# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(![X6]:![X7]:s(X4,happ(s(t_fun(X3,X4),happ(s(t_fun(t_fun(X3,X4),t_fun(X3,X4)),X5),s(t_fun(X3,X4),X6))),s(X3,X7)))=s(X4,happ(s(t_fun(X3,X4),X6),s(X3,X7)))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X10),s(t_fun(X3,X1),X9),s(t_fun(X1,X3),X8))))=>![X11]:![X12]:![X13]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X11),s(t_fun(X4,X2),X12),s(t_fun(X2,X4),X13))))=>![X6]:![X14]:(p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X3,t_fun(X3,t_bool)),X10),s(t_fun(X4,t_fun(X4,t_bool)),X11),s(t_fun(X3,X4),X6),s(t_fun(X3,X4),X14))))=>p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X3,t_fun(X3,t_bool)),X10),s(t_fun(X4,t_fun(X4,t_bool)),X11),s(t_fun(X3,X4),happ(s(t_fun(t_fun(X3,X4),t_fun(X3,X4)),X5),s(t_fun(X3,X4),X6))),s(t_fun(X3,X4),happ(s(t_fun(t_fun(X3,X4),t_fun(X3,X4)),X5),s(t_fun(X3,X4),X14)))))))))),file('i/f/quotient/LAMBDA__RSP', ch4s_quotients_LAMBDAu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/LAMBDA__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient/LAMBDA__RSP', aHLu_FALSITY)).
fof(8, axiom,![X15]:(s(t_bool,X15)=s(t_bool,t)|s(t_bool,X15)=s(t_bool,f)),file('i/f/quotient/LAMBDA__RSP', aHLu_BOOLu_CASES)).
fof(9, axiom,![X16]:![X17]:![X18]:![X19]:(![X7]:s(X17,happ(s(t_fun(X16,X17),X18),s(X16,X7)))=s(X17,happ(s(t_fun(X16,X17),X19),s(X16,X7)))=>s(t_fun(X16,X17),X18)=s(t_fun(X16,X17),X19)),file('i/f/quotient/LAMBDA__RSP', aHLu_EXT)).
# SZS output end CNFRefutation
