# 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(X1,t_fun(X1,t_bool)),X5),s(t_fun(X1,X2),X4),s(t_fun(X2,X1),X3))))=>![X6]:![X7]:s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X7)))=s(t_bool,h4s_bools_in(s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6))),s(t_fun(X1,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X2),X4),s(t_fun(t_bool,t_bool),h4s_combins_i),s(t_fun(X2,t_bool),X7)))))),file('i/f/quotient_pred_set/IN__PRS', ch4s_quotientu_u_predu_u_sets_INu_u_PRS)).
fof(8, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_fun(X1,X2),X4),s(t_fun(X2,X1),X3))))=>![X13]:s(X2,happ(s(t_fun(X1,X2),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X13)))))=s(X2,X13)),file('i/f/quotient_pred_set/IN__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
fof(9, axiom,![X1]:![X2]:![X6]:![X7]:![X11]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X2),X11),s(t_fun(t_bool,t_bool),h4s_combins_i),s(t_fun(X2,t_bool),X7)))))=s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X11),s(X1,X6))),s(t_fun(X2,t_bool),X7))),file('i/f/quotient_pred_set/IN__PRS', ah4s_quotientu_u_predu_u_sets_INu_u_SETu_u_MAP)).
# SZS output end CNFRefutation
