# 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(5, axiom,![X6]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X6))))=>((~(s(t_fun(t_h4s_nums_num,t_bool),X6)=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty))=>(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X6))),s(t_fun(t_h4s_nums_num,t_bool),X6))))&![X3]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),X6))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X6)))))))))&(s(t_fun(t_h4s_nums_num,t_bool),X6)=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)=>s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X6)))=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_DEF)).
fof(8, axiom,![X2]:![X4]:~(s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)=s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X4),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/MAX__SET__REWRITES_c1', ah4s_predu_u_sets_NOTu_u_EMPTYu_u_SING)).
fof(45, axiom,![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X2,X4),s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X3),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))))<=>s(X2,X4)=s(X2,X3)),file('i/f/pred_set/MAX__SET__REWRITES_c1', ah4s_predu_u_sets_INu_u_SING)).
fof(48, axiom,![X2]:![X4]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X4),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_SING)).
# SZS output end CNFRefutation
