# 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)),X2),s(X1,X3))),s(X1,X4))))<=>s(X1,X4)=s(X1,X3))=>![X3]:p(s(t_bool,h4s_bools_u_3fu_21(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))))))),file('i/f/bool/EXISTS__UNIQUE__REFL', ch4s_bools_EXISTSu_u_UNIQUEu_u_REFL)).
fof(64, axiom,![X1]:![X4]:(p(s(t_bool,h4s_bools_u_3fu_21(s(t_fun(X1,t_bool),X4))))<=>(p(s(t_bool,d_exists(s(t_fun(X1,t_bool),X4))))&![X26]:![X10]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X26))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X10)))))=>s(X1,X26)=s(X1,X10)))),file('i/f/bool/EXISTS__UNIQUE__REFL', ah4s_bools_EXISTSu_u_UNIQUEu_u_DEF)).
fof(67, axiom,![X1]:![X22]:(p(s(t_bool,d_exists(s(t_fun(X1,t_bool),X22))))<=>?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X4))))),file('i/f/bool/EXISTS__UNIQUE__REFL', ah4s_bools_EXISTSu_u_THM)).
fof(84, axiom,~(p(s(t_bool,f))),file('i/f/bool/EXISTS__UNIQUE__REFL', aHLu_FALSITY)).
fof(85, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/bool/EXISTS__UNIQUE__REFL', aHLu_BOOLu_CASES)).
fof(88, axiom,(p(s(t_bool,f))<=>![X11]:p(s(t_bool,X11))),file('i/f/bool/EXISTS__UNIQUE__REFL', ah4s_bools_Fu_u_DEF)).
fof(91, axiom,![X11]:(s(t_bool,f)=s(t_bool,X11)<=>~(p(s(t_bool,X11)))),file('i/f/bool/EXISTS__UNIQUE__REFL', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(97, axiom,p(s(t_bool,t)),file('i/f/bool/EXISTS__UNIQUE__REFL', aHLu_TRUTH)).
fof(101, axiom,![X11]:(s(t_bool,t)=s(t_bool,X11)<=>p(s(t_bool,X11))),file('i/f/bool/EXISTS__UNIQUE__REFL', ah4s_bools_EQu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
