# 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(t_h4s_pairs_prod(X2,t_bool),t_bool),h4s_pairs_snd),s(t_h4s_pairs_prod(X2,t_bool),happ(s(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),X3),s(X1,X4)))))))=>s(t_fun(X2,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),X3)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/GSPEC__F__COND', ch4s_predu_u_sets_GSPECu_u_Fu_u_COND)).
fof(4, axiom,![X1]:![X4]:~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/GSPEC__F__COND', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(31, axiom,![X1]:![X2]:![X19]:![X3]:(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)),X3))),s(X1,X19))))<=>?[X4]:s(t_h4s_pairs_prod(X1,t_bool),h4s_pairs_u_2c(s(X1,X19),s(t_bool,t)))=s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X3),s(X2,X4)))),file('i/f/pred_set/GSPEC__F__COND', ah4s_predu_u_sets_GSPECIFICATIONu_u_applied)).
fof(47, axiom,![X1]:![X2]:![X5]:![X4]:s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X5)))))=s(X2,X5),file('i/f/pred_set/GSPEC__F__COND', ah4s_pairs_SND0)).
fof(57, axiom,![X9]:(s(t_bool,f0)=s(t_bool,X9)<=>~(p(s(t_bool,X9)))),file('i/f/pred_set/GSPEC__F__COND', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(73, axiom,![X1]:![X4]:![X20]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X20)))=s(t_bool,happ(s(t_fun(X1,t_bool),X20),s(X1,X4))),file('i/f/pred_set/GSPEC__F__COND', ah4s_predu_u_sets_SPECIFICATION)).
fof(74, axiom,![X1]:![X9]:![X29]:(s(t_fun(X1,t_bool),X29)=s(t_fun(X1,t_bool),X9)<=>![X4]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X29)))=s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X9)))),file('i/f/pred_set/GSPEC__F__COND', ah4s_predu_u_sets_EXTENSION)).
fof(76, axiom,p(s(t_bool,t)),file('i/f/pred_set/GSPEC__F__COND', aHLu_TRUTH)).
# SZS output end CNFRefutation
