# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X7),s(t_fun(X3,X4),X6),s(t_fun(X4,X3),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X8),s(t_fun(X1,X2),X9),s(t_fun(X2,X1),X10))))=>![X11]:![X12]:s(X2,h4s_bools_literalu_u_case(s(t_fun(X4,X2),X11),s(X4,X12)))=s(X2,happ(s(t_fun(X1,X2),X9),s(X1,h4s_bools_literalu_u_case(s(t_fun(X3,X1),h4s_quotients_u_2du_2du_3e(s(t_fun(X3,X4),X6),s(t_fun(X2,X1),X10),s(t_fun(X4,X2),X11))),s(X3,happ(s(t_fun(X4,X3),X5),s(X4,X12))))))))),file('i/f/quotient/literal__case__PRS', ch4s_quotients_literalu_u_caseu_u_PRS)).
fof(3, axiom,![X1]:![X3]:![X12]:![X16]:s(X1,h4s_bools_literalu_u_case(s(t_fun(X3,X1),X12),s(X3,X16)))=s(X1,happ(s(t_fun(X3,X1),X12),s(X3,X16))),file('i/f/quotient/literal__case__PRS', ah4s_bools_literalu_u_caseu_u_DEF)).
fof(4, axiom,![X2]:![X1]:![X4]:![X3]:![X15]:![X11]:![X12]:![X16]:s(X2,happ(s(t_fun(X3,X2),h4s_quotients_u_2du_2du_3e(s(t_fun(X3,X4),X11),s(t_fun(X1,X2),X15),s(t_fun(X4,X1),X12))),s(X3,X16)))=s(X2,happ(s(t_fun(X1,X2),X15),s(X1,happ(s(t_fun(X4,X1),X12),s(X4,happ(s(t_fun(X3,X4),X11),s(X3,X16))))))),file('i/f/quotient/literal__case__PRS', ah4s_quotients_FUNu_u_MAP)).
fof(8, axiom,![X3]:![X1]:![X17]:![X18]:![X19]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X19),s(t_fun(X3,X1),X18),s(t_fun(X1,X3),X17))))=>![X20]:s(X1,happ(s(t_fun(X3,X1),X18),s(X3,happ(s(t_fun(X1,X3),X17),s(X1,X20)))))=s(X1,X20)),file('i/f/quotient/literal__case__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
# SZS output end CNFRefutation
