# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X4))))))<=>(s(X1,X3)=s(X1,X2)|(~(s(X1,X3)=s(X1,X2))&p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))))),file('i/f/pred_set/IN__INSERT__EXPAND', ch4s_predu_u_sets_INu_u_INSERTu_u_EXPAND)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/IN__INSERT__EXPAND', aHLu_FALSITY)).
fof(22, axiom,![X1]:![X2]:![X3]:![X13]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X13))))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X13)))))),file('i/f/pred_set/IN__INSERT__EXPAND', ah4s_predu_u_sets_INu_u_INSERT)).
fof(24, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/pred_set/IN__INSERT__EXPAND', aHLu_BOOLu_CASES)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/pred_set/IN__INSERT__EXPAND', aHLu_TRUTH)).
# SZS output end CNFRefutation
