# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X6]:![X7]:![X8]:![X9]:![X10]:![X11]:((s(t_bool,X6)=s(t_bool,X7)&(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X8))),s(X2,X9))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X10))),s(X2,X11))))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,h4s_bools_cond(s(t_bool,X6),s(X2,X8),s(X2,X10))))),s(X2,h4s_bools_cond(s(t_bool,X7),s(X2,X9),s(X2,X11)))))))),file('i/f/quotient/COND__RSP', ch4s_quotients_CONDu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/COND__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient/COND__RSP', aHLu_FALSITY)).
fof(8, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)<=>p(s(t_bool,X14))),file('i/f/quotient/COND__RSP', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)|s(t_bool,X14)=s(t_bool,f)),file('i/f/quotient/COND__RSP', aHLu_BOOLu_CASES)).
fof(10, axiom,![X2]:![X12]:![X13]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X13),s(X2,X12)))=s(X2,X13),file('i/f/quotient/COND__RSP', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(11, axiom,![X2]:![X12]:![X13]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X13),s(X2,X12)))=s(X2,X12),file('i/f/quotient/COND__RSP', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
