# 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]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X6))),s(X2,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,X6))),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X7)))))))))),file('i/f/quotient/REP__ABS__RSP', ch4s_quotients_REPu_u_ABSu_u_RSP)).
fof(2, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/quotient/REP__ABS__RSP', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(38, axiom,![X1]:![X2]:![X3]:![X4]:![X22]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))<=>(![X30]:s(X1,happ(s(t_fun(X2,X1),X4),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X30)))))=s(X1,X30)&(![X30]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X30))))),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X30))))))&![X14]:![X31]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X14))),s(X2,X31))))<=>(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X14))),s(X2,X14))))&(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X31))),s(X2,X31))))&s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X14)))=s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X31))))))))),file('i/f/quotient/REP__ABS__RSP', ah4s_quotients_QUOTIENTu_u_def)).
fof(40, axiom,![X1]:![X2]:![X3]:![X4]:![X22]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X14]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X14))),s(X2,X14))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X14))))))),s(X2,X14)))))),file('i/f/quotient/REP__ABS__RSP', ah4s_quotients_QUOTIENTu_u_REPu_u_ABS)).
fof(42, axiom,![X1]:![X2]:![X3]:![X4]:![X22]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X11]:![X20]:![X32]:((p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X11))),s(X2,X20))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X20))),s(X2,X32)))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X11))),s(X2,X32)))))),file('i/f/quotient/REP__ABS__RSP', ah4s_quotients_QUOTIENTu_u_TRANS)).
fof(43, axiom,![X1]:![X2]:![X3]:![X4]:![X22]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X11]:![X20]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X11))),s(X2,X20))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X22),s(X2,X20))),s(X2,X11)))))),file('i/f/quotient/REP__ABS__RSP', ah4s_quotients_QUOTIENTu_u_SYM)).
# SZS output end CNFRefutation
