# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_weaklinearorder(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>(p(s(t_bool,h4s_relations_weakorder(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))),s(X1,X4))))|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X3))))))),file('i/f/relation/WeakLinearOrder__dichotomy', ch4s_relations_WeakLinearOrderu_u_dichotomy)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/relation/WeakLinearOrder__dichotomy', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_weakorder(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>![X15]:![X22]:(s(X1,X15)=s(X1,X22)<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X15))),s(X1,X22))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X22))),s(X1,X15))))))),file('i/f/relation/WeakLinearOrder__dichotomy', ah4s_relations_WeakOrderu_u_EQ)).
fof(23, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_weaklinearorder(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>(p(s(t_bool,h4s_relations_weakorder(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&p(s(t_bool,h4s_relations_trichotomous(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))),file('i/f/relation/WeakLinearOrder__dichotomy', ah4s_relations_WeakLinearOrder0)).
fof(24, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_trichotomous(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))),s(X1,X4))))|(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X3))))|s(X1,X3)=s(X1,X4)))),file('i/f/relation/WeakLinearOrder__dichotomy', ah4s_relations_trichotomous0)).
# SZS output end CNFRefutation
