# 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),happ(s(t_fun(t_bool,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(X1,t_fun(t_bool,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(17, axiom,p(s(t_bool,t)),file('i/f/pred_set/GSPECIFICATION__applied', aHLu_TRUTH)).
fof(18, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f0)),file('i/f/pred_set/GSPECIFICATION__applied', aHLu_BOOLu_CASES)).
fof(21, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/pred_set/GSPECIFICATION__applied', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(51, 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),happ(s(t_fun(t_bool,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(X1,t_fun(t_bool,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)).
fof(52, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/GSPECIFICATION__applied', aHLu_FALSITY)).
fof(62, axiom,![X10]:(s(t_bool,f0)=s(t_bool,X10)<=>~(p(s(t_bool,X10)))),file('i/f/pred_set/GSPECIFICATION__applied', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(63, axiom,(p(s(t_bool,f0))<=>![X10]:p(s(t_bool,X10))),file('i/f/pred_set/GSPECIFICATION__applied', ah4s_bools_Fu_u_DEF)).
fof(66, axiom,![X1]:![X5]:![X11]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X11)))=s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X5))),file('i/f/pred_set/GSPECIFICATION__applied', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
