# 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))))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)=s(t_fun(X1,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X2),X3),s(t_fun(t_bool,t_bool),h4s_combins_i),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)))),file('i/f/quotient_pred_set/EMPTY__PRS', ch4s_quotientu_u_predu_u_sets_EMPTYu_u_PRS)).
fof(10, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/quotient_pred_set/EMPTY__PRS', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(11, axiom,![X2]:![X6]:![X10]:(s(t_fun(X2,t_bool),X10)=s(t_fun(X2,t_bool),X6)<=>![X9]:s(t_bool,h4s_bools_in(s(X2,X9),s(t_fun(X2,t_bool),X10)))=s(t_bool,h4s_bools_in(s(X2,X9),s(t_fun(X2,t_bool),X6)))),file('i/f/quotient_pred_set/EMPTY__PRS', ah4s_predu_u_sets_EXTENSION)).
fof(12, axiom,![X2]:![X1]:![X9]:![X10]:![X11]:s(t_bool,h4s_bools_in(s(X2,X9),s(t_fun(X2,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X2,X1),X11),s(t_fun(t_bool,t_bool),h4s_combins_i),s(t_fun(X1,t_bool),X10)))))=s(t_bool,h4s_bools_in(s(X1,happ(s(t_fun(X2,X1),X11),s(X2,X9))),s(t_fun(X1,t_bool),X10))),file('i/f/quotient_pred_set/EMPTY__PRS', ah4s_quotientu_u_predu_u_sets_INu_u_SETu_u_MAP)).
fof(13, axiom,![X2]:![X9]:~(p(s(t_bool,h4s_bools_in(s(X2,X9),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))),file('i/f/quotient_pred_set/EMPTY__PRS', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
