# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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,X3),s(X1,X2))))),file('i/f/relation/RTC__SINGLE', ch4s_relations_RTCu_u_SINGLE)).
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/RTC__SINGLE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(38, axiom,![X1]:![X19]:![X7]:(?[X3]:(s(X1,X3)=s(X1,X19)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X3)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X19))))),file('i/f/relation/RTC__SINGLE', ah4s_bools_UNWINDu_u_THM2)).
fof(47, 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/RTC__SINGLE', ah4s_relations_RTCu_u_RULESu_c0)).
fof(49, axiom,![X1]:![X23]:![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,X23)))))=>p(s(t_bool,h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X23))))),file('i/f/relation/RTC__SINGLE', ah4s_relations_RTCu_u_RULESu_c1)).
fof(53, axiom,~(p(s(t_bool,f))),file('i/f/relation/RTC__SINGLE', aHLu_FALSITY)).
fof(54, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/relation/RTC__SINGLE', aHLu_BOOLu_CASES)).
fof(64, axiom,(p(s(t_bool,f))<=>![X8]:p(s(t_bool,X8))),file('i/f/relation/RTC__SINGLE', ah4s_bools_Fu_u_DEF)).
fof(70, axiom,p(s(t_bool,t)),file('i/f/relation/RTC__SINGLE', aHLu_TRUTH)).
fof(72, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/relation/RTC__SINGLE', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
