# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X3))))|p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2)))))=>p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/FINITE__INTER', ch4s_predu_u_sets_FINITEu_u_INTER)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/FINITE__INTER', aHLu_FALSITY)).
fof(3, axiom,![X1]:![X4]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X4))))=>![X5]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X5))))))),file('i/f/pred_set/FINITE__INTER', ah4s_predu_u_sets_INTERu_u_FINITE)).
fof(14, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/FINITE__INTER', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(17, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/pred_set/FINITE__INTER', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(59, axiom,![X1]:![X5]:![X4]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X5)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X4))),file('i/f/pred_set/FINITE__INTER', ah4s_predu_u_sets_INTERu_u_COMM)).
fof(64, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/FINITE__INTER', aHLu_BOOLu_CASES)).
fof(66, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/FINITE__INTER', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
