# 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(X4,t_fun(X4,t_bool)),X7),s(t_fun(X4,X1),X6),s(t_fun(X1,X4),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X3,X2),X9),s(t_fun(X2,X3),X10))))=>![X11]:![X12]:![X13]:![X14]:((p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X4,X3),X11),s(t_fun(X4,X3),X12))))&p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(X4,X13))),s(X4,X14)))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(X3,h4s_bools_literalu_u_case(s(t_fun(X4,X3),X11),s(X4,X13))))),s(X3,h4s_bools_literalu_u_case(s(t_fun(X4,X3),X12),s(X4,X14))))))))),file('i/f/quotient/literal__case__RSP', ch4s_quotients_literalu_u_caseu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/literal__case__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/quotient/literal__case__RSP', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X4,X1),X6),s(t_fun(X1,X4),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X3,X2),X9),s(t_fun(X2,X3),X10))))=>![X11]:![X12]:![X13]:![X14]:((p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X4,X3),X11),s(t_fun(X4,X3),X12))))&p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(X4,X13))),s(X4,X14)))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(X3,happ(s(t_fun(X4,X3),X11),s(X4,X13))))),s(X3,happ(s(t_fun(X4,X3),X12),s(X4,X14))))))))),file('i/f/quotient/literal__case__RSP', ah4s_quotients_FUNu_u_RELu_u_MP)).
fof(5, axiom,![X15]:(s(t_bool,X15)=s(t_bool,t)|s(t_bool,X15)=s(t_bool,f0)),file('i/f/quotient/literal__case__RSP', aHLu_BOOLu_CASES)).
fof(7, axiom,![X3]:![X4]:![X13]:![X18]:s(X3,h4s_bools_literalu_u_case(s(t_fun(X4,X3),X13),s(X4,X18)))=s(X3,happ(s(t_fun(X4,X3),X13),s(X4,X18))),file('i/f/quotient/literal__case__RSP', ah4s_bools_literalu_u_caseu_u_DEF)).
# SZS output end CNFRefutation
