# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_operators_fcomm(s(t_fun(X1,t_fun(X1,X1)),X2),s(t_fun(X1,t_fun(X1,X1)),X2)))=s(t_bool,h4s_operators_assoc(s(t_fun(X1,t_fun(X1,X1)),X2))),file('i/f/operator/FCOMM__ASSOC', ch4s_operators_FCOMMu_u_ASSOC)).
fof(3, axiom,![X1]:![X2]:(p(s(t_bool,h4s_operators_assoc(s(t_fun(X1,t_fun(X1,X1)),X2))))<=>![X4]:![X3]:![X5]:s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X4))),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X3))),s(X1,X5)))))=s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X4))),s(X1,X3))))),s(X1,X5)))),file('i/f/operator/FCOMM__ASSOC', ah4s_operators_ASSOCu_u_DEF)).
fof(8, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/operator/FCOMM__ASSOC', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,![X18]:![X1]:![X19]:![X20]:![X2]:(p(s(t_bool,h4s_operators_fcomm(s(t_fun(X1,t_fun(X19,X1)),X2),s(t_fun(X18,t_fun(X1,X1)),X20))))<=>![X4]:![X3]:![X5]:s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X18,t_fun(X1,X1)),X20),s(X18,X4))),s(X1,happ(s(t_fun(X19,X1),happ(s(t_fun(X1,t_fun(X19,X1)),X2),s(X1,X3))),s(X19,X5)))))=s(X1,happ(s(t_fun(X19,X1),happ(s(t_fun(X1,t_fun(X19,X1)),X2),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X18,t_fun(X1,X1)),X20),s(X18,X4))),s(X1,X3))))),s(X19,X5)))),file('i/f/operator/FCOMM__ASSOC', ah4s_operators_FCOMMu_u_DEF)).
# SZS output end CNFRefutation
