# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:s(t_bool,happ(s(t_fun(t_bool,t_bool),X1),s(t_bool,X2)))=s(t_bool,t)|(![X2]:s(t_bool,happ(s(t_fun(t_bool,t_bool),X1),s(t_bool,X2)))=s(t_bool,f0)|(![X2]:s(t_bool,happ(s(t_fun(t_bool,t_bool),X1),s(t_bool,X2)))=s(t_bool,X2)|![X2]:(p(s(t_bool,happ(s(t_fun(t_bool,t_bool),X1),s(t_bool,X2))))<=>~(p(s(t_bool,X2))))))),file('i/f/bool/BOOL__FUN__CASES__THM', ch4s_bools_BOOLu_u_FUNu_u_CASESu_u_THM)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/bool/BOOL__FUN__CASES__THM', aHLu_FALSITY)).
fof(3, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/bool/BOOL__FUN__CASES__THM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f0)),file('i/f/bool/BOOL__FUN__CASES__THM', aHLu_BOOLu_CASES)).
fof(9, axiom,p(s(t_bool,t)),file('i/f/bool/BOOL__FUN__CASES__THM', aHLu_TRUTH)).
# SZS output end CNFRefutation
