# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(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,h4s_relations_tc(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)),X4),s(X1,X5))),s(X1,X2))))))),file('i/f/relation/TC__CASES2', ch4s_relations_TCu_u_CASES2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/TC__CASES2', aHLu_FALSITY)).
fof(29, 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,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X5))))),file('i/f/relation/TC__CASES2', ah4s_relations_TCu_u_RULESu_c0)).
fof(30, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(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,h4s_relations_tc(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)),X4),s(X1,X5))),s(X1,X2))))))),file('i/f/relation/TC__CASES2', ah4s_relations_TCu_u_CASES2u_u_E)).
fof(31, axiom,![X1]:![X2]:![X5]:![X3]:![X4]:((p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X5))))&p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X5),s(X1,X2)))))=>p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3),s(X1,X2))))),file('i/f/relation/TC__CASES2', ah4s_relations_TCu_u_RULESu_c1)).
fof(32, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/relation/TC__CASES2', aHLu_BOOLu_CASES)).
fof(33, axiom,p(s(t_bool,t)),file('i/f/relation/TC__CASES2', aHLu_TRUTH)).
fof(36, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/relation/TC__CASES2', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
