# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X2))))=>p(s(t_bool,h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X2))))),file('i/f/relation/RC__RTC', ch4s_relations_RCu_u_RTC)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/RC__RTC', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/RC__RTC', aHLu_FALSITY)).
fof(21, axiom,![X7]:(s(t_bool,X7)=s(t_bool,f)<=>~(p(s(t_bool,X7)))),file('i/f/relation/RC__RTC', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(40, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/relation/RC__RTC', aHLu_BOOLu_CASES)).
fof(43, axiom,![X1]:![X3]:![X4]:p(s(t_bool,h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X3)))),file('i/f/relation/RC__RTC', ah4s_relations_RTCu_u_RULESu_c0)).
fof(44, axiom,![X1]:![X15]:![X2]:![X3]:![X4]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2))))&p(s(t_bool,h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X2),s(X1,X15)))))=>p(s(t_bool,h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X15))))),file('i/f/relation/RC__RTC', ah4s_relations_RTCu_u_RULESu_c1)).
fof(48, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X2))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2)))))),file('i/f/relation/RC__RTC', ah4s_relations_RCu_u_DEF)).
# SZS output end CNFRefutation
