# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X4))),s(X1,X3))))<=>?[X5]:s(t_h4s_pairs_prod(X1,t_bool),h4s_pairs_u_2c(s(X1,X3),s(t_bool,t)))=s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X4),s(X2,X5)))),file('i/f/pred_set/GSPECIFICATION__applied', ch4s_predu_u_sets_GSPECIFICATIONu_u_applied)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/GSPECIFICATION__applied', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/GSPECIFICATION__applied', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/pred_set/GSPECIFICATION__applied', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X5]:![X10]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X10)))=s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X5))),file('i/f/pred_set/GSPECIFICATION__applied', ah4s_predu_u_sets_SPECIFICATION)).
fof(7, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X4))))))<=>?[X5]:s(t_h4s_pairs_prod(X1,t_bool),h4s_pairs_u_2c(s(X1,X3),s(t_bool,t)))=s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X4),s(X2,X5)))),file('i/f/pred_set/GSPECIFICATION__applied', ah4s_predu_u_sets_GSPECIFICATION)).
# SZS output end CNFRefutation
