# 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)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),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))))|?[X5]:(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,X5))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X5))),s(X1,X2))))))),file('i/f/relation/TC__CASES1__E', ch4s_relations_TCu_u_CASES1u_u_E)).
fof(10, axiom,![X1]:![X5]:![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,X5))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X5))))),file('i/f/relation/TC__CASES1__E', ah4s_relations_TCu_u_RULESu_c0)).
fof(12, 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/relation/TC__CASES1__E', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(61, axiom,![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)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X2))))<=>?[X5]:(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,X5))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X5))),s(X1,X2)))))),file('i/f/relation/TC__CASES1__E', ah4s_relations_EXTENDu_u_RTCu_u_TCu_u_EQN)).
fof(68, axiom,![X1]:![X5]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X5))))<=>(s(X1,X3)=s(X1,X5)|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X5)))))),file('i/f/relation/TC__CASES1__E', ah4s_relations_RTCu_u_CASESu_u_TC)).
# SZS output end CNFRefutation
