# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X3))),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_predu_u_sets_empty))))))),file('i/f/set_relation/tc__empty', ch4s_setu_u_relations_tcu_u_empty)).
fof(19, axiom,![X1]:![X2]:![X3]:![X14]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X3))),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X14))))))<=>(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X3))),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X14))))|?[X8]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X3))),s(X1,X8))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X14))))&p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X8))),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X14))))))))),file('i/f/set_relation/tc__empty', ah4s_setu_u_relations_tcu_u_casesu_u_left)).
fof(54, axiom,![X1]:![X3]:![X13]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X13)))=s(t_bool,happ(s(t_fun(X1,t_bool),X13),s(X1,X3))),file('i/f/set_relation/tc__empty', ah4s_predu_u_sets_SPECIFICATION)).
fof(66, axiom,![X1]:![X3]:~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/set_relation/tc__empty', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(68, axiom,p(s(t_bool,t)),file('i/f/set_relation/tc__empty', aHLu_TRUTH)).
fof(69, axiom,![X21]:(s(t_bool,X21)=s(t_bool,t)|s(t_bool,X21)=s(t_bool,f)),file('i/f/set_relation/tc__empty', aHLu_BOOLu_CASES)).
fof(72, axiom,![X21]:(s(t_bool,X21)=s(t_bool,t)<=>p(s(t_bool,X21))),file('i/f/set_relation/tc__empty', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(79, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/set_relation/tc__empty', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
