# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(t_fun(X2,X1),t_bool),happ(s(t_fun(t_fun(t_fun(X2,X1),t_fun(t_fun(X2,X1),t_bool)),t_fun(t_fun(X2,X1),t_bool)),h4s_quotients_respects),s(t_fun(t_fun(X2,X1),t_fun(t_fun(X2,X1),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X1,t_fun(X1,t_bool)),X4))))),s(t_fun(X2,X1),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(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X7)))))))),file('i/f/quotient/RESPECTS__THM', ch4s_quotients_RESPECTSu_u_THM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/RESPECTS__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/quotient/RESPECTS__THM', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X2]:![X8]:![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(t_fun(X2,X1),t_bool),happ(s(t_fun(t_fun(X2,X1),t_fun(t_fun(X2,X1),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(t_fun(X2,X1),X3))),s(t_fun(X2,X1),X8))))<=>![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(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6))))),s(X1,happ(s(t_fun(X2,X1),X8),s(X2,X7)))))))),file('i/f/quotient/RESPECTS__THM', ah4s_quotients_FUNu_u_REL)).
fof(7, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f0)),file('i/f/quotient/RESPECTS__THM', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X2]:![X6]:![X3]:s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(t_fun(X2,t_fun(X2,X1)),t_fun(X2,X1)),h4s_combins_w),s(t_fun(X2,t_fun(X2,X1)),X3))),s(X2,X6)))=s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(X2,t_fun(X2,X1)),X3),s(X2,X6))),s(X2,X6))),file('i/f/quotient/RESPECTS__THM', ah4s_combins_Wu_u_THM)).
fof(10, axiom,![X2]:![X1]:s(t_fun(t_fun(X2,t_fun(X2,X1)),t_fun(X2,X1)),h4s_quotients_respects)=s(t_fun(t_fun(X2,t_fun(X2,X1)),t_fun(X2,X1)),h4s_combins_w),file('i/f/quotient/RESPECTS__THM', ah4s_quotients_respectsu_u_def)).
# SZS output end CNFRefutation
