# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))))=s(t_h4s_nums_num,X1),file('i/f/pred_set/MAX__SET__REWRITES_c1', ch4s_predu_u_sets_MAXu_u_SETu_u_REWRITESu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/MAX__SET__REWRITES_c1', aHLu_TRUTH)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/pred_set/MAX__SET__REWRITES_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/pred_set/MAX__SET__REWRITES_c1', ah4s_arithmetics_MAXu_u_0u_c0)).
fof(7, axiom,s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/pred_set/MAX__SET__REWRITES_c1', ah4s_predu_u_sets_MAXu_u_SETu_u_THMu_c0)).
fof(8, axiom,![X6]:![X1]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X6))))=>s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_bool),X6)))))=s(t_h4s_nums_num,h4s_arithmetics_max(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X6)))))),file('i/f/pred_set/MAX__SET__REWRITES_c1', ah4s_predu_u_sets_MAXu_u_SETu_u_THMu_c1)).
fof(9, axiom,![X2]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/MAX__SET__REWRITES_c1', ah4s_predu_u_sets_FINITEu_u_EMPTY)).
# SZS output end CNFRefutation
