# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_bool,t_fun(X1,t_bool)),X2),s(t_bool,X3))),s(X1,X4)))=s(t_bool,X3)=>![X3]:(p(s(t_bool,h4s_bools_u_3fu_21(s(t_fun(X1,t_bool),happ(s(t_fun(t_bool,t_fun(X1,t_bool)),X2),s(t_bool,X3))))))<=>(p(s(t_bool,X3))&![X4]:![X5]:s(X1,X4)=s(X1,X5)))),file('i/f/bool/UEXISTS__SIMP', ch4s_bools_UEXISTSu_u_SIMP)).
fof(4, 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/bool/UEXISTS__SIMP', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(21, axiom,![X1]:![X15]:![X14]:(?[X4]:?[X5]:p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X1,t_fun(X15,t_bool)),X14),s(X1,X4))),s(X15,X5))))<=>?[X5]:?[X4]:p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X1,t_fun(X15,t_bool)),X14),s(X1,X4))),s(X15,X5))))),file('i/f/bool/UEXISTS__SIMP', ah4s_bools_SWAPu_u_EXISTSu_u_THM)).
fof(68, 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))))&![X27]:![X5]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X27))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X5)))))=>s(X1,X27)=s(X1,X5)))),file('i/f/bool/UEXISTS__SIMP', ah4s_bools_EXISTSu_u_UNIQUEu_u_DEF)).
fof(78, axiom,![X1]:![X8]:(p(s(t_bool,d_exists(s(t_fun(X1,t_bool),X8))))<=>?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X8),s(X1,X4))))),file('i/f/bool/UEXISTS__SIMP', ah4s_bools_EXISTSu_u_THM)).
# SZS output end CNFRefutation
