# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(![X6]:![X7]:![X8]:![X9]:s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(t_fun(X3,X4),t_fun(X3,X1)),happ(s(t_fun(t_fun(X4,X2),t_fun(t_fun(X3,X4),t_fun(X3,X1))),happ(s(t_fun(t_fun(X2,X1),t_fun(t_fun(X4,X2),t_fun(t_fun(X3,X4),t_fun(X3,X1)))),X5),s(t_fun(X2,X1),X6))),s(t_fun(X4,X2),X7))),s(t_fun(X3,X4),X8))),s(X3,X9)))=s(X1,happ(s(t_fun(X2,X1),X6),s(X2,happ(s(t_fun(X4,X2),X7),s(X4,happ(s(t_fun(X3,X4),X8),s(X3,X9)))))))=>![X10]:![X8]:![X11]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X11),s(t_fun(X3,X4),X8),s(t_fun(X4,X3),X10))))=>![X12]:![X13]:![X6]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(t_fun(X1,X2),X13),s(t_fun(X2,X1),X6))))=>![X7]:![X9]:s(X2,happ(s(t_fun(X4,X2),X7),s(X4,X9)))=s(X2,h4s_quotients_u_2du_2du_3e(s(t_fun(X4,X3),X10),s(t_fun(X1,X2),X13),s(t_fun(X3,X1),happ(s(t_fun(t_fun(X3,X4),t_fun(X3,X1)),happ(s(t_fun(t_fun(X4,X2),t_fun(t_fun(X3,X4),t_fun(X3,X1))),happ(s(t_fun(t_fun(X2,X1),t_fun(t_fun(X4,X2),t_fun(t_fun(X3,X4),t_fun(X3,X1)))),X5),s(t_fun(X2,X1),X6))),s(t_fun(X4,X2),X7))),s(t_fun(X3,X4),X8))),s(X4,X9)))))),file('i/f/quotient/LAMBDA__PRS', ch4s_quotients_LAMBDAu_u_PRS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/LAMBDA__PRS', aHLu_TRUTH)).
fof(6, axiom,![X18]:![X19]:((p(s(t_bool,X19))=>p(s(t_bool,X18)))=>((p(s(t_bool,X18))=>p(s(t_bool,X19)))=>s(t_bool,X19)=s(t_bool,X18))),file('i/f/quotient/LAMBDA__PRS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(8, axiom,![X2]:![X1]:![X4]:![X3]:![X9]:![X20]:![X16]:![X7]:s(X2,h4s_quotients_u_2du_2du_3e(s(t_fun(X3,X4),X7),s(t_fun(X1,X2),X16),s(t_fun(X4,X1),X20),s(X3,X9)))=s(X2,happ(s(t_fun(X1,X2),X16),s(X1,happ(s(t_fun(X4,X1),X20),s(X4,happ(s(t_fun(X3,X4),X7),s(X3,X9))))))),file('i/f/quotient/LAMBDA__PRS', ah4s_quotients_FUNu_u_MAPu_u_THM)).
fof(9, axiom,![X3]:![X1]:![X21]:![X22]:![X23]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X23),s(t_fun(X3,X1),X22),s(t_fun(X1,X3),X21))))=>![X24]:s(X1,happ(s(t_fun(X3,X1),X22),s(X3,happ(s(t_fun(X1,X3),X21),s(X1,X24)))))=s(X1,X24)),file('i/f/quotient/LAMBDA__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
# SZS output end CNFRefutation
