# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((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)),X7),s(t_fun(X1,t_fun(X1,t_bool)),X6))))),s(t_fun(X2,X1),X5))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X7),s(X2,X4))),s(X2,X3)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X4))))),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X3))))))),file('i/f/quotient/RESPECTS__MP', ch4s_quotients_RESPECTSu_u_MP)).
fof(10, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/quotient/RESPECTS__MP', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(38, axiom,![X1]:![X2]:![X25]:![X5]:![X6]:![X7]:(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)),X7),s(t_fun(X1,t_fun(X1,t_bool)),X6))),s(t_fun(X2,X1),X5))),s(t_fun(X2,X1),X25))))<=>![X4]:![X3]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X7),s(X2,X4))),s(X2,X3))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X4))))),s(X1,happ(s(t_fun(X2,X1),X25),s(X2,X3)))))))),file('i/f/quotient/RESPECTS__MP', ah4s_quotients_FUNu_u_REL)).
fof(41, 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__MP', ah4s_quotients_respectsu_u_def)).
fof(55, axiom,![X1]:![X2]:![X4]:![X5]: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)),X5))),s(X2,X4)))=s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(X2,t_fun(X2,X1)),X5),s(X2,X4))),s(X2,X4))),file('i/f/quotient/RESPECTS__MP', ah4s_combins_Wu_u_THM)).
# SZS output end CNFRefutation
