutation
