# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))),file('i/f/util_prob/FINITE__REST', ch4s_utilu_u_probs_FINITEu_u_REST)).
fof(30, axiom,![X1]:![X2]:(~(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_rest(s(t_fun(X1,t_bool),X2)))))))),file('i/f/util_prob/FINITE__REST', ah4s_predu_u_sets_infiniteu_u_rest)).
fof(31, axiom,![X1]:![X2]:(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_rest(s(t_fun(X1,t_bool),X2))))))),file('i/f/util_prob/FINITE__REST', ah4s_predu_u_sets_FINITEu_u_REST)).
fof(44, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/FINITE__REST', aHLu_FALSITY)).
fof(77, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/util_prob/FINITE__REST', aHLu_BOOLu_CASES)).
fof(78, axiom,(~(p(s(t_bool,t)))<=>p(s(t_bool,f))),file('i/f/util_prob/FINITE__REST', ah4s_bools_NOTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
