# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X6),s(t_fun(X3,X1),X5),s(t_fun(X1,X3),X4))))=>![X7]:![X8]:![X9]:((p(s(t_bool,h4s_quotients_respects(s(t_fun(t_fun(X3,X2),t_fun(t_fun(X3,X2),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X3,t_fun(X3,t_bool)),X6),s(t_fun(X2,t_fun(X2,t_bool)),X7))),s(t_fun(X3,X2),X8))))&p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X6),s(X3,X9))),s(X3,X9)))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X7),s(X2,happ(s(t_fun(X3,X2),X8),s(X3,happ(s(t_fun(X1,X3),X4),s(X1,happ(s(t_fun(X3,X1),X5),s(X3,X9))))))))),s(X2,happ(s(t_fun(X3,X2),X8),s(X3,X9)))))))),file('i/f/quotient/RESPECTS__REP__ABS', ch4s_quotients_RESPECTSu_u_REPu_u_ABS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/RESPECTS__REP__ABS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/quotient/RESPECTS__REP__ABS', aHLu_FALSITY)).
fof(6, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/quotient/RESPECTS__REP__ABS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X2]:![X3]:![X11]:![X12]:![X13]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X13),s(t_fun(X3,X2),X12),s(t_fun(X2,X3),X11))))=>![X14]:(p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X13),s(X3,X14))),s(X3,X14))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X13),s(X3,happ(s(t_fun(X2,X3),X11),s(X2,happ(s(t_fun(X3,X2),X12),s(X3,X14))))))),s(X3,X14)))))),file('i/f/quotient/RESPECTS__REP__ABS', ah4s_quotients_QUOTIENTu_u_REPu_u_ABS)).
fof(8, axiom,![X2]:![X3]:![X15]:![X9]:![X8]:![X7]:![X6]:((p(s(t_bool,h4s_quotients_respects(s(t_fun(t_fun(X3,X2),t_fun(t_fun(X3,X2),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X3,t_fun(X3,t_bool)),X6),s(t_fun(X2,t_fun(X2,t_bool)),X7))),s(t_fun(X3,X2),X8))))&p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X6),s(X3,X9))),s(X3,X15)))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X7),s(X2,happ(s(t_fun(X3,X2),X8),s(X3,X9))))),s(X2,happ(s(t_fun(X3,X2),X8),s(X3,X15))))))),file('i/f/quotient/RESPECTS__REP__ABS', ah4s_quotients_RESPECTSu_u_MP)).
fof(9, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f0)),file('i/f/quotient/RESPECTS__REP__ABS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
