# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X4),s(X1,X2))),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X2))))))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ch4s_predu_u_sets_SUBSETu_u_DELETEu_u_BOTH)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(21, axiom,![X1]:![X7]:![X18]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_bool),X7))))<=>![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X18))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X7)))))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(22, axiom,![X1]:![X2]:![X7]:![X18]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X7),s(X1,X2))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X18)))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_bool),X7)))))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_predu_u_sets_SUBSETu_u_DELETE)).
fof(26, axiom,![X1]:![X10]:![X2]:![X18]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X18),s(X1,X10))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X18))))&~(s(X1,X2)=s(X1,X10)))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_predu_u_sets_INu_u_DELETE)).
fof(29, axiom,![X1]:![X2]:![X18]:(~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X18)))))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X18),s(X1,X2)))=s(t_fun(X1,t_bool),X18)),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_predu_u_sets_DELETEu_u_NONu_u_ELEMENTu_u_RWT)).
# SZS output end CNFRefutation
